TSTP Solution File: ALG074+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ALG074+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n015.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 16:08:07 EDT 2023
% Result : Theorem 0.20s 0.53s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ALG074+1 : TPTP v8.1.2. Released v2.7.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n015.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 06:04:09 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.53 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.DoPUMiITVP/cvc5---1.0.5_15318.p...
% 0.20/0.53 ------- get file name : TPTP file name is ALG074+1
% 0.20/0.53 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_15318.smt2...
% 0.20/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.53 % SZS status Theorem for ALG074+1
% 0.20/0.53 % SZS output start Proof for ALG074+1
% 0.20/0.53 (
% 0.20/0.53 (let ((_let_1 (not (=> (and (forall ((U $$unsorted)) (=> (tptp.sorti1 U) (tptp.sorti2 (tptp.h U)))) (forall ((V $$unsorted)) (=> (tptp.sorti2 V) (tptp.sorti1 (tptp.j V))))) (not (and (forall ((W $$unsorted)) (=> (tptp.sorti1 W) (forall ((X $$unsorted)) (=> (tptp.sorti1 X) (= (tptp.h (tptp.op1 W X)) (tptp.op2 (tptp.h W) (tptp.h X))))))) (forall ((Y $$unsorted)) (=> (tptp.sorti2 Y) (forall ((Z $$unsorted)) (=> (tptp.sorti2 Z) (= (tptp.j (tptp.op2 Y Z)) (tptp.op1 (tptp.j Y) (tptp.j Z))))))) (forall ((X1 $$unsorted)) (=> (tptp.sorti2 X1) (= (tptp.h (tptp.j X1)) X1))) (forall ((X2 $$unsorted)) (=> (tptp.sorti1 X2) (= (tptp.j (tptp.h X2)) X2))))))))) (let ((_let_2 (not (exists ((U $$unsorted)) (and (tptp.sorti2 U) (exists ((V $$unsorted)) (let ((_let_1 (tptp.op2 U V))) (and (tptp.sorti2 V) (not (= (tptp.op2 V U) _let_1)) (= (tptp.op2 _let_1 V) U) (not (= (tptp.op2 _let_1 U) V)))))))))) (let ((_let_3 (exists ((U $$unsorted)) (and (tptp.sorti1 U) (exists ((V $$unsorted)) (let ((_let_1 (tptp.op1 U V))) (and (tptp.sorti1 V) (not (= (tptp.op1 V U) _let_1)) (= (tptp.op1 _let_1 V) U) (not (= (tptp.op1 _let_1 U) V))))))))) (let ((_let_4 (forall ((U $$unsorted)) (=> (tptp.sorti1 U) (forall ((V $$unsorted)) (=> (tptp.sorti1 V) (tptp.sorti1 (tptp.op1 U V)))))))) (let ((_let_5 (tptp.op1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_6 (tptp.op1 _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_7 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_6))) (let ((_let_8 (tptp.h SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_9 (tptp.h SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_10 (tptp.op2 _let_9 _let_8))) (let ((_let_11 (tptp.h _let_5))) (let ((_let_12 (= _let_11 _let_10))) (let ((_let_13 (tptp.j _let_8))) (let ((_let_14 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13))) (let ((_let_15 (tptp.h _let_6))) (let ((_let_16 (= _let_15 (tptp.op2 _let_11 _let_9)))) (let ((_let_17 (= _let_6 (tptp.j _let_15)))) (let ((_let_18 (= _let_8 (tptp.op2 _let_10 _let_9)))) (let ((_let_19 (tptp.op1 _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_20 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.op1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (= _let_5 _let_22))) (let ((_let_24 (tptp.sorti1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.sorti1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_27 _let_25 _let_23 _let_21 _let_7))) (let ((_let_29 (forall ((U $$unsorted) (BOUND_VARIABLE_777 $$unsorted)) (let ((_let_1 (tptp.op1 U BOUND_VARIABLE_777))) (or (not (tptp.sorti1 U)) (not (tptp.sorti1 BOUND_VARIABLE_777)) (= _let_1 (tptp.op1 BOUND_VARIABLE_777 U)) (not (= U (tptp.op1 _let_1 BOUND_VARIABLE_777))) (= BOUND_VARIABLE_777 (tptp.op1 _let_1 U))))))) (let ((_let_30 (not _let_28))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (or))) (let ((_let_33 (not _let_29))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_31) :args (_let_33))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_29))) (REFL :args (_let_30)) :args _let_32)) _let_31 :args (_let_30 true _let_29)))) (let ((_let_35 (or _let_27 _let_25 _let_12))) (let ((_let_36 (forall ((W $$unsorted) (BOUND_VARIABLE_856 $$unsorted)) (or (not (tptp.sorti1 W)) (not (tptp.sorti1 BOUND_VARIABLE_856)) (= (tptp.h (tptp.op1 W BOUND_VARIABLE_856)) (tptp.op2 (tptp.h W) (tptp.h BOUND_VARIABLE_856))))))) (let ((_let_37 (0))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (NOT_NOT_ELIM (NOT_IMPLIES_ELIM2 _let_38)))) (let ((_let_40 (AND_ELIM _let_39 :args _let_37))) (let ((_let_41 (_let_36))) (let ((_let_42 ((tptp.op1 W BOUND_VARIABLE_856)))) (let ((_let_43 (ASSUME :args _let_41))) (let ((_let_44 (REFL :args (_let_28)))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 1)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_32)) :args ((or _let_24 _let_28))) _let_34 :args (_let_24 true _let_28)))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 0)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) :args _let_32)) :args ((or _let_26 _let_28))) _let_34 :args (_let_26 true _let_28)))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_27 _let_25 _let_12 (not _let_35)))) _let_46 _let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_41)) _let_40 :args (_let_35 false _let_36)) :args (_let_12 false _let_26 false _let_24 false _let_35)))) (let ((_let_48 (or _let_25 _let_14))) (let ((_let_49 (forall ((X2 $$unsorted)) (or (not (tptp.sorti1 X2)) (= X2 (tptp.j (tptp.h X2))))))) (let ((_let_50 (AND_ELIM _let_39 :args (3)))) (let ((_let_51 (_let_49))) (let ((_let_52 ((not (= (tptp.sorti1 X2) false))))) (let ((_let_53 (ASSUME :args _let_51))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_25 _let_14 (not _let_48)))) _let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_48 false _let_49)) :args (_let_14 false _let_24 false _let_48)))) (let ((_let_55 (tptp.sorti1 _let_5))) (let ((_let_56 (not _let_55))) (let ((_let_57 (or _let_56 _let_27 _let_16))) (let ((_let_58 (or _let_27 _let_25 _let_55))) (let ((_let_59 (forall ((U $$unsorted) (BOUND_VARIABLE_720 $$unsorted)) (or (not (tptp.sorti1 U)) (not (tptp.sorti1 BOUND_VARIABLE_720)) (tptp.sorti1 (tptp.op1 U BOUND_VARIABLE_720)))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (_let_59))) (let ((_let_62 ((tptp.op1 U BOUND_VARIABLE_720)))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_27 _let_25 _let_55 (not _let_58)))) _let_46 _let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_61)) _let_60 :args (_let_58 false _let_59)) :args (_let_55 false _let_26 false _let_24 false _let_58)))) (let ((_let_64 (tptp.sorti1 _let_6))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_17))) (let ((_let_67 (or _let_56 _let_27 _let_64))) (let ((_let_68 (= _let_9 (tptp.op2 _let_10 _let_8)))) (let ((_let_69 (not _let_68))) (let ((_let_70 (tptp.op2 _let_8 _let_9))) (let ((_let_71 (= _let_10 _let_70))) (let ((_let_72 (tptp.sorti2 _let_8))) (let ((_let_73 (not _let_72))) (let ((_let_74 (tptp.sorti2 _let_9))) (let ((_let_75 (not _let_74))) (let ((_let_76 (or _let_75 _let_73 _let_71 _let_69 _let_18))) (let ((_let_77 (forall ((U $$unsorted) (BOUND_VARIABLE_820 $$unsorted)) (let ((_let_1 (tptp.op2 U BOUND_VARIABLE_820))) (or (not (tptp.sorti2 U)) (not (tptp.sorti2 BOUND_VARIABLE_820)) (= _let_1 (tptp.op2 BOUND_VARIABLE_820 U)) (not (= U (tptp.op2 _let_1 BOUND_VARIABLE_820))) (= BOUND_VARIABLE_820 (tptp.op2 _let_1 U))))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (= (tptp.h _let_19) (tptp.op2 _let_11 _let_8)))) (let ((_let_80 (or _let_56 _let_25 _let_79))) (let ((_let_81 (and _let_20 _let_12 _let_79))) (let ((_let_82 (APPLY_UF tptp.op2))) (let ((_let_83 (ASSUME :args (_let_12)))) (let ((_let_84 (SYMM _let_83))) (let ((_let_85 (SYMM _let_84))) (let ((_let_86 (ASSUME :args (_let_79)))) (let ((_let_87 (ASSUME :args (_let_20)))) (let ((_let_88 (tptp.j _let_9))) (let ((_let_89 (= (tptp.j _let_10) (tptp.op1 _let_88 _let_13)))) (let ((_let_90 (= (tptp.j _let_70) (tptp.op1 _let_13 _let_88)))) (let ((_let_91 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_88))) (let ((_let_92 (= (tptp.h _let_22) _let_70))) (let ((_let_93 (not _let_71))) (let ((_let_94 (or _let_75 _let_73 _let_89))) (let ((_let_95 (forall ((Y $$unsorted) (BOUND_VARIABLE_879 $$unsorted)) (or (not (tptp.sorti2 Y)) (not (tptp.sorti2 BOUND_VARIABLE_879)) (= (tptp.j (tptp.op2 Y BOUND_VARIABLE_879)) (tptp.op1 (tptp.j Y) (tptp.j BOUND_VARIABLE_879))))))) (let ((_let_96 (AND_ELIM _let_39 :args (1)))) (let ((_let_97 (_let_95))) (let ((_let_98 ((tptp.op2 Y BOUND_VARIABLE_879)))) (let ((_let_99 (ASSUME :args _let_97))) (let ((_let_100 (or _let_25 _let_72))) (let ((_let_101 (forall ((U $$unsorted)) (or (not (tptp.sorti1 U)) (tptp.sorti2 (tptp.h U)))))) (let ((_let_102 (AND_ELIM (NOT_IMPLIES_ELIM1 _let_38) :args _let_37))) (let ((_let_103 (_let_101))) (let ((_let_104 ((not (= (tptp.sorti1 U) false))))) (let ((_let_105 (ASSUME :args _let_103))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_25 _let_72 (not _let_100)))) _let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_104)) :args _let_103)) _let_102 :args (_let_100 false _let_101)) :args (_let_72 false _let_24 false _let_100)))) (let ((_let_107 (or _let_27 _let_74))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_107)) :args ((or _let_27 _let_74 (not _let_107)))) _let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_104)) :args _let_103)) _let_102 :args (_let_107 false _let_101)) :args (_let_74 false _let_26 false _let_107)))) (let ((_let_109 (or _let_73 _let_75 _let_90))) (let ((_let_110 (or _let_27 _let_91))) (let ((_let_111 (or _let_25 _let_27 _let_92))) (let ((_let_112 (not _let_14))) (let ((_let_113 (not _let_12))) (let ((_let_114 (and _let_12 _let_92 _let_91 _let_14 _let_71 _let_90 _let_89))) (let ((_let_115 (APPLY_UF tptp.op1))) (let ((_let_116 (ASSUME :args (_let_91)))) (let ((_let_117 (ASSUME :args (_let_14)))) (let ((_let_118 (SYMM _let_117))) (let ((_let_119 (ASSUME :args (_let_90)))) (let ((_let_120 (APPLY_UF tptp.j))) (let ((_let_121 (ASSUME :args (_let_92)))) (let ((_let_122 (SYMM _let_121))) (let ((_let_123 (ASSUME :args (_let_71)))) (let ((_let_124 (ASSUME :args (_let_89)))) (let ((_let_125 (and _let_12 _let_16 _let_14 _let_18 _let_17))) (let ((_let_126 (ASSUME :args (_let_17)))) (let ((_let_127 (ASSUME :args (_let_16)))) (let ((_let_128 (ASSUME :args (_let_18)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_125)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_126 _let_127 _let_83 _let_128 _let_117) (SCOPE (TRANS (SYMM _let_118) (CONG (TRANS (SYMM (SYMM _let_128)) (CONG _let_84 (REFL :args (_let_9)) :args _let_82)) :args _let_120) (CONG (SYMM _let_127) :args _let_120) (SYMM _let_126)) :args (_let_17 _let_16 _let_12 _let_18 _let_14))) :args (_let_12 _let_16 _let_14 _let_18 _let_17))) :args (true _let_125)) :args ((or _let_7 _let_113 (not _let_16) _let_112 (not _let_18) (not _let_17)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_75 _let_73 _let_71 _let_69 _let_18 (not _let_76)))) _let_108 _let_106 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_114)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_117 _let_116 _let_119 _let_121 _let_123 _let_83 _let_124) (SCOPE (TRANS (CONG _let_116 _let_117 :args _let_115) (SYMM _let_124) (CONG _let_84 :args _let_120) (CONG (TRANS _let_85 (SYMM (SYMM _let_123)) _let_122) :args _let_120) (CONG (SYMM _let_122) :args _let_120) (SYMM (SYMM _let_119)) (CONG _let_118 (SYMM _let_116) :args _let_115)) :args (_let_14 _let_91 _let_90 _let_92 _let_71 _let_12 _let_89))) :args (_let_12 _let_92 _let_91 _let_14 _let_71 _let_90 _let_89))) :args (true _let_114)) :args ((or _let_23 _let_113 (not _let_92) (not _let_91) _let_112 _let_93 (not _let_90) (not _let_89)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_28 2)) _let_34 :args ((not _let_23) true _let_28)) _let_47 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_27 _let_25 _let_92 (not _let_111)))) _let_46 _let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_41)) _let_40 :args (_let_111 false _let_36)) :args (_let_92 false _let_26 false _let_24 false _let_111)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_110)) :args ((or _let_27 _let_91 (not _let_110)))) _let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_110 false _let_49)) :args (_let_91 false _let_26 false _let_110)) _let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_75 _let_73 _let_90 (not _let_109)))) _let_108 _let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_8 _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_98)) :args _let_97)) _let_96 :args (_let_109 false _let_95)) :args (_let_90 false _let_74 false _let_72 false _let_109)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_75 _let_73 _let_89 (not _let_94)))) _let_108 _let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_9 _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_98)) :args _let_97)) _let_96 :args (_let_94 false _let_95)) :args (_let_89 false _let_74 false _let_72 false _let_94)) :args (_let_93 true _let_23 false _let_12 false _let_92 false _let_91 false _let_14 false _let_90 false _let_89)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_81)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_83 _let_86 _let_87) (SCOPE (TRANS (CONG (SYMM (SYMM _let_87)) :args (APPLY_UF tptp.h)) (SYMM (SYMM _let_86)) (CONG _let_85 (REFL :args (_let_8)) :args _let_82)) :args (_let_12 _let_79 _let_20))) :args (_let_20 _let_12 _let_79))) :args (true _let_81)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 3)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_32)) :args ((or _let_20 _let_28))) _let_34 :args (_let_20 true _let_28)) _let_47 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_25 _let_56 _let_79 (not _let_80)))) _let_45 _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_41)) _let_40 :args (_let_80 false _let_36)) :args (_let_79 false _let_24 false _let_55 false _let_80)) :args (_let_68 false _let_20 false _let_12 false _let_79)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_9 _let_8 QUANTIFIERS_INST_E_MATCHING ((tptp.op2 (tptp.op2 U BOUND_VARIABLE_820) BOUND_VARIABLE_820)))) :args (_let_77))) _let_78 :args (_let_76 false _let_77)) :args (_let_18 false _let_74 false _let_72 true _let_71 false _let_68 false _let_76)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_65 _let_17 (not _let_66)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_27 _let_56 _let_64 (not _let_67)))) _let_46 _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_61)) _let_60 :args (_let_67 false _let_59)) :args (_let_64 false _let_26 false _let_55 false _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_66 false _let_49)) :args (_let_17 false _let_64 false _let_66)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_27 _let_56 _let_16 (not _let_57)))) _let_46 _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_41)) _let_40 :args (_let_57 false _let_36)) :args (_let_16 false _let_26 false _let_55 false _let_57)) _let_54 _let_47 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_28 4)) _let_34 :args ((not _let_7) true _let_28)) :args (false false _let_18 false _let_17 false _let_16 false _let_14 false _let_12 true _let_7)) :args (_let_4 (forall ((U $$unsorted)) (=> (tptp.sorti2 U) (forall ((V $$unsorted)) (=> (tptp.sorti2 V) (tptp.sorti2 (tptp.op2 U V)))))) _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.53 )
% 0.20/0.53 % SZS output end Proof for ALG074+1
% 0.20/0.53 % cvc5---1.0.5 exiting
% 0.20/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------