TSTP Solution File: KRS112+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KRS112+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 0.20s 0.53s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS112+1 : TPTP v8.1.2. Released v3.1.0.
% 0.06/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n023.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 01:46:25 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.H5hPOHoIro/cvc5---1.0.5_2576.p...
% 0.20/0.49 ------- get file name : TPTP file name is KRS112+1
% 0.20/0.49 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2576.smt2...
% 0.20/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.53 % SZS status Unsatisfiable for KRS112+1
% 0.20/0.53 % SZS output start Proof for KRS112+1
% 0.35/0.54 (
% 0.35/0.54 (let ((_let_1 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.rs X Y) (tptp.rf1 X Y))))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.rs X Y) (tptp.rf X Y))))) (let ((_let_3 (tptp.cUnsatisfiable tptp.i2003_11_14_17_21_19256))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.rinvF1 X Y) (tptp.rf1 Y X))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.rf1 X Y) (tptp.rf1 X Z)) (= Y Z))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.rf X Y) (tptp.rf X Z)) (= Y Z))))) (let ((_let_7 (forall ((X $$unsorted)) (= (tptp.ca_Vx3 X) (exists ((Y $$unsorted)) (and (tptp.rs X Y) (tptp.cowlThing Y))))))) (let ((_let_8 (forall ((X $$unsorted)) (= (tptp.ca_Ax2 X) (and (tptp.cpxcomp X) (forall ((Y $$unsorted)) (=> (tptp.rinvF1 X Y) (tptp.ca_Vx3 Y)))))))) (let ((_let_9 (forall ((X $$unsorted)) (= (tptp.cpxcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px1 X Y0)))))) (let ((_let_10 (forall ((X $$unsorted)) (= (tptp.cp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px1 X Y))))))) (let ((_let_11 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (exists ((Y $$unsorted)) (and (tptp.rf1 X Y) (tptp.ca_Ax2 Y))) (exists ((Y $$unsorted)) (and (tptp.rf X Y) (tptp.cp Y)))))))) (let ((_let_12 (forall ((Y $$unsorted)) (not (tptp.ra_Px1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Y))))) (let ((_let_13 (tptp.ra_Px1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_14 (tptp.cp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_15 (= _let_14 _let_12))) (let ((_let_16 (forall ((X $$unsorted)) (= (tptp.cp X) (forall ((Y $$unsorted)) (not (tptp.ra_Px1 X Y))))))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (not _let_14))) (let ((_let_19 (tptp.rf tptp.i2003_11_14_17_21_19256 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_18))) (let ((_let_22 (forall ((Y $$unsorted)) (or (not (tptp.rf tptp.i2003_11_14_17_21_19256 Y)) (not (tptp.cp Y)))))) (let ((_let_23 (not _let_21))) (let ((_let_24 (not _let_22))) (let ((_let_25 (forall ((Y $$unsorted)) (or (not (tptp.rf1 tptp.i2003_11_14_17_21_19256 Y)) (not (tptp.ca_Ax2 Y)))))) (let ((_let_26 (not _let_25))) (let ((_let_27 (and _let_26 _let_24))) (let ((_let_28 (= _let_3 _let_27))) (let ((_let_29 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (not (forall ((Y $$unsorted)) (or (not (tptp.rf1 X Y)) (not (tptp.ca_Ax2 Y))))) (not (forall ((Y $$unsorted)) (or (not (tptp.rf X Y)) (not (tptp.cp Y)))))))))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_28)) :args ((or (not _let_3) _let_27 (not _let_28)))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.i2003_11_14_17_21_19256 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cUnsatisfiable X)))) :args (_let_29))) _let_30 :args (_let_28 false _let_29)) :args (_let_27 false _let_3 false _let_28)))) (let ((_let_32 (not _let_27))) (let ((_let_33 (or))) (let ((_let_34 (_let_24))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_34)) :args _let_34)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_22))) (REFL :args (_let_23)) :args _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_27 1)) :args ((or _let_24 _let_32))) _let_31 :args (_let_24 false _let_27)) :args (_let_23 true _let_22)))) (let ((_let_36 (REFL :args (_let_21)))) (let ((_let_37 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_38 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_39 (tptp.ra_Px1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_40 (tptp.rf1 tptp.i2003_11_14_17_21_19256 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.rf1 tptp.i2003_11_14_17_21_19256 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 _let_41 _let_37))) (let ((_let_45 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.rf1 X Y)) (not (tptp.rf1 X Z)) (= Y Z))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (tptp.rs tptp.i2003_11_14_17_21_19256 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_48 _let_40))) (let ((_let_50 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.rs X Y)) (tptp.rf1 X