TSTP Solution File: KRS116+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KRS116+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n008.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 0.21s 0.56s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KRS116+1 : TPTP v8.1.2. Released v3.1.0.
% 0.14/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n008.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 02:15:47 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.z19pfSjm6N/cvc5---1.0.5_12402.p...
% 0.21/0.51 ------- get file name : TPTP file name is KRS116+1
% 0.21/0.51 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_12402.smt2...
% 0.21/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.56 % SZS status Unsatisfiable for KRS116+1
% 0.21/0.56 % SZS output start Proof for KRS116+1
% 0.21/0.56 (
% 0.21/0.56 (let ((_let_1 (tptp.cUnsatisfiable tptp.i2003_11_14_17_21_33997))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.rinvS X Y) (tptp.rs Y X))))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.rinvR X Y) (tptp.rr Y X))))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.rinvP X Y) (tptp.rp Y X))))) (let ((_let_5 (forall ((X $$unsorted)) (= (tptp.ca_Vx7 X) (forall ((Y $$unsorted)) (=> (tptp.rinvP X Y) (tptp.ca_Vx6 Y))))))) (let ((_let_6 (forall ((X $$unsorted)) (= (tptp.ca_Vx6 X) (forall ((Y $$unsorted)) (=> (tptp.rinvS X Y) (tptp.caxcomp Y))))))) (let ((_let_7 (forall ((X $$unsorted)) (= (tptp.ca_Vx5 X) (forall ((Y $$unsorted)) (=> (tptp.rr X Y) (tptp.cc Y))))))) (let ((_let_8 (forall ((X $$unsorted)) (= (tptp.ca_Vx3 X) (exists ((Y $$unsorted)) (and (tptp.rr X Y) (tptp.cowlThing Y))))))) (let ((_let_9 (forall ((X $$unsorted)) (= (tptp.ca_Ax2 X) (and (forall ((Y $$unsorted)) (=> (tptp.rp X Y) (tptp.ca_Vx3 Y))) (forall ((Y $$unsorted)) (=> (tptp.rp X Y) (tptp.ca_Vx5 Y))) (forall ((Y $$unsorted)) (=> (tptp.rr X Y) (tptp.cc Y))) (exists ((Y $$unsorted)) (and (tptp.rr X Y) (tptp.cowlThing Y))) (exists ((Y $$unsorted)) (and (tptp.rp X Y) (tptp.cowlThing Y))) (forall ((Y $$unsorted)) (=> (tptp.rp X Y) (tptp.ca_Vx4 Y)))))))) (let ((_let_10 (forall ((X $$unsorted)) (= (tptp.cc X) (forall ((Y $$unsorted)) (=> (tptp.rinvR X Y) (tptp.ca_Vx7 Y))))))) (let ((_let_11 (forall ((X $$unsorted)) (= (tptp.caxcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px1 X Y0)))))) (let ((_let_12 (forall ((X $$unsorted)) (= (tptp.ca X) (not (exists ((Y $$unsorted)) (tptp.ra_Px1 X Y))))))) (let ((_let_13 (forall ((X $$unsorted)) (=> (tptp.cUnsatisfiable X) (exists ((Y $$unsorted)) (and (tptp.rs X Y) (tptp.ca_Ax2 Y))))))) (let ((_let_14 (forall ((X $$unsorted)) (=> (tptp.cUnsatisfiable X) (tptp.ca X))))) (let ((_let_15 (tptp.caxcomp tptp.i2003_11_14_17_21_33997))) (let ((_let_16 (forall ((Y0 $$unsorted)) (not (tptp.ra_Px1 tptp.i2003_11_14_17_21_33997 Y0))))) (let ((_let_17 (not _let_16))) (let ((_let_18 (= _let_15 _let_17))) (let ((_let_19 (tptp.rinvS SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.i2003_11_14_17_21_33997))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_15))) (let ((_let_22 (forall ((Y $$unsorted)) (or (not (tptp.rinvS SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y)) (tptp.caxcomp Y))))) (let ((_let_23 (tptp.ca_Vx6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_24 (= _let_23 _let_22))) (let ((_let_25 (forall ((X $$unsorted)) (= (tptp.ca_Vx6 X) (forall ((Y $$unsorted)) (or (not (tptp.rinvS X Y)) (tptp.caxcomp Y))))))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (tptp.rinvP SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_23))) (let ((_let_30 (forall ((Y $$unsorted)) (or (not (tptp.rinvP SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 Y)) (tptp.ca_Vx6 Y))))) (let ((_let_31 (tptp.ca_Vx7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_32 (= _let_31 _let_30))) (let ((_let_33 (forall ((X $$unsorted)) (= (tptp.ca_Vx7 X) (forall ((Y $$unsorted)) (or (not (tptp.rinvP X Y)) (tptp.ca_Vx6 Y))))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (tptp.rinvR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 _let_31))) (let ((_let_38 (forall ((Y $$unsorted)) (or (not (tptp.rinvR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Y)) (tptp.ca_Vx7 Y))))) (let ((_let_39 (tptp.cc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_40 (= _let_39 _let_38))) (let ((_let_41 (forall ((X $$unsorted)) (= (tptp.cc X) (forall ((Y $$unsorted)) (or (not (tptp.rinvR X Y)) (tptp.ca_Vx7 Y))))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (tptp.rr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_39))) (let ((_let_46 (forall ((Y $$unsorted)) (or (not (tptp.rr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 Y)) (tptp.cc Y))))) (let ((_let_47 (tptp.ca_Vx5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_48 (= _let_47 _let_46))) (let ((_let_49 (forall ((X $$unsorted)) (= (tptp.ca_Vx5 X) (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (tptp.cc Y))))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (tptp.rp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_52 _let_47))) (let ((_let_54 (forall ((Y $$unsorted)) (or (not (tptp.rp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y)) (tptp.ca_Vx5 Y))))) (let ((_let_55 (forall ((Y $$unsorted)) (or (not (tptp.rp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y)) (not (tptp.cowlThing Y)))))) (let ((_let_56 (not _let_55))) (let ((_let_57 (forall ((Y $$unsorted)) (or (not (tptp.rp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y)) (tptp.ca_Vx3 Y))))) (let ((_let_58 (and _let_57 _let_54 (forall ((Y $$unsorted)) (or (not (tptp.rr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y)) (tptp.cc Y))) (not (forall ((Y $$unsorted)) (or (not (tptp.rr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y)) (not (tptp.cowlThing Y))))) _let_56 (forall ((Y $$unsorted)) (or (not (tptp.rp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y)) (tptp.ca_Vx4 Y)))))) (let ((_let_59 (tptp.ca_Ax2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_60 (= _let_59 _let_58))) (let ((_let_61 (forall ((X $$unsorted)) (= (tptp.ca_Ax2 X) (and (forall ((Y $$unsorted)) (or (not (tptp.rp X Y)) (tptp.ca_Vx3 Y))) (forall ((Y $$unsorted)) (or (not (tptp.rp X Y)) (tptp.ca_Vx5 Y))) (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (tptp.cc Y))) (not (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (not (tptp.cowlThing Y))))) (not (forall ((Y $$unsorted)) (or (not (tptp.rp X Y)) (not (tptp.cowlThing Y))))) (forall ((Y $$unsorted)) (or (not (tptp.rp X Y)) (tptp.ca_Vx4 Y)))))))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (not _let_59))) (let ((_let_64 (tptp.rs tptp.i2003_11_14_17_21_33997 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_63))) (let ((_let_67 (forall ((Y $$unsorted)) (or (not (tptp.rs tptp.i2003_11_14_17_21_33997 Y)) (not (tptp.ca_Ax2 Y)))))) (let ((_let_68 (not _let_66))) (let ((_let_69 (not _let_67))) (let ((_let_70 (not _let_1))) (let ((_let_71 (or _let_70 _let_69))) (let ((_let_72 (forall ((X $$unsorted)) (or (not (tptp.cUnsatisfiable X)) (not (forall ((Y $$unsorted)) (or (not (tptp.rs X Y)) (not (tptp.ca_Ax2 Y))))))))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (ASSUME :args (_let_1)))) (let ((_let_75 (or))) (let ((_let_76 (_let_69))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_76)) :args _let_76)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_69) _let_67))) (REFL :args (_let_68)) :args _let_75)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_70 _let_69 (not _let_71)))) _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (tptp.i2003_11_14_17_21_33997 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.cUnsatisfiable X) false))))) :args (_let_72))) _let_73 :args (_let_71 false _let_72)) :args (_let_69 false _let_1 false _let_71)) :args (_let_68 true _let_67)))) (let ((_let_78 (REFL :args (_let_66)))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_60)) :args ((or _let_63 _let_58 (not _let_60)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 1)) (CONG _let_78 (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_59))) :args _let_75)) :args ((or _let_59 _let_66))) _let_77 :args (_let_59 true _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ca_Ax2 X)))) :args (_let_61))) _let_62 :args (_let_60 false _let_61)) :args (_let_58 false _let_59 false _let_60)))) (let ((_let_80 (not _let_58))) (let ((_let_81 (_let_54))) (let ((_let_82 (or _let_52 (not (tptp.cowlThing SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))) (let ((_let_83 (not _let_82))) (let ((_let_84 (_let_56))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_82 0)) (CONG (REFL :args (_let_82)) (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_51))) :args _let_75)) :args ((or _let_51 _let_82))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_84)) :args _let_84)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_55))) (REFL :args (_let_83)) :args _let_75)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_58 4)) :args ((or _let_56 _let_80))) _let_79 :args (_let_56 false _let_58)) :args (_let_83 true _let_55)) :args (_let_51 true _let_82)))) (let ((_let_86 (_let_46))) (let ((_let_87 (or _let_44 (not (tptp.cowlThing SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))))) (let ((_let_88 (forall ((Y $$unsorted)) (or (not (tptp.rr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 Y)) (not (tptp.cowlThing Y)))))) (let ((_let_89 (not _let_87))) (let ((_let_90 (not _let_88))) (let ((_let_91 (tptp.ca_Vx3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_92 (= _let_91 _let_90))) (let ((_let_93 (forall ((X $$unsorted)) (= (tptp.ca_Vx3 X) (not (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (not (tptp.cowlThing Y))))))))) (let ((_let_94 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_95 (or _let_52 _let_91))) (let ((_let_96 (_let_57))) (let ((_let_97 (_let_90))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_87 0)) (CONG (REFL :args (_let_87)) (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))) :args _let_75)) :args ((or _let_43 _let_87))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_97)) :args _let_97)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_90) _let_88))) (REFL :args (_let_89)) :args _let_75)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_92)) :args ((or (not _let_91) _let_90 (not _let_92)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_52 _let_91 (not _let_95)))) _let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_96) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y) false))))) :args _let_96)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_58 0)) :args ((or _let_57 _let_80))) _let_79 :args (_let_57 false _let_58)) :args (_let_95 false _let_57)) :args (_let_91 false _let_51 false _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ca_Vx3 X)))) :args (_let_93))) _let_94 :args (_let_92 false _let_93)) :args (_let_90 false _let_91 false _let_92)) :args (_let_89 true _let_88)) :args (_let_43 true _let_87)))) (let ((_let_99 (_let_38))) (let ((_let_100 (= _let_43 _let_35))) (let ((_let_101 (_let_3))) (let ((_let_102 (ASSUME :args _let_101))) (let ((_let_103 (_let_30))) (let ((_let_104 (= _let_51 _let_27))) (let ((_let_105 (_let_4))) (let ((_let_106 (ASSUME :args _let_105))) (let ((_let_107 (_let_22))) (let ((_let_108 (= _let_64 _let_19))) (let ((_let_109 (_let_2))) (let ((_let_110 (ASSUME :args _let_109))) (let ((_let_111 (forall ((Y $$unsorted)) (not (tptp.ra_Px1 tptp.i2003_11_14_17_21_33997 Y))))) (let ((_let_112 (tptp.ca tptp.i2003_11_14_17_21_33997))) (let ((_let_113 (= _let_112 _let_111))) (let ((_let_114 (forall ((X $$unsorted)) (= (tptp.ca X) (forall ((Y $$unsorted)) (not (tptp.ra_Px1 X Y))))))) (let ((_let_115 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_116 (or _let_70 _let_112))) (let ((_let_117 (forall ((X $$unsorted)) (or (not (tptp.cUnsatisfiable X)) (tptp.ca X))))) (let ((_let_118 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_119 (forall ((X $$unsorted)) (= (tptp.caxcomp X) (not (forall ((Y0 $$unsorted)) (not (tptp.ra_Px1 X Y0)))))))) (let ((_let_120 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_18)) :args ((or (not _let_15) _let_17 (not _let_18)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (tptp.i2003_11_14_17_21_33997 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.caxcomp X)))) :args (_let_119))) _let_120 :args (_let_18 false _let_119)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_111 (= Y Y0)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_113)) :args ((or (not _let_112) _let_111 (not _let_113)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_116)) :args ((or _let_70 _let_112 (not _let_116)))) _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (tptp.i2003_11_14_17_21_33997 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.cUnsatisfiable X) false))))) :args (_let_117))) _let_118 :args (_let_116 false _let_117)) :args (_let_112 false _let_1 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (tptp.i2003_11_14_17_21_33997 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ca X)))) :args (_let_114))) _let_115 :args (_let_113 false _let_114)) :args (_let_111 false _let_112 false _let_113)) :args (_let_16 false _let_111)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_20 _let_15 (not _let_21)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_108)) :args ((or _let_65 _let_19 (not _let_108)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 0)) (CONG _let_78 (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_64))) :args _let_75)) :args ((or _let_64 _let_66))) _let_77 :args (_let_64 true _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_110 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.i2003_11_14_17_21_33997 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.rs Y X)))) :args _let_109))) _let_110 :args (_let_108 false _let_2)) :args (_let_19 false _let_64 false _let_108)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_107) :args (tptp.i2003_11_14_17_21_33997 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rinvS SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y) false))))) :args _let_107)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_24)) :args ((or (not _let_23) _let_22 (not _let_24)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_28 _let_23 (not _let_29)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_104)) :args ((or _let_52 _let_27 (not _let_104)))) _let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_106 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.rp Y X)))) :args _let_105))) _let_106 :args (_let_104 false _let_4)) :args (_let_27 false _let_51 false _let_104)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_103) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rinvP SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 Y) false))))) :args _let_103)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_32)) :args ((or (not _let_31) _let_30 (not _let_32)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_36 _let_31 (not _let_37)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_100)) :args ((or _let_44 _let_35 (not _let_100)))) _let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_102 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.rr Y X)))) :args _let_101))) _let_102 :args (_let_100 false _let_3)) :args (_let_35 false _let_43 false _let_100)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_99) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rinvR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Y) false))))) :args _let_99)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_40)) :args ((or (not _let_39) _let_38 (not _let_40)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_44 _let_39 (not _let_45)))) _let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_86) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 Y) false))))) :args _let_86)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_48)) :args ((or (not _let_47) _let_46 (not _let_48)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_52 _let_47 (not _let_53)))) _let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_81) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y) false))))) :args _let_81)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_58 1)) :args ((or _let_54 _let_80))) _let_79 :args (_let_54 false _let_58)) :args (_let_53 false _let_54)) :args (_let_47 false _let_51 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ca_Vx5 X)))) :args (_let_49))) _let_50 :args (_let_48 false _let_49)) :args (_let_46 false _let_47 false _let_48)) :args (_let_45 false _let_46)) :args (_let_39 false _let_43 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cc X)))) :args (_let_41))) _let_42 :args (_let_40 false _let_41)) :args (_let_38 false _let_39 false _let_40)) :args (_let_37 false _let_38)) :args (_let_31 false _let_35 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ca_Vx7 X)))) :args (_let_33))) _let_34 :args (_let_32 false _let_33)) :args (_let_30 false _let_31 false _let_32)) :args (_let_29 false _let_30)) :args (_let_23 false _let_27 false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ca_Vx6 X)))) :args (_let_25))) _let_26 :args (_let_24 false _let_25)) :args (_let_22 false _let_23 false _let_24)) :args (_let_21 false _let_22)) :args (_let_15 false _let_19 false _let_21)) :args (false false _let_18 false _let_16 false _let_15)) :args ((forall ((X $$unsorted)) (and (tptp.cowlThing X) (not (tptp.cowlNothing X)))) (forall ((X $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))) _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 (forall ((X $$unsorted)) (= (tptp.ca_Vx4 X) (exists ((Y $$unsorted)) (and (tptp.rp X Y) (tptp.cowlThing Y))))) _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.rp X Y) (tptp.rp Y Z)) (tptp.rp X Z))) _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.56 )
% 0.21/0.57 % SZS output end Proof for KRS116+1
% 0.21/0.57 % cvc5---1.0.5 exiting
% 0.21/0.57 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------