TSTP Solution File: KLE131+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE131+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n028.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 05:27:21 EDT 2023
% Result : Theorem 51.33s 51.86s
% Output : Proof 51.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KLE131+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n028.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 : Tue Aug 29 11:41:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.18/0.47 %----Proving TF0_NAR, FOF, or CNF
% 51.33/51.86 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Y40pJhRA4x/cvc5---1.0.5_22285.p...
% 51.33/51.86 ------- get file name : TPTP file name is KLE131+1
% 51.33/51.86 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_22285.smt2...
% 51.33/51.86 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 51.33/51.86 --- Run --no-e-matching --full-saturate-quant at 5...
% 51.33/51.86 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 51.33/51.86 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 51.33/51.86 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 51.33/51.86 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 51.33/51.86 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 51.33/51.86 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 51.33/51.86 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 51.33/51.86 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 51.33/51.86 % SZS status Theorem for KLE131+1
% 51.33/51.86 % SZS output start Proof for KLE131+1
% 51.33/51.86 (
% 51.33/51.86 (let ((_let_1 (not (forall ((X0 $$unsorted)) (=> (forall ((X1 $$unsorted)) (let ((_let_1 (tptp.domain X1))) (let ((_let_2 (tptp.forward_diamond (tptp.star X0) (tptp.domain_difference _let_1 (tptp.forward_diamond X0 _let_1))))) (= (tptp.addition _let_1 _let_2) _let_2)))) (= (tptp.divergence X0) tptp.zero)))))) (let ((_let_2 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.divergence X0))) (= (tptp.forward_diamond X0 _let_1) _let_1))))) (let ((_let_3 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.forward_diamond X0 X1) (tptp.domain (tptp.multiplication X0 (tptp.domain X1))))))) (let ((_let_4 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.domain_difference X0 X1) (tptp.multiplication (tptp.domain X0) (tptp.antidomain X1)))))) (let ((_let_5 (forall ((X0 $$unsorted)) (= (tptp.domain X0) (tptp.antidomain (tptp.antidomain X0)))))) (let ((_let_6 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.antidomain X0))) (= (tptp.addition (tptp.antidomain _let_1) _let_1) tptp.one))))) (let ((_let_7 (forall ((X0 $$unsorted)) (= (tptp.multiplication (tptp.antidomain X0) X0) tptp.zero)))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_11 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_12 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_13 (tptp.divergence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_14 (= tptp.zero _let_13))) (let ((_let_15 (tptp.forward_diamond SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13))) (let ((_let_16 (= _let_13 _let_15))) (let ((_let_17 (tptp.domain tptp.zero))) (let ((_let_18 (tptp.antidomain tptp.zero))) (let ((_let_19 (tptp.antidomain _let_18))) (let ((_let_20 (= _let_19 _let_17))) (let ((_let_21 (= (tptp.domain_difference tptp.zero tptp.zero) (tptp.multiplication _let_17 _let_18)))) (let ((_let_22 (tptp.divergence tptp.zero))) (let ((_let_23 (tptp.forward_diamond tptp.zero _let_22))) (let ((_let_24 (= _let_22 _let_23))) (let ((_let_25 (= tptp.zero (tptp.multiplication _let_19 _let_18)))) (let ((_let_26 (tptp.domain _let_13))) (let ((_let_27 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_26))) (let ((_let_28 (tptp.domain _let_27))) (let ((_let_29 (= _let_15 _let_28))) (let ((_let_30 (tptp.forward_diamond SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17))) (let ((_let_31 (= _let_30 (tptp.domain (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.domain _let_17)))))) (let ((_let_32 (tptp.domain_difference _let_17 _let_30))) (let ((_let_33 (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_34 (= (tptp.forward_diamond _let_33 _let_32) (tptp.domain (tptp.multiplication _let_33 (tptp.domain _let_32)))))) (let ((_let_35 (tptp.domain _let_22))) (let ((_let_36 (tptp.multiplication tptp.zero _let_35))) (let ((_let_37 (= _let_23 (tptp.domain _let_36)))) (let ((_let_38 (tptp.antidomain tptp.one))) (let ((_let_39 (tptp.multiplication _let_38 tptp.one))) (let ((_let_40 (= tptp.zero _let_39))) (let ((_let_41 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero)))) (let ((_let_42 (tptp.antidomain _let_38))) (let ((_let_43 (= tptp.one (tptp.addition _let_42 _let_38)))) (let ((_let_44 (tptp.domain tptp.one))) (let ((_let_45 (= _let_42 _let_44))) (let ((_let_46 (= tptp.zero _let_36))) (let ((_let_47 (= _let_38 _let_39))) (let ((_let_48 (= _let_44 (tptp.multiplication tptp.one _let_44)))) (let ((_let_49 (= _let_42 (tptp.addition _let_42 tptp.zero)))) (let ((_let_50 (= tptp.zero (tptp.multiplication _let_33 tptp.zero)))) (let ((_let_51 (tptp.antidomain _let_13))) (let ((_let_52 (tptp.antidomain _let_51))) (let ((_let_53 (= _let_26 _let_52))) (let ((_let_54 (tptp.forward_diamond SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_28))) (let ((_let_55 (tptp.domain_difference _let_28 _let_54))) (let ((_let_56 (tptp.forward_diamond _let_33 _let_55))) (let ((_let_57 (= _let_56 (tptp.addition _let_28 _let_56)))) (let ((_let_58 (= tptp.zero (tptp.multiplication _let_52 _let_51)))) (let ((_let_59 (= _let_55 (tptp.multiplication (tptp.domain _let_28) (tptp.antidomain _let_54))))) (let ((_let_60 (= _let_28 (tptp.addition _let_28 tptp.zero)))) (let ((_let_61 (forall ((X1 $$unsorted)) (let ((_let_1 (tptp.domain X1))) (let ((_let_2 (tptp.forward_diamond (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.domain_difference _let_1 (tptp.forward_diamond SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1))))) (= _let_2 (tptp.addition _let_1 _let_2))))))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_62 _let_14))) (let ((_let_64 (forall ((X0 $$unsorted)) (or (not (forall ((X1 $$unsorted)) (let ((_let_1 (tptp.domain X1))) (let ((_let_2 (tptp.forward_diamond (tptp.star X0) (tptp.domain_difference _let_1 (tptp.forward_diamond X0 _let_1))))) (= _let_2 (tptp.addition _let_1 _let_2)))))) (= tptp.zero (tptp.divergence X0)))))) (let ((_let_65 (not _let_63))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_67 (or))) (let ((_let_68 (not _let_64))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_66) :args (_let_68))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_68) _let_64))) (REFL :args (_let_65)) :args _let_67)) _let_66 :args (_let_65 true _let_64)))) (let ((_let_70 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.divergence X0))) (= _let_1 (tptp.forward_diamond X0 _let_1)))))) (let ((_let_71 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_72 (_let_70))) (let ((_let_73 (_let_5))) (let ((_let_74 (ASSUME :args _let_73))) (let ((_let_75 (tptp.zero QUANTIFIERS_INST_ENUM))) (let ((_let_76 (_let_4))) (let ((_let_77 (ASSUME :args _let_76))) (let ((_let_78 (forall ((X0 $$unsorted)) (= tptp.zero (tptp.multiplication (tptp.antidomain X0) X0))))) (let ((_let_79 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_80 (_let_78))) (let ((_let_81 (_let_3))) (let ((_let_82 (ASSUME :args _let_81))) (let ((_let_83 ((tptp.forward_diamond X0 X1)))) (let ((_let_84 (tptp.one QUANTIFIERS_INST_ENUM))) (let ((_let_85 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication A tptp.zero))))) (let ((_let_86 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_87 (_let_85))) (let ((_let_88 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.antidomain X0))) (= tptp.one (tptp.addition (tptp.antidomain _let_1) _let_1)))))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_93 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_94 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_95 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_96 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_97 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_98 (_let_96))) (let ((_let_99 (_let_61))) (let ((_let_100 (and _let_16 _let_20 _let_21 _let_24 _let_25 _let_29 _let_31 _let_34 _let_37 _let_40 _let_41 _let_43 _let_45 _let_46 _let_47 _let_48 _let_49 _let_50 _let_53 _let_57 _let_58 _let_59 _let_60))) (let ((_let_101 (ASSUME :args (_let_16)))) (let ((_let_102 (SYMM _let_101))) (let ((_let_103 (ASSUME :args (_let_29)))) (let ((_let_104 (SYMM _let_103))) (let ((_let_105 (ASSUME :args (_let_60)))) (let ((_let_106 (APPLY_UF tptp.addition))) (let ((_let_107 (ASSUME :args (_let_40)))) (let ((_let_108 (SYMM _let_107))) (let ((_let_109 (ASSUME :args (_let_47)))) (let ((_let_110 (SYMM _let_109))) (let ((_let_111 (SYMM _let_110))) (let ((_let_112 (APPLY_UF tptp.antidomain))) (let ((_let_113 (ASSUME :args (_let_43)))) (let ((_let_114 (TRANS _let_107 _let_110))) (let ((_let_115 (ASSUME :args (_let_49)))) (let ((_let_116 (ASSUME :args (_let_45)))) (let ((_let_117 (ASSUME :args (_let_48)))) (let ((_let_118 (APPLY_UF tptp.multiplication))) (let ((_let_119 (CONG (REFL :args (tptp.one)) _let_116 :args _let_118))) (let ((_let_120 (CONG (TRANS _let_119 (SYMM _let_117) (SYMM _let_116) (SYMM (SYMM _let_115)) (CONG (REFL :args (_let_42)) _let_114 :args _let_106) (SYMM _let_113)) :args _let_112))) (let ((_let_121 (CONG (TRANS (CONG _let_114 :args _let_112) _let_116 _let_117 (SYMM _let_119)) :args _let_112))) (let ((_let_122 (ASSUME :args (_let_20)))) (let ((_let_123 (SYMM _let_122))) (let ((_let_124 (APPLY_UF tptp.domain))) (let ((_let_125 (ASSUME :args (_let_50)))) (let ((_let_126 (ASSUME :args (_let_25)))) (let ((_let_127 (CONG _let_123 (REFL :args (_let_18)) :args _let_118))) (let ((_let_128 (ASSUME :args (_let_21)))) (let ((_let_129 (SYMM _let_128))) (let ((_let_130 (ASSUME :args (_let_41)))) (let ((_let_131 (ASSUME :args (_let_46)))) (let ((_let_132 (CONG (SYMM _let_131) :args _let_124))) (let ((_let_133 (ASSUME :args (_let_37)))) (let ((_let_134 (SYMM _let_133))) (let ((_let_135 (ASSUME :args (_let_24)))) (let ((_let_136 (SYMM _let_135))) (let ((_let_137 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_138 (ASSUME :args (_let_31)))) (let ((_let_139 (CONG (TRANS _let_123 _let_121 _let_120 _let_111 _let_108) (TRANS (SYMM (SYMM _let_138)) (CONG (TRANS (CONG _let_137 (TRANS (CONG (TRANS (SYMM _let_132) _let_134 _let_136) :args _let_124) (CONG (TRANS (SYMM _let_136) (SYMM _let_134) _let_132 _let_123 _let_121 _let_120 _let_111 _let_108) :args _let_124) _let_123 _let_121 _let_120 _let_111 _let_108) :args _let_118) (SYMM _let_130)) :args _let_124) _let_123 _let_121 _let_120 _let_111 _let_108) :args (APPLY_UF tptp.domain_difference)))) (let ((_let_140 (REFL :args (_let_33)))) (let ((_let_141 (CONG (TRANS (CONG _let_140 (TRANS (CONG (TRANS _let_139 (SYMM _let_129) _let_127 (SYMM _let_126)) :args _let_124) _let_123 _let_121 _let_120 _let_111 _let_108) :args _let_118) (SYMM _let_125)) :args _let_124))) (let ((_let_142 (ASSUME :args (_let_34)))) (let ((_let_143 (SYMM _let_142))) (let ((_let_144 (APPLY_UF tptp.forward_diamond))) (let ((_let_145 (ASSUME :args (_let_58)))) (let ((_let_146 (TRANS _let_104 _let_102))) (let ((_let_147 (ASSUME :args (_let_53)))) (let ((_let_148 (ASSUME :args (_let_59)))) (let ((_let_149 (CONG _let_140 (TRANS (SYMM (SYMM _let_148)) (CONG (TRANS (CONG _let_146 :args _let_124) (SYMM (SYMM _let_147))) (TRANS (CONG (TRANS (CONG _let_137 _let_146 :args _let_144) _let_103) :args _let_112) (CONG _let_146 :args _let_112)) :args _let_118) (SYMM _let_145) _let_126 (SYMM _let_127) _let_129 (SYMM _let_139)) :args _let_144))) (let ((_let_150 (ASSUME :args (_let_57)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_100)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_105 _let_148 _let_145 _let_150 _let_125 _let_115 _let_117 _let_147 _let_122 _let_101 _let_128 _let_135 _let_126 _let_138 _let_107 _let_103 _let_130 _let_142 _let_113 _let_133 _let_109 _let_131 _let_116) (SCOPE (TRANS _let_107 _let_110 (SYMM _let_120) (SYMM _let_121) _let_122 (SYMM _let_141) _let_143 (SYMM _let_149) (SYMM (SYMM _let_150)) (CONG (REFL :args (_let_28)) (TRANS _let_149 (SYMM _let_143) _let_141 _let_123 _let_121 _let_120 _let_111 _let_108) :args _let_106) (SYMM _let_105) _let_104 _let_102) :args (_let_60 _let_59 _let_58 _let_57 _let_50 _let_49 _let_48 _let_53 _let_20 _let_16 _let_21 _let_24 _let_25 _let_31 _let_40 _let_29 _let_41 _let_34 _let_43 _let_37 _let_47 _let_46 _let_45))) :args (_let_16 _let_20 _let_21 _let_24 _let_25 _let_29 _let_31 _let_34 _let_37 _let_40 _let_41 _let_43 _let_45 _let_46 _let_47 _let_48 _let_49 _let_50 _let_53 _let_57 _let_58 _let_59 _let_60))) :args (true _let_100)) :args ((or _let_14 (not _let_16) (not _let_20) (not _let_21) (not _let_24) (not _let_25) (not _let_29) (not _let_31) (not _let_34) (not _let_37) (not _let_40) (not _let_41) (not _let_43) (not _let_45) (not _let_46) (not _let_47) (not _let_48) (not _let_49) (not _let_50) (not _let_53) (not _let_57) (not _let_58) (not _let_59) (not _let_60)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (_let_28 QUANTIFIERS_INST_ENUM)) :args _let_98)) _let_97 :args (_let_60 false _let_96)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_28 _let_54 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.domain_difference X0 X1)))) :args _let_76)) _let_77 :args (_let_59 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (_let_51 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.antidomain X0)))) :args _let_80)) _let_79 :args (_let_58 false _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_99) :args (_let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.domain X1)))) :args _let_99)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_63 0)) (CONG (REFL :args (_let_63)) (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_61))) :args _let_67)) :args ((or _let_61 _let_63))) _let_69 :args (_let_61 true _let_63)) :args (_let_57 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.domain X0)))) :args _let_73)) _let_74 :args (_let_53 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_33 QUANTIFIERS_INST_CBQI_PROP)) :args _let_87)) _let_86 :args (_let_50 false _let_85)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (_let_42 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_98)) _let_97 :args (_let_49 false _let_96)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_44 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_94))) _let_95 :args (_let_48 false _let_94)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_38 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_92))) _let_93 :args (_let_47 false _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_35 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_90))) _let_91 :args (_let_46 false _let_90)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args _let_84) :args _let_73))) _let_74 :args (_let_45 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args _let_84) :args (_let_88))) _let_89 :args (_let_43 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_87)) _let_86 :args (_let_41 false _let_85)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args _let_84) :args _let_80)) _let_79 :args (_let_40 