%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE151-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n018.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 05:27:28 EDT 2023

% Result   : Unsatisfiable 25.85s 26.06s
% Output   : Proof 25.85s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : KLE151-10 : TPTP v8.1.2. Released v7.3.0.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n018.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 29 11:13:03 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.80asJ1chav/cvc5---1.0.5_9840.p...
% 0.21/0.51  ------- get file name : TPTP file name is KLE151-10
% 0.21/0.51  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_9840.smt2...
% 0.21/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.46/10.66  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.42/15.71  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.57/20.75  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.57/25.78  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 25.85/26.06  % SZS status Unsatisfiable for KLE151-10
% 25.85/26.06  % SZS output start Proof for KLE151-10
% 25.85/26.07  (
% 25.85/26.07  (let ((_let_1 (tptp.multiplication tptp.sK2_goals_X0 tptp.sK1_goals_X1))) (let ((_let_2 (tptp.multiplication tptp.sK1_goals_X1 tptp.sK2_goals_X0))) (let ((_let_3 (tptp.strong_iteration _let_2))) (let ((_let_4 (tptp.multiplication tptp.sK2_goals_X0 _let_3))) (let ((_let_5 (tptp.leq _let_4 (tptp.multiplication (tptp.strong_iteration _let_1) tptp.sK2_goals_X0)))) (let ((_let_6 (not (= _let_5 tptp.true)))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ifeq3 (tptp.addition A B) B (tptp.leq A B) tptp.true) tptp.true)))) (let ((_let_8 (forall ((A $$unsorted)) (let ((_let_1 (tptp.strong_iteration A))) (= _let_1 (tptp.addition (tptp.star A) (tptp.multiplication _let_1 tptp.zero))))))) (let ((_let_9 (forall ((C $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.ifeq (tptp.leq C (tptp.addition (tptp.multiplication A C) B)) tptp.true (tptp.leq C (tptp.multiplication (tptp.strong_iteration A) B)) tptp.true) tptp.true)))) (let ((_let_10 (forall ((A $$unsorted)) (let ((_let_1 (tptp.strong_iteration A))) (= _let_1 (tptp.addition (tptp.multiplication A _let_1) tptp.one)))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_12 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_14 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_16 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq A A B C) B)))) (let ((_let_17 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq3 A A B C) B)))) (let ((_let_18 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq A A B C))))) (let ((_let_19 (tptp.multiplication _let_1 _let_4))) (let ((_let_20 (tptp.addition _let_19 tptp.sK2_goals_X0))) (let ((_let_21 (tptp.leq _let_4 _let_20))) (let ((_let_22 (= _let_5 (tptp.ifeq _let_21 _let_21 _let_5 tptp.true)))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (tptp.addition _let_4 _let_20))) (let ((_let_25 (= _let_21 (tptp.ifeq3 _let_24 _let_24 _let_21 tptp.true)))) (let ((_let_26 (tptp.multiplication _let_2 _let_3))) (let ((_let_27 (tptp.addition _let_26 tptp.one))) (let ((_let_28 (= (tptp.multiplication tptp.sK2_goals_X0 (tptp.addition _let_27 _let_3)) (tptp.addition (tptp.multiplication tptp.sK2_goals_X0 _let_27) _let_4)))) (let ((_let_29 (tptp.multiplication tptp.sK2_goals_X0 tptp.one))) (let ((_let_30 (tptp.addition tptp.one _let_26))) (let ((_let_31 (= (tptp.multiplication tptp.sK2_goals_X0 _let_30) (tptp.addition _let_29 (tptp.multiplication tptp.sK2_goals_X0 _let_26))))) (let ((_let_32 (= _let_27 (tptp.addition _let_27 _let_27)))) (let ((_let_33 (= tptp.sK2_goals_X0 _let_29))) (let ((_let_34 (= tptp.true (tptp.ifeq3 _let_24 _let_20 _let_21 tptp.true)))) (let ((_let_35 (tptp.multiplication _let_3 tptp.zero))) (let ((_let_36 (tptp.star _let_2))) (let ((_let_37 (tptp.addition _let_36 _let_35))) (let ((_let_38 (= (tptp.multiplication tptp.sK2_goals_X0 _let_37) (tptp.addition (tptp.multiplication tptp.sK2_goals_X0 _let_36) (tptp.multiplication tptp.sK2_goals_X0 _let_35))))) (let ((_let_39 (tptp.multiplication tptp.sK1_goals_X1 _let_4))) (let ((_let_40 (= _let_19 (tptp.multiplication tptp.sK2_goals_X0 _let_39)))) (let ((_let_41 (= _let_26 _let_39))) (let ((_let_42 (= _let_20 (tptp.addition tptp.sK2_goals_X0 _let_19)))) (let ((_let_43 (= _let_27 _let_30))) (let ((_let_44 (= _let_3 _let_37))) (let ((_let_45 (= tptp.true (tptp.ifeq _let_21 tptp.true _let_5 tptp.true)))) (let ((_let_46 (= _let_3 _let_27))) (let ((_let_47 (= tptp.true _let_5))) (let ((_let_48 (not _let_22))) (let ((_let_49 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq3 A A B C))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (_let_11))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (forall ((A $$unsorted) (B $$unsorted)) (= tptp.true (tptp.ifeq3 (tptp.addition A B) B (tptp.leq A B) tptp.true))))) (let ((_let_58 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_59 (_let_13))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 ((tptp.multiplication (tptp.multiplication A B) C)))) (let ((_let_62 (_let_15))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 ((tptp.addition A B)))) (let ((_let_65 (_let_8))) (let ((_let_66 (ASSUME :args _let_65))) (let ((_let_67 (forall ((C $$unsorted) (A $$unsorted) (B $$unsorted)) (= tptp.true (tptp.ifeq (tptp.leq C (tptp.addition (tptp.multiplication A C) B)) tptp.true (tptp.leq C (tptp.multiplication (tptp.strong_iteration A) B)) tptp.true))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_69 (_let_10))) (let ((_let_70 (ASSUME :args _let_69))) (let ((_let_71 (SYMM (ASSUME :args (_let_6))))) (let ((_let_72 (not _let_47))) (let ((_let_73 (and _let_72 _let_46 _let_45 _let_44 _let_43 _let_42 _let_41 _let_40 _let_38 _let_34 _let_33 _let_32 _let_31 _let_28 _let_25))) (let ((_let_74 (REFL :args (_let_5)))) (let ((_let_75 (ASSUME :args (_let_45)))) (let ((_let_76 (REFL :args (tptp.true)))) (let ((_let_77 (ASSUME :args (_let_34)))) (let ((_let_78 (REFL :args (_let_21)))) (let ((_let_79 (APPLY_UF tptp.addition))) (let ((_let_80 (APPLY_UF tptp.multiplication))) (let ((_let_81 (ASSUME :args (_let_44)))) (let ((_let_82 (REFL :args (tptp.sK2_goals_X0)))) (let ((_let_83 (ASSUME :args (_let_38)))) (let ((_let_84 (TRANS (SYMM _let_83) (CONG _let_82 (SYMM _let_81) :args _let_80)))) (let ((_let_85 (ASSUME :args (_let_42)))) (let ((_let_86 (ASSUME :args (_let_40)))) (let ((_let_87 (ASSUME :args (_let_41)))) (let ((_let_88 (ASSUME :args (_let_33)))) (let ((_let_89 (ASSUME :args (_let_31)))) (let ((_let_90 (ASSUME :args (_let_43)))) (let ((_let_91 (ASSUME :args (_let_46)))) (let ((_let_92 (SYMM _let_91))) (let ((_let_93 (SYMM _let_92))) (let ((_let_94 (TRANS (CONG _let_82 (TRANS _let_93 (SYMM (SYMM _let_90))) :args _let_80) (SYMM (SYMM _let_89)) (CONG (SYMM _let_88) (TRANS (CONG _let_82 (SYMM (SYMM _let_87)) :args _let_80) (SYMM _let_86)) :args _let_79) (SYMM _let_85)))) (let ((_let_95 (ASSUME :args (_let_28)))) (let ((_let_96 (ASSUME :args (_let_32)))) (let ((_let_97 (ASSUME :args (_let_25)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_21 _let_5 tptp.true QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_18))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_73)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_71 _let_97 _let_81 _let_86 _let_95 _let_75 _let_85 _let_91 _let_90 _let_88 _let_87 _let_89 _let_83 _let_77 _let_96) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG _let_78 (TRANS _let_97 (SYMM (CONG (REFL :args (_let_24)) (TRANS (SYMM _let_94) (TRANS (CONG _let_82 (TRANS _let_93 (SYMM (SYMM _let_96)) (CONG (REFL :args (_let_27)) _let_92 :args _let_79)) :args _let_80) (SYMM (SYMM _let_95)) (CONG (TRANS (CONG _let_82 _let_92 :args _let_80) (SYMM _let_84)) _let_94 :args _let_79) (CONG _let_84 (REFL :args (_let_20)) :args _let_79))) _let_78 _let_76 :args (APPLY_UF tptp.ifeq3))) (SYMM _let_77)) _let_74 _let_76 :args (APPLY_UF tptp.ifeq)) (SYMM _let_75)) _let_74 :args (=)) (FALSE_INTRO _let_71)) :args ((= _let_22 false)))) :args (_let_72 _let_25 _let_44 _let_40 _let_28 _let_45 _let_42 _let_46 _let_43 _let_33 _let_41 _let_31 _let_38 _let_34 _let_32))) :args (_let_72 _let_46 _let_45 _let_44 _let_43 _let_42 _let_41 _let_40 _let_38 _let_34 _let_33 _let_32 _let_31 _let_28 _let_25))) :args (true _let_73)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_72) _let_47))) (REFL :args ((not _let_46))) (REFL :args ((not _let_45))) (REFL :args ((not _let_44))) (REFL :args ((not _let_43))) (REFL :args ((not _let_42))) (REFL :args ((not _let_41))) (REFL :args ((not _let_40))) (REFL :args ((not _let_38))) (REFL :args ((not _let_34))) (REFL :args ((not _let_33))) (REFL :args ((not _let_32))) (REFL :args ((not _let_31))) (REFL :args ((not _let_28))) (REFL :args ((not _let_25))) (REFL :args (_let_48)) :args (or))) _let_71 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.strong_iteration A)))) :args _let_69)) _let_70 :args (_let_46 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_4 _let_1 tptp.sK2_goals_X0 QUANTIFIERS_INST_E_MATCHING ((tptp.leq C (tptp.multiplication (tptp.strong_iteration A) B))))) :args (_let_67))) _let_68 :args (_let_45 false _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.strong_iteration A)))) :args _let_65)) _let_66 :args (_let_44 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_26 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_64)) :args _let_62)) _let_63 :args (_let_43 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_19 tptp.sK2_goals_X0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_64)) :args _let_62)) _let_63 :args (_let_42 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.sK1_goals_X1 tptp.sK2_goals_X0 _let_3 QUANTIFIERS_INST_E_MATCHING _let_61)) :args _let_59))) _let_60 :args (_let_41 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.sK2_goals_X0 tptp.sK1_goals_X1 _let_4 QUANTIFIERS_INST_E_MATCHING _let_61)) :args _let_59))) _let_60 :args (_let_40 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.sK2_goals_X0 _let_36 _let_35 QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication A (tptp.addition B C))))) :args _let_51)) _let_52 :args (_let_38 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (_let_4 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.leq A B)))) :args (_let_57))) _let_58 :args (_let_34 false _let_57)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.sK2_goals_X0 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_55))) _let_56 :args (_let_33 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_27 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_53))) _let_54 :args (_let_32 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.sK2_goals_X0 tptp.one _let_26 QUANTIFIERS_INST_CBQI_PROP)) :args _let_51)) _let_52 :args (_let_31 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.sK2_goals_X0 _let_27 _let_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_51)) _let_52 :args (_let_28 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_24 _let_21 tptp.true QUANTIFIERS_INST_CBQI_PROP)) :args (_let_49))) _let_50 :args (_let_25 false _let_49)) :args (_let_48 true _let_47 false _let_46 false _let_45 false _let_44 false _let_43 false _let_42 false _let_41 false _let_40 false _let_38 false _let_34 false _let_33 false _let_32 false _let_31 false _let_28 false _let_25)) _let_23 :args (false true _let_22 false _let_18)) :args (_let_17 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq2 A A B C) B)) _let_16 _let_15 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)) _let_14 _let_13 _let_12 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)) _let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))) (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= (tptp.addition tptp.one (tptp.multiplication A _let_1)) _let_1))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= (tptp.addition tptp.one (tptp.multiplication _let_1 A)) _let_1))) (forall ((A $$unsorted) (C $$unsorted) (B $$unsorted)) (= (tptp.ifeq (tptp.leq (tptp.addition (tptp.multiplication A C) B) C) tptp.true (tptp.leq (tptp.multiplication (tptp.star A) B) C) tptp.true) tptp.true)) (forall ((C $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.ifeq (tptp.leq (tptp.addition (tptp.multiplication C A) B) C) tptp.true (tptp.leq (tptp.multiplication B (tptp.star A)) C) tptp.true) tptp.true)) _let_10 _let_9 _let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ifeq2 (tptp.leq A B) tptp.true (tptp.addition A B) B) B)) _let_7 _let_6))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 25.85/26.07  )
% 25.85/26.07  % SZS output end Proof for KLE151-10
% 25.85/26.07  % cvc5---1.0.5 exiting
% 25.85/26.07  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------