TSTP Solution File: PRO002+2 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : PRO002+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n028.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 13:06:15 EDT 2023
% Result : Theorem 31.57s 26.87s
% Output : Proof 31.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PRO002+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n028.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 : Mon Aug 28 19:47:25 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 31.57/26.87 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.jDgMFSmMpE/cvc5---1.0.5_6293.p...
% 31.57/26.87 ------- get file name : TPTP file name is PRO002+2
% 31.57/26.87 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_6293.smt2...
% 31.57/26.87 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 31.57/26.87 --- Run --no-e-matching --full-saturate-quant at 5...
% 31.57/26.87 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 31.57/26.87 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 31.57/26.87 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 31.57/26.87 % SZS status Theorem for PRO002+2
% 31.57/26.87 % SZS output start Proof for PRO002+2
% 31.57/26.87 (
% 31.57/26.87 (let ((_let_1 (not (not (exists ((X127 $$unsorted) (X128 $$unsorted) (X129 $$unsorted)) (and (tptp.tptp1 X127 tptp.tptp0 X128) (tptp.occurrence_of X129 X127))))))) (let ((_let_2 (forall ((X117 $$unsorted) (X118 $$unsorted) (X119 $$unsorted) (X120 $$unsorted)) (=> (and (tptp.tptp1 X117 X118 X119) (tptp.occurrence_of X120 X117)) (exists ((X121 $$unsorted) (X122 $$unsorted) (X123 $$unsorted) (X124 $$unsorted)) (and (tptp.send_message X121 X122 X123 X119 X118) (tptp.occurrence_of X124 X121) (tptp.root_occ X124 X120))))))) (let ((_let_3 (forall ((X114 $$unsorted) (X115 $$unsorted) (X116 $$unsorted)) (=> (tptp.tptp1 X114 X115 X116) (and (tptp.activity X114) (not (tptp.atomic X114)) (not (tptp.atomic X115)) (tptp.root X116 X115)))))) (let ((_let_4 (forall ((X108 $$unsorted) (X109 $$unsorted) (X110 $$unsorted) (X111 $$unsorted) (X112 $$unsorted) (X113 $$unsorted)) (=> (and (tptp.send_message X108 X109 X110 X111 X112) (tptp.occurrence_of X113 X108)) (tptp.min_precedes X111 X113 X112))))) (let ((_let_5 (forall ((X103 $$unsorted) (X104 $$unsorted) (X105 $$unsorted) (X106 $$unsorted) (X107 $$unsorted)) (=> (tptp.send_message X103 X104 X105 X106 X107) (and (not (= X103 tptp.tptp4)) (not (= X103 tptp.tptp3)) (not (= X103 tptp.tptp2))))))) (let ((_let_6 (forall ((X98 $$unsorted) (X99 $$unsorted) (X100 $$unsorted) (X101 $$unsorted) (X102 $$unsorted)) (=> (tptp.send_message X98 X99 X100 X101 X102) (and (tptp.activity X98) (tptp.atomic X98) (tptp.root X99 X100) (tptp.root X101 X102)))))) (let ((_let_7 (not (tptp.atomic tptp.tptp0)))) (let ((_let_8 (forall ((X95 $$unsorted)) (=> (tptp.occurrence_of X95 tptp.tptp0) (exists ((X96 $$unsorted) (X97 $$unsorted)) (and (tptp.occurrence_of X96 tptp.tptp4) (tptp.root_occ X96 X95) (or (tptp.occurrence_of X97 tptp.tptp3) (tptp.occurrence_of X97 tptp.tptp2)) (tptp.leaf_occ X97 X95) (tptp.next_subocc X96 X97 tptp.tptp0))))))) (let ((_let_9 (forall ((X85 $$unsorted) (X86 $$unsorted) (X87 $$unsorted) (X88 $$unsorted)) (=> (and (tptp.occurrence_of X86 X85) (tptp.arboreal X87) (tptp.arboreal X88) (tptp.subactivity_occurrence X87 X86) (tptp.subactivity_occurrence X88 X86)) (or (tptp.min_precedes X87 X88 X85) (tptp.min_precedes X88 X87 X85) (= X87 X88)))))) (let ((_let_10 (forall ((X70 $$unsorted) (X71 $$unsorted) (X72 $$unsorted)) (=> (tptp.min_precedes X71 X72 X70) (exists ((X73 $$unsorted)) (and (tptp.occurrence_of X73 X70) (tptp.subactivity_occurrence X71 X73) (tptp.subactivity_occurrence X72 X73))))))) (let ((_let_11 (forall ((X64 $$unsorted) (X65 $$unsorted) (X66 $$unsorted)) (=> (and (tptp.occurrence_of X64 X65) (tptp.occurrence_of X64 X66)) (= X65 X66))))) (let ((_let_12 (forall ((X60 $$unsorted) (X61 $$unsorted) (X62 $$unsorted)) (=> (and (tptp.occurrence_of X60 X62) (tptp.leaf_occ X61 X60)) (not (exists ((X63 $$unsorted)) (tptp.min_precedes X61 X63 X62))))))) (let ((_let_13 (forall ((X40 $$unsorted) (X41 $$unsorted)) (=> (tptp.occurrence_of X40 X41) (= (tptp.arboreal X40) (tptp.atomic X41)))))) (let ((_let_14 (forall ((X35 $$unsorted) (X36 $$unsorted)) (= (tptp.leaf_occ X35 X36) (exists ((X37 $$unsorted)) (and (tptp.occurrence_of X36 X37) (tptp.subactivity_occurrence X35 X36) (tptp.leaf X35 X37))))))) (let ((_let_15 (forall ((X32 $$unsorted) (X33 $$unsorted)) (= (tptp.root_occ X32 X33) (exists ((X34 $$unsorted)) (and (tptp.occurrence_of X33 X34) (tptp.subactivity_occurrence X32 X33) (tptp.root