TSTP Solution File: GRP518-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP518-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n004.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 00:26:17 EDT 2023

% Result   : Unsatisfiable 16.96s 17.18s
% Output   : Proof 16.96s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : GRP518-1 : TPTP v8.1.2. Released v2.6.0.
% 0.10/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n004.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
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 29 02:20:22 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.46  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.47  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.iK83M9j0X5/cvc5---1.0.5_17644.p...
% 0.19/0.47  ------- get file name : TPTP file name is GRP518-1
% 0.19/0.48  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_17644.smt2...
% 0.19/0.48  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.24/10.49  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.32/15.52  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 16.96/17.18  % SZS status Unsatisfiable for GRP518-1
% 16.96/17.18  % SZS output start Proof for GRP518-1
% 16.96/17.18  (
% 16.96/17.18  (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) (C $$unsorted)) (= (tptp.multiply A (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply A B)) C) B)) C)))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.multiply A (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply A B)) C) B)))))) (let ((_let_7 (tptp.inverse (tptp.multiply _let_2 tptp.b2)))) (let ((_let_8 (= tptp.a2 (tptp.multiply _let_2 (tptp.multiply (tptp.multiply _let_7 tptp.a2) tptp.b2))))) (let ((_let_9 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_10 (tptp.inverse _let_2))) (let ((_let_11 (tptp.multiply _let_10 tptp.b2))) (let ((_let_12 (tptp.inverse _let_11))) (let ((_let_13 (tptp.multiply (tptp.multiply _let_12 tptp.a2) tptp.b2))) (let ((_let_14 (tptp.multiply _let_10 _let_13))) (let ((_let_15 (= _let_13 (tptp.multiply _let_1 (tptp.multiply _let_14 tptp.b2))))) (let ((_let_16 (tptp.multiply (tptp.multiply _let_10 tptp.a2) tptp.b2))) (let ((_let_17 (tptp.multiply _let_12 _let_16))) (let ((_let_18 (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply _let_17 tptp.b2)) tptp.b2) tptp.b2))) (let ((_let_19 (tptp.multiply _let_17 _let_18))) (let ((_let_20 (= _let_16 (tptp.multiply _let_17 (tptp.multiply (tptp.multiply (tptp.inverse _let_19) _let_16) _let_18))))) (let ((_let_21 (= tptp.b2 _let_19))) (let ((_let_22 (tptp.multiply (tptp.multiply _let_12 tptp.b2) tptp.b2))) (let ((_let_23 (tptp.multiply _let_10 _let_22))) (let ((_let_24 (= _let_22 (tptp.multiply _let_1 (tptp.multiply _let_23 tptp.b2))))) (let ((_let_25 (tptp.multiply _let_11 tptp.b2))) (let ((_let_26 (tptp.multiply (tptp.inverse _let_23) _let_25))) (let ((_let_27 (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply _let_26 tptp.b2)) tptp.b2) tptp.b2))) (let ((_let_28 (tptp.multiply _let_26 _let_27))) (let ((_let_29 (= _let_25 (tptp.multiply _let_26 (tptp.multiply (tptp.multiply (tptp.inverse _let_28) _let_25) _let_27))))) (let ((_let_30 (= tptp.b2 _let_28))) (let ((_let_31 (= tptp.a2 _let_14))) (let ((_let_32 (= tptp.b2 _let_23))) (let ((_let_33 (tptp.multiply (tptp.multiply _let_7 tptp.b2) tptp.b2))) (let ((_let_34 (tptp.multiply _let_2 _let_33))) (let ((_let_35 (= tptp.b2 (tptp.multiply _let_2 (tptp.multiply (tptp.multiply (tptp.inverse _let_34) tptp.b2) _let_33))))) (let ((_let_36 (= tptp.b2 _let_34))) (let ((_let_37 (= tptp.a2 (tptp.multiply _let_1 _let_16)))) (let ((_let_38 (= tptp.b2 (tptp.multiply _let_1 _let_25)))) (let ((_let_39 (= tptp.a2 _let_3))) (let ((_let_40 (not _let_8))) (let ((_let_41 (_let_6))) (let ((_let_42 (SYMM (ASSUME :args (_let_4))))) (let ((_let_43 (not _let_39))) (let ((_let_44 (and _let_43 _let_38 _let_37 _let_36 _let_35 _let_32 _let_31 _let_30 _let_29 _let_24 _let_21 _let_20 _let_15))) (let ((_let_45 (APPLY_UF tptp.multiply))) (let ((_let_46 (ASSUME :args (_let_37)))) (let ((_let_47 (ASSUME :args (_let_20)))) (let ((_let_48 (REFL :args (_let_16)))) (let ((_let_49 (APPLY_UF tptp.inverse))) (let ((_let_50 (ASSUME :args (_let_21)))) (let ((_let_51 (SYMM (SYMM _let_50)))) (let ((_let_52 (ASSUME :args (_let_32)))) (let ((_let_53 (SYMM _let_52))) (let ((_let_54 (ASSUME :args (_let_24)))) (let ((_let_55 (REFL :args (tptp.b2)))) (let ((_let_56 (ASSUME :args (_let_38)))) (let ((_let_57 (REFL :args (_let_25)))) (let ((_let_58 (CONG _let_53 :args _let_49))) (let ((_let_59 (CONG _let_58 _let_57 :args _let_45))) (let ((_let_60 (ASSUME :args (_let_30)))) (let ((_let_61 (SYMM _let_60))) (let ((_let_62 (ASSUME :args (_let_29)))) (let ((_let_63 (REFL :args (_let_1)))) (let ((_let_64 (CONG (TRANS (CONG (REFL :args (_let_10)) (TRANS _let_56 (CONG _let_63 (TRANS (SYMM (SYMM _let_62)) (CONG (REFL :args (_let_26)) (TRANS (CONG (TRANS (CONG (CONG _let_61 :args _let_49) _let_57 :args _let_45) (SYMM _let_59)) (REFL :args (_let_27)) :args _let_45) _let_61) :args _let_45) (CONG (TRANS _let_59 (SYMM _let_56) _let_52) _let_55 :args _let_45)) :args _let_45) (SYMM _let_54)) :args _let_45) _let_53) :args _let_49))) (let ((_let_65 (CONG _let_64 _let_48 :args _let_45))) (let ((_let_66 (ASSUME :args (_let_31)))) (let ((_let_67 (ASSUME :args (_let_15)))) (let ((_let_68 (REFL :args (tptp.a2)))) (let ((_let_69 (CONG _let_58 _let_68 :args _let_45))) (let ((_let_70 (ASSUME :args (_let_35)))) (let ((_let_71 (ASSUME :args (_let_36)))) (let ((_let_72 (SYMM (SYMM _let_71)))) (let ((_let_73 (REFL :args (_let_2)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_9 :args (_let_2 tptp.b2 tptp.a2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_41)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_44)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_42 _let_46 _let_47 _let_50 _let_52 _let_54 _let_56 _let_60 _let_62 _let_66 _let_67 _let_70 _let_71) (SCOPE (FALSE_ELIM (TRANS (CONG _let_68 (CONG _let_73 (TRANS (CONG (TRANS (TRANS (CONG (CONG (TRANS (CONG _let_73 (TRANS _let_72 (CONG (CONG (CONG _let_72 :args _let_49) _let_55 :args _let_45) (REFL :args (_let_33)) :args _let_45)) :args _let_45) (SYMM _let_70)) :args _let_49) _let_68 :args _let_45) (SYMM _let_69)) (TRANS _let_69 (CONG (SYMM _let_64) _let_68 :args _let_45))) _let_55 :args _let_45) (SYMM (SYMM _let_67)) (CONG _let_63 (TRANS (CONG (TRANS (SYMM _let_66) _let_46 (SYMM _let_65)) _let_55 :args _let_45) (CONG (REFL :args (_let_17)) (TRANS _let_51 (CONG (TRANS _let_65 (CONG (CONG _let_51 :args _let_49) _let_48 :args _let_45)) (REFL :args (_let_18)) :args _let_45)) :args _let_45) (SYMM _let_47)) :args _let_45) (SYMM _let_46)) :args _let_45) :args (=)) (FALSE_INTRO _let_42))) :args (_let_43 _let_37 _let_20 _let_21 _let_32 _let_24 _let_38 _let_30 _let_29 _let_31 _let_15 _let_35 _let_36))) :args (_let_43 _let_38 _let_37 _let_36 _let_35 _let_32 _let_31 _let_30 _let_29 _let_24 _let_21 _let_20 _let_15))) :args (true _let_44)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_39))) (REFL :args ((not _let_38))) (REFL :args ((not _let_37))) (REFL :args ((not _let_36))) (REFL :args ((not _let_35))) (REFL :args ((not _let_32))) (REFL :args ((not _let_31))) (REFL :args ((not _let_30))) (REFL :args ((not _let_29))) (REFL :args ((not _let_24))) (REFL :args ((not _let_21))) (REFL :args ((not _let_20))) (REFL :args ((not _let_15))) (REFL :args (_let_40)) :args (or))) _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_9 :args (_let_1 tptp.b2 tptp.b2 QUANTIFIERS_INST_ENUM)) :args _let_41)) _let_9 :args (_let_38 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_9 :args (_let_1 tptp.b2 tptp.a2 QUANTIFIERS_INST_ENUM)) :args _let_41)) _let_9 :args (_let_37 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_9 :args (_let_2 tptp.b2 tptp.b2 QUANTIFIERS_INST_ENUM)) :args _let_41)) _let_9 :args (_let_36 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_9 :args (_let_2 _let_33 tptp.b2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_41)) _let_9 :args (_let_35 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_9 :args (_let_10 tptp.b2 tptp.b2 QUANTIFIERS_INST_ENUM)) :args _let_41)) _let_9 :args (_let_32 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_9 :args (_let_10 tptp.b2 tptp.a2 QUANTIFIERS_INST_ENUM)) :args _let_41)) _let_9 :args (_let_31 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_9 :args (_let_26 tptp.b2 tptp.b2 QUANTIFIERS_INST_ENUM)) :args _let_41)) _let_9 :args (_let_30 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_9 :args (_let_26 _let_27 _let_25 QUANTIFIERS_INST_CBQI_PROP)) :args _let_41)) _let_9 :args (_let_29 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_9 :args (_let_1 tptp.b2 _let_22 QUANTIFIERS_INST_CBQI_PROP)) :args _let_41)) _let_9 :args (_let_24 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_9 :args (_let_17 tptp.b2 tptp.b2 QUANTIFIERS_INST_ENUM)) :args _let_41)) _let_9 :args (_let_21 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_9 :args (_let_17 _let_18 _let_16 QUANTIFIERS_INST_CBQI_PROP)) :args _let_41)) _let_9 :args (_let_20 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_9 :args (_let_1 tptp.b2 _let_13 QUANTIFIERS_INST_CBQI_PROP)) :args _let_41)) _let_9 :args (_let_15 false _let_6)) :args (_let_40 true _let_39 false _let_38 false _let_37 false _let_36 false _let_35 false _let_32 false _let_31 false _let_30 false _let_29 false _let_24 false _let_21 false _let_20 false _let_15)) _let_9 :args (false true _let_8 false _let_6)) :args (_let_5 _let_4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 16.96/17.18  )
% 16.96/17.18  % SZS output end Proof for GRP518-1
% 17.01/17.33  % cvc5---1.0.5 exiting
% 17.01/17.34  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------