%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE089+1 : TPTP v8.1.2. Released v4.0.0.
% 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 05:27:14 EDT 2023

% Result   : Theorem 0.20s 0.55s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : KLE089+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n018.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 11:36:18 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.20/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.55  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.2iJ5tPsAOi/cvc5---1.0.5_29786.p...
% 0.20/0.55  ------- get file name : TPTP file name is KLE089+1
% 0.20/0.55  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_29786.smt2...
% 0.20/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.55  % SZS status Theorem for KLE089+1
% 0.20/0.55  % SZS output start Proof for KLE089+1
% 0.20/0.55  (
% 0.20/0.55  (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.domain X0))) (let ((_let_2 (tptp.antidomain X1))) (=> (= (tptp.addition _let_1 _let_2) _let_2) (= (tptp.multiplication _let_1 X1) tptp.zero)))))))) (let ((_let_2 (forall ((X0 $$unsorted)) (= (tptp.multiplication (tptp.antidomain X0) X0) tptp.zero)))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_4 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_5 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_6 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_7 (tptp.antidomain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_8 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (tptp.addition _let_8 _let_7))) (let ((_let_10 (= _let_7 _let_9))) (let ((_let_11 (= tptp.zero (tptp.multiplication _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_12 (tptp.addition _let_8 _let_8))) (let ((_let_13 (tptp.addition _let_12 _let_7))) (let ((_let_14 (= (tptp.addition _let_8 _let_9) _let_13))) (let ((_let_15 (tptp.multiplication _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_16 (= tptp.zero _let_15))) (let ((_let_17 (= _let_8 _let_12))) (let ((_let_18 (tptp.multiplication _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_19 (= (tptp.multiplication _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition _let_18 _let_15)))) (let ((_let_20 (= _let_18 (tptp.addition _let_18 tptp.zero)))) (let ((_let_21 (not _let_10))) (let ((_let_22 (or _let_21 _let_11))) (let ((_let_23 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.domain X0))) (let ((_let_2 (tptp.antidomain X1))) (or (not (= _let_2 (tptp.addition _let_1 _let_2))) (= tptp.zero (tptp.multiplication _let_1 X1)))))))) (let ((_let_24 (not _let_22))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (or))) (let ((_let_27 (not _let_23))) (let ((_let_28 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_25) :args (_let_27))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_23))) (REFL :args (_let_24)) :args _let_26)) _let_25 :args (_let_24 true _let_23)))) (let ((_let_29 (not _let_11))) (let ((_let_30 (_let_6))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 (forall ((X0 $$unsorted)) (= tptp.zero (tptp.multiplication (tptp.antidomain X0) X0))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (_let_3))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (not _let_20))) (let ((_let_41 (_let_40))) (let ((_let_42 (ASSUME :args (_let_20)))) (let ((_let_43 (ASSUME :args (_let_29)))) (let ((_let_44 (APPLY_UF tptp.multiplication))) (let ((_let_45 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_46 (ASSUME :args (_let_17)))) (let ((_let_47 (ASSUME :args (_let_16)))) (let ((_let_48 (ASSUME :args (_let_10)))) (let ((_let_49 (SYMM _let_48))) (let ((_let_50 (APPLY_UF tptp.addition))) (let ((_let_51 (ASSUME :args (_let_14)))) (let ((_let_52 (ASSUME :args (_let_19)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_42 (MODUS_PONENS (AND_INTRO _let_47 _let_48 _let_51 _let_52 _let_43 _let_46) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG (REFL :args (_let_18)) _let_47 :args _let_50) (SYMM _let_52) (CONG (TRANS (SYMM _let_51) (CONG (REFL :args (_let_8)) _let_49 :args _let_50) _let_49) _let_45 :args _let_44) (SYMM _let_47)) (CONG (SYMM _let_46) _let_45 :args _let_44) :args (=)) (FALSE_INTRO _let_43)) :args ((= _let_20 false)))) :args (_let_16 _let_10 _let_14 _let_19 _let_29 _let_17)))) :args (_let_10 _let_29 _let_14 _let_16 _let_17 _let_19 _let_20)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_41))) (TRUE_INTRO (SYMM (SYMM _let_42))))) :args (_let_20 _let_40)) :args ((not (and _let_10 _let_29 _let_14 _let_16 _let_17 _let_19 _let_20)) SB_LITERAL))) (CONG (REFL :args (_let_21)) (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_11))) (REFL :args ((not _let_14))) (REFL :args ((not _let_16))) (REFL :args ((not _let_17))) (REFL :args ((not _let_19))) (REFL :args _let_41) :args _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A tptp.zero)))) :args (_let_38))) _let_39 :args (_let_20 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_12 _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication (tptp.addition A B) C)))) :args _let_36)) _let_37 :args (_let_19 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A A)))) :args (_let_34))) _let_35 :args (_let_17 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.antidomain X0)))) :args (_let_32))) _let_33 :args (_let_16 false _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_7 _let_8 _let_8 QUANTIFIERS_INST_E_MATCHING ((tptp.addition A (tptp.addition B C))))) :args _let_30)) _let_31 :args (_let_14 false _let_6)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_22 1)) _let_28 :args (_let_29 true _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_22 0)) (CONG (REFL :args (_let_22)) (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_10))) :args _let_26)) :args ((or _let_10 _let_22))) _let_28 :args (_let_10 true _let_22)) :args (false false _let_20 false _let_19 false _let_17 false _let_16 false _let_14 true _let_11 false _let_10)) :args ((forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))) _let_6 _let_5 _let_4 (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)))) _let_3 (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))) _let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.antidomain (tptp.multiplication X0 (tptp.antidomain (tptp.antidomain X1)))))) (= (tptp.addition (tptp.antidomain (tptp.multiplication X0 X1)) _let_1) _let_1))) (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.antidomain X0))) (= (tptp.addition (tptp.antidomain _let_1) _let_1) tptp.one))) (forall ((X0 $$unsorted)) (= (tptp.domain X0) (tptp.antidomain (tptp.antidomain X0)))) (forall ((X0 $$unsorted)) (= (tptp.multiplication X0 (tptp.coantidomain X0)) tptp.zero)) (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.coantidomain (tptp.multiplication (tptp.coantidomain (tptp.coantidomain X0)) X1)))) (= (tptp.addition (tptp.coantidomain (tptp.multiplication X0 X1)) _let_1) _let_1))) (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.coantidomain X0))) (= (tptp.addition (tptp.coantidomain _let_1) _let_1) tptp.one))) (forall ((X0 $$unsorted)) (= (tptp.codomain X0) (tptp.coantidomain (tptp.coantidomain X0)))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.56  )
% 0.20/0.56  % SZS output end Proof for KLE089+1
% 0.20/0.56  % cvc5---1.0.5 exiting
% 0.20/0.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------