X32 X34))))))) (let ((_let_16 (forall ((X19 $$unsorted) (X20 $$unsorted) (X21 $$unsorted)) (=> (tptp.next_subocc X19 X20 X21) (and (tptp.arboreal X19) (tptp.arboreal X20)))))) (let ((_let_17 (forall ((X15 $$unsorted) (X16 $$unsorted) (X17 $$unsorted)) (= (tptp.next_subocc X15 X16 X17) (and (tptp.min_precedes X15 X16 X17) (not (exists ((X18 $$unsorted)) (and (tptp.min_precedes X15 X18 X17) (tptp.min_precedes X18 X16 X17))))))))) (let ((_let_18 (forall ((X7 $$unsorted) (X8 $$unsorted) (X9 $$unsorted) (X10 $$unsorted)) (=> (and (tptp.occurrence_of X9 X10) (tptp.root_occ X7 X9) (tptp.root_occ X8 X9)) (= X7 X8))))) (let ((_let_19 (forall ((X60 $$unsorted) (X61 $$unsorted) (X62 $$unsorted) (BOUND_VARIABLE_1292 $$unsorted)) (or (not (tptp.occurrence_of X60 X62)) (not (tptp.leaf_occ X61 X60)) (not (tptp.min_precedes X61 BOUND_VARIABLE_1292 X62)))))) (let ((_let_20 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.tptp0))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 tptp.tptp0))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23 _let_21))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (not _let_26))) (let ((_let_29 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 tptp.tptp0))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_21))) (let ((_let_32 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))) (let ((_let_33 (not _let_31))) (let ((_let_34 (tptp.root_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.root_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_25 _let_37 _let_35 _let_32))) (let ((_let_39 (forall ((X7 $$unsorted) (X8 $$unsorted) (X9 $$unsorted) (X10 $$unsorted)) (or (not (tptp.occurrence_of X9 X10)) (not (tptp.root_occ X7 X9)) (not (tptp.root_occ X8 X9)) (= X7 X8))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 tptp.tptp0))) (let ((_let_42 (not _let_41))) (let ((_let_43 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 tptp.tptp2))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 tptp.tptp3))) (let ((_let_46 (not _let_45))) (let ((_let_47 (and _let_46 _let_44))) (let ((_let_48 (or (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 tptp.tptp4)) _let_35 _let_47 _let_23 _let_42))) (let ((_let_49 (forall ((X96 $$unsorted) (X97 $$unsorted)) (or (not (tptp.occurrence_of X96 tptp.tptp4)) (not (tptp.root_occ X96 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22)) (and (not (tptp.occurrence_of X97 tptp.tptp3)) (not (tptp.occurrence_of X97 tptp.tptp2))) (not (tptp.leaf_occ X97 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22)) (not (tptp.next_subocc X96 X97 tptp.tptp0)))))) (let ((_let_50 (not _let_48))) (let ((_let_51 (not _let_49))) (let ((_let_52 (or _let_25 _let_51))) (let ((_let_53 (forall ((X95 $$unsorted)) (or (not (tptp.occurrence_of X95 tptp.tptp0)) (not (forall ((X96 $$unsorted) (X97 $$unsorted)) (or (not (tptp.occurrence_of X96 tptp.tptp4)) (not (tptp.root_occ X96 X95)) (and (not (tptp.occurrence_of X97 tptp.tptp3)) (not (tptp.occurrence_of X97 tptp.tptp2))) (not (tptp.leaf_occ X97 X95)) (not (tptp.next_subocc X96 X97 tptp.tptp0))))))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_56 (not _let_55))) (let ((_let_57 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_25 _let_58 _let_56))) (let ((_let_60 (forall ((X73 $$unsorted)) (or (not (tptp.occurrence_of X73 tptp.tptp0)) (not (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X73)) (not (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 X73)))))) (let ((_let_61 (not _let_59))) (let ((_let_62 (not _let_60))) (let ((_let_63 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.tptp0))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_64 _let_62))) (let ((_let_66 (forall ((X70 $$unsorted) (X71 $$unsorted) (X72 $$unsorted)) (or (not (tptp.min_precedes X71 X72 X70)) (not (forall ((X73 $$unsorted)) (or (not (tptp.occurrence_of X73 X70)) (not (tptp.subactivity_occurrence X71 X73)) (not (tptp.subactivity_occurrence X72 X73))))))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_69 (not _let_68))) (let ((_let_70 (tptp.send_message SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.tptp0))) (let ((_let_71 (not _let_70))) (let ((_let_72 (or _let_71 _let_69 _let_63))) (let ((_let_73 (forall ((X108 $$unsorted) (X109 $$unsorted) (X110 $$unsorted) (X111 $$unsorted) (X112 $$unsorted) (X113 $$unsorted)) (or (not (tptp.send_message X108 X109 X110 X111 X112)) (not (tptp.occurrence_of X113 X108)) (tptp.min_precedes X111 X113 X112))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (or _let_71 _let_69 (not (tptp.root_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_76 (forall ((X121 $$unsorted) (X122 $$unsorted) (X123 $$unsorted) (X124 $$unsorted)) (or (not (tptp.send_message X121 X122 X123 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.tptp0)) (not (tptp.occurrence_of X124 X121)) (not (tptp.root_occ X124 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_77 (not _let_75))) (let ((_let_78 (not _let_76))) (let ((_let_79 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_80 (not _let_79))) (let ((_let_81 (tptp.tptp1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_82 (not _let_81))) (let ((_let_83 (or _let_82 _let_80 _let_78))) (let ((_let_84 (forall ((X117 $$unsorted) (X118 $$unsorted) (X119 $$unsorted) (X120 $$unsorted)) (or (not (tptp.tptp1 X117 X118 X119)) (not (tptp.occurrence_of X120 X117)) (not (forall ((X121 $$unsorted) (X122 $$unsorted) (X123 $$unsorted) (X124 $$unsorted)) (or (not (tptp.send_message X121 X122 X123 X119 X118)) (not (tptp.occurrence_of X124 X121)) (not (tptp.root_occ X124 X120))))))))) (let ((_let_85 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (or _let_82 _let_80))) (let ((_let_87 (forall ((X127 $$unsorted) (X128 $$unsorted) (X129 $$unsorted)) (or (not (tptp.tptp1 X127 tptp.tptp0 X128)) (not (tptp.occurrence_of X129 X127)))))) (let ((_let_88 (not _let_86))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (or))) (let ((_let_91 (not _let_87))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_89) :args (_let_91))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_91) _let_87))) (REFL :args (_let_88)) :args _let_90)) _let_89 :args (_let_88 true _let_87)))) (let ((_let_93 (REFL :args (_let_86)))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_86 0)) (CONG _let_93 (MACRO_SR_PRED_INTRO :args ((= (not _let_82) _let_81))) :args _let_90)) :args ((or _let_81 _let_86))) _let_92 :args (_let_81 true _let_86)))) (let ((_let_95 (_let_78))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_95)) :args _let_95)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_78) _let_76))) (REFL :args (_let_77)) :args _let_90)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_82 _let_80 _let_78 (not _let_83)))) _let_94 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_86 1)) (CONG _let_93 (MACRO_SR_PRED_INTRO :args ((= (not _let_80) _let_79))) :args _let_90)) :args ((or _let_79 _let_86))) _let_92 :args (_let_79 true _let_86)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.tptp1 X117 X118 X119) false)) (not (= (tptp.occurrence_of X120 X117) false))))) :args (_let_84))) _let_85 :args (_let_83 false _let_84)) :args (_let_78 false _let_81 false _let_79 false _let_83)) :args (_let_77 true _let_76)))) (let ((_let_97 (REFL :args (_let_75)))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_75 1)) (CONG _let_97 (MACRO_SR_PRED_INTRO :args ((= (not _let_69) _let_68))) :args _let_90)) :args ((or _let_68 _let_75))) _let_96 :args (_let_68 true _let_75)))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_75 0)) (CONG _let_97 (MACRO_SR_PRED_INTRO :args ((= (not _let_71) _let_70))) :args _let_90)) :args ((or _let_70 _let_75))) _let_96 :args (_let_70 true _let_75)))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_71 _let_69 _let_63 (not _let_72)))) _let_99 _let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.send_message X108 X109 X110 X111 X112) false)) (not (= (tptp.occurrence_of X113 X108) false))))) :args (_let_73))) _let_74 :args (_let_72 false _let_73)) :args (_let_63 false _let_70 false _let_68 false _let_72)))) (let ((_let_101 (_let_62))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_101)) :args _let_101)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_60))) (REFL :args (_let_61)) :args _let_90)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_64 _let_62 (not _let_65)))) _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.min_precedes X71 X72 X70) false))))) :args (_let_66))) _let_67 :args (_let_65 false _let_66)) :args (_let_62 false _let_63 false _let_65)) :args (_let_61 true _let_60)))) (let ((_let_103 (REFL :args (_let_59)))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_59 0)) (CONG _let_103 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_90)) :args ((or _let_24 _let_59))) _let_102 :args (_let_24 true _let_59)))) (let ((_let_105 (_let_51))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_105)) :args _let_105)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_49))) (REFL :args (_let_50)) :args _let_90)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_25 _let_51 (not _let_52)))) _let_104 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.occurrence_of X95 tptp.tptp0) false))))) :args (_let_53))) _let_54 :args (_let_52 false _let_53)) :args (_let_51 false _let_24 false _let_52)) :args (_let_50 true _let_49)))) (let ((_let_107 (REFL :args (_let_48)))) (let ((_let_108 (forall ((X34 $$unsorted)) (or (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 X34)) (not (tptp.root SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X34)))))) (let ((_let_109 (not _let_108))) (let ((_let_110 (and _let_57 _let_109))) (let ((_let_111 (= _let_36 _let_110))) (let ((_let_112 (forall ((X32 $$unsorted) (X33 $$unsorted)) (= (tptp.root_occ X32 X33) (and (tptp.subactivity_occurrence X32 X33) (not (forall ((X34 $$unsorted)) (or (not (tptp.occurrence_of X33 X34)) (not (tptp.root X32 X34)))))))))) (let ((_let_113 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_114 (tptp.root SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.tptp0))) (let ((_let_115 (not _let_114))) (let ((_let_116 (or _let_25 _let_115))) (let ((_let_117 (not _let_116))) (let ((_let_118 (and (tptp.activity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (not (tptp.atomic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) _let_7 _let_114))) (let ((_let_119 (or _let_82 _let_118))) (let ((_let_120 (forall ((X114 $$unsorted) (X115 $$unsorted) (X116 $$unsorted)) (or (not (tptp.tptp1 X114 X115 X116)) (and (tptp.activity X114) (not (tptp.atomic X114)) (not (tptp.atomic X115)) (tptp.root X116 X115)))))) (let ((_let_121 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_122 (_let_108))) (let ((_let_123 (_let_110))) (let ((_let_124 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.tptp0))) (let ((_let_125 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 tptp.tptp0))) (let ((_let_126 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 tptp.tptp0))) (let ((_let_127 (not _let_126))) (let ((_let_128 (not _let_124))) (let ((_let_129 (or _let_128 _let_127))) (let ((_let_130 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_131 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36))) (let ((_let_132 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36))) (let ((_let_133 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_134 (not _let_133))) (let ((_let_135 (not _let_132))) (let ((_let_136 (not _let_130))) (let ((_let_137 (or _let_25 _let_136 _let_135 _let_56 _let_134 _let_126 _let_20 _let_131))) (let ((_let_138 (and _let_63 _let_32))) (let ((_let_139 (_let_63 _let_32))) (let ((_let_140 (ASSUME :args (_let_63)))) (let ((_let_141 (APPLY_UF tptp.min_precedes))) (let ((_let_142 (REFL :args (tptp.tptp0)))) (let ((_let_143 (ASSUME :args (_let_32)))) (let ((_let_144 (SYMM (SYMM _let_143)))) (let ((_let_145 (forall ((X18 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 X18 tptp.tptp0)) (not (tptp.min_precedes X18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 tptp.tptp0)))))) (let ((_let_146 (and _let_125 _let_145))) (let ((_let_147 (= _let_41 _let_146))) (let ((_let_148 (forall ((X15 $$unsorted) (X16 $$unsorted) (X17 $$unsorted)) (= (tptp.next_subocc X15 X16 X17) (and (tptp.min_precedes X15 X16 X17) (forall ((X18 $$unsorted)) (or (not (tptp.min_precedes X15 X18 X17)) (not (tptp.min_precedes X18 X16 X17))))))))) (let ((_let_149 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_150 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 4)) (CONG _let_107 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_90)) :args ((or _let_41 _let_48))) _let_106 :args (_let_41 true _let_48)))) (let ((_let_151 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_147)) :args ((or _let_42 _let_146 (not _let_147)))) _let_150 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.next_subocc X15 X16 X17)))) :args (_let_148))) _let_149 :args (_let_147 false _let_148)) :args (_let_146 false _let_41 false _let_147)))) (let ((_let_152 (not _let_146))) (let ((_let_153 (and _let_32 _let_125))) (let ((_let_154 (ASSUME :args (_let_125)))) (let ((_let_155 (_let_145))) (let ((_let_156 (_let_31))) (let ((_let_157 (tptp.atomic SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_158 (= _let_130 _let_157))) (let ((_let_159 (or _let_69 _let_158))) (let ((_let_160 (forall ((X40 $$unsorted) (X41 $$unsorted)) (or (not (tptp.occurrence_of X40 X41)) (= (tptp.arboreal X40) (tptp.atomic X41)))))) (let ((_let_161 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_162 (and (tptp.activity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) _let_157 (tptp.root SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9) _let_114))) (let ((_let_163 (or _let_71 _let_162))) (let ((_let_164 (forall ((X98 $$unsorted) (X99 $$unsorted) (X100 $$unsorted) (X101 $$unsorted) (X102 $$unsorted)) (or (not (tptp.send_message X98 X99 X100 X101 X102)) (and (tptp.activity X98) (tptp.atomic X98) (tptp.root X99 X100) (tptp.root X101 X102)))))) (let ((_let_165 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_166 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.tptp2))) (let ((_let_167 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.tptp3))) (let ((_let_168 (not _let_131))) (let ((_let_169 (= tptp.tptp2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_170 (not _let_166))) (let ((_let_171 (or _let_69 _let_170 _let_169))) (let ((_let_172 (forall ((X64 $$unsorted) (X65 $$unsorted) (X66 $$unsorted)) (or (not (tptp.occurrence_of X64 X65)) (not (tptp.occurrence_of X64 X66)) (= X65 X66))))) (let ((_let_173 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_174 (_let_172))) (let ((_let_175 (tptp.send_message tptp.tptp2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.tptp0))) (let ((_let_176 (not _let_169))) (let ((_let_177 (forall ((BOUND_VARIABLE_1511 $$unsorted) (BOUND_VARIABLE_1513 $$unsorted) (BOUND_VARIABLE_1515 $$unsorted) (BOUND_VARIABLE_1517 $$unsorted)) (not (tptp.send_message tptp.tptp2 BOUND_VARIABLE_1511 BOUND_VARIABLE_1513 BOUND_VARIABLE_1515 BOUND_VARIABLE_1517))))) (let ((_let_178 (not _let_175))) (let ((_let_179 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_180 (_let_177))) (let ((_let_181 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.tptp0 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_182 (REFL :args (_let_71)))) (let ((_let_183 (ASSUME :args (_let_178)))) (let ((_let_184 (APPLY_UF tptp.send_message))) (let ((_let_185 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_186 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)))) (let ((_let_187 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_188 (ASSUME :args (_let_169)))) (let ((_let_189 (ASSUME :args (_let_70)))) (let ((_let_190 (SYMM (TRUE_INTRO _let_189)))) (let ((_let_191 (REFL :args (_let_168)))) (let ((_let_192 (and _let_131 _let_170))) (let ((_let_193 (ASSUME :args (_let_170)))) (let ((_let_194 (APPLY_UF tptp.occurrence_of))) (let ((_let_195 (ASSUME :args (_let_131)))) (let ((_let_196 (SYMM _let_195))) (let ((_let_197 (= tptp.tptp3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_198 (not _let_167))) (let ((_let_199 (or _let_69 _let_198 _let_197))) (let ((_let_200 (tptp.send_message tptp.tptp3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.tptp0))) (let ((_let_201 (not _let_197))) (let ((_let_202 (forall ((BOUND_VARIABLE_1494 $$unsorted) (BOUND_VARIABLE_1496 $$unsorted) (BOUND_VARIABLE_1498 $$unsorted) (BOUND_VARIABLE_1500 $$unsorted)) (not (tptp.send_message tptp.tptp3 BOUND_VARIABLE_1494 BOUND_VARIABLE_1496 BOUND_VARIABLE_1498 BOUND_VARIABLE_1500))))) (let ((_let_203 (not _let_200))) (let ((_let_204 (_let_202))) (let ((_let_205 (ASSUME :args (_let_203)))) (let ((_let_206 (ASSUME :args (_let_197)))) (let ((_let_207 (and _let_131 _let_198))) (let ((_let_208 (ASSUME :args (_let_198)))) (let ((_let_209 (_let_47))) (let ((_let_210 (and (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35) _let_132))) (let ((_let_211 (or _let_42 _let_210))) (let ((_let_212 (forall ((X19 $$unsorted) (X20 $$unsorted) (X21 $$unsorted)) (or (not (tptp.next_subocc X19 X20 X21)) (and (tptp.arboreal X19) (tptp.arboreal X20)))))) (let ((_let_213 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_214 (and _let_133 (not (forall ((X37 $$unsorted)) (or (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 X37)) (not (tptp.leaf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 X37)))))))) (let ((_let_215 (= _let_22 _let_214))) (let ((_let_216 (forall ((X35 $$unsorted) (X36 $$unsorted)) (= (tptp.leaf_occ X35 X36) (and (tptp.subactivity_occurrence X35 X36) (not (forall ((X37 $$unsorted)) (or (not (tptp.occurrence_of X36 X37)) (not (tptp.leaf X35 X37)))))))))) (let ((_let_217 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_218 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 3)) (CONG _let_107 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_90)) :args ((or _let_22 _let_48))) _let_106 :args (_let_22 true _let_48)))) (let ((_let_219 (forall ((X85 $$unsorted) (X86 $$unsorted) (X87 $$unsorted) (X88 $$unsorted)) (or (not (tptp.occurrence_of X86 X85)) (not (tptp.arboreal X87)) (not (tptp.arboreal X88)) (not (tptp.subactivity_occurrence X87 X86)) (not (tptp.subactivity_occurrence X88 X86)) (tptp.min_precedes X87 X88 X85) (tptp.min_precedes X88 X87 X85) (= X87 X88))))) (let ((_let_220 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_19))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_23 _let_21 _let_28))) _let_104 _let_218 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 1)) (CONG (REFL :args _let_156) (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_90)) :args ((or _let_20 _let_31))) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_137)) :args ((or _let_136 _let_25 _let_56 _let_131 _let_135 _let_134 _let_126 _let_20 (not _let_137)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_220 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_219))) _let_220 :args (_let_137 false _let_219)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_214 0)) :args ((or _let_133 (not _let_214)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_215)) :args ((or _let_23 _let_214 (not _let_215)))) _let_218 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_217 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.leaf_occ X35 X36)))) :args (_let_216))) _let_217 :args (_let_215 false _let_216)) :args (_let_214 false _let_22 false _let_215)) :args (_let_133 false _let_214)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_210 1)) :args ((or _let_132 (not _let_210)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_211)) :args ((or _let_42 _let_210 (not _let_211)))) _let_150 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.next_subocc X19 X20 X21) false))))) :args (_let_212))) _let_213 :args (_let_211 false _let_212)) :args (_let_210 false _let_41 false _let_211)) :args (_let_132 false _let_210)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_209) (CONG (REFL :args _let_209) (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))) :args _let_90)) :args ((or _let_45 _let_43 _let_47))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_48 2)) _let_106 :args ((not _let_47) true _let_48)) (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_207)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_208 _let_195) (SCOPE (FALSE_ELIM (TRANS (CONG _let_196 (REFL :args (tptp.tptp3)) :args _let_194) (FALSE_INTRO _let_208))) :args (_let_198 _let_131))) :args (_let_131 _let_198))) :args (true _let_207)) (CONG _let_191 (MACRO_SR_PRED_INTRO :args ((= (not _let_198) _let_167))) (REFL :args (_let_46)) :args _let_90)) :args ((or _let_46 _let_168 _let_167))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_199)) :args ((or _let_69 _let_197 _let_198 (not _let_199)))) _let_98 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_205 _let_206 _let_189) :args (_let_70 _let_197 _let_203)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_190 (CONG (SYMM _let_206) _let_187 _let_186 _let_185 _let_142 :args _let_184) (FALSE_INTRO _let_205))) :args (_let_203 _let_197 _let_70)) :args ((not (and _let_70 _let_197 _let_203)) SB_LITERAL))) (CONG _let_182 (REFL :args (_let_201)) (MACRO_SR_PRED_INTRO :args ((= (not _let_203) _let_200))) :args _let_90)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_204) :args _let_181) :args _let_204)) (AND_ELIM _let_179 :args (1)) :args (_let_203 false _let_202)) _let_99 :args (_let_201 true _let_200 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_173 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_174))) _let_173 :args (_let_199 false _let_172)) :args (_let_198 false _let_68 true _let_197 false _let_199)) (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_192)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_193 _let_195) (SCOPE (FALSE_ELIM (TRANS (CONG _let_196 (REFL :args (tptp.tptp2)) :args _let_194) (FALSE_INTRO _let_193))) :args (_let_170 _let_131))) :args (_let_131 _let_170))) :args (true _let_192)) (CONG _let_191 (MACRO_SR_PRED_INTRO :args ((= (not _let_170) _let_166))) (REFL :args (_let_44)) :args _let_90)) :args ((or _let_44 _let_168 _let_166))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_171)) :args ((or _let_69 _let_169 _let_170 (not _let_171)))) _let_98 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_183 _let_188 _let_189) :args (_let_70 _let_169 _let_178)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_190 (CONG (SYMM _let_188) _let_187 _let_186 _let_185 _let_142 :args _let_184) (FALSE_INTRO _let_183))) :args (_let_178 _let_169 _let_70)) :args ((not (and _let_70 _let_169 _let_178)) SB_LITERAL))) (CONG _let_182 (REFL :args (_let_176)) (MACRO_SR_PRED_INTRO :args ((= (not _let_178) _let_175))) :args _let_90)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_180) :args _let_181) :args _let_180)) (AND_ELIM _let_179 :args (2)) :args (_let_178 false _let_177)) _let_99 :args (_let_176 true _let_175 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_173 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_174))) _let_173 :args (_let_171 