TSTP Solution File: GRP581-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP581-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n002.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 00:26:30 EDT 2023
% Result : Unsatisfiable 0.20s 0.54s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP581-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 : Mon Aug 28 19:58:34 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.datSI8ByLm/cvc5---1.0.5_17776.p...
% 0.20/0.49 ------- get file name : TPTP file name is GRP581-1
% 0.20/0.49 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_17776.smt2...
% 0.20/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.54 % SZS status Unsatisfiable for GRP581-1
% 0.20/0.54 % SZS output start Proof for GRP581-1
% 0.20/0.55 (
% 0.20/0.55 (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 (tptp.double_divide A (tptp.double_divide (tptp.double_divide tptp.identity B) (tptp.double_divide C (tptp.double_divide B A)))) (tptp.double_divide tptp.identity 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.double_divide tptp.identity tptp.identity))) (let ((_let_14 (tptp.double_divide _let_1 (tptp.double_divide (tptp.double_divide tptp.identity tptp.a1) (tptp.double_divide _let_9 _let_9))))) (let ((_let_15 (tptp.double_divide _let_14 _let_13))) (let ((_let_16 (= _let_9 _let_15))) (let ((_let_17 (tptp.inverse _let_9))) (let ((_let_18 (= _let_10 _let_17))) (let ((_let_19 (tptp.double_divide tptp.identity _let_14))) (let ((_let_20 (tptp.double_divide _let_13 (tptp.double_divide _let_19 (tptp.double_divide _let_9 _let_15))))) (let ((_let_21 (= _let_9 (tptp.double_divide _let_20 _let_13)))) (let ((_let_22 (tptp.double_divide _let_13 (tptp.double_divide _let_19 (tptp.double_divide _let_10 _let_15))))) (let ((_let_23 (tptp.double_divide _let_22 _let_13))) (let ((_let_24 (= _let_10 _let_23))) (let ((_let_25 (tptp.inverse _let_10))) (let ((_let_26 (tptp.double_divide _let_10 tptp.identity))) (let ((_let_27 (= _let_26 _let_25))) (let ((_let_28 (= tptp.identity (tptp.double_divide _let_9 _let_17)))) (let ((_let_29 (tptp.double_divide tptp.identity _let_22))) (let ((_let_30 (= _let_14 (tptp.double_divide (tptp.double_divide _let_13 (tptp.double_divide _let_29 (tptp.double_divide _let_14 _let_23))) _let_13)))) (let ((_let_31 (= _let_19 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity _let_10) (tptp.double_divide _let_19 _let_26))) _let_13)))) (let ((_let_32 (= _let_9 (tptp.double_divide (tptp.double_divide _let_13 (tptp.double_divide _let_29 (tptp.double_divide _let_9 _let_23))) _let_13)))) (let ((_let_33 (= tptp.identity (tptp.double_divide _let_10 _let_25)))) (let ((_let_34 (_let_6))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (_let_4))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 ((tptp.inverse A)))) (let ((_let_39 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide tptp.identity B) (tptp.double_divide C (tptp.double_divide B A)))) (tptp.double_divide tptp.identity tptp.identity)))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (_let_39))) (let ((_let_42 ((tptp.double_divide C (tptp.double_divide B 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 (and _let_11 _let_12 _let_16 _let_18 _let_21 _let_24 _let_27 _let_28 _let_30 _let_31 _let_32 _let_33))) (let ((_let_47 (ASSUME :args (_let_11)))) (let ((_let_48 (APPLY_UF tptp.double_divide))) (let ((_let_49 (REFL :args (tptp.identity)))) (let ((_let_50 (ASSUME :args (_let_12)))) (let ((_let_51 (SYMM _let_50))) (let ((_let_52 (SYMM _let_51))) (let ((_let_53 (CONG _let_52 _let_49 :args _let_48))) (let ((_let_54 (ASSUME :args (_let_32)))) (let ((_let_55 (REFL :args (_let_13)))) (let ((_let_56 (ASSUME :args (_let_24)))) (let ((_let_57 (SYMM _let_56))) (let ((_let_58 (ASSUME :args (_let_18)))) (let ((_let_59 (SYMM _let_58))) (let ((_let_60 (ASSUME :args (_let_28)))) (let ((_let_61 (SYMM _let_60))) (let ((_let_62 (SYMM _let_61))) (let ((_let_63 (ASSUME :args (_let_16)))) (let ((_let_64 (SYMM _let_53))) (let ((_let_65 (REFL :args (_let_14)))) (let ((_let_66 (CONG _let_65 _let_64 :args _let_48))) (let ((_let_67 (CONG _let_65 _let_57 :args _let_48))) (let ((_let_68 (REFL :args (_let_29)))) (let ((_let_69 (ASSUME :args (_let_21)))) (let ((_let_70 (CONG _let_55 (CONG _let_68 (TRANS (CONG (REFL :args (_let_20)) (TRANS _let_57 _let_64) :args _let_48) (SYMM _let_69) _let_63 (SYMM _let_66) (SYMM _let_67)) :args _let_48) :args _let_48))) (let ((_let_71 (ASSUME :args (_let_30)))) (let ((_let_72 (CONG _let_49 (TRANS (SYMM (SYMM _let_71)) (CONG (SYMM _let_70) _let_55 :args _let_48) (CONG (TRANS _let_70 (CONG _let_55 (CONG _let_68 (TRANS _let_67 _let_66 (SYMM _let_63) _let_51 _let_62 (CONG (REFL :args (_let_9)) (TRANS _let_59 (SYMM _let_57)) :args _let_48)) :args _let_48) :args _let_48)) _let_55 :args _let_48) (SYMM _let_54) _let_51) :args _let_48))) (let ((_let_73 (ASSUME :args (_let_31)))) (let ((_let_74 (CONG (REFL :args (_let_10)) _let_61 :args _let_48))) (let ((_let_75 (TRANS (CONG _let_49 _let_51 :args _let_48) _let_53))) (let ((_let_76 (ASSUME :args (_let_27)))) (let ((_let_77 (ASSUME :args (_let_33)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_46)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_47 _let_50 _let_54 _let_56 _let_58 _let_60 _let_63 _let_69 _let_71 _let_73 _let_76 _let_77) (SCOPE (TRANS _let_62 (CONG (TRANS _let_51 _let_62 (CONG _let_51 (TRANS _let_59 _let_64 (CONG (TRANS _let_52 (TRANS _let_51 _let_62 (CONG _let_51 _let_59 :args _let_48))) (TRANS (SYMM (SYMM _let_77)) (CONG (SYMM _let_75) (TRANS (SYMM _let_76) (SYMM _let_74)) :args _let_48) (CONG (TRANS _let_75 (TRANS _let_64 (SYMM _let_72))) _let_74 :args _let_48)) :args _let_48)) :args _let_48)) (TRANS _let_59 _let_64) :args _let_48) (SYMM _let_73) _let_72 _let_53 (SYMM _let_47)) :args (_let_11 _let_12 _let_32 _let_24 _let_18 _let_28 _let_16 _let_21 _let_30 _let_31 _let_27 _let_33))) :args (_let_11 _let_12 _let_16 _let_18 _let_21 _let_24 _let_27 _let_28 _let_30 _let_31 _let_32 _let_33))) :args (true _let_46)) :args ((or _let_8 (not _let_11) (not _let_12) (not _let_16) (not _let_18) (not _let_21) (not _let_24) (not _let_27) (not _let_28) (not _let_30) (not _let_31) (not _let_32) (not _let_33)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_36)) _let_37 :args (_let_33 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_13 _let_22 _let_9 QUANTIFIERS_INST_E_MATCHING _let_42)) :args _let_41)) _let_40 :args (_let_32 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.identity _let_10 _let_19 QUANTIFIERS_INST_E_MATCHING _let_42)) :args _let_41)) _let_40 :args (_let_31 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_13 _let_22 _let_14 QUANTIFIERS_INST_E_MATCHING _let_42)) :args _let_41)) _let_40 :args (_let_30 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_36)) _let_37 :args (_let_28 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_27 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_13 _let_14 _let_10 QUANTIFIERS_INST_E_MATCHING _let_42)) :args _let_41)) _let_40 :args (_let_24 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_13 _let_14 _let_9 QUANTIFIERS_INST_E_MATCHING _let_42)) :args _let_41)) _let_40 :args (_let_21 false _let_39)) (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_18 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_1 tptp.a1 _let_9 QUANTIFIERS_INST_E_MATCHING _let_42)) :args _let_41)) _let_40 :args (_let_16 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.a1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_36)) _let_37 :args (_let_12 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_1 tptp.a1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiply A B)))) :args _let_34)) _let_35 :args (_let_11 false _let_6)) (SYMM (ASSUME :args (_let_3))) :args (false false _let_33 false _let_32 false _let_31 false _let_30 false _let_28 false _let_27 false _let_24 false _let_21 false _let_18 false _let_16 false _let_12 false _let_11 true _let_8)) :args (_let_7 _let_6 _let_5 _let_4 _let_3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.55 )
% 0.20/0.55 % SZS output end Proof for GRP581-1
% 0.20/0.55 % cvc5---1.0.5 exiting
% 0.20/0.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------