%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE066+1 : TPTP v8.1.2. Released v4.0.0.
% 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 05:27:09 EDT 2023

% Result   : Theorem 0.20s 0.56s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : KLE066+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14  % 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   : Tue Aug 29 12:26:02 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.56  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.lbBPWcPoHV/cvc5---1.0.5_15676.p...
% 0.20/0.56  ------- get file name : TPTP file name is KLE066+1
% 0.20/0.56  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_15676.smt2...
% 0.20/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.56  % SZS status Theorem for KLE066+1
% 0.20/0.56  % SZS output start Proof for KLE066+1
% 0.20/0.56  (
% 0.20/0.56  (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (= (tptp.multiplication X0 (tptp.domain X1)) tptp.zero) (= (tptp.multiplication X0 X1) tptp.zero)))))) (let ((_let_2 (tptp.domain tptp.zero))) (let ((_let_3 (= _let_2 tptp.zero))) (let ((_let_4 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.domain (tptp.multiplication X0 X1)) (tptp.domain (tptp.multiplication X0 (tptp.domain X1))))))) (let ((_let_5 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.domain X0) X0))) (= (tptp.addition X0 _let_1) _let_1))))) (let ((_let_6 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_7 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_8 (= tptp.zero _let_2))) (let ((_let_9 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_10 (= tptp.zero _let_9))) (let ((_let_11 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_12 (= tptp.zero _let_11))) (let ((_let_13 (tptp.domain _let_11))) (let ((_let_14 (= _let_13 (tptp.domain _let_9)))) (let ((_let_15 (tptp.multiplication _let_13 _let_11))) (let ((_let_16 (= _let_15 (tptp.addition _let_11 _let_15)))) (let ((_let_17 (= tptp.zero (tptp.multiplication tptp.zero _let_11)))) (let ((_let_18 (= _let_11 (tptp.addition _let_11 tptp.zero)))) (let ((_let_19 (SYMM (ASSUME :args (_let_3))))) (let ((_let_20 (not _let_10))) (let ((_let_21 (or _let_20 _let_12))) (let ((_let_22 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (= tptp.zero (tptp.multiplication X0 (tptp.domain X1)))) (= tptp.zero (tptp.multiplication X0 X1)))))) (let ((_let_23 (not _let_21))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (or))) (let ((_let_26 (not _let_22))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_24) :args (_let_26))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_22))) (REFL :args (_let_23)) :args _let_25)) _let_24 :args (_let_23 true _let_22)))) (let ((_let_28 (not _let_12))) (let ((_let_29 (_let_4))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.domain X0) X0))) (= _let_1 (tptp.addition X0 _let_1)))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (not _let_18))) (let ((_let_38 (_let_37))) (let ((_let_39 (ASSUME :args (_let_18)))) (let ((_let_40 (ASSUME :args (_let_28)))) (let ((_let_41 (REFL :args (_let_11)))) (let ((_let_42 (ASSUME :args (_let_17)))) (let ((_let_43 (ASSUME :args (_let_10)))) (let ((_let_44 (ASSUME :args (_let_14)))) (let ((_let_45 (CONG (TRANS (TRANS (SYMM (SYMM _let_44)) (CONG (SYMM _let_43) :args (APPLY_UF tptp.domain))) (SYMM _let_19)) _let_41 :args (APPLY_UF tptp.multiplication)))) (let ((_let_46 (ASSUME :args (_let_16)))) (let ((_let_47 (SYMM _let_46))) (let ((_let_48 (APPLY_UF tptp.addition))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_39 (MODUS_PONENS (AND_INTRO _let_42 _let_19 _let_43 _let_44 _let_46 _let_40) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG _let_41 (TRANS _let_42 (SYMM _let_45) _let_46) :args _let_48) (CONG _let_41 _let_47 :args _let_48) _let_47 _let_45 (SYMM _let_42)) _let_41 :args (=)) (FALSE_INTRO _let_40)) :args ((= _let_18 false)))) :args (_let_17 _let_8 _let_10 _let_14 _let_16 _let_28)))) :args (_let_8 _let_10 _let_28 _let_14 _let_16 _let_17 _let_18)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_38))) (TRUE_INTRO (SYMM (SYMM _let_39))))) :args (_let_18 _let_37)) :args ((not (and _let_8 _let_10 _let_28 _let_14 _let_16 _let_17 _let_18)) SB_LITERAL))) (CONG (REFL :args ((not _let_8))) (REFL :args (_let_20)) (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_12))) (REFL :args ((not _let_14))) (REFL :args ((not _let_16))) (REFL :args ((not _let_17))) (REFL :args _let_38) :args _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A tptp.zero)))) :args (_let_35))) _let_36 :args (_let_18 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.multiplication tptp.zero A) tptp.zero))))) :args (_let_33))) _let_34 :args (_let_17 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.domain X0)))) :args (_let_31))) _let_32 :args (_let_16 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication X0 (tptp.domain X1))))) :args _let_29)) _let_30 :args (_let_14 false _let_4)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_21 1)) _let_27 :args (_let_28 true _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 0)) (CONG (REFL :args (_let_21)) (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_10))) :args _let_25)) :args ((or _let_10 _let_21))) _let_27 :args (_let_10 true _let_21)) _let_19 :args (false false _let_18 false _let_17 false _let_16 false _let_14 true _let_12 false _let_10 false _let_8)) :args ((forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))) (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) _let_7 (forall ((A $$unsorted)) (= (tptp.addition A A) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)) (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)))) (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 A tptp.zero) tptp.zero)) _let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) _let_5 _let_4 (forall ((X0 $$unsorted)) (= (tptp.addition (tptp.domain X0) tptp.one) tptp.one)) _let_3 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.domain (tptp.addition X0 X1)) (tptp.addition (tptp.domain X0) (tptp.domain X1)))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.57  )
% 0.20/0.57  % SZS output end Proof for KLE066+1
% 0.20/0.57  % cvc5---1.0.5 exiting
% 0.20/0.57  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------