%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PRO004+2 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n012.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 05:23:01 AM UTC 2025
% Result : Theorem 1.69s 1.86s
% Output : Proof 1.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : PRO004+2 : TPTP v9.0.0. Released v4.0.0.
% 0.08/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jun 20 02:29:55 EDT 2025
% 0.13/0.34 % CPUTime :
% 1.69/1.86 % SZS status Theorem
% 1.69/1.86 % SZS output start Proof
% 1.69/1.86 tff(occurrence_of_type, type, (
% 1.69/1.86 occurrence_of: ( $i * $i ) > $o)).
% 1.69/1.86 tff(tptp3_type, type, (
% 1.69/1.86 tptp3: $i)).
% 1.69/1.86 tff(tptp_fun_X104_16_type, type, (
% 1.69/1.86 tptp_fun_X104_16: $i > $i)).
% 1.69/1.86 tff(tptp_fun_X96_15_type, type, (
% 1.69/1.86 tptp_fun_X96_15: $i > $i)).
% 1.69/1.86 tff(tptp_fun_X73_8_type, type, (
% 1.69/1.86 tptp_fun_X73_8: ( $i * $i * $i ) > $i)).
% 1.69/1.86 tff(tptp0_type, type, (
% 1.69/1.86 tptp0: $i)).
% 1.69/1.86 tff(tptp_fun_X105_17_type, type, (
% 1.69/1.86 tptp_fun_X105_17: $i)).
% 1.69/1.86 tff(tptp_fun_X97_14_type, type, (
% 1.69/1.86 tptp_fun_X97_14: $i > $i)).
% 1.69/1.86 tff(tptp_fun_X93_13_type, type, (
% 1.69/1.86 tptp_fun_X93_13: ( $i * $i ) > $i)).
% 1.69/1.86 tff(leaf_occ_type, type, (
% 1.69/1.86 leaf_occ: ( $i * $i ) > $o)).
% 1.69/1.86 tff(root_occ_type, type, (
% 1.69/1.86 root_occ: ( $i * $i ) > $o)).
% 1.69/1.86 tff(root_type, type, (
% 1.69/1.86 root: ( $i * $i ) > $o)).
% 1.69/1.86 tff(subactivity_occurrence_type, type, (
% 1.69/1.86 subactivity_occurrence: ( $i * $i ) > $o)).
% 1.69/1.86 tff(min_precedes_type, type, (
% 1.69/1.86 min_precedes: ( $i * $i * $i ) > $o)).
% 1.69/1.86 tff(tptp_fun_X37_2_type, type, (
% 1.69/1.86 tptp_fun_X37_2: ( $i * $i ) > $i)).
% 1.69/1.86 tff(leaf_type, type, (
% 1.69/1.86 leaf: ( $i * $i ) > $o)).
% 1.69/1.86 tff(tptp_fun_X76_9_type, type, (
% 1.69/1.86 tptp_fun_X76_9: ( $i * $i ) > $i)).
% 1.69/1.86 tff(next_subocc_type, type, (
% 1.69/1.86 next_subocc: ( $i * $i * $i ) > $o)).
% 1.69/1.86 tff(tptp4_type, type, (
% 1.69/1.86 tptp4: $i)).
% 1.69/1.86 tff(tptp_fun_X18_0_type, type, (
% 1.69/1.86 tptp_fun_X18_0: ( $i * $i * $i ) > $i)).
% 1.69/1.86 tff(atomic_type, type, (
% 1.69/1.86 atomic: $i > $o)).
% 1.69/1.86 tff(arboreal_type, type, (
% 1.69/1.86 arboreal: $i > $o)).
% 1.69/1.86 tff(legal_type, type, (
% 1.69/1.86 legal: $i > $o)).
% 1.69/1.86 tff(tptp1_type, type, (
% 1.69/1.86 tptp1: $i)).
% 1.69/1.86 tff(tptp_fun_X34_1_type, type, (
% 1.69/1.86 tptp_fun_X34_1: ( $i * $i ) > $i)).
% 1.69/1.86 tff(1,assumption,(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)), introduced(assumption)).
% 1.69/1.86 tff(2,plain,
% 1.69/1.86 (root(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp0) <=> root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp0)),
% 1.69/1.86 inference(monotonicity,[status(thm)],[1])).
% 1.69/1.86 tff(3,plain,
% 1.69/1.86 (root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp0) <=> root(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp0)),
% 1.69/1.86 inference(symmetry,[status(thm)],[2])).
% 1.69/1.86 tff(4,assumption,(~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))), introduced(assumption)).
% 1.69/1.86 tff(5,plain,
% 1.69/1.86 (((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))))) | occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))),
% 1.69/1.86 inference(tautology,[status(thm)],[])).
% 1.69/1.86 tff(6,plain,
% 1.69/1.86 (occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))),
% 1.69/1.86 inference(unit_resolution,[status(thm)],[5, 4])).
% 1.69/1.86 tff(7,plain,
% 1.69/1.86 (^[X15: $i, X16: $i, X17: $i] : rewrite((~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))) <=> (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))))))),
% 1.69/1.86 inference(bind,[status(th)],[])).
% 1.69/1.86 tff(8,plain,
% 1.69/1.86 (![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))) <=> ![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))),
% 1.69/1.86 inference(quant_intro,[status(thm)],[7])).
% 1.69/1.86 tff(9,plain,
% 1.69/1.86 (^[X15: $i, X16: $i, X17: $i] : refl((~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))) <=> (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))))),
% 1.69/1.86 inference(bind,[status(th)],[])).
% 1.69/1.86 tff(10,plain,
% 1.69/1.86 (![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))) <=> ![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))))),
% 1.69/1.86 inference(quant_intro,[status(thm)],[9])).
% 1.69/1.86 tff(11,plain,
% 1.69/1.86 (^[X15: $i, X16: $i, X17: $i] : rewrite((~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))) <=> (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))))),
% 1.69/1.86 inference(bind,[status(th)],[])).
% 1.69/1.86 tff(12,plain,
% 1.69/1.86 (![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))) <=> ![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))))),
% 1.69/1.86 inference(quant_intro,[status(thm)],[11])).
% 1.69/1.86 tff(13,plain,
% 1.69/1.86 (![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))) <=> ![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))))),
% 1.69/1.86 inference(transitivity,[status(thm)],[12, 10])).
% 1.69/1.86 tff(14,plain,
% 1.69/1.86 (^[X15: $i, X16: $i, X17: $i] : trans(monotonicity(rewrite(((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) <=> ((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))), trans(monotonicity(rewrite((min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)) <=> (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))), ((next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))) <=> (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))), rewrite((next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))) <=> (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))), ((next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))) <=> (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))), ((((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))) <=> (((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))) & (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))), rewrite((((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))) & (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) <=> (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))))), ((((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))) <=> (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))))))),
% 1.69/1.86 inference(bind,[status(th)],[])).
% 1.69/1.86 tff(15,plain,
% 1.69/1.86 (![X15: $i, X16: $i, X17: $i] : (((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))) <=> ![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))))),
% 1.69/1.86 inference(quant_intro,[status(thm)],[14])).
% 1.69/1.86 tff(16,plain,
% 1.69/1.86 (^[X15: $i, X16: $i, X17: $i] : rewrite((((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | ((~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))) <=> (((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))),
% 1.69/1.86 inference(bind,[status(th)],[])).
% 1.69/1.86 tff(17,plain,
% 1.69/1.86 (![X15: $i, X16: $i, X17: $i] : (((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | ((~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))) <=> ![X15: $i, X16: $i, X17: $i] : (((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))),
% 1.69/1.86 inference(quant_intro,[status(thm)],[16])).
% 1.69/1.86 tff(18,plain,
% 1.69/1.86 (![X15: $i, X16: $i, X17: $i] : (next_subocc(X15, X16, X17) <=> (min_precedes(X15, X16, X17) & (~?[X18: $i] : (min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) <=> ![X15: $i, X16: $i, X17: $i] : (next_subocc(X15, X16, X17) <=> (min_precedes(X15, X16, X17) & (~?[X18: $i] : (min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17)))))),
% 1.69/1.86 inference(rewrite,[status(thm)],[])).
% 1.69/1.86 tff(19,axiom,(![X15: $i, X16: $i, X17: $i] : (next_subocc(X15, X16, X17) <=> (min_precedes(X15, X16, X17) & (~?[X18: $i] : (min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_04')).
% 1.69/1.86 tff(20,plain,
% 1.69/1.86 (![X15: $i, X16: $i, X17: $i] : (next_subocc(X15, X16, X17) <=> (min_precedes(X15, X16, X17) & (~?[X18: $i] : (min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17)))))),
% 1.69/1.86 inference(modus_ponens,[status(thm)],[19, 18])).
% 1.69/1.86 tff(21,plain,(
% 1.69/1.86 ![X15: $i, X16: $i, X17: $i] : (((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | ((~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))),
% 1.69/1.86 inference(skolemize,[status(sab)],[20])).
% 1.69/1.86 tff(22,plain,
% 1.69/1.86 (![X15: $i, X16: $i, X17: $i] : (((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))),
% 1.69/1.86 inference(modus_ponens,[status(thm)],[21, 17])).
% 1.69/1.86 tff(23,plain,
% 1.69/1.86 (![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))))),
% 1.69/1.86 inference(modus_ponens,[status(thm)],[22, 15])).
% 1.69/1.86 tff(24,plain,
% 1.69/1.86 (![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))))),
% 1.69/1.86 inference(modus_ponens,[status(thm)],[23, 13])).
% 1.69/1.86 tff(25,plain,
% 1.69/1.86 (![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))),
% 1.69/1.86 inference(modus_ponens,[status(thm)],[24, 8])).
% 1.69/1.86 tff(26,plain,
% 1.69/1.86 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0) | (~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17)), tptp_fun_X97_14(X105!17), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X105!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X105!17), X18, tptp0))))))))))),
% 1.69/1.87 inference(quant_inst,[status(thm)],[])).
% 1.69/1.87 tff(27,plain,
% 1.69/1.87 (~((~(next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0) | (~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17)), tptp_fun_X97_14(X105!17), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X105!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X105!17), X18, tptp0)))))))))),
% 1.69/1.87 inference(unit_resolution,[status(thm)],[26, 25])).
% 1.69/1.87 tff(28,plain,
% 1.69/1.87 (((~(next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0) | (~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17)), tptp_fun_X97_14(X105!17), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X105!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X105!17), X18, tptp0))))))))) | ((~next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X105!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X105!17), X18, tptp0)))))))),
% 1.69/1.87 inference(tautology,[status(thm)],[])).
% 1.69/1.87 tff(29,plain,
% 1.69/1.87 ((~next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X105!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X105!17), X18, tptp0))))))),
% 1.69/1.87 inference(unit_resolution,[status(thm)],[28, 27])).
% 1.69/1.87 tff(30,plain,
% 1.69/1.87 (?[X105: $i] : occurrence_of(X105, tptp0) <=> ?[X105: $i] : occurrence_of(X105, tptp0)),
% 1.69/1.87 inference(rewrite,[status(thm)],[])).
% 1.69/1.87 tff(31,plain,
% 1.69/1.87 ((~(~?[X105: $i] : occurrence_of(X105, tptp0))) <=> ?[X105: $i] : occurrence_of(X105, tptp0)),
% 1.69/1.87 inference(rewrite,[status(thm)],[])).
% 1.69/1.87 tff(32,plain,
% 1.69/1.87 ((~?[X105: $i] : occurrence_of(X105, tptp0)) <=> (~?[X105: $i] : occurrence_of(X105, tptp0))),
% 1.69/1.87 inference(rewrite,[status(thm)],[])).
% 1.69/1.87 tff(33,plain,
% 1.69/1.87 ((~(~?[X105: $i] : occurrence_of(X105, tptp0))) <=> (~(~?[X105: $i] : occurrence_of(X105, tptp0)))),
% 1.69/1.87 inference(monotonicity,[status(thm)],[32])).
% 1.69/1.87 tff(34,plain,
% 1.69/1.87 ((~(~?[X105: $i] : occurrence_of(X105, tptp0))) <=> ?[X105: $i] : occurrence_of(X105, tptp0)),
% 1.69/1.87 inference(transitivity,[status(thm)],[33, 31])).
% 1.69/1.87 tff(35,axiom,(~(~?[X105: $i] : occurrence_of(X105, tptp0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','goals')).
% 1.69/1.87 tff(36,plain,
% 1.69/1.87 (?[X105: $i] : occurrence_of(X105, tptp0)),
% 1.69/1.87 inference(modus_ponens,[status(thm)],[35, 34])).
% 1.69/1.87 tff(37,plain,
% 1.69/1.87 (?[X105: $i] : occurrence_of(X105, tptp0)),
% 1.69/1.87 inference(modus_ponens,[status(thm)],[36, 30])).
% 1.69/1.87 tff(38,plain,(
% 1.69/1.87 occurrence_of(X105!17, tptp0)),
% 1.69/1.87 inference(skolemize,[status(sab)],[37])).
% 1.69/1.87 tff(39,plain,
% 1.69/1.87 (^[X95: $i] : refl(((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0))))) <=> ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0))))))),
% 1.69/1.87 inference(bind,[status(th)],[])).
% 1.69/1.87 tff(40,plain,
% 1.69/1.87 (![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0))))) <=> ![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))),
% 1.69/1.87 inference(quant_intro,[status(thm)],[39])).
% 1.69/1.87 tff(41,plain,
% 1.69/1.87 (^[X95: $i] : rewrite(((~occurrence_of(X95, tptp0)) | (occurrence_of(tptp_fun_X96_15(X95), tptp4) & root_occ(tptp_fun_X96_15(X95), X95) & occurrence_of(tptp_fun_X97_14(X95), tptp3) & leaf_occ(tptp_fun_X97_14(X95), X95) & next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0))) <=> ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0))))))),
% 1.69/1.87 inference(bind,[status(th)],[])).
% 1.69/1.87 tff(42,plain,
% 1.69/1.87 (![X95: $i] : ((~occurrence_of(X95, tptp0)) | (occurrence_of(tptp_fun_X96_15(X95), tptp4) & root_occ(tptp_fun_X96_15(X95), X95) & occurrence_of(tptp_fun_X97_14(X95), tptp3) & leaf_occ(tptp_fun_X97_14(X95), X95) & next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0))) <=> ![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))),
% 1.69/1.87 inference(quant_intro,[status(thm)],[41])).
% 1.69/1.87 tff(43,plain,
% 1.69/1.87 (![X95: $i] : ((~occurrence_of(X95, tptp0)) | ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0))) <=> ![X95: $i] : ((~occurrence_of(X95, tptp0)) | ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0)))),
% 1.69/1.87 inference(rewrite,[status(thm)],[])).
% 1.69/1.87 tff(44,plain,
% 1.69/1.87 (^[X95: $i] : trans(monotonicity(quant_intro(proof_bind(^[X96: $i, X97: $i] : trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & occurrence_of(X97, tptp3)) <=> (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3))), ((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & occurrence_of(X97, tptp3)) & leaf_occ(X97, X95)) <=> ((occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3)) & leaf_occ(X97, X95)))), rewrite(((occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3)) & leaf_occ(X97, X95)) <=> (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95))), ((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & occurrence_of(X97, tptp3)) & leaf_occ(X97, X95)) <=> (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95)))), (((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & occurrence_of(X97, tptp3)) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0)) <=> ((occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0)))), rewrite(((occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0)) <=> (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0))), (((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & occurrence_of(X97, tptp3)) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0)) <=> (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0))))), (?[X96: $i, X97: $i] : ((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & occurrence_of(X97, tptp3)) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0)) <=> ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0)))), ((occurrence_of(X95, tptp0) => ?[X96: $i, X97: $i] : ((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & occurrence_of(X97, tptp3)) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0))) <=> (occurrence_of(X95, tptp0) => ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0))))), rewrite((occurrence_of(X95, tptp0) => ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0))) <=> ((~occurrence_of(X95, tptp0)) | ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0)))), ((occurrence_of(X95, tptp0) => ?[X96: $i, X97: $i] : ((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & occurrence_of(X97, tptp3)) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0))) <=> ((~occurrence_of(X95, tptp0)) | ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0)))))),
% 1.69/1.87 inference(bind,[status(th)],[])).
