%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KRS109+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n001.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 05:41:28 EDT 2023

% Result   : Unsatisfiable 0.22s 0.55s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : KRS109+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n001.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon Aug 28 02:24:19 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.IEI5xjCZwx/cvc5---1.0.5_9201.p...
% 0.22/0.51  ------- get file name : TPTP file name is KRS109+1
% 0.22/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_9201.smt2...
% 0.22/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.55  % SZS status Unsatisfiable for KRS109+1
% 0.22/0.55  % SZS output start Proof for KRS109+1
% 0.22/0.55  (
% 0.22/0.55  (let ((_let_1 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.rs X Y) (tptp.rf X Y))))) (let ((_let_2 (tptp.cUnsatisfiable tptp.i2003_11_14_17_21_08508))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.rinvS X Y) (tptp.rs 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.ca_Vx3 X) (exists ((Y $$unsorted)) (and (tptp.rs X Y) (tptp.cp Y))))))) (let ((_let_7 (forall ((X $$unsorted)) (= (tptp.ca_Ax2 X) (and (forall ((Y $$unsorted)) (=> (tptp.rinvS X Y) (tptp.cp Y))) (forall ((Y $$unsorted)) (=> (tptp.rinvF X Y) (tptp.ca_Vx3 Y)))))))) (let ((_let_8 (forall ((X $$unsorted)) (= (tptp.cpxcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px1 X Y0)))))) (let ((_let_9 (forall ((X $$unsorted)) (= (tptp.cp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px1 X Y))))))) (let ((_let_10 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (tptp.cpxcomp X) (exists ((Y $$unsorted)) (and (tptp.rf X Y) (tptp.ca_Ax2 Y)))))))) (let ((_let_11 (tptp.cp tptp.i2003_11_14_17_21_08508))) (let ((_let_12 (forall ((Y $$unsorted)) (not (tptp.ra_Px1 tptp.i2003_11_14_17_21_08508 Y))))) (let ((_let_13 (= _let_11 _let_12))) (let ((_let_14 (tptp.rinvS SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.i2003_11_14_17_21_08508))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_15 _let_11))) (let ((_let_17 (forall ((Y $$unsorted)) (or (not (tptp.rinvS SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y)) (tptp.cp Y))))) (let ((_let_18 (forall ((Y $$unsorted)) (or (not (tptp.rinvF SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y)) (tptp.ca_Vx3 Y))))) (let ((_let_19 (and _let_17 _let_18))) (let ((_let_20 (tptp.ca_Ax2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_21 (= _let_20 _let_19))) (let ((_let_22 (forall ((X $$unsorted)) (= (tptp.ca_Ax2 X) (and (forall ((Y $$unsorted)) (or (not (tptp.rinvS X Y)) (tptp.cp Y))) (forall ((Y $$unsorted)) (or (not (tptp.rinvF X Y)) (tptp.ca_Vx3 Y)))))))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (not _let_20))) (let ((_let_25 (tptp.rf tptp.i2003_11_14_17_21_08508 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_24))) (let ((_let_28 (forall ((Y $$unsorted)) (or (not (tptp.rf tptp.i2003_11_14_17_21_08508 Y)) (not (tptp.ca_Ax2 Y)))))) (let ((_let_29 (not _let_27))) (let ((_let_30 (not _let_28))) (let ((_let_31 (tptp.cpxcomp tptp.i2003_11_14_17_21_08508))) (let ((_let_32 (and _let_31 _let_30))) (let ((_let_33 (= _let_2 _let_32))) (let ((_let_34 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (tptp.cpxcomp X) (not (forall ((Y $$unsorted)) (or (not (tptp.rf X Y)) (not (tptp.ca_Ax2 Y)))))))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_33)) :args ((or (not _let_2) _let_32 (not _let_33)))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.i2003_11_14_17_21_08508 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cUnsatisfiable X)))) :args (_let_34))) _let_35 :args (_let_33 false _let_34)) :args (_let_32 false _let_2 false _let_33)))) (let ((_let_37 (not _let_32))) (let ((_let_38 (or))) (let ((_let_39 (_let_30))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_39)) :args _let_39)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_28))) (REFL :args (_let_29)) :args _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_32 1)) :args ((or _let_30 _let_37))) _let_36 :args (_let_30 false _let_32)) :args (_let_29 true _let_28)))) (let ((_let_41 (REFL :args (_let_27)))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_21)) :args ((or _let_24 _let_19 (not _let_21)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 1)) (CONG _let_41 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_20))) :args _let_38)) :args ((or _let_20 _let_27))) _let_40 :args (_let_20 true _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ca_Ax2 X)))) :args (_let_22))) _let_23 :args (_let_21 false _let_22)) :args (_let_19 false _let_20 false _let_21)))) (let ((_let_43 (not _let_19))) (let ((_let_44 (_let_17))) (let ((_let_45 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_46 (tptp.rinvS SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.i2003_11_14_17_21_08508))) (let ((_let_47 (tptp.rf tptp.i2003_11_14_17_21_08508 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_26 _let_48 _let_45))) (let ((_let_50 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.rf X Y)) (not (tptp.rf X Z)) (= Y Z))))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (tptp.rs tptp.i2003_11_14_17_21_08508 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_47))) (let ((_let_55 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.rs X Y)) (tptp.rf X Y))))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (or _let_53 (not (tptp.cp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))) (let ((_let_58 (forall ((Y $$unsorted)) (or (not (tptp.rs tptp.i2003_11_14_17_21_08508 Y)) (not (tptp.cp Y)))))) (let ((_let_59 (not _let_57))) (let ((_let_60 (not _let_58))) (let ((_let_61 (tptp.ca_Vx3 tptp.i2003_11_14_17_21_08508))) (let ((_let_62 (= _let_61 _let_60))) (let ((_let_63 (forall ((X $$unsorted)) (= (tptp.ca_Vx3 X) (not (forall ((Y $$unsorted)) (or (not (tptp.rs X Y)) (not (tptp.cp Y))))))))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_65 (tptp.rinvF SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.i2003_11_14_17_21_08508))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_66 _let_61))) (let ((_let_68 (_let_18))) (let ((_let_69 (= _let_25 _let_65))) (let ((_let_70 (_let_4))) (let ((_let_71 (ASSUME :args _let_70))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 0)) (CONG _let_41 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_38)) :args ((or _let_25 _let_27))) _let_40 :args (_let_25 true _let_27)))) (let ((_let_73 (_let_60))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_57 0)) (CONG (REFL :args (_let_57)) (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_52))) :args _let_38)) :args ((or _let_52 _let_57))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_73)) :args _let_73)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_58))) (REFL :args (_let_59)) :args _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_62)) :args ((or (not _let_61) _let_60 (not _let_62)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_66 _let_61 (not _let_67)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_69)) :args ((or _let_26 _let_65 (not _let_69)))) _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_71 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.i2003_11_14_17_21_08508 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.rf Y X)))) :args _let_70))) _let_71 :args (_let_69 false _let_4)) :args (_let_65 false _let_25 false _let_69)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_68) :args (tptp.i2003_11_14_17_21_08508 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rinvF SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y) false))))) :args _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_19 1)) :args ((or _let_18 _let_43))) _let_42 :args (_let_18 false _let_19)) :args (_let_67 false _let_18)) :args (_let_61 false _let_65 false _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.i2003_11_14_17_21_08508 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ca_Vx3 X)))) :args (_let_63))) _let_64 :args (_let_62 false _let_63)) :args (_let_60 false _let_61 false _let_62)) :args (_let_59 true _let_58)) :args (_let_52 true _let_57)))) (let ((_let_75 (= _let_52 _let_46))) (let ((_let_76 (_let_3))) (let ((_let_77 (ASSUME :args _let_76))) (let ((_let_78 (and _let_46 _let_45))) (let ((_let_79 (_let_46 _let_45))) (let ((_let_80 (ASSUME :args (_let_46)))) (let ((_let_81 (ASSUME :args (_let_45)))) (let ((_let_82 (forall ((Y0 $$unsorted)) (not (tptp.ra_Px1 tptp.i2003_11_14_17_21_08508 Y0))))) (let ((_let_83 (not _let_82))) (let ((_let_84 (= _let_31 _let_83))) (let ((_let_85 (forall ((X $$unsorted)) (= (tptp.cpxcomp X) (not (forall ((Y0 $$unsorted)) (not (tptp.ra_Px1 X Y0)))))))) (let ((_let_86 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_87 (forall ((X $$unsorted)) (= (tptp.cp X) (forall ((Y $$unsorted)) (not (tptp.ra_Px1 X Y))))))) (let ((_let_88 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_13)) :args ((or (not _let_11) _let_12 (not _let_13)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (tptp.i2003_11_14_17_21_08508 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cp X)))) :args (_let_87))) _let_88 :args (_let_13 false _let_87)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_82 (= Y0 Y)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_84)) :args ((or (not _let_31) _let_83 (not _let_84)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_32 0)) :args ((or _let_31 _let_37))) _let_36 :args (_let_31 false _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.i2003_11_14_17_21_08508 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cpxcomp X)))) :args (_let_85))) _let_86 :args (_let_84 false _let_85)) :args (_let_83 false _let_31 false _let_84)) :args ((not _let_12) true _let_82)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_15 _let_11 (not _let_16)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_78)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_80 _let_81) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM (SYMM _let_81)) (REFL :args (tptp.i2003_11_14_17_21_08508)) :args (APPLY_UF tptp.rinvS)) (TRUE_INTRO _let_80))) :args _let_79)) :args _let_79)) :args (true _let_78)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_75)) :args ((or _let_53 _let_46 (not _let_75)))) _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_77 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.i2003_11_14_17_21_08508 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.rs Y X)))) :args _let_76))) _let_77 :args (_let_75 false _let_3)) :args (_let_46 false _let_52 false _let_75)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_26 _let_48 _let_45 (not _let_49)))) _let_72 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_53 _let_47 (not _let_54)))) _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.i2003_11_14_17_21_08508 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rs X Y) false))))) :args (_let_55))) _let_56 :args (_let_54 false _let_55)) :args (_let_47 false _let_52 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.i2003_11_14_17_21_08508 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.rf X Y) false)) (not (= (tptp.rf X Z) false))))) :args (_let_50))) _let_51 :args (_let_49 false _let_50)) :args (_let_45 false _let_25 false _let_47 false _let_49)) :args (_let_14 false _let_46 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_44) :args (tptp.i2003_11_14_17_21_08508 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rinvS SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y) false))))) :args _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_19 0)) :args ((or _let_17 _let_43))) _let_42 :args (_let_17 false _let_19)) :args (_let_16 false _let_17)) :args (_let_11 false _let_14 false _let_16)) :args (false false _let_13 true _let_12 false _let_11)) :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_Ax2 A)) (tptp.ca_Ax2 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.cowlNothing A)) (tptp.cowlNothing B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cowlThing A)) (tptp.cowlThing B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cp A)) (tptp.cp B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cpxcomp A)) (tptp.cpxcomp 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 $$unsorted)) (=> (and (= A B) (tptp.rf1 A C)) (tptp.rf1 B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rf1 C A)) (tptp.rf1 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 $$unsorted)) (=> (and (= A B) (tptp.rinvF1 A C)) (tptp.rinvF1 B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rinvF1 C A)) (tptp.rinvF1 C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rinvS A C)) (tptp.rinvS B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rinvS C A)) (tptp.rinvS C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rs A C)) (tptp.rs B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rs C A)) (tptp.rs 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_10 _let_9 _let_8 _let_7 _let_6 _let_5 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.rf1 X Y) (tptp.rf1 X Z)) (= Y Z))) _let_4 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.rinvF1 X Y) (tptp.rf1 Y X))) _let_3 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.rs X Y) (tptp.rs X Z)) (= Y Z))) _let_2 _let_1 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.rs X Y) (tptp.rf1 X Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.55  )
% 0.22/0.55  % SZS output end Proof for KRS109+1
% 0.22/0.56  % cvc5---1.0.5 exiting
% 0.22/0.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------