false _let_172)) :args (_let_170 false _let_68 true _let_169 false _let_171)) :args (_let_168 true _let_47 true _let_45 true _let_167 true _let_43 true _let_166)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_59 2)) (CONG _let_103 (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_55))) :args _let_90)) :args ((or _let_55 _let_59))) _let_102 :args (_let_55 true _let_59)) _let_104 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_158)) :args ((or _let_130 (not _let_157) (not _let_158)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_162 1)) :args ((or _let_157 (not _let_162)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_163)) :args ((or _let_71 _let_162 (not _let_163)))) _let_99 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_165 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.send_message X98 X99 X100 X101 X102) false))))) :args (_let_164))) _let_165 :args (_let_163 false _let_164)) :args (_let_162 false _let_70 false _let_163)) :args (_let_157 false _let_162)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_159)) :args ((or _let_69 _let_158 (not _let_159)))) _let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.occurrence_of X40 X41) false))))) :args (_let_160))) _let_161 :args (_let_159 false _let_160)) :args (_let_158 false _let_68 false _let_159)) :args (_let_130 false _let_157 false _let_158)) (REORDERING (CNF_OR_POS :args _let_156) :args ((or _let_30 _let_21 _let_33))) (REORDERING (CNF_OR_POS :args (_let_129)) :args ((or _let_128 _let_127 (not _let_129)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_155) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 X18 tptp.tptp0) false))))) :args _let_155)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_146 1)) :args ((or _let_145 _let_152))) _let_151 :args (_let_145 false _let_146)) :args (_let_129 false _let_145)) (RESOLUTION (CNF_AND_NEG :args (_let_153)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_154 _let_143) (SCOPE (TRUE_ELIM (TRANS (CONG _let_144 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36)) _let_142 :args _let_141) (TRUE_INTRO _let_154))) :args (_let_125 _let_32))) :args (_let_32 _let_125))) :args (true _let_153)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_146 0)) :args ((or _let_125 _let_152))) _let_151 :args (_let_125 false _let_146)) (RESOLUTION (CNF_AND_NEG :args (_let_138)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_140 _let_143) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_144) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) _let_142 :args _let_141) (TRUE_INTRO _let_140))) :args _let_139)) :args _let_139)) :args (true _let_138)) _let_100 :args ((or (not _let_32) _let_33) false _let_137 false _let_133 false _let_132 true _let_131 false _let_55 false _let_24 false _let_130 true _let_20 true _let_126 false _let_129 false _let_29 false _let_125 false _let_124 false _let_63)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_25 _let_37 _let_35 _let_32 (not _let_38)))) _let_104 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_111)) :args ((or _let_36 (not _let_110) (not _let_111)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_123) (CONG (REFL :args _let_123) (REFL :args (_let_58)) (MACRO_SR_PRED_INTRO :args ((= (not _let_109) _let_108))) :args _let_90)) :args ((or _let_58 _let_108 _let_110))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_59 1)) (CONG _let_103 (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_57))) :args _let_90)) :args ((or _let_57 _let_59))) _let_102 :args (_let_57 true _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_122) :args (tptp.tptp0 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_122)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_116)) :args ((or _let_115 _let_25 _let_117))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_118 3)) :args ((or _let_114 (not _let_118)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_119)) :args ((or _let_82 _let_118 (not _let_119)))) _let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.tptp1 X114 X115 X116) false))))) :args (_let_120))) _let_121 :args (_let_119 false _let_120)) :args (_let_118 false _let_81 false _let_119)) :args (_let_114 false _let_118)) _let_104 :args (_let_117 false _let_114 false _let_24)) :args (_let_109 true _let_116)) :args (_let_110 false _let_57 true _let_108)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subactivity_occurrence X32 X33)))) :args (_let_112))) _let_113 :args (_let_111 false _let_112)) :args (_let_36 false _let_110 false _let_111)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 1)) (CONG _let_107 