% 1.69/1.87 tff(45,plain,
% 1.69/1.87 (![X95: $i] : (occurrence_of(X95, tptp0) => ?[X96: $i, X97: $i] : ((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & occurrence_of(X97, tptp3)) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0))) <=> ![X95: $i] : ((~occurrence_of(X95, tptp0)) | ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0)))),
% 1.69/1.87 inference(quant_intro,[status(thm)],[44])).
% 1.69/1.87 tff(46,axiom,(![X95: $i] : (occurrence_of(X95, tptp0) => ?[X96: $i, X97: $i] : ((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & occurrence_of(X97, tptp3)) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_32')).
% 1.69/1.87 tff(47,plain,
% 1.69/1.87 (![X95: $i] : ((~occurrence_of(X95, tptp0)) | ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0)))),
% 1.69/1.87 inference(modus_ponens,[status(thm)],[46, 45])).
% 1.69/1.87 tff(48,plain,
% 1.69/1.87 (![X95: $i] : ((~occurrence_of(X95, tptp0)) | ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0)))),
% 1.69/1.87 inference(modus_ponens,[status(thm)],[47, 43])).
% 1.69/1.87 tff(49,plain,(
% 1.69/1.87 ![X95: $i] : ((~occurrence_of(X95, tptp0)) | (occurrence_of(tptp_fun_X96_15(X95), tptp4) & root_occ(tptp_fun_X96_15(X95), X95) & occurrence_of(tptp_fun_X97_14(X95), tptp3) & leaf_occ(tptp_fun_X97_14(X95), X95) & next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))),
% 1.69/1.87 inference(skolemize,[status(sab)],[48])).
% 1.69/1.87 tff(50,plain,
% 1.69/1.87 (![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))),
% 1.69/1.87 inference(modus_ponens,[status(thm)],[49, 42])).
% 1.69/1.87 tff(51,plain,
% 1.69/1.87 (![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))),
% 1.69/1.87 inference(modus_ponens,[status(thm)],[50, 40])).
% 1.69/1.87 tff(52,plain,
% 1.69/1.87 (((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(X105!17, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X105!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X105!17), X105!17)) | (~occurrence_of(tptp_fun_X97_14(X105!17), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X105!17), X105!17)) | (~next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)))))) <=> ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(X105!17, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X105!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X105!17), X105!17)) | (~occurrence_of(tptp_fun_X97_14(X105!17), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X105!17), X105!17)) | (~next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)))))),
% 1.69/1.87 inference(rewrite,[status(thm)],[])).
% 1.69/1.87 tff(53,plain,
% 1.69/1.87 ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(X105!17, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X105!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X105!17), X105!17)) | (~occurrence_of(tptp_fun_X97_14(X105!17), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X105!17), X105!17)) | (~next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)))))),
% 1.69/1.87 inference(quant_inst,[status(thm)],[])).
% 1.69/1.87 tff(54,plain,
% 1.69/1.87 ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(X105!17, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X105!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X105!17), X105!17)) | (~occurrence_of(tptp_fun_X97_14(X105!17), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X105!17), X105!17)) | (~next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0))))),
% 1.69/1.87 inference(modus_ponens,[status(thm)],[53, 52])).
% 1.69/1.87 tff(55,plain,
% 1.69/1.87 (~((~occurrence_of(tptp_fun_X96_15(X105!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X105!17), X105!17)) | (~occurrence_of(tptp_fun_X97_14(X105!17), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X105!17), X105!17)) | (~next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)))),
% 1.69/1.87 inference(unit_resolution,[status(thm)],[54, 51, 38])).
% 1.69/1.87 tff(56,plain,
% 1.69/1.87 (((~occurrence_of(tptp_fun_X96_15(X105!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X105!17), X105!17)) | (~occurrence_of(tptp_fun_X97_14(X105!17), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X105!17), X105!17)) | (~next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0))) | next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)),
% 1.69/1.87 inference(tautology,[status(thm)],[])).
% 1.69/1.87 tff(57,plain,
% 1.69/1.87 (next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)),
% 1.69/1.87 inference(unit_resolution,[status(thm)],[56, 55])).
% 1.69/1.87 tff(58,plain,
% 1.69/1.87 ((~((~next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X105!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X105!17), X18, tptp0)))))))) | (~next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X105!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X105!17), X18, tptp0))))))),
% 1.69/1.87 inference(tautology,[status(thm)],[])).
% 1.69/1.87 tff(59,plain,
% 1.69/1.87 ((~((~next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X105!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X105!17), X18, tptp0)))))))) | (~((~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X105!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X105!17), X18, tptp0))))))),
% 1.69/1.87 inference(unit_resolution,[status(thm)],[58, 57])).
% 1.69/1.87 tff(60,plain,
% 1.69/1.87 (~((~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X105!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X105!17), X18, tptp0)))))),
% 1.69/1.87 inference(unit_resolution,[status(thm)],[59, 29])).
% 1.69/1.87 tff(61,plain,
% 1.69/1.87 (((~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X105!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X105!17), X18, tptp0))))) | min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)),
% 1.69/1.87 inference(tautology,[status(thm)],[])).
% 1.69/1.87 tff(62,plain,
% 1.69/1.87 (min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)),
% 1.69/1.87 inference(unit_resolution,[status(thm)],[61, 60])).
% 1.69/1.87 tff(63,plain,
% 1.69/1.87 (^[X70: $i, X71: $i, X72: $i] : refl(((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70)))))) <=> ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70)))))))),
% 1.69/1.87 inference(bind,[status(th)],[])).
% 1.69/1.87 tff(64,plain,
% 1.69/1.87 (![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70)))))) <=> ![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))),
% 1.69/1.87 inference(quant_intro,[status(thm)],[63])).
% 1.69/1.87 tff(65,plain,
% 1.69/1.87 (^[X70: $i, X71: $i, X72: $i] : rewrite(((~min_precedes(X71, X72, X70)) | (occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70) & subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70)) & subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70)))) <=> ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70)))))))),
% 1.69/1.87 inference(bind,[status(th)],[])).
% 1.69/1.87 tff(66,plain,
% 1.69/1.87 (![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70) & subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70)) & subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70)))) <=> ![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))),
% 1.69/1.87 inference(quant_intro,[status(thm)],[65])).
% 1.69/1.87 tff(67,plain,
% 1.69/1.87 (![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73))) <=> ![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73)))),
% 1.69/1.87 inference(rewrite,[status(thm)],[])).
% 1.69/1.87 tff(68,plain,
% 1.69/1.87 (^[X70: $i, X71: $i, X72: $i] : trans(monotonicity(quant_intro(proof_bind(^[X73: $i] : rewrite(((occurrence_of(X73, X70) & subactivity_occurrence(X71, X73)) & subactivity_occurrence(X72, X73)) <=> (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73)))), (?[X73: $i] : ((occurrence_of(X73, X70) & subactivity_occurrence(X71, X73)) & subactivity_occurrence(X72, X73)) <=> ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73)))), ((min_precedes(X71, X72, X70) => ?[X73: $i] : ((occurrence_of(X73, X70) & subactivity_occurrence(X71, X73)) & subactivity_occurrence(X72, X73))) <=> (min_precedes(X71, X72, X70) => ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73))))), rewrite((min_precedes(X71, X72, X70) => ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73))) <=> ((~min_precedes(X71, X72, X70)) | ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73)))), ((min_precedes(X71, X72, X70) => ?[X73: $i] : ((occurrence_of(X73, X70) & subactivity_occurrence(X71, X73)) & subactivity_occurrence(X72, X73))) <=> ((~min_precedes(X71, X72, X70)) | ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73)))))),
% 1.69/1.87 inference(bind,[status(th)],[])).
% 1.69/1.87 tff(69,plain,
% 1.69/1.87 (![X70: $i, X71: $i, X72: $i] : (min_precedes(X71, X72, X70) => ?[X73: $i] : ((occurrence_of(X73, X70) & subactivity_occurrence(X71, X73)) & subactivity_occurrence(X72, X73))) <=> ![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73)))),
% 1.69/1.87 inference(quant_intro,[status(thm)],[68])).
% 1.69/1.87 tff(70,axiom,(![X70: $i, X71: $i, X72: $i] : (min_precedes(X71, X72, X70) => ?[X73: $i] : ((occurrence_of(X73, X70) & subactivity_occurrence(X71, X73)) & subactivity_occurrence(X72, X73)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_24')).
% 1.69/1.87 tff(71,plain,
% 1.69/1.87 (![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73)))),
% 1.69/1.87 inference(modus_ponens,[status(thm)],[70, 69])).
% 1.69/1.87 tff(72,plain,
% 1.69/1.87 (![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73)))),
% 1.69/1.87 inference(modus_ponens,[status(thm)],[71, 67])).
% 1.69/1.87 tff(73,plain,(
% 1.69/1.87 ![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70) & subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70)) & subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))),
% 1.69/1.87 inference(skolemize,[status(sab)],[72])).
% 1.69/1.87 tff(74,plain,
% 1.69/1.87 (![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))),
% 1.69/1.87 inference(modus_ponens,[status(thm)],[73, 66])).
% 1.69/1.87 tff(75,plain,
% 1.69/1.87 (![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))),
% 1.69/1.87 inference(modus_ponens,[status(thm)],[74, 64])).
% 1.69/1.87 tff(76,plain,
% 1.69/1.87 (((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | ((~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X105!17), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X105!17), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))))))) <=> ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | (~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X105!17), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X105!17), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))))))),
% 1.69/1.87 inference(rewrite,[status(thm)],[])).
% 1.69/1.87 tff(77,plain,
% 1.69/1.87 ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | ((~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X105!17), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X105!17), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))))))),
% 1.69/1.87 inference(quant_inst,[status(thm)],[])).
% 1.69/1.87 tff(78,plain,
% 1.69/1.87 ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | (~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X105!17), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X105!17), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)))))),
% 1.69/1.87 inference(modus_ponens,[status(thm)],[77, 76])).
% 1.69/1.87 tff(79,plain,
% 1.69/1.87 (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X105!17), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X105!17), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))))),
% 1.69/1.87 inference(unit_resolution,[status(thm)],[78, 75, 62])).
% 1.69/1.87 tff(80,plain,
% 1.69/1.87 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X105!17), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X105!17), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)))) | occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)),
% 1.69/1.87 inference(tautology,[status(thm)],[])).
% 1.69/1.87 tff(81,plain,
% 1.69/1.87 (occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)),
% 1.69/1.87 inference(unit_resolution,[status(thm)],[80, 79])).
% 1.69/1.87 tff(82,plain,
% 1.69/1.87 (^[X64: $i, X65: $i, X66: $i] : refl(((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))) <=> ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))))),
% 1.69/1.87 inference(bind,[status(th)],[])).
% 1.69/1.87 tff(83,plain,
% 1.69/1.87 (![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))) <=> ![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))),
% 1.69/1.87 inference(quant_intro,[status(thm)],[82])).
% 1.69/1.87 tff(84,plain,
% 1.69/1.87 (^[X64: $i, X65: $i, X66: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X64, X65) & occurrence_of(X64, X66)) <=> (~((~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))))), ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) <=> (~(~((~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))))))), rewrite((~(~((~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))))) <=> ((~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))), ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) <=> ((~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))))), (((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66)) <=> (((~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))) | (X65 = X66)))), rewrite((((~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))) | (X65 = X66)) <=> ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))), (((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66)) <=> ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))))),
% 1.69/1.87 inference(bind,[status(th)],[])).
% 1.69/1.87 tff(85,plain,
% 1.69/1.87 (![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66)) <=> ![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))),
% 1.69/1.87 inference(quant_intro,[status(thm)],[84])).
% 1.69/1.87 tff(86,plain,
% 1.69/1.87 (![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66)) <=> ![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 1.69/1.87 inference(rewrite,[status(thm)],[])).
% 1.69/1.87 tff(87,plain,
% 1.69/1.87 (^[X64: $i, X65: $i, X66: $i] : rewrite(((occurrence_of(X64, X65) & occurrence_of(X64, X66)) => (X65 = X66)) <=> ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66)))),
% 1.69/1.87 inference(bind,[status(th)],[])).
% 1.69/1.87 tff(88,plain,
% 1.69/1.87 (![X64: $i, X65: $i, X66: $i] : ((occurrence_of(X64, X65) & occurrence_of(X64, X66)) => (X65 = X66)) <=> ![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 1.69/1.87 inference(quant_intro,[status(thm)],[87])).
% 1.69/1.87 tff(89,axiom,(![X64: $i, X65: $i, X66: $i] : ((occurrence_of(X64, X65) & occurrence_of(X64, X66)) => (X65 = X66))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_22')).
% 1.69/1.87 tff(90,plain,
% 1.69/1.87 (![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 1.69/1.87 inference(modus_ponens,[status(thm)],[89, 88])).
% 1.69/1.87 tff(91,plain,
% 1.69/1.87 (![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 1.69/1.87 inference(modus_ponens,[status(thm)],[90, 86])).
% 1.69/1.87 tff(92,plain,(
% 1.69/1.87 ![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 1.69/1.87 inference(skolemize,[status(sab)],[91])).
% 1.69/1.87 tff(93,plain,
% 1.69/1.87 (![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))),
% 1.69/1.87 inference(modus_ponens,[status(thm)],[92, 85])).
% 1.69/1.87 tff(94,plain,
% 1.69/1.87 (![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))),
% 1.69/1.87 inference(modus_ponens,[status(thm)],[93, 83])).
% 1.69/1.87 tff(95,plain,
% 1.69/1.87 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) = tptp0))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) = tptp0))),
% 1.69/1.87 inference(rewrite,[status(thm)],[])).
% 1.69/1.87 tff(96,plain,
% 1.69/1.87 (((tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) = tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) = tptp0))),
% 1.69/1.87 inference(rewrite,[status(thm)],[])).
% 1.69/1.87 tff(97,plain,
% 1.69/1.87 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) = tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) = tptp0)))),
% 1.69/1.87 inference(monotonicity,[status(thm)],[96])).
% 1.69/1.87 tff(98,plain,
% 1.69/1.87 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) = tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) = tptp0))),
% 1.69/1.87 inference(transitivity,[status(thm)],[97, 95])).
% 1.69/1.87 tff(99,plain,
% 1.69/1.87 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) = tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))),
% 1.69/1.87 inference(quant_inst,[status(thm)],[])).
% 1.69/1.87 tff(100,plain,
% 1.69/1.87 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) = tptp0)),
% 1.69/1.87 inference(modus_ponens,[status(thm)],[99, 98])).
% 1.69/1.87 tff(101,plain,
% 1.69/1.87 (tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) = tptp0),
% 1.69/1.87 inference(unit_resolution,[status(thm)],[100, 94, 81, 6])).
% 1.69/1.87 tff(102,plain,
% 1.69/1.87 (tptp0 = tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))),
% 1.69/1.87 inference(symmetry,[status(thm)],[101])).
% 1.69/1.87 tff(103,plain,
% 1.69/1.87 (occurrence_of(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0) <=> occurrence_of(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))),
% 1.69/1.88 inference(monotonicity,[status(thm)],[102])).
% 1.69/1.88 tff(104,plain,
% 1.69/1.88 (occurrence_of(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) <=> occurrence_of(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)),
% 1.69/1.88 inference(symmetry,[status(thm)],[103])).
% 1.69/1.88 tff(105,plain,
% 1.69/1.88 (^[X40: $i, X41: $i] : refl(((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))) <=> ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))))),
% 1.69/1.88 inference(bind,[status(th)],[])).
