TSTP Solution File: KLE035+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE035+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n032.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 0.16s 0.47s
% Output : Proof 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : KLE035+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : do_cvc5 %s %d
% 0.12/0.31 % Computer : n032.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Tue Aug 29 11:56:46 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.16/0.42 %----Proving TF0_NAR, FOF, or CNF
% 0.16/0.47 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.CLOaZcLvyH/cvc5---1.0.5_2497.p...
% 0.16/0.47 ------- get file name : TPTP file name is KLE035+1
% 0.16/0.47 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2497.smt2...
% 0.16/0.47 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.16/0.47 % SZS status Theorem for KLE035+1
% 0.16/0.47 % SZS output start Proof for KLE035+1
% 0.16/0.47 (
% 0.16/0.47 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (let ((_let_1 (tptp.c X3))) (=> (and (tptp.test X3) (tptp.test X2) (tptp.leq (tptp.multiplication (tptp.multiplication X2 X0) _let_1) tptp.zero) (tptp.leq (tptp.multiplication (tptp.multiplication X2 X1) _let_1) tptp.zero)) (tptp.leq (tptp.multiplication (tptp.multiplication X2 (tptp.addition X0 X1)) _let_1) tptp.zero))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (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) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_5 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_7 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_8 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (tptp.addition _let_8 _let_7))) (let ((_let_10 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_11 (= _let_10 _let_9))) (let ((_let_12 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_13 (tptp.multiplication _let_8 _let_12))) (let ((_let_14 (tptp.addition _let_13 tptp.zero))) (let ((_let_15 (= tptp.zero _let_14))) (let ((_let_16 (tptp.multiplication _let_7 _let_12))) (let ((_let_17 (tptp.addition _let_16 tptp.zero))) (let ((_let_18 (= tptp.zero _let_17))) (let ((_let_19 (tptp.multiplication _let_10 _let_12))) (let ((_let_20 (tptp.addition _let_19 tptp.zero))) (let ((_let_21 (= tptp.zero _let_20))) (let ((_let_22 (= _let_17 (tptp.addition tptp.zero _let_16)))) (let ((_let_23 (= _let_13 _let_14))) (let ((_let_24 (= _let_19 _let_20))) (let ((_let_25 (= (tptp.addition _let_13 _let_16) (tptp.multiplication _let_9 _let_12)))) (let ((_let_26 (_let_4))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 (tptp.leq _let_13 tptp.zero))) (let ((_let_29 (= _let_28 _let_15))) (let ((_let_30 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (_let_30))) (let ((_let_33 ((tptp.leq A B)))) (let ((_let_34 (tptp.leq _let_19 tptp.zero))) (let ((_let_35 (tptp.leq _let_16 tptp.zero))) (let ((_let_36 (not _let_35))) (let ((_let_37 (not _let_28))) (let ((_let_38 (or (not (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (not (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) _let_37 _let_36 _let_34))) (let ((_let_39 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (let ((_let_1 (tptp.c X3))) (or (not (tptp.test X3)) (not (tptp.test X2)) (not (tptp.leq (tptp.multiplication (tptp.multiplication X2 X0) _let_1) tptp.zero)) (not (tptp.leq (tptp.multiplication (tptp.multiplication X2 X1) _let_1) tptp.zero)) (tptp.leq (tptp.multiplication (tptp.multiplication X2 (tptp.addition X0 X1)) _let_1) tptp.zero)))))) (let ((_let_40 (not _let_38))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (or))) (let ((_let_43 (not _let_39))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_41) :args (_let_43))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_39))) (REFL :args (_let_40)) :args _let_42)) _let_41 :args (_let_40 true _let_39)))) (let ((_let_45 (REFL :args (_let_38)))) (let ((_let_46 (= _let_35 _let_18))) (let ((_let_47 (= _let_34 _let_21))) (let ((_let_48 (not _let_21))) (let ((_let_49 (_let_6))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (_let_51))) (let ((_let_54 ((tptp.addition A tptp.zero)))) (let ((_let_55 (_let_3))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (not _let_25))) (let ((_let_58 (not _let_24))) (let ((_let_59 (not _let_23))) (let ((_let_60 (not _let_22))) (let ((_let_61 (not _let_18))) (let ((_let_62 (not _let_15))) (let ((_let_63 (not _let_11))) (let ((_let_64 (and _let_11 _let_15 _let_18 _let_48 _let_22 _let_23 _let_24))) (let ((_let_65 (ASSUME :args (_let_48)))) (let ((_let_66 (ASSUME :args (_let_11)))) (let ((_let_67 (ASSUME :args (_let_24)))) (let ((_let_68 (ASSUME :args (_let_18)))) (let ((_let_69 (ASSUME :args (_let_22)))) (let ((_let_70 (ASSUME :args (_let_15)))) (let ((_let_71 (ASSUME :args (_let_23)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_64)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_65 _let_67 _let_68 _let_69 _let_70 _let_71 _let_66) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG (TRANS (SYMM (SYMM _let_71)) (SYMM _let_70)) (REFL :args (_let_16)) :args (APPLY_UF tptp.addition)) (SYMM _let_69) (SYMM _let_68)) (SYMM (TRANS (SYMM _let_67) (SYMM (CONG (SYMM _let_66) (REFL :args (_let_12)) :args (APPLY_UF tptp.multiplication))))) :args (=)) (FALSE_INTRO _let_65))) :args (_let_48 _let_24 _let_18 _let_22 _let_15 _let_23 _let_11))) :args (_let_11 _let_15 _let_18 _let_48 _let_22 _let_23 _let_24))) :args (true _let_64)) (CONG (REFL :args (_let_63)) (REFL :args (_let_62)) (REFL :args (_let_61)) (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_21))) (REFL :args (_let_60)) (REFL :args (_let_59)) (REFL :args (_let_58)) (REFL :args (_let_57)) :args _let_42)) :args ((or _let_21 _let_63 _let_62 _let_61 _let_60 _let_59 _let_58 _let_57))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_8 _let_7 _let_12 QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication (tptp.addition A B) C)))) :args _let_55))) _let_56 :args (_let_25 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_54)) :args _let_53)) _let_52 :args (_let_24 false _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_54)) :args _let_53)) _let_52 :args (_let_23 false _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.zero _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition B A)))) :args _let_49))) _let_50 :args (_let_22 false _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_47)) :args ((or _let_34 _let_48 (not _let_47)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_38 4)) _let_44 :args ((not _let_34) true _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_19 tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_32)) _let_31 :args (_let_47 false _let_30)) :args (_let_48 true _let_34 false _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_46)) :args ((or _let_36 _let_18 (not _let_46)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 3)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_42)) :args ((or _let_35 _let_38))) _let_44 :args (_let_35 true _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_16 tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_32)) _let_31 :args (_let_46 false _let_30)) :args (_let_18 false _let_35 false _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_29)) :args ((or _let_37 _let_15 (not _let_29)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 2)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_28))) :args _let_42)) :args ((or _let_28 _let_38))) _let_44 :args (_let_28 true _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_13 tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_32)) _let_31 :args (_let_29 false _let_30)) :args (_let_15 false _let_28 false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication A (tptp.addition B C))))) :args _let_26)) _let_27 :args (_let_11 false _let_4)) :args (false false _let_25 false _let_24 false _let_23 false _let_22 true _let_21 false _let_18 false _let_15 false _let_11)) :args (_let_6 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) _let_5 (forall ((A $$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 $$unsorted)) (= (tptp.multiplication tptp.one A) A)) _let_4 _let_3 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)) _let_2 (forall ((X0 $$unsorted)) (= (tptp.test X0) (exists ((X1 $$unsorted)) (tptp.complement X1 X0)))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= (tptp.multiplication X0 X1) tptp.zero) (= (tptp.multiplication X1 X0) tptp.zero) (= (tptp.addition X0 X1) tptp.one)))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (tptp.test X0) (= (= (tptp.c X0) X1) (tptp.complement X0 X1)))) (forall ((X0 $$unsorted)) (=> (not (tptp.test X0)) (= (tptp.c X0) tptp.zero))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.16/0.48 )
% 0.16/0.48 % SZS output end Proof for KLE035+1
% 0.16/0.48 % cvc5---1.0.5 exiting
% 0.16/0.48 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------