TSTP Solution File: GRP702+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP702+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.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 00:27:14 EDT 2023
% Result : Theorem 0.21s 0.57s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP702+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n007.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 28 21:06:58 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.57 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.jxsUeIsnW4/cvc5---1.0.5_29181.p...
% 0.21/0.57 ------- get file name : TPTP file name is GRP702+1
% 0.21/0.57 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_29181.smt2...
% 0.21/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.57 % SZS status Theorem for GRP702+1
% 0.21/0.57 % SZS output start Proof for GRP702+1
% 0.21/0.57 (
% 0.21/0.57 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.mult X0 X1))) (and (= (tptp.mult tptp.op_d _let_1) (tptp.mult (tptp.mult tptp.op_d X0) X1)) (= (tptp.mult X0 (tptp.mult X1 tptp.op_d)) (tptp.mult _let_1 tptp.op_d)) (= (tptp.mult X0 (tptp.mult tptp.op_d X1)) (tptp.mult (tptp.mult X0 tptp.op_d) X1)))))))) (let ((_let_2 (forall ((A $$unsorted)) (= tptp.op_d (tptp.ld A (tptp.mult tptp.op_c A)))))) (let ((_let_3 (forall ((B $$unsorted) (A $$unsorted)) (= (tptp.mult A (tptp.mult tptp.op_c B)) (tptp.mult (tptp.mult A tptp.op_c) B))))) (let ((_let_4 (forall ((B $$unsorted) (A $$unsorted)) (= (tptp.mult A (tptp.mult B tptp.op_c)) (tptp.mult (tptp.mult A B) tptp.op_c))))) (let ((_let_5 (forall ((B $$unsorted) (A $$unsorted)) (= (tptp.mult tptp.op_c (tptp.mult A B)) (tptp.mult (tptp.mult tptp.op_c A) B))))) (let ((_let_6 (forall ((A $$unsorted)) (= (tptp.mult A tptp.unit) A)))) (let ((_let_7 (forall ((B $$unsorted) (A $$unsorted)) (= (tptp.rd (tptp.mult A B) B) A)))) (let ((_let_8 (forall ((B $$unsorted) (A $$unsorted)) (= (tptp.mult (tptp.rd A B) B) A)))) (let ((_let_9 (forall ((B $$unsorted) (A $$unsorted)) (= (tptp.ld A (tptp.mult A B)) B)))) (let ((_let_10 (forall ((B $$unsorted) (A $$unsorted)) (= (tptp.mult A (tptp.ld A B)) B)))) (let ((_let_11 (forall ((BOUND_VARIABLE_743 $$unsorted) (BOUND_VARIABLE_745 $$unsorted)) (= (tptp.mult BOUND_VARIABLE_743 (tptp.mult tptp.op_d BOUND_VARIABLE_745)) (tptp.mult (tptp.mult BOUND_VARIABLE_743 tptp.op_d) BOUND_VARIABLE_745))))) (let ((_let_12 (forall ((BOUND_VARIABLE_721 $$unsorted) (BOUND_VARIABLE_723 $$unsorted)) (= (tptp.mult tptp.op_d (tptp.mult BOUND_VARIABLE_721 BOUND_VARIABLE_723)) (tptp.mult (tptp.mult tptp.op_d BOUND_VARIABLE_721) BOUND_VARIABLE_723))))) (let ((_let_13 (forall ((BOUND_VARIABLE_732 $$unsorted) (BOUND_VARIABLE_734 $$unsorted)) (= (tptp.mult BOUND_VARIABLE_732 (tptp.mult BOUND_VARIABLE_734 tptp.op_d)) (tptp.mult (tptp.mult BOUND_VARIABLE_732 BOUND_VARIABLE_734) tptp.op_d))))) (let ((_let_14 (= (tptp.mult SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.mult tptp.op_d SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (tptp.mult (tptp.mult SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.op_d) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_15 (= (tptp.mult SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.mult tptp.op_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (tptp.mult (tptp.mult SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.op_c) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_16 (tptp.mult tptp.op_c tptp.unit))) (let ((_let_17 (tptp.mult _let_16 tptp.unit))) (let ((_let_18 (= _let_16 (tptp.rd _let_17 tptp.unit)))) (let ((_let_19 (tptp.mult tptp.unit tptp.unit))) (let ((_let_20 (tptp.mult (tptp.rd tptp.op_c _let_19) tptp.unit))) (let ((_let_21 (= _let_20 (tptp.rd (tptp.mult _let_20 tptp.unit) tptp.unit)))) (let ((_let_22 (tptp.mult tptp.unit tptp.op_c))) (let ((_let_23 (tptp.mult tptp.unit _let_22))) (let ((_let_24 (= _let_22 (tptp.ld tptp.unit _let_23)))) (let ((_let_25 (tptp.mult tptp.unit _let_16))) (let ((_let_26 (= _let_16 (tptp.ld tptp.unit _let_25)))) (let ((_let_27 (tptp.mult tptp.unit (tptp.ld _let_19 tptp.op_c)))) (let ((_let_28 (= _let_27 (tptp.ld tptp.unit (tptp.mult tptp.unit _let_27))))) (let ((_let_29 (= tptp.op_d (tptp.ld tptp.unit _let_16)))) (let ((_let_30 (= _let_25 (tptp.mult _let_22 tptp.unit)))) (let ((_let_31 (= _let_23 (tptp.mult _let_19 tptp.op_c)))) (let ((_let_32 (= (tptp.mult tptp.op_c _let_19) _let_17))) (let ((_let_33 (= tptp.unit _let_19))) (let ((_let_34 (= tptp.op_c (tptp.mult (tptp.rd tptp.op_c tptp.unit) tptp.unit)))) (let ((_let_35 (= tptp.op_c (tptp.mult tptp.unit (tptp.ld tptp.unit tptp.op_c))))) (let ((_let_36 (_let_3))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (forall ((B $$unsorted) (A $$unsorted)) (= A (tptp.rd (tptp.mult A B) B))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (_let_38))) (let ((_let_41 ((tptp.mult A B)))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.unit _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_40)) _let_39 :args (_let_18 false _let_38)))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.unit _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_40)) _let_39 :args (_let_21 false _let_38)))) (let ((_let_44 (forall ((B $$unsorted) (A $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (_let_44))) (let ((_let_47 ((tptp.mult A B)))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_22 tptp.unit QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_46)) _let_45 :args (_let_24 false _let_44)))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_16 tptp.unit QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_46)) _let_45 :args (_let_26 false _let_44)))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_27 tptp.unit QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_46)) _let_45 :args (_let_28 false _let_44)))) (let ((_let_51 (_let_2))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 (tptp.unit QUANTIFIERS_INST_ENUM))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args _let_53) :args _let_51)) _let_52 :args (_let_29 false _let_2)))) (let ((_let_55 (tptp.unit tptp.unit QUANTIFIERS_INST_ENUM))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args _let_55) :args _let_36)) _let_37 :args (_let_30 false _let_3)))) (let ((_let_57 (_let_4))) (let ((_let_58 (ASSUME :args _let_57))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args _let_55) :args _let_57)) _let_58 :args (_let_31 false _let_4)))) (let ((_let_60 (_let_5))) (let ((_let_61 (ASSUME :args _let_60))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args _let_55) :args _let_60)) _let_61 :args (_let_32 false _let_5)))) (let ((_let_63 (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit))))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args _let_53) :args (_let_63))) _let_64 :args (_let_33 false _let_63)))) (let ((_let_66 (forall ((B $$unsorted) (A $$unsorted)) (= A (tptp.mult (tptp.rd A B) B))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.unit tptp.op_c QUANTIFIERS_INST_ENUM)) :args (_let_66))) _let_67 :args (_let_34 false _let_66)))) (let ((_let_69 (forall ((B $$unsorted) (A $$unsorted)) (= B (tptp.mult A (tptp.ld A B)))))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.op_c tptp.unit QUANTIFIERS_INST_ENUM)) :args (_let_69))) _let_70 :args (_let_35 false _let_69)))) (let ((_let_72 (not _let_18))) (let ((_let_73 (not _let_21))) (let ((_let_74 (not _let_24))) (let ((_let_75 (not _let_26))) (let ((_let_76 (not _let_28))) (let ((_let_77 (not _let_29))) (let ((_let_78 (not _let_30))) (let ((_let_79 (not _let_31))) (let ((_let_80 (not _let_32))) (let ((_let_81 (not _let_33))) (let ((_let_82 (not _let_34))) (let ((_let_83 (not _let_35))) (let ((_let_84 (and _let_35 _let_34 _let_33 _let_32 _let_31 _let_30 _let_29 _let_28 _let_26 _let_24 _let_21 _let_18 _let_15))) (let ((_let_85 (APPLY_UF tptp.mult))) (let ((_let_86 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_87 (ASSUME :args (_let_29)))) (let ((_let_88 (SYMM _let_87))) (let ((_let_89 (APPLY_UF tptp.ld))) (let ((_let_90 (ASSUME :args (_let_33)))) (let ((_let_91 (SYMM _let_90))) (let ((_let_92 (REFL :args (tptp.unit)))) (let ((_let_93 (TRANS (CONG _let_92 _let_91 :args _let_85) _let_91))) (let ((_let_94 (ASSUME :args (_let_35)))) (let ((_let_95 (REFL :args (tptp.op_c)))) (let ((_let_96 (CONG _let_92 (CONG _let_91 _let_95 :args _let_89) :args _let_85))) (let ((_let_97 (ASSUME :args (_let_28)))) (let ((_let_98 (ASSUME :args (_let_31)))) (let ((_let_99 (ASSUME :args (_let_24)))) (let ((_let_100 (ASSUME :args (_let_30)))) (let ((_let_101 (CONG _let_92 (TRANS (SYMM (SYMM _let_100)) (CONG (REFL :args (_let_22)) (SYMM _let_93) :args _let_85) (CONG (TRANS (SYMM (SYMM _let_99)) (CONG _let_92 (TRANS (SYMM (SYMM _let_98)) (CONG _let_91 _let_95 :args _let_85) (CONG _let_92 (TRANS _let_94 (SYMM _let_96)) :args _let_85)) :args _let_89) (SYMM _let_97) _let_96 (SYMM _let_94)) _let_93 :args _let_85)) :args _let_89))) (let ((_let_102 (ASSUME :args (_let_26)))) (let ((_let_103 (SYMM (SYMM _let_102)))) (let ((_let_104 (ASSUME :args (_let_18)))) (let ((_let_105 (SYMM _let_104))) (let ((_let_106 (APPLY_UF tptp.rd))) (let ((_let_107 (ASSUME :args (_let_32)))) (let ((_let_108 (ASSUME :args (_let_34)))) (let ((_let_109 (CONG (CONG _let_95 _let_91 :args _let_106) _let_92 :args _let_85))) (let ((_let_110 (CONG (TRANS (CONG (TRANS _let_109 (SYMM _let_108)) _let_92 :args _let_85) (CONG _let_95 _let_90 :args _let_85) (SYMM (SYMM _let_107))) _let_92 :args _let_106))) (let ((_let_111 (ASSUME :args (_let_21)))) (let ((_let_112 (SYMM (SYMM _let_111)))) (let ((_let_113 (SYMM _let_109))) (let ((_let_114 (TRANS _let_108 _let_113 _let_112 _let_110 _let_105 _let_103 _let_101 _let_88))) (let ((_let_115 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_116 (ASSUME :args (_let_15)))) (let ((_let_117 (SYMM _let_114))) (let ((_let_118 (or))) (let ((_let_119 (not _let_11))) (let ((_let_120 (_let_119))) (let ((_let_121 (tptp.mult SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_122 (= (tptp.mult tptp.op_d _let_121) (tptp.mult (tptp.mult tptp.op_d SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_123 (= (tptp.mult tptp.op_c _let_121) (tptp.mult (tptp.mult tptp.op_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_124 (and _let_35 _let_34 _let_33 _let_32 _let_31 _let_30 _let_29 _let_28 _let_26 _let_24 _let_21 _let_18 _let_123))) (let ((_let_125 (TRANS (TRANS _let_108 _let_113 _let_112 _let_110 _let_105) (TRANS _let_103 _let_101 _let_88)))) (let ((_let_126 (ASSUME :args (_let_123)))) (let ((_let_127 (not _let_12))) (let ((_let_128 (_let_127))) (let ((_let_129 (tptp.mult SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_130 (= (tptp.mult SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 (tptp.mult SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.op_d)) (tptp.mult _let_129 tptp.op_d)))) (let ((_let_131 (= (tptp.mult SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 (tptp.mult SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.op_c)) (tptp.mult _let_129 tptp.op_c)))) (let ((_let_132 (and _let_35 _let_34 _let_33 _let_32 _let_31 _let_30 _let_29 _let_28 _let_26 _let_24 _let_21 _let_18 _let_131))) (let ((_let_133 (ASSUME :args (_let_131)))) (let ((_let_134 (not _let_13))) (let ((_let_135 (_let_134))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_135)) :args _let_135)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_134) _let_13))) (REFL :args ((not _let_130))) :args _let_118)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_132)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_87 _let_94 _let_90 _let_97 _let_98 _let_99 _let_100 _let_102 _let_104 _let_107 _let_108 _let_111 _let_133) (SCOPE (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) _let_117 :args _let_85) :args _let_85) (SYMM (SYMM _let_133)) (CONG (REFL :args (_let_129)) _let_114 :args _let_85)) :args (_let_29 _let_35 _let_33 _let_28 _let_31 _let_24 _let_30 _let_26 _let_18 _let_32 _let_34 _let_21 _let_131))) :args (_let_35 _let_34 _let_33 _let_32 _let_31 _let_30 _let_29 _let_28 _let_26 _let_24 _let_21 _let_18 _let_131))) :args (true _let_132)) :args ((or _let_130 _let_83 _let_82 _let_81 _let_80 _let_79 _let_78 _let_77 _let_76 _let_75 _let_74 _let_73 _let_72 (not _let_131)))) _let_71 _let_68 _let_65 _let_62 _let_59 _let_56 _let_54 _let_50 _let_49 _let_48 _let_43 _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((tptp.mult A (tptp.mult B tptp.op_c))))) :args _let_57)) _let_58 :args (_let_131 false _let_4)) :args (_let_130 false _let_35 false _let_34 false _let_33 false _let_32 false _let_31 false _let_30 false _let_29 false _let_28 false _let_26 false _let_24 false _let_21 false _let_18 false _let_131)) :args (_let_13 false _let_130)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_128)) :args _let_128)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_127) _let_12))) (REFL :args ((not _let_122))) :args _let_118)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_124)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_87 _let_94 _let_90 _let_97 _let_98 _let_99 _let_100 _let_102 _let_104 _let_107 _let_108 _let_111 _let_126) (SCOPE (TRANS (CONG (SYMM _let_125) (REFL :args (_let_121)) :args _let_85) (SYMM (SYMM _let_126)) (CONG (CONG _let_125 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) :args _let_85) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) :args _let_85)) :args (_let_29 _let_35 _let_33 _let_28 _let_31 _let_24 _let_30 _let_26 _let_18 _let_32 _let_34 _let_21 _let_123))) :args (_let_35 _let_34 _let_33 _let_32 _let_31 _let_30 _let_29 _let_28 _let_26 _let_24 _let_21 _let_18 _let_123))) :args (true _let_124)) :args ((or _let_122 _let_83 _let_82 _let_81 _let_80 _let_79 _let_78 _let_77 _let_76 _let_75 _let_74 _let_73 _let_72 (not _let_123)))) _let_71 _let_68 _let_65 _let_62 _let_59 _let_56 _let_54 _let_50 _let_49 _let_48 _let_43 _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((tptp.mult tptp.op_c (tptp.mult A B))))) :args _let_60)) _let_61 :args (_let_123 false _let_5)) :args (_let_122 false _let_35 false _let_34 false _let_33 false _let_32 false _let_31 false _let_30 false _let_29 false _let_28 false _let_26 false _let_24 false _let_21 false _let_18 false _let_123)) :args (_let_12 false _let_122)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_120)) :args _let_120)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_119) _let_11))) (REFL :args ((not _let_14))) :args _let_118)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_84)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_87 _let_94 _let_90 _let_97 _let_98 _let_99 _let_100 _let_102 _let_104 _let_107 _let_108 _let_111 _let_116) (SCOPE (TRANS (CONG _let_115 (CONG _let_117 _let_86 :args _let_85) :args _let_85) (SYMM (SYMM _let_116)) (CONG (CONG _let_115 _let_114 :args _let_85) _let_86 :args _let_85)) :args (_let_29 _let_35 _let_33 _let_28 _let_31 _let_24 _let_30 _let_26 _let_18 _let_32 _let_34 _let_21 _let_15))) :args (_let_35 _let_34 _let_33 _let_32 _let_31 _let_30 _let_29 _let_28 _let_26 _let_24 _let_21 _let_18 _let_15))) :args (true _let_84)) :args ((or _let_14 _let_83 _let_82 _let_81 _let_80 _let_79 _let_78 _let_77 _let_76 _let_75 _let_74 _let_73 _let_72 (not _let_15)))) _let_71 _let_68 _let_65 _let_62 _let_59 _let_56 _let_54 _let_50 _let_49 _let_48 _let_43 _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((tptp.mult A (tptp.mult tptp.op_c B))))) :args _let_36)) _let_37 :args (_let_15 false _let_3)) :args (_let_14 false _let_35 false _let_34 false _let_33 false _let_32 false _let_31 false _let_30 false _let_29 false _let_28 false _let_26 false _let_24 false _let_21 false _let_18 false _let_15)) :args (_let_11 false _let_14)) :args (false false _let_13 false _let_12 false _let_11)) :args (_let_10 _let_9 _let_8 _let_7 _let_6 (forall ((A $$unsorted)) (= (tptp.mult tptp.unit A) A)) (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.mult A (tptp.mult B (tptp.mult B C))) (tptp.mult (tptp.mult (tptp.mult A B) B) C))) _let_5 _let_4 _let_3 _let_2 (forall ((B $$unsorted) (A $$unsorted)) (= tptp.op_e (tptp.mult (tptp.mult (tptp.rd tptp.op_c (tptp.mult A B)) B) A))) (forall ((B $$unsorted) (A $$unsorted)) (= tptp.op_f (tptp.mult A (tptp.mult B (tptp.ld (tptp.mult A B) tptp.op_c))))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.57 )
% 0.21/0.57 % SZS output end Proof for GRP702+1
% 0.21/0.57 % cvc5---1.0.5 exiting
% 0.21/0.57 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------