TSTP Solution File: KRS107+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KRS107+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n004.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 05:41:27 EDT 2023
% Result : Unsatisfiable 0.20s 0.54s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS107+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 01:24:07 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.MNW3VKnK1s/cvc5---1.0.5_13365.p...
% 0.20/0.49 ------- get file name : TPTP file name is KRS107+1
% 0.20/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_13365.smt2...
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.54 % SZS status Unsatisfiable for KRS107+1
% 0.20/0.54 % SZS output start Proof for KRS107+1
% 0.20/0.55 (
% 0.20/0.55 (let ((_let_1 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.rrx3 X Y) (tptp.rrx X Y))))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.rrx4 X Y) (tptp.rrx X Y))))) (let ((_let_3 (tptp.cUnsatisfiable tptp.i2003_11_14_17_21_01226))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.rrx X Y) (tptp.rrx X Z)) (= Y Z))))) (let ((_let_5 (forall ((X $$unsorted)) (= (tptp.ca_Cx1xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px1 X Y))))))) (let ((_let_6 (forall ((X $$unsorted)) (= (tptp.ca_Cx1xcomp X) (exists ((Y $$unsorted)) (and (tptp.rrx3 X Y) (tptp.ca_Ax2 Y))))))) (let ((_let_7 (forall ((X $$unsorted)) (= (tptp.ca_Cx1 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px1 X Y0)))))) (let ((_let_8 (forall ((X $$unsorted)) (= (tptp.ca_Ax2 X) (and (tptp.cc2 X) (tptp.cc1 X)))))) (let ((_let_9 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (exists ((Y $$unsorted)) (and (tptp.rrx3 X Y) (tptp.cc1 Y))) (exists ((Y $$unsorted)) (and (tptp.rrx4 X Y) (tptp.cc2 Y))) (tptp.ca_Cx1 X)))))) (let ((_let_10 (forall ((Y $$unsorted)) (or (not (tptp.rrx3 tptp.i2003_11_14_17_21_01226 Y)) (not (tptp.ca_Ax2 Y)))))) (let ((_let_11 (tptp.ca_Ax2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.rrx3 tptp.i2003_11_14_17_21_01226 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_12))) (let ((_let_16 (not _let_10))) (let ((_let_17 (tptp.ca_Cx1xcomp tptp.i2003_11_14_17_21_01226))) (let ((_let_18 (= _let_17 _let_16))) (let ((_let_19 (forall ((X $$unsorted)) (= (tptp.ca_Cx1xcomp X) (not (forall ((Y $$unsorted)) (or (not (tptp.rrx3 X Y)) (not (tptp.ca_Ax2 Y))))))))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (tptp.i2003_11_14_17_21_01226 QUANTIFIERS_INST_ENUM))) (let ((_let_22 (forall ((Y $$unsorted)) (not (tptp.ra_Px1 tptp.i2003_11_14_17_21_01226 Y))))) (let ((_let_23 (= _let_17 _let_22))) (let ((_let_24 (not _let_17))) (let ((_let_25 (forall ((X $$unsorted)) (= (tptp.ca_Cx1xcomp X) (forall ((Y $$unsorted)) (not (tptp.ra_Px1 X Y))))))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (forall ((Y0 $$unsorted)) (not (tptp.ra_Px1 tptp.i2003_11_14_17_21_01226 Y0))))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.ca_Cx1 tptp.i2003_11_14_17_21_01226))) (let ((_let_30 (= _let_29 _let_28))) (let ((_let_31 (forall ((X $$unsorted)) (= (tptp.ca_Cx1 X) (not (forall ((Y0 $$unsorted)) (not (tptp.ra_Px1 X Y0)))))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (forall ((Y $$unsorted)) (or (not (tptp.rrx4 tptp.i2003_11_14_17_21_01226 Y)) (not (tptp.cc2 Y)))))) (let ((_let_34 (not _let_33))) (let ((_let_35 (forall ((Y $$unsorted)) (or (not (tptp.rrx3 tptp.i2003_11_14_17_21_01226 Y)) (not (tptp.cc1 Y)))))) (let ((_let_36 (not _let_35))) (let ((_let_37 (and _let_36 _let_34 _let_29))) (let ((_let_38 (= _let_3 _let_37))) (let ((_let_39 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (not (forall ((Y $$unsorted)) (or (not (tptp.rrx3 X Y)) (not (tptp.cc1 Y))))) (not (forall ((Y $$unsorted)) (or (not (tptp.rrx4 X Y)) (not (tptp.cc2 Y))))) (tptp.ca_Cx1 X)))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_38)) :args ((or (not _let_3) _let_37 (not _let_38)))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.i2003_11_14_17_21_01226 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cUnsatisfiable X)))) :args (_let_39))) _let_40 :args (_let_38 false _let_39)) :args (_let_37 false _let_3 false _let_38)))) (let ((_let_42 (not _let_37))) (let ((_let_43 (not _let_18))) (let ((_let_44 (or))) (let ((_let_45 (not _let_15))) (let ((_let_46 (tptp.cc1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_47 (tptp.cc2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_48 (and _let_47 _let_46))) (let ((_let_49 (= _let_11 _let_48))) (let ((_let_50 (_let_8))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_53 (tptp.cc2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_54 (tptp.rrx tptp.i2003_11_14_17_21_01226 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_55 (not _let_54))) (let ((_let_56 (tptp.rrx tptp.i2003_11_14_17_21_01226 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_57 _let_55 _let_52))) (let ((_let_59 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.rrx X Y)) (not (tptp.rrx X Z)) (= Y Z))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (or _let_14 _let_54))) (let ((_let_62 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.rrx3 X Y)) (tptp.rrx X Y))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (not _let_46))) (let ((_let_65 (or _let_14 _let_64))) (let ((_let_66 (not _let_65))) (let ((_let_67 (_let_36))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_67)) :args _let_67)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) (REFL :args (_let_66)) :args _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_37 0)) :args ((or _let_36 _let_42))) _let_41 :args (_let_36 false _let_37)) :args (_let_66 true _let_35)))) (let ((_let_69 (REFL :args (_let_65)))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_65 0)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_44)) :args ((or _let_13 _let_65))) _let_68 :args (_let_13 true _let_65)))) (let ((_let_71 (tptp.rrx4 tptp.i2003_11_14_17_21_01226 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_72 _let_56))) (let ((_let_74 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.rrx4 X Y)) (tptp.rrx X Y))))) (let ((_let_75 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_76 (not _let_53))) (let ((_let_77 (or _let_72 _let_76))) (let ((_let_78 (not _let_77))) (let ((_let_79 (_let_34))) (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_34) _let_33))) (REFL :args (_let_78)) :args _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_37 1)) :args ((or _let_34 _let_42))) _let_41 :args (_let_34 false _let_37)) :args (_let_78 true _let_33)))) (let ((_let_81 (REFL :args (_let_77)))) (let ((_let_82 (and _let_53 _let_52))) (let ((_let_83 (_let_53 _let_52))) (let ((_let_84 (ASSUME :args (_let_53)))) (let ((_let_85 (ASSUME :args (_let_52)))) (let ((_let_86 (_let_10))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_86) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rrx3 tptp.i2003_11_14_17_21_01226 Y) false))))) :args _let_86)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_14 _let_12 _let_45))) _let_70 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_49)) :args ((or _let_11 (not _let_48) (not _let_49)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_48)) :args ((or _let_64 _let_48 (not _let_47)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_65 1)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_46))) :args _let_44)) :args ((or _let_46 _let_65))) _let_68 :args (_let_46 true _let_65)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_82)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_84 _let_85) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM (SYMM _let_85)) :args (APPLY_UF tptp.cc2)) (TRUE_INTRO _let_84))) :args _let_83)) :args _let_83)) :args (true _let_82)) :args ((or _let_76 _let_47 (not _let_52)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_77 1)) (CONG _let_81 (MACRO_SR_PRED_INTRO :args ((= (not _let_76) _let_53))) :args _let_44)) :args ((or _let_53 _let_77))) _let_80 :args (_let_53 true _let_77)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_57 _let_55 _let_52 (not _let_58)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_72 _let_56 (not _let_73)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_77 0)) (CONG _let_81 (MACRO_SR_PRED_INTRO :args ((= (not _let_72) _let_71))) :args _let_44)) :args ((or _let_71 _let_77))) _let_80 :args (_let_71 true _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.i2003_11_14_17_21_01226 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rrx4 X Y) false))))) :args (_let_74))) _let_75 :args (_let_73 false _let_74)) :args (_let_56 false _let_71 false _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_14 _let_54 (not _let_61)))) _let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.i2003_11_14_17_21_01226 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rrx3 X Y) false))))) :args (_let_62))) _let_63 :args (_let_61 false _let_62)) :args (_let_54 false _let_13 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.i2003_11_14_17_21_01226 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.rrx X Y) false)) (not (= (tptp.rrx X Z) false))))) :args (_let_59)))) _let_60 :args (_let_58 false _let_59)) :args (_let_52 false _let_56 false _let_54 false _let_58)) :args (_let_47 false _let_53 false _let_52)) :args (_let_48 false _let_46 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cc1 X)))) :args _let_50)) _let_51 :args (_let_49 false _let_8)) :args (_let_11 false _let_48 false _let_49)) :args (_let_45 false _let_13 false _let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_18)) (CONG (REFL :args (_let_43)) (REFL :args (_let_17)) (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_10))) :args _let_44)) :args ((or _let_17 _let_10 _let_43))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_23)) :args ((or _let_22 _let_24 (not _let_23)))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_27 (= Y0 Y)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_30)) :args ((or (not _let_29) _let_28 (not _let_30)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_37 2)) :args ((or _let_29 _let_42))) _let_41 :args (_let_29 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.i2003_11_14_17_21_01226 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ca_Cx1 X)))) :args (_let_31))) _let_32 :args (_let_30 false _let_31)) :args (_let_28 false _let_29 false _let_30)) :args ((not _let_22) true _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args _let_21) :args (_let_25))) _let_26 :args (_let_23 false _let_25)) :args (_let_24 true _let_22 false _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args _let_21) :args (_let_19))) _let_20 :args (_let_18 false _let_19)) :args (_let_10 true _let_17 false _let_18)) :args (false true _let_15 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_Cx1 A)) (tptp.ca_Cx1 B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.ca_Cx1xcomp A)) (tptp.ca_Cx1xcomp B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cc1 A)) (tptp.cc1 B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cc2 A)) (tptp.cc2 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 $$unsorted)) (=> (and (= A B) (tptp.rrx A C)) (tptp.rrx B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rrx C A)) (tptp.rrx C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rrx1 A C)) (tptp.rrx1 B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rrx1 C A)) (tptp.rrx1 C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rrx1a A C)) (tptp.rrx1a B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rrx1a C A)) (tptp.rrx1a C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rrx2 A C)) (tptp.rrx2 B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rrx2 C A)) (tptp.rrx2 C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rrx2a A C)) (tptp.rrx2a B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rrx2a C A)) (tptp.rrx2a C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rrx3 A C)) (tptp.rrx3 B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rrx3 C A)) (tptp.rrx3 C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rrx3a A C)) (tptp.rrx3a B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rrx3a C A)) (tptp.rrx3a C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rrx4 A C)) (tptp.rrx4 B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rrx4 C A)) (tptp.rrx4 C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rrx4a A C)) (tptp.rrx4a B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rrx4a C A)) (tptp.rrx4a C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rrxa A C)) (tptp.rrxa B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rrxa C A)) (tptp.rrxa 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_9 _let_8 _let_7 _let_6 _let_5 _let_4 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.rrx3 X Y) (tptp.rrx3 X Z)) (= Y Z))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.rrx3a X Y) (tptp.rrx3a X Z)) (= Y Z))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.rrx4 X Y) (tptp.rrx4 X Z)) (= Y Z))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.rrx4a X Y) (tptp.rrx4a X Z)) (= Y Z))) _let_3 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.rrx3 X Y) (tptp.rrx1 X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.rrx3a X Y) (tptp.rrxa X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.rrx4a X Y) (tptp.rrxa X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.rrx4 X Y) (tptp.rrx2 X Y))) _let_2 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.rrx3a X Y) (tptp.rrx1a X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.rrx4a X Y) (tptp.rrx2a X Y))) _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.55 )
% 0.20/0.55 % SZS output end Proof for KRS107+1
% 0.20/0.55 % cvc5---1.0.5 exiting
% 0.20/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------