% 1.69/1.88 tff(106,plain,
% 1.69/1.88 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))) <=> ![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 1.69/1.88 inference(quant_intro,[status(thm)],[105])).
% 1.69/1.88 tff(107,plain,
% 1.69/1.88 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))) <=> ![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 1.69/1.88 inference(rewrite,[status(thm)],[])).
% 1.69/1.88 tff(108,plain,
% 1.69/1.88 (^[X40: $i, X41: $i] : rewrite((occurrence_of(X40, X41) => (arboreal(X40) <=> atomic(X41))) <=> ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))))),
% 1.69/1.88 inference(bind,[status(th)],[])).
% 1.69/1.88 tff(109,plain,
% 1.69/1.88 (![X40: $i, X41: $i] : (occurrence_of(X40, X41) => (arboreal(X40) <=> atomic(X41))) <=> ![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 1.69/1.88 inference(quant_intro,[status(thm)],[108])).
% 1.69/1.88 tff(110,axiom,(![X40: $i, X41: $i] : (occurrence_of(X40, X41) => (arboreal(X40) <=> atomic(X41)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_13')).
% 1.69/1.88 tff(111,plain,
% 1.69/1.88 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 1.69/1.88 inference(modus_ponens,[status(thm)],[110, 109])).
% 1.69/1.88 tff(112,plain,
% 1.69/1.88 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 1.69/1.88 inference(modus_ponens,[status(thm)],[111, 107])).
% 1.69/1.88 tff(113,plain,(
% 1.69/1.88 ![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 1.69/1.88 inference(skolemize,[status(sab)],[112])).
% 1.69/1.88 tff(114,plain,
% 1.69/1.88 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 1.69/1.88 inference(modus_ponens,[status(thm)],[113, 106])).
% 1.69/1.88 tff(115,plain,
% 1.69/1.88 (((~![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (arboreal(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) <=> atomic(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))) <=> ((~![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (arboreal(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) <=> atomic(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))),
% 1.69/1.88 inference(rewrite,[status(thm)],[])).
% 1.69/1.88 tff(116,plain,
% 1.69/1.88 ((~![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (arboreal(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) <=> atomic(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))),
% 1.69/1.88 inference(quant_inst,[status(thm)],[])).
% 1.69/1.88 tff(117,plain,
% 1.69/1.88 ((~![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (arboreal(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) <=> atomic(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))))),
% 1.69/1.88 inference(modus_ponens,[status(thm)],[116, 115])).
% 1.69/1.88 tff(118,plain,
% 1.69/1.88 (arboreal(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) <=> atomic(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))),
% 1.69/1.88 inference(unit_resolution,[status(thm)],[117, 114, 6])).
% 1.69/1.88 tff(119,plain,
% 1.69/1.88 (((~![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (arboreal(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) <=> atomic(tptp0)))) <=> ((~![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (arboreal(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) <=> atomic(tptp0)))),
% 1.69/1.88 inference(rewrite,[status(thm)],[])).
% 1.69/1.88 tff(120,plain,
% 1.69/1.88 ((~![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (arboreal(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) <=> atomic(tptp0)))),
% 1.69/1.88 inference(quant_inst,[status(thm)],[])).
% 1.69/1.88 tff(121,plain,
% 1.69/1.88 ((~![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (arboreal(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) <=> atomic(tptp0))),
% 1.69/1.88 inference(modus_ponens,[status(thm)],[120, 119])).
% 1.69/1.88 tff(122,plain,
% 1.69/1.88 (arboreal(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) <=> atomic(tptp0)),
% 1.69/1.88 inference(unit_resolution,[status(thm)],[121, 114, 81])).
% 1.69/1.88 tff(123,plain,
% 1.69/1.88 ((~atomic(tptp0)) <=> (~atomic(tptp0))),
% 1.69/1.88 inference(rewrite,[status(thm)],[])).
% 1.69/1.88 tff(124,axiom,(~atomic(tptp0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_34')).
% 1.69/1.88 tff(125,plain,
% 1.69/1.88 (~atomic(tptp0)),
% 1.69/1.88 inference(modus_ponens,[status(thm)],[124, 123])).
% 1.69/1.88 tff(126,plain,
% 1.69/1.88 ((~(arboreal(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) <=> atomic(tptp0))) | (~arboreal(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | atomic(tptp0)),
% 1.69/1.88 inference(tautology,[status(thm)],[])).
% 1.69/1.88 tff(127,plain,
% 1.69/1.88 ((~(arboreal(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) <=> atomic(tptp0))) | (~arboreal(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)))),
% 1.69/1.88 inference(unit_resolution,[status(thm)],[126, 125])).
% 1.69/1.88 tff(128,plain,
% 1.69/1.88 (~arboreal(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))),
% 1.69/1.88 inference(unit_resolution,[status(thm)],[127, 122])).
% 1.69/1.88 tff(129,plain,
% 1.69/1.88 ((~(arboreal(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) <=> atomic(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))))) | arboreal(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | (~atomic(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))))),
% 1.69/1.88 inference(tautology,[status(thm)],[])).
% 1.69/1.88 tff(130,plain,
% 1.69/1.88 ((~(arboreal(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) <=> atomic(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))))) | (~atomic(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))))),
% 1.69/1.88 inference(unit_resolution,[status(thm)],[129, 128])).
% 1.69/1.88 tff(131,plain,
% 1.69/1.88 (~atomic(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))),
% 1.69/1.88 inference(unit_resolution,[status(thm)],[130, 118])).
% 1.69/1.88 tff(132,plain,
% 1.69/1.88 (((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))))) | leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))),
% 1.69/1.88 inference(tautology,[status(thm)],[])).
% 1.69/1.88 tff(133,plain,
% 1.69/1.88 (leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))),
% 1.69/1.88 inference(unit_resolution,[status(thm)],[132, 4])).
% 1.69/1.88 tff(134,plain,
% 1.69/1.88 (^[X74: $i, X75: $i] : refl((atomic(X75) | (~leaf(X74, X75)) | (~((~occurrence_of(tptp_fun_X76_9(X75, X74), X75)) | (~leaf_occ(X74, tptp_fun_X76_9(X75, X74)))))) <=> (atomic(X75) | (~leaf(X74, X75)) | (~((~occurrence_of(tptp_fun_X76_9(X75, X74), X75)) | (~leaf_occ(X74, tptp_fun_X76_9(X75, X74)))))))),
% 1.69/1.88 inference(bind,[status(th)],[])).
% 1.69/1.88 tff(135,plain,
% 1.69/1.88 (![X74: $i, X75: $i] : (atomic(X75) | (~leaf(X74, X75)) | (~((~occurrence_of(tptp_fun_X76_9(X75, X74), X75)) | (~leaf_occ(X74, tptp_fun_X76_9(X75, X74)))))) <=> ![X74: $i, X75: $i] : (atomic(X75) | (~leaf(X74, X75)) | (~((~occurrence_of(tptp_fun_X76_9(X75, X74), X75)) | (~leaf_occ(X74, tptp_fun_X76_9(X75, X74))))))),
% 1.69/1.88 inference(quant_intro,[status(thm)],[134])).
% 1.69/1.88 tff(136,plain,
% 1.69/1.88 (^[X74: $i, X75: $i] : trans(monotonicity(trans(monotonicity(rewrite((leaf(X74, X75) & (~atomic(X75))) <=> (~(atomic(X75) | (~leaf(X74, X75))))), ((~(leaf(X74, X75) & (~atomic(X75)))) <=> (~(~(atomic(X75) | (~leaf(X74, X75))))))), rewrite((~(~(atomic(X75) | (~leaf(X74, X75))))) <=> (atomic(X75) | (~leaf(X74, X75)))), ((~(leaf(X74, X75) & (~atomic(X75)))) <=> (atomic(X75) | (~leaf(X74, X75))))), rewrite((occurrence_of(tptp_fun_X76_9(X75, X74), X75) & leaf_occ(X74, tptp_fun_X76_9(X75, X74))) <=> (~((~occurrence_of(tptp_fun_X76_9(X75, X74), X75)) | (~leaf_occ(X74, tptp_fun_X76_9(X75, X74)))))), (((~(leaf(X74, X75) & (~atomic(X75)))) | (occurrence_of(tptp_fun_X76_9(X75, X74), X75) & leaf_occ(X74, tptp_fun_X76_9(X75, X74)))) <=> ((atomic(X75) | (~leaf(X74, X75))) | (~((~occurrence_of(tptp_fun_X76_9(X75, X74), X75)) | (~leaf_occ(X74, tptp_fun_X76_9(X75, X74)))))))), rewrite(((atomic(X75) | (~leaf(X74, X75))) | (~((~occurrence_of(tptp_fun_X76_9(X75, X74), X75)) | (~leaf_occ(X74, tptp_fun_X76_9(X75, X74)))))) <=> (atomic(X75) | (~leaf(X74, X75)) | (~((~occurrence_of(tptp_fun_X76_9(X75, X74), X75)) | (~leaf_occ(X74, tptp_fun_X76_9(X75, X74))))))), (((~(leaf(X74, X75) & (~atomic(X75)))) | (occurrence_of(tptp_fun_X76_9(X75, X74), X75) & leaf_occ(X74, tptp_fun_X76_9(X75, X74)))) <=> (atomic(X75) | (~leaf(X74, X75)) | (~((~occurrence_of(tptp_fun_X76_9(X75, X74), X75)) | (~leaf_occ(X74, tptp_fun_X76_9(X75, X74))))))))),
% 1.69/1.88 inference(bind,[status(th)],[])).
% 1.69/1.88 tff(137,plain,
% 1.69/1.88 (![X74: $i, X75: $i] : ((~(leaf(X74, X75) & (~atomic(X75)))) | (occurrence_of(tptp_fun_X76_9(X75, X74), X75) & leaf_occ(X74, tptp_fun_X76_9(X75, X74)))) <=> ![X74: $i, X75: $i] : (atomic(X75) | (~leaf(X74, X75)) | (~((~occurrence_of(tptp_fun_X76_9(X75, X74), X75)) | (~leaf_occ(X74, tptp_fun_X76_9(X75, X74))))))),
% 1.69/1.88 inference(quant_intro,[status(thm)],[136])).
% 1.69/1.88 tff(138,plain,
% 1.69/1.88 (![X74: $i, X75: $i] : ((~(leaf(X74, X75) & (~atomic(X75)))) | ?[X76: $i] : (occurrence_of(X76, X75) & leaf_occ(X74, X76))) <=> ![X74: $i, X75: $i] : ((~(leaf(X74, X75) & (~atomic(X75)))) | ?[X76: $i] : (occurrence_of(X76, X75) & leaf_occ(X74, X76)))),
% 1.69/1.88 inference(rewrite,[status(thm)],[])).
% 1.69/1.88 tff(139,plain,
% 1.69/1.88 (^[X74: $i, X75: $i] : rewrite(((leaf(X74, X75) & (~atomic(X75))) => ?[X76: $i] : (occurrence_of(X76, X75) & leaf_occ(X74, X76))) <=> ((~(leaf(X74, X75) & (~atomic(X75)))) | ?[X76: $i] : (occurrence_of(X76, X75) & leaf_occ(X74, X76))))),
% 1.69/1.88 inference(bind,[status(th)],[])).
% 1.69/1.88 tff(140,plain,
% 1.69/1.88 (![X74: $i, X75: $i] : ((leaf(X74, X75) & (~atomic(X75))) => ?[X76: $i] : (occurrence_of(X76, X75) & leaf_occ(X74, X76))) <=> ![X74: $i, X75: $i] : ((~(leaf(X74, X75) & (~atomic(X75)))) | ?[X76: $i] : (occurrence_of(X76, X75) & leaf_occ(X74, X76)))),
% 1.69/1.88 inference(quant_intro,[status(thm)],[139])).
% 1.69/1.88 tff(141,axiom,(![X74: $i, X75: $i] : ((leaf(X74, X75) & (~atomic(X75))) => ?[X76: $i] : (occurrence_of(X76, X75) & leaf_occ(X74, X76)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_25')).
% 1.69/1.88 tff(142,plain,
% 1.69/1.88 (![X74: $i, X75: $i] : ((~(leaf(X74, X75) & (~atomic(X75)))) | ?[X76: $i] : (occurrence_of(X76, X75) & leaf_occ(X74, X76)))),
% 1.69/1.88 inference(modus_ponens,[status(thm)],[141, 140])).
% 1.69/1.88 tff(143,plain,
% 1.69/1.88 (![X74: $i, X75: $i] : ((~(leaf(X74, X75) & (~atomic(X75)))) | ?[X76: $i] : (occurrence_of(X76, X75) & leaf_occ(X74, X76)))),
% 1.69/1.88 inference(modus_ponens,[status(thm)],[142, 138])).
% 1.69/1.88 tff(144,plain,(
% 1.69/1.88 ![X74: $i, X75: $i] : ((~(leaf(X74, X75) & (~atomic(X75)))) | (occurrence_of(tptp_fun_X76_9(X75, X74), X75) & leaf_occ(X74, tptp_fun_X76_9(X75, X74))))),
% 1.69/1.88 inference(skolemize,[status(sab)],[143])).
% 1.69/1.88 tff(145,plain,
% 1.69/1.88 (![X74: $i, X75: $i] : (atomic(X75) | (~leaf(X74, X75)) | (~((~occurrence_of(tptp_fun_X76_9(X75, X74), X75)) | (~leaf_occ(X74, tptp_fun_X76_9(X75, X74))))))),
% 1.69/1.88 inference(modus_ponens,[status(thm)],[144, 137])).
% 1.69/1.88 tff(146,plain,
% 1.69/1.88 (![X74: $i, X75: $i] : (atomic(X75) | (~leaf(X74, X75)) | (~((~occurrence_of(tptp_fun_X76_9(X75, X74), X75)) | (~leaf_occ(X74, tptp_fun_X76_9(X75, X74))))))),
% 1.69/1.88 inference(modus_ponens,[status(thm)],[145, 135])).
% 1.69/1.88 tff(147,plain,
% 1.69/1.88 (((~![X74: $i, X75: $i] : (atomic(X75) | (~leaf(X74, X75)) | (~((~occurrence_of(tptp_fun_X76_9(X75, X74), X75)) | (~leaf_occ(X74, tptp_fun_X76_9(X75, X74))))))) | (atomic(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~((~occurrence_of(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))))) <=> ((~![X74: $i, X75: $i] : (atomic(X75) | (~leaf(X74, X75)) | (~((~occurrence_of(tptp_fun_X76_9(X75, X74), X75)) | (~leaf_occ(X74, tptp_fun_X76_9(X75, X74))))))) | atomic(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~((~occurrence_of(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))))),
% 1.69/1.88 inference(rewrite,[status(thm)],[])).
% 1.69/1.88 tff(148,plain,
% 1.69/1.88 ((~![X74: $i, X75: $i] : (atomic(X75) | (~leaf(X74, X75)) | (~((~occurrence_of(tptp_fun_X76_9(X75, X74), X75)) | (~leaf_occ(X74, tptp_fun_X76_9(X75, X74))))))) | (atomic(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~((~occurrence_of(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))))),
% 1.69/1.88 inference(quant_inst,[status(thm)],[])).
% 1.69/1.88 tff(149,plain,
% 1.69/1.88 ((~![X74: $i, X75: $i] : (atomic(X75) | (~leaf(X74, X75)) | (~((~occurrence_of(tptp_fun_X76_9(X75, X74), X75)) | (~leaf_occ(X74, tptp_fun_X76_9(X75, X74))))))) | atomic(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~((~occurrence_of(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))))))),
% 1.69/1.88 inference(modus_ponens,[status(thm)],[148, 147])).
% 1.69/1.88 tff(150,plain,
% 1.69/1.88 (atomic(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))))))),
% 1.69/1.88 inference(unit_resolution,[status(thm)],[149, 146, 133])).
