TSTP Solution File: ALG030-10 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ALG030-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n009.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 : Wed Aug 30 16:07:56 EDT 2023
% Result : Unsatisfiable 0.33s 0.53s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG030-10 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 05:06:50 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Dea8Ek7N4t/cvc5---1.0.5_16113.p...
% 0.21/0.49 ------- get file name : TPTP file name is ALG030-10
% 0.21/0.49 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_16113.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.33/0.53 % SZS status Unsatisfiable for ALG030-10
% 0.33/0.53 % SZS output start Proof for ALG030-10
% 0.35/0.54 (
% 0.35/0.54 (let ((_let_1 (forall ((Z $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.j (tptp.op2 Y Z)))) (= (tptp.ifeq2 (tptp.sorti2 Z) tptp.true (tptp.ifeq2 (tptp.sorti2 Y) tptp.true (tptp.op1 (tptp.j Y) (tptp.j Z)) _let_1) _let_1) _let_1))))) (let ((_let_2 (forall ((X2 $$unsorted)) (= (tptp.ifeq2 (tptp.sorti1 X2) tptp.true (tptp.j (tptp.h X2)) X2) X2)))) (let ((_let_3 (forall ((X $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.h (tptp.op1 W X)))) (= (tptp.ifeq2 (tptp.sorti1 X) tptp.true (tptp.ifeq2 (tptp.sorti1 W) tptp.true (tptp.op2 (tptp.h W) (tptp.h X)) _let_1) _let_1) _let_1))))) (let ((_let_4 (forall ((U $$unsorted)) (= (tptp.ifeq (tptp.sorti1 U) tptp.true (tptp.sorti2 (tptp.h U)) tptp.true) tptp.true)))) (let ((_let_5 (forall ((V $$unsorted) (U $$unsorted)) (let ((_let_1 (tptp.op2 V U))) (= (tptp.ifeq2 (tptp.sorti2 V) tptp.true (tptp.ifeq2 (tptp.sorti2 U) tptp.true (tptp.op2 U V) _let_1) _let_1) _let_1))))) (let ((_let_6 (tptp.sorti1 tptp.sK2_ax3_U))) (let ((_let_7 (= _let_6 tptp.true))) (let ((_let_8 (tptp.sorti1 tptp.sK1_ax3_V))) (let ((_let_9 (= _let_8 tptp.true))) (let ((_let_10 (tptp.op1 tptp.sK1_ax3_V tptp.sK2_ax3_U))) (let ((_let_11 (tptp.op1 tptp.sK2_ax3_U tptp.sK1_ax3_V))) (let ((_let_12 (= _let_11 _let_10))) (let ((_let_13 (not _let_12))) (let ((_let_14 (forall ((V $$unsorted) (U $$unsorted)) (= (tptp.ifeq (tptp.sorti1 V) tptp.true (tptp.ifeq (tptp.sorti1 U) tptp.true (tptp.sorti1 (tptp.op1 U V)) tptp.true) tptp.true) tptp.true)))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq A A B C) B)))) (let ((_let_16 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq2 A A B C) B)))) (let ((_let_17 (= tptp.true _let_8))) (let ((_let_18 (= tptp.true _let_6))) (let ((_let_19 (tptp.sorti1 _let_11))) (let ((_let_20 (tptp.ifeq _let_6 tptp.true _let_19 tptp.true))) (let ((_let_21 (= tptp.true (tptp.ifeq _let_8 tptp.true _let_20 tptp.true)))) (let ((_let_22 (tptp.h tptp.sK2_ax3_U))) (let ((_let_23 (tptp.sorti2 _let_22))) (let ((_let_24 (= tptp.true (tptp.ifeq _let_6 tptp.true _let_23 tptp.true)))) (let ((_let_25 (tptp.h tptp.sK1_ax3_V))) (let ((_let_26 (tptp.sorti2 _let_25))) (let ((_let_27 (= tptp.true (tptp.ifeq _let_8 tptp.true _let_26 tptp.true)))) (let ((_let_28 (tptp.h _let_11))) (let ((_let_29 (tptp.op2 _let_22 _let_25))) (let ((_let_30 (tptp.ifeq2 _let_6 tptp.true _let_29 _let_28))) (let ((_let_31 (= _let_28 (tptp.ifeq2 _let_8 tptp.true _let_30 _let_28)))) (let ((_let_32 (tptp.h _let_10))) (let ((_let_33 (tptp.op2 _let_25 _let_22))) (let ((_let_34 (tptp.ifeq2 _let_8 tptp.true _let_33 _let_32))) (let ((_let_35 (= _let_32 (tptp.ifeq2 _let_6 tptp.true _let_34 _let_32)))) (let ((_let_36 (tptp.j _let_22))) (let ((_let_37 (= tptp.sK2_ax3_U (tptp.ifeq2 _let_6 tptp.true _let_36 tptp.sK2_ax3_U)))) (let ((_let_38 (tptp.j _let_25))) (let ((_let_39 (= tptp.sK1_ax3_V (tptp.ifeq2 _let_8 tptp.true _let_38 tptp.sK1_ax3_V)))) (let ((_let_40 (= _let_29 (tptp.ifeq2 tptp.true tptp.true _let_29 _let_28)))) (let ((_let_41 (= _let_33 (tptp.ifeq2 tptp.true tptp.true _let_33 _let_32)))) (let ((_let_42 (= _let_36 (tptp.ifeq2 tptp.true tptp.true _let_36 tptp.sK2_ax3_U)))) (let ((_let_43 (= _let_38 (tptp.ifeq2 tptp.true tptp.true _let_38 tptp.sK1_ax3_V)))) (let ((_let_44 (= _let_19 (tptp.ifeq tptp.true tptp.true _let_19 tptp.true)))) (let ((_let_45 (= _let_23 (tptp.ifeq tptp.true tptp.true _let_23 tptp.true)))) (let ((_let_46 (= _let_26 (tptp.ifeq tptp.true tptp.true _let_26 tptp.true)))) (let ((_let_47 (tptp.ifeq2 _let_23 tptp.true _let_29 _let_33))) (let ((_let_48 (= _let_33 (tptp.ifeq2 _let_26 tptp.true _let_47 _let_33)))) (let ((_let_49 (tptp.j _let_28))) (let ((_let_50 (= _let_11 (tptp.ifeq2 _let_19 tptp.true _let_49 _let_11)))) (let ((_let_51 (tptp.j _let_33))) (let ((_let_52 (tptp.op1 _let_38 _let_36))) (let ((_let_53 (tptp.ifeq2 _let_26 tptp.true _let_52 _let_51))) (let ((_let_54 (= _let_51 (tptp.ifeq2 _let_23 tptp.true _let_53 _let_51)))) (let ((_let_55 (= _let_52 (tptp.ifeq2 tptp.true tptp.true _let_52 _let_51)))) (let ((_let_56 (= _let_29 (tptp.ifeq2 tptp.true tptp.true _let_29 _let_33)))) (let ((_let_57 (= _let_49 (tptp.ifeq2 tptp.true tptp.true _let_49 _let_11)))) (let ((_let_58 (SYMM (ASSUME :args (_let_9))))) (let ((_let_59 (SYMM (ASSUME :args (_let_7))))) (let ((_let_60 (forall ((V $$unsorted) (U $$unsorted)) (= tptp.true (tptp.ifeq (tptp.sorti1 V) tptp.true (tptp.ifeq (tptp.sorti1 U) tptp.true (tptp.sorti1 (tptp.op1 U V)) tptp.true) tptp.true))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (forall ((U $$unsorted)) (= tptp.true (tptp.ifeq (tptp.sorti1 U) tptp.true (tptp.sorti2 (tptp.h U)) tptp.true))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (_let_62))) (let ((_let_65 ((tptp.sorti1 U)))) (let ((_let_66 (forall ((X $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.h (tptp.op1 W X)))) (= _let_1 (tptp.ifeq2 (tptp.sorti1 X) tptp.true (tptp.ifeq2 (tptp.sorti1 W) tptp.true (tptp.op2 (tptp.h W) (tptp.h X)) _let_1) _let_1)))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (_let_66))) (let ((_let_69 ((tptp.op1 W X)))) (let ((_let_70 (forall ((X2 $$unsorted)) (= X2 (tptp.ifeq2 (tptp.sorti1 X2) tptp.true (tptp.j (tptp.h X2)) X2))))) (let ((_let_71 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_72 (_let_70))) (let ((_let_73 ((tptp.sorti1 X2)))) (let ((_let_74 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq2 A A B C))))) (let ((_let_75 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_76 (_let_74))) (let ((_let_77 ((tptp.ifeq2 A A B C)))) (let ((_let_78 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq A A B C))))) (let ((_let_79 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_80 (_let_78))) (let ((_let_81 ((tptp.ifeq A A B C)))) (let ((_let_82 (forall ((V $$unsorted) (U $$unsorted)) (let ((_let_1 (tptp.op2 V U))) (= _let_1 (tptp.ifeq2 (tptp.sorti2 V) tptp.true (tptp.ifeq2 (tptp.sorti2 U) tptp.true (tptp.op2 U V) _let_1) _let_1)))))) (let ((_let_83 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_84 (forall ((Z $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.j (tptp.op2 Y Z)))) (= _let_1 (tptp.ifeq2 (tptp.sorti2 Z) tptp.true (tptp.ifeq2 (tptp.sorti2 Y) tptp.true (tptp.op1 (tptp.j Y) (tptp.j Z)) _let_1) _let_1)))))) (let ((_let_85 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (and _let_17 _let_18 _let_21 _let_24 _let_27 _let_31 _let_35 _let_37 _let_39 _let_40 _let_41 _let_42 _let_43 _let_44 _let_45 _let_46 _let_48 _let_50 _let_54 _let_55 _let_56 _let_57))) (let ((_let_87 (ASSUME :args (_let_37)))) (let ((_let_88 (APPLY_UF tptp.ifeq2))) (let ((_let_89 (REFL :args (tptp.true)))) (let ((_let_90 (SYMM _let_59))) (let ((_let_91 (SYMM _let_90))) (let ((_let_92 (ASSUME :args (_let_42)))) (let ((_let_93 (ASSUME :args (_let_39)))) (let ((_let_94 (ASSUME :args (_let_43)))) (let ((_let_95 (ASSUME :args (_let_55)))) (let ((_let_96 (SYMM _let_95))) (let ((_let_97 (REFL :args (_let_51)))) (let ((_let_98 (ASSUME :args (_let_27)))) (let ((_let_99 (APPLY_UF tptp.ifeq))) (let ((_let_100 (ASSUME :args (_let_46)))) (let ((_let_101 (TRANS (TRANS (SYMM (SYMM _let_100)) (CONG _let_58 _let_89 (REFL :args (_let_26)) _let_89 :args _let_99) (SYMM _let_98) _let_91) _let_90))) (let ((_let_102 (ASSUME :args (_let_24)))) (let ((_let_103 (ASSUME :args (_let_45)))) (let ((_let_104 (TRANS (TRANS (SYMM (SYMM _let_103)) (CONG _let_91 _let_89 (REFL :args (_let_23)) _let_89 :args _let_99) (SYMM _let_102) _let_91) _let_90))) (let ((_let_105 (ASSUME :args (_let_54)))) (let ((_let_106 (APPLY_UF tptp.j))) (let ((_let_107 (ASSUME :args (_let_41)))) (let ((_let_108 (SYMM _let_107))) (let ((_let_109 (REFL :args (_let_32)))) (let ((_let_110 (REFL :args (_let_33)))) (let ((_let_111 (SYMM _let_58))) (let ((_let_112 (CONG _let_89 _let_89 (TRANS (CONG _let_111 _let_89 _let_110 _let_109 :args _let_88) _let_108) _let_109 :args _let_88))) (let ((_let_113 (CONG _let_90 _let_89 (REFL :args (_let_34)) _let_109 :args _let_88))) (let ((_let_114 (ASSUME :args (_let_35)))) (let ((_let_115 (SYMM _let_114))) (let ((_let_116 (ASSUME :args (_let_48)))) (let ((_let_117 (REFL :args (_let_29)))) (let ((_let_118 (CONG (SYMM _let_104) _let_89 _let_117 _let_110 :args _let_88))) (let ((_let_119 (ASSUME :args (_let_56)))) (let ((_let_120 (SYMM (SYMM _let_119)))) (let ((_let_121 (ASSUME :args (_let_40)))) (let ((_let_122 (SYMM _let_121))) (let ((_let_123 (REFL :args (_let_28)))) (let ((_let_124 (CONG _let_90 _let_89 _let_117 _let_123 :args _let_88))) (let ((_let_125 (TRANS _let_124 _let_122))) (let ((_let_126 (ASSUME :args (_let_31)))) (let ((_let_127 (ASSUME :args (_let_57)))) (let ((_let_128 (ASSUME :args (_let_21)))) (let ((_let_129 (ASSUME :args (_let_44)))) (let ((_let_130 (SYMM (SYMM _let_129)))) (let ((_let_131 (ASSUME :args (_let_50)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_86)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_93 _let_58 _let_59 _let_94 _let_87 _let_92 _let_95 _let_98 _let_100 _let_102 _let_103 _let_105 _let_107 _let_114 _let_116 _let_121 _let_119 _let_126 _let_127 _let_128 _let_129 _let_131) (SCOPE (TRANS (SYMM (SYMM _let_131)) (CONG (TRANS (TRANS _let_130 (CONG _let_89 _let_89 (TRANS _let_130 (CONG _let_91 _let_89 (REFL :args (_let_19)) _let_89 :args _let_99)) _let_89 :args _let_99) (CONG _let_58 _let_89 (REFL :args (_let_20)) _let_89 :args _let_99) (SYMM _let_128) _let_91) _let_90) _let_89 (REFL :args (_let_49)) (REFL :args (_let_11)) :args _let_88) (SYMM _let_127) (CONG (TRANS (SYMM (SYMM _let_126)) (CONG _let_111 _let_89 (REFL :args (_let_30)) _let_123 :args _let_88) (CONG _let_89 _let_89 _let_125 _let_123 :args _let_88) _let_122 _let_120 _let_118 (CONG _let_104 _let_89 (TRANS (SYMM _let_125) (TRANS _let_124 _let_122 _let_120 _let_118)) _let_110 :args _let_88) (CONG (SYMM _let_101) _let_89 (REFL :args (_let_47)) _let_110 :args _let_88) (SYMM _let_116) _let_107 (SYMM _let_112) (SYMM _let_113) _let_115) :args _let_106) (CONG (TRANS (SYMM _let_115) _let_113 _let_112 _let_108) :args _let_106) (SYMM (SYMM _let_105)) (CONG _let_104 _let_89 (REFL :args (_let_53)) _let_97 :args _let_88) (CONG _let_89 _let_89 (TRANS (CONG _let_101 _let_89 (REFL :args (_let_52)) _let_97 :args _let_88) _let_96) _let_97 :args _let_88) _let_96 (CONG (TRANS (SYMM (SYMM _let_94)) (CONG _let_58 _let_89 (REFL :args (_let_38)) (REFL :args (tptp.sK1_ax3_V)) :args _let_88) (SYMM _let_93)) (TRANS (SYMM (SYMM _let_92)) (CONG _let_91 _let_89 (REFL :args (_let_36)) (REFL :args (tptp.sK2_ax3_U)) :args _let_88) (SYMM _let_87)) :args (APPLY_UF tptp.op1))) :args (_let_39 _let_17 _let_18 _let_43 _let_37 _let_42 _let_55 _let_27 _let_46 _let_24 _let_45 _let_54 _let_41 _let_35 _let_48 _let_40 _let_56 _let_31 _let_57 _let_21 _let_44 _let_50))) :args (_let_17 _let_18 _let_21 _let_24 _let_27 _let_31 _let_35 _let_37 _let_39 _let_40 _let_41 _let_42 _let_43 _let_44 _let_45 _let_46 _let_48 _let_50 _let_54 _let_55 _let_56 _let_57))) :args (true _let_86)) :args ((or _let_12 (not _let_17) (not _let_18) (not _let_21) (not _let_24) (not _let_27) (not _let_31) (not _let_35) (not _let_37) (not _let_39) (not _let_40) (not _let_41) (not _let_42) (not _let_43) (not _let_44) (not _let_45) (not _let_46) (not _let_48) (not _let_50) (not _let_54) (not _let_55) (not _let_56) (not _let_57)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.true _let_49 _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_77)) :args _let_76)) _let_75 :args (_let_57 false _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.true _let_29 _let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_77)) :args _let_76)) _let_75 :args (_let_56 false _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.true _let_52 _let_51 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_77)) :args _let_76)) _let_75 :args (_let_55 false _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (_let_22 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.op2 Y Z)))) :args (_let_84))) _let_85 :args (_let_54 false _let_84)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (_let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_73)) :args _let_72)) _let_71 :args (_let_50 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_25 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.op2 V U)))) :args (_let_82))) _let_83 :args (_let_48 false _let_82)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (tptp.true _let_26 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_81)) :args _let_80)) _let_79 :args (_let_46 