%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP039-6 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n026.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 00:24:09 EDT 2023

% Result   : Unsatisfiable 50.77s 51.65s
% Output   : Proof 50.77s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : GRP039-6 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.12  % Command    : do_cvc5 %s %d
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 29 01:40:20 EDT 2023
% 0.12/0.33  % CPUTime    : 
% 0.17/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.17/0.48  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.JotGztXgm3/cvc5---1.0.5_5824.p...
% 0.17/0.48  ------- get file name : TPTP file name is GRP039-6
% 0.17/0.49  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_5824.smt2...
% 0.17/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.32/10.53  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.34/15.61  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.30/20.64  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.35/25.70  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.46/30.84  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.42/35.86  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.46/40.89  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.53/46.11  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 50.74/51.15  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 50.77/51.65  % SZS status Unsatisfiable for GRP039-6
% 50.77/51.65  % SZS output start Proof for GRP039-6
% 50.77/51.66  (
% 50.77/51.66  (let ((_let_1 (tptp.subgroup_member tptp.d))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.product tptp.a tptp.c tptp.d))) (let ((_let_4 (tptp.inverse tptp.a))) (let ((_let_5 (tptp.product tptp.b _let_4 tptp.c))) (let ((_let_6 (tptp.subgroup_member tptp.b))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (or (tptp.product A (tptp.element_in_O2 A B) B) (tptp.subgroup_member B) (tptp.subgroup_member A))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (or (tptp.subgroup_member (tptp.element_in_O2 A B)) (tptp.subgroup_member B) (tptp.subgroup_member A))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.product A B C)) (not (tptp.product A D C)) (tptp.equalish D B))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.product X Y U)) (not (tptp.product Y Z V)) (not (tptp.product X V W)) (tptp.product U Z W))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.product X Y U)) (not (tptp.product Y Z V)) (not (tptp.product U Z W)) (tptp.product X V W))))) (let ((_let_12 (forall ((X $$unsorted)) (tptp.product (tptp.inverse X) X tptp.identity)))) (let ((_let_13 (forall ((X $$unsorted)) (tptp.product X tptp.identity X)))) (let ((_let_14 (forall ((X $$unsorted)) (tptp.product tptp.identity X X)))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.subgroup_member A)) (not (tptp.subgroup_member B)) (not (tptp.product A B C)) (tptp.subgroup_member C))))) (let ((_let_16 (forall ((X $$unsorted)) (or (not (tptp.subgroup_member X)) (tptp.subgroup_member (tptp.inverse X)))))) (let ((_let_17 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.equalish A B)) (not (tptp.subgroup_member A)) (tptp.subgroup_member B))))) (let ((_let_18 (tptp.subgroup_member tptp.c))) (let ((_let_19 (not _let_5))) (let ((_let_20 (tptp.subgroup_member _let_4))) (let ((_let_21 (not _let_20))) (let ((_let_22 (not _let_6))) (let ((_let_23 (or _let_22 _let_21 _let_19 _let_18))) (let ((_let_24 (ASSUME :args (_let_6)))) (let ((_let_25 (ASSUME :args (_let_5)))) (let ((_let_26 (_let_15))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 ((not (= (tptp.product A B C) false))))) (let ((_let_29 (tptp.subgroup_member tptp.a))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_20))) (let ((_let_32 (_let_16))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 ((tptp.inverse X)))) (let ((_let_35 (tptp.element_in_O2 tptp.a tptp.d))) (let ((_let_36 (tptp.product tptp.a _let_35 tptp.d))) (let ((_let_37 (or _let_36 _let_1 _let_29))) (let ((_let_38 (tptp.subgroup_member _let_35))) (let ((_let_39 (or _let_38 _let_1 _let_29))) (let ((_let_40 (tptp.inverse tptp.c))) (let ((_let_41 (tptp.product _let_40 tptp.b tptp.a))) (let ((_let_42 (not _let_41))) (let ((_let_43 (tptp.subgroup_member _let_40))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_22 _let_42 _let_29))) (let ((_let_46 (tptp.equalish _let_35 tptp.c))) (let ((_let_47 (not _let_36))) (let ((_let_48 (not _let_3))) (let ((_let_49 (or _let_48 _let_47 _let_46))) (let ((_let_50 (not _let_18))) (let ((_let_51 (or _let_50 _let_43))) (let ((_let_52 (not _let_38))) (let ((_let_53 (not _let_46))) (let ((_let_54 (or _let_53 _let_52 _let_18))) (let ((_let_55 (ASSUME :args (_let_2)))) (let ((_let_56 (_let_7))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 (_let_8))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 (tptp.product tptp.identity tptp.a tptp.a))) (let ((_let_61 (not _let_60))) (let ((_let_62 (tptp.product tptp.c tptp.a tptp.b))) (let ((_let_63 (not _let_62))) (let ((_let_64 (tptp.product _let_40 tptp.c tptp.identity))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_63 _let_61 _let_41))) (let ((_let_67 (_let_11))) (let ((_let_68 (ASSUME :args _let_67))) (let ((_let_69 (_let_12))) (let ((_let_70 (ASSUME :args _let_69))) (let ((_let_71 (tptp.product tptp.b tptp.identity tptp.b))) (let ((_let_72 (not _let_71))) (let ((_let_73 (tptp.product _let_4 tptp.a tptp.identity))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_19 _let_74 _let_72 _let_62))) (let ((_let_76 (_let_10))) (let ((_let_77 (ASSUME :args _let_76))) (let ((_let_78 (_let_13))) (let ((_let_79 (ASSUME :args _let_78))) (let ((_let_80 (_let_14))) (let ((_let_81 (ASSUME :args _let_80))) (let ((_let_82 (ASSUME :args (_let_3)))) (let ((_let_83 (_let_9))) (let ((_let_84 (ASSUME :args _let_83))) (let ((_let_85 (_let_17))) (let ((_let_86 (ASSUME :args _let_85))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_18 _let_52 _let_53 (not _let_54)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_35 tptp.c QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_85)) _let_86 :args (_let_54 false _let_17)) (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_50 _let_43 (not _let_51)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_34)) :args _let_32)) _let_33 :args (_let_51 false _let_16)) (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_48 _let_47 _let_46 (not _let_49)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (tptp.a tptp.c tptp.d _let_35 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product A B C) false)) (not (= (tptp.product A D C) false))))) :args _let_83)) _let_84 :args (_let_49 false _let_9)) _let_82 (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_22 _let_29 _let_44 _let_42 (not _let_45)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_40 tptp.b tptp.a QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_26)) _let_27 :args (_let_45 false _let_15)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_61 _let_63 _let_65 _let_41 (not _let_66)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.a QUANTIFIERS_INST_ENUM)) :args _let_80)) _let_81 :args (_let_60 false _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_19 _let_74 _let_72 _let_62 (not _let_75)))) _let_25 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.inverse X)))) :args _let_69)) _let_70 :args (_let_73 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (tptp.b QUANTIFIERS_INST_ENUM)) :args _let_78)) _let_79 :args (_let_71 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (tptp.b _let_4 tptp.c tptp.a tptp.identity tptp.b QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product X Y U) false)) (not (= (tptp.product Y Z V) false)) (not (= (tptp.product X V W) false))))) :args _let_76)) _let_77 :args (_let_75 false _let_10)) :args (_let_62 false _let_5 false _let_73 false _let_71 false _let_75)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.c QUANTIFIERS_INST_ENUM)) :args _let_69)) _let_70 :args (_let_64 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_40 tptp.c tptp.identity tptp.a tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product X Y U) false)) (not (= (tptp.product Y Z V) false)) (not (= (tptp.product U Z W) false))))) :args _let_67)) _let_68 :args (_let_66 false _let_11)) :args (_let_41 false _let_60 false _let_62 false _let_64 false _let_66)) _let_24 (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_1 _let_29 _let_38 (not _let_39)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.a tptp.d QUANTIFIERS_INST_ENUM)) :args _let_58)) _let_59 :args (_let_39 false _let_8)) _let_55 (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_1 _let_29 _let_36 (not _let_37)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.a tptp.d QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.subgroup_member B) true)) (not (= (tptp.subgroup_member A) true))))) :args _let_56)) _let_57 :args (_let_37 false _let_7)) _let_55 :args (_let_29 false _let_54 true _let_18 false _let_51 false _let_46 false _let_49 false _let_3 true _let_43 false _let_45 false _let_41 false _let_6 false _let_38 false _let_39 true _let_1 false _let_36 false _let_37 true _let_1)))) (let ((_let_88 (or _let_30 _let_50 _let_48 _let_1))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_22 _let_19 _let_21 _let_18 (not _let_23)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_1 _let_48 _let_30 _let_50 (not _let_88)))) _let_55 _let_82 _let_87 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.a tptp.c tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_28)) :args _let_26)) _let_27 :args (_let_88 false _let_15)) :args (_let_50 true _let_1 false _let_3 false _let_29 false _let_88)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_20 (not _let_31)))) _let_87 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_34)) :args _let_32)) _let_33 :args (_let_31 false _let_16)) :args (_let_20 false _let_29 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.b _let_4 tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_28)) :args _let_26)) _let_27 :args (_let_23 false _let_15)) _let_25 _let_24 :args (false true _let_18 false _let_20 false _let_23 false _let_5 false _let_6)) :args (_let_17 (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (Z $$unsorted)) (or (not (tptp.equalish X Y)) (not (tptp.product W Z X)) (tptp.product W Z Y))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.equalish A B)) (tptp.equalish (tptp.element_in_O2 C A) (tptp.element_in_O2 C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.equalish A B)) (tptp.equalish (tptp.element_in_O2 A C) (tptp.element_in_O2 B C)))) _let_16 _let_15 _let_14 _let_13 _let_12 (forall ((X $$unsorted)) (tptp.product X (tptp.inverse X) tptp.identity)) _let_11 _let_10 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (or (not (tptp.product X Y Z)) (not (tptp.product X Y W)) (tptp.equalish Z W))) (tptp.subgroup_member tptp.identity) _let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.product A B C)) (not (tptp.product D B C)) (tptp.equalish D A))) _let_8 _let_7 _let_6 _let_5 _let_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 50.77/51.66  )
% 50.77/51.66  % SZS output end Proof for GRP039-6
% 50.77/51.66  % cvc5---1.0.5 exiting
% 50.77/51.66  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------