TSTP Solution File: SYN982-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN982-1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n027.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 : Fri Sep 1 02:05:44 EDT 2023
% Result : Unsatisfiable 0.21s 0.56s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN982-1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n027.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
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 21:06:05 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/sandbox2/tmp/tmp.GzgttAEhiD/cvc5---1.0.5_10194.p...
% 0.21/0.51 ------- get file name : TPTP file name is SYN982-1
% 0.21/0.51 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_10194.smt2...
% 0.21/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.56 % SZS status Unsatisfiable for SYN982-1
% 0.21/0.56 % SZS output start Proof for SYN982-1
% 0.21/0.57 (
% 0.21/0.57 (let ((_let_1 (forall ((U $$unsorted)) (or (not (tptp.ssIk (tptp.key U tptp.b))) (not (tptp.ssBk (tptp.key U tptp.a))))))) (let ((_let_2 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssM (tptp.sent U tptp.b (tptp.pair (tptp.encr (tptp.triple U V (tptp.tb W)) tptp.bt) (tptp.encr (tptp.nb W) V))))) (not (tptp.ssSb (tptp.pair U W))) (tptp.ssBk (tptp.key V U)))))) (let ((_let_3 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssM (tptp.sent U tptp.b (tptp.pair U V)))) (not (tptp.ssBf V)) (tptp.ssM (tptp.sent tptp.b tptp.t (tptp.triple tptp.b (tptp.nb V) (tptp.encr (tptp.triple U V (tptp.tb V)) tptp.bt)))))))) (let ((_let_4 (forall ((U $$unsorted) (V $$unsorted)) (let ((_let_1 (tptp.pair U V))) (or (not (tptp.ssM (tptp.sent U tptp.b _let_1))) (not (tptp.ssBf V)) (tptp.ssSb _let_1)))))) (let ((_let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssIm U)) (not (tptp.ssIk (tptp.key V W))) (not (tptp.ssP W)) (tptp.ssIm (tptp.encr U V)))))) (let ((_let_6 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssIm U)) (not (tptp.ssP V)) (not (tptp.ssP W)) (tptp.ssM (tptp.sent V W U)))))) (let ((_let_7 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssIm U)) (not (tptp.ssIm V)) (tptp.ssIm (tptp.pair U V)))))) (let ((_let_8 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssIm U)) (not (tptp.ssP V)) (tptp.ssIk (tptp.key U V)))))) (let ((_let_9 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssM (tptp.sent U V W))) (tptp.ssIm W))))) (let ((_let_10 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssIm (tptp.triple U V W))) (tptp.ssIm V))))) (let ((_let_11 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssIm (tptp.triple U V W))) (tptp.ssIm W))))) (let ((_let_12 (tptp.pair tptp.a tptp.na))) (let ((_let_13 (tptp.ssM (tptp.sent tptp.a tptp.b _let_12)))) (let ((_let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssIm (tptp.pair U V))) (tptp.ssIm V))))) (let ((_let_15 (tptp.ssP tptp.a))) (let ((_let_16 (tptp.ssP tptp.b))) (let ((_let_17 (tptp.ssBf tptp.na))) (let ((_let_18 (tptp.key tptp.na tptp.a))) (let ((_let_19 (tptp.ssBk _let_18))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.ssIk (tptp.key tptp.na tptp.b)))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_20))) (let ((_let_24 (tptp.ssSb _let_12))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.nb tptp.na))) (let ((_let_27 (tptp.encr _let_26 tptp.na))) (let ((_let_28 (tptp.encr (tptp.triple tptp.a tptp.na (tptp.tb tptp.na)) tptp.bt))) (let ((_let_29 (tptp.pair _let_28 _let_27))) (let ((_let_30 (tptp.ssM (tptp.sent tptp.a tptp.b _let_29)))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_31 _let_25 _let_19))) (let ((_let_33 (_let_2))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (not _let_16))) (let ((_let_36 (not _let_15))) (let ((_let_37 (tptp.ssIm _let_29))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_36 _let_35 _let_30))) (let ((_let_40 (_let_6))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (tptp.ssIm _let_27))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.ssIm _let_28))) (let ((_let_45 (not _let_44))) (let ((_let_46 (or _let_45 _let_43 _let_37))) (let ((_let_47 (_let_7))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 (tptp.ssIk _let_18))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.ssIm _let_26))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_52 _let_50 _let_36 _let_42))) (let ((_let_54 (_let_5))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (tptp.ssIm tptp.na))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_57 _let_36 _let_49))) (let ((_let_59 (_let_8))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 (tptp.ssIm _let_12))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_62 _let_56))) (let ((_let_64 (_let_14))) (let ((_let_65 (ASSUME :args _let_64))) (let ((_let_66 (not _let_13))) (let ((_let_67 (or _let_66 _let_61))) (let ((_let_68 (_let_9))) (let ((_let_69 (ASSUME :args _let_68))) (let ((_let_70 ((tptp.sent U V W)))) (let ((_let_71 (ASSUME :args (_let_13)))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_56 _let_62 (not _let_63)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_66 _let_61 (not _let_67)))) _let_71 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.a tptp.b _let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_68)) _let_69 :args (_let_67 false _let_9)) :args (_let_61 false _let_13 false _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.a tptp.na QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.pair U V)))) :args _let_64)) _let_65 :args (_let_63 false _let_14)) :args (_let_56 false _let_61 false _let_63)))) (let ((_let_73 (ASSUME :args (_let_15)))) (let ((_let_74 (tptp.triple tptp.b _let_26 _let_28))) (let ((_let_75 (tptp.ssIm _let_74))) (let ((_let_76 (not _let_75))) (let ((_let_77 (or _let_76 _let_51))) (let ((_let_78 (_let_10))) (let ((_let_79 (ASSUME :args _let_78))) (let ((_let_80 (tptp.ssM (tptp.sent tptp.b tptp.t _let_74)))) (let ((_let_81 (not _let_80))) (let ((_let_82 (or _let_81 _let_75))) (let ((_let_83 (not _let_17))) (let ((_let_84 (or _let_66 _let_83 _let_80))) (let ((_let_85 (_let_3))) (let ((_let_86 (ASSUME :args _let_85))) (let ((_let_87 (ASSUME :args (_let_17)))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_81 _let_75 (not _let_82)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_83 _let_66 _let_80 (not _let_84)))) _let_87 _let_71 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.a tptp.na QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.pair U V)))) :args _let_85)) _let_86 :args (_let_84 false _let_3)) :args (_let_80 false _let_17 false _let_13 false _let_84)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.b tptp.t _let_74 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_68)) _let_69 :args (_let_82 false _let_9)) :args (_let_75 false _let_80 false _let_82)))) (let ((_let_89 (or _let_76 _let_44))) (let ((_let_90 (_let_11))) (let ((_let_91 (ASSUME :args _let_90))) (let ((_let_92 (ASSUME :args (_let_16)))) (let ((_let_93 (or _let_66 _let_83 _let_24))) (let ((_let_94 (_let_4))) (let ((_let_95 (ASSUME :args _let_94))) (let ((_let_96 (_let_1))) (let ((_let_97 (ASSUME :args _let_96))) (let ((_let_98 (or _let_57 _let_35 _let_21))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_20 _let_22 (not _let_23)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_35 _let_57 _let_21 (not _let_98)))) _let_92 _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.na tptp.b QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.ssIm U) false)) (not (= (tptp.ssP V) false))))) :args _let_59)) _let_60 :args (_let_98 false _let_8)) :args (_let_21 false _let_16 false _let_56 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (tptp.na QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.key U tptp.a)))) :args _let_96)) _let_97 :args (_let_23 false _let_1)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_25 _let_31 _let_19 (not _let_32)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_83 _let_66 _let_24 (not _let_93)))) _let_87 _let_71 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.a tptp.na QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.pair U V)))) :args _let_94)) _let_95 :args (_let_93 false _let_4)) :args (_let_24 false _let_17 false _let_13 false _let_93)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_35 _let_36 _let_30 _let_38 (not _let_39)))) _let_92 _let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_45 _let_37 _let_43 (not _let_46)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_76 _let_44 (not _let_89)))) _let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (tptp.b _let_26 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.triple