TSTP Solution File: KLE146+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE146+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.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 05:27:26 EDT 2023
% Result : Theorem 0.45s 0.64s
% Output : Proof 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE146+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n007.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 12:26:13 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.45/0.64 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.htONj8i8i1/cvc5---1.0.5_8471.p...
% 0.45/0.64 ------- get file name : TPTP file name is KLE146+1
% 0.45/0.64 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_8471.smt2...
% 0.45/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.45/0.64 % SZS status Theorem for KLE146+1
% 0.45/0.64 % SZS output start Proof for KLE146+1
% 0.45/0.64 (
% 0.45/0.64 (let ((_let_1 (forall ((X0 $$unsorted)) (tptp.leq tptp.one (tptp.strong_iteration X0))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (let ((_let_4 (forall ((A $$unsorted)) (let ((_let_1 (tptp.strong_iteration A))) (= _let_1 (tptp.addition (tptp.star A) (tptp.multiplication _let_1 tptp.zero))))))) (let ((_let_5 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= (tptp.addition tptp.one (tptp.multiplication _let_1 A)) _let_1))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_7 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_9 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_11 (tptp.strong_iteration SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_12 (tptp.multiplication _let_11 tptp.zero))) (let ((_let_13 (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_14 (tptp.addition _let_13 _let_12))) (let ((_let_15 (= _let_11 _let_14))) (let ((_let_16 (tptp.addition tptp.one _let_11))) (let ((_let_17 (= _let_11 _let_16))) (let ((_let_18 (= _let_16 (tptp.addition _let_11 tptp.one)))) (let ((_let_19 (tptp.addition _let_12 _let_13))) (let ((_let_20 (= _let_14 _let_19))) (let ((_let_21 (tptp.multiplication _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_22 (tptp.addition tptp.one _let_21))) (let ((_let_23 (= _let_13 _let_22))) (let ((_let_24 (= (tptp.addition tptp.one _let_13) (tptp.addition _let_13 tptp.one)))) (let ((_let_25 (= _let_22 (tptp.addition _let_21 tptp.one)))) (let ((_let_26 (tptp.addition tptp.one tptp.one))) (let ((_let_27 (tptp.addition _let_26 _let_21))) (let ((_let_28 (= (tptp.addition tptp.one _let_22) _let_27))) (let ((_let_29 (= _let_11 (tptp.multiplication _let_11 tptp.one)))) (let ((_let_30 (tptp.multiplication _let_13 tptp.one))) (let ((_let_31 (= _let_13 _let_30))) (let ((_let_32 (tptp.multiplication _let_12 tptp.one))) (let ((_let_33 (tptp.addition _let_32 _let_30))) (let ((_let_34 (= (tptp.multiplication _let_19 tptp.one) _let_33))) (let ((_let_35 (= _let_27 (tptp.addition _let_21 _let_26)))) (let ((_let_36 (= (tptp.addition _let_32 (tptp.addition _let_30 tptp.one)) (tptp.addition _let_33 tptp.one)))) (let ((_let_37 (= tptp.one _let_26))) (let ((_let_38 (_let_4))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 (tptp.leq tptp.one _let_11))) (let ((_let_41 (= _let_40 _let_17))) (let ((_let_42 (not _let_17))) (let ((_let_43 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (not _let_40))) (let ((_let_46 (_let_2))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (_let_10))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 ((tptp.addition A B)))) (let ((_let_51 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= _let_1 (tptp.addition tptp.one (tptp.multiplication _let_1 A))))))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (_let_9))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (_let_55))) (let ((_let_58 ((tptp.multiplication A tptp.one)))) (let ((_let_59 (_let_6))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (and _let_15 _let_18 _let_20 _let_23 _let_24 _let_25 _let_28 _let_29 _let_31 _let_34 _let_35 _let_36 _let_37))) (let ((_let_64 (ASSUME :args (_let_18)))) (let ((_let_65 (APPLY_UF tptp.addition))) (let ((_let_66 (REFL :args (tptp.one)))) (let ((_let_67 (ASSUME :args (_let_29)))) (let ((_let_68 (ASSUME :args (_let_15)))) (let ((_let_69 (ASSUME :args (_let_20)))) (let ((_let_70 (CONG (TRANS (SYMM _let_69) (SYMM _let_68)) _let_66 :args (APPLY_UF tptp.multiplication)))) (let ((_let_71 (ASSUME :args (_let_34)))) (let ((_let_72 (ASSUME :args (_let_36)))) (let ((_let_73 (ASSUME :args (_let_31)))) (let ((_let_74 (SYMM _let_73))) (let ((_let_75 (ASSUME :args (_let_24)))) (let ((_let_76 (ASSUME :args (_let_23)))) (let ((_let_77 (ASSUME :args (_let_28)))) (let ((_let_78 (ASSUME :args (_let_35)))) (let ((_let_79 (ASSUME :args (_let_37)))) (let ((_let_80 (ASSUME :args (_let_25)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_63)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_64 _let_67 _let_68 _let_69 _let_71 _let_72 _let_73 _let_75 _let_76 _let_77 _let_78 _let_79 _let_80) (SCOPE (TRANS _let_67 (SYMM _let_70) _let_71 (CONG (REFL :args (_let_32)) (TRANS _let_74 _let_76 (SYMM (SYMM _let_80)) (CONG (REFL :args (_let_21)) (SYMM (SYMM _let_79)) :args _let_65) (SYMM _let_78) (SYMM _let_77) (CONG _let_66 (SYMM _let_76) :args _let_65) (SYMM (SYMM _let_75)) (CONG (SYMM _let_74) _let_66 :args _let_65)) :args _let_65) (SYMM (SYMM _let_72)) (CONG (TRANS (SYMM _let_71) _let_70 (SYMM _let_67)) _let_66 :args _let_65) (SYMM _let_64)) :args (_let_18 _let_29 _let_15 _let_20 _let_34 _let_36 _let_31 _let_24 _let_23 _let_28 _let_35 _let_37 _let_25))) :args (_let_15 _let_18 _let_20 _let_23 _let_24 _let_25 _let_28 _let_29 _let_31 _let_34 _let_35 _let_36 _let_37))) :args (true _let_63)) :args ((or _let_17 (not _let_15) (not _let_18) (not _let_20) (not _let_23) (not _let_24) (not _let_25) (not _let_28) (not _let_29) (not _let_31) (not _let_34) (not _let_35) (not _let_36) (not _let_37)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A A)))) :args (_let_61))) _let_62 :args (_let_37 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.one _let_30 _let_32 QUANTIFIERS_INST_E_MATCHING ((tptp.addition (tptp.addition A B) C)))) :args _let_53)) _let_54 :args (_let_36 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_26 _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_50)) :args _let_48)) _let_49 :args (_let_35 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_12 _let_13 tptp.one QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication (tptp.addition A B) C)))) :args _let_59)) _let_60 :args (_let_34 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_57)) _let_56 :args (_let_31 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_57)) _let_56 :args (_let_29 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_21 tptp.one tptp.one QUANTIFIERS_INST_E_MATCHING ((tptp.addition A (tptp.addition B C))))) :args _let_53)) _let_54 :args (_let_28 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.one _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_50)) :args _let_48)) _let_49 :args (_let_25 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.one _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_50)) :args _let_48)) _let_49 :args (_let_24 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.star A)))) :args (_let_51))) _let_52 :args (_let_23 false _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_13 _let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_50)) :args _let_48)) _let_49 :args (_let_20 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.one _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_50)) :args _let_48)) _let_49 :args (_let_18 false _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_41)) :args ((or _let_40 _let_42 (not _let_41)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_47) :args _let_46)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_45)) :args (or))) _let_47 :args (_let_45 true _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.one _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.leq A B)))) :args (_let_43))) _let_44 :args (_let_41 false _let_43)) :args (_let_42 true _let_40 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.strong_iteration A)))) :args _let_38)) _let_39 :args (_let_15 false _let_4)) :args (false false _let_37 false _let_36 false _let_35 false _let_34 false _let_31 false _let_29 false _let_28 false _let_25 false _let_24 false _let_23 false _let_20 false _let_18 true _let_17 false _let_15)) :args (_let_10 _let_9 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)) _let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) _let_7 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))) _let_6 (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))) _let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication A C) B) C) (tptp.leq (tptp.multiplication (tptp.star A) B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication C A) B) C) (tptp.leq (tptp.multiplication B (tptp.star A)) C))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.strong_iteration A))) (= _let_1 (tptp.addition (tptp.multiplication A _let_1) tptp.one)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq C (tptp.addition (tptp.multiplication A C) B)) (tptp.leq C (tptp.multiplication (tptp.strong_iteration A) B)))) _let_4 _let_3 _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.45/0.64 )
% 0.45/0.64 % SZS output end Proof for KLE146+1
% 0.45/0.64 % cvc5---1.0.5 exiting
% 0.45/0.64 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------