% 1.69/1.88 tff(151,plain,
% 1.69/1.88 (~((~occurrence_of(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))),
% 1.69/1.88 inference(unit_resolution,[status(thm)],[150, 131])).
% 1.69/1.88 tff(152,plain,
% 1.69/1.88 (((~occurrence_of(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))))) | occurrence_of(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))),
% 1.69/1.88 inference(tautology,[status(thm)],[])).
% 1.69/1.88 tff(153,plain,
% 1.69/1.88 (occurrence_of(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))),
% 1.69/1.88 inference(unit_resolution,[status(thm)],[152, 151])).
% 1.69/1.88 tff(154,plain,
% 1.69/1.88 (occurrence_of(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)),
% 1.69/1.88 inference(modus_ponens,[status(thm)],[153, 104])).
% 1.69/1.88 tff(155,plain,
% 1.69/1.88 (((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)))))) <=> ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)))))),
% 1.69/1.88 inference(rewrite,[status(thm)],[])).
% 1.69/1.88 tff(156,plain,
% 1.69/1.88 ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)))))),
% 1.69/1.88 inference(quant_inst,[status(thm)],[])).
% 1.69/1.88 tff(157,plain,
% 1.69/1.88 ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0))))),
% 1.69/1.89 inference(modus_ponens,[status(thm)],[156, 155])).
% 1.69/1.89 tff(158,plain,
% 1.69/1.89 ((~occurrence_of(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0))))),
% 1.69/1.89 inference(unit_resolution,[status(thm)],[157, 51])).
% 1.69/1.89 tff(159,plain,
% 1.69/1.89 (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)))),
% 1.69/1.89 inference(unit_resolution,[status(thm)],[158, 154])).
% 1.69/1.89 tff(160,plain,
% 1.69/1.89 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0))) | leaf_occ(tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))),
% 1.69/1.89 inference(tautology,[status(thm)],[])).
% 1.69/1.89 tff(161,plain,
% 1.69/1.89 (leaf_occ(tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))),
% 1.69/1.89 inference(unit_resolution,[status(thm)],[160, 159])).
% 1.69/1.89 tff(162,plain,
% 1.69/1.89 (((~occurrence_of(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))))) | leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))),
% 1.69/1.89 inference(tautology,[status(thm)],[])).
% 1.69/1.89 tff(163,plain,
% 1.69/1.89 (leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))),
% 1.69/1.89 inference(unit_resolution,[status(thm)],[162, 151])).
% 1.69/1.89 tff(164,plain,
% 1.69/1.89 (^[X11: $i, X12: $i, X13: $i, X14: $i] : refl(((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))) <=> ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))))),
% 1.69/1.89 inference(bind,[status(th)],[])).
% 1.69/1.89 tff(165,plain,
% 1.69/1.89 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))) <=> ![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))),
% 1.69/1.89 inference(quant_intro,[status(thm)],[164])).
% 1.69/1.89 tff(166,plain,
% 1.69/1.89 (^[X11: $i, X12: $i, X13: $i, X14: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13)) <=> (~(atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))))), ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) <=> (~(~(atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))))))), rewrite((~(~(atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))))) <=> (atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))), ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) <=> (atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))))), (((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12)) <=> ((atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))) | (X11 = X12)))), rewrite(((atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))) | (X11 = X12)) <=> ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))), (((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12)) <=> ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))))),
% 1.69/1.89 inference(bind,[status(th)],[])).
% 1.69/1.89 tff(167,plain,
% 1.69/1.89 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12)) <=> ![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))),
% 1.69/1.89 inference(quant_intro,[status(thm)],[166])).
% 1.69/1.89 tff(168,plain,
% 1.69/1.89 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12)) <=> ![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 1.69/1.89 inference(rewrite,[status(thm)],[])).
% 1.69/1.89 tff(169,plain,
% 1.69/1.89 (^[X11: $i, X12: $i, X13: $i, X14: $i] : trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X13, X14) & (~atomic(X14))) & leaf_occ(X11, X13)) <=> (occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13))), ((((occurrence_of(X13, X14) & (~atomic(X14))) & leaf_occ(X11, X13)) & leaf_occ(X12, X13)) <=> ((occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13)) & leaf_occ(X12, X13)))), rewrite(((occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13)) & leaf_occ(X12, X13)) <=> (occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))), ((((occurrence_of(X13, X14) & (~atomic(X14))) & leaf_occ(X11, X13)) & leaf_occ(X12, X13)) <=> (occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13)))), (((((occurrence_of(X13, X14) & (~atomic(X14))) & leaf_occ(X11, X13)) & leaf_occ(X12, X13)) => (X11 = X12)) <=> ((occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13)) => (X11 = X12)))), rewrite(((occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13)) => (X11 = X12)) <=> ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))), (((((occurrence_of(X13, X14) & (~atomic(X14))) & leaf_occ(X11, X13)) & leaf_occ(X12, X13)) => (X11 = X12)) <=> ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))))),
% 1.69/1.89 inference(bind,[status(th)],[])).
% 1.69/1.89 tff(170,plain,
% 1.69/1.89 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((((occurrence_of(X13, X14) & (~atomic(X14))) & leaf_occ(X11, X13)) & leaf_occ(X12, X13)) => (X11 = X12)) <=> ![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 1.69/1.89 inference(quant_intro,[status(thm)],[169])).
% 1.69/1.89 tff(171,axiom,(![X11: $i, X12: $i, X13: $i, X14: $i] : ((((occurrence_of(X13, X14) & (~atomic(X14))) & leaf_occ(X11, X13)) & leaf_occ(X12, X13)) => (X11 = X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_03')).
% 1.69/1.89 tff(172,plain,
% 1.69/1.89 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 1.69/1.89 inference(modus_ponens,[status(thm)],[171, 170])).
% 1.69/1.89 tff(173,plain,
% 1.69/1.89 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 1.69/1.89 inference(modus_ponens,[status(thm)],[172, 168])).
% 1.69/1.89 tff(174,plain,(
% 1.69/1.89 ![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 1.69/1.89 inference(skolemize,[status(sab)],[173])).
% 1.69/1.89 tff(175,plain,
% 1.69/1.89 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))),
% 1.69/1.89 inference(modus_ponens,[status(thm)],[174, 167])).
% 1.69/1.89 tff(176,plain,
% 1.69/1.89 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))),
% 1.69/1.89 inference(modus_ponens,[status(thm)],[175, 165])).
% 1.69/1.89 tff(177,plain,
% 1.69/1.89 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | (atomic(tptp0) | (tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))) <=> ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))),
% 1.69/1.89 inference(rewrite,[status(thm)],[])).
% 1.69/1.89 tff(178,plain,
% 1.69/1.89 (((tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | atomic(tptp0) | (~occurrence_of(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))))) <=> (atomic(tptp0) | (tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))),
% 1.69/1.89 inference(rewrite,[status(thm)],[])).
% 1.69/1.89 tff(179,plain,
% 1.69/1.89 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | atomic(tptp0) | (~occurrence_of(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))) <=> ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | (atomic(tptp0) | (tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))))))),
% 1.69/1.89 inference(monotonicity,[status(thm)],[178])).
% 1.69/1.89 tff(180,plain,
% 1.69/1.89 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | atomic(tptp0) | (~occurrence_of(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))) <=> ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))),
% 1.69/1.89 inference(transitivity,[status(thm)],[179, 177])).
% 1.69/1.89 tff(181,plain,
% 1.69/1.89 ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | atomic(tptp0) | (~occurrence_of(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))),
% 1.69/1.89 inference(quant_inst,[status(thm)],[])).
% 1.69/1.89 tff(182,plain,
% 1.69/1.89 ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))))),
% 1.69/1.90 inference(modus_ponens,[status(thm)],[181, 180])).
% 1.69/1.90 tff(183,plain,
% 1.69/1.90 (tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)),
% 1.69/1.90 inference(unit_resolution,[status(thm)],[182, 176, 125, 163, 154, 161])).
% 1.69/1.90 tff(184,plain,
% 1.69/1.90 (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0) = tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))),
% 1.69/1.90 inference(symmetry,[status(thm)],[183])).
% 1.69/1.90 tff(185,plain,
% 1.69/1.90 (min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0) <=> min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)),
% 1.69/1.90 inference(monotonicity,[status(thm)],[184])).
% 1.69/1.90 tff(186,plain,
% 1.69/1.90 (min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0) <=> min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)),
% 1.69/1.90 inference(symmetry,[status(thm)],[185])).
% 1.69/1.90 tff(187,plain,
% 1.69/1.90 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)))) | next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), X18, tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)))) | next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), X18, tptp0)))))))))))),
% 1.69/1.90 inference(rewrite,[status(thm)],[])).
% 1.69/1.90 tff(188,plain,
% 1.69/1.90 ((~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), X18, tptp0)))))))))) <=> (~((~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)))) | next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), X18, tptp0))))))))))),
% 1.69/1.90 inference(rewrite,[status(thm)],[])).
% 1.69/1.90 tff(189,plain,
% 1.69/1.90 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), X18, tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)))) | next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), X18, tptp0)))))))))))),
% 1.69/1.91 inference(monotonicity,[status(thm)],[188])).
% 1.69/1.91 tff(190,plain,
% 1.69/1.91 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), X18, tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)))) | next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), X18, tptp0)))))))))))),
% 1.69/1.91 inference(transitivity,[status(thm)],[189, 187])).
% 1.69/1.91 tff(191,plain,
% 1.69/1.91 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), X18, tptp0))))))))))),
% 1.69/1.91 inference(quant_inst,[status(thm)],[])).
% 1.69/1.91 tff(192,plain,
% 1.69/1.91 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)))) | next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), X18, tptp0))))))))))),
% 1.69/1.91 inference(modus_ponens,[status(thm)],[191, 190])).
% 1.69/1.91 tff(193,plain,
% 1.69/1.91 (~((~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)))) | next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), X18, tptp0)))))))))),
% 1.69/1.91 inference(unit_resolution,[status(thm)],[192, 25])).
% 1.69/1.91 tff(194,plain,
% 1.69/1.91 (((~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)))) | next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), X18, tptp0))))))))) | ((~next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), X18, tptp0)))))))),
% 1.76/1.92 inference(tautology,[status(thm)],[])).
% 1.76/1.92 tff(195,plain,
% 1.76/1.92 ((~next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), X18, tptp0))))))),
% 1.76/1.92 inference(unit_resolution,[status(thm)],[194, 193])).
% 1.76/1.92 tff(196,plain,
% 1.76/1.92 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0))) | next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)),
% 1.76/1.92 inference(tautology,[status(thm)],[])).
% 1.76/1.92 tff(197,plain,
% 1.76/1.92 (next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)),
% 1.76/1.92 inference(unit_resolution,[status(thm)],[196, 159])).
% 1.76/1.92 tff(198,plain,
% 1.76/1.92 ((~((~next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), X18, tptp0)))))))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), X18, tptp0))))))),
% 1.76/1.92 inference(tautology,[status(thm)],[])).
% 1.76/1.92 tff(199,plain,
% 1.76/1.92 ((~((~next_subocc(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), X18, tptp0)))))))) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), X18, tptp0))))))),
% 1.76/1.92 inference(unit_resolution,[status(thm)],[198, 197])).
% 1.76/1.92 tff(200,plain,
% 1.76/1.92 (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), X18, tptp0)))))),
% 1.76/1.92 inference(unit_resolution,[status(thm)],[199, 195])).
% 1.76/1.92 tff(201,plain,
% 1.76/1.92 (((~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), X18, tptp0))))) | min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)),
% 1.76/1.92 inference(tautology,[status(thm)],[])).
% 1.76/1.92 tff(202,plain,
% 1.76/1.92 (min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp0)),
% 1.76/1.92 inference(unit_resolution,[status(thm)],[201, 200])).
% 1.76/1.92 tff(203,plain,
% 1.76/1.92 (min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)),
% 1.76/1.92 inference(modus_ponens,[status(thm)],[202, 186])).
% 1.76/1.92 tff(204,plain,
% 1.76/1.92 (^[X91: $i, X92: $i] : refl((atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))))) <=> (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))))))),
% 1.76/1.92 inference(bind,[status(th)],[])).
% 1.76/1.92 tff(205,plain,
% 1.76/1.92 (![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))))) <=> ![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))),
% 1.76/1.92 inference(quant_intro,[status(thm)],[204])).
% 1.76/1.92 tff(206,plain,
% 1.76/1.92 (^[X91: $i, X92: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X92, X91) & (~atomic(X91))) <=> (~(atomic(X91) | (~occurrence_of(X92, X91))))), ((~(occurrence_of(X92, X91) & (~atomic(X91)))) <=> (~(~(atomic(X91) | (~occurrence_of(X92, X91))))))), rewrite((~(~(atomic(X91) | (~occurrence_of(X92, X91))))) <=> (atomic(X91) | (~occurrence_of(X92, X91)))), ((~(occurrence_of(X92, X91) & (~atomic(X91)))) <=> (atomic(X91) | (~occurrence_of(X92, X91))))), rewrite((root(tptp_fun_X93_13(X92, X91), X91) & subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)) <=> (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))))), (((~(occurrence_of(X92, X91) & (~atomic(X91)))) | (root(tptp_fun_X93_13(X92, X91), X91) & subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))) <=> ((atomic(X91) | (~occurrence_of(X92, X91))) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))))))), rewrite(((atomic(X91) | (~occurrence_of(X92, X91))) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))))) <=> (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))), (((~(occurrence_of(X92, X91) & (~atomic(X91)))) | (root(tptp_fun_X93_13(X92, X91), X91) & subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))) <=> (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))))),
% 1.76/1.92 inference(bind,[status(th)],[])).
% 1.76/1.92 tff(207,plain,
% 1.76/1.92 (![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | (root(tptp_fun_X93_13(X92, X91), X91) & subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))) <=> ![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))),
% 1.76/1.92 inference(quant_intro,[status(thm)],[206])).
% 1.76/1.92 tff(208,plain,
% 1.76/1.92 (![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92))) <=> ![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92)))),
% 1.76/1.92 inference(rewrite,[status(thm)],[])).
% 1.76/1.92 tff(209,plain,
% 1.76/1.92 (^[X91: $i, X92: $i] : rewrite(((occurrence_of(X92, X91) & (~atomic(X91))) => ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92))) <=> ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92))))),
% 1.76/1.92 inference(bind,[status(th)],[])).
% 1.76/1.92 tff(210,plain,
% 1.76/1.92 (![X91: $i, X92: $i] : ((occurrence_of(X92, X91) & (~atomic(X91))) => ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92))) <=> ![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92)))),
% 1.76/1.92 inference(quant_intro,[status(thm)],[209])).
% 1.76/1.92 tff(211,axiom,(![X91: $i, X92: $i] : ((occurrence_of(X92, X91) & (~atomic(X91))) => ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_30')).
% 1.76/1.92 tff(212,plain,
% 1.76/1.92 (![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92)))),
% 1.76/1.92 inference(modus_ponens,[status(thm)],[211, 210])).
% 1.76/1.92 tff(213,plain,
% 1.76/1.92 (![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92)))),
% 1.76/1.92 inference(modus_ponens,[status(thm)],[212, 208])).
% 1.76/1.92 tff(214,plain,(
% 1.76/1.92 ![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | (root(tptp_fun_X93_13(X92, X91), X91) & subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))),
% 1.76/1.92 inference(skolemize,[status(sab)],[213])).
% 1.76/1.92 tff(215,plain,
% 1.76/1.92 (![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))),
% 1.76/1.92 inference(modus_ponens,[status(thm)],[214, 207])).
% 1.76/1.92 tff(216,plain,
% 1.76/1.92 (![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))),
% 1.76/1.92 inference(modus_ponens,[status(thm)],[215, 205])).
% 1.76/1.92 tff(217,plain,
% 1.76/1.92 (((~![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))) | (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))))))) <=> ((~![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))))))),
% 1.76/1.92 inference(rewrite,[status(thm)],[])).
