TSTP Solution File: PRO011+4 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : PRO011+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n029.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 : Thu Aug 31 13:06:23 EDT 2023
% Result : Theorem 64.87s 65.17s
% Output : Proof 64.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15 % Problem : PRO011+4 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.16 % Command : do_cvc5 %s %d
% 0.14/0.37 % Computer : n029.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Mon Aug 28 19:47:56 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.19/0.48 %----Proving TF0_NAR, FOF, or CNF
% 64.87/65.17 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.h1RLzS8d52/cvc5---1.0.5_32105.p...
% 64.87/65.17 ------- get file name : TPTP file name is PRO011+4
% 64.87/65.17 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_32105.smt2...
% 64.87/65.17 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 64.87/65.17 --- Run --no-e-matching --full-saturate-quant at 5...
% 64.87/65.17 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 64.87/65.17 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 64.87/65.17 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 64.87/65.17 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 64.87/65.17 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 64.87/65.17 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 64.87/65.17 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 64.87/65.17 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 64.87/65.17 --- Run --relevant-triggers --full-saturate-quant at 5...
% 64.87/65.17 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 64.87/65.17 % SZS status Theorem for PRO011+4
% 64.87/65.17 % SZS output start Proof for PRO011+4
% 64.87/65.17 (
% 64.87/65.17 (let ((_let_1 (not (forall ((X105 $$unsorted)) (=> (tptp.occurrence_of X105 tptp.tptp0) (exists ((X106 $$unsorted) (X107 $$unsorted)) (and (tptp.leaf_occ X107 X105) (=> (tptp.occurrence_of X107 tptp.tptp1) (not (exists ((X108 $$unsorted)) (and (tptp.occurrence_of X108 tptp.tptp2) (tptp.subactivity_occurrence X108 X105) (tptp.min_precedes X106 X108 tptp.tptp0))))) (=> (tptp.occurrence_of X107 tptp.tptp2) (not (exists ((X109 $$unsorted)) (and (tptp.occurrence_of X109 tptp.tptp1) (tptp.subactivity_occurrence X109 X105) (tptp.min_precedes X106 X109 tptp.tptp0)))))))))))) (let ((_let_2 (= tptp.tptp1 tptp.tptp2))) (let ((_let_3 (not _let_2))) (let ((_let_4 (= tptp.tptp3 tptp.tptp1))) (let ((_let_5 (not _let_4))) (let ((_let_6 (= tptp.tptp4 tptp.tptp2))) (let ((_let_7 (not _let_6))) (let ((_let_8 (= tptp.tptp4 tptp.tptp1))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.atomic tptp.tptp3))) (let ((_let_11 (tptp.atomic tptp.tptp2))) (let ((_let_12 (tptp.atomic tptp.tptp1))) (let ((_let_13 (tptp.atomic tptp.tptp4))) (let ((_let_14 (forall ((X101 $$unsorted)) (=> (tptp.occurrence_of X101 tptp.tptp0) (exists ((X102 $$unsorted) (X103 $$unsorted) (X104 $$unsorted)) (and (tptp.occurrence_of X102 tptp.tptp3) (tptp.root_occ X102 X101) (tptp.occurrence_of X103 tptp.tptp4) (tptp.next_subocc X102 X103 tptp.tptp0) (or (tptp.occurrence_of X104 tptp.tptp1) (tptp.occurrence_of X104 tptp.tptp2)) (tptp.next_subocc X103 X104 tptp.tptp0) (tptp.leaf_occ X104 X101))))))) (let ((_let_15 (forall ((X82 $$unsorted) (X83 $$unsorted) (X84 $$unsorted) (X85 $$unsorted)) (=> (and (tptp.min_precedes X82 X83 X84) (tptp.occurrence_of X85 X84) (tptp.subactivity_occurrence X83 X85)) (tptp.subactivity_occurrence X82 X85))))) (let ((_let_16 (forall ((X78 $$unsorted) (X79 $$unsorted) (X80 $$unsorted)) (= (tptp.next_subocc X78 X79 X80) (and (tptp.min_precedes X78 X79 X80) (not (exists ((X81 $$unsorted)) (and (tptp.min_precedes X78 X81 X80) (tptp.min_precedes X81 X79 X80))))))))) (let ((_let_17 (forall ((X58 $$unsorted) (X59 $$unsorted)) (= (tptp.root_occ X58 X59) (exists ((X60 $$unsorted)) (and (tptp.occurrence_of X59 X60) (tptp.subactivity_occurrence X58 X59) (tptp.root X58 X60))))))) (let ((_let_18 (forall ((X55 $$unsorted) (X56 $$unsorted)) (= (tptp.leaf_occ X55 X56) (exists ((X57 $$unsorted)) (and (tptp.occurrence_of X56 X57) (tptp.subactivity_occurrence X55 X56) (tptp.leaf X55 X57))))))) (let ((_let_19 (forall ((X51 $$unsorted) (X52 $$unsorted)) (=> (tptp.occurrence_of X51 X52) (= (tptp.arboreal X51) (tptp.atomic X52)))))) (let ((_let_20 (forall ((X35 $$unsorted) (X36 $$unsorted) (X37 $$unsorted)) (=> (and (tptp.occurrence_of X35 X37) (tptp.root_occ X36 X35)) (not (exists ((X38 $$unsorted)) (tptp.min_precedes X38 X36 X37))))))) (let ((_let_21 (forall ((X28 $$unsorted) (X29 $$unsorted) (X30 $$unsorted)) (=> (and (tptp.occurrence_of X28 X29) (tptp.occurrence_of X28 X30)) (= X29 X30))))) (let ((_let_22 (forall ((X14 $$unsorted) (X15 $$unsorted) (X16 $$unsorted) (X17 $$unsorted)) (=> (and (tptp.occurrence_of X15 X14) (tptp.arboreal X16) (tptp.arboreal X17) (tptp.subactivity_occurrence X16 X15) (tptp.subactivity_occurrence X17 X15)) (or (tptp.min_precedes X16 X17 X14) (tptp.min_precedes X17 X16 X14) (= X16 X17)))))) (let ((_let_23 (forall ((X8 $$unsorted) (X9 $$unsorted) (X10 $$unsorted) (X11 $$unsorted)) (=> (and (tptp.occurrence_of X9 X8) (tptp.subactivity_occurrence X10 X9) (tptp.leaf_occ X11 X9) (tptp.arboreal X10) (not (tptp.min_precedes X10 X11 X8))) (= X11 X10))))) (let ((_let_24 (forall ((b_X81 it_3_$$unsorted)) (or (not (io_tptp.min_precedes_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 b_X81 tptp.tptp0)) (not (io_tptp.min_precedes_7 b_X81 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 tptp.tptp0)))))) (let ((_let_25 (io_tptp.min_precedes_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_227 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 tptp.tptp0))) (let ((_let_26 (not _let_25))) (let ((_let_27 (io_tptp.min_precedes_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_227 tptp.tptp0))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_26))) (let ((_let_30 (io_tptp.min_precedes_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 tptp.tptp0))) (let ((_let_31 (and _let_30 _let_24))) (let ((_let_32 (io_tptp.next_subocc_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 tptp.tptp0))) (let ((_let_33 (= _let_32 _let_31))) (let ((_let_34 (forall ((b_X78 it_3_$$unsorted) (b_X79 it_3_$$unsorted) (X80 $$unsorted)) (= (io_tptp.next_subocc_16 b_X78 b_X79 X80) (and (io_tptp.min_precedes_7 b_X78 b_X79 X80) (forall ((b_X81 it_3_$$unsorted)) (or (not (io_tptp.min_precedes_7 b_X78 b_X81 X80)) (not (io_tptp.min_precedes_7 b_X81 b_X79 X80))))))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_16)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((X78 $$unsorted) (X79 $$unsorted) (X80 $$unsorted)) (= (tptp.next_subocc X78 X79 X80) (and (tptp.min_precedes X78 X79 X80) (forall ((X81 $$unsorted)) (or (not (tptp.min_precedes X78 X81 X80)) (not (tptp.min_precedes X81 X79 X80))))))) _let_34))))))) (let ((_let_36 (_let_34))) (let ((_let_37 ((io_tptp.next_subocc_16 b_X78 b_X79 X80)))) (let ((_let_38 (io_tptp.leaf_occ_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_39 (not _let_38))) (let ((_let_40 (not _let_32))) (let ((_let_41 (io_tptp.occurrence_of_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 tptp.tptp2))) (let ((_let_42 (not _let_41))) (let ((_let_43 (io_tptp.occurrence_of_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 tptp.tptp1))) (let ((_let_44 (not _let_43))) (let ((_let_45 (io_tptp.next_subocc_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 tptp.tptp0))) (let ((_let_46 (not _let_45))) (let ((_let_47 (io_tptp.occurrence_of_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 tptp.tptp4))) (let ((_let_48 (not _let_47))) (let ((_let_49 (io_tptp.root_occ_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_50 (not _let_49))) (let ((_let_51 (io_tptp.occurrence_of_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65 tptp.tptp3))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_52 _let_50 _let_48 _let_46 (and _let_44 _let_42) _let_40 _let_39))) (let ((_let_54 (forall ((b_X102 it_3_$$unsorted) (b_X103 it_3_$$unsorted) (b_X104 it_3_$$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X102 tptp.tptp3)) (not (io_tptp.root_occ_5 b_X102 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)) (not (io_tptp.occurrence_of_2 b_X103 tptp.tptp4)) (not (io_tptp.next_subocc_16 b_X102 b_X103 tptp.tptp0)) (and (not (io_tptp.occurrence_of_2 b_X104 tptp.tptp1)) (not (io_tptp.occurrence_of_2 b_X104 tptp.tptp2))) (not (io_tptp.next_subocc_16 b_X103 b_X104 tptp.tptp0)) (not (io_tptp.leaf_occ_6 b_X104 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)))))) (let ((_let_55 (not _let_53))) (let ((_let_56 (not _let_54))) (let ((_let_57 (io_tptp.occurrence_of_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 tptp.tptp0))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_56))) (let ((_let_60 (forall ((b_X101 it_3_$$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X101 tptp.tptp0)) (not (forall ((b_X102 it_3_$$unsorted) (b_X103 it_3_$$unsorted) (b_X104 it_3_$$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X102 tptp.tptp3)) (not (io_tptp.root_occ_5 b_X102 b_X101)) (not (io_tptp.occurrence_of_2 b_X103 tptp.tptp4)) (not (io_tptp.next_subocc_16 b_X102 b_X103 tptp.tptp0)) (and (not (io_tptp.occurrence_of_2 b_X104 tptp.tptp1)) (not (io_tptp.occurrence_of_2 b_X104 tptp.tptp2))) (not (io_tptp.next_subocc_16 b_X103 b_X104 tptp.tptp0)) (not (io_tptp.leaf_occ_6 b_X104 b_X101))))))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_14)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((X101 $$unsorted)) (or (not (tptp.occurrence_of X101 tptp.tptp0)) (not (forall ((X102 $$unsorted) (X103 $$unsorted) (X104 $$unsorted)) (or (not (tptp.occurrence_of X102 tptp.tptp3)) (not (tptp.root_occ X102 X101)) (not (tptp.occurrence_of X103 tptp.tptp4)) (not (tptp.next_subocc X102 X103 tptp.tptp0)) (and (not (tptp.occurrence_of X104 tptp.tptp1)) (not (tptp.occurrence_of X104 tptp.tptp2))) (not (tptp.next_subocc X103 X104 tptp.tptp0)) (not (tptp.leaf_occ X104 X101))))))) _let_60))))))) (let ((_let_62 (forall ((b_X106 it_3_$$unsorted) (b_X107 it_3_$$unsorted)) (or (not (io_tptp.leaf_occ_6 b_X107 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)) (and (io_tptp.occurrence_of_2 b_X107 tptp.tptp1) (not (forall ((b_X108 it_3_$$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X108 tptp.tptp2)) (not (io_tptp.subactivity_occurrence_4 b_X108 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)) (not (io_tptp.min_precedes_7 b_X106 b_X108 tptp.tptp0)))))) (and (io_tptp.occurrence_of_2 b_X107 tptp.tptp2) (not (forall ((b_X109 it_3_$$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X109 tptp.tptp1)) (not (io_tptp.subactivity_occurrence_4 b_X109 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)) (not (io_tptp.min_precedes_7 b_X106 b_X109 tptp.tptp0)))))))))) (let ((_let_63 (not _let_62))) (let ((_let_64 (or _let_58 _let_63))) (let ((_let_65 (forall ((b_X105 it_3_$$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X105 tptp.tptp0)) (not (forall ((b_X106 it_3_$$unsorted) (b_X107 it_3_$$unsorted)) (or (not (io_tptp.leaf_occ_6 b_X107 b_X105)) (and (io_tptp.occurrence_of_2 b_X107 tptp.tptp1) (not (forall ((b_X108 it_3_$$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X108 tptp.tptp2)) (not (io_tptp.subactivity_occurrence_4 b_X108 b_X105)) (not (io_tptp.min_precedes_7 b_X106 b_X108 tptp.tptp0)))))) (and (io_tptp.occurrence_of_2 b_X107 tptp.tptp2) (not (forall ((b_X109 it_3_$$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X109 tptp.tptp1)) (not (io_tptp.subactivity_occurrence_4 b_X109 b_X105)) (not (io_tptp.min_precedes_7 b_X106 b_X109 tptp.tptp0))))))))))))) (let ((_let_66 (not _let_64))) (let ((_let_67 (not _let_65))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((X105 $$unsorted)) (or (not (tptp.occurrence_of X105 tptp.tptp0)) (not (forall ((X106 $$unsorted) (X107 $$unsorted)) (or (not (tptp.leaf_occ X107 X105)) (and (tptp.occurrence_of X107 tptp.tptp1) (not (forall ((X108 $$unsorted)) (or (not (tptp.occurrence_of X108 tptp.tptp2)) (not (tptp.subactivity_occurrence X108 X105)) (not (tptp.min_precedes X106 X108 tptp.tptp0)))))) (and (tptp.occurrence_of X107 tptp.tptp2) (not (forall ((X109 $$unsorted)) (or (not (tptp.occurrence_of X109 tptp.tptp1)) (not (tptp.subactivity_occurrence X109 X105)) (not (tptp.min_precedes X106 X109 tptp.tptp0)))))))))))) _let_67))))))) (let ((_let_69 (or))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_68) :args (_let_67))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_67) _let_65))) (REFL :args (_let_66)) :args _let_69)) _let_68 :args (_let_66 true _let_65)))) (let ((_let_71 (REFL :args (_let_64)))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_64 0)) (CONG _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_57))) :args _let_69)) :args ((or _let_57 _let_64))) _let_70 :args (_let_57 true _let_64)))) (let ((_let_73 (_let_56))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_73)) :args _let_73)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_54))) (REFL :args (_let_55)) :args _let_69)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_58 _let_56 (not _let_59)))) _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (io_tptp.occurrence_of_2 b_X101 tptp.tptp0) false))))) :args (_let_60))) _let_61 :args (_let_59 false _let_60)) :args (_let_56 false _let_57 false _let_59)) :args (_let_55 true _let_54)))) (let ((_let_75 (REFL :args (_let_53)))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_33)) :args ((or _let_40 _let_31 (not _let_33)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 5)) (CONG _let_75 (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_32))) :args _let_69)) :args ((or _let_32 _let_53))) _let_74 :args (_let_32 true _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_36)) _let_35 :args (_let_33 false _let_34)) :args (_let_31 false _let_32 false _let_33)))) (let ((_let_77 (not _let_31))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_31 1)) :args ((or _let_24 _let_77))) _let_76 :args (_let_24 false _let_31)))) (let ((_let_79 (not _let_29))) (let ((_let_80 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_227))) (let ((_let_81 (io_tptp.min_precedes_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_227 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 tptp.tptp0))) (let ((_let_82 (io_tptp.subactivity_occurrence_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_83 (not _let_82))) (let ((_let_84 (io_tptp.subactivity_occurrence_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_227 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_85 (not _let_84))) (let ((_let_86 (io_tptp.arboreal_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66))) (let ((_let_87 (not _let_86))) (let ((_let_88 (io_tptp.arboreal_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_227))) (let ((_let_89 (not _let_88))) (let ((_let_90 (or _let_58 _let_89 _let_87 _let_85 _let_83 _let_81 _let_27 _let_80))) (let ((_let_91 (forall ((X14 $$unsorted) (b_X15 it_3_$$unsorted) (b_X16 it_3_$$unsorted) (b_X17 it_3_$$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X15 X14)) (not (io_tptp.arboreal_8 b_X16)) (not (io_tptp.arboreal_8 b_X17)) (not (io_tptp.subactivity_occurrence_4 b_X16 b_X15)) (not (io_tptp.subactivity_occurrence_4 b_X17 b_X15)) (io_tptp.min_precedes_7 b_X16 b_X17 X14) (io_tptp.min_precedes_7 b_X17 b_X16 X14) (= b_X16 b_X17))))) (let ((_let_92 (EQ_RESOLVE (ASSUME :args (_let_22)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((X14 $$unsorted) (X15 $$unsorted) (X16 $$unsorted) (X17 $$unsorted)) (or (not (tptp.occurrence_of X15 X14)) (not (tptp.arboreal X16)) (not (tptp.arboreal X17)) (not (tptp.subactivity_occurrence X16 X15)) (not (tptp.subactivity_occurrence X17 X15)) (tptp.min_precedes X16 X17 X14) (tptp.min_precedes X17 X16 X14) (= X16 X17))) _let_91))))))) (let ((_let_93 (_let_91))) (let ((_let_94 (not _let_81))) (let ((_let_95 (io_tptp.min_precedes_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_227 tptp.tptp0))) (let ((_let_96 (not _let_95))) (let ((_let_97 (or _let_96 _let_94))) (let ((_let_98 (forall ((b_X81 it_3_$$unsorted)) (or (not (io_tptp.min_precedes_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65 b_X81 tptp.tptp0)) (not (io_tptp.min_precedes_7 b_X81 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 tptp.tptp0)))))) (let ((_let_99 (and (io_tptp.min_precedes_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 tptp.tptp0) _let_98))) (let ((_let_100 (= _let_45 _let_99))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_99 1)) :args ((or _let_98 (not _let_99)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_100)) :args ((or _let_46 _let_99 (not _let_100)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 3)) (CONG _let_75 (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) :args _let_69)) :args ((or _let_45 _let_53))) _let_74 :args (_let_45 true _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_36)) _let_35 :args (_let_100 false _let_34)) :args (_let_99 false _let_45 false _let_100)) :args (_let_98 false _let_99)))) (let ((_let_102 (_let_98))) (let ((_let_103 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_227 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_104 (ASSUME :args _let_102))) (let ((_let_105 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_227))) (let ((_let_106 (io_tptp.min_precedes_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_227 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65 tptp.tptp0))) (let ((_let_107 (io_tptp.subactivity_occurrence_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_108 (not _let_107))) (let ((_let_109 (io_tptp.arboreal_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65))) (let ((_let_110 (not _let_109))) (let ((_let_111 (or _let_58 _let_110 _let_89 _let_108 _let_85 _let_95 _let_106 _let_105))) (let ((_let_112 (io_tptp.occurrence_of_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65 tptp.tptp1))) (let ((_let_113 (io_tptp.occurrence_of_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_227 tptp.tptp1))) (let ((_let_114 (not _let_105))) (let ((_let_115 (not _let_112))) (let ((_let_116 (or _let_52 _let_115 _let_4))) (let ((_let_117 (forall ((b_X28 it_3_$$unsorted) (X29 $$unsorted) (X30 $$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X28 X29)) (not (io_tptp.occurrence_of_2 b_X28 X30)) (= X29 X30))))) (let ((_let_118 (EQ_RESOLVE (ASSUME :args (_let_21)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((X28 $$unsorted) (X29 $$unsorted) (X30 $$unsorted)) (or (not (tptp.occurrence_of X28 X29)) (not (tptp.occurrence_of X28 X30)) (= X29 X30))) _let_117))))))) (let ((_let_119 (_let_117))) (let ((_let_120 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 0)) (CONG _let_75 (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_51))) :args _let_69)) :args ((or _let_51 _let_53))) _let_74 :args (_let_51 true _let_53)))) (let ((_let_121 (not _let_113))) (let ((_let_122 (or _let_121 _let_85 (not (io_tptp.min_precedes_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_227 tptp.tptp0))))) (let ((_let_123 (forall ((b_X109 it_3_$$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X109 tptp.tptp1)) (not (io_tptp.subactivity_occurrence_4 b_X109 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)) (not (io_tptp.min_precedes_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 b_X109 tptp.tptp0)))))) (let ((_let_124 (not _let_122))) (let ((_let_125 (not _let_123))) (let ((_let_126 (and _let_41 _let_125))) (let ((_let_127 (forall ((b_X108 it_3_$$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X108 tptp.tptp2)) (not (io_tptp.subactivity_occurrence_4 b_X108 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)) (not (io_tptp.min_precedes_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 b_X108 tptp.tptp0)))))) (let ((_let_128 (not _let_127))) (let ((_let_129 (and _let_43 _let_128))) (let ((_let_130 (or _let_39 _let_129 _let_126))) (let ((_let_131 (_let_62))) (let ((_let_132 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_131) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_131)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_64 1)) (CONG _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_62))) :args _let_69)) :args ((or _let_62 _let_64))) _let_70 :args (_let_62 true _let_64)) :args (_let_130 false _let_62)))) (let ((_let_133 (not _let_129))) (let ((_let_134 (or _let_44 _let_42 _let_2))) (let ((_let_135 (io_tptp.min_precedes_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_215 tptp.tptp0))) (let ((_let_136 (not _let_135))) (let ((_let_137 (io_tptp.subactivity_occurrence_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_215 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_138 (not _let_137))) (let ((_let_139 (io_tptp.occurrence_of_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_215 tptp.tptp2))) (let ((_let_140 (not _let_139))) (let ((_let_141 (or _let_140 _let_138 _let_136))) (let ((_let_142 (io_tptp.occurrence_of_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 tptp.tptp2))) (let ((_let_143 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_215))) (let ((_let_144 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_215))) (let ((_let_145 (io_tptp.arboreal_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_215))) (let ((_let_146 (= _let_11 _let_145))) (let ((_let_147 (or _let_140 _let_146))) (let ((_let_148 (io_tptp.root_occ_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_215 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_149 (not _let_148))) (let ((_let_150 (or _let_58 _let_149 _let_136))) (let ((_let_151 (forall ((X60 $$unsorted)) (or (not (io_tptp.occurrence_of_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 X60)) (not (io_tptp.root_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_215 X60)))))) (let ((_let_152 (not _let_151))) (let ((_let_153 (and _let_137 _let_152))) (let ((_let_154 (= _let_148 _let_153))) (let ((_let_155 (io_tptp.min_precedes_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_215 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 tptp.tptp0))) (let ((_let_156 (not _let_145))) (let ((_let_157 (or _let_58 _let_138 _let_39 _let_156 _let_155 _let_144))) (let ((_let_158 (not _let_155))) (let ((_let_159 (io_tptp.min_precedes_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_215 tptp.tptp0))) (let ((_let_160 (not _let_159))) (let ((_let_161 (or _let_160 _let_158))) (let ((_let_162 (io_tptp.root_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_215 tptp.tptp0))) (let ((_let_163 (not _let_162))) (let ((_let_164 (or _let_58 _let_163))) (let ((_let_165 (io_tptp.min_precedes_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_215 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 tptp.tptp0))) (let ((_let_166 (or _let_58 _let_87 _let_156 _let_83 _let_138 _let_159 _let_165 _let_143))) (let ((_let_167 (not _let_165))) (let ((_let_168 (io_tptp.min_precedes_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_215 tptp.tptp0))) (let ((_let_169 (not _let_168))) (let ((_let_170 (or _let_169 _let_167))) (let ((_let_171 (io_tptp.min_precedes_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_215 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65 tptp.tptp0))) (let ((_let_172 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_215))) (let ((_let_173 (or _let_58 _let_110 _let_156 _let_108 _let_138 _let_168 _let_171 _let_172))) (let ((_let_174 (io_tptp.root_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_71))) (let ((_let_175 (= tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_71))) (let ((_let_176 (not _let_126))) (let ((_let_177 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 6)) (CONG _let_75 (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_38))) :args _let_69)) :args ((or _let_38 _let_53))) _let_74 :args (_let_38 true _let_53)))) (let ((_let_178 (REORDERING (CNF_OR_POS :args (_let_130)) :args ((or _let_39 _let_129 _let_126 (not _let_130)))))) (let ((_let_179 (_let_128))) (let ((_let_180 (REFL :args (_let_141)))) (let ((_let_181 (not _let_142))) (let ((_let_182 (or _let_48 _let_181 _let_6))) (let ((_let_183 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 2)) (CONG _let_75 (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_47))) :args _let_69)) :args ((or _let_47 _let_53))) _let_74 :args (_let_47 true _let_53)))) (let ((_let_184 (REFL :args (_let_140)))) (let ((_let_185 (ASSUME :args (_let_181)))) (let ((_let_186 (APPLY_UF io_tptp.occurrence_of_2))) (let ((_let_187 (REFL :args (tptp.tptp2)))) (let ((_let_188 (ASSUME :args (_let_143)))) (let ((_let_189 (ASSUME :args (_let_139)))) (let ((_let_190 (SYMM (TRUE_INTRO _let_189)))) (let ((_let_191 (ASSUME :args (_let_42)))) (let ((_let_192 (ASSUME :args (_let_144)))) (let ((_let_193 (forall ((b_X51 it_3_$$unsorted) (X52 $$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X51 X52)) (= (tptp.atomic X52) (io_tptp.arboreal_8 b_X51)))))) (let ((_let_194 (EQ_RESOLVE (ASSUME :args (_let_19)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((X51 $$unsorted) (X52 $$unsorted)) (or (not (tptp.occurrence_of X51 X52)) (= (tptp.arboreal X51) (tptp.atomic X52)))) _let_193))))))) (let ((_let_195 (_let_193))) (let ((_let_196 (forall ((b_X35 it_3_$$unsorted) (b_X36 it_3_$$unsorted) (X37 $$unsorted) (b_BOUND_VARIABLE_1189 it_3_$$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X35 X37)) (not (io_tptp.root_occ_5 b_X36 b_X35)) (not (io_tptp.min_precedes_7 b_BOUND_VARIABLE_1189 b_X36 X37)))))) (let ((_let_197 (EQ_RESOLVE (ASSUME :args (_let_20)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((X35 $$unsorted) (X36 $$unsorted) (X37 $$unsorted) (BOUND_VARIABLE_1189 $$unsorted)) (or (not (tptp.occurrence_of X35 X37)) (not (tptp.root_occ X36 X35)) (not (tptp.min_precedes BOUND_VARIABLE_1189 X36 X37)))) _let_196))))))) (let ((_let_198 (_let_196))) (let ((_let_199 (forall ((b_X58 it_3_$$unsorted) (b_X59 it_3_$$unsorted)) (= (io_tptp.root_occ_5 b_X58 b_X59) (and (io_tptp.subactivity_occurrence_4 b_X58 b_X59) (not (forall ((X60 $$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X59 X60)) (not (io_tptp.root_3 b_X58 X60)))))))))) (let ((_let_200 (EQ_RESOLVE (ASSUME :args (_let_17)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((X58 $$unsorted) (X59 $$unsorted)) (= (tptp.root_occ X58 X59) (and (tptp.subactivity_occurrence X58 X59) (not (forall ((X60 $$unsorted)) (or (not (tptp.occurrence_of X59 X60)) (not (tptp.root X58 X60)))))))) _let_199))))))) (let ((_let_201 (_let_199))) (let ((_let_202 (forall ((X8 $$unsorted) (b_X9 it_3_$$unsorted) (b_X10 it_3_$$unsorted) (b_X11 it_3_$$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X9 X8)) (not (io_tptp.subactivity_occurrence_4 b_X10 b_X9)) (not (io_tptp.leaf_occ_6 b_X11 b_X9)) (not (io_tptp.arboreal_8 b_X10)) (io_tptp.min_precedes_7 b_X10 b_X11 X8) (= b_X10 b_X11))))) (let ((_let_203 (EQ_RESOLVE (ASSUME :args (_let_23)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((X8 $$unsorted) (X9 $$unsorted) (X10 $$unsorted) (X11 $$unsorted)) (or (not (tptp.occurrence_of X9 X8)) (not (tptp.subactivity_occurrence X10 X9)) (not (tptp.leaf_occ X11 X9)) (not (tptp.arboreal X10)) (tptp.min_precedes X10 X11 X8) (= X10 X11))) _let_202))))))) (let ((_let_204 (_let_202))) (let ((_let_205 (_let_153))) (let ((_let_206 (_let_24))) (let ((_let_207 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_215 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_208 (ASSUME :args _let_206))) (let ((_let_209 (_let_151))) (let ((_let_210 (= _let_13 _let_86))) (let ((_let_211 (or _let_48 _let_210))) (let ((_let_212 ((not (= (io_tptp.occurrence_of_2 b_X51 X52) false))))) (let ((_let_213 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_210)) :args ((or (not _let_13) _let_86 (not _let_210)))) (ASSUME :args (_let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_211)) :args ((or _let_48 _let_210 (not _let_211)))) _let_183 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_194 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 tptp.tptp4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_212)) :args _let_195)) _let_194 :args (_let_211 false _let_193)) :args (_let_210 false _let_47 false _let_211)) :args (_let_86 false _let_13 false _let_210)))) (let ((_let_214 (io_tptp.subactivity_occurrence_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_215 (not _let_214))) (let ((_let_216 (not _let_30))) (let ((_let_217 (or _let_216 _let_58 _let_215 _let_82))) (let ((_let_218 (forall ((b_X82 it_3_$$unsorted) (b_X83 it_3_$$unsorted) (X84 $$unsorted) (b_X85 it_3_$$unsorted)) (or (not (io_tptp.min_precedes_7 b_X82 b_X83 X84)) (not (io_tptp.occurrence_of_2 b_X85 X84)) (not (io_tptp.subactivity_occurrence_4 b_X83 b_X85)) (io_tptp.subactivity_occurrence_4 b_X82 b_X85))))) (let ((_let_219 (EQ_RESOLVE (ASSUME :args (_let_15)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((X82 $$unsorted) (X83 $$unsorted) (X84 $$unsorted) (X85 $$unsorted)) (or (not (tptp.min_precedes X82 X83 X84)) (not (tptp.occurrence_of X85 X84)) (not (tptp.subactivity_occurrence X83 X85)) (tptp.subactivity_occurrence X82 X85))) _let_218))))))) (let ((_let_220 (and _let_214 (not (forall ((X57 $$unsorted)) (or (not (io_tptp.occurrence_of_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 X57)) (not (io_tptp.leaf_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 X57)))))))) (let ((_let_221 (= _let_38 _let_220))) (let ((_let_222 (forall ((b_X55 it_3_$$unsorted) (b_X56 it_3_$$unsorted)) (= (io_tptp.leaf_occ_6 b_X55 b_X56) (and (io_tptp.subactivity_occurrence_4 b_X55 b_X56) (not (forall ((X57 $$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X56 X57)) (not (io_tptp.leaf_12 b_X55 X57)))))))))) (let ((_let_223 (EQ_RESOLVE (ASSUME :args (_let_18)) (TRANS (MACRO_SR_EQ_INTRO :args 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(CNF_AND_POS :args (_let_129 0)) :args ((or _let_43 _let_133))) _let_251 :args (_let_133 true _let_43)) _let_132 :args (_let_126 false _let_38 true _let_129 false _let_130)) :args (_let_125 false _let_126)) :args (_let_124 true _let_123)))) (let ((_let_254 (REFL :args (_let_122)))) (let ((_let_255 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_122 0)) (CONG _let_254 (MACRO_SR_PRED_INTRO :args ((= (not _let_121) _let_113))) :args _let_69)) :args ((or _let_113 _let_122))) _let_253 :args (_let_113 true _let_122)))) (let ((_let_256 (REFL :args (_let_121)))) (let ((_let_257 (ASSUME :args (_let_115)))) (let ((_let_258 (REFL :args (tptp.tptp1)))) (let ((_let_259 (ASSUME :args (_let_105)))) (let ((_let_260 (ASSUME :args (_let_113)))) (let ((_let_261 (SYMM (TRUE_INTRO _let_260)))) (let ((_let_262 (not _let_106))) (let ((_let_263 (or _let_58 _let_50 _let_262))) (let ((_let_264 (= _let_12 _let_88))) (let ((_let_265 (or _let_121 _let_264))) (let ((_let_266 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_264)) :args ((or (not _let_12) _let_88 (not _let_264)))) (ASSUME :args (_let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_265)) :args ((or _let_121 _let_264 (not _let_265)))) _let_255 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_194 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_227 tptp.tptp1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_195)) _let_194 :args (_let_265 false _let_193)) :args (_let_264 false _let_113 false _let_265)) :args (_let_88 false _let_12 false _let_264)))) (let ((_let_267 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_122 1)) (CONG _let_254 (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_84))) :args _let_69)) :args ((or _let_84 _let_122))) _let_253 :args (_let_84 true _let_122)))) (let ((_let_268 (io_tptp.occurrence_of_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 tptp.tptp1))) (let ((_let_269 (not _let_80))) (let ((_let_270 (not _let_268))) (let ((_let_271 (or _let_48 _let_270 _let_8))) (let ((_let_272 (ASSUME :args (_let_270)))) (let ((_let_273 (ASSUME :args (_let_80)))) (let ((_let_274 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_227))) (let ((_let_275 (or _let_58 _let_85 _let_39 _let_89 _let_25 _let_274))) (let ((_let_276 (not _let_274))) (let ((_let_277 (ASSUME :args (_let_44)))) (let ((_let_278 (ASSUME :args (_let_274)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_208 :args _let_103) :args _let_206)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_26 _let_28 _let_79))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_275)) :args ((or _let_58 _let_39 _let_85 _let_274 _let_89 _let_25 (not _let_275)))) _let_72 _let_177 _let_267 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_277 _let_278 _let_260) :args (_let_44 _let_113 _let_274)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_261 (CONG (SYMM _let_278) _let_258 :args _let_186) (FALSE_INTRO _let_277))) :args (_let_44 _let_274 _let_113)) :args ((not (and _let_44 _let_113 _let_274)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))) _let_256 (REFL :args (_let_276)) :args _let_69)) _let_255 _let_251 :args (_let_276 false _let_113 true _let_43)) _let_266 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_203 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_227 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_204))) _let_203 :args (_let_275 false _let_202)) :args (_let_25 false _let_57 false _let_38 false _let_84 true _let_274 false _let_88 false _let_275)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_58 _let_87 _let_83 _let_85 _let_80 _let_89 _let_81 _let_27 (not _let_90)))) _let_72 _let_213 _let_224 _let_267 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_272 _let_273 _let_260) :args (_let_270 _let_113 _let_80)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_261 (CONG (SYMM _let_273) _let_258 :args _let_186) (FALSE_INTRO _let_272))) :args (_let_270 _let_80 _let_113)) :args ((not (and _let_270 _let_113 _let_80)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_270) _let_268))) _let_256 (REFL :args (_let_269)) :args _let_69)) _let_255 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_271)) :args ((or _let_8 _let_48 _let_270 (not _let_271)))) (ASSUME :args (_let_9)) _let_183 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 tptp.tptp4 tptp.tptp1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_119)) _let_118 :args (_let_271 false _let_117)) :args (_let_270 true _let_8 false _let_47 false _let_271)) :args (_let_269 false _let_113 true _let_268)) _let_266 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_96 _let_94 (not _let_97)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_58 _let_110 _let_108 _let_85 _let_89 _let_95 _let_106 _let_105 (not _let_111)))) _let_72 _let_227 _let_235 _let_267 _let_266 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_263)) :args ((or _let_58 _let_50 _let_262 (not _let_263)))) _let_72 _let_232 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_197 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65 tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_227 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_198)) _let_197 :args (_let_263 false _let_196)) :args (_let_262 false _let_57 false _let_49 false _let_263)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_257 _let_259 _let_260) :args (_let_115 _let_113 _let_105)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_261 (CONG (SYMM _let_259) _let_258 :args _let_186) (FALSE_INTRO _let_257))) :args (_let_115 _let_105 _let_113)) :args ((not (and _let_115 _let_113 _let_105)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_115) _let_112))) _let_256 (REFL :args (_let_114)) :args _let_69)) _let_255 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_116)) :args ((or _let_4 _let_52 _let_115 (not _let_116)))) (ASSUME :args (_let_5)) _let_120 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65 tptp.tptp3 tptp.tptp1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_119)) _let_118 :args (_let_116 false _let_117)) :args (_let_115 true _let_4 false _let_51 false _let_116)) :args (_let_114 false _let_113 true _let_112)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_227 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_93)) _let_92 :args (_let_111 false _let_91)) :args (_let_95 false _let_57 false _let_109 false _let_107 false _let_84 false _let_88 true _let_106 true _let_105 false _let_111)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args _let_103) :args _let_102)) _let_101 :args (_let_97 false _let_98)) :args (_let_94 false _let_95 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_92 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_227 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_93))) _let_92 :args (_let_90 false _let_91)) :args (_let_27 false _let_57 false _let_86 false _let_82 false _let_84 true _let_80 false _let_88 true _let_81 false _let_90)) :args (_let_79 false _let_25 false _let_27)) _let_78 :args (false true _let_29 false _let_24)) :args ((forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (and (tptp.occurrence_of X1 X0) (not (tptp.atomic X0))) (exists ((X2 $$unsorted)) (and (tptp.root X2 X0) (tptp.subactivity_occurrence X2 X1))))) (forall ((X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted)) (=> (and (tptp.occurrence_of X4 X3) (tptp.root_occ X6 X4) (tptp.leaf_occ X7 X4) (tptp.subactivity_occurrence X5 X4) (tptp.min_precedes X6 X5 X3) (not (= X5 X7))) (tptp.min_precedes X5 X7 X3))) _let_23 (forall ((X12 $$unsorted) (X13 $$unsorted)) (=> (tptp.occurrence_of X13 X12) (and (tptp.activity X12) (tptp.activity_occurrence X13)))) _let_22 (forall ((X18 $$unsorted) (X19 $$unsorted)) (=> (tptp.root X19 X18) (exists ((X20 $$unsorted)) (and (tptp.subactivity X20 X18) (tptp.atocc X19 X20))))) (forall ((X21 $$unsorted) (X22 $$unsorted) (X23 $$unsorted)) (=> (tptp.min_precedes X22 X23 X21) (exists ((X24 $$unsorted)) (and (tptp.occurrence_of X24 X21) (tptp.subactivity_occurrence X22 X24) (tptp.subactivity_occurrence X23 X24))))) (forall ((X25 $$unsorted) (X26 $$unsorted)) (=> (and (tptp.leaf X25 X26) (not (tptp.atomic X26))) (exists ((X27 $$unsorted)) (and (tptp.occurrence_of X27 X26) (tptp.leaf_occ X25 X27))))) _let_21 (forall ((X31 $$unsorted) (X32 $$unsorted) (X33 $$unsorted)) (=> (and (tptp.occurrence_of X31 X33) (tptp.leaf_occ X32 X31)) (not (exists ((X34 $$unsorted)) (tptp.min_precedes X32 X34 X33))))) _let_20 (forall ((X39 $$unsorted) (X40 $$unsorted)) (=> (tptp.subactivity_occurrence X39 X40) (and (tptp.activity_occurrence X39) (tptp.activity_occurrence X40)))) (forall ((X41 $$unsorted)) (=> (tptp.activity_occurrence X41) (exists ((X42 $$unsorted)) (and (tptp.activity X42) (tptp.occurrence_of X41 X42))))) (forall ((X43 $$unsorted)) (=> (tptp.legal X43) (tptp.arboreal X43))) (forall ((X44 $$unsorted) (X45 $$unsorted)) (= (tptp.atocc X44 X45) (exists ((X46 $$unsorted)) (and (tptp.subactivity X45 X46) (tptp.atomic X46) (tptp.occurrence_of X44 X46))))) (forall ((X47 $$unsorted) (X48 $$unsorted)) (= (tptp.leaf X47 X48) (and (or (tptp.root X47 X48) (exists ((X49 $$unsorted)) (tptp.min_precedes X49 X47 X48))) (not (exists ((X50 $$unsorted)) (tptp.min_precedes X47 X50 X48)))))) _let_19 (forall ((X53 $$unsorted) (X54 $$unsorted)) (=> (tptp.root X53 X54) (tptp.legal X53))) _let_18 _let_17 (forall ((X61 $$unsorted) (X62 $$unsorted)) (=> (tptp.earlier X61 X62) (not (tptp.earlier X62 X61)))) (forall ((X63 $$unsorted) (X64 $$unsorted)) (= (tptp.precedes X63 X64) (and (tptp.earlier X63 X64) (tptp.legal X64)))) (forall ((X65 $$unsorted) (X66 $$unsorted) (X67 $$unsorted)) (=> (tptp.min_precedes X65 X66 X67) (not (tptp.root X66 X67)))) (forall ((X68 $$unsorted) (X69 $$unsorted) (X70 $$unsorted)) (=> (tptp.min_precedes X68 X69 X70) (exists ((X71 $$unsorted)) (and (tptp.root X71 X70) (tptp.min_precedes X71 X69 X70))))) (forall ((X72 $$unsorted) (X73 $$unsorted) (X74 $$unsorted)) (=> (tptp.min_precedes X72 X73 X74) (tptp.precedes X72 X73))) (forall ((X75 $$unsorted) (X76 $$unsorted) (X77 $$unsorted)) (=> (tptp.next_subocc X75 X76 X77) (and (tptp.arboreal X75) (tptp.arboreal X76)))) _let_16 _let_15 (forall ((X86 $$unsorted) (X87 $$unsorted) (X88 $$unsorted) (X89 $$unsorted)) (=> (and (tptp.occurrence_of X88 X89) (not (tptp.atomic X89)) (tptp.leaf_occ X86 X88) (tptp.leaf_occ X87 X88)) (= X86 X87))) (forall ((X90 $$unsorted) (X91 $$unsorted) (X92 $$unsorted) (X93 $$unsorted)) (=> (and (tptp.occurrence_of X92 X93) (tptp.root_occ X90 X92) (tptp.root_occ X91 X92)) (= X90 X91))) (forall ((X94 $$unsorted) (X95 $$unsorted) (X96 $$unsorted)) (=> (and (tptp.earlier X94 X95) (tptp.earlier X95 X96)) (tptp.earlier X94 X96))) (forall ((X97 $$unsorted) (X98 $$unsorted) (X99 $$unsorted) (X100 $$unsorted)) (=> (and (tptp.min_precedes X97 X98 X100) (tptp.min_precedes X97 X99 X100) (tptp.precedes X98 X99)) (tptp.min_precedes X98 X99 X100))) _let_14 (tptp.activity tptp.tptp0) (not (tptp.atomic tptp.tptp0)) _let_13 _let_12 _let_11 _let_10 (not (= tptp.tptp4 tptp.tptp3)) _let_9 _let_7 _let_5 (not (= tptp.tptp3 tptp.tptp2)) _let_3 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 64.87/65.18 )
% 64.87/65.18 % SZS output end Proof for PRO011+4
% 64.87/65.18 % cvc5---1.0.5 exiting
% 64.87/65.18 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------