%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : MSC012+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n006.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 09:21:34 EDT 2023

% Result   : Theorem 0.19s 0.56s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : MSC012+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Thu Aug 24 13:48:23 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.19/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.56  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.zUW2nJxvh0/cvc5---1.0.5_532.p...
% 0.19/0.56  ------- get file name : TPTP file name is MSC012+1
% 0.19/0.56  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_532.smt2...
% 0.19/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.56  % SZS status Theorem for MSC012+1
% 0.19/0.56  % SZS output start Proof for MSC012+1
% 0.19/0.56  (
% 0.19/0.56  (let ((_let_1 (not tptp.goal))) (let ((_let_2 (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.less A B))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.less A B) (tptp.less B C)) (tptp.less A C))))) (let ((_let_4 (forall ((A $$unsorted)) (or (tptp.p A) (exists ((B $$unsorted)) (and (tptp.less A B) (tptp.p B))))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.p A) (tptp.less A B) (tptp.p B)) tptp.goal)))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.less A B)) (not (tptp.less B C)) (tptp.less A C))))) (let ((_let_7 (tptp.less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_8 (tptp.less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_11 (not _let_10))) (let ((_let_12 (or _let_11 _let_9 _let_7))) (let ((_let_13 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_14 (not _let_12))) (let ((_let_15 (tptp.p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_16 (not _let_15))) (let ((_let_17 (not _let_7))) (let ((_let_18 (tptp.p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_17 _let_16))) (let ((_let_21 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.p A)) (not (tptp.less A B)) (not (tptp.p B)))))) (let ((_let_22 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))) (ASSUME :args (_let_1)) :args (_let_21 true tptp.goal)))) (let ((_let_23 (_let_21))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (or _let_9 _let_16))) (let ((_let_26 (forall ((B $$unsorted)) (or (not (tptp.less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 B)) (not (tptp.p B)))))) (let ((_let_27 (not _let_25))) (let ((_let_28 (not _let_26))) (let ((_let_29 (tptp.p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_30 (or _let_29 _let_28))) (let ((_let_31 (forall ((A $$unsorted)) (or (tptp.p A) (not (forall ((B $$unsorted)) (or (not (tptp.less A B)) (not (tptp.p B))))))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (_let_31))) (let ((_let_34 (not _let_29))) (let ((_let_35 (or _let_19 _let_11 _let_34))) (let ((_let_36 ((not (= (tptp.less A B) false))))) (let ((_let_37 (forall ((B $$unsorted)) (not (tptp.less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 B))))) (let ((_let_38 (forall ((A $$unsorted)) (not (forall ((B $$unsorted)) (not (tptp.less A B))))))) (let ((_let_39 (not _let_37))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (_let_38))) (let ((_let_42 (or))) (let ((_let_43 (_let_39))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_43)) :args _let_43) (REWRITE :args ((=> _let_39 (not _let_11)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_37))) (REFL :args (_let_10)) :args _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_ENUM)) :args _let_41)) _let_40 :args (_let_39 false _let_38)) :args (_let_10 true _let_37)))) (let ((_let_45 (or (not (tptp.less e_$$unsorted_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) _let_19))) (let ((_let_46 (forall ((B $$unsorted)) (or (not (tptp.less e_$$unsorted_4 B)) (not (tptp.p B)))))) (let ((_let_47 (not _let_45))) (let ((_let_48 (not _let_46))) (let ((_let_49 (tptp.p e_$$unsorted_4))) (let ((_let_50 (or _let_49 _let_48))) (let ((_let_51 (e_$$unsorted_4 QUANTIFIERS_INST_ENUM))) (let ((_let_52 (tptp.less e_$$unsorted_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_53 (tptp.p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_54 (not _let_53))) (let ((_let_55 (not _let_52))) (let ((_let_56 (not _let_49))) (let ((_let_57 (or _let_56 _let_55 _let_54))) (let ((_let_58 (forall ((B $$unsorted)) (or (not (tptp.less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 B)) (not (tptp.p B)))))) (let ((_let_59 (not _let_58))) (let ((_let_60 (or _let_53 _let_59))) (let ((_let_61 (tptp.p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_62 (not _let_61))) (let ((_let_63 (tptp.less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_64 _let_62))) (let ((_let_66 (tptp.less e_$$unsorted_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_67 (or _let_55 _let_64 _let_66))) (let ((_let_68 (not _let_66))) (let ((_let_69 (or _let_56 _let_68 _let_62))) (let ((_let_70 (forall ((B $$unsorted)) (not (tptp.less e_$$unsorted_4 B))))) (let ((_let_71 (not _let_70))) (let ((_let_72 (_let_71))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_72)) :args _let_72) (REWRITE :args ((=> _let_71 (not _let_55)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_71) _let_70))) (REFL :args (_let_52)) :args _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args _let_51) :args _let_41)) _let_40 :args (_let_71 false _let_38)) :args (_let_52 true _let_70)))) (let ((_let_74 (_let_59))) (let ((_let_75 (REFL :args (_let_65)))) (let ((_let_76 (_let_6))) (let ((_let_77 (not (= (tptp.less B C) false)))) (let ((_let_78 (_let_48))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 1)) (CONG (REFL :args (_let_45)) (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_42)) :args ((or _let_18 _let_45))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_78)) :args _let_78)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_46))) (REFL :args (_let_47)) :args _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_49 _let_48 (not _let_50)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_56 _let_62 _let_68 (not _let_69)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (e_$$unsorted_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_36)) :args _let_23)) _let_22 :args (_let_69 false _let_21)) (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_55 _let_64 _let_66 (not _let_67)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_13 :args (e_$$unsorted_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.less A B) false)) _let_77))) :args _let_76)) _let_13 :args (_let_67 false _let_6)) _let_73 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_65 1)) (CONG _let_75 (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_61))) :args _let_42)) :args ((or _let_61 _let_65))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_65 0)) (CONG _let_75 (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_63))) :args _let_42)) :args ((or _let_63 _let_65))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_74)) :args _let_74)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_58))) (REFL :args ((not _let_65))) :args _let_42)) (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_53 _let_59 (not _let_60)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_ENUM)) :args _let_33)) _let_32 :args (_let_60 false _let_31)) (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_56 _let_55 _let_54 (not _let_57)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (e_$$unsorted_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_ENUM)) :args _let_23)) _let_22 :args (_let_57 false _let_21)) _let_73 :args (_let_56 false _let_69 false _let_66 false _let_67 false _let_52 false _let_61 false _let_63 true _let_65 true _let_58 false _let_60 true _let_53 false _let_57 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args _let_51) :args _let_33)) _let_32 :args (_let_50 false _let_31)) :args (_let_48 true _let_49 false _let_50)) :args (_let_47 true _let_46)) :args (_let_18 true _let_45)))) (let ((_let_80 (_let_28))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_80)) :args _let_80)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_26))) (REFL :args (_let_27)) :args _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_29 _let_28 (not _let_30)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_19 _let_11 _let_34 (not _let_35)))) _let_79 _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_36)) :args _let_23)) _let_22 :args (_let_35 false _let_21)) :args (_let_34 false _let_18 false _let_10 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.p A) true))))) :args _let_33)) _let_32 :args (_let_30 false _let_31)) :args (_let_28 true _let_29 false _let_30)) :args (_let_27 true _let_26)))) (let ((_let_82 (REFL :args (_let_25)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_13 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING (_let_77 (not (= (tptp.less A C) true))))) :args _let_76)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_12)) :args ((or _let_11 _let_9 _let_7 _let_14))) _let_44 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 0)) (CONG _let_82 (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))) :args _let_42)) :args ((or _let_8 _let_25))) _let_81 :args (_let_8 true _let_25)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_19 _let_16 _let_17 (not _let_20)))) _let_79 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 1)) (CONG _let_82 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_42)) :args ((or _let_15 _let_25))) _let_81 :args (_let_15 true _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.p A) false)) (not (= (tptp.p B) false))))) :args _let_23)) _let_22 :args (_let_20 false _let_21)) :args (_let_17 false _let_18 false _let_15 false _let_20)) :args (_let_14 false _let_10 false _let_8 true _let_7)) _let_13 :args (false true _let_12 false _let_6)) :args (_let_5 _let_4 _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.57  )
% 0.19/0.57  % SZS output end Proof for MSC012+1
% 0.19/0.57  % cvc5---1.0.5 exiting
% 0.19/0.57  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------