false _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (tptp.true _let_23 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_81)) :args _let_80)) _let_79 :args (_let_45 false _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (tptp.true _let_19 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_81)) :args _let_80)) _let_79 :args (_let_44 false _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.true _let_38 tptp.sK1_ax3_V QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_77)) :args _let_76)) _let_75 :args (_let_43 false _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.true _let_36 tptp.sK2_ax3_U QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_77)) :args _let_76)) _let_75 :args (_let_42 false _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.true _let_33 _let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_77)) :args _let_76)) _let_75 :args (_let_41 false _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.true _let_29 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_77)) :args _let_76)) _let_75 :args (_let_40 false _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.sK1_ax3_V QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_73)) :args _let_72)) _let_71 :args (_let_39 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.sK2_ax3_U QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_73)) :args _let_72)) _let_71 :args (_let_37 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.sK2_ax3_U tptp.sK1_ax3_V QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_68)) _let_67 :args (_let_35 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.sK1_ax3_V tptp.sK2_ax3_U QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_68)) _let_67 :args (_let_31 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.sK1_ax3_V QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_64)) _let_63 :args (_let_27 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.sK2_ax3_U QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_64)) _let_63 :args (_let_24 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.sK1_ax3_V tptp.sK2_ax3_U QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.op1 U V)))) :args (_let_60))) _let_61 :args (_let_21 false _let_60)) _let_59 _let_58 (ASSUME :args (_let_13)) :args (false false _let_57 false _let_56 false _let_55 false _let_54 false _let_50 false _let_48 false _let_46 false _let_45 false _let_44 false _let_43 false _let_42 false _let_41 false _let_40 false _let_39 false _let_37 false _let_35 false _let_31 false _let_27 false _let_24 false _let_21 false _let_18 false _let_17 true _let_12)) :args (_let_16 _let_15 _let_14 (forall ((V $$unsorted) (U $$unsorted)) (= (tptp.ifeq (tptp.sorti2 V) tptp.true (tptp.ifeq (tptp.sorti2 U) tptp.true (tptp.sorti2 (tptp.op2 U V)) tptp.true) tptp.true) tptp.true)) _let_13 _let_9 _let_7 _let_5 _let_4 _let_3 _let_2 (forall ((V $$unsorted)) (= (tptp.ifeq (tptp.sorti2 V) tptp.true (tptp.sorti1 (tptp.j V)) tptp.true) tptp.true)) _let_1 (forall ((X1 $$unsorted)) (= (tptp.ifeq2 (tptp.sorti2 X1) tptp.true (tptp.h (tptp.j X1)) X1) X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.35/0.54 )
% 0.35/0.54 % SZS output end Proof for ALG030-10
% 0.35/0.54 % cvc5---1.0.5 exiting
% 0.35/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------