TSTP Solution File: KLE055+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE055+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n013.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 05:27:06 EDT 2023
% Result : Theorem 10.53s 10.76s
% Output : Proof 10.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KLE055+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n013.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 11:40:16 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.22/0.49 %----Proving TF0_NAR, FOF, or CNF
% 10.53/10.76 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.rcYAblPhX9/cvc5---1.0.5_8631.p...
% 10.53/10.76 ------- get file name : TPTP file name is KLE055+1
% 10.53/10.76 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_8631.smt2...
% 10.53/10.76 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.53/10.76 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.53/10.76 % SZS status Theorem for KLE055+1
% 10.53/10.76 % SZS output start Proof for KLE055+1
% 10.53/10.76 (
% 10.53/10.76 (let ((_let_1 (not (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.domain X0))) (=> (= (tptp.addition X0 tptp.one) tptp.one) (= (tptp.addition X0 _let_1) _let_1))))))) (let ((_let_2 (forall ((X0 $$unsorted)) (= (tptp.addition (tptp.domain X0) tptp.one) tptp.one)))) (let ((_let_3 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.domain X0) X0))) (= (tptp.addition X0 _let_1) _let_1))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_6 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_7 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_10 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_11 (tptp.multiplication _let_10 tptp.one))) (let ((_let_12 (tptp.multiplication _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_13 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one))) (let ((_let_14 (= (tptp.multiplication _let_10 _let_13) (tptp.addition _let_12 _let_11)))) (let ((_let_15 (_let_5))) (let ((_let_16 (ASSUME :args _let_15))) (let ((_let_17 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_18 (tptp.addition tptp.one _let_10))) (let ((_let_19 (= (tptp.multiplication _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition _let_17 _let_12)))) (let ((_let_20 (tptp.addition _let_10 tptp.one))) (let ((_let_21 (= _let_20 _let_18))) (let ((_let_22 (= _let_10 _let_11))) (let ((_let_23 (= tptp.one _let_20))) (let ((_let_24 (= _let_12 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_12)))) (let ((_let_25 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17))) (let ((_let_26 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero)))) (let ((_let_27 (= _let_10 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10)))) (let ((_let_28 (= tptp.one _let_13))) (let ((_let_29 (not _let_14))) (let ((_let_30 (_let_4))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 (_let_9))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (forall ((X0 $$unsorted)) (= tptp.one (tptp.addition (tptp.domain X0) tptp.one))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_39 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.domain X0) X0))) (= _let_1 (tptp.addition X0 _let_1)))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (not _let_28))) (let ((_let_46 (or _let_45 _let_27))) (let ((_let_47 (not _let_27))) (let ((_let_48 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.domain X0))) (or (not (= tptp.one (tptp.addition X0 tptp.one))) (= _let_1 (tptp.addition X0 _let_1))))))) (let ((_let_49 (not _let_46))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (or))) (let ((_let_52 (not _let_48))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_50) :args (_let_52))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_48))) (REFL :args (_let_49)) :args _let_51)) _let_50 :args (_let_49 true _let_48)))) (let ((_let_54 (and _let_28 _let_47 _let_26 _let_25 _let_24 _let_23 _let_22 _let_21 _let_19))) (let ((_let_55 (ASSUME :args (_let_47)))) (let ((_let_56 (APPLY_UF tptp.addition))) (let ((_let_57 (ASSUME :args (_let_22)))) (let ((_let_58 (SYMM _let_57))) (let ((_let_59 (ASSUME :args (_let_26)))) (let ((_let_60 (ASSUME :args (_let_25)))) (let ((_let_61 (APPLY_UF tptp.multiplication))) (let ((_let_62 (ASSUME :args (_let_23)))) (let ((_let_63 (ASSUME :args (_let_21)))) (let ((_let_64 (ASSUME :args (_let_19)))) (let ((_let_65 (ASSUME :args (_let_24)))) (let ((_let_66 (ASSUME :args (_let_28)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (_let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_15)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_54)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_57 _let_66 _let_55 _let_59 _let_60 _let_62 _let_63 _let_64 _let_65) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG (REFL :args (_let_10)) (SYMM _let_66) :args _let_61) _let_58) (CONG (TRANS (TRANS (SYMM (SYMM _let_65)) (CONG _let_60 (REFL :args (_let_12)) :args _let_56) (SYMM _let_64) (CONG (TRANS (SYMM _let_63) (SYMM _let_62)) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) :args _let_61) (SYMM _let_60) _let_59) (SYMM _let_59)) _let_58 :args _let_56) :args (=)) (FALSE_INTRO _let_55))) :args (_let_22 _let_28 _let_47 _let_26 _let_25 _let_23 _let_21 _let_19 _let_24))) :args (_let_28 _let_47 _let_26 _let_25 _let_24 _let_23 _let_22 _let_21 _let_19))) :args (true _let_54)) (CONG (REFL :args (_let_45)) (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_27))) (REFL :args ((not _let_26))) (REFL :args ((not _let_25))) (REFL :args ((not _let_24))) (REFL :args ((not _let_23))) (REFL :args ((not _let_22))) (REFL :args ((not _let_21))) (REFL :args ((not _let_19))) (REFL :args (_let_29)) :args _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 0)) (CONG (REFL :args (_let_46)) (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_28))) :args _let_51)) :args ((or _let_28 _let_46))) _let_53 :args (_let_28 true _let_46)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_46 1)) _let_53 :args (_let_47 true _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args _let_38) :args (_let_43))) _let_44 :args (_let_26 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args _let_38) :args (_let_41))) _let_42 :args (_let_25 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args _let_38) :args (_let_39))) _let_40 :args (_let_24 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args _let_38) :args (_let_36))) _let_37 :args (_let_23 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_10 QUANTIFIERS_INST_ENUM)) :args (_let_34))) _let_35 :args (_let_22 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_10 tptp.one QUANTIFIERS_INST_ENUM)) :args _let_32)) _let_33 :args (_let_21 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.one _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_30)) _let_31 :args (_let_19 false _let_4)) :args (_let_29 false _let_28 true _let_27 false _let_26 false _let_25 false _let_24 false _let_23 false _let_22 false _let_21 false _let_19)) _let_16 :args (false true _let_14 false _let_5)) :args (_let_9 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) _let_8 (forall ((A $$unsorted)) (= (tptp.addition A A) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) _let_7 _let_6 _let_5 _let_4 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) _let_3 (forall ((X0 $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.53/10.77 )
% 10.53/10.77 % SZS output end Proof for KLE055+1
% 10.53/10.77 % cvc5---1.0.5 exiting
% 10.53/10.77 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------