TSTP Solution File: GRP482-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP482-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n017.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 00:26:11 EDT 2023
% Result : Unsatisfiable 0.81s 0.99s
% Output : Proof 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP482-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 19:32:13 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.4LClgJqdnx/cvc5---1.0.5_10532.p...
% 0.22/0.51 ------- get file name : TPTP file name is GRP482-1
% 0.22/0.52 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_10532.smt2...
% 0.22/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.81/0.99 % SZS status Unsatisfiable for GRP482-1
% 0.81/0.99 % SZS output start Proof for GRP482-1
% 0.81/0.99 (
% 0.81/0.99 (let ((_let_1 (tptp.multiply tptp.identity tptp.a2))) (let ((_let_2 (not (= _let_1 tptp.a2)))) (let ((_let_3 (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))))) (let ((_let_4 (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.double_divide (tptp.double_divide B A) tptp.identity))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide A (tptp.double_divide B tptp.identity)) (tptp.double_divide (tptp.double_divide C (tptp.double_divide D (tptp.double_divide D tptp.identity))) (tptp.double_divide A tptp.identity))) B) C)))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= C (tptp.double_divide (tptp.double_divide (tptp.double_divide A (tptp.double_divide B tptp.identity)) (tptp.double_divide (tptp.double_divide C (tptp.double_divide D (tptp.double_divide D tptp.identity))) (tptp.double_divide A tptp.identity))) B))))) (let ((_let_8 (tptp.double_divide tptp.a2 tptp.identity))) (let ((_let_9 (tptp.double_divide _let_8 tptp.identity))) (let ((_let_10 (tptp.double_divide _let_9 tptp.identity))) (let ((_let_11 (tptp.double_divide _let_10 tptp.identity))) (let ((_let_12 (tptp.double_divide _let_11 tptp.identity))) (let ((_let_13 (tptp.double_divide _let_12 tptp.identity))) (let ((_let_14 (tptp.double_divide _let_13 tptp.identity))) (let ((_let_15 (tptp.double_divide _let_8 _let_8))) (let ((_let_16 (= _let_9 (tptp.double_divide (tptp.double_divide _let_15 (tptp.double_divide (tptp.double_divide _let_9 (tptp.double_divide _let_13 _let_14)) _let_9)) tptp.a2)))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (tptp.inverse _let_13))) (let ((_let_19 (= tptp.identity (tptp.double_divide _let_13 _let_18)))) (let ((_let_20 (tptp.double_divide _let_10 _let_11))) (let ((_let_21 (tptp.double_divide _let_20 (tptp.double_divide (tptp.double_divide _let_9 _let_20) _let_11)))) (let ((_let_22 (tptp.double_divide _let_8 _let_9))) (let ((_let_23 (tptp.double_divide _let_21 _let_10))) (let ((_let_24 (= _let_22 (tptp.double_divide (tptp.double_divide _let_23 (tptp.double_divide (tptp.double_divide _let_22 (tptp.double_divide _let_12 _let_13)) (tptp.double_divide _let_21 tptp.identity))) _let_9)))) (let ((_let_25 (tptp.inverse _let_12))) (let ((_let_26 (= tptp.identity (tptp.double_divide _let_12 _let_25)))) (let ((_let_27 (tptp.double_divide _let_22 (tptp.double_divide (tptp.double_divide tptp.a2 _let_22) _let_9)))) (let ((_let_28 (tptp.inverse _let_27))) (let ((_let_29 (= tptp.identity (tptp.double_divide _let_27 _let_28)))) (let ((_let_30 (= _let_14 _let_18))) (let ((_let_31 (= tptp.a2 (tptp.double_divide (tptp.double_divide _let_15 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide _let_11 _let_12)) _let_9)) tptp.a2)))) (let ((_let_32 (tptp.inverse _let_11))) (let ((_let_33 (= tptp.identity (tptp.double_divide _let_11 _let_32)))) (let ((_let_34 (= _let_13 _let_25))) (let ((_let_35 (= (tptp.double_divide _let_27 tptp.identity) _let_28))) (let ((_let_36 (= _let_9 _let_23))) (let ((_let_37 (tptp.inverse _let_10))) (let ((_let_38 (= tptp.identity (tptp.double_divide _let_10 _let_37)))) (let ((_let_39 (= _let_12 _let_32))) (let ((_let_40 (= _let_11 _let_37))) (let ((_let_41 (tptp.inverse _let_8))) (let ((_let_42 (= tptp.identity (tptp.double_divide _let_8 _let_41)))) (let ((_let_43 (= tptp.identity (tptp.double_divide tptp.a2 (tptp.inverse tptp.a2))))) (let ((_let_44 (= _let_9 _let_41))) (let ((_let_45 (= _let_1 _let_9))) (let ((_let_46 (= tptp.a2 _let_1))) (let ((_let_47 (not _let_16))) (let ((_let_48 (_let_3))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 ((tptp.inverse A)))) (let ((_let_51 (_let_7))) (let ((_let_52 (tptp.double_divide (tptp.double_divide C (tptp.double_divide D (tptp.double_divide D tptp.identity))) (tptp.double_divide A tptp.identity)))) (let ((_let_53 (tptp.double_divide B tptp.identity))) (let ((_let_54 ((tptp.double_divide (tptp.double_divide A _let_53) _let_52)))) (let ((_let_55 (_let_4))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 ((tptp.double_divide A tptp.identity)))) (let ((_let_58 (_let_5))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 (SYMM (ASSUME :args (_let_2))))) (let ((_let_61 (not _let_46))) (let ((_let_62 (and _let_61 _let_45 _let_44 _let_43 _let_42 _let_40 _let_39 _let_38 _let_36 _let_35 _let_34 _let_33 _let_31 _let_30 _let_29 _let_26 _let_24 _let_19))) (let ((_let_63 (ASSUME :args (_let_45)))) (let ((_let_64 (ASSUME :args (_let_31)))) (let ((_let_65 (APPLY_UF tptp.double_divide))) (let ((_let_66 (REFL :args (tptp.a2)))) (let ((_let_67 (ASSUME :args (_let_44)))) (let ((_let_68 (ASSUME :args (_let_39)))) (let ((_let_69 (ASSUME :args (_let_33)))) (let ((_let_70 (ASSUME :args (_let_42)))) (let ((_let_71 (SYMM _let_70))) (let ((_let_72 (SYMM _let_71))) (let ((_let_73 (REFL :args (_let_15)))) (let ((_let_74 (CONG (REFL :args (_let_8)) _let_67 :args _let_65))) (let ((_let_75 (ASSUME :args (_let_24)))) (let ((_let_76 (REFL :args (_let_9)))) (let ((_let_77 (ASSUME :args (_let_40)))) (let ((_let_78 (SYMM _let_77))) (let ((_let_79 (CONG (REFL :args (_let_10)) _let_78 :args _let_65))) (let ((_let_80 (ASSUME :args (_let_38)))) (let ((_let_81 (SYMM (SYMM _let_80)))) (let ((_let_82 (ASSUME :args (_let_43)))) (let ((_let_83 (TRANS (SYMM _let_82) _let_72 (SYMM _let_74)))) (let ((_let_84 (CONG (SYMM _let_83) (TRANS (CONG (CONG _let_66 (TRANS _let_74 _let_71) :args _let_65) _let_67 :args _let_65) _let_71) :args _let_65))) (let ((_let_85 (ASSUME :args (_let_35)))) (let ((_let_86 (ASSUME :args (_let_34)))) (let ((_let_87 (ASSUME :args (_let_26)))) (let ((_let_88 (ASSUME :args (_let_29)))) (let ((_let_89 (ASSUME :args (_let_36)))) (let ((_let_90 (ASSUME :args (_let_19)))) (let ((_let_91 (ASSUME :args (_let_30)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_8 tptp.a2 _let_9 _let_13 QUANTIFIERS_INST_E_MATCHING _let_54)) :args _let_51)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_62)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_64 _let_68 _let_69 _let_67 _let_70 _let_75 _let_89 _let_82 _let_86 _let_87 _let_77 _let_80 _let_85 _let_88 _let_90 _let_91 _let_60 _let_63) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG (TRANS (CONG _let_73 (TRANS (CONG (TRANS (CONG _let_76 (TRANS (CONG (REFL :args (_let_13)) (SYMM (SYMM _let_91)) :args _let_65) (SYMM _let_90)) :args _let_65) (CONG (SYMM (SYMM _let_89)) (TRANS (SYMM (SYMM _let_88)) (CONG (TRANS _let_84 (CONG _let_83 (TRANS (SYMM (SYMM _let_87)) (CONG (REFL :args (_let_12)) (SYMM _let_86) :args _let_65)) :args _let_65)) (TRANS (SYMM _let_85) (CONG (TRANS _let_84 (CONG (TRANS _let_83 (TRANS _let_74 _let_71 _let_81 _let_79)) (TRANS _let_81 (CONG (CONG _let_76 (TRANS _let_81 _let_79) :args _let_65) _let_78 :args _let_65)) :args _let_65)) (REFL :args (tptp.identity)) :args _let_65)) :args _let_65)) :args _let_65)) _let_76 :args _let_65) (SYMM _let_75) _let_74 _let_71) :args _let_65) (CONG _let_73 (TRANS _let_72 (CONG (CONG _let_66 (TRANS (SYMM (SYMM _let_69)) (CONG (REFL :args (_let_11)) (SYMM _let_68) :args _let_65)) :args _let_65) (SYMM _let_67) :args _let_65)) :args _let_65)) _let_66 :args _let_65) (SYMM _let_64)) (SYMM _let_63) :args (=)) (FALSE_INTRO _let_60)) :args ((= _let_16 false)))) :args (_let_31 _let_39 _let_33 _let_44 _let_42 _let_24 _let_36 _let_43 _let_34 _let_26 _let_40 _let_38 _let_35 _let_29 _let_19 _let_30 _let_61 _let_45))) :args (_let_61 _let_45 _let_44 _let_43 _let_42 _let_40 _let_39 _let_38 _let_36 _let_35 _let_34 _let_33 _let_31 _let_30 _let_29 _let_26 _let_24 _let_19))) :args (true _let_62)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_46))) (REFL :args ((not _let_45))) (REFL :args ((not _let_44))) (REFL :args ((not _let_43))) (REFL :args ((not _let_42))) (REFL :args ((not _let_40))) (REFL :args ((not _let_39))) (REFL :args ((not _let_38))) (REFL :args ((not _let_36))) (REFL :args ((not _let_35))) (REFL :args ((not _let_34))) (REFL :args ((not _let_33))) (REFL :args ((not _let_31))) (REFL :args ((not _let_30))) (REFL :args ((not _let_29))) (REFL :args ((not _let_26))) (REFL :args ((not _let_24))) (REFL :args ((not _let_19))) (REFL :args (_let_47)) :args (or))) _let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.identity tptp.a2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiply A B)))) :args _let_58)) _let_59 :args (_let_45 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_55))) _let_56 :args (_let_44 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.a2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_50)) :args _let_48)) _let_49 :args (_let_43 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_50)) :args _let_48)) _let_49 :args (_let_42 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_55))) _let_56 :args (_let_40 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_55))) _let_56 :args (_let_39 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_50)) :args _let_48)) _let_49 :args (_let_38 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_10 _let_10 _let_9 _let_10 QUANTIFIERS_INST_E_MATCHING _let_54)) :args _let_51)) _let_17 :args (_let_36 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_55))) _let_56 :args (_let_35 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_55))) _let_56 :args (_let_34 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_50)) :args _let_48)) _let_49 :args (_let_33 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_8 tptp.a2 tptp.a2 _let_11 QUANTIFIERS_INST_E_MATCHING (_let_52 _let_53))) :args _let_51)) _let_17 :args (_let_31 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_55))) _let_56 :args (_let_30 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_50)) :args _let_48)) _let_49 :args (_let_29 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_50)) :args _let_48)) _let_49 :args (_let_26 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_21 _let_9 _let_22 _let_12 QUANTIFIERS_INST_E_MATCHING _let_54)) :args _let_51)) _let_17 :args (_let_24 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_50)) :args _let_48)) _let_49 :args (_let_19 false _let_3)) :args (_let_47 true _let_46 false _let_45 false _let_44 false _let_43 false _let_42 false _let_40 false _let_39 false _let_38 false _let_36 false _let_35 false _let_34 false _let_33 false _let_31 false _let_30 false _let_29 false _let_26 false _let_24 false _let_19)) _let_17 :args (false true _let_16 false _let_7)) :args (_let_6 _let_5 _let_4 _let_3 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.81/0.99 )
% 0.81/1.00 % SZS output end Proof for GRP482-1
% 0.81/1.00 % cvc5---1.0.5 exiting
% 0.81/1.00 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------