Y))))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (or _let_48 (not (tptp.cowlThing SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))))) (let ((_let_53 (forall ((Y $$unsorted)) (or (not (tptp.rs tptp.i2003_11_14_17_21_19256 Y)) (not (tptp.cowlThing Y)))))) (let ((_let_54 (not _let_52))) (let ((_let_55 (not _let_53))) (let ((_let_56 (tptp.ca_Vx3 tptp.i2003_11_14_17_21_19256))) (let ((_let_57 (= _let_56 _let_55))) (let ((_let_58 (forall ((X $$unsorted)) (= (tptp.ca_Vx3 X) (not (forall ((Y $$unsorted)) (or (not (tptp.rs X Y)) (not (tptp.cowlThing Y))))))))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (tptp.rinvF1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.i2003_11_14_17_21_19256))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_56))) (let ((_let_63 (forall ((Y $$unsorted)) (or (not (tptp.rinvF1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y)) (tptp.ca_Vx3 Y))))) (let ((_let_64 (tptp.cpxcomp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_65 (and _let_64 _let_63))) (let ((_let_66 (tptp.ca_Ax2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_67 (= _let_66 _let_65))) (let ((_let_68 (forall ((X $$unsorted)) (= (tptp.ca_Ax2 X) (and (tptp.cpxcomp X) (forall ((Y $$unsorted)) (or (not (tptp.rinvF1 X Y)) (tptp.ca_Vx3 Y)))))))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (not _let_66))) (let ((_let_71 (or _let_43 _let_70))) (let ((_let_72 (not _let_71))) (let ((_let_73 (_let_26))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_73)) :args _let_73)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) (REFL :args (_let_72)) :args _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_27 0)) :args ((or _let_26 _let_32))) _let_31 :args (_let_26 false _let_27)) :args (_let_72 true _let_25)))) (let ((_let_75 (REFL :args (_let_71)))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_67)) :args ((or _let_70 _let_65 (not _let_67)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_71 1)) (CONG _let_75 (MACRO_SR_PRED_INTRO :args ((= (not _let_70) _let_66))) :args _let_33)) :args ((or _let_66 _let_71))) _let_74 :args (_let_66 true _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ca_Ax2 X)))) :args (_let_68))) _let_69 :args (_let_67 false _let_68)) :args (_let_65 false _let_66 false _let_67)))) (let ((_let_77 (not _let_65))) (let ((_let_78 (_let_63))) (let ((_let_79 (= _let_42 _let_60))) (let ((_let_80 (_let_4))) (let ((_let_81 (ASSUME :args _let_80))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_71 0)) (CONG _let_75 (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_42))) :args _let_33)) :args ((or _let_42 _let_71))) _let_74 :args (_let_42 true _let_71)))) (let ((_let_83 (_let_55))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 0)) (CONG (REFL :args (_let_52)) (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_47))) :args _let_33)) :args ((or _let_47 _let_52))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_83)) :args _let_83)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_53))) (REFL :args (_let_54)) :args _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_57)) :args ((or (not _let_56) _let_55 (not _let_57)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_61 _let_56 (not _let_62)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_79)) :args ((or _let_43 _let_60 (not _let_79)))) _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_81 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.i2003_11_14_17_21_19256 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.rf1 Y X)))) :args _let_80))) _let_81 :args (_let_79 false _let_4)) :args (_let_60 false _let_42 false _let_79)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_78) :args (tptp.i2003_11_14_17_21_19256 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rinvF1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y) false))))) :args _let_78)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_65 1)) :args ((or _let_63 _let_77))) _let_76 :args (_let_63 false _let_65)) :args (_let_62 false _let_63)) :args (_let_56 false _let_60 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.i2003_11_14_17_21_19256 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ca_Vx3 X)))) :args (_let_58))) _let_59 :args (_let_57 false _let_58)) :args (_let_55 false _let_56 false _let_57)) :args (_let_54 true _let_53)) :args (_let_47 true _let_52)))) (let ((_let_85 (tptp.rf tptp.i2003_11_14_17_21_19256 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_86 (not _let_85))) (let ((_let_87 (or _let_20 _let_86 _let_38))) (let ((_let_88 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.rf X Y)) (not (tptp.rf X Z)) (= Y Z))))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (or _let_48 _let_85))) (let ((_let_91 