% 1.76/1.92 tff(218,plain,
% 1.76/1.92 ((~![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))) | (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))))))),
% 1.76/1.92 inference(quant_inst,[status(thm)],[])).
% 1.76/1.92 tff(219,plain,
% 1.76/1.92 ((~![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)))))),
% 1.76/1.92 inference(modus_ponens,[status(thm)],[218, 217])).
% 1.76/1.92 tff(220,plain,
% 1.76/1.92 (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))))),
% 1.76/1.92 inference(unit_resolution,[status(thm)],[219, 216, 125, 81])).
% 1.76/1.92 tff(221,plain,
% 1.76/1.92 (((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)))) | root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)),
% 1.76/1.92 inference(tautology,[status(thm)],[])).
% 1.76/1.92 tff(222,plain,
% 1.76/1.92 (root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)),
% 1.76/1.92 inference(unit_resolution,[status(thm)],[221, 220])).
% 1.76/1.92 tff(223,plain,
% 1.76/1.92 (^[X25: $i, X26: $i, X27: $i] : refl(((~root(X26, X27)) | (~min_precedes(X25, X26, X27))) <=> ((~root(X26, X27)) | (~min_precedes(X25, X26, X27))))),
% 1.76/1.92 inference(bind,[status(th)],[])).
% 1.76/1.92 tff(224,plain,
% 1.76/1.92 (![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27))) <=> ![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 1.76/1.92 inference(quant_intro,[status(thm)],[223])).
% 1.76/1.92 tff(225,plain,
% 1.76/1.92 (![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27))) <=> ![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 1.76/1.92 inference(rewrite,[status(thm)],[])).
% 1.76/1.92 tff(226,plain,
% 1.76/1.92 (^[X25: $i, X26: $i, X27: $i] : rewrite((min_precedes(X25, X26, X27) => (~root(X26, X27))) <=> ((~root(X26, X27)) | (~min_precedes(X25, X26, X27))))),
% 1.76/1.92 inference(bind,[status(th)],[])).
% 1.76/1.92 tff(227,plain,
% 1.76/1.92 (![X25: $i, X26: $i, X27: $i] : (min_precedes(X25, X26, X27) => (~root(X26, X27))) <=> ![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 1.76/1.92 inference(quant_intro,[status(thm)],[226])).
% 1.76/1.92 tff(228,axiom,(![X25: $i, X26: $i, X27: $i] : (min_precedes(X25, X26, X27) => (~root(X26, X27)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_07')).
% 1.76/1.92 tff(229,plain,
% 1.76/1.92 (![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 1.76/1.92 inference(modus_ponens,[status(thm)],[228, 227])).
% 1.76/1.92 tff(230,plain,
% 1.76/1.92 (![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 1.76/1.92 inference(modus_ponens,[status(thm)],[229, 225])).
% 1.76/1.92 tff(231,plain,(
% 1.76/1.92 ![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 1.76/1.92 inference(skolemize,[status(sab)],[230])).
% 1.76/1.92 tff(232,plain,
% 1.76/1.92 (![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 1.76/1.92 inference(modus_ponens,[status(thm)],[231, 224])).
% 1.76/1.92 tff(233,plain,
% 1.76/1.92 (((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)))) <=> ((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)))),
% 1.76/1.92 inference(rewrite,[status(thm)],[])).
% 1.76/1.92 tff(234,plain,
% 1.76/1.92 ((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)))),
% 1.76/1.92 inference(quant_inst,[status(thm)],[])).
% 1.76/1.92 tff(235,plain,
% 1.76/1.92 ((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))),
% 1.76/1.92 inference(modus_ponens,[status(thm)],[234, 233])).
% 1.76/1.92 tff(236,plain,
% 1.76/1.92 (~min_precedes(tptp_fun_X96_15(tptp_fun_X76_9(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)),
% 1.76/1.92 inference(unit_resolution,[status(thm)],[235, 232, 222])).
% 1.76/1.92 tff(237,plain,
% 1.76/1.92 ($false),
% 1.76/1.92 inference(unit_resolution,[status(thm)],[236, 203])).
% 1.76/1.93 tff(238,plain,((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))))), inference(lemma,lemma(discharge,[]))).
% 1.76/1.93 tff(239,plain,
% 1.76/1.93 (^[X35: $i, X36: $i] : refl((~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))))) <=> (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))))))),
% 1.76/1.93 inference(bind,[status(th)],[])).
% 1.76/1.93 tff(240,plain,
% 1.76/1.93 (![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))))) <=> ![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))),
% 1.76/1.93 inference(quant_intro,[status(thm)],[239])).
% 1.76/1.93 tff(241,plain,
% 1.76/1.93 (^[X35: $i, X36: $i] : rewrite((~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))))) <=> (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))))))),
% 1.76/1.93 inference(bind,[status(th)],[])).
% 1.76/1.93 tff(242,plain,
% 1.76/1.93 (![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))))) <=> ![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))),
% 1.76/1.93 inference(quant_intro,[status(thm)],[241])).
% 1.76/1.93 tff(243,plain,
% 1.76/1.93 (![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))))) <=> ![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))),
% 1.76/1.93 inference(transitivity,[status(thm)],[242, 240])).
% 1.76/1.93 tff(244,plain,
% 1.76/1.93 (^[X35: $i, X36: $i] : trans(monotonicity(rewrite(((~leaf_occ(X35, X36)) | (occurrence_of(X36, tptp_fun_X37_2(X36, X35)) & subactivity_occurrence(X35, X36) & leaf(X35, tptp_fun_X37_2(X36, X35)))) <=> ((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))), rewrite((leaf_occ(X35, X36) | ![X37: $i] : (~(occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))) <=> (leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))), ((((~leaf_occ(X35, X36)) | (occurrence_of(X36, tptp_fun_X37_2(X36, X35)) & subactivity_occurrence(X35, X36) & leaf(X35, tptp_fun_X37_2(X36, X35)))) & (leaf_occ(X35, X36) | ![X37: $i] : (~(occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37))))) <=> (((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35)))))) & (leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))))), rewrite((((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35)))))) & (leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))) <=> (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))), ((((~leaf_occ(X35, X36)) | (occurrence_of(X36, tptp_fun_X37_2(X36, X35)) & subactivity_occurrence(X35, X36) & leaf(X35, tptp_fun_X37_2(X36, X35)))) & (leaf_occ(X35, X36) | ![X37: $i] : (~(occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37))))) <=> (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))))),
% 1.76/1.93 inference(bind,[status(th)],[])).
% 1.76/1.93 tff(245,plain,
% 1.76/1.93 (![X35: $i, X36: $i] : (((~leaf_occ(X35, X36)) | (occurrence_of(X36, tptp_fun_X37_2(X36, X35)) & subactivity_occurrence(X35, X36) & leaf(X35, tptp_fun_X37_2(X36, X35)))) & (leaf_occ(X35, X36) | ![X37: $i] : (~(occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37))))) <=> ![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))),
% 1.76/1.93 inference(quant_intro,[status(thm)],[244])).
% 1.76/1.93 tff(246,plain,
% 1.76/1.93 (![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37))) <=> ![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))),
% 1.76/1.93 inference(rewrite,[status(thm)],[])).
% 1.76/1.93 tff(247,plain,
% 1.76/1.93 (^[X35: $i, X36: $i] : rewrite((leaf_occ(X35, X36) <=> ?[X37: $i] : ((occurrence_of(X36, X37) & subactivity_occurrence(X35, X36)) & leaf(X35, X37))) <=> (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37))))),
% 1.76/1.93 inference(bind,[status(th)],[])).
% 1.76/1.93 tff(248,plain,
% 1.76/1.93 (![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : ((occurrence_of(X36, X37) & subactivity_occurrence(X35, X36)) & leaf(X35, X37))) <=> ![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))),
% 1.76/1.93 inference(quant_intro,[status(thm)],[247])).
% 1.76/1.93 tff(249,axiom,(![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : ((occurrence_of(X36, X37) & subactivity_occurrence(X35, X36)) & leaf(X35, X37)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_11')).
% 1.76/1.93 tff(250,plain,
% 1.76/1.93 (![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[249, 248])).
% 1.76/1.93 tff(251,plain,
% 1.76/1.93 (![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[250, 246])).
% 1.76/1.93 tff(252,plain,(
% 1.76/1.93 ![X35: $i, X36: $i] : (((~leaf_occ(X35, X36)) | (occurrence_of(X36, tptp_fun_X37_2(X36, X35)) & subactivity_occurrence(X35, X36) & leaf(X35, tptp_fun_X37_2(X36, X35)))) & (leaf_occ(X35, X36) | ![X37: $i] : (~(occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))))),
% 1.76/1.93 inference(skolemize,[status(sab)],[251])).
% 1.76/1.93 tff(253,plain,
% 1.76/1.93 (![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[252, 245])).
% 1.76/1.93 tff(254,plain,
% 1.76/1.93 (![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[253, 243])).
% 1.76/1.93 tff(255,plain,
% 1.76/1.93 (((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~((~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))))) | (~(leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), X37)) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), X37)))))))) <=> ((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~((~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))))) | (~(leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), X37)) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), X37))))))))),
% 1.76/1.93 inference(rewrite,[status(thm)],[])).
% 1.76/1.93 tff(256,plain,
% 1.76/1.93 ((~((~((~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))))) | (~(leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), X37))))))) <=> (~((~((~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))))) | (~(leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), X37)) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), X37)))))))),
% 1.76/1.93 inference(rewrite,[status(thm)],[])).
% 1.76/1.93 tff(257,plain,
% 1.76/1.93 (((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~((~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))))) | (~(leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), X37)))))))) <=> ((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~((~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))))) | (~(leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), X37)) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), X37))))))))),
% 1.76/1.93 inference(monotonicity,[status(thm)],[256])).
% 1.76/1.93 tff(258,plain,
% 1.76/1.93 (((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~((~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))))) | (~(leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), X37)))))))) <=> ((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~((~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))))) | (~(leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), X37)) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), X37))))))))),
% 1.76/1.93 inference(transitivity,[status(thm)],[257, 255])).
% 1.76/1.93 tff(259,plain,
% 1.76/1.93 ((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~((~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))))) | (~(leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), X37)))))))),
% 1.76/1.93 inference(quant_inst,[status(thm)],[])).
% 1.76/1.93 tff(260,plain,
% 1.76/1.93 ((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~((~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))))) | (~(leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), X37)) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), X37)))))))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[259, 258])).
% 1.76/1.93 tff(261,plain,
% 1.76/1.93 (~((~((~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))))) | (~(leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), X37)) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), X37))))))),
% 1.76/1.93 inference(unit_resolution,[status(thm)],[260, 254])).
% 1.76/1.93 tff(262,plain,
% 1.76/1.93 (((~((~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))))) | (~(leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), X37)) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), X37)))))) | ((~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))))),
% 1.76/1.93 inference(tautology,[status(thm)],[])).
% 1.76/1.93 tff(263,plain,
% 1.76/1.93 ((~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))))))),
% 1.76/1.93 inference(unit_resolution,[status(thm)],[262, 261])).
% 1.76/1.93 tff(264,plain,
% 1.76/1.93 ((~((~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))))) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))))))),
% 1.76/1.93 inference(tautology,[status(thm)],[])).
% 1.76/1.93 tff(265,plain,
% 1.76/1.93 ((~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~leaf(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))))))),
% 1.76/1.93 inference(unit_resolution,[status(thm)],[264, 263])).
% 1.76/1.93 tff(266,plain,
% 1.76/1.93 (~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[265, 238])).
% 1.76/1.94 tff(267,plain,
% 1.76/1.94 (^[X38: $i, X39: $i] : refl(((~root(X38, X39)) | legal(X38)) <=> ((~root(X38, X39)) | legal(X38)))),
% 1.76/1.94 inference(bind,[status(th)],[])).
% 1.76/1.94 tff(268,plain,
% 1.76/1.94 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38)) <=> ![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 1.76/1.94 inference(quant_intro,[status(thm)],[267])).
% 1.76/1.94 tff(269,plain,
% 1.76/1.94 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38)) <=> ![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 1.76/1.94 inference(rewrite,[status(thm)],[])).
% 1.76/1.94 tff(270,plain,
% 1.76/1.94 (^[X38: $i, X39: $i] : rewrite((root(X38, X39) => legal(X38)) <=> ((~root(X38, X39)) | legal(X38)))),
% 1.76/1.94 inference(bind,[status(th)],[])).
% 1.76/1.94 tff(271,plain,
% 1.76/1.94 (![X38: $i, X39: $i] : (root(X38, X39) => legal(X38)) <=> ![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 1.76/1.94 inference(quant_intro,[status(thm)],[270])).
% 1.76/1.94 tff(272,axiom,(![X38: $i, X39: $i] : (root(X38, X39) => legal(X38))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_12')).
% 1.76/1.94 tff(273,plain,
% 1.76/1.94 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[272, 271])).
% 1.76/1.94 tff(274,plain,
% 1.76/1.94 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[273, 269])).
% 1.76/1.94 tff(275,plain,(
% 1.76/1.94 ![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 1.76/1.94 inference(skolemize,[status(sab)],[274])).
% 1.76/1.94 tff(276,plain,
% 1.76/1.94 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[275, 268])).
% 1.76/1.94 tff(277,plain,
% 1.76/1.94 (((~![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))) | ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | legal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) <=> ((~![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | legal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))),
% 1.76/1.94 inference(rewrite,[status(thm)],[])).
% 1.76/1.94 tff(278,plain,
% 1.76/1.94 ((~![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))) | ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | legal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))),
% 1.76/1.94 inference(quant_inst,[status(thm)],[])).
% 1.76/1.94 tff(279,plain,
% 1.76/1.94 ((~![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | legal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[278, 277])).
% 1.76/1.94 tff(280,plain,
% 1.76/1.94 (legal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[279, 276, 222])).
% 1.76/1.94 tff(281,plain,
% 1.76/1.94 (^[X51: $i] : refl((arboreal(X51) | (~legal(X51))) <=> (arboreal(X51) | (~legal(X51))))),
% 1.76/1.94 inference(bind,[status(th)],[])).
% 1.76/1.94 tff(282,plain,
% 1.76/1.94 (![X51: $i] : (arboreal(X51) | (~legal(X51))) <=> ![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 1.76/1.94 inference(quant_intro,[status(thm)],[281])).
% 1.76/1.94 tff(283,plain,
% 1.76/1.94 (![X51: $i] : (arboreal(X51) | (~legal(X51))) <=> ![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 1.76/1.94 inference(rewrite,[status(thm)],[])).
% 1.76/1.94 tff(284,plain,
% 1.76/1.94 (^[X51: $i] : rewrite((legal(X51) => arboreal(X51)) <=> (arboreal(X51) | (~legal(X51))))),
% 1.76/1.94 inference(bind,[status(th)],[])).
% 1.76/1.94 tff(285,plain,
% 1.76/1.94 (![X51: $i] : (legal(X51) => arboreal(X51)) <=> ![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 1.76/1.94 inference(quant_intro,[status(thm)],[284])).
% 1.76/1.94 tff(286,axiom,(![X51: $i] : (legal(X51) => arboreal(X51))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_17')).
% 1.76/1.94 tff(287,plain,
% 1.76/1.94 (![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[286, 285])).
% 1.76/1.94 tff(288,plain,
% 1.76/1.94 (![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[287, 283])).
% 1.76/1.94 tff(289,plain,(
% 1.76/1.94 ![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 1.76/1.94 inference(skolemize,[status(sab)],[288])).
% 1.76/1.94 tff(290,plain,
% 1.76/1.94 (![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[289, 282])).
% 1.76/1.94 tff(291,plain,
% 1.76/1.94 (((~![X51: $i] : (arboreal(X51) | (~legal(X51)))) | (arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~legal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))))) <=> ((~![X51: $i] : (arboreal(X51) | (~legal(X51)))) | arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~legal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))))),
% 1.76/1.94 inference(rewrite,[status(thm)],[])).
