TSTP Solution File: KLE029+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE029+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n016.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 05:26:58 EDT 2023
% Result : Theorem 0.57s 0.81s
% Output : Proof 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : KLE029+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : do_cvc5 %s %d
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 12:17:16 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.57/0.81 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.mHjnLOMpVv/cvc5---1.0.5_25522.p...
% 0.57/0.81 ------- get file name : TPTP file name is KLE029+1
% 0.57/0.81 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_25522.smt2...
% 0.57/0.81 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.57/0.81 % SZS status Theorem for KLE029+1
% 0.57/0.81 % SZS output start Proof for KLE029+1
% 0.57/0.81 (
% 0.57/0.81 (let ((_let_1 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (= (tptp.ismeet X0 X1 X2) (tptp.ismeetu X0 X1 X2))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (= (tptp.ismeetu X2 X0 X1) (forall ((X3 $$unsorted)) (= (and (tptp.leq X3 X0) (tptp.leq X3 X1)) (tptp.leq X3 X2))))))) (let ((_let_4 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (= (tptp.ismeet X2 X0 X1) (and (tptp.leq X2 X0) (tptp.leq X2 X1) (forall ((X3 $$unsorted)) (=> (and (tptp.leq X3 X0) (tptp.leq X3 X1)) (tptp.leq X3 X2)))))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (let ((_let_6 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_7 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_8 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_9 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_10 (and _let_9 _let_8))) (let ((_let_11 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_12 (= _let_10 _let_11))) (let ((_let_13 (not _let_8))) (let ((_let_14 (not _let_9))) (let ((_let_15 (or _let_14 _let_13 _let_11))) (let ((_let_16 (not _let_10))) (let ((_let_17 (forall ((X3 $$unsorted)) (= (and (tptp.leq X3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.leq X3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.leq X3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_18 (not _let_12))) (let ((_let_19 (tptp.ismeetu SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_20 (= _let_19 _let_17))) (let ((_let_21 (not _let_17))) (let ((_let_22 (_let_3))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ismeetu X2 X0 X1)))) :args _let_22)) _let_23 :args (_let_20 false _let_3)))) (let ((_let_25 (tptp.ismeet SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_26 (= _let_25 _let_19))) (let ((_let_27 (not _let_19))) (let ((_let_28 (forall ((X3 $$unsorted)) (or (not (tptp.leq X3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.leq X3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.leq X3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_29 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_30 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_31 (and _let_30 _let_29 _let_28))) (let ((_let_32 (= _let_25 _let_31))) (let ((_let_33 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_34 (and _let_30 _let_29))) (let ((_let_35 (= _let_34 _let_33))) (let ((_let_36 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_37 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_38 (and _let_37 _let_36))) (let ((_let_39 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_40 (= _let_39 _let_38))) (let ((_let_41 (not _let_36))) (let ((_let_42 (not _let_37))) (let ((_let_43 (or _let_42 _let_41 _let_39))) (let ((_let_44 (not _let_26))) (let ((_let_45 (_let_2))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (or))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_46) :args _let_45)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_44)) :args _let_47)) _let_46 :args (_let_44 true _let_1)))) (let ((_let_49 (_let_26))) (let ((_let_50 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (= (tptp.ismeet X2 X0 X1) (and (tptp.leq X2 X0) (tptp.leq X2 X1) (forall ((X3 $$unsorted)) (or (not (tptp.leq X3 X0)) (not (tptp.leq X3 X1)) (tptp.leq X3 X2)))))))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ismeet X2 X0 X1)))) :args (_let_50))) _let_51 :args (_let_32 false _let_50)))) (let ((_let_53 (not _let_32))) (let ((_let_54 (not _let_31))) (let ((_let_55 (_let_32))) (let ((_let_56 (not _let_20))) (let ((_let_57 (_let_20))) (let ((_let_58 (_let_17))) (let ((_let_59 ((tptp.leq X3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_60 (ASSUME :args _let_58))) (let ((_let_61 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_62 (= _let_33 _let_61))) (let ((_let_63 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_65 (_let_63))) (let ((_let_66 ((tptp.leq A B)))) (let ((_let_67 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_69 (not _let_34))) (let ((_let_70 (not _let_28))) (let ((_let_71 (_let_70))) (let ((_let_72 (REFL :args (_let_43)))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_40)) :args ((or _let_39 (not _let_38) (not _let_40)))) (REORDERING (CNF_AND_NEG :args (_let_38)) :args ((or _let_42 _let_41 _let_38))) (CNF_OR_NEG :args (_let_43 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 1)) (CONG _let_72 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_36))) :args _let_47)) :args ((or _let_36 _let_43))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 0)) (CONG _let_72 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_37))) :args _let_47)) :args ((or _let_37 _let_43))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_71)) :args _let_71)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_70) _let_28))) (REFL :args ((not _let_43))) :args _let_47)) (CNF_AND_NEG :args (_let_31)) (REORDERING (CNF_AND_POS :args (_let_34 1)) :args ((or _let_29 _let_69))) (REORDERING (CNF_AND_POS :args (_let_34 0)) :args ((or _let_30 _let_69))) (REORDERING (CNF_EQUIV_POS2 :args (_let_35)) :args ((or _let_34 (not _let_33) (not _let_35)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_62)) :args ((or _let_33 (not _let_61) (not _let_62)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A A)))) :args (_let_67))) _let_68 :args (_let_61 false _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) _let_64 :args (_let_62 false _let_63)) :args (_let_33 false _let_61 false _let_62)) (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_60 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_58))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_58)) (REORDERING (CNF_EQUIV_POS1 :args _let_57) :args ((or _let_27 _let_17 _let_56))) _let_24 (REORDERING (CNF_EQUIV_POS2 :args _let_55) :args ((or _let_25 _let_54 _let_53))) _let_52 (REORDERING (CNF_EQUIV_NEG1 :args _let_49) :args ((or _let_25 _let_19 _let_26))) _let_48 :args (_let_25 false _let_38 true _let_39 false _let_36 false _let_37 true _let_43 true _let_28 false _let_29 false _let_30 false _let_34 false _let_33 false _let_40 false _let_35 false _let_17 false _let_20 true _let_31 false _let_32 false _let_19 true _let_26)))) (let ((_let_74 (_let_21))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_74)) :args _let_74)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_17))) (REFL :args (_let_18)) :args _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_57) :args ((or _let_19 _let_21 _let_56))) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_49) _let_48 _let_73 :args (_let_27 true _let_26 false _let_25)) _let_24 :args (_let_21 true _let_19 false _let_20)) :args (_let_18 true _let_17)))) (let ((_let_76 (_let_12))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_55) :args ((or (not _let_25) _let_31 _let_53))) _let_73 _let_52 :args (_let_31 false _let_25 false _let_32)))) (let ((_let_78 (_let_28))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_11 _let_14 _let_13 (not _let_15)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_78) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.leq X3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) false))))) :args _let_78)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_31 2)) :args ((or _let_28 _let_54))) _let_77 :args (_let_28 false _let_31)) :args (_let_15 false _let_28)) (CNF_EQUIV_NEG2 :args _let_76) _let_75 (REORDERING (CNF_AND_POS :args (_let_10 1)) :args ((or _let_8 _let_16))) (REORDERING (CNF_AND_POS :args (_let_10 0)) :args ((or _let_9 _let_16))) :args (_let_16 false _let_15 true _let_11 true _let_12 false _let_8 false _let_9)))) (let ((_let_80 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_81 (= _let_8 _let_80))) (let ((_let_82 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_83 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_84 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_83) (tptp.addition _let_82 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_85 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_82))) (let ((_let_86 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_83))) (let ((_let_87 (_let_7))) (let ((_let_88 (ASSUME :args _let_87))) (let ((_let_89 ((tptp.addition (tptp.addition A B) C)))) (let ((_let_90 (= _let_11 _let_85))) (let ((_let_91 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_90)) :args ((or (not _let_11) _let_85 (not _let_90)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_76) :args ((or _let_10 _let_11 _let_12))) _let_79 _let_75 :args (_let_11 true _let_10 true _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) _let_64 :args (_let_90 false _let_63)) :args (_let_85 false _let_11 false _let_90)))) (let ((_let_92 (= _let_29 _let_86))) (let ((_let_93 (not _let_85))) (let ((_let_94 (and _let_86 _let_85 _let_84))) (let ((_let_95 (APPLY_UF tptp.addition))) (let ((_let_96 (ASSUME :args (_let_86)))) (let ((_let_97 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_98 (ASSUME :args (_let_84)))) (let ((_let_99 (ASSUME :args (_let_85)))) (let ((_let_100 (SYMM (SYMM _let_99)))) (let ((_let_101 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_102 (= _let_9 _let_101))) (let ((_let_103 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_104 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_103) (tptp.addition _let_82 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_105 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_103))) (let ((_let_106 (= _let_30 _let_105))) (let ((_let_107 (and _let_105 _let_85 _let_104))) (let ((_let_108 (ASSUME :args (_let_105)))) (let ((_let_109 (ASSUME :args (_let_104)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_102)) :args ((or _let_9 (not _let_101) (not _let_102)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_107)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_108 _let_109 _let_99) (SCOPE (TRANS _let_108 (CONG _let_100 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) :args _let_95) (SYMM _let_109) (CONG _let_97 (SYMM _let_108) :args _let_95)) :args (_let_105 _let_104 _let_85))) :args (_let_105 _let_85 _let_104))) :args (true _let_107)) :args ((or (not _let_105) _let_101 _let_93 (not _let_104)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_106)) :args ((or (not _let_30) _let_105 (not _let_106)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_31 0)) :args ((or _let_30 _let_54))) _let_77 :args (_let_30 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) _let_64 :args (_let_106 false _let_63)) :args (_let_105 false _let_30 false _let_106)) _let_91 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING _let_89)) :args _let_87)) _let_88 :args (_let_104 false _let_7)) :args (_let_101 false _let_105 false _let_85 false _let_104)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) _let_64 :args (_let_102 false _let_63)) :args (_let_9 false _let_101 false _let_102)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_81)) :args ((or _let_8 (not _let_80) (not _let_81)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_94)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_96 _let_98 _let_99) (SCOPE (TRANS _let_96 (CONG _let_100 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) :args _let_95) (SYMM _let_98) (CONG _let_97 (SYMM _let_96) :args _let_95)) :args (_let_86 _let_84 _let_85))) :args (_let_86 _let_85 _let_84))) :args (true _let_94)) :args ((or (not _let_86) _let_80 _let_93 (not _let_84)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_92)) :args ((or (not _let_29) _let_86 (not _let_92)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_31 1)) :args ((or _let_29 _let_54))) _let_77 :args (_let_29 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) _let_64 :args (_let_92 false _let_63)) :args (_let_86 false _let_29 false _let_92)) _let_91 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING _let_89)) :args _let_87)) _let_88 :args (_let_84 false _let_7)) :args (_let_80 false _let_86 false _let_85 false _let_84)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) _let_64 :args (_let_81 false _let_63)) :args (_let_8 false _let_80 false _let_81)) _let_79 :args (false false _let_9 false _let_8 true _let_10)) :args ((forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))) _let_7 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)) _let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)) (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))) (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)) _let_5 _let_4 _let_3 _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.62/0.81 )
% 0.62/0.81 % SZS output end Proof for KLE029+1
% 0.62/0.81 % cvc5---1.0.5 exiting
% 0.62/0.82 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------