%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP128-4.003 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 00:24:38 EDT 2023

% Result   : Unsatisfiable 0.20s 0.58s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : GRP128-4.003 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.12/0.13  % 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 02:22:38 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.D2AXzOB0zq/cvc5---1.0.5_11836.p...
% 0.20/0.49  ------- get file name : TPTP file name is GRP128-4.003
% 0.20/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_11836.smt2...
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.58  % SZS status Unsatisfiable for GRP128-4.003
% 0.20/0.58  % SZS output start Proof for GRP128-4.003
% 0.20/0.59  (
% 0.20/0.59  (let ((_let_1 (forall ((W $$unsorted) (Y $$unsorted) (X $$unsorted) (Z $$unsorted)) (or (not (tptp.product W Y X)) (not (tptp.product Z Y X)) (tptp.equalish W Z))))) (let ((_let_2 (forall ((X $$unsorted) (W $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.product X W Y)) (not (tptp.product X Z Y)) (tptp.equalish W Z))))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (Z $$unsorted)) (or (not (tptp.product X Y W)) (not (tptp.product X Y Z)) (tptp.equalish W Z))))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.group_element X)) (not (tptp.group_element Y)) (tptp.product X Y tptp.e_1) (tptp.product X Y tptp.e_2) (tptp.product X Y tptp.e_3))))) (let ((_let_5 (tptp.equalish tptp.e_1 tptp.e_3))) (let ((_let_6 (not _let_5))) (let ((_let_7 (tptp.group_element tptp.e_3))) (let ((_let_8 (tptp.group_element tptp.e_1))) (let ((_let_9 (forall ((Z1 $$unsorted) (Y $$unsorted) (Z2 $$unsorted) (X $$unsorted)) (or (tptp.product Z1 Y Z2) (not (tptp.product X Z1 Z2)) (not (tptp.product X Y Z1)))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted) (Z1 $$unsorted) (Z2 $$unsorted)) (or (tptp.product X Y Z1) (not (tptp.product X Z1 Z2)) (not (tptp.product Z1 Y Z2)))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.group_element X)) (not (tptp.group_element Y)) (tptp.product X tptp.e_1 Y) (tptp.product X tptp.e_2 Y) (tptp.product X tptp.e_3 Y))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.group_element X)) (not (tptp.group_element Y)) (tptp.product tptp.e_1 X Y) (tptp.product tptp.e_2 X Y) (tptp.product tptp.e_3 X Y))))) (let ((_let_13 (tptp.product tptp.e_1 tptp.e_3 tptp.e_2))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.product tptp.e_1 tptp.e_1 tptp.e_2))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.product tptp.e_1 tptp.e_3 tptp.e_1))) (let ((_let_18 (or _let_17 _let_16 _let_14))) (let ((_let_19 (_let_10))) (let ((_let_20 (ASSUME :args _let_19))) (let ((_let_21 (not _let_18))) (let ((_let_22 (tptp.product tptp.e_1 tptp.e_3 tptp.e_3))) (let ((_let_23 (not _let_7))) (let ((_let_24 (not _let_8))) (let ((_let_25 (or _let_24 _let_23 _let_17 _let_13 _let_22))) (let ((_let_26 (_let_4))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 (not _let_22))) (let ((_let_29 (tptp.product tptp.e_3 tptp.e_3 tptp.e_3))) (let ((_let_30 (or _let_29 _let_28 _let_28))) (let ((_let_31 (not _let_29))) (let ((_let_32 (or _let_28 _let_31 _let_5))) (let ((_let_33 (_let_9))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 ((not (= (tptp.product Z1 Y Z2) true)) (not (= (tptp.product X Y Z1) false))))) (let ((_let_36 (ASSUME :args (_let_6)))) (let ((_let_37 (_let_1))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_5 _let_28 _let_31 (not _let_32)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.e_1 tptp.e_3 tptp.e_3 tptp.e_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product W Y X) false)) (not (= (tptp.product Z Y X) false))))) :args _let_37)) _let_38 :args (_let_32 false _let_1)) _let_36 (REORDERING (FACTORING (CNF_OR_POS :args (_let_30))) :args ((or _let_28 _let_29 (not _let_30)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.e_3 tptp.e_3 tptp.e_3 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_35)) :args _let_33)) _let_34 :args (_let_30 false _let_9)) :args (_let_28 false _let_32 true _let_5 false _let_29 false _let_30)))) (let ((_let_40 (not _let_17))) (let ((_let_41 (tptp.product tptp.e_1 tptp.e_1 tptp.e_1))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_40 _let_5))) (let ((_let_44 (_let_2))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 ((not (= (tptp.product X W Y) false)) (not (= (tptp.product X Z Y) false))))) (let ((_let_47 (or _let_41 _let_16 _let_16))) (let ((_let_48 (tptp.product tptp.e_1 tptp.e_1 tptp.e_3))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_41 _let_49 _let_49))) (let ((_let_51 (or _let_24 _let_24 _let_41 _let_15 _let_48))) (let ((_let_52 (not (= (tptp.product X Z1 Z2) false)))) (let ((_let_53 ((not (= (tptp.product X Y Z1) true)) _let_52))) (let ((_let_54 (ASSUME :args (_let_8)))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_51))) :args ((or _let_24 _let_41 _let_15 _let_48 (not _let_51)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.e_1 tptp.e_1 QUANTIFIERS_INST_ENUM)) :args _let_26)) _let_27 :args (_let_51 false _let_4)) _let_54 (REORDERING (FACTORING (CNF_OR_POS :args (_let_50))) :args ((or _let_41 _let_49 (not _let_50)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_53)) :args _let_19)) _let_20 :args (_let_50 false _let_10)) (REORDERING (FACTORING (CNF_OR_POS :args (_let_47))) :args ((or _let_41 _let_16 (not _let_47)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_53)) :args _let_19)) _let_20 :args (_let_47 false _let_10)) :args (_let_41 false _let_51 false _let_8 true _let_48 false _let_50 true _let_15 false _let_47)))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_5 _let_42 _let_40 (not _let_43)))) _let_36 _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_46)) :args _let_44)) _let_45 :args (_let_43 false _let_2)) :args (_let_40 true _let_5 false _let_41 false _let_43)))) (let ((_let_57 (ASSUME :args (_let_7)))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_24 _let_23 _let_17 _let_22 _let_13 (not _let_25)))) _let_54 _let_57 _let_56 _let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product X Y tptp.e_1) true))))) :args _let_26)) _let_27 :args (_let_25 false _let_4)) :args (_let_13 false _let_8 false _let_7 true _let_17 true _let_22 false _let_25)))) (let ((_let_59 (tptp.product tptp.e_2 tptp.e_1 tptp.e_3))) (let ((_let_60 (not _let_59))) (let ((_let_61 (tptp.product tptp.e_1 tptp.e_2 tptp.e_3))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_15 _let_62 _let_60))) (let ((_let_64 (_let_52 (not (= (tptp.product Z1 Y Z2) false))))) (let ((_let_65 (or _let_24 _let_23 _let_48 _let_61 _let_22))) (let ((_let_66 (_let_11))) (let ((_let_67 (ASSUME :args _let_66))) (let ((_let_68 (or _let_42 _let_49 _let_5))) (let ((_let_69 (_let_3))) (let ((_let_70 (ASSUME :args _let_69))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_5 _let_42 _let_49 (not _let_68)))) _let_36 _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product X Y W) false)) (not (= (tptp.product X Y Z) false))))) :args _let_69)) _let_70 :args (_let_68 false _let_3)) :args (_let_49 true _let_5 false _let_41 false _let_68)))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_24 _let_23 _let_48 _let_61 _let_22 (not _let_65)))) _let_54 _let_57 _let_71 _let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product X tptp.e_1 Y) true))))) :args _let_66)) _let_67 :args (_let_65 false _let_11)) :args (_let_61 false _let_8 false _let_7 true _let_48 true _let_22 false _let_65)))) (let ((_let_73 (tptp.product tptp.e_3 tptp.e_1 tptp.e_3))) (let ((_let_74 (or _let_24 _let_23 _let_48 _let_59 _let_73))) (let ((_let_75 (_let_12))) (let ((_let_76 (ASSUME :args _let_75))) (let ((_let_77 (not _let_73))) (let ((_let_78 (or _let_77 _let_31 _let_5))) (let ((_let_79 (tptp.product tptp.e_2 tptp.e_3 tptp.e_3))) (let ((_let_80 (not _let_79))) (let ((_let_81 (or _let_29 _let_80 _let_80))) (let ((_let_82 (or _let_79 _let_62 _let_14))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.e_1 tptp.e_3 tptp.e_1 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_19)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_17 _let_16 _let_14 _let_21))) _let_56 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_15 _let_60 _let_62 (not _let_63)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_24 _let_23 _let_48 _let_59 _let_73 (not _let_74)))) _let_54 _let_57 _let_71 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_5 _let_77 _let_31 (not _let_78)))) _let_36 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_81))) :args ((or _let_29 _let_80 (not _let_81)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_62 _let_14 _let_79 (not _let_82)))) _let_72 _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.e_2 tptp.e_3 tptp.e_3 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_35)) :args _let_33)) _let_34 :args (_let_82 false _let_9)) :args (_let_79 false _let_61 false _let_13 false _let_82)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.e_3 tptp.e_3 tptp.e_3 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_35)) :args _let_33)) _let_34 :args (_let_81 false _let_9)) :args (_let_29 false _let_79 false _let_81)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.e_3 tptp.e_1 tptp.e_3 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_46)) :args _let_44)) _let_45 :args (_let_78 false _let_2)) :args (_let_77 true _let_5 false _let_29 false _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product tptp.e_1 X Y) true))))) :args _let_75)) _let_76 :args (_let_74 false _let_12)) :args (_let_59 false _let_8 false _let_7 true _let_48 true _let_73 false _let_74)) _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.e_1 tptp.e_1 tptp.e_2 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_19)) _let_20 :args (_let_63 false _let_10)) :args (_let_15 false _let_59 false _let_61 false _let_63)) _let_58 :args (_let_21 true _let_17 false _let_15 false _let_13)) _let_20 :args (false true _let_18 false _let_10)) :args (_let_12 _let_11 _let_10 _let_9 _let_8 (tptp.group_element tptp.e_2) _let_7 (not (tptp.equalish tptp.e_1 tptp.e_2)) _let_6 (not (tptp.equalish tptp.e_2 tptp.e_1)) (not (tptp.equalish tptp.e_2 tptp.e_3)) (not (tptp.equalish tptp.e_3 tptp.e_1)) (not (tptp.equalish tptp.e_3 tptp.e_2)) _let_4 _let_3 _let_2 _let_1 (forall ((X $$unsorted) (Y $$unsorted) (Z1 $$unsorted) (Z2 $$unsorted)) (or (not (tptp.product X Y Z1)) (not (tptp.product Z1 Y Z2)) (tptp.product X Z1 Z2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.59  )
% 0.20/0.59  % SZS output end Proof for GRP128-4.003
% 0.20/0.59  % cvc5---1.0.5 exiting
% 0.20/0.60  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------