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.rs X Y)) (tptp.rf X Y))))) (let ((_let_92 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_93 (forall ((Y0 $$unsorted)) (not (tptp.ra_Px1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y0))))) (let ((_let_94 (not _let_93))) (let ((_let_95 (= _let_64 _let_94))) (let ((_let_96 (forall ((X $$unsorted)) (= (tptp.cpxcomp X) (not (forall ((Y0 $$unsorted)) (not (tptp.ra_Px1 X Y0)))))))) (let ((_let_97 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_98 (_let_39))) (let ((_let_99 (_let_94))) (let ((_let_100 (and _let_39 _let_38 _let_37))) (let ((_let_101 (ASSUME :args _let_98))) (let ((_let_102 (ASSUME :args (_let_37)))) (let ((_let_103 (ASSUME :args (_let_38)))) (let ((_let_104 (_let_12))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_104) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ra_Px1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Y) false))))) :args _let_104)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_100)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_101 _let_102 _let_103) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (SYMM (SYMM _let_103)) (SYMM _let_102)) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) :args (APPLY_UF tptp.ra_Px1)) (TRUE_INTRO _let_101))) :args (_let_39 _let_37 _let_38))) :args (_let_39 _let_38 _let_37))) :args (true _let_100)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_99)) :args _let_99) (REWRITE :args ((=> _let_94 (not (not _let_39))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_94) _let_93))) (REFL :args _let_98) :args _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_95)) :args ((or (not _let_64) _let_94 (not _let_95)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_65 0)) :args ((or _let_64 _let_77))) _let_76 :args (_let_64 false _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cpxcomp X)))) :args (_let_96))) _let_97 :args (_let_95 false _let_96)) :args (_let_94 false _let_64 false _let_95)) :args (_let_39 true _let_93)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_20 _let_86 _let_38 (not _let_87)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 0)) (CONG _let_36 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_33)) :args ((or _let_19 _let_21))) _let_35 :args (_let_19 true _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_48 _let_85 (not _let_90)))) _let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (tptp.i2003_11_14_17_21_19256 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rs X Y) false))))) :args (_let_91))) _let_92 :args (_let_90 false _let_91)) :args (_let_85 false _let_47 false _let_90)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (tptp.i2003_11_14_17_21_19256 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.rf X Y) false)) (not (= (tptp.rf X Z) false))))) :args (_let_88))) _let_89 :args (_let_87 false _let_88)) :args (_let_38 false _let_19 false _let_85 false _let_87)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_43 _let_41 _let_37 (not _let_44)))) _let_82 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_48 _let_40 (not _let_49)))) _let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.i2003_11_14_17_21_19256 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rs X Y) false))))) :args (_let_50))) _let_51 :args (_let_49 false _let_50)) :args (_let_40 false _let_47 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.i2003_11_14_17_21_19256 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.rf1 X Y) false)) (not (= (tptp.rf1 X Z) false))))) :args (_let_45))) _let_46 :args (_let_44 false _let_45)) :args (_let_37 false _let_42 false _let_40 false _let_44)) :args (_let_13 false _let_39 false _let_38 false _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_15)) :args ((or _let_18 _let_12 (not _let_15)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 1)) (CONG _let_36 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_14))) :args _let_33)) :args ((or _let_14 _let_21))) _let_35 :args (_let_14 true _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cp X)))) :args (_let_16))) _let_17 :args (_let_15 false _let_16)) :args (_let_12 false _let_14 false _let_15)) :args (false 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_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_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.rinvF X Y) (tptp.rf Y X))) _let_4 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.rinvS X Y) (tptp.rs Y X))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.rs X Y) (tptp.rs X Z)) (= Y Z))) _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.35/0.54 )
% 0.35/0.54 % SZS output end Proof for KRS112+1
% 0.35/0.54 % cvc5---1.0.5 exiting
% 0.35/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------