TSTP Solution File: KRS117+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KRS117+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.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 05:41:30 EDT 2023
% Result : Unsatisfiable 0.21s 0.62s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS117+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n014.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 01:03:16 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.48 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.3lMM0isXOM/cvc5---1.0.5_16455.p...
% 0.21/0.49 ------- get file name : TPTP file name is KRS117+1
% 0.21/0.49 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_16455.smt2...
% 0.21/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.62 % SZS status Unsatisfiable for KRS117+1
% 0.21/0.62 % SZS output start Proof for KRS117+1
% 0.21/0.62 (
% 0.21/0.62 (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_21_37349))) (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 $$unsorted)) (=> (tptp.cowlThing X) (forall ((Y0 $$unsorted) (Y1 $$unsorted)) (=> (and (tptp.rf X Y0) (tptp.rf X Y1)) (= Y0 Y1))))))) (let ((_let_6 (forall ((X $$unsorted)) (= (tptp.ca_Vx3 X) (exists ((Y $$unsorted)) (and (tptp.rinvF X Y) (tptp.cd Y))))))) (let ((_let_7 (forall ((X $$unsorted)) (= (tptp.cd X) (and (exists ((Y $$unsorted)) (and (tptp.rf X Y) (tptp.ccxcomp Y))) (tptp.cc X)))))) (let ((_let_8 (forall ((X $$unsorted)) (= (tptp.ccxcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px1 X Y0)))))) (let ((_let_9 (forall ((X $$unsorted)) (= (tptp.cc X) (not (exists ((Y $$unsorted)) (tptp.ra_Px1 X Y))))))) (let ((_let_10 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (tptp.ccxcomp X) (forall ((Y $$unsorted)) (=> (tptp.rinvR X Y) (tptp.ca_Vx3 Y))) (exists ((Y $$unsorted)) (and (tptp.rinvF X Y) (tptp.cd Y)))))))) (let ((_let_11 (forall ((X $$unsorted)) (and (tptp.cowlThing X) (not (tptp.cowlNothing X)))))) (let ((_let_12 (tptp.ra_Px1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_13 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_14 (tptp.ra_Px1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_15 (forall ((Y0 $$unsorted)) (not (tptp.ra_Px1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 Y0))))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.ccxcomp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_18 (= _let_17 _let_16))) (let ((_let_19 (forall ((X $$unsorted)) (= (tptp.ccxcomp X) (not (forall ((Y0 $$unsorted)) (not (tptp.ra_Px1 X Y0)))))))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (not _let_17))) (let ((_let_22 (tptp.rf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_23 (not _let_22))) (let ((_let_24 (or _let_23 _let_21))) (let ((_let_25 (forall ((Y $$unsorted)) (or (not (tptp.rf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 Y)) (not (tptp.ccxcomp Y)))))) (let ((_let_26 (not _let_24))) (let ((_let_27 (not _let_25))) (let ((_let_28 (and _let_27 (tptp.cc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16)))) (let ((_let_29 (tptp.cd SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_30 (= _let_29 _let_28))) (let ((_let_31 (forall ((X $$unsorted)) (= (tptp.cd X) (and (not (forall ((Y $$unsorted)) (or (not (tptp.rf X Y)) (not (tptp.ccxcomp Y))))) (tptp.cc X)))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (_let_31))) (let ((_let_34 ((tptp.cd X)))) (let ((_let_35 (not _let_29))) (let ((_let_36 (tptp.rinvF SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_37 _let_35))) (let ((_let_39 (forall ((Y $$unsorted)) (or (not (tptp.rinvF SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y)) (not (tptp.cd Y)))))) (let ((_let_40 (not _let_38))) (let ((_let_41 (not _let_39))) (let ((_let_42 (tptp.ca_Vx3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_43 (= _let_42 _let_41))) (let ((_let_44 (forall ((X $$unsorted)) (= (tptp.ca_Vx3 X) (not (forall ((Y $$unsorted)) (or (not (tptp.rinvF X Y)) (not (tptp.cd Y))))))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (tptp.rinvR tptp.i2003_11_14_17_21_37349 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_42))) (let ((_let_49 (forall ((Y $$unsorted)) (or (not (tptp.rinvR tptp.i2003_11_14_17_21_37349 Y)) (tptp.ca_Vx3 Y))))) (let ((_let_50 (forall ((Y $$unsorted)) (or (not (tptp.rinvF tptp.i2003_11_14_17_21_37349 Y)) (not (tptp.cd Y)))))) (let ((_let_51 (not _let_50))) (let ((_let_52 (and (tptp.ccxcomp tptp.i2003_11_14_17_21_37349) _let_49 _let_51))) (let ((_let_53 (= _let_2 _let_52))) (let ((_let_54 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (tptp.ccxcomp X) (forall ((Y $$unsorted)) (or (not (tptp.rinvR X Y)) (tptp.ca_Vx3 Y))) (not (forall ((Y $$unsorted)) (or (not (tptp.rinvF X Y)) (not (tptp.cd Y)))))))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_53)) :args ((or (not _let_2) _let_52 (not _let_53)))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.i2003_11_14_17_21_37349 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cUnsatisfiable X)))) :args (_let_54))) _let_55 :args (_let_53 false _let_54)) :args (_let_52 false _let_2 false _let_53)))) (let ((_let_57 (not _let_52))) (let ((_let_58 (_let_49))) (let ((_let_59 (tptp.rr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.i2003_11_14_17_21_37349))) (let ((_let_60 (= _let_59 _let_46))) (let ((_let_61 (_let_3))) (let ((_let_62 (ASSUME :args _let_61))) (let ((_let_63 (tptp.rf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.i2003_11_14_17_21_37349))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_64 _let_59))) (let ((_let_66 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.rf X Y)) (tptp.rr X Y))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (tptp.rinvF tptp.i2003_11_14_17_21_37349 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_69 (= _let_68 _let_63))) (let ((_let_70 (_let_4))) (let ((_let_71 (ASSUME :args _let_70))) (let ((_let_72 ((tptp.rinvF X Y)))) (let ((_let_73 (tptp.cd SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_74 (not _let_73))) (let ((_let_75 (not _let_68))) (let ((_let_76 (or _let_75 _let_74))) (let ((_let_77 (not _let_76))) (let ((_let_78 (or))) (let ((_let_79 (_let_51))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_79)) :args _let_79)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_50))) (REFL :args (_let_77)) :args _let_78)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_52 2)) :args ((or _let_51 _let_57))) _let_56 :args (_let_51 false _let_52)) :args (_let_77 true _let_50)))) (let ((_let_81 (REFL :args (_let_76)))) (let ((_let_82 (_let_41))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_82)) :args _let_82)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_39))) (REFL :args (_let_40)) :args _let_78)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_43)) :args ((or (not _let_42) _let_41 (not _let_43)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_47 _let_42 (not _let_48)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_60)) :args ((or (not _let_59) _let_46 (not _let_60)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_64 _let_59 (not _let_65)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_69)) :args ((or _let_75 _let_63 (not _let_69)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_76 0)) (CONG _let_81 (MACRO_SR_PRED_INTRO :args ((= (not _let_75) _let_68))) :args _let_78)) :args ((or _let_68 _let_76))) _let_80 :args (_let_68 true _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.i2003_11_14_17_21_37349 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_72)) :args _let_70)) _let_71 :args (_let_69 false _let_4)) :args (_let_63 false _let_68 false _let_69)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.i2003_11_14_17_21_37349 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rf X Y) false))))) :args (_let_66))) _let_67 :args (_let_65 false _let_66)) :args (_let_59 false _let_63 false _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.i2003_11_14_17_21_37349 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.rr Y X)))) :args _let_61))) _let_62 :args (_let_60 false _let_3)) :args (_let_46 false _let_59 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_58) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rinvR tptp.i2003_11_14_17_21_37349 Y) false))))) :args _let_58)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_52 1)) :args ((or _let_49 _let_57))) _let_56 :args (_let_49 false _let_52)) :args (_let_48 false _let_49)) :args (_let_42 false _let_46 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ca_Vx3 X)))) :args (_let_44))) _let_45 :args (_let_43 false _let_44)) :args (_let_41 false _let_42 false _let_43)) :args (_let_40 true _let_39)))) (let ((_let_84 (REFL :args (_let_38)))) (let ((_let_85 (_let_27))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_85)) :args _let_85)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_25))) (REFL :args (_let_26)) :args _let_78)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_28 0)) :args ((or _let_27 (not _let_28)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_30)) :args ((or _let_35 _let_28 (not _let_30)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 1)) (CONG _let_84 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_29))) :args _let_78)) :args ((or _let_29 _let_38))) _let_83 :args (_let_29 true _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_34)) :args _let_33)) _let_32 :args (_let_30 false _let_31)) :args (_let_28 false _let_29 false _let_30)) :args (_let_27 false _let_28)) :args (_let_26 true _let_25)))) (let ((_let_87 (REFL :args (_let_24)))) (let ((_let_88 (_let_12))) (let ((_let_89 (not _let_12))) (let ((_let_90 (_let_16))) (let ((_let_91 (tptp.rf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_92 (not _let_91))) (let ((_let_93 (tptp.cowlThing SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_94 (not _let_93))) (let ((_let_95 (or _let_94 _let_92 _let_23 _let_13))) (let ((_let_96 (forall ((X $$unsorted) (BOUND_VARIABLE_1293 $$unsorted) (BOUND_VARIABLE_1291 $$unsorted)) (or (not (tptp.cowlThing X)) (not (tptp.rf X BOUND_VARIABLE_1291)) (not (tptp.rf X BOUND_VARIABLE_1293)) (= BOUND_VARIABLE_1291 BOUND_VARIABLE_1293))))) (let ((_let_97 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_98 (forall ((BOUND_VARIABLE_1216 $$unsorted)) (tptp.cowlThing BOUND_VARIABLE_1216)))) (let ((_let_99 (_let_98))) (let ((_let_100 (= _let_36 _let_91))) (let ((_let_101 (forall ((Y $$unsorted)) (not (tptp.ra_Px1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y))))) (let ((_let_102 (not _let_14))) (let ((_let_103 (tptp.cc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_104 (= _let_103 _let_101))) (let ((_let_105 (forall ((X $$unsorted)) (= (tptp.cc X) (forall ((Y $$unsorted)) (not (tptp.ra_Px1 X Y))))))) (let ((_let_106 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_107 (and (not (forall ((Y $$unsorted)) (or (not (tptp.rf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y)) (not (tptp.ccxcomp Y))))) _let_103))) (let ((_let_108 (= _let_73 _let_107))) (let ((_let_109 (_let_101))) (let ((_let_110 (ASSUME :args (_let_102)))) (let ((_let_111 (ASSUME :args (_let_13)))) (let ((_let_112 (ASSUME :args _let_88))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_110 _let_111 _let_112) :args (_let_13 _let_12 _let_102)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_112)) (CONG (SYMM _let_111) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26)) :args (APPLY_UF tptp.ra_Px1)) (FALSE_INTRO _let_110))) :args (_let_102 _let_13 _let_12)) :args ((not (and _let_13 _let_12 _let_102)) SB_LITERAL))) (CONG (REFL :args ((not _let_13))) (REFL :args (_let_89)) (MACRO_SR_PRED_INTRO :args ((= (not _let_102) _let_14))) :args _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_109) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ra_Px1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y) false))))) :args _let_109)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_104)) :args ((or (not _let_103) _let_101 (not _let_104)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_107 1)) :args ((or _let_103 (not _let_107)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_108)) :args ((or _let_74 _let_107 (not _let_108)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_76 1)) (CONG _let_81 (MACRO_SR_PRED_INTRO :args ((= (not _let_74) _let_73))) :args _let_78)) :args ((or _let_73 _let_76))) _let_80 :args (_let_73 true _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_34)) :args _let_33)) _let_32 :args (_let_108 false _let_31)) :args (_let_107 false _let_73 false _let_108)) :args (_let_103 false _let_107)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cc X)))) :args (_let_105))) _let_106 :args (_let_104 false _let_105)) :args (_let_101 false _let_103 false _let_104)) :args (_let_102 false _let_101)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_92 _let_23 _let_94 _let_13 (not _let_95)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_100)) :args ((or _let_37 _let_91 (not _let_100)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 0)) (CONG _let_84 (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_36))) :args _let_78)) :args ((or _let_36 _let_38))) _let_83 :args (_let_36 true _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_72)) :args _let_70)) _let_71 :args (_let_100 false _let_4)) :args (_let_91 false _let_36 false _let_100)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 0)) (CONG _let_87 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_78)) :args ((or _let_22 _let_24))) _let_86 :args (_let_22 true _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_99) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.cowlThing BOUND_VARIABLE_1216) true))))) :args _let_99)) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))) :args (0)) :args (_let_93 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.rf X BOUND_VARIABLE_1291) false)) (not (= (tptp.rf X BOUND_VARIABLE_1293) false))))) :args (_let_96))) _let_97 :args (_let_95 false _let_96)) :args (_let_13 false _let_91 false _let_22 false _let_93 false _let_95)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_90)) :args _let_90) (REWRITE :args ((=> _let_16 (not _let_89)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) (REFL :args _let_88) :args _let_78)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_18)) :args ((or _let_21 _let_16 (not _let_18)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 1)) (CONG _let_87 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_17))) :args _let_78)) :args ((or _let_17 _let_24))) _let_86 :args (_let_17 true _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ccxcomp X)))) :args (_let_19))) _let_20 :args (_let_18 false _let_19)) :args (_let_16 false _let_17 false _let_18)) :args (_let_12 true _let_15)) :args (false true _let_14 false _let_13 false _let_12)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cUnsatisfiable A)) (tptp.cUnsatisfiable B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.ca_Vx3 A)) (tptp.ca_Vx3 B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cc A)) (tptp.cc B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.ccxcomp A)) (tptp.ccxcomp B))) (forall ((A $$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.ra_Px1 A C)) (tptp.ra_Px1 B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.ra_Px1 C A)) (tptp.ra_Px1 C B))) (forall ((A $$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 $$unsorted)) (=> (and (= A B) (tptp.xsd_string A)) (tptp.xsd_string B))) _let_11 (forall ((X $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))) _let_10 _let_9 _let_8 _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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.62 )
% 0.21/0.63 % SZS output end Proof for KRS117+1
% 0.21/0.63 % cvc5---1.0.5 exiting
% 0.21/0.63 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------