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_90)) :args ((or _let_34 _let_48))) _let_106 :args (_let_34 true _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 tptp.tptp0 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_39))) _let_40 :args (_let_38 false _let_39)) :args (_let_32 false _let_24 false _let_36 false _let_34 false _let_38)) :args (_let_33 false _let_32)) :args (_let_20 true _let_31)) :args (_let_28 false _let_24 false _let_22 false _let_20)) _let_27 :args (false true _let_26 false _let_19)) :args ((forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (=> (and (tptp.min_precedes X0 X1 X3) (tptp.min_precedes X1 X2 X3)) (tptp.min_precedes X0 X2 X3))) (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted)) (=> (and (tptp.earlier X4 X5) (tptp.earlier X5 X6)) (tptp.earlier X4 X6))) _let_18 (forall ((X11 $$unsorted) (X12 $$unsorted) (X13 $$unsorted) (X14 $$unsorted)) (=> (and (tptp.occurrence_of X13 X14) (not (tptp.atomic X14)) (tptp.leaf_occ X11 X13) (tptp.leaf_occ X12 X13)) (= X11 X12))) _let_17 _let_16 (forall ((X22 $$unsorted) (X23 $$unsorted) (X24 $$unsorted)) (=> (tptp.min_precedes X22 X23 X24) (tptp.precedes X22 X23))) (forall ((X25 $$unsorted) (X26 $$unsorted) (X27 $$unsorted)) (=> (tptp.min_precedes X25 X26 X27) (not (tptp.root X26 X27)))) (forall ((X28 $$unsorted) (X29 $$unsorted)) (= (tptp.precedes X28 X29) (and (tptp.earlier X28 X29) (tptp.legal X29)))) (forall ((X30 $$unsorted) (X31 $$unsorted)) (=> (tptp.earlier X30 X31) (not (tptp.earlier X31 X30)))) _let_15 _let_14 (forall ((X38 $$unsorted) (X39 $$unsorted)) (=> (tptp.root X38 X39) (tptp.legal X38))) _let_13 (forall ((X42 $$unsorted) (X43 $$unsorted)) (= (tptp.leaf X42 X43) (and (or (tptp.root X42 X43) (exists ((X44 $$unsorted)) (tptp.min_precedes X44 X42 X43))) (not (exists ((X45 $$unsorted)) (tptp.min_precedes X42 X45 X43)))))) (forall ((X46 $$unsorted) (X47 $$unsorted)) (= (tptp.atocc X46 X47) (exists ((X48 $$unsorted)) (and (tptp.subactivity X47 X48) (tptp.atomic X48) (tptp.occurrence_of X46 X48))))) (forall ((X49 $$unsorted) (X50 $$unsorted)) (=> (and (tptp.atocc X49 X50) (tptp.legal X49)) (tptp.root X49 X50))) (forall ((X51 $$unsorted)) (=> (tptp.legal X51) (tptp.arboreal X51))) (forall ((X52 $$unsorted)) (=> (tptp.activity_occurrence X52) (exists ((X53 $$unsorted)) (and (tptp.activity X53) (tptp.occurrence_of X52 X53))))) (forall ((X54 $$unsorted) (X55 $$unsorted)) (=> (tptp.subactivity_occurrence X54 X55) (and (tptp.activity_occurrence X54) (tptp.activity_occurrence X55)))) (forall ((X56 $$unsorted) (X57 $$unsorted) (X58 $$unsorted)) (=> (and (tptp.occurrence_of X56 X58) (tptp.root_occ X57 X56)) (not (exists ((X59 $$unsorted)) (tptp.min_precedes X59 X57 X58))))) _let_12 _let_11 (forall ((X67 $$unsorted) (X68 $$unsorted)) (=> (and (tptp.leaf X67 X68) (not (tptp.atomic X68))) (exists ((X69 $$unsorted)) (and (tptp.occurrence_of X69 X68) (tptp.leaf_occ X67 X69))))) _let_10 (forall ((X74 $$unsorted) (X75 $$unsorted)) (=> (and (tptp.leaf X74 X75) (not (tptp.atomic X75))) (exists ((X76 $$unsorted)) (and (tptp.occurrence_of X76 X75) (tptp.leaf_occ X74 X76))))) (forall ((X77 $$unsorted) (X78 $$unsorted) (X79 $$unsorted)) (=> (tptp.min_precedes X78 X79 X77) (exists ((X80 $$unsorted) (X81 $$unsorted)) (and (tptp.subactivity X80 X77) (tptp.subactivity X81 X77) (tptp.atocc X78 X80) (tptp.atocc X79 X81))))) (forall ((X82 $$unsorted) (X83 $$unsorted)) (=> (tptp.root X83 X82) (exists ((X84 $$unsorted)) (and (tptp.subactivity X84 X82) (tptp.atocc X83 X84))))) _let_9 (forall ((X89 $$unsorted) (X90 $$unsorted)) (=> (tptp.occurrence_of X90 X89) (and (tptp.activity X89) (tptp.activity_occurrence X90)))) (forall ((X91 $$unsorted) (X92 $$unsorted)) (=> (and (tptp.occurrence_of X92 X91) (not (tptp.atomic X91))) (exists ((X93 $$unsorted)) (and (tptp.root X93 X91) (tptp.subactivity_occurrence X93 X92))))) (forall ((X94 $$unsorted)) (=> (tptp.activity X94) (tptp.subactivity X94 X94))) _let_8 (tptp.activity tptp.tptp0) _let_7 (tptp.atomic tptp.tptp4) (tptp.atomic tptp.tptp3) (tptp.atomic tptp.tptp2) (tptp.atomic tptp.tptp5) (not (= tptp.tptp4 tptp.tptp5)) (not (= tptp.tptp4 tptp.tptp3)) (not (= tptp.tptp4 tptp.tptp2)) (not (= tptp.tptp5 tptp.tptp3)) (not (= tptp.tptp5 tptp.tptp2)) (not (= tptp.tptp3 tptp.tptp2)) _let_6 _let_5 _let_4 _let_3 _let_2 (forall ((X125 $$unsorted) (X126 $$unsorted)) (not (tptp.tptp1 tptp.tptp0 X125 X126))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 31.57/26.88 )
% 31.57/26.88 % SZS output end Proof for PRO002+2
% 31.57/26.88 % cvc5---1.0.5 exiting
% 31.57/26.88 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------