TSTP Solution File: GRP538-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP538-1 : 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 00:26:21 EDT 2023
% Result : Unsatisfiable 0.64s 0.91s
% Output : Proof 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP538-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n002.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 : Mon Aug 28 22:03:05 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/sandbox2/tmp/tmp.wgPuZQXv6G/cvc5---1.0.5_15152.p...
% 0.20/0.50 ------- get file name : TPTP file name is GRP538-1
% 0.20/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_15152.smt2...
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.64/0.91 % SZS status Unsatisfiable for GRP538-1
% 0.64/0.91 % SZS output start Proof for GRP538-1
% 0.73/0.91 (
% 0.73/0.91 (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 $$unsorted)) (= tptp.identity (tptp.divide A A))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.inverse A) (tptp.divide (tptp.divide B B) A))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply A B) (tptp.divide A (tptp.divide (tptp.divide C C) B)))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.divide (tptp.divide A B) (tptp.divide (tptp.divide A C) B)) C)))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.divide (tptp.divide A B) (tptp.divide (tptp.divide A C) B)))))) (let ((_let_10 (tptp.divide tptp.b2 tptp.b2))) (let ((_let_11 (tptp.divide _let_10 tptp.b2))) (let ((_let_12 (tptp.divide _let_10 _let_11))) (let ((_let_13 (tptp.divide tptp.b2 _let_11))) (let ((_let_14 (tptp.divide _let_13 _let_12))) (let ((_let_15 (tptp.divide (tptp.divide _let_13 _let_11) (tptp.divide _let_14 _let_11)))) (let ((_let_16 (tptp.divide _let_15 tptp.b2))) (let ((_let_17 (tptp.divide (tptp.divide _let_13 _let_13) tptp.a2))) (let ((_let_18 (tptp.divide _let_12 _let_11))) (let ((_let_19 (tptp.divide (tptp.divide _let_13 _let_18) _let_17))) (let ((_let_20 (tptp.divide _let_13 _let_17))) (let ((_let_21 (tptp.divide (tptp.divide _let_20 _let_19) _let_16))) (let ((_let_22 (tptp.divide (tptp.divide _let_20 _let_16) _let_21))) (let ((_let_23 (tptp.divide _let_20 _let_21))) (let ((_let_24 (tptp.divide _let_23 _let_22))) (let ((_let_25 (tptp.divide _let_24 tptp.a2))) (let ((_let_26 (tptp.divide (tptp.divide _let_23 tptp.a2) _let_25))) (let ((_let_27 (= tptp.a2 (tptp.divide (tptp.divide _let_23 _let_25) _let_26)))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (= _let_22 (tptp.divide (tptp.divide _let_23 _let_17) (tptp.divide _let_24 _let_17))))) (let ((_let_30 (= _let_22 _let_26))) (let ((_let_31 (= _let_16 _let_24))) (let ((_let_32 (= _let_19 _let_22))) (let ((_let_33 (tptp.divide _let_14 tptp.b2))) (let ((_let_34 (= tptp.identity (tptp.divide _let_33 _let_33)))) (let ((_let_35 (= tptp.identity (tptp.divide _let_18 _let_18)))) (let ((_let_36 (= _let_3 (tptp.divide _let_2 _let_17)))) (let ((_let_37 (= _let_2 (tptp.divide _let_1 _let_11)))) (let ((_let_38 (tptp.divide _let_12 tptp.b2))) (let ((_let_39 (tptp.divide _let_11 _let_38))) (let ((_let_40 (= _let_38 (tptp.divide _let_39 (tptp.divide _let_39 _let_38))))) (let ((_let_41 (= _let_12 _let_15))) (let ((_let_42 (= _let_11 (tptp.divide _let_12 _let_18)))) (let ((_let_43 (= tptp.b2 _let_14))) (let ((_let_44 (= _let_11 _let_39))) (let ((_let_45 (= tptp.identity _let_10))) (let ((_let_46 (= _let_1 _let_11))) (let ((_let_47 (= tptp.b2 _let_12))) (let ((_let_48 (= tptp.a2 _let_3))) (let ((_let_49 (not _let_27))) (let ((_let_50 (_let_9))) (let ((_let_51 ((tptp.divide (tptp.divide A C) B)))) (let ((_let_52 (_let_5))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 ((not (= (tptp.divide A A) tptp.identity))))) (let ((_let_55 (_let_7))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 ((tptp.multiply A B) (tptp.divide C C)))) (let ((_let_58 (_let_6))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 (SYMM (ASSUME :args (_let_4))))) (let ((_let_61 (not _let_48))) (let ((_let_62 (and _let_61 _let_47 _let_46 _let_45 _let_44 _let_43 _let_42 _let_41 _let_40 _let_37 _let_36 _let_35 _let_34 _let_32 _let_31 _let_30 _let_29))) (let ((_let_63 (ASSUME :args (_let_36)))) (let ((_let_64 (APPLY_UF tptp.divide))) (let ((_let_65 (REFL :args (_let_17)))) (let ((_let_66 (ASSUME :args (_let_37)))) (let ((_let_67 (ASSUME :args (_let_44)))) (let ((_let_68 (SYMM _let_67))) (let ((_let_69 (REFL :args (_let_38)))) (let ((_let_70 (ASSUME :args (_let_42)))) (let ((_let_71 (ASSUME :args (_let_46)))) (let ((_let_72 (ASSUME :args (_let_40)))) (let ((_let_73 (REFL :args (tptp.b2)))) (let ((_let_74 (ASSUME :args (_let_47)))) (let ((_let_75 (SYMM (SYMM _let_74)))) (let ((_let_76 (TRANS (CONG _let_75 _let_73 :args _let_64) (SYMM (SYMM _let_72)) (CONG (TRANS _let_68 (SYMM _let_71)) (TRANS (CONG (TRANS _let_68 _let_70) _let_69 :args _let_64) (CONG (SYMM _let_70) _let_69 :args _let_64) _let_68) :args _let_64) (SYMM _let_66)))) (let ((_let_77 (ASSUME :args (_let_45)))) (let ((_let_78 (SYMM _let_77))) (let ((_let_79 (SYMM _let_78))) (let ((_let_80 (ASSUME :args (_let_35)))) (let ((_let_81 (REFL :args (_let_11)))) (let ((_let_82 (CONG _let_75 _let_81 :args _let_64))) (let ((_let_83 (CONG _let_82 (REFL :args (_let_18)) :args _let_64))) (let ((_let_84 (CONG (TRANS (TRANS _let_83 (SYMM _let_80) _let_79) _let_76) _let_65 :args _let_64))) (let ((_let_85 (ASSUME :args (_let_32)))) (let ((_let_86 (SYMM _let_85))) (let ((_let_87 (ASSUME :args (_let_29)))) (let ((_let_88 (ASSUME :args (_let_31)))) (let ((_let_89 (ASSUME :args (_let_41)))) (let ((_let_90 (TRANS (CONG (TRANS _let_75 (SYMM (SYMM _let_89))) _let_73 :args _let_64) (SYMM (SYMM _let_88))))) (let ((_let_91 (ASSUME :args (_let_30)))) (let ((_let_92 (REFL :args (tptp.a2)))) (let ((_let_93 (REFL :args (_let_13)))) (let ((_let_94 (ASSUME :args (_let_43)))) (let ((_let_95 (CONG _let_93 (TRANS (CONG (SYMM _let_94) _let_81 :args _let_64) _let_82) :args _let_64))) (let ((_let_96 (SYMM _let_95))) (let ((_let_97 (TRANS _let_78 _let_80 (SYMM _let_83) _let_96))) (let ((_let_98 (ASSUME :args (_let_34)))) (let ((_let_99 (TRANS (CONG (TRANS _let_96 (SYMM _let_97) (CONG _let_94 _let_73 :args _let_64)) (REFL :args (_let_33)) :args _let_64) (SYMM _let_98) _let_79))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_23 _let_25 tptp.a2 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_62)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_87 _let_91 _let_88 _let_85 _let_60 _let_74 _let_71 _let_77 _let_66 _let_67 _let_94 _let_89 _let_70 _let_72 _let_98 _let_63 _let_80) (SCOPE (FALSE_ELIM (TRANS (CONG _let_92 (TRANS (CONG (CONG (REFL :args (_let_23)) (TRANS (CONG (TRANS (SYMM _let_90) (SYMM _let_99)) _let_92 :args _let_64) (CONG (TRANS _let_99 _let_97 _let_95 (CONG _let_93 (SYMM _let_82) :args _let_64)) _let_92 :args _let_64)) :args _let_64) (TRANS (SYMM _let_91) _let_86 _let_84 (CONG (TRANS (SYMM _let_76) _let_90) _let_65 :args _let_64)) :args _let_64) (SYMM _let_87) _let_86 _let_84 (SYMM _let_63)) :args (=)) (FALSE_INTRO _let_60))) :args (_let_29 _let_30 _let_31 _let_32 _let_61 _let_47 _let_46 _let_45 _let_37 _let_44 _let_43 _let_41 _let_42 _let_40 _let_34 _let_36 _let_35))) :args (_let_61 _let_47 _let_46 _let_45 _let_44 _let_43 _let_42 _let_41 _let_40 _let_37 _let_36 _let_35 _let_34 _let_32 _let_31 _let_30 _let_29))) :args (true _let_62)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_48))) (REFL :args ((not _let_47))) (REFL :args ((not _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_41))) (REFL :args ((not _let_40))) (REFL :args ((not _let_37))) (REFL :args ((not _let_36))) (REFL :args ((not _let_35))) (REFL :args ((not _let_34))) (REFL :args ((not _let_32))) (REFL :args ((not _let_31))) (REFL :args ((not _let_30))) (REFL :args ((not _let_29))) (REFL :args (_let_49)) :args (or))) _let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.b2 tptp.b2 tptp.b2 QUANTIFIERS_INST_ENUM)) :args _let_50)) _let_28 :args (_let_47 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.b2 tptp.b2 QUANTIFIERS_INST_ENUM)) :args _let_58)) _let_59 :args (_let_46 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.b2 QUANTIFIERS_INST_ENUM)) :args _let_52)) _let_53 :args (_let_45 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_10 tptp.b2 _let_11 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_28 :args (_let_44 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.b2 _let_11 tptp.b2 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_28 :args (_let_43 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_10 _let_11 _let_11 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_28 :args (_let_42 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_13 _let_11 _let_12 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_28 :args (_let_41 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_11 _let_38 _let_38 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_28 :args (_let_40 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_1 tptp.b2 tptp.b2 QUANTIFIERS_INST_E_MATCHING _let_57)) :args _let_55)) _let_56 :args (_let_37 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_2 tptp.a2 _let_13 QUANTIFIERS_INST_E_MATCHING _let_57)) :args _let_55)) _let_56 :args (_let_36 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_54)) :args _let_52)) _let_53 :args (_let_35 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_54)) :args _let_52)) _let_53 :args (_let_34 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_20 _let_16 _let_19 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_28 :args (_let_32 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_20 _let_21 _let_16 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_28 :args (_let_31 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_23 tptp.a2 _let_22 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_28 :args (_let_30 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_23 _let_17 _let_22 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_28 :args (_let_29 false _let_9)) :args (_let_49 true _let_48 false _let_47 false _let_46 false _let_45 false _let_44 false _let_43 false _let_42 false _let_41 false _let_40 false _let_37 false _let_36 false _let_35 false _let_34 false _let_32 false _let_31 false _let_30 false _let_29)) _let_28 :args (false true _let_27 false _let_9)) :args (_let_8 _let_7 _let_6 _let_5 _let_4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.73/0.91 )
% 0.73/0.92 % SZS output end Proof for GRP538-1
% 0.73/0.92 % cvc5---1.0.5 exiting
% 0.73/0.92 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------