TSTP Solution File: GRP539-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP539-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n010.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 00:26:22 EDT 2023

% Result   : Unsatisfiable 21.16s 21.57s
% Output   : Proof 21.25s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : GRP539-1 : TPTP v8.1.2. Released v2.6.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n010.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 28 22:49:34 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.1I8hYIVCOD/cvc5---1.0.5_15797.p...
% 0.21/0.51  ------- get file name : TPTP file name is GRP539-1
% 0.21/0.51  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_15797.smt2...
% 0.21/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.33/10.72  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.37/15.74  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.39/20.76  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 21.16/21.57  % SZS status Unsatisfiable for GRP539-1
% 21.16/21.57  % SZS output start Proof for GRP539-1
% 21.25/21.57  (
% 21.25/21.57  (let ((_let_1 (tptp.multiply tptp.b3 tptp.c3))) (let ((_let_2 (tptp.multiply tptp.a3 _let_1))) (let ((_let_3 (tptp.multiply tptp.a3 tptp.b3))) (let ((_let_4 (tptp.multiply _let_3 tptp.c3))) (let ((_let_5 (= _let_4 _let_2))) (let ((_let_6 (not _let_5))) (let ((_let_7 (forall ((A $$unsorted)) (= tptp.identity (tptp.divide A A))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply A B) (tptp.divide A (tptp.divide (tptp.divide C C) B)))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.divide (tptp.divide A B) (tptp.divide (tptp.divide A C) B)) C)))) (let ((_let_10 (tptp.divide tptp.b3 tptp.b3))) (let ((_let_11 (tptp.divide _let_10 tptp.b3))) (let ((_let_12 (tptp.divide _let_10 _let_11))) (let ((_let_13 (= tptp.b3 _let_12))) (let ((_let_14 (= tptp.identity _let_10))) (let ((_let_15 (= tptp.b3 (tptp.divide (tptp.divide tptp.b3 _let_11) _let_12)))) (let ((_let_16 (tptp.divide tptp.a3 _let_11))) (let ((_let_17 (= _let_3 _let_16))) (let ((_let_18 (tptp.divide tptp.a3 tptp.a3))) (let ((_let_19 (tptp.divide (tptp.divide tptp.a3 tptp.b3) (tptp.divide _let_18 tptp.b3)))) (let ((_let_20 (= tptp.a3 _let_19))) (let ((_let_21 (tptp.divide (tptp.divide tptp.b3 _let_2) tptp.b3))) (let ((_let_22 (tptp.divide _let_11 _let_21))) (let ((_let_23 (tptp.divide _let_10 _let_21))) (let ((_let_24 (tptp.divide _let_23 _let_22))) (let ((_let_25 (= tptp.b3 _let_24))) (let ((_let_26 (= tptp.identity _let_18))) (let ((_let_27 (tptp.divide _let_2 _let_2))) (let ((_let_28 (= tptp.identity _let_27))) (let ((_let_29 (tptp.divide _let_10 _let_1))) (let ((_let_30 (tptp.divide tptp.a3 _let_29))) (let ((_let_31 (= _let_2 _let_30))) (let ((_let_32 (tptp.divide (tptp.divide _let_23 _let_29) _let_22))) (let ((_let_33 (= _let_29 (tptp.divide _let_24 _let_32)))) (let ((_let_34 (tptp.divide _let_10 (tptp.divide (tptp.divide tptp.b3 _let_29) tptp.b3)))) (let ((_let_35 (= _let_29 _let_34))) (let ((_let_36 (tptp.divide _let_18 _let_29))) (let ((_let_37 (tptp.divide _let_30 _let_36))) (let ((_let_38 (= tptp.a3 _let_37))) (let ((_let_39 (tptp.divide (tptp.divide _let_27 _let_27) tptp.c3))) (let ((_let_40 (tptp.divide tptp.b3 _let_39))) (let ((_let_41 (= _let_1 _let_40))) (let ((_let_42 (= _let_39 (tptp.divide _let_10 (tptp.divide _let_40 tptp.b3))))) (let ((_let_43 (= _let_1 (tptp.divide _let_12 (tptp.divide _let_29 _let_11))))) (let ((_let_44 (tptp.divide _let_19 tptp.a3))) (let ((_let_45 (= _let_4 (tptp.divide _let_3 (tptp.divide (tptp.divide _let_44 _let_44) tptp.c3))))) (let ((_let_46 (tptp.divide _let_30 _let_29))) (let ((_let_47 (tptp.divide _let_46 _let_36))) (let ((_let_48 (= _let_29 (tptp.divide _let_37 _let_47)))) (let ((_let_49 (tptp.divide _let_34 _let_11))) (let ((_let_50 (= _let_49 (tptp.divide _let_10 (tptp.divide (tptp.divide tptp.b3 _let_49) tptp.b3))))) (let ((_let_51 (= _let_47 (tptp.divide _let_16 (tptp.divide (tptp.divide tptp.a3 _let_47) _let_11))))) (let ((_let_52 (= _let_2 (tptp.divide _let_46 (tptp.divide (tptp.divide _let_30 _let_2) _let_29))))) (let ((_let_53 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.divide (tptp.divide A B) (tptp.divide (tptp.divide A C) B)))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (_let_53))) (let ((_let_56 (_let_7))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 (_let_8))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 (and _let_13 _let_14 _let_15 _let_17 _let_20 _let_25 _let_26 _let_28 _let_31 _let_33 _let_35 _let_38 _let_41 _let_42 _let_43 _let_45 _let_48 _let_50 _let_51 _let_52))) (let ((_let_61 (ASSUME :args (_let_52)))) (let ((_let_62 (APPLY_UF tptp.divide))) (let ((_let_63 (REFL :args (_let_29)))) (let ((_let_64 (ASSUME :args (_let_31)))) (let ((_let_65 (ASSUME :args (_let_28)))) (let ((_let_66 (SYMM (SYMM _let_65)))) (let ((_let_67 (ASSUME :args (_let_14)))) (let ((_let_68 (REFL :args (tptp.b3)))) (let ((_let_69 (ASSUME :args (_let_15)))) (let ((_let_70 (CONG (SYMM _let_69) _let_68 :args _let_62))) (let ((_let_71 (ASSUME :args (_let_26)))) (let ((_let_72 (SYMM _let_71))) (let ((_let_73 (ASSUME :args (_let_51)))) (let ((_let_74 (REFL :args (_let_11)))) (let ((_let_75 (ASSUME :args (_let_38)))) (let ((_let_76 (ASSUME :args (_let_48)))) (let ((_let_77 (ASSUME :args (_let_33)))) (let ((_let_78 (ASSUME :args (_let_25)))) (let ((_let_79 (TRANS (CONG (SYMM (SYMM _let_78)) (REFL :args (_let_32)) :args _let_62) (SYMM _let_77)))) (let ((_let_80 (SYMM _let_79))) (let ((_let_81 (ASSUME :args (_let_35)))) (let ((_let_82 (CONG (TRANS (SYMM _let_81) _let_80) _let_74 :args _let_62))) (let ((_let_83 (ASSUME :args (_let_50)))) (let ((_let_84 (ASSUME :args (_let_13)))) (let ((_let_85 (ASSUME :args (_let_43)))) (let ((_let_86 (ASSUME :args (_let_41)))) (let ((_let_87 (ASSUME :args (_let_42)))) (let ((_let_88 (ASSUME :args (_let_20)))) (let ((_let_89 (TRANS (CONG (SYMM _let_88) (REFL :args (tptp.a3)) :args _let_62) _let_72 _let_66))) (let ((_let_90 (ASSUME :args (_let_17)))) (let ((_let_91 (ASSUME :args (_let_45)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_60)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_61 _let_83 _let_76 _let_91 _let_84 _let_71 _let_67 _let_86 _let_90 _let_88 _let_73 _let_69 _let_65 _let_78 _let_85 _let_64 _let_77 _let_81 _let_87 _let_75) (SCOPE (TRANS (SYMM (SYMM _let_91)) (CONG (SYMM (SYMM _let_90)) (TRANS (CONG (CONG _let_89 _let_89 :args _let_62) (REFL :args (tptp.c3)) :args _let_62) (SYMM (SYMM _let_87)) (CONG (REFL :args (_let_10)) (CONG (TRANS (SYMM _let_86) (SYMM (SYMM _let_85)) (CONG (REFL :args (_let_12)) (TRANS (CONG _let_80 _let_74 :args _let_62) (SYMM _let_82)) :args _let_62) (CONG (SYMM _let_84) (REFL :args (_let_49)) :args _let_62)) _let_68 :args _let_62) :args _let_62) (SYMM _let_83) _let_82 (CONG (TRANS _let_79 (TRANS (SYMM (SYMM _let_76)) (CONG (SYMM _let_75) (REFL :args (_let_47)) :args _let_62))) _let_74 :args _let_62)) :args _let_62) (SYMM _let_73) (CONG (REFL :args (_let_46)) (TRANS (CONG (TRANS (TRANS _let_72 _let_67) (SYMM _let_70)) _let_63 :args _let_62) (CONG (TRANS _let_70 (TRANS (SYMM _let_67) _let_66 (CONG (SYMM (SYMM _let_64)) (REFL :args (_let_2)) :args _let_62))) _let_63 :args _let_62)) :args _let_62) (SYMM _let_61)) :args (_let_52 _let_50 _let_48 _let_45 _let_13 _let_26 _let_14 _let_41 _let_17 _let_20 _let_51 _let_15 _let_28 _let_25 _let_43 _let_31 _let_33 _let_35 _let_42 _let_38))) :args (_let_13 _let_14 _let_15 _let_17 _let_20 _let_25 _let_26 _let_28 _let_31 _let_33 _let_35 _let_38 _let_41 _let_42 _let_43 _let_45 _let_48 _let_50 _let_51 _let_52))) :args (true _let_60)) :args ((or _let_5 (not _let_13) (not _let_14) (not _let_15) (not _let_17) (not _let_20) (not _let_25) (not _let_26) (not _let_28) (not _let_31) (not _let_33) (not _let_35) (not _let_38) (not _let_41) (not _let_42) (not _let_43) (not _let_45) (not _let_48) (not _let_50) (not _let_51) (not _let_52)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_30 _let_29 _let_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_55)) _let_54 :args (_let_52 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.a3 _let_11 _let_47 QUANTIFIERS_INST_CBQI_PROP)) :args _let_55)) _let_54 :args (_let_51 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.b3 tptp.b3 _let_49 QUANTIFIERS_INST_CBQI_PROP)) :args _let_55)) _let_54 :args (_let_50 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_30 _let_36 _let_29 QUANTIFIERS_INST_CBQI_PROP)) :args _let_55)) _let_54 :args (_let_48 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_3 tptp.c3 _let_44 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_58)) _let_59 :args (_let_45 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_10 _let_11 _let_1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_55)) _let_54 :args (_let_43 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.b3 tptp.b3 _let_39 QUANTIFIERS_INST_CBQI_PROP)) :args _let_55)) _let_54 :args (_let_42 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.b3 tptp.c3 _let_27 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_58)) _let_59 :args (_let_41 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.a3 _let_29 tptp.a3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_55)) _let_54 :args (_let_38 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.b3 tptp.b3 _let_29 QUANTIFIERS_INST_CBQI_PROP)) :args _let_55)) _let_54 :args (_let_35 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_23 _let_22 _let_29 QUANTIFIERS_INST_CBQI_PROP)) :args _let_55)) _let_54 :args (_let_33 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.a3 _let_1 tptp.b3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_58)) _let_59 :args (_let_31 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_56)) _let_57 :args (_let_28 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.a3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_56)) _let_57 :args (_let_26 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_10 _let_21 tptp.b3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_55)) _let_54 :args (_let_25 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.a3 tptp.b3 tptp.a3 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_55)) _let_54 :args (_let_20 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.a3 tptp.b3 tptp.b3 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_58)) _let_59 :args (_let_17 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.b3 _let_11 tptp.b3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_55)) _let_54 :args (_let_15 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.b3 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_56)) _let_57 :args (_let_14 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.b3 tptp.b3 tptp.b3 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_55)) _let_54 :args (_let_13 false _let_53)) (ASSUME :args (_let_6)) :args (false false _let_52 false _let_51 false _let_50 false _let_48 false _let_45 false _let_43 false _let_42 false _let_41 false _let_38 false _let_35 false _let_33 false _let_31 false _let_28 false _let_26 false _let_25 false _let_20 false _let_17 false _let_15 false _let_14 false _let_13 true _let_5)) :args (_let_9 _let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.inverse A) (tptp.divide (tptp.divide B B) A))) _let_7 _let_6))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 21.25/21.57  )
% 21.25/21.57  % SZS output end Proof for GRP539-1
% 21.25/21.57  % cvc5---1.0.5 exiting
% 21.25/21.57  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------