TSTP Solution File: KRS084+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KRS084+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n025.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 05:41:22 EDT 2023
% Result : Unsatisfiable 0.21s 0.58s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KRS084+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 01:27:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.9yog9nCwW4/cvc5---1.0.5_13446.p...
% 0.21/0.52 ------- get file name : TPTP file name is KRS084+1
% 0.21/0.52 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_13446.smt2...
% 0.21/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.58 % SZS status Unsatisfiable for KRS084+1
% 0.21/0.58 % SZS output start Proof for KRS084+1
% 0.21/0.59 (
% 0.21/0.59 (let ((_let_1 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.rf X Y) (tptp.rr X Y))))) (let ((_let_2 (tptp.cUnsatisfiable tptp.i2003_11_14_17_19_35232))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.rinvR X Y) (tptp.rr Y X))))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.rinvF X Y) (tptp.rf Y X))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.rf X Y) (tptp.rf X Z)) (= Y Z))))) (let ((_let_6 (forall ((X $$unsorted)) (= (tptp.cd X) (and (exists ((Y $$unsorted)) (and (tptp.rf X Y) (not (tptp.cc Y)))) (tptp.cc X)))))) (let ((_let_7 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (exists ((Y $$unsorted)) (and (tptp.rinvF X Y) (tptp.cd Y))) (forall ((Y $$unsorted)) (=> (tptp.rinvR X Y) (exists ((Z $$unsorted)) (and (tptp.rinvF Y Z) (tptp.cd Z))))) (not (tptp.cc X))))))) (let ((_let_8 (tptp.cc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_9 (tptp.cc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_10 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_11 (forall ((Y $$unsorted)) (or (not (tptp.rf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y)) (tptp.cc Y))))) (let ((_let_12 (not _let_11))) (let ((_let_13 (and _let_12 _let_8))) (let ((_let_14 (tptp.cd SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_15 (= _let_14 _let_13))) (let ((_let_16 (forall ((X $$unsorted)) (= (tptp.cd X) (and (not (forall ((Y $$unsorted)) (or (not (tptp.rf X Y)) (tptp.cc Y)))) (tptp.cc X)))))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (_let_16))) (let ((_let_19 ((tptp.cd X)))) (let ((_let_20 (not _let_14))) (let ((_let_21 (tptp.rinvF tptp.i2003_11_14_17_19_35232 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_20))) (let ((_let_24 (forall ((Y $$unsorted)) (or (not (tptp.rinvF tptp.i2003_11_14_17_19_35232 Y)) (not (tptp.cd Y)))))) (let ((_let_25 (not _let_23))) (let ((_let_26 (not _let_24))) (let ((_let_27 (and _let_26 (forall ((Y $$unsorted)) (or (not (tptp.rinvR tptp.i2003_11_14_17_19_35232 Y)) (not (forall ((Z $$unsorted)) (or (not (tptp.rinvF Y Z)) (not (tptp.cd Z))))))) (not (tptp.cc tptp.i2003_11_14_17_19_35232))))) (let ((_let_28 (= _let_2 _let_27))) (let ((_let_29 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (not (forall ((Y $$unsorted)) (or (not (tptp.rinvF X Y)) (not (tptp.cd Y))))) (forall ((Y $$unsorted)) (or (not (tptp.rinvR X Y)) (not (forall ((Z $$unsorted)) (or (not (tptp.rinvF Y Z)) (not (tptp.cd Z))))))) (not (tptp.cc X))))))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (_let_29))) (let ((_let_32 (ASSUME :args (_let_2)))) (let ((_let_33 (not _let_2))) (let ((_let_34 (or))) (let ((_let_35 (_let_26))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_35)) :args _let_35)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_24))) (REFL :args (_let_25)) :args _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_27 0)) :args ((or _let_26 (not _let_27)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_28)) :args ((or _let_33 _let_27 (not _let_28)))) _let_32 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.i2003_11_14_17_19_35232 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cUnsatisfiable X)))) :args _let_31)) _let_30 :args (_let_28 false _let_29)) :args (_let_27 false _let_2 false _let_28)) :args (_let_26 false _let_27)) :args (_let_25 true _let_24)))) (let ((_let_37 (REFL :args (_let_23)))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_15)) :args ((or _let_20 _let_13 (not _let_15)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 1)) (CONG _let_37 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_14))) :args _let_34)) :args ((or _let_14 _let_23))) _let_36 :args (_let_14 true _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_19)) :args _let_18)) _let_17 :args (_let_15 false _let_16)) :args (_let_13 false _let_14 false _let_15)))) (let ((_let_39 (not _let_13))) (let ((_let_40 (tptp.rf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_9))) (let ((_let_43 (not _let_9))) (let ((_let_44 (forall ((Y $$unsorted)) (or (not (tptp.rf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 Y)) (tptp.cc Y))))) (let ((_let_45 (not _let_42))) (let ((_let_46 (not _let_44))) (let ((_let_47 (and _let_46 (tptp.cc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13)))) (let ((_let_48 (tptp.cd SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_49 (= _let_48 _let_47))) (let ((_let_50 (not _let_48))) (let ((_let_51 (tptp.rinvF SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_52 _let_50))) (let ((_let_54 (forall ((Y $$unsorted)) (or (not (tptp.rinvF SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y)) (not (tptp.cd Y)))))) (let ((_let_55 (not _let_53))) (let ((_let_56 (forall ((Z $$unsorted)) (or (not (tptp.rinvF SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Z)) (not (tptp.cd Z)))))) (let ((_let_57 (not _let_54))) (let ((_let_58 (not _let_56))) (let ((_let_59 (tptp.rinvR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_60 (not _let_59))) (let ((_let_61 (or _let_60 _let_58))) (let ((_let_62 (forall ((Y $$unsorted)) (or (not (tptp.rinvR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Y)) (not (forall ((Z $$unsorted)) (or (not (tptp.rinvF Y Z)) (not (tptp.cd Z))))))))) (let ((_let_63 (tptp.cc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_64 (and (not (forall ((Y $$unsorted)) (or (not (tptp.rinvF SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Y)) (not (tptp.cd Y))))) _let_62 (not _let_63)))) (let ((_let_65 (tptp.cUnsatisfiable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_66 (= _let_65 _let_64))) (let ((_let_67 (= tptp.i2003_11_14_17_19_35232 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_68 (tptp.rf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_69 (not _let_68))) (let ((_let_70 (tptp.rf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.i2003_11_14_17_19_35232))) (let ((_let_71 (not _let_70))) (let ((_let_72 (or _let_71 _let_69 _let_67))) (let ((_let_73 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.rf X Y)) (not (tptp.rf X Z)) (= Y Z))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (_let_73))) (let ((_let_76 ((not (= (tptp.rf X Y) false)) (not (= (tptp.rf X Z) false))))) (let ((_let_77 (or _let_69 _let_63))) (let ((_let_78 (not _let_77))) (let ((_let_79 (_let_12))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_77 0)) (CONG (REFL :args (_let_77)) (MACRO_SR_PRED_INTRO :args ((= (not _let_69) _let_68))) :args _let_34)) :args ((or _let_68 _let_77))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_79)) :args _let_79)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) (REFL :args (_let_78)) :args _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_13 0)) :args ((or _let_12 _let_39))) _let_38 :args (_let_12 false _let_13)) :args (_let_78 true _let_11)) :args (_let_68 true _let_77)))) (let ((_let_81 (= _let_21 _let_70))) (let ((_let_82 (_let_4))) (let ((_let_83 (ASSUME :args _let_82))) (let ((_let_84 ((tptp.rinvF X Y)))) (let ((_let_85 (and _let_2 _let_67))) (let ((_let_86 (_let_2 _let_67))) (let ((_let_87 (ASSUME :args (_let_67)))) (let ((_let_88 (_let_62))) (let ((_let_89 (tptp.rr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_90 (= _let_89 _let_59))) (let ((_let_91 (_let_3))) (let ((_let_92 (ASSUME :args _let_91))) (let ((_let_93 (or _let_69 _let_89))) (let ((_let_94 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.rf X Y)) (tptp.rr X Y))))) (let ((_let_95 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_96 (_let_57))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_96)) :args _let_96)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_54))) (REFL :args (_let_55)) :args _let_34)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_54 (= Y Z)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_60 _let_58 (not _let_61)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_90)) :args ((or (not _let_89) _let_59 (not _let_90)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_69 _let_89 (not _let_93)))) _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rf X Y) false))))) :args (_let_94))) _let_95 :args (_let_93 false _let_94)) :args (_let_89 false _let_68 false _let_93)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_92 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.rr Y X)))) :args _let_91))) _let_92 :args (_let_90 false _let_3)) :args (_let_59 false _let_89 false _let_90)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_88) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rinvR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Y) false))))) :args _let_88)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_64 1)) :args ((or _let_62 (not _let_64)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_66)) :args ((or _let_64 (not _let_65) (not _let_66)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_85)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_32 _let_87) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_87) :args (APPLY_UF tptp.cUnsatisfiable)) (TRUE_INTRO _let_32))) :args _let_86)) :args _let_86)) :args (true _let_85)) :args ((or _let_33 _let_65 (not _let_67)))) _let_32 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_71 _let_69 _let_67 (not _let_72)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_81)) :args ((or _let_22 _let_70 (not _let_81)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 0)) (CONG _let_37 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_34)) :args ((or _let_21 _let_23))) _let_36 :args (_let_21 true _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (tptp.i2003_11_14_17_19_35232 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_82)) _let_83 :args (_let_81 false _let_4)) :args (_let_70 false _let_21 false _let_81)) _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.i2003_11_14_17_19_35232 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_76)) :args _let_75)) _let_74 :args (_let_72 false _let_73)) :args (_let_67 false _let_70 false _let_68 false _let_72)) :args (_let_65 false _let_2 false _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cc X)))) :args _let_31)) _let_30 :args (_let_66 false _let_29)) :args (_let_64 false _let_65 false _let_66)) :args (_let_62 false _let_64)) :args (_let_61 false _let_62)) :args (_let_58 false _let_59 false _let_61)) :args (_let_57 true _let_56)) :args (_let_55 true _let_54)))) (let ((_let_98 (REFL :args (_let_53)))) (let ((_let_99 (_let_46))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_99)) :args _let_99)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_44))) (REFL :args (_let_45)) :args _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_47 0)) :args ((or _let_46 (not _let_47)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_49)) :args ((or _let_50 _let_47 (not _let_49)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 1)) (CONG _let_98 (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_48))) :args _let_34)) :args ((or _let_48 _let_53))) _let_97 :args (_let_48 true _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_19)) :args _let_18)) _let_17 :args (_let_49 false _let_16)) :args (_let_47 false _let_48 false _let_49)) :args (_let_46 false _let_47)) :args (_let_45 true _let_44)))) (let ((_let_101 (tptp.rf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_102 (not _let_101))) (let ((_let_103 (or _let_102 _let_41 _let_10))) (let ((_let_104 (= _let_51 _let_101))) (let ((_let_105 (ASSUME :args (_let_8)))) (let ((_let_106 (ASSUME :args (_let_10)))) (let ((_let_107 (ASSUME :args (_let_43)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_105 _let_106 _let_107) :args (_let_8 _let_43 _let_10)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_107)) (CONG (SYMM _let_106) :args (APPLY_UF tptp.cc)) (TRUE_INTRO _let_105))) :args (_let_8 _let_10 _let_43)) :args ((not (and _let_8 _let_43 _let_10)) SB_LITERAL))) (CONG (REFL :args ((not _let_8))) (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_9))) (REFL :args ((not _let_10))) :args _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_102 _let_41 _let_10 (not _let_103)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_104)) :args ((or _let_52 _let_101 (not _let_104)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 0)) (CONG _let_98 (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_51))) :args _let_34)) :args ((or _let_51 _let_53))) _let_97 :args (_let_51 true _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_82)) _let_83 :args (_let_104 false _let_4)) :args (_let_101 false _let_51 false _let_104)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 0)) (CONG (REFL :args (_let_42)) (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_34)) :args ((or _let_40 _let_42))) _let_100 :args (_let_40 true _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING _let_76)) :args _let_75)) _let_74 :args (_let_103 false _let_73)) :args (_let_10 false _let_101 false _let_40 false _let_103)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_42 1)) _let_100 :args (_let_43 true _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_13 1)) :args ((or _let_8 _let_39))) _let_38 :args (_let_8 false _let_13)) :args (false false _let_10 true _let_9 false _let_8)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cUnsatisfiable A)) (tptp.cUnsatisfiable B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cc A)) (tptp.cc B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cd A)) (tptp.cd B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cowlNothing A)) (tptp.cowlNothing B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cowlThing A)) (tptp.cowlThing B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rf A C)) (tptp.rf B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rf C A)) (tptp.rf C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rinvF A C)) (tptp.rinvF B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rinvF C A)) (tptp.rinvF C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rinvR A C)) (tptp.rinvR B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rinvR C A)) (tptp.rinvR C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rr A C)) (tptp.rr B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rr C A)) (tptp.rr C B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.xsd_integer A)) (tptp.xsd_integer B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.xsd_string A)) (tptp.xsd_string B))) (forall ((X $$unsorted)) (and (tptp.cowlThing X) (not (tptp.cowlNothing X)))) (forall ((X $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))) _let_7 _let_6 _let_5 _let_4 _let_3 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.rr X Y) (tptp.rr Y Z)) (tptp.rr X Z))) _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.59 )
% 0.21/0.59 % SZS output end Proof for KRS084+1
% 0.21/0.60 % cvc5---1.0.5 exiting
% 0.21/0.60 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------