%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE070+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n004.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 05:27:10 EDT 2023

% Result   : Theorem 10.67s 11.00s
% Output   : Proof 10.67s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem    : KLE070+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n004.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Aug 29 11:43:37 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 10.67/11.00  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.t3KA9uaYp6/cvc5---1.0.5_12508.p...
% 10.67/11.00  ------- get file name : TPTP file name is KLE070+1
% 10.67/11.00  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_12508.smt2...
% 10.67/11.00  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.67/11.00  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.67/11.00  % SZS status Theorem for KLE070+1
% 10.67/11.00  % SZS output start Proof for KLE070+1
% 10.67/11.00  (
% 10.67/11.00  (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.domain X0))) (= (tptp.addition _let_1 (tptp.multiplication _let_1 (tptp.domain X1))) _let_1)))))) (let ((_let_2 (forall ((X0 $$unsorted)) (= (tptp.addition (tptp.domain X0) tptp.one) tptp.one)))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_4 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_6 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_7 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_8 (tptp.multiplication _let_7 _let_6))) (let ((_let_9 (= _let_7 (tptp.addition _let_7 _let_8)))) (let ((_let_10 (tptp.addition _let_6 tptp.one))) (let ((_let_11 (= tptp.one _let_10))) (let ((_let_12 (tptp.multiplication _let_7 tptp.one))) (let ((_let_13 (= _let_7 _let_12))) (let ((_let_14 (tptp.addition tptp.one _let_6))) (let ((_let_15 (= _let_10 _let_14))) (let ((_let_16 (= (tptp.multiplication _let_7 _let_14) (tptp.addition _let_12 _let_8)))) (let ((_let_17 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.domain X0))) (= _let_1 (tptp.addition _let_1 (tptp.multiplication _let_1 (tptp.domain X1)))))))) (let ((_let_18 (not _let_9))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (or))) (let ((_let_21 (_let_18))) (let ((_let_22 (not _let_17))) (let ((_let_23 (forall ((X0 $$unsorted)) (= tptp.one (tptp.addition (tptp.domain X0) tptp.one))))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (_let_5))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 (_let_3))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 (not _let_16))) (let ((_let_32 (_let_31))) (let ((_let_33 (ASSUME :args (_let_16)))) (let ((_let_34 (ASSUME :args _let_21))) (let ((_let_35 (ASSUME :args (_let_13)))) (let ((_let_36 (SYMM _let_35))) (let ((_let_37 (ASSUME :args (_let_11)))) (let ((_let_38 (ASSUME :args (_let_15)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_33 (MODUS_PONENS (AND_INTRO _let_35 _let_37 _let_38 _let_34) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG (REFL :args (_let_7)) (TRANS (SYMM _let_38) (SYMM _let_37)) :args (APPLY_UF tptp.multiplication)) _let_36) (CONG _let_36 (REFL :args (_let_8)) :args (APPLY_UF tptp.addition)) :args (=)) (FALSE_INTRO _let_34))) :args (_let_13 _let_11 _let_15 _let_18)))) :args (_let_18 _let_11 _let_13 _let_15 _let_16)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_32))) (TRUE_INTRO (SYMM (SYMM _let_33))))) :args (_let_16 _let_31)) :args ((not (and _let_18 _let_11 _let_13 _let_15 _let_16)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_9))) (REFL :args ((not _let_11))) (REFL :args ((not _let_13))) (REFL :args ((not _let_15))) (REFL :args _let_32) :args _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_7 tptp.one _let_6 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_29)) _let_30 :args (_let_16 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_6 tptp.one QUANTIFIERS_INST_ENUM)) :args _let_27)) _let_28 :args (_let_15 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (_let_7 QUANTIFIERS_INST_ENUM)) :args (_let_25))) _let_26 :args (_let_13 false _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args (_let_23))) _let_24 :args (_let_11 false _let_23)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_19) :args (_let_22))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_17))) (REFL :args _let_21) :args _let_20)) _let_19 :args (_let_18 true _let_17)) :args (false false _let_16 false _let_15 false _let_13 false _let_11 true _let_9)) :args (_let_5 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)) (forall ((A $$unsorted)) (= (tptp.addition A A) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) _let_4 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)) _let_3 (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)) (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.domain X0) X0))) (= (tptp.addition X0 _let_1) _let_1))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.domain (tptp.multiplication X0 X1)) (tptp.domain (tptp.multiplication X0 (tptp.domain X1))))) _let_2 (= (tptp.domain tptp.zero) tptp.zero) (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.domain (tptp.addition X0 X1)) (tptp.addition (tptp.domain X0) (tptp.domain X1)))) _let_1 true)))))))))))))))))))))))))))))))))))))))))
% 10.67/11.00  )
% 10.67/11.00  % SZS output end Proof for KLE070+1
% 10.67/11.00  % cvc5---1.0.5 exiting
% 10.67/11.00  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------