false _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (tptp.zero _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_83)) :args _let_81)) _let_82 :args (_let_37 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_33 _let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_83)) :args _let_81)) _let_82 :args (_let_34 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_83)) :args _let_81)) _let_82 :args (_let_31 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_83)) :args _let_81)) _let_82 :args (_let_29 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (_let_18 QUANTIFIERS_INST_CBQI_PROP)) :args _let_80)) _let_79 :args (_let_25 false _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args _let_75) :args _let_72)) _let_71 :args (_let_24 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (tptp.zero tptp.zero QUANTIFIERS_INST_ENUM)) :args _let_76)) _let_77 :args (_let_21 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args _let_75) :args _let_73))) _let_74 :args (_let_20 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.divergence X0)))) :args _let_72)) _let_71 :args (_let_16 false _let_70)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_63 1)) _let_69 :args ((not _let_14) true _let_63)) :args (false false _let_60 false _let_59 false _let_58 false _let_57 false _let_53 false _let_50 false _let_49 false _let_48 false _let_47 false _let_46 false _let_45 false _let_43 false _let_41 false _let_40 false _let_37 false _let_34 false _let_31 false _let_29 false _let_25 false _let_24 false _let_21 false _let_20 false _let_16 true _let_14)) :args ((forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))) (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) _let_12 (forall ((A $$unsorted)) (= (tptp.addition A A) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) _let_11 _let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))) _let_9 _let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) _let_7 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.antidomain (tptp.multiplication X0 (tptp.antidomain (tptp.antidomain X1)))))) (= (tptp.addition (tptp.antidomain (tptp.multiplication X0 X1)) _let_1) _let_1))) _let_6 _let_5 (forall ((X0 $$unsorted)) (= (tptp.multiplication X0 (tptp.coantidomain X0)) tptp.zero)) (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.coantidomain (tptp.multiplication (tptp.coantidomain (tptp.coantidomain X0)) X1)))) (= (tptp.addition (tptp.coantidomain (tptp.multiplication X0 X1)) _let_1) _let_1))) (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.coantidomain X0))) (= (tptp.addition (tptp.coantidomain _let_1) _let_1) tptp.one))) (forall ((X0 $$unsorted)) (= (tptp.codomain X0) (tptp.coantidomain (tptp.coantidomain X0)))) (forall ((X0 $$unsorted)) (= (tptp.c X0) (tptp.antidomain (tptp.domain X0)))) _let_4 _let_3 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.backward_diamond X0 X1) (tptp.codomain (tptp.multiplication (tptp.codomain X1) X0)))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.forward_box X0 X1) (tptp.c (tptp.forward_diamond X0 (tptp.c X1))))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.backward_box X0 X1) (tptp.c (tptp.backward_diamond X0 (tptp.c X1))))) _let_2 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (tptp.domain X2))) (let ((_let_2 (tptp.addition (tptp.divergence X1) (tptp.forward_diamond (tptp.star X1) _let_1)))) (let ((_let_3 (tptp.domain X0))) (let ((_let_4 (tptp.addition (tptp.forward_diamond X1 _let_3) _let_1))) (=> (= (tptp.addition _let_3 _let_4) _let_4) (= (tptp.addition _let_3 _let_2) _let_2))))))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 51.33/51.86 )
% 51.33/51.86 % SZS output end Proof for KLE131+1
% 51.33/51.86 % cvc5---1.0.5 exiting
% 51.33/51.86 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------