% 1.76/1.94 tff(292,plain,
% 1.76/1.94 ((~![X51: $i] : (arboreal(X51) | (~legal(X51)))) | (arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~legal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))))),
% 1.76/1.94 inference(quant_inst,[status(thm)],[])).
% 1.76/1.94 tff(293,plain,
% 1.76/1.94 ((~![X51: $i] : (arboreal(X51) | (~legal(X51)))) | arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~legal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[292, 291])).
% 1.76/1.94 tff(294,plain,
% 1.76/1.94 (arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[293, 290, 280])).
% 1.76/1.94 tff(295,plain,
% 1.76/1.94 (((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)))) | subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))),
% 1.76/1.94 inference(tautology,[status(thm)],[])).
% 1.76/1.94 tff(296,plain,
% 1.76/1.94 (subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[295, 220])).
% 1.76/1.94 tff(297,plain,
% 1.76/1.94 (^[X100: $i, X101: $i] : refl((leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100))) <=> (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100))))),
% 1.76/1.94 inference(bind,[status(th)],[])).
% 1.76/1.94 tff(298,plain,
% 1.76/1.94 (![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100))) <=> ![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))),
% 1.76/1.94 inference(quant_intro,[status(thm)],[297])).
% 1.76/1.94 tff(299,plain,
% 1.76/1.94 (^[X100: $i, X101: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101))) <=> (~(leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100))))), ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) <=> (~(~(leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100))))))), rewrite((~(~(leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100))))) <=> (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))), ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) <=> (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100))))), (((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | root_occ(X100, X101)) <=> ((leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100))) | root_occ(X100, X101)))), rewrite(((leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100))) | root_occ(X100, X101)) <=> (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))), (((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | root_occ(X100, X101)) <=> (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))))),
% 1.76/1.94 inference(bind,[status(th)],[])).
% 1.76/1.94 tff(300,plain,
% 1.76/1.94 (![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | root_occ(X100, X101)) <=> ![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))),
% 1.76/1.94 inference(quant_intro,[status(thm)],[299])).
% 1.76/1.94 tff(301,plain,
% 1.76/1.94 (![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | root_occ(X100, X101)) <=> ![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | root_occ(X100, X101))),
% 1.76/1.94 inference(rewrite,[status(thm)],[])).
% 1.76/1.94 tff(302,plain,
% 1.76/1.94 (^[X100: $i, X101: $i] : trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101)) & arboreal(X100)) <=> (occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100))), ((((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101)) & arboreal(X100)) & (~leaf_occ(X100, X101))) <=> ((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100)) & (~leaf_occ(X100, X101))))), rewrite(((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100)) & (~leaf_occ(X100, X101))) <=> (occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))), ((((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101)) & arboreal(X100)) & (~leaf_occ(X100, X101))) <=> (occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101))))), (((((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101)) & arboreal(X100)) & (~leaf_occ(X100, X101))) => root_occ(X100, X101)) <=> ((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101))) => root_occ(X100, X101)))), rewrite(((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101))) => root_occ(X100, X101)) <=> ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | root_occ(X100, X101))), (((((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101)) & arboreal(X100)) & (~leaf_occ(X100, X101))) => root_occ(X100, X101)) <=> ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | root_occ(X100, X101))))),
% 1.76/1.94 inference(bind,[status(th)],[])).
% 1.76/1.94 tff(303,plain,
% 1.76/1.94 (![X100: $i, X101: $i] : ((((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101)) & arboreal(X100)) & (~leaf_occ(X100, X101))) => root_occ(X100, X101)) <=> ![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | root_occ(X100, X101))),
% 1.76/1.94 inference(quant_intro,[status(thm)],[302])).
% 1.76/1.94 tff(304,axiom,(![X100: $i, X101: $i] : ((((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101)) & arboreal(X100)) & (~leaf_occ(X100, X101))) => root_occ(X100, X101))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_46')).
% 1.76/1.94 tff(305,plain,
% 1.76/1.94 (![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | root_occ(X100, X101))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[304, 303])).
% 1.76/1.94 tff(306,plain,
% 1.76/1.94 (![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | root_occ(X100, X101))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[305, 301])).
% 1.76/1.94 tff(307,plain,(
% 1.76/1.94 ![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | root_occ(X100, X101))),
% 1.76/1.94 inference(skolemize,[status(sab)],[306])).
% 1.76/1.94 tff(308,plain,
% 1.76/1.94 (![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[307, 300])).
% 1.76/1.94 tff(309,plain,
% 1.76/1.94 (![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[308, 298])).
% 1.76/1.94 tff(310,plain,
% 1.76/1.94 (((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) | root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)))) <=> ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) | root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)))),
% 1.76/1.94 inference(rewrite,[status(thm)],[])).
% 1.76/1.94 tff(311,plain,
% 1.76/1.94 ((leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) | root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)))),
% 1.76/1.94 inference(rewrite,[status(thm)],[])).
% 1.76/1.94 tff(312,plain,
% 1.76/1.94 (((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))) | (leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))))) <=> ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) | root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))))),
% 1.76/1.94 inference(monotonicity,[status(thm)],[311])).
% 1.76/1.94 tff(313,plain,
% 1.76/1.94 (((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))) | (leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))))) <=> ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) | root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)))),
% 1.76/1.94 inference(transitivity,[status(thm)],[312, 310])).
% 1.76/1.94 tff(314,plain,
% 1.76/1.94 ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))) | (leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))))),
% 1.76/1.94 inference(quant_inst,[status(thm)],[])).
% 1.76/1.94 tff(315,plain,
% 1.76/1.94 ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) | root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[314, 313])).
% 1.76/1.94 tff(316,plain,
% 1.76/1.94 (leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) | root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[315, 309, 81, 296])).
% 1.76/1.94 tff(317,plain,
% 1.76/1.94 (leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[316, 294])).
% 1.76/1.94 tff(318,plain,
% 1.76/1.94 (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[317, 266])).
% 1.76/1.94 tff(319,plain,
% 1.76/1.94 (((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp0)))))) <=> ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp0)))))),
% 1.76/1.94 inference(rewrite,[status(thm)],[])).
% 1.76/1.94 tff(320,plain,
% 1.76/1.94 ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp0)))))),
% 1.76/1.94 inference(quant_inst,[status(thm)],[])).
% 1.76/1.94 tff(321,plain,
% 1.76/1.94 ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp0))))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[320, 319])).
% 1.76/1.94 tff(322,plain,
% 1.76/1.94 (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp0)))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[321, 51, 81])).
% 1.76/1.94 tff(323,plain,
% 1.76/1.94 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp0))) | root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))),
% 1.76/1.94 inference(tautology,[status(thm)],[])).
% 1.76/1.94 tff(324,plain,
% 1.76/1.94 (root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[323, 322])).
% 1.76/1.94 tff(325,plain,
% 1.76/1.94 (^[X7: $i, X8: $i, X9: $i, X10: $i] : refl(((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))) <=> ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))))),
% 1.76/1.94 inference(bind,[status(th)],[])).
% 1.76/1.94 tff(326,plain,
% 1.76/1.94 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))) <=> ![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))),
% 1.76/1.94 inference(quant_intro,[status(thm)],[325])).
% 1.76/1.94 tff(327,plain,
% 1.76/1.94 (^[X7: $i, X8: $i, X9: $i, X10: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9)) <=> (~((~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))))), ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) <=> (~(~((~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))))))), rewrite((~(~((~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))))) <=> ((~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))), ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) <=> ((~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))))), (((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8)) <=> (((~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))) | (X7 = X8)))), rewrite((((~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))) | (X7 = X8)) <=> ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))), (((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8)) <=> ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))))),
% 1.76/1.94 inference(bind,[status(th)],[])).
% 1.76/1.94 tff(328,plain,
% 1.76/1.94 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8)) <=> ![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))),
% 1.76/1.94 inference(quant_intro,[status(thm)],[327])).
% 1.76/1.94 tff(329,plain,
% 1.76/1.94 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8)) <=> ![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))),
% 1.76/1.94 inference(rewrite,[status(thm)],[])).
% 1.76/1.94 tff(330,plain,
% 1.76/1.94 (^[X7: $i, X8: $i, X9: $i, X10: $i] : trans(monotonicity(rewrite(((occurrence_of(X9, X10) & root_occ(X7, X9)) & root_occ(X8, X9)) <=> (occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))), ((((occurrence_of(X9, X10) & root_occ(X7, X9)) & root_occ(X8, X9)) => (X7 = X8)) <=> ((occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9)) => (X7 = X8)))), rewrite(((occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9)) => (X7 = X8)) <=> ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))), ((((occurrence_of(X9, X10) & root_occ(X7, X9)) & root_occ(X8, X9)) => (X7 = X8)) <=> ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))))),
% 1.76/1.94 inference(bind,[status(th)],[])).
% 1.76/1.94 tff(331,plain,
% 1.76/1.94 (![X7: $i, X8: $i, X9: $i, X10: $i] : (((occurrence_of(X9, X10) & root_occ(X7, X9)) & root_occ(X8, X9)) => (X7 = X8)) <=> ![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))),
% 1.76/1.94 inference(quant_intro,[status(thm)],[330])).
% 1.76/1.94 tff(332,axiom,(![X7: $i, X8: $i, X9: $i, X10: $i] : (((occurrence_of(X9, X10) & root_occ(X7, X9)) & root_occ(X8, X9)) => (X7 = X8))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_02')).
% 1.76/1.94 tff(333,plain,
% 1.76/1.94 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[332, 331])).
% 1.76/1.94 tff(334,plain,
% 1.76/1.94 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[333, 329])).
% 1.76/1.94 tff(335,plain,(
% 1.76/1.94 ![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))),
% 1.76/1.94 inference(skolemize,[status(sab)],[334])).
% 1.76/1.94 tff(336,plain,
% 1.76/1.94 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[335, 328])).
% 1.76/1.94 tff(337,plain,
% 1.76/1.94 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[336, 326])).
% 1.76/1.94 tff(338,plain,
% 1.76/1.94 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))))) <=> ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))))),
% 1.76/1.94 inference(rewrite,[status(thm)],[])).
% 1.76/1.94 tff(339,plain,
% 1.76/1.94 (((tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))))),
% 1.76/1.94 inference(rewrite,[status(thm)],[])).
% 1.76/1.94 tff(340,plain,
% 1.76/1.94 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))))) <=> ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)))))),
% 1.76/1.95 inference(monotonicity,[status(thm)],[339])).
% 1.76/1.95 tff(341,plain,
% 1.76/1.95 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))))) <=> ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))))),
% 1.76/1.95 inference(transitivity,[status(thm)],[340, 338])).
% 1.76/1.95 tff(342,plain,
% 1.76/1.95 ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))))),
% 1.76/1.95 inference(quant_inst,[status(thm)],[])).
% 1.76/1.95 tff(343,plain,
% 1.76/1.95 ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)))),
% 1.76/1.95 inference(modus_ponens,[status(thm)],[342, 341])).
% 1.76/1.95 tff(344,plain,
% 1.76/1.95 (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))),
% 1.76/1.95 inference(unit_resolution,[status(thm)],[343, 337, 81, 324, 318])).
% 1.76/1.95 tff(345,plain,
% 1.76/1.95 (tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) = tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)))),
% 1.76/1.95 inference(monotonicity,[status(thm)],[344])).
% 1.76/1.95 tff(346,plain,
% 1.76/1.95 (tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) = tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))),
% 1.76/1.95 inference(symmetry,[status(thm)],[345])).
% 1.76/1.95 tff(347,plain,
% 1.76/1.95 (min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp0) <=> min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)),
% 1.76/1.95 inference(monotonicity,[status(thm)],[346])).
% 1.76/1.95 tff(348,plain,
% 1.76/1.95 (min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0) <=> min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp0)),
% 1.76/1.95 inference(symmetry,[status(thm)],[347])).
% 1.76/1.95 tff(349,plain,
% 1.76/1.95 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)))))))))))),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(350,plain,
% 1.76/1.95 ((~((~(next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), X18, tptp0)))))))))) <=> (~((~(next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0))))))))))),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(351,plain,
% 1.76/1.95 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), X18, tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)))))))))))),
% 1.76/1.95 inference(monotonicity,[status(thm)],[350])).
% 1.76/1.95 tff(352,plain,
% 1.76/1.95 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), X18, tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)))))))))))),
% 1.76/1.95 inference(transitivity,[status(thm)],[351, 349])).
% 1.76/1.95 tff(353,plain,
% 1.76/1.95 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), X18, tptp0))))))))))),
% 1.76/1.95 inference(quant_inst,[status(thm)],[])).
% 1.76/1.95 tff(354,plain,
% 1.76/1.95 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0))))))))))),
% 1.76/1.95 inference(modus_ponens,[status(thm)],[353, 352])).
% 1.76/1.95 tff(355,plain,
% 1.76/1.95 (~((~(next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)))))))))),
% 1.76/1.95 inference(unit_resolution,[status(thm)],[354, 25])).
% 1.76/1.95 tff(356,plain,
% 1.76/1.95 (((~(next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0))))))))) | ((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)))))))),
% 1.76/1.95 inference(tautology,[status(thm)],[])).
% 1.76/1.95 tff(357,plain,
% 1.76/1.95 ((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0))))))),
% 1.76/1.95 inference(unit_resolution,[status(thm)],[356, 355])).
% 1.76/1.95 tff(358,plain,
% 1.76/1.95 (^[X102: $i, X103: $i] : refl((leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0))))) <=> (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0))))))),
% 1.76/1.95 inference(bind,[status(th)],[])).
% 1.76/1.95 tff(359,plain,
% 1.76/1.95 (![X102: $i, X103: $i] : (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0))))) <=> ![X102: $i, X103: $i] : (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0)))))),
% 1.76/1.95 inference(quant_intro,[status(thm)],[358])).
% 1.76/1.95 tff(360,plain,
% 1.76/1.95 (^[X102: $i, X103: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103))) <=> (~(leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102))))), ((~(occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103)))) <=> (~(~(leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102))))))), rewrite((~(~(leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102))))) <=> (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)))), ((~(occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103)))) <=> (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102))))), rewrite((occurrence_of(tptp_fun_X104_16(X102), tptp1) & next_subocc(X102, tptp_fun_X104_16(X102), tptp0)) <=> (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0))))), (((~(occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103)))) | (occurrence_of(tptp_fun_X104_16(X102), tptp1) & next_subocc(X102, tptp_fun_X104_16(X102), tptp0))) <=> ((leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102))) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0))))))), rewrite(((leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102))) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0))))) <=> (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0)))))), (((~(occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103)))) | (occurrence_of(tptp_fun_X104_16(X102), tptp1) & next_subocc(X102, tptp_fun_X104_16(X102), tptp0))) <=> (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0)))))))),
% 1.76/1.96 inference(bind,[status(th)],[])).
% 1.76/1.96 tff(361,plain,
% 1.76/1.96 (![X102: $i, X103: $i] : ((~(occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103)))) | (occurrence_of(tptp_fun_X104_16(X102), tptp1) & next_subocc(X102, tptp_fun_X104_16(X102), tptp0))) <=> ![X102: $i, X103: $i] : (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0)))))),
% 1.76/1.96 inference(quant_intro,[status(thm)],[360])).
