%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP037-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n014.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 00:24:07 EDT 2023

% Result   : Unsatisfiable 0.21s 0.57s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : GRP037-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n014.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 29 02:41:30 EDT 2023
% 0.20/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.68X8iBzWDj/cvc5---1.0.5_25773.p...
% 0.21/0.50  ------- get file name : TPTP file name is GRP037-3
% 0.21/0.50  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_25773.smt2...
% 0.21/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.57  % SZS status Unsatisfiable for GRP037-3
% 0.21/0.57  % SZS output start Proof for GRP037-3
% 0.21/0.57  (
% 0.21/0.57  (let ((_let_1 (tptp.another_inverse tptp.a))) (let ((_let_2 (tptp.inverse tptp.a))) (let ((_let_3 (= _let_2 _let_1))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.subgroup_member tptp.a))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.product A B C)) (not (tptp.product A D C)) (= D B))))) (let ((_let_7 (forall ((A $$unsorted)) (or (not (tptp.subgroup_member A)) (tptp.subgroup_member (tptp.another_inverse A)))))) (let ((_let_8 (forall ((A $$unsorted)) (or (not (tptp.subgroup_member A)) (tptp.product (tptp.another_inverse A) A tptp.another_identity))))) (let ((_let_9 (forall ((A $$unsorted)) (or (not (tptp.subgroup_member A)) (tptp.product A (tptp.another_inverse A) tptp.another_identity))))) (let ((_let_10 (forall ((A $$unsorted)) (or (not (tptp.subgroup_member A)) (tptp.product A tptp.another_identity A))))) (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 X V W)) (tptp.product U Z W))))) (let ((_let_12 (forall ((X $$unsorted)) (tptp.product X (tptp.inverse X) tptp.identity)))) (let ((_let_13 (forall ((X $$unsorted)) (tptp.product (tptp.inverse X) X tptp.identity)))) (let ((_let_14 (forall ((X $$unsorted)) (tptp.product tptp.identity X X)))) (let ((_let_15 (tptp.another_inverse _let_1))) (let ((_let_16 (tptp.product _let_15 _let_1 tptp.another_identity))) (let ((_let_17 (= tptp.a _let_15))) (let ((_let_18 (= tptp.identity tptp.another_identity))) (let ((_let_19 (tptp.product tptp.a _let_1 tptp.identity))) (let ((_let_20 (tptp.subgroup_member _let_1))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_16))) (let ((_let_23 (_let_8))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 ((not (= (tptp.subgroup_member A) false))))) (let ((_let_26 (not _let_5))) (let ((_let_27 (or _let_26 _let_20))) (let ((_let_28 (_let_7))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 (ASSUME :args (_let_5)))) (let ((_let_31 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_26 _let_20 (not _let_27)))) _let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.another_inverse A)))) :args _let_28)) _let_29 :args (_let_27 false _let_7)) :args (_let_20 false _let_5 false _let_27)))) (let ((_let_32 (tptp.product _let_1 _let_15 tptp.another_identity))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.product _let_1 tptp.a tptp.another_identity))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33 _let_17))) (let ((_let_37 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.product A B C)) (not (tptp.product A D C)) (= B D))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (_let_37))) (let ((_let_40 ((not (= (tptp.product A B C) false)) (not (= (tptp.product A D C) false))))) (let ((_let_41 (or _let_21 _let_32))) (let ((_let_42 (_let_9))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 (or _let_26 _let_34))) (let ((_let_45 (tptp.product tptp.identity tptp.another_identity tptp.identity))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.product tptp.identity tptp.identity tptp.identity))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_48 _let_46 _let_18))) (let ((_let_50 (_let_14))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 (tptp.product _let_2 tptp.a tptp.identity))) (let ((_let_53 (not _let_52))) (let ((_let_54 (tptp.product tptp.a tptp.another_identity tptp.a))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_53 _let_55 _let_53 _let_45))) (let ((_let_57 (_let_11))) (let ((_let_58 (ASSUME :args _let_57))) (let ((_let_59 (or _let_26 _let_54))) (let ((_let_60 (_let_10))) (let ((_let_61 (ASSUME :args _let_60))) (let ((_let_62 (_let_13))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 (not _let_19))) (let ((_let_65 (tptp.product tptp.a _let_2 tptp.identity))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_66 _let_64 _let_3))) (let ((_let_68 (_let_12))) (let ((_let_69 (ASSUME :args _let_68))) (let ((_let_70 (ASSUME :args (_let_64)))) (let ((_let_71 (ASSUME :args (_let_18)))) (let ((_let_72 (ASSUME :args (_let_17)))) (let ((_let_73 (ASSUME :args (_let_16)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_70 _let_72 _let_71 _let_73) :args (_let_16 _let_17 _let_18 _let_64)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_73)) (CONG (SYMM _let_72) (REFL :args (_let_1)) (SYMM _let_71) :args (APPLY_UF tptp.product)) (FALSE_INTRO _let_70))) :args (_let_64 _let_17 _let_18 _let_16)) :args ((not (and _let_16 _let_17 _let_18 _let_64)) SB_LITERAL))) (CONG (REFL :args ((not _let_16))) (REFL :args ((not _let_17))) (REFL :args ((not _let_18))) (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_19))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_3 _let_66 _let_64 (not _let_67)))) (ASSUME :args (_let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.inverse X)))) :args _let_68)) _let_69 :args (_let_65 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.a _let_2 tptp.identity _let_1 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_39)) _let_38 :args (_let_67 false _let_37)) :args (_let_64 true _let_3 false _let_65 false _let_67)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_46 _let_48 _let_18 (not _let_49)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_56))) :args ((or _let_53 _let_55 _let_45 (not _let_56)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.inverse X)))) :args _let_62)) _let_63 :args (_let_52 false _let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_26 _let_54 (not _let_59)))) _let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subgroup_member A) false))))) :args _let_60)) _let_61 :args (_let_59 false _let_10)) :args (_let_54 false _let_5 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (_let_2 tptp.a tptp.identity tptp.another_identity tptp.a tptp.identity 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_57)) _let_58 :args (_let_56 false _let_11)) :args (_let_45 false _let_52 false _let_54 false _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.identity QUANTIFIERS_INST_ENUM)) :args _let_50)) _let_51 :args (_let_47 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.identity tptp.identity tptp.identity tptp.another_identity QUANTIFIERS_INST_ENUM)) :args _let_39)) _let_38 :args (_let_49 false _let_37)) :args (_let_18 false _let_45 false _let_47 false _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_35 _let_33 _let_17 (not _let_36)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_26 _let_34 (not _let_44)))) _let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_25)) :args _let_23)) _let_24 :args (_let_44 false _let_8)) :args (_let_34 false _let_5 false _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_21 _let_32 (not _let_41)))) _let_31 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subgroup_member A) false))))) :args _let_42)) _let_43 :args (_let_41 false _let_9)) :args (_let_32 false _let_20 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_1 tptp.a tptp.another_identity _let_15 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_39)) _let_38 :args (_let_36 false _let_37)) :args (_let_17 false _let_34 false _let_32 false _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_21 _let_16 (not _let_22)))) _let_31 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_25)) :args _let_23)) _let_24 :args (_let_22 false _let_8)) :args (_let_16 false _let_20 false _let_22)) :args (false true _let_19 false _let_18 false _let_17 false _let_16)) :args (_let_14 (forall ((X $$unsorted)) (tptp.product X tptp.identity X)) _let_13 _let_12 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.product X Y (tptp.multiply X Y))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (or (not (tptp.product X Y Z)) (not (tptp.product X Y W)) (= Z W))) (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_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.subgroup_member A)) (not (tptp.subgroup_member B)) (not (tptp.product A (tptp.inverse B) C)) (tptp.subgroup_member C))) (forall ((A $$unsorted)) (or (not (tptp.subgroup_member A)) (tptp.product tptp.another_identity A A))) _let_10 _let_9 _let_8 _let_7 _let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.product A B C)) (not (tptp.product D B C)) (= D A))) _let_5 (tptp.subgroup_member tptp.another_identity) _let_4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.57  )
% 0.21/0.57  % SZS output end Proof for GRP037-3
% 0.21/0.58  % cvc5---1.0.5 exiting
% 0.21/0.58  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------