TSTP Solution File: GRP487-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP487-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n021.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 00:26:12 EDT 2023
% Result : Unsatisfiable 0.22s 0.58s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GRP487-1 : TPTP v8.1.2. Released v2.6.0.
% 0.08/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 00:07:44 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.C2W4cLIvRi/cvc5---1.0.5_9348.p...
% 0.22/0.51 ------- get file name : TPTP file name is GRP487-1
% 0.22/0.52 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_9348.smt2...
% 0.22/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.58 % SZS status Unsatisfiable for GRP487-1
% 0.22/0.58 % SZS output start Proof for GRP487-1
% 0.22/0.59 (
% 0.22/0.59 (let ((_let_1 (tptp.inverse tptp.a1))) (let ((_let_2 (tptp.multiply _let_1 tptp.a1))) (let ((_let_3 (not (= _let_2 tptp.identity)))) (let ((_let_4 (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))))) (let ((_let_5 (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.double_divide (tptp.double_divide B A) tptp.identity))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide A tptp.identity) (tptp.double_divide B C))) B) tptp.identity)) C)))) (let ((_let_8 (= tptp.identity _let_2))) (let ((_let_9 (tptp.double_divide tptp.a1 _let_1))) (let ((_let_10 (tptp.double_divide _let_9 tptp.identity))) (let ((_let_11 (= _let_2 _let_10))) (let ((_let_12 (= tptp.identity _let_9))) (let ((_let_13 (tptp.inverse _let_9))) (let ((_let_14 (= _let_10 _let_13))) (let ((_let_15 (tptp.inverse _let_10))) (let ((_let_16 (tptp.double_divide _let_10 tptp.identity))) (let ((_let_17 (= _let_16 _let_15))) (let ((_let_18 (tptp.double_divide _let_9 _let_13))) (let ((_let_19 (= tptp.identity _let_18))) (let ((_let_20 (tptp.double_divide tptp.identity (tptp.double_divide _let_10 _let_18)))) (let ((_let_21 (= _let_13 (tptp.double_divide _let_9 (tptp.double_divide (tptp.double_divide _let_20 _let_9) tptp.identity))))) (let ((_let_22 (tptp.double_divide tptp.identity (tptp.double_divide _let_16 _let_18)))) (let ((_let_23 (tptp.double_divide (tptp.double_divide _let_22 _let_9) tptp.identity))) (let ((_let_24 (tptp.double_divide _let_10 _let_23))) (let ((_let_25 (= _let_13 _let_24))) (let ((_let_26 (tptp.inverse _let_16))) (let ((_let_27 (tptp.double_divide _let_16 tptp.identity))) (let ((_let_28 (= _let_27 _let_26))) (let ((_let_29 (tptp.double_divide _let_10 _let_15))) (let ((_let_30 (= tptp.identity _let_29))) (let ((_let_31 (= _let_15 (tptp.double_divide _let_9 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_10 _let_29)) _let_10) tptp.identity))))) (let ((_let_32 (= _let_15 (tptp.double_divide _let_20 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide _let_20 tptp.identity) _let_29)) _let_10) tptp.identity))))) (let ((_let_33 (= (tptp.multiply _let_23 _let_10) (tptp.double_divide _let_24 tptp.identity)))) (let ((_let_34 (= _let_23 (tptp.multiply _let_9 _let_22)))) (let ((_let_35 (= tptp.identity (tptp.double_divide _let_16 _let_26)))) (let ((_let_36 (= _let_23 (tptp.double_divide _let_9 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_10 _let_24)) _let_10) tptp.identity))))) (let ((_let_37 (= tptp.identity (tptp.double_divide _let_10 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_16 _let_27)) _let_16) tptp.identity))))) (let ((_let_38 (_let_6))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 (_let_4))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 ((tptp.inverse A)))) (let ((_let_43 (_let_5))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 ((tptp.double_divide A tptp.identity)))) (let ((_let_46 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide A tptp.identity) (tptp.double_divide B C))) B) tptp.identity)))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (_let_46))) (let ((_let_49 ((tptp.double_divide (tptp.double_divide A tptp.identity) (tptp.double_divide B C))))) (let ((_let_50 ((tptp.double_divide B A)))) (let ((_let_51 (and _let_11 _let_12 _let_14 _let_17 _let_19 _let_21 _let_25 _let_28 _let_30 _let_31 _let_32 _let_33 _let_34 _let_35 _let_36 _let_37))) (let ((_let_52 (ASSUME :args (_let_11)))) (let ((_let_53 (ASSUME :args (_let_14)))) (let ((_let_54 (SYMM _let_53))) (let ((_let_55 (ASSUME :args (_let_25)))) (let ((_let_56 (SYMM _let_55))) (let ((_let_57 (APPLY_UF tptp.double_divide))) (let ((_let_58 (ASSUME :args (_let_36)))) (let ((_let_59 (SYMM _let_58))) (let ((_let_60 (REFL :args (tptp.identity)))) (let ((_let_61 (REFL :args (_let_10)))) (let ((_let_62 (TRANS _let_53 _let_55))) (let ((_let_63 (ASSUME :args (_let_21)))) (let ((_let_64 (ASSUME :args (_let_30)))) (let ((_let_65 (SYMM _let_64))) (let ((_let_66 (ASSUME :args (_let_12)))) (let ((_let_67 (SYMM _let_66))) (let ((_let_68 (SYMM _let_67))) (let ((_let_69 (TRANS (CONG _let_68 (CONG (CONG (REFL :args (_let_20)) _let_68 :args _let_57) _let_65 :args _let_57) :args _let_57) (SYMM _let_63) _let_54))) (let ((_let_70 (ASSUME :args (_let_17)))) (let ((_let_71 (SYMM _let_70))) (let ((_let_72 (SYMM _let_71))) (let ((_let_73 (ASSUME :args (_let_35)))) (let ((_let_74 (ASSUME :args (_let_28)))) (let ((_let_75 (SYMM _let_69))) (let ((_let_76 (CONG _let_75 (CONG (TRANS (CONG (CONG _let_68 (TRANS (CONG (REFL :args (_let_16)) (SYMM (SYMM _let_74)) :args _let_57) (SYMM _let_73)) :args _let_57) _let_72 :args _let_57) _let_65 _let_68) _let_60 :args _let_57) :args _let_57))) (let ((_let_77 (ASSUME :args (_let_37)))) (let ((_let_78 (SYMM _let_77))) (let ((_let_79 (SYMM _let_78))) (let ((_let_80 (CONG (REFL :args (_let_9)) (TRANS _let_54 (CONG (TRANS _let_67 _let_79 _let_76 (CONG (TRANS _let_69 (CONG _let_67 (TRANS _let_79 _let_76 (CONG _let_69 _let_62 :args _let_57)) :args _let_57)) _let_61 :args _let_57)) _let_60 :args _let_57)) :args _let_57))) (let ((_let_81 (ASSUME :args (_let_19)))) (let ((_let_82 (SYMM _let_81))) (let ((_let_83 (SYMM _let_82))) (let ((_let_84 (CONG _let_61 (TRANS _let_67 _let_83 _let_80 _let_59) :args _let_57))) (let ((_let_85 (ASSUME :args (_let_33)))) (let ((_let_86 (APPLY_UF tptp.multiply))) (let ((_let_87 (ASSUME :args (_let_31)))) (let ((_let_88 (CONG (TRANS (CONG _let_68 (TRANS (CONG _let_61 _let_72 :args _let_57) _let_65) :args _let_57) _let_75) _let_61 :args _let_57))) (let ((_let_89 (ASSUME :args (_let_32)))) (let ((_let_90 (ASSUME :args (_let_34)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_51)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_52 _let_53 _let_55 _let_58 _let_66 _let_63 _let_81 _let_64 _let_73 _let_74 _let_70 _let_77 _let_85 _let_87 _let_89 _let_90) (SCOPE (TRANS _let_83 _let_80 _let_59 (SYMM (SYMM _let_90)) (CONG _let_67 (TRANS (CONG _let_68 (CONG (TRANS _let_72 (SYMM (SYMM _let_89)) (CONG (TRANS (SYMM (CONG _let_60 (CONG _let_61 (TRANS _let_67 _let_83) :args _let_57) :args _let_57)) (CONG _let_60 (CONG _let_61 (TRANS _let_67 _let_64) :args _let_57) :args _let_57)) (TRANS (CONG (SYMM _let_88) _let_60 :args _let_57) (CONG (TRANS _let_88 (SYMM _let_76) _let_78 _let_68) _let_60 :args _let_57)) :args _let_57)) _let_82 :args _let_57) :args _let_57) (SYMM _let_87) _let_71 (CONG _let_61 _let_68 :args _let_57) _let_84 _let_56 _let_54) :args _let_86) (CONG (TRANS _let_83 _let_80 _let_59) _let_61 :args _let_86) (SYMM (SYMM _let_85)) (CONG (SYMM _let_62) _let_68 :args _let_57) _let_84 _let_56 _let_54 (SYMM _let_52)) :args (_let_11 _let_14 _let_25 _let_36 _let_12 _let_21 _let_19 _let_30 _let_35 _let_28 _let_17 _let_37 _let_33 _let_31 _let_32 _let_34))) :args (_let_11 _let_12 _let_14 _let_17 _let_19 _let_21 _let_25 _let_28 _let_30 _let_31 _let_32 _let_33 _let_34 _let_35 _let_36 _let_37))) :args (true _let_51)) :args ((or _let_8 (not _let_11) (not _let_12) (not _let_14) (not _let_17) (not _let_19) (not _let_21) (not _let_25) (not _let_28) (not _let_30) (not _let_31) (not _let_32) (not _let_33) (not _let_34) (not _let_35) (not _let_36) (not _let_37)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_10 _let_16 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_48)) _let_47 :args (_let_37 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_9 _let_10 _let_23 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_48)) _let_47 :args (_let_36 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_40)) _let_41 :args (_let_35 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_9 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_50)) :args _let_38))) _let_39 :args (_let_34 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_23 _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_50)) :args _let_38)) _let_39 :args (_let_33 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_20 _let_10 _let_15 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_48)) _let_47 :args (_let_32 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_9 _let_10 _let_15 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_48)) _let_47 :args (_let_31 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_40)) _let_41 :args (_let_30 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_43))) _let_44 :args (_let_28 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_10 _let_9 _let_13 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_48)) _let_47 :args (_let_25 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_9 _let_9 _let_13 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_48)) _let_47 :args (_let_21 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_40)) _let_41 :args (_let_19 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_43))) _let_44 :args (_let_17 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_43))) _let_44 :args (_let_14 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.a1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_40)) _let_41 :args (_let_12 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_1 tptp.a1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiply A B)))) :args _let_38)) _let_39 :args (_let_11 false _let_6)) (SYMM (ASSUME :args (_let_3))) :args (false false _let_37 false _let_36 false _let_35 false _let_34 false _let_33 false _let_32 false _let_31 false _let_30 false _let_28 false _let_25 false _let_21 false _let_19 false _let_17 false _let_14 false _let_12 false _let_11 true _let_8)) :args (_let_7 _let_6 _let_5 _let_4 _let_3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.59 )
% 0.22/0.59 % SZS output end Proof for GRP487-1
% 0.22/0.60 % cvc5---1.0.5 exiting
% 0.22/0.60 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------