TSTP Solution File: GRP535-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP535-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n012.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 24.18s 24.40s
% Output   : Proof 24.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : GRP535-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n012.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 23:42:09 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.WJMX18f50U/cvc5---1.0.5_24796.p...
% 0.21/0.51  ------- get file name : TPTP file name is GRP535-1
% 0.21/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_24796.smt2...
% 0.21/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.17/10.55  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.32/15.57  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.40/20.59  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 24.18/24.40  % SZS status Unsatisfiable for GRP535-1
% 24.18/24.40  % SZS output start Proof for GRP535-1
% 24.22/24.40  (
% 24.22/24.40  (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 (tptp.divide (tptp.divide A B) C)) B) C)))) (let ((_let_10 (tptp.divide tptp.b3 tptp.b3))) (let ((_let_11 (= tptp.identity _let_10))) (let ((_let_12 (tptp.divide _let_10 tptp.b3))) (let ((_let_13 (= _let_3 (tptp.divide tptp.a3 _let_12)))) (let ((_let_14 (tptp.divide tptp.a3 (tptp.divide (tptp.divide tptp.a3 _let_2) tptp.a3)))) (let ((_let_15 (tptp.divide _let_14 _let_2))) (let ((_let_16 (= tptp.a3 _let_15))) (let ((_let_17 (tptp.divide _let_2 _let_2))) (let ((_let_18 (= tptp.a3 (tptp.divide (tptp.divide _let_2 (tptp.divide _let_17 tptp.a3)) _let_2)))) (let ((_let_19 (tptp.divide _let_10 tptp.c3))) (let ((_let_20 (= _let_4 (tptp.divide _let_3 _let_19)))) (let ((_let_21 (tptp.divide tptp.a3 tptp.a3))) (let ((_let_22 (= tptp.identity _let_21))) (let ((_let_23 (= tptp.identity _let_17))) (let ((_let_24 (tptp.divide _let_14 _let_14))) (let ((_let_25 (= tptp.identity _let_24))) (let ((_let_26 (tptp.divide (tptp.divide tptp.identity (tptp.divide (tptp.divide tptp.identity tptp.a3) tptp.a3)) tptp.a3))) (let ((_let_27 (= tptp.a3 _let_26))) (let ((_let_28 (tptp.divide tptp.a3 (tptp.divide _let_21 _let_1)))) (let ((_let_29 (= _let_2 _let_28))) (let ((_let_30 (tptp.divide _let_21 tptp.a3))) (let ((_let_31 (tptp.divide _let_15 _let_12))) (let ((_let_32 (= _let_31 (tptp.divide (tptp.divide _let_3 (tptp.divide (tptp.divide _let_3 _let_30) _let_31)) _let_30)))) (let ((_let_33 (= tptp.identity (tptp.divide _let_3 _let_3)))) (let ((_let_34 (= tptp.b3 (tptp.divide (tptp.divide tptp.a3 (tptp.divide _let_21 tptp.b3)) tptp.a3)))) (let ((_let_35 (= tptp.identity (tptp.divide _let_30 _let_30)))) (let ((_let_36 (tptp.divide _let_10 tptp.a3))) (let ((_let_37 (tptp.divide tptp.identity _let_26))) (let ((_let_38 (= tptp.a3 (tptp.divide (tptp.divide _let_37 (tptp.divide (tptp.divide _let_37 _let_36) tptp.a3)) _let_36)))) (let ((_let_39 (= _let_2 (tptp.divide (tptp.divide tptp.b3 (tptp.divide (tptp.divide tptp.b3 _let_19) _let_2)) _let_19)))) (let ((_let_40 (= _let_30 (tptp.divide (tptp.divide _let_2 (tptp.divide _let_17 _let_30)) _let_2)))) (let ((_let_41 (= _let_1 (tptp.divide tptp.b3 (tptp.divide _let_24 tptp.c3))))) (let ((_let_42 (= _let_1 (tptp.divide _let_28 tptp.a3)))) (let ((_let_43 (= tptp.a3 (tptp.divide (tptp.divide _let_3 (tptp.divide (tptp.divide _let_3 _let_31) tptp.a3)) _let_31)))) (let ((_let_44 (_let_7))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (_let_8))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.divide (tptp.divide A (tptp.divide (tptp.divide A B) C)) B))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (_let_48))) (let ((_let_51 (and _let_11 _let_13 _let_16 _let_18 _let_20 _let_22 _let_23 _let_25 _let_27 _let_29 _let_32 _let_33 _let_34 _let_35 _let_38 _let_39 _let_40 _let_41 _let_42 _let_43))) (let ((_let_52 (ASSUME :args (_let_39)))) (let ((_let_53 (APPLY_UF tptp.divide))) (let ((_let_54 (REFL :args (_let_2)))) (let ((_let_55 (ASSUME :args (_let_11)))) (let ((_let_56 (SYMM _let_55))) (let ((_let_57 (SYMM _let_56))) (let ((_let_58 (ASSUME :args (_let_25)))) (let ((_let_59 (REFL :args (tptp.b3)))) (let ((_let_60 (ASSUME :args (_let_41)))) (let ((_let_61 (ASSUME :args (_let_42)))) (let ((_let_62 (REFL :args (tptp.a3)))) (let ((_let_63 (ASSUME :args (_let_29)))) (let ((_let_64 (ASSUME :args (_let_18)))) (let ((_let_65 (ASSUME :args (_let_23)))) (let ((_let_66 (TRANS _let_56 (SYMM (SYMM _let_65))))) (let ((_let_67 (ASSUME :args (_let_22)))) (let ((_let_68 (TRANS (SYMM _let_67) _let_57))) (let ((_let_69 (CONG _let_68 _let_62 :args _let_53))) (let ((_let_70 (CONG _let_54 (TRANS (CONG (CONG _let_54 (TRANS _let_69 (CONG _let_66 _let_62 :args _let_53)) :args _let_53) _let_54 :args _let_53) (SYMM _let_64)) :args _let_53))) (let ((_let_71 (ASSUME :args (_let_38)))) (let ((_let_72 (ASSUME :args (_let_27)))) (let ((_let_73 (TRANS _let_69 (CONG _let_56 (SYMM (SYMM _let_72)) :args _let_53)))) (let ((_let_74 (ASSUME :args (_let_35)))) (let ((_let_75 (SYMM (SYMM _let_74)))) (let ((_let_76 (SYMM _let_68))) (let ((_let_77 (ASSUME :args (_let_40)))) (let ((_let_78 (CONG _let_59 _let_69 :args _let_53))) (let ((_let_79 (ASSUME :args (_let_34)))) (let ((_let_80 (ASSUME :args (_let_43)))) (let ((_let_81 (ASSUME :args (_let_16)))) (let ((_let_82 (CONG (SYMM (SYMM _let_81)) (REFL :args (_let_12)) :args _let_53))) (let ((_let_83 (ASSUME :args (_let_13)))) (let ((_let_84 (SYMM (SYMM _let_83)))) (let ((_let_85 (REFL :args (_let_3)))) (let ((_let_86 (ASSUME :args (_let_33)))) (let ((_let_87 (ASSUME :args (_let_32)))) (let ((_let_88 (ASSUME :args (_let_20)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_51)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_52 _let_55 _let_58 _let_60 _let_61 _let_63 _let_64 _let_65 _let_67 _let_71 _let_72 _let_74 _let_77 _let_79 _let_83 _let_80 _let_81 _let_86 _let_87 _let_88) (SCOPE (TRANS (SYMM (SYMM _let_88)) (CONG (TRANS (TRANS _let_84 _let_82 (SYMM (SYMM _let_87)) (CONG (TRANS (CONG (TRANS _let_84 (CONG _let_62 (CONG _let_76 _let_59 :args _let_53) :args _let_53)) (TRANS (CONG (CONG _let_85 (TRANS _let_69 (CONG (TRANS _let_56 (SYMM (SYMM _let_86)) (CONG _let_85 (TRANS _let_84 _let_82) :args _let_53)) _let_62 :args _let_53)) :args _let_53) (REFL :args (_let_31)) :args _let_53) (SYMM _let_80)) :args _let_53) (SYMM _let_79)) _let_69 :args _let_53) (SYMM _let_78)) _let_78 (CONG _let_59 (TRANS (SYMM _let_69) (SYMM (SYMM _let_77)) (CONG (TRANS (CONG _let_54 (TRANS (CONG (TRANS (SYMM _let_66) _let_76) (REFL :args (_let_30)) :args _let_53) (CONG (TRANS _let_68 (TRANS _let_56 _let_75 (CONG _let_73 (TRANS _let_69 (CONG (TRANS _let_56 _let_75 (CONG _let_73 _let_69 :args _let_53)) _let_62 :args _let_53)) :args _let_53))) _let_69 :args _let_53) (SYMM _let_71)) :args _let_53) (SYMM _let_70) (TRANS _let_70 (CONG (SYMM (SYMM _let_63)) _let_62 :args _let_53) (SYMM _let_61) (SYMM (SYMM _let_60)) (CONG _let_59 (CONG (TRANS (SYMM _let_58) _let_57) (REFL :args (tptp.c3)) :args _let_53) :args _let_53))) _let_54 :args _let_53)) :args _let_53)) (REFL :args (_let_19)) :args _let_53) (SYMM _let_52)) :args (_let_39 _let_11 _let_25 _let_41 _let_42 _let_29 _let_18 _let_23 _let_22 _let_38 _let_27 _let_35 _let_40 _let_34 _let_13 _let_43 _let_16 _let_33 _let_32 _let_20))) :args (_let_11 _let_13 _let_16 _let_18 _let_20 _let_22 _let_23 _let_25 _let_27 _let_29 _let_32 _let_33 _let_34 _let_35 _let_38 _let_39 _let_40 _let_41 _let_42 _let_43))) :args (true _let_51)) :args ((or _let_5 (not _let_11) (not _let_13) (not _let_16) (not _let_18) (not _let_20) (not _let_22) (not _let_23) (not _let_25) (not _let_27) (not _let_29) (not _let_32) (not _let_33) (not _let_34) (not _let_35) (not _let_38) (not _let_39) (not _let_40) (not _let_41) (not _let_42) (not _let_43)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_3 _let_31 tptp.a3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_50)) _let_49 :args (_let_43 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.a3 tptp.a3 _let_1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_50)) _let_49 :args (_let_42 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.b3 tptp.c3 _let_14 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_46)) _let_47 :args (_let_41 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_2 _let_2 _let_30 QUANTIFIERS_INST_CBQI_PROP)) :args _let_50)) _let_49 :args (_let_40 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.b3 _let_19 _let_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_50)) _let_49 :args (_let_39 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_37 _let_36 tptp.a3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_50)) _let_49 :args (_let_38 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_30 QUANTIFIERS_INST_CBQI_PROP)) :args _let_44)) _let_45 :args (_let_35 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.a3 tptp.a3 tptp.b3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_50)) _let_49 :args (_let_34 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_44)) _let_45 :args (_let_33 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_3 _let_30 _let_31 QUANTIFIERS_INST_CBQI_PROP)) :args _let_50)) _let_49 :args (_let_32 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.a3 _let_1 tptp.a3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_46)) _let_47 :args (_let_29 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.identity tptp.a3 tptp.a3 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_50)) _let_49 :args (_let_27 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_14 QUANTIFIERS_INST_CBQI_PROP)) :args _let_44)) _let_45 :args (_let_25 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_44)) _let_45 :args (_let_23 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.a3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_44)) _let_45 :args (_let_22 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_3 tptp.c3 tptp.b3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_46)) _let_47 :args (_let_20 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_2 _let_2 tptp.a3 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_50)) _let_49 :args (_let_18 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.a3 _let_2 tptp.a3 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_50)) _let_49 :args (_let_16 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.a3 tptp.b3 tptp.b3 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_46)) _let_47 :args (_let_13 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.b3 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_44)) _let_45 :args (_let_11 false _let_7)) (ASSUME :args (_let_6)) :args (false false _let_43 false _let_42 false _let_41 false _let_40 false _let_39 false _let_38 false _let_35 false _let_34 false _let_33 false _let_32 false _let_29 false _let_27 false _let_25 false _let_23 false _let_22 false _let_20 false _let_18 false _let_16 false _let_13 false _let_11 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 24.22/24.40  )
% 24.22/24.41  % SZS output end Proof for GRP535-1
% 24.22/24.41  % cvc5---1.0.5 exiting
% 24.22/24.41  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------