TSTP Solution File: GRP001-4 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP001-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n001.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 00:23:52 EDT 2023
% Result : Unsatisfiable 0.20s 0.57s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP001-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n001.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 01:34:36 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.GsfAh9BxG2/cvc5---1.0.5_803.p...
% 0.20/0.48 ------- get file name : TPTP file name is GRP001-4
% 0.20/0.48 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_803.smt2...
% 0.20/0.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.57 % SZS status Unsatisfiable for GRP001-4
% 0.20/0.57 % SZS output start Proof for GRP001-4
% 0.20/0.58 (
% 0.20/0.58 (let ((_let_1 (tptp.multiply tptp.b tptp.a))) (let ((_let_2 (not (= _let_1 tptp.c)))) (let ((_let_3 (tptp.multiply tptp.a tptp.b))) (let ((_let_4 (= _let_3 tptp.c))) (let ((_let_5 (forall ((X $$unsorted)) (= (tptp.multiply X X) tptp.identity)))) (let ((_let_6 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_8 (= tptp.c _let_3))) (let ((_let_9 (= tptp.c _let_1))) (let ((_let_10 (tptp.multiply tptp.a tptp.a))) (let ((_let_11 (tptp.multiply tptp.a _let_10))) (let ((_let_12 (tptp.multiply _let_10 tptp.a))) (let ((_let_13 (= _let_12 _let_11))) (let ((_let_14 (= tptp.a (tptp.multiply tptp.identity tptp.a)))) (let ((_let_15 (= tptp.identity _let_10))) (let ((_let_16 (tptp.multiply _let_10 _let_3))) (let ((_let_17 (= (tptp.multiply _let_12 tptp.b) _let_16))) (let ((_let_18 (tptp.multiply tptp.a _let_3))) (let ((_let_19 (= _let_16 (tptp.multiply tptp.a _let_18)))) (let ((_let_20 (= (tptp.multiply _let_1 _let_10) (tptp.multiply tptp.b _let_11)))) (let ((_let_21 (= (tptp.multiply _let_10 tptp.b) _let_18))) (let ((_let_22 (= tptp.b (tptp.multiply tptp.identity tptp.b)))) (let ((_let_23 (tptp.multiply _let_3 tptp.a))) (let ((_let_24 (tptp.multiply tptp.a _let_23))) (let ((_let_25 (= (tptp.multiply _let_18 tptp.a) _let_24))) (let ((_let_26 (tptp.multiply _let_3 _let_10))) (let ((_let_27 (= (tptp.multiply _let_18 _let_10) (tptp.multiply tptp.a _let_26)))) (let ((_let_28 (= _let_26 (tptp.multiply tptp.a (tptp.multiply tptp.b _let_10))))) (let ((_let_29 (tptp.multiply _let_3 _let_3))) (let ((_let_30 (= (tptp.multiply _let_29 _let_3) (tptp.multiply _let_3 _let_29)))) (let ((_let_31 (= tptp.identity _let_29))) (let ((_let_32 (tptp.multiply _let_23 tptp.b))) (let ((_let_33 (= _let_29 _let_32))) (let ((_let_34 (= (tptp.multiply _let_1 _let_3) (tptp.multiply tptp.b _let_18)))) (let ((_let_35 (tptp.multiply _let_24 tptp.b))) (let ((_let_36 (= _let_35 (tptp.multiply tptp.a _let_32)))) (let ((_let_37 (tptp.multiply tptp.b tptp.b))) (let ((_let_38 (= (tptp.multiply _let_35 tptp.b) (tptp.multiply _let_24 _let_37)))) (let ((_let_39 (= tptp.identity _let_37))) (let ((_let_40 (SYMM (ASSUME :args (_let_4))))) (let ((_let_41 (_let_7))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (_let_43))) (let ((_let_46 (tptp.a QUANTIFIERS_INST_ENUM))) (let ((_let_47 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply X X))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (_let_47))) (let ((_let_50 ((tptp.multiply (tptp.multiply X Y) Z)))) (let ((_let_51 ((tptp.multiply X (tptp.multiply Y Z))))) (let ((_let_52 (and _let_8 _let_13 _let_14 _let_15 _let_17 _let_19 _let_20 _let_21 _let_22 _let_25 _let_27 _let_28 _let_30 _let_31 _let_33 _let_34 _let_36 _let_38 _let_39))) (let ((_let_53 (APPLY_UF tptp.multiply))) (let ((_let_54 (ASSUME :args (_let_14)))) (let ((_let_55 (REFL :args (tptp.a)))) (let ((_let_56 (ASSUME :args (_let_15)))) (let ((_let_57 (SYMM _let_56))) (let ((_let_58 (CONG _let_57 _let_55 :args _let_53))) (let ((_let_59 (TRANS _let_58 (SYMM _let_54)))) (let ((_let_60 (REFL :args (tptp.b)))) (let ((_let_61 (CONG _let_60 _let_59 :args _let_53))) (let ((_let_62 (ASSUME :args (_let_13)))) (let ((_let_63 (ASSUME :args (_let_20)))) (let ((_let_64 (ASSUME :args (_let_39)))) (let ((_let_65 (ASSUME :args (_let_22)))) (let ((_let_66 (SYMM _let_65))) (let ((_let_67 (CONG _let_57 _let_60 :args _let_53))) (let ((_let_68 (ASSUME :args (_let_21)))) (let ((_let_69 (SYMM _let_68))) (let ((_let_70 (TRANS _let_69 _let_67 _let_66))) (let ((_let_71 (CONG _let_60 _let_70 :args _let_53))) (let ((_let_72 (ASSUME :args (_let_34)))) (let ((_let_73 (SYMM _let_72))) (let ((_let_74 (ASSUME :args (_let_25)))) (let ((_let_75 (ASSUME :args (_let_38)))) (let ((_let_76 (CONG _let_59 _let_60 :args _let_53))) (let ((_let_77 (ASSUME :args (_let_17)))) (let ((_let_78 (ASSUME :args (_let_19)))) (let ((_let_79 (REFL :args (_let_3)))) (let ((_let_80 (ASSUME :args (_let_31)))) (let ((_let_81 (TRANS (SYMM _let_80) _let_56))) (let ((_let_82 (CONG _let_81 _let_79 :args _let_53))) (let ((_let_83 (ASSUME :args (_let_30)))) (let ((_let_84 (CONG _let_79 (SYMM _let_81) :args _let_53))) (let ((_let_85 (ASSUME :args (_let_27)))) (let ((_let_86 (ASSUME :args (_let_36)))) (let ((_let_87 (ASSUME :args (_let_33)))) (let ((_let_88 (ASSUME :args (_let_28)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_52)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_54 _let_56 _let_62 _let_63 _let_65 _let_68 _let_74 _let_64 _let_77 _let_78 _let_80 _let_83 _let_85 _let_72 _let_75 _let_86 _let_87 _let_88 _let_40) (SCOPE (TRANS (SYMM (SYMM _let_40)) (SYMM _let_76) _let_77 (SYMM _let_82) _let_83 (SYMM _let_84) (SYMM (SYMM _let_88)) (CONG (TRANS _let_54 (SYMM _let_58) _let_62 (CONG _let_55 (TRANS _let_57 _let_80 (SYMM (SYMM _let_87))) :args _let_53) (SYMM _let_86)) (TRANS (CONG (SYMM _let_70) (REFL :args (_let_10)) :args _let_53) (SYMM (SYMM _let_85)) (CONG _let_55 (TRANS _let_84 (SYMM _let_83) _let_82 _let_78) :args _let_53) (CONG _let_55 (TRANS (SYMM _let_78) (SYMM _let_77) _let_76) :args _let_53) _let_69 _let_67 _let_66) :args _let_53) (SYMM (SYMM _let_75)) (CONG (REFL :args (_let_24)) (TRANS (SYMM _let_71) _let_73) :args _let_53) (CONG (TRANS (SYMM _let_74) (CONG _let_70 (SYMM _let_59) :args _let_53) _let_61) (TRANS (SYMM _let_73) _let_71 (SYMM _let_64) _let_56) :args _let_53) (SYMM (SYMM _let_63)) (CONG _let_60 (SYMM _let_62) :args _let_53) _let_61) :args (_let_14 _let_15 _let_13 _let_20 _let_22 _let_21 _let_25 _let_39 _let_17 _let_19 _let_31 _let_30 _let_27 _let_34 _let_38 _let_36 _let_33 _let_28 _let_8))) :args (_let_8 _let_13 _let_14 _let_15 _let_17 _let_19 _let_20 _let_21 _let_22 _let_25 _let_27 _let_28 _let_30 _let_31 _let_33 _let_34 _let_36 _let_38 _let_39))) :args (true _let_52)) :args ((or _let_9 (not _let_8) (not _let_13) (not _let_14) (not _let_15) (not _let_17) (not _let_19) (not _let_20) (not _let_21) (not _let_22) (not _let_25) (not _let_27) (not _let_28) (not _let_30) (not _let_31) (not _let_33) (not _let_34) (not _let_36) (not _let_38) (not _let_39)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.multiply X X) tptp.identity))))) :args _let_49)) _let_48 :args (_let_39 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_24 tptp.b tptp.b QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_41)) _let_42 :args (_let_38 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.a _let_23 tptp.b QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_41)) _let_42 :args (_let_36 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.b tptp.a _let_3 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_41)) _let_42 :args (_let_34 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_3 tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_41))) _let_42 :args (_let_33 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_3 QUANTIFIERS_INST_ENUM)) :args _let_49)) _let_48 :args (_let_31 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_3 _let_3 _let_3 QUANTIFIERS_INST_ENUM)) :args _let_41)) _let_42 :args (_let_30 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.a tptp.b _let_10 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_41)) _let_42 :args (_let_28 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.a _let_3 _let_10 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_41)) _let_42 :args (_let_27 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.a _let_3 tptp.a QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_41)) _let_42 :args (_let_25 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiply tptp.identity X)))) :args _let_45)) _let_44 :args (_let_22 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.a tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_41)) _let_42 :args (_let_21 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.b tptp.a _let_10 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_41)) _let_42 :args (_let_20 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.a tptp.a _let_3 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_41)) _let_42 :args (_let_19 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_10 tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_41)) _let_42 :args (_let_17 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args _let_46) :args _let_49)) _let_48 :args (_let_15 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args _let_46) :args _let_45)) _let_44 :args (_let_14 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.a tptp.a tptp.a QUANTIFIERS_INST_ENUM)) :args _let_41)) _let_42 :args (_let_13 false _let_7)) (SYMM (ASSUME :args (_let_2))) _let_40 :args (false false _let_39 false _let_38 false _let_36 false _let_34 false _let_33 false _let_31 false _let_30 false _let_28 false _let_27 false _let_25 false _let_22 false _let_21 false _let_20 false _let_19 false _let_17 false _let_15 false _let_14 false _let_13 true _let_9 false _let_8)) :args (_let_7 _let_6 _let_5 _let_4 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.58 )
% 0.20/0.58 % SZS output end Proof for GRP001-4
% 0.20/0.58 % cvc5---1.0.5 exiting
% 0.20/0.58 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------