TSTP Solution File: KLE148+1 by cvc5---1.0.5

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE148+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n031.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 05:27:27 EDT 2023

% Result   : Theorem 20.61s 20.92s
% Output   : Proof 20.61s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : KLE148+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n031.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 29 13:01:26 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 20.61/20.92  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.cv5ZWi4uGP/cvc5---1.0.5_19641.p...
% 20.61/20.92  ------- get file name : TPTP file name is KLE148+1
% 20.61/20.92  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_19641.smt2...
% 20.61/20.92  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 20.61/20.92  --- Run --no-e-matching --full-saturate-quant at 5...
% 20.61/20.92  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.61/20.92  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 20.61/20.92  % SZS status Theorem for KLE148+1
% 20.61/20.92  % SZS output start Proof for KLE148+1
% 20.61/20.92  (
% 20.61/20.92  (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (= (tptp.multiplication X0 X1) tptp.zero) (= (tptp.multiplication X0 (tptp.strong_iteration X1)) X0)))))) (let ((_let_2 (forall ((A $$unsorted)) (let ((_let_1 (tptp.strong_iteration A))) (= _let_1 (tptp.addition (tptp.multiplication A _let_1) tptp.one)))))) (let ((_let_3 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_6 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_7 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_11 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_12 (= tptp.zero _let_11))) (let ((_let_13 (tptp.strong_iteration SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_14 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13)))) (let ((_let_15 (= tptp.zero (tptp.multiplication tptp.zero _let_13)))) (let ((_let_16 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one))) (let ((_let_17 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16))) (let ((_let_18 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_19 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18))) (let ((_let_20 (tptp.addition tptp.one tptp.zero))) (let ((_let_21 (= tptp.one _let_20))) (let ((_let_22 (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (= tptp.zero _let_22))) (let ((_let_24 (tptp.addition tptp.zero tptp.one))) (let ((_let_25 (= _let_20 _let_24))) (let ((_let_26 (= (tptp.multiplication _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition _let_22 _let_18)))) (let ((_let_27 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13))) (let ((_let_28 (tptp.addition _let_27 tptp.one))) (let ((_let_29 (= _let_13 _let_28))) (let ((_let_30 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_27))) (let ((_let_31 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_28) (tptp.addition _let_30 _let_16)))) (let ((_let_32 (= _let_30 (tptp.multiplication _let_11 _let_13)))) (let ((_let_33 (not _let_12))) (let ((_let_34 (or _let_33 _let_14))) (let ((_let_35 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (= tptp.zero (tptp.multiplication X0 X1))) (= X0 (tptp.multiplication X0 (tptp.strong_iteration X1))))))) (let ((_let_36 (not _let_34))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (or))) (let ((_let_39 (not _let_35))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_37) :args (_let_39))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_35))) (REFL :args (_let_36)) :args _let_38)) _let_37 :args (_let_36 true _let_35)))) (let ((_let_41 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (_let_41))) (let ((_let_44 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_47 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (_let_10))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 (_let_4))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 (_let_2))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (_let_5))) (let ((_let_58 (ASSUME :args _let_57))) (let ((_let_59 (_let_8))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 (and _let_12 _let_15 _let_17 _let_19 _let_21 _let_23 _let_25 _let_26 _let_29 _let_31 _let_32))) (let ((_let_62 (APPLY_UF tptp.multiplication))) (let ((_let_63 (ASSUME :args (_let_29)))) (let ((_let_64 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_65 (ASSUME :args (_let_31)))) (let ((_let_66 (ASSUME :args (_let_17)))) (let ((_let_67 (ASSUME :args (_let_19)))) (let ((_let_68 (ASSUME :args (_let_32)))) (let ((_let_69 (ASSUME :args (_let_12)))) (let ((_let_70 (ASSUME :args (_let_15)))) (let ((_let_71 (ASSUME :args (_let_23)))) (let ((_let_72 (ASSUME :args (_let_26)))) (let ((_let_73 (ASSUME :args (_let_25)))) (let ((_let_74 (ASSUME :args (_let_21)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_61)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_63 _let_65 _let_68 _let_69 _let_70 _let_71 _let_66 _let_67 _let_72 _let_73 _let_74) (SCOPE (TRANS _let_67 (CONG (SYMM (SYMM _let_74)) _let_64 :args _let_62) (CONG (SYMM (SYMM _let_73)) _let_64 :args _let_62) (SYMM (SYMM _let_72)) (CONG (TRANS (SYMM _let_71) (TRANS (SYMM (SYMM _let_70)) (CONG (SYMM (SYMM _let_69)) (REFL :args (_let_13)) :args _let_62) (SYMM _let_68))) (TRANS (SYMM _let_67) (SYMM (SYMM _let_66))) :args (APPLY_UF tptp.addition)) (SYMM _let_65) (CONG _let_64 (SYMM _let_63) :args _let_62)) :args (_let_29 _let_31 _let_32 _let_12 _let_15 _let_23 _let_17 _let_19 _let_26 _let_25 _let_21))) :args (_let_12 _let_15 _let_17 _let_19 _let_21 _let_23 _let_25 _let_26 _let_29 _let_31 _let_32))) :args (true _let_61)) :args ((or _let_33 _let_14 (not _let_15) (not _let_17) (not _let_19) (not _let_21) (not _let_23) (not _let_25) (not _let_26) (not _let_29) (not _let_31) (not _let_32)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13 QUANTIFIERS_INST_CBQI_PROP)) :args _let_59)) _let_60 :args (_let_32 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_27 tptp.one QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_57)) _let_58 :args (_let_31 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_55)) _let_56 :args (_let_29 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.zero tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_53)) _let_54 :args (_let_26 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.one tptp.zero QUANTIFIERS_INST_CBQI_PROP)) :args _let_51)) _let_52 :args (_let_25 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_43)) _let_42 :args (_let_23 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args (_let_49))) _let_50 :args (_let_21 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args _let_46) :args (_let_47))) _let_48 :args (_let_19 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args _let_46) :args (_let_44))) _let_45 :args (_let_17 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_13 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_43)) _let_42 :args (_let_15 false _let_41)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_34 1)) _let_40 :args ((not _let_14) true _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 0)) (CONG (REFL :args (_let_34)) (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_12))) :args _let_38)) :args ((or _let_12 _let_34))) _let_40 :args (_let_12 true _let_34)) :args (false false _let_32 false _let_31 false _let_29 false _let_26 false _let_25 false _let_23 false _let_21 false _let_19 false _let_17 false _let_15 true _let_14 false _let_12)) :args (_let_10 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) _let_9 (forall ((A $$unsorted)) (= (tptp.addition A A) A)) _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 (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 $$unsorted) (B $$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))) _let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq C (tptp.addition (tptp.multiplication A C) B)) (tptp.leq C (tptp.multiplication (tptp.strong_iteration A) B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.strong_iteration A))) (= _let_1 (tptp.addition (tptp.star A) (tptp.multiplication _let_1 tptp.zero))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 20.61/20.93  )
% 20.61/20.93  % SZS output end Proof for KLE148+1
% 20.61/20.93  % cvc5---1.0.5 exiting
% 20.61/20.93  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------