% 1.76/1.96 tff(362,plain,
% 1.76/1.96 (![X102: $i, X103: $i] : ((~(occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103)))) | ?[X104: $i] : (occurrence_of(X104, tptp1) & next_subocc(X102, X104, tptp0))) <=> ![X102: $i, X103: $i] : ((~(occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103)))) | ?[X104: $i] : (occurrence_of(X104, tptp1) & next_subocc(X102, X104, tptp0)))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(363,plain,
% 1.76/1.96 (^[X102: $i, X103: $i] : trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103)) & arboreal(X102)) <=> (occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102))), ((((occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103)) & arboreal(X102)) & (~leaf_occ(X102, X103))) <=> ((occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102)) & (~leaf_occ(X102, X103))))), rewrite(((occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102)) & (~leaf_occ(X102, X103))) <=> (occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103)))), ((((occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103)) & arboreal(X102)) & (~leaf_occ(X102, X103))) <=> (occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103))))), (((((occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103)) & arboreal(X102)) & (~leaf_occ(X102, X103))) => ?[X104: $i] : (occurrence_of(X104, tptp1) & next_subocc(X102, X104, tptp0))) <=> ((occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103))) => ?[X104: $i] : (occurrence_of(X104, tptp1) & next_subocc(X102, X104, tptp0))))), rewrite(((occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103))) => ?[X104: $i] : (occurrence_of(X104, tptp1) & next_subocc(X102, X104, tptp0))) <=> ((~(occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103)))) | ?[X104: $i] : (occurrence_of(X104, tptp1) & next_subocc(X102, X104, tptp0)))), (((((occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103)) & arboreal(X102)) & (~leaf_occ(X102, X103))) => ?[X104: $i] : (occurrence_of(X104, tptp1) & next_subocc(X102, X104, tptp0))) <=> ((~(occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103)))) | ?[X104: $i] : (occurrence_of(X104, tptp1) & next_subocc(X102, X104, tptp0)))))),
% 1.76/1.96 inference(bind,[status(th)],[])).
% 1.76/1.96 tff(364,plain,
% 1.76/1.96 (![X102: $i, X103: $i] : ((((occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103)) & arboreal(X102)) & (~leaf_occ(X102, X103))) => ?[X104: $i] : (occurrence_of(X104, tptp1) & next_subocc(X102, X104, tptp0))) <=> ![X102: $i, X103: $i] : ((~(occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103)))) | ?[X104: $i] : (occurrence_of(X104, tptp1) & next_subocc(X102, X104, tptp0)))),
% 1.76/1.96 inference(quant_intro,[status(thm)],[363])).
% 1.76/1.96 tff(365,axiom,(![X102: $i, X103: $i] : ((((occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103)) & arboreal(X102)) & (~leaf_occ(X102, X103))) => ?[X104: $i] : (occurrence_of(X104, tptp1) & next_subocc(X102, X104, tptp0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_47')).
% 1.76/1.96 tff(366,plain,
% 1.76/1.96 (![X102: $i, X103: $i] : ((~(occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103)))) | ?[X104: $i] : (occurrence_of(X104, tptp1) & next_subocc(X102, X104, tptp0)))),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[365, 364])).
% 1.76/1.96 tff(367,plain,
% 1.76/1.96 (![X102: $i, X103: $i] : ((~(occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103)))) | ?[X104: $i] : (occurrence_of(X104, tptp1) & next_subocc(X102, X104, tptp0)))),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[366, 362])).
% 1.76/1.96 tff(368,plain,(
% 1.76/1.96 ![X102: $i, X103: $i] : ((~(occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103)))) | (occurrence_of(tptp_fun_X104_16(X102), tptp1) & next_subocc(X102, tptp_fun_X104_16(X102), tptp0)))),
% 1.76/1.96 inference(skolemize,[status(sab)],[367])).
% 1.76/1.96 tff(369,plain,
% 1.76/1.96 (![X102: $i, X103: $i] : (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0)))))),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[368, 361])).
% 1.76/1.96 tff(370,plain,
% 1.76/1.96 (![X102: $i, X103: $i] : (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0)))))),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[369, 359])).
% 1.76/1.96 tff(371,plain,
% 1.76/1.96 (((~![X102: $i, X103: $i] : (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)))))) <=> ((~![X102: $i, X103: $i] : (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)))))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(372,plain,
% 1.76/1.96 ((leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0))))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)))))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(373,plain,
% 1.76/1.96 (((~![X102: $i, X103: $i] : (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0)))))) | (leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)))))) <=> ((~![X102: $i, X103: $i] : (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0))))))),
% 1.76/1.96 inference(monotonicity,[status(thm)],[372])).
% 1.76/1.96 tff(374,plain,
% 1.76/1.96 (((~![X102: $i, X103: $i] : (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0)))))) | (leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)))))) <=> ((~![X102: $i, X103: $i] : (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)))))),
% 1.76/1.96 inference(transitivity,[status(thm)],[373, 371])).
% 1.76/1.96 tff(375,plain,
% 1.76/1.96 ((~![X102: $i, X103: $i] : (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0)))))) | (leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)))))),
% 1.76/1.96 inference(quant_inst,[status(thm)],[])).
% 1.76/1.96 tff(376,plain,
% 1.76/1.96 ((~![X102: $i, X103: $i] : (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) | leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0))))),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[375, 374])).
% 1.76/1.96 tff(377,plain,
% 1.76/1.96 (leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0))))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[376, 370, 81, 296])).
% 1.76/1.96 tff(378,plain,
% 1.76/1.96 (leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)) | (~((~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0))))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[377, 294])).
% 1.76/1.96 tff(379,plain,
% 1.76/1.96 (~((~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[378, 266])).
% 1.76/1.96 tff(380,plain,
% 1.76/1.96 (((~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0))) | next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)),
% 1.76/1.96 inference(tautology,[status(thm)],[])).
% 1.76/1.96 tff(381,plain,
% 1.76/1.96 (next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[380, 379])).
% 1.76/1.96 tff(382,plain,
% 1.76/1.96 ((~((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)))))))) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0))))))),
% 1.76/1.96 inference(tautology,[status(thm)],[])).
% 1.76/1.96 tff(383,plain,
% 1.76/1.96 ((~((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)))))))) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0))))))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[382, 381])).
% 1.76/1.96 tff(384,plain,
% 1.76/1.96 (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)))))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[383, 357])).
% 1.76/1.96 tff(385,plain,
% 1.76/1.96 (((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0))))) | min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)),
% 1.76/1.96 inference(tautology,[status(thm)],[])).
% 1.76/1.96 tff(386,plain,
% 1.76/1.96 (min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[385, 384])).
% 1.76/1.96 tff(387,plain,
% 1.76/1.96 (min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp0)),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[386, 348])).
% 1.76/1.96 tff(388,plain,
% 1.76/1.96 (((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | ((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))))))) <=> ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))))))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(389,plain,
% 1.76/1.96 ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | ((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))))))),
% 1.76/1.96 inference(quant_inst,[status(thm)],[])).
% 1.76/1.96 tff(390,plain,
% 1.76/1.96 ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)))))),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[389, 388])).
% 1.76/1.96 tff(391,plain,
% 1.76/1.96 ((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)))))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[390, 75])).
% 1.76/1.96 tff(392,plain,
% 1.76/1.96 (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))))),
% 1.76/1.97 inference(unit_resolution,[status(thm)],[391, 387])).
% 1.76/1.97 tff(393,plain,
% 1.76/1.97 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)))) | occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)),
% 1.76/1.97 inference(tautology,[status(thm)],[])).
% 1.76/1.97 tff(394,plain,
% 1.76/1.97 (occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)),
% 1.76/1.97 inference(unit_resolution,[status(thm)],[393, 392])).
% 1.76/1.97 tff(395,plain,
% 1.76/1.97 (((~![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))) | (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))))))) <=> ((~![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))))))),
% 1.76/1.97 inference(rewrite,[status(thm)],[])).
% 1.76/1.97 tff(396,plain,
% 1.76/1.97 ((~![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))) | (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))))))),
% 1.76/1.97 inference(quant_inst,[status(thm)],[])).
% 1.76/1.97 tff(397,plain,
% 1.76/1.97 ((~![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)))))),
% 1.76/1.97 inference(modus_ponens,[status(thm)],[396, 395])).
% 1.76/1.97 tff(398,plain,
% 1.76/1.97 (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))))),
% 1.76/1.97 inference(unit_resolution,[status(thm)],[397, 216, 125, 394])).
% 1.76/1.97 tff(399,plain,
% 1.76/1.97 (((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)))) | root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp0)),
% 1.76/1.97 inference(tautology,[status(thm)],[])).
% 1.76/1.97 tff(400,plain,
% 1.76/1.97 (root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp0)),
% 1.76/1.97 inference(unit_resolution,[status(thm)],[399, 398])).
% 1.76/1.97 tff(401,plain,
% 1.76/1.97 (root(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp0)),
% 1.76/1.97 inference(modus_ponens,[status(thm)],[400, 3])).
% 1.76/1.97 tff(402,plain,
% 1.76/1.97 (((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | ((~root(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp0)))) <=> ((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | (~root(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp0)))),
% 1.76/1.97 inference(rewrite,[status(thm)],[])).
% 1.76/1.97 tff(403,plain,
% 1.76/1.97 ((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | ((~root(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp0)))),
% 1.76/1.97 inference(quant_inst,[status(thm)],[])).
% 1.76/1.97 tff(404,plain,
% 1.76/1.97 ((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | (~root(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp0))),
% 1.76/1.97 inference(modus_ponens,[status(thm)],[403, 402])).
% 1.76/1.97 tff(405,plain,
% 1.76/1.97 ((~root(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp0))),
% 1.76/1.97 inference(unit_resolution,[status(thm)],[404, 232])).
% 1.76/1.97 tff(406,plain,
% 1.76/1.97 (~root(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp0)),
% 1.76/1.97 inference(unit_resolution,[status(thm)],[405, 387])).
% 1.76/1.97 tff(407,plain,
% 1.76/1.97 ($false),
% 1.76/1.97 inference(unit_resolution,[status(thm)],[406, 401])).
% 1.76/1.97 tff(408,plain,(~(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0))), inference(lemma,lemma(discharge,[]))).
% 1.76/1.97 tff(409,assumption,(![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), X34)))), introduced(assumption)).
% 1.76/1.97 tff(410,plain,
% 1.76/1.97 (((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)))) | subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))),
% 1.76/1.97 inference(tautology,[status(thm)],[])).
% 1.76/1.97 tff(411,plain,
% 1.76/1.97 (subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))),
% 1.76/1.97 inference(unit_resolution,[status(thm)],[410, 398])).
% 1.76/1.97 tff(412,plain,
% 1.76/1.97 (((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), X34)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))))) <=> ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), X34)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))))),
% 1.82/1.97 inference(rewrite,[status(thm)],[])).
% 1.82/1.97 tff(413,plain,
% 1.82/1.97 (((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp0))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))))),
% 1.82/1.97 inference(rewrite,[status(thm)],[])).
% 1.82/1.97 tff(414,plain,
% 1.82/1.97 (((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), X34)))) | ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp0)))) <=> ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), X34)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)))))),
% 1.82/1.97 inference(monotonicity,[status(thm)],[413])).
% 1.82/1.97 tff(415,plain,
% 1.82/1.97 (((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), X34)))) | ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp0)))) <=> ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), X34)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))))),
% 1.82/1.97 inference(transitivity,[status(thm)],[414, 412])).
% 1.82/1.97 tff(416,plain,
% 1.82/1.97 ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), X34)))) | ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp0)))),
% 1.82/1.97 inference(quant_inst,[status(thm)],[])).
% 1.82/1.97 tff(417,plain,
% 1.82/1.97 ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), X34)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)))),
% 1.82/1.97 inference(modus_ponens,[status(thm)],[416, 415])).
% 1.82/1.97 tff(418,plain,
% 1.82/1.97 ($false),
% 1.82/1.97 inference(unit_resolution,[status(thm)],[417, 394, 400, 411, 409])).
% 1.82/1.97 tff(419,plain,(~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), X34)))), inference(lemma,lemma(discharge,[]))).
% 1.82/1.97 tff(420,plain,
% 1.82/1.97 (^[X32: $i, X33: $i] : refl((~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))))) <=> (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))))))),
% 1.82/1.98 inference(bind,[status(th)],[])).
% 1.82/1.98 tff(421,plain,
% 1.82/1.98 (![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))))) <=> ![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))),
% 1.82/1.98 inference(quant_intro,[status(thm)],[420])).
% 1.82/1.98 tff(422,plain,
% 1.82/1.98 (^[X32: $i, X33: $i] : rewrite((~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))))) <=> (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))))))),
% 1.82/1.98 inference(bind,[status(th)],[])).
% 1.82/1.98 tff(423,plain,
% 1.82/1.98 (![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))))) <=> ![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))),
% 1.82/1.98 inference(quant_intro,[status(thm)],[422])).
% 1.82/1.98 tff(424,plain,
% 1.82/1.98 (![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))))) <=> ![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))),
% 1.82/1.98 inference(transitivity,[status(thm)],[423, 421])).
% 1.82/1.98 tff(425,plain,
% 1.82/1.98 (^[X32: $i, X33: $i] : trans(monotonicity(rewrite(((~root_occ(X32, X33)) | (occurrence_of(X33, tptp_fun_X34_1(X33, X32)) & subactivity_occurrence(X32, X33) & root(X32, tptp_fun_X34_1(X33, X32)))) <=> ((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))), rewrite((root_occ(X32, X33) | ![X34: $i] : (~(occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34)))) <=> (root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))), ((((~root_occ(X32, X33)) | (occurrence_of(X33, tptp_fun_X34_1(X33, X32)) & subactivity_occurrence(X32, X33) & root(X32, tptp_fun_X34_1(X33, X32)))) & (root_occ(X32, X33) | ![X34: $i] : (~(occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34))))) <=> (((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32)))))) & (root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))))), rewrite((((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32)))))) & (root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))) <=> (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))), ((((~root_occ(X32, X33)) | (occurrence_of(X33, tptp_fun_X34_1(X33, X32)) & subactivity_occurrence(X32, X33) & root(X32, tptp_fun_X34_1(X33, X32)))) & (root_occ(X32, X33) | ![X34: $i] : (~(occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34))))) <=> (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))))),
% 1.82/1.98 inference(bind,[status(th)],[])).
% 1.82/1.98 tff(426,plain,
% 1.82/1.98 (![X32: $i, X33: $i] : (((~root_occ(X32, X33)) | (occurrence_of(X33, tptp_fun_X34_1(X33, X32)) & subactivity_occurrence(X32, X33) & root(X32, tptp_fun_X34_1(X33, X32)))) & (root_occ(X32, X33) | ![X34: $i] : (~(occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34))))) <=> ![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))),
% 1.82/1.98 inference(quant_intro,[status(thm)],[425])).
% 1.82/1.98 tff(427,plain,
% 1.82/1.98 (![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : (occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34))) <=> ![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : (occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34)))),
% 1.82/1.98 inference(rewrite,[status(thm)],[])).
% 1.82/1.98 tff(428,plain,
% 1.82/1.98 (^[X32: $i, X33: $i] : rewrite((root_occ(X32, X33) <=> ?[X34: $i] : ((occurrence_of(X33, X34) & subactivity_occurrence(X32, X33)) & root(X32, X34))) <=> (root_occ(X32, X33) <=> ?[X34: $i] : (occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34))))),
% 1.82/1.98 inference(bind,[status(th)],[])).
% 1.82/1.98 tff(429,plain,
% 1.82/1.98 (![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : ((occurrence_of(X33, X34) & subactivity_occurrence(X32, X33)) & root(X32, X34))) <=> ![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : (occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34)))),
% 1.82/1.98 inference(quant_intro,[status(thm)],[428])).
% 1.82/1.98 tff(430,axiom,(![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : ((occurrence_of(X33, X34) & subactivity_occurrence(X32, X33)) & root(X32, X34)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_10')).
% 1.82/1.98 tff(431,plain,
% 1.82/1.98 (![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : (occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34)))),
% 1.82/1.98 inference(modus_ponens,[status(thm)],[430, 429])).
% 1.82/1.98 tff(432,plain,
% 1.82/1.98 (![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : (occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34)))),
% 1.82/1.98 inference(modus_ponens,[status(thm)],[431, 427])).