U V W)))) :args _let_90)) _let_91 :args (_let_89 false _let_11)) :args (_let_44 false _let_75 false _let_89)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_36 _let_52 _let_42 _let_50 (not _let_53)))) _let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_76 _let_51 (not _let_77)))) _let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (tptp.b _let_26 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.triple U V W)))) :args _let_78)) _let_79 :args (_let_77 false _let_10)) :args (_let_51 false _let_75 false _let_77)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_36 _let_57 _let_49 (not _let_58)))) _let_73 _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.na tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.key U V)))) :args _let_59)) _let_60 :args (_let_58 false _let_8)) :args (_let_49 false _let_15 false _let_56 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_26 tptp.na tptp.a QUANTIFIERS_INST_E_MATCHING ((tptp.key V W) (tptp.encr U V)))) :args _let_54)) _let_55 :args (_let_53 false _let_5)) :args (_let_42 false _let_15 false _let_51 false _let_49 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_28 _let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.pair U V)))) :args _let_47)) _let_48 :args (_let_46 false _let_7)) :args (_let_37 false _let_44 false _let_42 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_29 tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sent V W U)))) :args _let_40)) _let_41 :args (_let_39 false _let_6)) :args (_let_30 false _let_16 false _let_15 false _let_37 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.a tptp.na tptp.na QUANTIFIERS_INST_E_MATCHING ((tptp.triple U V (tptp.tb W))))) :args _let_33)) _let_34 :args (_let_32 false _let_2)) :args (_let_19 false _let_24 false _let_30 false _let_32)) :args (false false _let_21 false _let_23 false _let_19)) :args ((tptp.ssNonce tptp.na) (tptp.ssP tptp.t) _let_17 _let_16 _let_15 (forall ((U $$unsorted)) (tptp.ssNonce (tptp.nb U))) (forall ((U $$unsorted)) (tptp.ssNonce (tptp.tb U))) (forall ((U $$unsorted)) (not (tptp.ssNonce (tptp.kt U)))) (tptp.ssTk (tptp.key tptp.bt tptp.b)) (tptp.ssTk (tptp.key tptp.at tptp.a)) (tptp.ssBk (tptp.key tptp.bt tptp.t)) (tptp.ssSa (tptp.pair tptp.b tptp.na)) (tptp.ssAk (tptp.key tptp.at tptp.t)) _let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssIm (tptp.pair U V))) (tptp.ssIm U))) _let_13 _let_11 _let_10 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssIm (tptp.triple U V W))) (tptp.ssIm U))) _let_9 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssIm (tptp.quadr U V W X))) (tptp.ssIm X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssIm (tptp.quadr U V W X))) (tptp.ssIm W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssIm (tptp.quadr U V W X))) (tptp.ssIm V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssIm (tptp.quadr U V W X))) (tptp.ssIm U))) _let_8 _let_7 _let_6 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssIm U)) (not (tptp.ssIm V)) (not (tptp.ssIm W)) (tptp.ssIm (tptp.triple U V W)))) _let_5 _let_4 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssIm U)) (not (tptp.ssIm V)) (not (tptp.ssIm W)) (not (tptp.ssIm X)) (tptp.ssIm (tptp.quadr U V W X)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.ssM (tptp.sent tptp.t tptp.a (tptp.triple (tptp.encr (tptp.quadr U V W X) tptp.at) Y Z)))) (not (tptp.ssSa (tptp.pair U V))) (tptp.ssAk (tptp.key W U)))) _let_3 _let_2 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.ssM (tptp.sent tptp.t tptp.a (tptp.triple (tptp.encr (tptp.quadr U V W X) tptp.at) Y Z)))) (not (tptp.ssSa (tptp.pair U V))) (tptp.ssM (tptp.sent tptp.a U (tptp.pair Y (tptp.encr Z W)))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.kt X))) (or (not (tptp.ssM (tptp.sent U tptp.t (tptp.triple U V (tptp.encr (tptp.triple W X Y) Z))))) (not (tptp.ssTk (tptp.key Z U))) (not (tptp.ssTk (tptp.key X1 W))) (not (tptp.ssNonce X)) (tptp.ssM (tptp.sent tptp.t W (tptp.triple (tptp.encr (tptp.quadr U X _let_1 Y) X1) (tptp.encr (tptp.triple W _let_1 Y) Z) V)))))) _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.57 )
% 0.21/0.57 % SZS output end Proof for SYN982-1
% 0.21/0.57 % cvc5---1.0.5 exiting
% 0.21/0.57 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------