TSTP Solution File: GRP526-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP526-1 : 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 00:26:18 EDT 2023
% Result : Unsatisfiable 0.20s 0.55s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP526-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n017.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 01:09:43 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.1bw38cgy47/cvc5---1.0.5_14402.p...
% 0.20/0.50 ------- get file name : TPTP file name is GRP526-1
% 0.20/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_14402.smt2...
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.55 % SZS status Unsatisfiable for GRP526-1
% 0.20/0.55 % SZS output start Proof for GRP526-1
% 0.20/0.55 (
% 0.20/0.55 (let ((_let_1 (tptp.inverse tptp.b2))) (let ((_let_2 (tptp.multiply _let_1 tptp.b2))) (let ((_let_3 (tptp.multiply _let_2 tptp.a2))) (let ((_let_4 (not (= _let_3 tptp.a2)))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.inverse A) (tptp.divide (tptp.divide B B) A))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply A B) (tptp.divide A (tptp.divide (tptp.divide C C) B)))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.divide A (tptp.divide (tptp.divide A B) (tptp.divide C B))) C)))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.divide A (tptp.divide (tptp.divide A B) (tptp.divide C B))))))) (let ((_let_9 (tptp.divide tptp.b2 tptp.b2))) (let ((_let_10 (tptp.divide _let_9 _let_9))) (let ((_let_11 (= tptp.a2 (tptp.divide _let_9 (tptp.divide _let_10 (tptp.divide tptp.a2 _let_9)))))) (let ((_let_12 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_13 (tptp.divide _let_1 _let_1))) (let ((_let_14 (tptp.divide _let_13 tptp.b2))) (let ((_let_15 (= _let_13 (tptp.divide tptp.b2 (tptp.divide _let_9 _let_14))))) (let ((_let_16 (tptp.divide tptp.a2 tptp.a2))) (let ((_let_17 (= tptp.a2 (tptp.divide tptp.a2 (tptp.divide _let_16 _let_16))))) (let ((_let_18 (tptp.divide _let_10 (tptp.divide tptp.b2 _let_9)))) (let ((_let_19 (tptp.divide _let_9 _let_18))) (let ((_let_20 (= _let_9 (tptp.divide _let_9 (tptp.divide _let_19 _let_19))))) (let ((_let_21 (= _let_1 _let_14))) (let ((_let_22 (tptp.divide _let_9 tptp.a2))) (let ((_let_23 (= _let_3 (tptp.divide _let_2 _let_22)))) (let ((_let_24 (= tptp.b2 _let_19))) (let ((_let_25 (tptp.divide tptp.b2 _let_10))) (let ((_let_26 (tptp.divide _let_25 _let_25))) (let ((_let_27 (tptp.divide tptp.b2 _let_26))) (let ((_let_28 (= _let_16 (tptp.divide tptp.b2 (tptp.divide _let_27 (tptp.divide _let_16 _let_26)))))) (let ((_let_29 (tptp.inverse _let_9))) (let ((_let_30 (= _let_29 (tptp.divide _let_16 _let_9)))) (let ((_let_31 (= _let_1 (tptp.divide _let_10 tptp.b2)))) (let ((_let_32 (tptp.divide _let_9 tptp.b2))) (let ((_let_33 (= _let_2 (tptp.divide _let_1 _let_32)))) (let ((_let_34 (= _let_10 _let_29))) (let ((_let_35 (= tptp.b2 _let_27))) (let ((_let_36 (= _let_1 _let_32))) (let ((_let_37 (= tptp.b2 _let_25))) (let ((_let_38 (= tptp.a2 _let_3))) (let ((_let_39 (not _let_11))) (let ((_let_40 (_let_8))) (let ((_let_41 ((tptp.divide (tptp.divide A B) (tptp.divide C B))))) (let ((_let_42 (_let_5))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 (tptp.divide B B))) (let ((_let_45 ((tptp.inverse A) _let_44))) (let ((_let_46 (_let_6))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 ((tptp.multiply A B) (tptp.divide C C)))) (let ((_let_49 (SYMM (ASSUME :args (_let_4))))) (let ((_let_50 (not _let_38))) (let ((_let_51 (and _let_50 _let_37 _let_36 _let_35 _let_34 _let_33 _let_31 _let_30 _let_28 _let_24 _let_23 _let_21 _let_20 _let_17 _let_15))) (let ((_let_52 (ASSUME :args (_let_23)))) (let ((_let_53 (APPLY_UF tptp.divide))) (let ((_let_54 (ASSUME :args (_let_33)))) (let ((_let_55 (SYMM _let_54))) (let ((_let_56 (ASSUME :args (_let_36)))) (let ((_let_57 (ASSUME :args (_let_31)))) (let ((_let_58 (SYMM _let_57))) (let ((_let_59 (CONG _let_58 (TRANS _let_58 (SYMM (SYMM _let_56))) :args _let_53))) (let ((_let_60 (CONG _let_57 _let_57 :args _let_53))) (let ((_let_61 (TRANS _let_60 _let_59 _let_55))) (let ((_let_62 (REFL :args (tptp.a2)))) (let ((_let_63 (ASSUME :args (_let_20)))) (let ((_let_64 (ASSUME :args (_let_24)))) (let ((_let_65 (SYMM (SYMM _let_64)))) (let ((_let_66 (REFL :args (_let_9)))) (let ((_let_67 (CONG _let_66 (CONG _let_65 _let_65 :args _let_53) :args _let_53))) (let ((_let_68 (TRANS _let_67 (SYMM _let_63)))) (let ((_let_69 (CONG _let_68 _let_62 :args _let_53))) (let ((_let_70 (ASSUME :args (_let_15)))) (let ((_let_71 (ASSUME :args (_let_21)))) (let ((_let_72 (ASSUME :args (_let_35)))) (let ((_let_73 (SYMM _let_72))) (let ((_let_74 (ASSUME :args (_let_37)))) (let ((_let_75 (SYMM _let_74))) (let ((_let_76 (SYMM _let_75))) (let ((_let_77 (CONG _let_76 _let_76 :args _let_53))) (let ((_let_78 (REFL :args (tptp.b2)))) (let ((_let_79 (ASSUME :args (_let_34)))) (let ((_let_80 (ASSUME :args (_let_30)))) (let ((_let_81 (ASSUME :args (_let_28)))) (let ((_let_82 (TRANS (SYMM (SYMM _let_81)) (CONG _let_78 (TRANS (CONG _let_73 (TRANS (CONG (REFL :args (_let_16)) (SYMM _let_77) :args _let_53) (SYMM _let_80) (SYMM _let_79)) :args _let_53) _let_75) :args _let_53)))) (let ((_let_83 (ASSUME :args (_let_17)))) (let ((_let_84 (SYMM _let_82))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (_let_9 _let_9 tptp.a2 QUANTIFIERS_INST_E_MATCHING _let_41)) :args _let_40)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_51)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_49 _let_52 _let_54 _let_57 _let_56 _let_70 _let_71 _let_72 _let_74 _let_64 _let_79 _let_80 _let_81 _let_63 _let_83) (SCOPE (FALSE_ELIM (TRANS (CONG _let_62 (TRANS (CONG _let_84 (TRANS (CONG _let_68 (TRANS (CONG _let_62 (TRANS _let_63 (SYMM _let_67) (CONG _let_84 _let_84 :args _let_53)) :args _let_53) (SYMM _let_83)) :args _let_53) (SYMM _let_69)) :args _let_53) (CONG (TRANS _let_82 (TRANS (CONG _let_78 (TRANS _let_65 (CONG _let_66 (TRANS (CONG (REFL :args (_let_10)) (TRANS (CONG _let_78 _let_77 :args _let_53) _let_73) :args _let_53) _let_58 (SYMM (SYMM _let_71))) :args _let_53)) :args _let_53) (SYMM _let_70) _let_60 _let_59 _let_55) (SYMM _let_61)) _let_69 :args _let_53) (CONG _let_61 (REFL :args (_let_22)) :args _let_53) (SYMM _let_52)) :args (=)) (FALSE_INTRO _let_49))) :args (_let_50 _let_23 _let_33 _let_31 _let_36 _let_15 _let_21 _let_35 _let_37 _let_24 _let_34 _let_30 _let_28 _let_20 _let_17))) :args (_let_50 _let_37 _let_36 _let_35 _let_34 _let_33 _let_31 _let_30 _let_28 _let_24 _let_23 _let_21 _let_20 _let_17 _let_15))) :args (true _let_51)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_38))) (REFL :args ((not _let_37))) (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_28))) (REFL :args ((not _let_24))) (REFL :args ((not _let_23))) (REFL :args ((not _let_21))) (REFL :args ((not _let_20))) (REFL :args ((not _let_17))) (REFL :args ((not _let_15))) (REFL :args (_let_39)) :args (or))) _let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (tptp.b2 tptp.b2 tptp.b2 QUANTIFIERS_INST_ENUM)) :args _let_40)) _let_12 :args (_let_37 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.b2 tptp.b2 QUANTIFIERS_INST_ENUM)) :args _let_42)) _let_43 :args (_let_36 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (tptp.b2 _let_10 tptp.b2 QUANTIFIERS_INST_E_MATCHING _let_41)) :args _let_40)) _let_12 :args (_let_35 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_9 tptp.b2 QUANTIFIERS_INST_E_MATCHING ((tptp.divide _let_44 A)))) :args _let_42))) _let_43 :args (_let_34 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_1 tptp.b2 tptp.b2 QUANTIFIERS_INST_E_MATCHING _let_48)) :args _let_46)) _let_47 :args (_let_33 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.b2 _let_9 QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_42)) _let_43 :args (_let_31 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_9 tptp.a2 QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_42)) _let_43 :args (_let_30 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (tptp.b2 _let_26 _let_16 QUANTIFIERS_INST_E_MATCHING _let_41)) :args _let_40)) _let_12 :args (_let_28 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (_let_9 _let_9 tptp.b2 QUANTIFIERS_INST_E_MATCHING _let_41)) :args _let_40)) _let_12 :args (_let_24 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_2 tptp.a2 tptp.b2 QUANTIFIERS_INST_E_MATCHING _let_48)) :args _let_46)) _let_47 :args (_let_23 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.b2 _let_1 QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_42)) _let_43 :args (_let_21 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (_let_9 _let_18 _let_9 QUANTIFIERS_INST_E_MATCHING _let_41)) :args _let_40)) _let_12 :args (_let_20 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (tptp.a2 tptp.a2 tptp.a2 QUANTIFIERS_INST_E_MATCHING _let_41)) :args _let_40)) _let_12 :args (_let_17 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (tptp.b2 tptp.b2 _let_13 QUANTIFIERS_INST_E_MATCHING _let_41)) :args _let_40)) _let_12 :args (_let_15 false _let_8)) :args (_let_39 true _let_38 false _let_37 false _let_36 false _let_35 false _let_34 false _let_33 false _let_31 false _let_30 false _let_28 false _let_24 false _let_23 false _let_21 false _let_20 false _let_17 false _let_15)) _let_12 :args (false true _let_11 false _let_8)) :args (_let_7 _let_6 _let_5 _let_4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.55 )
% 0.20/0.56 % SZS output end Proof for GRP526-1
% 0.20/0.56 % cvc5---1.0.5 exiting
% 0.20/0.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------