% 1.82/1.98 tff(433,plain,(
% 1.82/1.98 ![X32: $i, X33: $i] : (((~root_occ(X32, X33)) | (occurrence_of(X33, tptp_fun_X34_1(X33, X32)) & subactivity_occurrence(X32, X33) & root(X32, tptp_fun_X34_1(X33, X32)))) & (root_occ(X32, X33) | ![X34: $i] : (~(occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34)))))),
% 1.82/1.98 inference(skolemize,[status(sab)],[432])).
% 1.82/1.98 tff(434,plain,
% 1.82/1.98 (![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))),
% 1.82/1.98 inference(modus_ponens,[status(thm)],[433, 426])).
% 1.82/1.98 tff(435,plain,
% 1.82/1.98 (![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))),
% 1.82/1.98 inference(modus_ponens,[status(thm)],[434, 424])).
% 1.82/1.98 tff(436,plain,
% 1.82/1.98 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), X34)))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), X34))))))))),
% 1.82/1.98 inference(rewrite,[status(thm)],[])).
% 1.82/1.98 tff(437,plain,
% 1.82/1.98 ((~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), X34))))))) <=> (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), X34)))))))),
% 1.82/1.98 inference(rewrite,[status(thm)],[])).
% 1.82/1.98 tff(438,plain,
% 1.82/1.98 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), X34)))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), X34))))))))),
% 1.82/1.98 inference(monotonicity,[status(thm)],[437])).
% 1.82/1.98 tff(439,plain,
% 1.82/1.98 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), X34)))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), X34))))))))),
% 1.82/1.99 inference(transitivity,[status(thm)],[438, 436])).
% 1.82/1.99 tff(440,plain,
% 1.82/1.99 ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), X34)))))))),
% 1.82/1.99 inference(quant_inst,[status(thm)],[])).
% 1.82/1.99 tff(441,plain,
% 1.82/1.99 ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), X34)))))))),
% 1.82/1.99 inference(modus_ponens,[status(thm)],[440, 439])).
% 1.82/1.99 tff(442,plain,
% 1.82/1.99 (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), X34))))))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[441, 435])).
% 1.82/1.99 tff(443,plain,
% 1.82/1.99 (((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), X34)))))) | (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), X34))))),
% 1.82/1.99 inference(tautology,[status(thm)],[])).
% 1.82/1.99 tff(444,plain,
% 1.82/1.99 (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), X34)))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[443, 442])).
% 1.82/1.99 tff(445,plain,
% 1.82/1.99 ((~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), X34))))) | root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), X34)))),
% 1.82/1.99 inference(tautology,[status(thm)],[])).
% 1.82/1.99 tff(446,plain,
% 1.82/1.99 (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), X34)))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[445, 444])).
% 1.82/1.99 tff(447,plain,
% 1.82/1.99 (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[446, 419])).
% 1.82/1.99 tff(448,assumption,(root_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))), introduced(assumption)).
% 1.82/1.99 tff(449,plain,
% 1.82/1.99 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)))) <=> ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)))),
% 1.82/2.00 inference(rewrite,[status(thm)],[])).
% 1.82/2.00 tff(450,plain,
% 1.82/2.00 (((tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)))),
% 1.82/2.00 inference(rewrite,[status(thm)],[])).
% 1.82/2.00 tff(451,plain,
% 1.82/2.00 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))))) <=> ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0))))),
% 1.82/2.00 inference(monotonicity,[status(thm)],[450])).
% 1.82/2.00 tff(452,plain,
% 1.82/2.00 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))))) <=> ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)))),
% 1.82/2.00 inference(transitivity,[status(thm)],[451, 449])).
% 1.82/2.00 tff(453,plain,
% 1.82/2.00 ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))))),
% 1.82/2.00 inference(quant_inst,[status(thm)],[])).
% 1.82/2.00 tff(454,plain,
% 1.82/2.00 ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0))),
% 1.82/2.00 inference(modus_ponens,[status(thm)],[453, 452])).
% 1.82/2.00 tff(455,plain,
% 1.82/2.00 ($false),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[454, 337, 394, 448, 447, 408])).
% 1.82/2.00 tff(456,plain,(~root_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.00 tff(457,plain,
% 1.82/2.00 (arboreal(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)))) <=> arboreal(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))),
% 1.82/2.00 inference(monotonicity,[status(thm)],[346])).
% 1.82/2.00 tff(458,plain,
% 1.82/2.00 (arboreal(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) <=> arboreal(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))))),
% 1.82/2.00 inference(symmetry,[status(thm)],[457])).
% 1.82/2.00 tff(459,plain,
% 1.82/2.00 (^[X19: $i, X20: $i, X21: $i] : refl(((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20))))) <=> ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20))))))),
% 1.82/2.00 inference(bind,[status(th)],[])).
% 1.82/2.00 tff(460,plain,
% 1.82/2.00 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20))))) <=> ![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))),
% 1.82/2.00 inference(quant_intro,[status(thm)],[459])).
% 1.82/2.00 tff(461,plain,
% 1.82/2.00 (^[X19: $i, X20: $i, X21: $i] : rewrite(((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20))) <=> ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20))))))),
% 1.82/2.00 inference(bind,[status(th)],[])).
% 1.82/2.00 tff(462,plain,
% 1.82/2.00 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20))) <=> ![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))),
% 1.82/2.00 inference(quant_intro,[status(thm)],[461])).
% 1.82/2.00 tff(463,plain,
% 1.82/2.00 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20))) <=> ![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 1.82/2.00 inference(rewrite,[status(thm)],[])).
% 1.82/2.00 tff(464,plain,
% 1.82/2.00 (^[X19: $i, X20: $i, X21: $i] : rewrite((next_subocc(X19, X20, X21) => (arboreal(X19) & arboreal(X20))) <=> ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20))))),
% 1.82/2.00 inference(bind,[status(th)],[])).
% 1.82/2.00 tff(465,plain,
% 1.82/2.00 (![X19: $i, X20: $i, X21: $i] : (next_subocc(X19, X20, X21) => (arboreal(X19) & arboreal(X20))) <=> ![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 1.82/2.00 inference(quant_intro,[status(thm)],[464])).
% 1.82/2.00 tff(466,axiom,(![X19: $i, X20: $i, X21: $i] : (next_subocc(X19, X20, X21) => (arboreal(X19) & arboreal(X20)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_05')).
% 1.82/2.00 tff(467,plain,
% 1.82/2.00 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 1.82/2.00 inference(modus_ponens,[status(thm)],[466, 465])).
% 1.82/2.00 tff(468,plain,
% 1.82/2.00 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 1.82/2.00 inference(modus_ponens,[status(thm)],[467, 463])).
% 1.82/2.00 tff(469,plain,(
% 1.82/2.00 ![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 1.82/2.00 inference(skolemize,[status(sab)],[468])).
% 1.82/2.00 tff(470,plain,
% 1.82/2.00 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))),
% 1.82/2.00 inference(modus_ponens,[status(thm)],[469, 462])).
% 1.82/2.00 tff(471,plain,
% 1.82/2.00 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))),
% 1.82/2.00 inference(modus_ponens,[status(thm)],[470, 460])).
% 1.82/2.00 tff(472,plain,
% 1.82/2.00 (((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | ((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) | (~arboreal(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))))) <=> ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) | (~arboreal(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))))),
% 1.82/2.00 inference(rewrite,[status(thm)],[])).
% 1.82/2.00 tff(473,plain,
% 1.82/2.00 ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | ((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) | (~arboreal(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))))),
% 1.82/2.00 inference(quant_inst,[status(thm)],[])).
% 1.82/2.00 tff(474,plain,
% 1.82/2.00 ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) | (~arboreal(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))))))),
% 1.82/2.00 inference(modus_ponens,[status(thm)],[473, 472])).
% 1.82/2.00 tff(475,plain,
% 1.82/2.00 (~((~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) | (~arboreal(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[474, 471, 381])).
% 1.82/2.00 tff(476,plain,
% 1.82/2.00 (((~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))) | (~arboreal(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0))))) | arboreal(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))),
% 1.82/2.00 inference(tautology,[status(thm)],[])).
% 1.82/2.00 tff(477,plain,
% 1.82/2.00 (arboreal(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[476, 475])).
% 1.82/2.00 tff(478,plain,
% 1.82/2.00 (arboreal(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))))),
% 1.82/2.00 inference(modus_ponens,[status(thm)],[477, 458])).
% 1.82/2.00 tff(479,plain,
% 1.82/2.00 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)))) | subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))),
% 1.82/2.00 inference(tautology,[status(thm)],[])).
% 1.82/2.00 tff(480,plain,
% 1.82/2.00 (subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[479, 392])).
% 1.82/2.00 tff(481,plain,
% 1.82/2.00 (((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~arboreal(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))))) | leaf_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | root_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)))) <=> ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~arboreal(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))))) | leaf_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | root_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)))),
% 1.82/2.00 inference(rewrite,[status(thm)],[])).
% 1.82/2.00 tff(482,plain,
% 1.82/2.00 ((leaf_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | root_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0)))))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~arboreal(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))))) | leaf_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | root_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)))),
% 1.82/2.00 inference(rewrite,[status(thm)],[])).
% 1.82/2.00 tff(483,plain,
% 1.82/2.00 (((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))) | (leaf_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | root_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))))))) <=> ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~arboreal(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))))) | leaf_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | root_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))))),
% 1.82/2.00 inference(monotonicity,[status(thm)],[482])).
% 1.82/2.00 tff(484,plain,
% 1.82/2.00 (((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))) | (leaf_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | root_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))))))) <=> ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~arboreal(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))))) | leaf_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | root_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)))),
% 1.82/2.00 inference(transitivity,[status(thm)],[483, 481])).
% 1.82/2.00 tff(485,plain,
% 1.82/2.00 ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))) | (leaf_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | root_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))))))),
% 1.82/2.00 inference(quant_inst,[status(thm)],[])).
% 1.82/2.00 tff(486,plain,
% 1.82/2.00 ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~arboreal(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))))) | leaf_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | root_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))),
% 1.82/2.00 inference(modus_ponens,[status(thm)],[485, 484])).
% 1.82/2.00 tff(487,plain,
% 1.82/2.00 ((~arboreal(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))))) | leaf_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | root_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[486, 309, 394, 480])).
% 1.82/2.00 tff(488,plain,
% 1.82/2.00 (leaf_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)) | root_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[487, 478])).
% 1.82/2.00 tff(489,plain,
% 1.82/2.00 (leaf_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[488, 456])).
% 1.82/2.01 tff(490,plain,
% 1.82/2.01 (((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp4)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp0)))))) <=> ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp4)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp0)))))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(491,plain,
% 1.82/2.01 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp0))))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp4)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp0)))))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(492,plain,
% 1.82/2.01 (((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp0)))))) <=> ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp4)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp0))))))),
% 1.82/2.01 inference(monotonicity,[status(thm)],[491])).
% 1.82/2.01 tff(493,plain,
% 1.82/2.01 (((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp0)))))) <=> ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp4)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp0)))))),
% 1.82/2.01 inference(transitivity,[status(thm)],[492, 490])).
% 1.82/2.01 tff(494,plain,
% 1.82/2.01 ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp0)))))),
% 1.82/2.01 inference(quant_inst,[status(thm)],[])).
% 1.82/2.01 tff(495,plain,
% 1.82/2.01 ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp4)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp0))))),
% 1.82/2.01 inference(modus_ponens,[status(thm)],[494, 493])).
% 1.82/2.01 tff(496,plain,
% 1.82/2.01 (~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp4)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp0)))),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[495, 51, 394])).
% 1.82/2.01 tff(497,plain,
% 1.82/2.01 (((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp4)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp0))) | leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))),
% 1.82/2.01 inference(tautology,[status(thm)],[])).
% 1.82/2.01 tff(498,plain,
% 1.82/2.01 (leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[497, 496])).
% 1.82/2.01 tff(499,plain,
% 1.82/2.01 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~leaf_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))))) <=> ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~leaf_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(500,plain,
% 1.82/2.01 (((tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)))) <=> (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~leaf_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(501,plain,
% 1.82/2.02 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))))) <=> ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~leaf_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)))))),
% 1.82/2.02 inference(monotonicity,[status(thm)],[500])).
% 1.82/2.02 tff(502,plain,
% 1.82/2.02 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))))) <=> ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~leaf_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))))),
% 1.82/2.02 inference(transitivity,[status(thm)],[501, 499])).
% 1.82/2.02 tff(503,plain,
% 1.82/2.02 ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))))),
% 1.82/2.02 inference(quant_inst,[status(thm)],[])).
% 1.82/2.02 tff(504,plain,
% 1.82/2.02 ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~leaf_occ(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)))),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[503, 502])).
% 1.82/2.02 tff(505,plain,
% 1.82/2.02 (tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[504, 176, 125, 394, 498, 489])).
% 1.82/2.02 tff(506,plain,
% 1.82/2.02 (occurrence_of(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp3) <=> occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp3)),
% 1.82/2.02 inference(monotonicity,[status(thm)],[505])).
% 1.82/2.02 tff(507,plain,
% 1.82/2.02 (occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp3) <=> occurrence_of(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp3)),
% 1.82/2.02 inference(symmetry,[status(thm)],[506])).
% 1.82/2.02 tff(508,plain,
% 1.82/2.02 (((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp4)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp0))) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp3)),
% 1.82/2.02 inference(tautology,[status(thm)],[])).
% 1.82/2.02 tff(509,plain,
% 1.82/2.02 (occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp0)), tptp3)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[508, 496])).
% 1.82/2.02 tff(510,plain,
% 1.82/2.02 (occurrence_of(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp3)),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[509, 507])).
% 1.82/2.02 tff(511,plain,
% 1.82/2.02 (occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp1) <=> occurrence_of(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp1)),
% 1.82/2.02 inference(monotonicity,[status(thm)],[345])).
% 1.82/2.02 tff(512,plain,
% 1.82/2.02 (((~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp0))) | occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp1)),
% 1.82/2.02 inference(tautology,[status(thm)],[])).
% 1.82/2.02 tff(513,plain,
% 1.82/2.02 (occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0), tptp0)), tptp1)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[512, 379])).
% 1.82/2.02 tff(514,plain,
% 1.82/2.02 (occurrence_of(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp1)),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[513, 511])).
% 1.82/2.02 tff(515,plain,
% 1.82/2.02 ((~(tptp1 = tptp3)) <=> (~(tptp1 = tptp3))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(516,axiom,(~(tptp1 = tptp3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_42')).
% 1.82/2.02 tff(517,plain,
% 1.82/2.02 (~(tptp1 = tptp3)),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[516, 515])).
% 1.82/2.02 tff(518,plain,
% 1.82/2.02 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp3)))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (tptp1 = tptp3) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp3)))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(519,plain,
% 1.82/2.02 (((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp3)) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp1))) <=> ((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp3)))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(520,plain,
% 1.82/2.02 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp3)) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp1)))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp3))))),
% 1.82/2.02 inference(monotonicity,[status(thm)],[519])).
% 1.82/2.02 tff(521,plain,
% 1.82/2.02 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp3)) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp1)))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (tptp1 = tptp3) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp3)))),
% 1.82/2.03 inference(transitivity,[status(thm)],[520, 518])).
% 1.82/2.03 tff(522,plain,
% 1.82/2.03 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp3)) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp1)))),
% 1.82/2.03 inference(quant_inst,[status(thm)],[])).
% 1.82/2.03 tff(523,plain,
% 1.82/2.03 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (tptp1 = tptp3) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp3))),
% 1.82/2.03 inference(modus_ponens,[status(thm)],[522, 521])).
% 1.82/2.03 tff(524,plain,
% 1.82/2.03 (~occurrence_of(tptp_fun_X104_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17), tptp0))), tptp3)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[523, 94, 517, 514])).
% 1.82/2.03 tff(525,plain,
% 1.82/2.03 ($false),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[524, 510])).
% 1.82/2.03 % SZS output end Proof
% 1.82/2.03 % E exiting
%------------------------------------------------------------------------------