TSTP Solution File: KLE037+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE037+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n005.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 05:27:00 EDT 2023
% Result : Theorem 0.20s 0.67s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KLE037+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n005.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 11:19:22 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.67 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.XfXAmGgEyq/cvc5---1.0.5_8658.p...
% 0.20/0.67 ------- get file name : TPTP file name is KLE037+1
% 0.20/0.67 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_8658.smt2...
% 0.20/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.67 % SZS status Theorem for KLE037+1
% 0.20/0.67 % SZS output start Proof for KLE037+1
% 0.20/0.67 (
% 0.20/0.67 (let ((_let_1 (forall ((X0 $$unsorted)) (tptp.leq tptp.one (tptp.star X0))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication _let_1 A)) _let_1))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (let ((_let_5 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_6 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_8 (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (= _let_8 (tptp.addition tptp.one _let_8)))) (let ((_let_10 (tptp.multiplication _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_11 (tptp.addition tptp.one _let_10))) (let ((_let_12 (tptp.addition _let_11 _let_8))) (let ((_let_13 (= _let_8 _let_12))) (let ((_let_14 (tptp.addition _let_10 _let_8))) (let ((_let_15 (tptp.addition tptp.one _let_14))) (let ((_let_16 (= _let_12 _let_15))) (let ((_let_17 (= _let_15 (tptp.addition _let_14 tptp.one)))) (let ((_let_18 (tptp.addition tptp.one tptp.one))) (let ((_let_19 (tptp.addition _let_18 _let_14))) (let ((_let_20 (= (tptp.addition tptp.one _let_15) _let_19))) (let ((_let_21 (= _let_19 (tptp.addition _let_14 _let_18)))) (let ((_let_22 (= tptp.one _let_18))) (let ((_let_23 (tptp.leq tptp.one _let_8))) (let ((_let_24 (= _let_23 _let_9))) (let ((_let_25 (not _let_9))) (let ((_let_26 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (_let_26))) (let ((_let_29 ((tptp.leq A B)))) (let ((_let_30 (not _let_23))) (let ((_let_31 (_let_2))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 (tptp.leq _let_11 _let_8))) (let ((_let_34 (= _let_33 _let_13))) (let ((_let_35 (_let_3))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (_let_6))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (_let_7))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 ((tptp.addition A B)))) (let ((_let_42 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (and _let_13 _let_16 _let_17 _let_20 _let_21 _let_22))) (let ((_let_45 (APPLY_UF tptp.addition))) (let ((_let_46 (ASSUME :args (_let_13)))) (let ((_let_47 (ASSUME :args (_let_16)))) (let ((_let_48 (ASSUME :args (_let_20)))) (let ((_let_49 (ASSUME :args (_let_21)))) (let ((_let_50 (ASSUME :args (_let_22)))) (let ((_let_51 (ASSUME :args (_let_17)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_44)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_46 _let_47 _let_48 _let_49 _let_50 _let_51) (SCOPE (TRANS _let_46 _let_47 (SYMM (SYMM _let_51)) (CONG (REFL :args (_let_14)) (SYMM (SYMM _let_50)) :args _let_45) (SYMM _let_49) (SYMM _let_48) (CONG (REFL :args (tptp.one)) (TRANS (SYMM _let_47) (SYMM _let_46)) :args _let_45)) :args (_let_13 _let_16 _let_20 _let_21 _let_22 _let_17))) :args (_let_13 _let_16 _let_17 _let_20 _let_21 _let_22))) :args (true _let_44)) :args ((or _let_9 (not _let_13) (not _let_16) (not _let_17) (not _let_20) (not _let_21) (not _let_22)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A A)))) :args (_let_42))) _let_43 :args (_let_22 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_18 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_39)) _let_40 :args (_let_21 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_14 tptp.one tptp.one QUANTIFIERS_INST_E_MATCHING ((tptp.addition A (tptp.addition B C))))) :args _let_37)) _let_38 :args (_let_20 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.one _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_39)) _let_40 :args (_let_17 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_8 _let_10 tptp.one QUANTIFIERS_INST_E_MATCHING ((tptp.addition (tptp.addition A B) C)))) :args _let_37))) _let_38 :args (_let_16 false _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_34)) :args ((or (not _let_33) _let_13 (not _let_34)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.star A)))) :args _let_35)) _let_36 :args (_let_33 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_11 _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_28)) _let_27 :args (_let_34 false _let_26)) :args (_let_13 false _let_33 false _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_24)) :args ((or _let_23 _let_25 (not _let_24)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_32) :args _let_31)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_30)) :args (or))) _let_32 :args (_let_30 true _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.one _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_28)) _let_27 :args (_let_24 false _let_26)) :args (_let_25 true _let_23 false _let_24)) :args (false false _let_22 false _let_21 false _let_20 false _let_17 false _let_16 false _let_13 true _let_9)) :args (_let_7 _let_6 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)) _let_5 (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)) (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)) _let_4 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication A _let_1)) _let_1))) _let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication A B) C) B) (tptp.leq (tptp.multiplication (tptp.star A) C) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication A B) C) A) (tptp.leq (tptp.multiplication C (tptp.star B)) A))) _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.68 )
% 0.20/0.68 % SZS output end Proof for KLE037+1
% 0.20/0.68 % cvc5---1.0.5 exiting
% 0.20/0.68 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------