%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KRS120+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n031.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 0.22s 0.54s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : KRS120+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n031.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 02:33:39 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.6zcQ783Hce/cvc5---1.0.5_5335.p...
% 0.22/0.51  ------- get file name : TPTP file name is KRS120+1
% 0.22/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_5335.smt2...
% 0.22/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.54  % SZS status Unsatisfiable for KRS120+1
% 0.22/0.54  % SZS output start Proof for KRS120+1
% 0.22/0.55  (
% 0.22/0.55  (let ((_let_1 (tptp.cUnsatisfiable tptp.i2003_11_14_17_21_48796))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.rinvF X Y) (tptp.rf Y X))))) (let ((_let_3 (forall ((X $$unsorted)) (=> (tptp.cowlThing X) (forall ((Y0 $$unsorted) (Y1 $$unsorted)) (=> (and (tptp.rf X Y0) (tptp.rf X Y1)) (= Y0 Y1))))))) (let ((_let_4 (forall ((X $$unsorted)) (= (tptp.ca_Vx3 X) (exists ((Y $$unsorted)) (and (tptp.rf X Y) (tptp.cp1xcomp Y))))))) (let ((_let_5 (forall ((X $$unsorted)) (= (tptp.ca_Ax2 X) (and (exists ((Y $$unsorted)) (and (tptp.rinvF X Y) (tptp.ca_Vx3 Y))) (tptp.cp1 X)))))) (let ((_let_6 (forall ((X $$unsorted)) (= (tptp.cp1xcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px1 X Y0)))))) (let ((_let_7 (forall ((X $$unsorted)) (= (tptp.cp1 X) (not (exists ((Y $$unsorted)) (tptp.ra_Px1 X Y))))))) (let ((_let_8 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (exists ((Y $$unsorted)) (and (tptp.rf X Y) (tptp.ca_Ax2 Y))))))) (let ((_let_9 (forall ((X $$unsorted)) (and (tptp.cowlThing X) (not (tptp.cowlNothing X)))))) (let ((_let_10 (forall ((Y $$unsorted)) (not (tptp.ra_Px1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y))))) (let ((_let_11 (tptp.ra_Px1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_12 (tptp.cp1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_13 (= _let_12 _let_10))) (let ((_let_14 (forall ((X $$unsorted)) (= (tptp.cp1 X) (forall ((Y $$unsorted)) (not (tptp.ra_Px1 X Y))))))) (let ((_let_15 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_16 (forall ((Y $$unsorted)) (or (not (tptp.rinvF SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y)) (not (tptp.ca_Vx3 Y)))))) (let ((_let_17 (not _let_16))) (let ((_let_18 (and _let_17 _let_12))) (let ((_let_19 (tptp.ca_Ax2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_20 (= _let_19 _let_18))) (let ((_let_21 (forall ((X $$unsorted)) (= (tptp.ca_Ax2 X) (and (not (forall ((Y $$unsorted)) (or (not (tptp.rinvF X Y)) (not (tptp.ca_Vx3 Y))))) (tptp.cp1 X)))))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (not _let_19))) (let ((_let_24 (or (not (tptp.rf tptp.i2003_11_14_17_21_48796 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) _let_23))) (let ((_let_25 (forall ((Y $$unsorted)) (or (not (tptp.rf tptp.i2003_11_14_17_21_48796 Y)) (not (tptp.ca_Ax2 Y)))))) (let ((_let_26 (not _let_24))) (let ((_let_27 (not _let_25))) (let ((_let_28 (= _let_1 _let_27))) (let ((_let_29 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (not (forall ((Y $$unsorted)) (or (not (tptp.rf X Y)) (not (tptp.ca_Ax2 Y))))))))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (or))) (let ((_let_32 (_let_27))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_20)) :args ((or _let_23 _let_18 (not _let_20)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 1)) (CONG (REFL :args (_let_24)) (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_19))) :args _let_31)) :args ((or _let_19 _let_24))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_32)) :args _let_32)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_25))) (REFL :args (_let_26)) :args _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_28)) :args ((or (not _let_1) _let_27 (not _let_28)))) (ASSUME :args (_let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.i2003_11_14_17_21_48796 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cUnsatisfiable X)))) :args (_let_29))) _let_30 :args (_let_28 false _let_29)) :args (_let_27 false _let_1 false _let_28)) :args (_let_26 true _let_25)) :args (_let_19 true _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ca_Ax2 X)))) :args (_let_21))) _let_22 :args (_let_20 false _let_21)) :args (_let_18 false _let_19 false _let_20)))) (let ((_let_34 (not _let_18))) (let ((_let_35 (tptp.ra_Px1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_36 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_37 (forall ((Y0 $$unsorted)) (not (tptp.ra_Px1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 Y0))))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.cp1xcomp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_40 (= _let_39 _let_38))) (let ((_let_41 (forall ((X $$unsorted)) (= (tptp.cp1xcomp X) (not (forall ((Y0 $$unsorted)) (not (tptp.ra_Px1 X Y0)))))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (not _let_39))) (let ((_let_44 (tptp.rf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_45 (not _let_44))) (let ((_let_46 (or _let_45 _let_43))) (let ((_let_47 (forall ((Y $$unsorted)) (or (not (tptp.rf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Y)) (not (tptp.cp1xcomp Y)))))) (let ((_let_48 (not _let_46))) (let ((_let_49 (not _let_47))) (let ((_let_50 (tptp.ca_Vx3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_51 (= _let_50 _let_49))) (let ((_let_52 (forall ((X $$unsorted)) (= (tptp.ca_Vx3 X) (not (forall ((Y $$unsorted)) (or (not (tptp.rf X Y)) (not (tptp.cp1xcomp Y))))))))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (not _let_50))) (let ((_let_55 (tptp.rinvF SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_56 (not _let_55))) (let ((_let_57 (or _let_56 _let_54))) (let ((_let_58 (not _let_57))) (let ((_let_59 (_let_17))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_59)) :args _let_59)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) (REFL :args (_let_58)) :args _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_18 0)) :args ((or _let_17 _let_34))) _let_33 :args (_let_17 false _let_18)) :args (_let_58 true _let_16)))) (let ((_let_61 (REFL :args (_let_57)))) (let ((_let_62 (_let_49))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_62)) :args _let_62)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_47))) (REFL :args (_let_48)) :args _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_51)) :args ((or _let_54 _let_49 (not _let_51)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_57 1)) (CONG _let_61 (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_50))) :args _let_31)) :args ((or _let_50 _let_57))) _let_60 :args (_let_50 true _let_57)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ca_Vx3 X)))) :args (_let_52))) _let_53 :args (_let_51 false _let_52)) :args (_let_49 false _let_50 false _let_51)) :args (_let_48 true _let_47)))) (let ((_let_64 (REFL :args (_let_46)))) (let ((_let_65 (_let_35))) (let ((_let_66 (_let_38))) (let ((_let_67 (tptp.rf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_68 (not _let_67))) (let ((_let_69 (tptp.cowlThing SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_70 (not _let_69))) (let ((_let_71 (or _let_70 _let_68 _let_45 _let_36))) (let ((_let_72 (forall ((X $$unsorted) (BOUND_VARIABLE_1274 $$unsorted) (BOUND_VARIABLE_1272 $$unsorted)) (or (not (tptp.cowlThing X)) (not (tptp.rf X BOUND_VARIABLE_1272)) (not (tptp.rf X BOUND_VARIABLE_1274)) (= BOUND_VARIABLE_1272 BOUND_VARIABLE_1274))))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (forall ((BOUND_VARIABLE_1201 $$unsorted)) (tptp.cowlThing BOUND_VARIABLE_1201)))) (let ((_let_75 (_let_74))) (let ((_let_76 (= _let_55 _let_67))) (let ((_let_77 (_let_2))) (let ((_let_78 (ASSUME :args _let_77))) (let ((_let_79 (and _let_36 _let_35))) (let ((_let_80 (ASSUME :args _let_65))) (let ((_let_81 (ASSUME :args (_let_36)))) (let ((_let_82 (_let_10))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_82) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ra_Px1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y) false))))) :args _let_82)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_79)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_80 _let_81) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM (SYMM _let_81)) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) :args (APPLY_UF tptp.ra_Px1)) (TRUE_INTRO _let_80))) :args (_let_35 _let_36))) :args (_let_36 _let_35))) :args (true _let_79)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_68 _let_45 _let_70 _let_36 (not _let_71)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_76)) :args ((or _let_56 _let_67 (not _let_76)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_57 0)) (CONG _let_61 (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_55))) :args _let_31)) :args ((or _let_55 _let_57))) _let_60 :args (_let_55 true _let_57)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.rinvF X Y)))) :args _let_77)) _let_78 :args (_let_76 false _let_2)) :args (_let_67 false _let_55 false _let_76)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 0)) (CONG _let_64 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_44))) :args _let_31)) :args ((or _let_44 _let_46))) _let_63 :args (_let_44 true _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_75) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.cowlThing BOUND_VARIABLE_1201) true))))) :args _let_75)) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))) :args (0)) :args (_let_69 false _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.rf X BOUND_VARIABLE_1272) false)) (not (= (tptp.rf X BOUND_VARIABLE_1274) false))))) :args (_let_72))) _let_73 :args (_let_71 false _let_72)) :args (_let_36 false _let_67 false _let_44 false _let_69 false _let_71)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_66)) :args _let_66) (REWRITE :args ((=> _let_38 (not (not _let_35))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) (REFL :args _let_65) :args _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_40)) :args ((or _let_43 _let_38 (not _let_40)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 1)) (CONG _let_64 (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_39))) :args _let_31)) :args ((or _let_39 _let_46))) _let_63 :args (_let_39 true _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cp1xcomp X)))) :args (_let_41))) _let_42 :args (_let_40 false _let_41)) :args (_let_38 false _let_39 false _let_40)) :args (_let_35 true _let_37)) :args (_let_11 false _let_36 false _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_13)) :args ((or (not _let_12) _let_10 (not _let_13)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_18 1)) :args ((or _let_12 _let_34))) _let_33 :args (_let_12 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cp1 X)))) :args (_let_14))) _let_15 :args (_let_13 false _let_14)) :args (_let_10 false _let_12 false _let_13)) :args (false false _let_11 false _let_10)) :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 $$unsorted)) (=> (and (= A B) (tptp.cp1 A)) (tptp.cp1 B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cp1xcomp A)) (tptp.cp1xcomp B))) (forall ((A $$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 $$unsorted)) (=> (and (= A B) (tptp.xsd_string A)) (tptp.xsd_string B))) _let_9 (forall ((X $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))) _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.rinvR X Y) (tptp.rr Y X))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.rr X Y) (tptp.rr Y Z)) (tptp.rr X Z))) _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.55  )
% 0.22/0.55  % SZS output end Proof for KRS120+1
% 0.22/0.55  % cvc5---1.0.5 exiting
% 0.22/0.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------