%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KRS114+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n017.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 05:41:29 EDT 2023

% Result   : Unsatisfiable 0.14s 0.50s
% Output   : Proof 0.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem    : KRS114+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.09  % Command    : do_cvc5 %s %d
% 0.08/0.30  % Computer : n017.cluster.edu
% 0.08/0.30  % Model    : x86_64 x86_64
% 0.08/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.30  % Memory   : 8042.1875MB
% 0.08/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.30  % CPULimit   : 300
% 0.08/0.30  % WCLimit    : 300
% 0.08/0.30  % DateTime   : Mon Aug 28 00:42:27 EDT 2023
% 0.08/0.30  % CPUTime    : 
% 0.14/0.45  %----Proving TF0_NAR, FOF, or CNF
% 0.14/0.45  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Rb66W62Msy/cvc5---1.0.5_1241.p...
% 0.14/0.46  ------- get file name : TPTP file name is KRS114+1
% 0.14/0.47  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_1241.smt2...
% 0.14/0.47  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.14/0.50  % SZS status Unsatisfiable for KRS114+1
% 0.14/0.50  % SZS output start Proof for KRS114+1
% 0.14/0.50  (
% 0.14/0.50  (let ((_let_1 (tptp.cUnsatisfiable tptp.i2003_11_14_17_21_262))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.rinvR X Y) (tptp.rr Y X))))) (let ((_let_3 (forall ((X $$unsorted)) (= (tptp.ca_Vx5 X) (forall ((Y $$unsorted)) (=> (tptp.rs X Y) (tptp.cp Y))))))) (let ((_let_4 (forall ((X $$unsorted)) (= (tptp.ca_Ax4 X) (and (forall ((Y0 $$unsorted) (Y1 $$unsorted)) (=> (and (tptp.rinvR X Y0) (tptp.rinvR X Y1)) (= Y0 Y1))) (exists ((Y $$unsorted)) (and (tptp.rinvR X Y) (tptp.ca_Vx5 Y)))))))) (let ((_let_5 (forall ((X $$unsorted)) (= (tptp.ca_Ax3 X) (and (tptp.cqxcomp X) (tptp.cpxcomp X)))))) (let ((_let_6 (forall ((X $$unsorted)) (= (tptp.cpxcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px1 X Y0)))))) (let ((_let_7 (forall ((X $$unsorted)) (= (tptp.cp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px1 X Y))))))) (let ((_let_8 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (exists ((Y $$unsorted)) (and (tptp.rr X Y) (tptp.ca_Ax4 Y))) (exists ((Y $$unsorted)) (and (tptp.rs X Y) (tptp.ca_Ax3 Y)))))))) (let ((_let_9 (tptp.cp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_10 (forall ((Y $$unsorted)) (not (tptp.ra_Px1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Y))))) (let ((_let_11 (= _let_9 _let_10))) (let ((_let_12 (tptp.rs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_9))) (let ((_let_15 (forall ((Y $$unsorted)) (or (not (tptp.rs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 Y)) (tptp.cp Y))))) (let ((_let_16 (tptp.ca_Vx5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_17 (= _let_16 _let_15))) (let ((_let_18 (forall ((X $$unsorted)) (= (tptp.ca_Vx5 X) (forall ((Y $$unsorted)) (or (not (tptp.rs X Y)) (tptp.cp Y))))))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (not _let_16))) (let ((_let_21 (tptp.rinvR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_20))) (let ((_let_24 (forall ((Y $$unsorted)) (or (not (tptp.rinvR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y)) (not (tptp.ca_Vx5 Y)))))) (let ((_let_25 (not _let_23))) (let ((_let_26 (not _let_24))) (let ((_let_27 (forall ((Y0 $$unsorted) (Y1 $$unsorted)) (or (not (tptp.rinvR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y0)) (not (tptp.rinvR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y1)) (= Y0 Y1))))) (let ((_let_28 (and _let_27 _let_26))) (let ((_let_29 (tptp.ca_Ax4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_30 (= _let_29 _let_28))) (let ((_let_31 (forall ((X $$unsorted)) (= (tptp.ca_Ax4 X) (and (forall ((Y0 $$unsorted) (Y1 $$unsorted)) (or (not (tptp.rinvR X Y0)) (not (tptp.rinvR X Y1)) (= Y0 Y1))) (not (forall ((Y $$unsorted)) (or (not (tptp.rinvR X Y)) (not (tptp.ca_Vx5 Y)))))))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (not _let_29))) (let ((_let_34 (tptp.rr tptp.i2003_11_14_17_21_262 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33))) (let ((_let_37 (forall ((Y $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_21_262 Y)) (not (tptp.ca_Ax4 Y)))))) (let ((_let_38 (not _let_36))) (let ((_let_39 (forall ((Y $$unsorted)) (or (not (tptp.rs tptp.i2003_11_14_17_21_262 Y)) (not (tptp.ca_Ax3 Y)))))) (let ((_let_40 (not _let_39))) (let ((_let_41 (not _let_37))) (let ((_let_42 (and _let_41 _let_40))) (let ((_let_43 (= _let_1 _let_42))) (let ((_let_44 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (not (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (not (tptp.ca_Ax4 Y))))) (not (forall ((Y $$unsorted)) (or (not (tptp.rs X Y)) (not (tptp.ca_Ax3 Y)))))))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_43)) :args ((or (not _let_1) _let_42 (not _let_43)))) (ASSUME :args (_let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.i2003_11_14_17_21_262 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cUnsatisfiable X)))) :args (_let_44))) _let_45 :args (_let_43 false _let_44)) :args (_let_42 false _let_1 false _let_43)))) (let ((_let_47 (not _let_42))) (let ((_let_48 (or))) (let ((_let_49 (_let_41))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_49)) :args _let_49)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_37))) (REFL :args (_let_38)) :args _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_42 0)) :args ((or _let_41 _let_47))) _let_46 :args (_let_41 false _let_42)) :args (_let_38 true _let_37)))) (let ((_let_51 (REFL :args (_let_36)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_30)) :args ((or _let_33 _let_28 (not _let_30)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 1)) (CONG _let_51 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_29))) :args _let_48)) :args ((or _let_29 _let_36))) _let_50 :args (_let_29 true _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ca_Ax4 X)))) :args (_let_31))) _let_32 :args (_let_30 false _let_31)) :args (_let_28 false _let_29 false _let_30)))) (let ((_let_53 (not _let_28))) (let ((_let_54 (_let_26))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_54)) :args _let_54)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_24))) (REFL :args (_let_25)) :args _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_28 1)) :args ((or _let_26 _let_53))) _let_52 :args (_let_26 false _let_28)) :args (_let_25 true _let_24)))) (let ((_let_56 (REFL :args (_let_23)))) (let ((_let_57 (_let_15))) (let ((_let_58 (= tptp.i2003_11_14_17_21_262 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_59 (tptp.rs tptp.i2003_11_14_17_21_262 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_60 (tptp.rinvR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.i2003_11_14_17_21_262))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_22 _let_58))) (let ((_let_63 (_let_27))) (let ((_let_64 (= _let_34 _let_60))) (let ((_let_65 (_let_2))) (let ((_let_66 (ASSUME :args _let_65))) (let ((_let_67 (tptp.ca_Ax3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_68 (not _let_67))) (let ((_let_69 (not _let_59))) (let ((_let_70 (or _let_69 _let_68))) (let ((_let_71 (not _let_70))) (let ((_let_72 (_let_40))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_72)) :args _let_72)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))) (REFL :args (_let_71)) :args _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_42 1)) :args ((or _let_40 _let_47))) _let_46 :args (_let_40 false _let_42)) :args (_let_71 true _let_39)))) (let ((_let_74 (REFL :args (_let_70)))) (let ((_let_75 (and _let_59 _let_58))) (let ((_let_76 (_let_59 _let_58))) (let ((_let_77 (ASSUME :args (_let_59)))) (let ((_let_78 (ASSUME :args (_let_58)))) (let ((_let_79 (forall ((Y0 $$unsorted)) (not (tptp.ra_Px1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Y0))))) (let ((_let_80 (not _let_79))) (let ((_let_81 (tptp.cpxcomp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_82 (= _let_81 _let_80))) (let ((_let_83 (forall ((X $$unsorted)) (= (tptp.cpxcomp X) (not (forall ((Y0 $$unsorted)) (not (tptp.ra_Px1 X Y0)))))))) (let ((_let_84 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_85 (and (tptp.cqxcomp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) _let_81))) (let ((_let_86 (= _let_67 _let_85))) (let ((_let_87 (_let_5))) (let ((_let_88 (ASSUME :args _let_87))) (let ((_let_89 (forall ((X $$unsorted)) (= (tptp.cp X) (forall ((Y $$unsorted)) (not (tptp.ra_Px1 X Y))))))) (let ((_let_90 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_11)) :args ((or (not _let_9) _let_10 (not _let_11)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cp X)))) :args (_let_89))) _let_90 :args (_let_11 false _let_89)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_79 (= Y0 Y)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_82)) :args ((or (not _let_81) _let_80 (not _let_82)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_85 1)) :args ((or _let_81 (not _let_85)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_86)) :args ((or _let_68 _let_85 (not _let_86)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_70 1)) (CONG _let_74 (MACRO_SR_PRED_INTRO :args ((= (not _let_68) _let_67))) :args _let_48)) :args ((or _let_67 _let_70))) _let_73 :args (_let_67 true _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ca_Ax3 X)))) :args _let_87)) _let_88 :args (_let_86 false _let_5)) :args (_let_85 false _let_67 false _let_86)) :args (_let_81 false _let_85)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cpxcomp X)))) :args (_let_83))) _let_84 :args (_let_82 false _let_83)) :args (_let_80 false _let_81 false _let_82)) :args ((not _let_10) true _let_79)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_13 _let_9 (not _let_14)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_75)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_77 _let_78) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_78) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) :args (APPLY_UF tptp.rs)) (TRUE_INTRO _let_77))) :args _let_76)) :args _let_76)) :args (true _let_75)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_70 0)) (CONG _let_74 (MACRO_SR_PRED_INTRO :args ((= (not _let_69) _let_59))) :args _let_48)) :args ((or _let_59 _let_70))) _let_73 :args (_let_59 true _let_70)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_61 _let_22 _let_58 (not _let_62)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_64)) :args ((or _let_35 _let_60 (not _let_64)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 0)) (CONG _let_51 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_48)) :args ((or _let_34 _let_36))) _let_50 :args (_let_34 true _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_66 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.i2003_11_14_17_21_262 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.rr Y X)))) :args _let_65))) _let_66 :args (_let_64 false _let_2)) :args (_let_60 false _let_34 false _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 0)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_48)) :args ((or _let_21 _let_23))) _let_55 :args (_let_21 true _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_63) :args (tptp.i2003_11_14_17_21_262 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.rinvR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y0) false)) (not (= (tptp.rinvR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y1) false))))) :args _let_63)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_28 0)) :args ((or _let_27 _let_53))) _let_52 :args (_let_27 false _let_28)) :args (_let_62 false _let_27)) :args (_let_58 false _let_60 false _let_21 false _let_62)) :args (_let_12 false _let_59 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_57) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 Y) false))))) :args _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_17)) :args ((or _let_20 _let_15 (not _let_17)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 1)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_16))) :args _let_48)) :args ((or _let_16 _let_23))) _let_55 :args (_let_16 true _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ca_Vx5 X)))) :args (_let_18))) _let_19 :args (_let_17 false _let_18)) :args (_let_15 false _let_16 false _let_17)) :args (_let_14 false _let_15)) :args (_let_9 false _let_12 false _let_14)) :args (false false _let_11 true _let_10 false _let_9)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cUnsatisfiable A)) (tptp.cUnsatisfiable B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.ca_Ax3 A)) (tptp.ca_Ax3 B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.ca_Ax4 A)) (tptp.ca_Ax4 B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.ca_Vx5 A)) (tptp.ca_Vx5 B))) (forall ((A $$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 $$unsorted)) (=> (and (= A B) (tptp.cq A)) (tptp.cq B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cqxcomp A)) (tptp.cqxcomp B))) (forall ((A $$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.ra_Px2 A C)) (tptp.ra_Px2 B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.ra_Px2 C A)) (tptp.ra_Px2 C B))) (forall ((A $$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 $$unsorted) (C $$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 $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))) _let_8 _let_7 _let_6 (forall ((X $$unsorted)) (= (tptp.cq X) (exists ((Y0 $$unsorted)) (tptp.ra_Px2 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cqxcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px2 X Y))))) _let_5 _let_4 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.14/0.50  )
% 0.14/0.51  % SZS output end Proof for KRS114+1
% 0.14/0.51  % cvc5---1.0.5 exiting
% 0.14/0.51  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------