TSTP Solution File: SWW410-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWW410-1 : TPTP v8.1.2. Released v5.2.0.
% 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 : Fri Sep  1 00:20:43 EDT 2023

% Result   : Unsatisfiable 0.58s 0.78s
% Output   : Proof 0.58s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWW410-1 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.13  % 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   : Sun Aug 27 20:42:52 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.47  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.7sBXcWtfdi/cvc5---1.0.5_19274.p...
% 0.20/0.48  ------- get file name : TPTP file name is SWW410-1
% 0.20/0.48  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_19274.smt2...
% 0.20/0.48  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.58/0.78  % SZS status Unsatisfiable for SWW410-1
% 0.58/0.78  % SZS output start Proof for SWW410-1
% 0.58/0.79  (
% 0.58/0.79  (let ((_let_1 (tptp.lseg tptp.x2 tptp.x3))) (let ((_let_2 (tptp.sep _let_1 tptp.emp))) (let ((_let_3 (tptp.lseg tptp.x3 tptp.nil))) (let ((_let_4 (tptp.sep _let_3 _let_2))) (let ((_let_5 (tptp.heap _let_4))) (let ((_let_6 (not _let_5))) (let ((_let_7 (tptp.next tptp.x1 tptp.x3))) (let ((_let_8 (tptp.sep _let_7 tptp.emp))) (let ((_let_9 (tptp.sep _let_3 _let_8))) (let ((_let_10 (tptp.lseg tptp.x2 tptp.x1))) (let ((_let_11 (tptp.sep _let_10 _let_9))) (let ((_let_12 (tptp.heap _let_11))) (let ((_let_13 (= tptp.x1 tptp.x3))) (let ((_let_14 (not _let_13))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted) (Sigma $$unsorted)) (let ((_let_1 (tptp.sep (tptp.lseg Z W) Sigma))) (or (not (tptp.heap (tptp.sep (tptp.lseg X Y) (tptp.sep (tptp.lseg Y Z) _let_1)))) (= Z W) (tptp.heap (tptp.sep (tptp.lseg X Z) _let_1))))))) (let ((_let_16 (forall ((X $$unsorted) (Y $$unsorted) (Sigma $$unsorted)) (or (not (tptp.heap (tptp.sep (tptp.lseg X Y) (tptp.sep (tptp.lseg Y tptp.nil) Sigma)))) (tptp.heap (tptp.sep (tptp.lseg X tptp.nil) Sigma)))))) (let ((_let_17 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (Sigma $$unsorted)) (or (not (tptp.heap (tptp.sep (tptp.next X Y) (tptp.sep (tptp.lseg Y Z) Sigma)))) (= X Y) (tptp.heap (tptp.sep (tptp.lseg X Z) Sigma)))))) (let ((_let_18 (forall ((X $$unsorted) (Sigma $$unsorted)) (= (tptp.sep (tptp.lseg X X) Sigma) Sigma)))) (let ((_let_19 (forall ((S $$unsorted) (T $$unsorted) (Sigma $$unsorted)) (= (tptp.sep S (tptp.sep T Sigma)) (tptp.sep T (tptp.sep S Sigma)))))) (let ((_let_20 (tptp.heap (tptp.sep (tptp.lseg tptp.x2 tptp.nil) tptp.emp)))) (let ((_let_21 (tptp.lseg tptp.x3 tptp.x3))) (let ((_let_22 (tptp.sep _let_21 tptp.emp))) (let ((_let_23 (= tptp.emp _let_22))) (let ((_let_24 (= (tptp.sep _let_1 _let_22) (tptp.sep _let_21 _let_2)))) (let ((_let_25 (= tptp.nil tptp.x3))) (let ((_let_26 (ASSUME :args (_let_6)))) (let ((_let_27 (tptp.lseg tptp.x1 tptp.nil))) (let ((_let_28 (tptp.sep _let_10 (tptp.sep _let_27 tptp.emp)))) (let ((_let_29 (tptp.heap _let_28))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_20))) (let ((_let_32 (_let_16))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (tptp.sep _let_10 tptp.emp))) (let ((_let_35 (tptp.sep _let_27 _let_34))) (let ((_let_36 (= _let_35 _let_28))) (let ((_let_37 (tptp.heap _let_35))) (let ((_let_38 (_let_19))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 ((tptp.sep S (tptp.sep T Sigma))))) (let ((_let_41 (tptp.sep _let_7 (tptp.sep _let_3 _let_34)))) (let ((_let_42 (tptp.heap _let_41))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 _let_13 _let_37))) (let ((_let_45 (_let_17))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 ((tptp.sep (tptp.next X Y) (tptp.sep (tptp.lseg Y Z) Sigma))))) (let ((_let_48 (tptp.sep _let_7 _let_34))) (let ((_let_49 (= (tptp.sep _let_3 _let_48) _let_41))) (let ((_let_50 (tptp.sep _let_10 _let_8))) (let ((_let_51 (= _let_50 _let_48))) (let ((_let_52 (= _let_11 (tptp.sep _let_3 _let_50)))) (let ((_let_53 (ASSUME :args (_let_12)))) (let ((_let_54 (and _let_12 _let_52 _let_51 _let_49))) (let ((_let_55 (_let_12 _let_52 _let_51 _let_49))) (let ((_let_56 (TRUE_INTRO _let_53))) (let ((_let_57 (APPLY_UF tptp.heap))) (let ((_let_58 (ASSUME :args (_let_52)))) (let ((_let_59 (APPLY_UF tptp.sep))) (let ((_let_60 (ASSUME :args (_let_51)))) (let ((_let_61 (ASSUME :args (_let_49)))) (let ((_let_62 (ASSUME :args (_let_14)))) (let ((_let_63 (and _let_37 _let_36))) (let ((_let_64 (_let_37 _let_36))) (let ((_let_65 (ASSUME :args (_let_37)))) (let ((_let_66 (ASSUME :args (_let_36)))) (let ((_let_67 (forall ((X $$unsorted) (Sigma $$unsorted)) (= Sigma (tptp.sep (tptp.lseg X X) Sigma))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_69 (_let_67))) (let ((_let_70 ((tptp.sep (tptp.lseg X X) Sigma)))) (let ((_let_71 (tptp.sep _let_3 tptp.emp))) (let ((_let_72 (tptp.sep _let_1 _let_71))) (let ((_let_73 (tptp.heap _let_72))) (let ((_let_74 (tptp.lseg tptp.x1 tptp.x3))) (let ((_let_75 (tptp.sep _let_10 (tptp.sep _let_74 _let_71)))) (let ((_let_76 (tptp.heap _let_75))) (let ((_let_77 (not _let_76))) (let ((_let_78 (or _let_77 _let_25 _let_73))) (let ((_let_79 (_let_15))) (let ((_let_80 (ASSUME :args _let_79))) (let ((_let_81 (= _let_4 _let_72))) (let ((_let_82 (not _let_73))) (let ((_let_83 (or))) (let ((_let_84 (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))))) (let ((_let_85 (and _let_6 _let_81))) (let ((_let_86 (_let_6 _let_81))) (let ((_let_87 (FALSE_INTRO _let_26))) (let ((_let_88 (ASSUME :args (_let_81)))) (let ((_let_89 (tptp.sep _let_10 _let_71))) (let ((_let_90 (tptp.sep _let_74 _let_89))) (let ((_let_91 (tptp.heap _let_90))) (let ((_let_92 (= _let_75 _let_90))) (let ((_let_93 (tptp.sep _let_21 _let_89))) (let ((_let_94 (tptp.heap (tptp.sep _let_7 _let_93)))) (let ((_let_95 (not _let_94))) (let ((_let_96 (or _let_95 _let_13 _let_91))) (let ((_let_97 (tptp.sep _let_21 _let_71))) (let ((_let_98 (= (tptp.sep _let_10 _let_97) _let_93))) (let ((_let_99 (= _let_71 _let_97))) (let ((_let_100 (tptp.sep _let_7 _let_71))) (let ((_let_101 (= (tptp.sep _let_10 _let_100) (tptp.sep _let_7 _let_89)))) (let ((_let_102 (= _let_9 _let_100))) (let ((_let_103 (and _let_12 _let_102 _let_101 _let_99 _let_98))) (let ((_let_104 (_let_12 _let_102 _let_101 _let_99 _let_98))) (let ((_let_105 (ASSUME :args (_let_102)))) (let ((_let_106 (REFL :args (_let_10)))) (let ((_let_107 (ASSUME :args (_let_101)))) (let ((_let_108 (ASSUME :args (_let_99)))) (let ((_let_109 (ASSUME :args (_let_98)))) (let ((_let_110 (and _let_92 _let_91))) (let ((_let_111 (ASSUME :args (_let_91)))) (let ((_let_112 (ASSUME :args (_let_92)))) (let ((_let_113 (ASSUME :args (_let_23)))) (let ((_let_114 (CONG (REFL :args (_let_1)) (SYMM _let_113) :args _let_59))) (let ((_let_115 (ASSUME :args (_let_24)))) (let ((_let_116 (TRANS (SYMM _let_115) _let_114))) (let ((_let_117 (APPLY_UF tptp.lseg))) (let ((_let_118 (ASSUME :args (_let_25)))) (let ((_let_119 (ASSUME :args (_let_20)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_26 _let_118 _let_113 _let_115 _let_119) :args (_let_6 _let_25 _let_20 _let_23 _let_24)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_119)) (CONG (TRANS (CONG (CONG (REFL :args (tptp.x2)) _let_118 :args _let_117) (REFL :args (tptp.emp)) :args _let_59) (SYMM _let_114) _let_115 (CONG (REFL :args (_let_21)) (SYMM _let_116) :args _let_59) (CONG (CONG (REFL :args (tptp.x3)) (SYMM _let_118) :args _let_117) _let_116 :args _let_59)) :args _let_57) _let_87)) :args (_let_6 _let_25 _let_23 _let_24 _let_20)) :args ((not (and _let_6 _let_25 _let_20 _let_23 _let_24)) SB_LITERAL))) (CONG _let_84 (REFL :args ((not _let_25))) (REFL :args ((not _let_20))) (REFL :args ((not _let_23))) (REFL :args ((not _let_24))) :args _let_83)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_25 _let_77 _let_73 (not _let_78)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_110)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_111 _let_112) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM (SYMM _let_112)) :args _let_57) (TRUE_INTRO _let_111))) :args (_let_91 _let_92))) :args (_let_92 _let_91))) :args (true _let_110)) :args ((or _let_76 (not _let_92) (not _let_91)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_10 _let_74 _let_71 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_38)) _let_39 :args (_let_92 false _let_19)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_13 _let_95 _let_91 (not _let_96)))) _let_62 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_103)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_53 _let_105 _let_107 _let_108 _let_109) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (CONG (REFL :args (_let_7)) (TRANS (SYMM _let_109) (CONG _let_106 (SYMM _let_108) :args _let_59)) :args _let_59) (SYMM _let_107) (CONG _let_106 (SYMM _let_105) :args _let_59)) :args _let_57) _let_56)) :args _let_104)) :args _let_104)) :args (true _let_103)) _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_3 _let_7 tptp.emp QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_38)) _let_39 :args (_let_102 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_10 _let_7 _let_71 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_38)) _let_39 :args (_let_101 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (tptp.x3 _let_71 QUANTIFIERS_INST_E_MATCHING _let_70)) :args _let_69)) _let_68 :args (_let_99 false _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_10 _let_21 _let_71 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_38)) _let_39 :args (_let_98 false _let_19)) :args (_let_94 false _let_12 false _let_102 false _let_101 false _let_99 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.x1 tptp.x3 tptp.x3 _let_89 QUANTIFIERS_INST_E_MATCHING _let_47)) :args _let_45)) _let_46 :args (_let_96 false _let_17)) :args (_let_91 true _let_13 false _let_94 false _let_96)) :args (_let_76 false _let_92 false _let_91)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_85)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_26 _let_88) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_88) :args _let_57) _let_87)) :args _let_86)) :args _let_86)) :args (true _let_85)) (CONG _let_84 (REFL :args ((not _let_81))) (REFL :args (_let_82)) :args _let_83)) _let_26 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_3 _let_1 tptp.emp QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_38)) _let_39 :args (_let_81 false _let_19)) :args (_let_82 true _let_5 false _let_81)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_80 :args (tptp.x2 tptp.x1 tptp.x3 tptp.nil tptp.emp QUANTIFIERS_INST_E_MATCHING ((tptp.sep (tptp.lseg X Z) (tptp.sep (tptp.lseg Z W) Sigma)) (tptp.lseg X Y)))) :args _let_79))) _let_80 :args (_let_78 false _let_15)) :args (_let_25 false _let_76 true _let_73 false _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_1 _let_21 tptp.emp QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_38)) _let_39 :args (_let_24 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (tptp.x3 tptp.emp QUANTIFIERS_INST_E_MATCHING _let_70)) :args _let_69)) _let_68 :args (_let_23 false _let_67)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_20 (not _let_31)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_63)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_65 _let_66) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_66) :args _let_57) (TRUE_INTRO _let_65))) :args _let_64)) :args _let_64)) :args (true _let_63)) :args ((or _let_29 (not _let_37) (not _let_36)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_13 _let_43 _let_37 (not _let_44)))) _let_62 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_54)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_53 _let_58 _let_60 _let_61) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (SYMM _let_61) (CONG (REFL :args (_let_3)) (SYMM _let_60) :args _let_59) (SYMM _let_58)) :args _let_57) _let_56)) :args _let_55)) :args _let_55)) :args (true _let_54)) _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_10 _let_3 _let_8 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_38)) _let_39 :args (_let_52 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_10 _let_7 tptp.emp QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_38)) _let_39 :args (_let_51 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_3 _let_7 _let_34 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_38)) _let_39 :args (_let_49 false _let_19)) :args (_let_42 false _let_12 false _let_52 false _let_51 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.x1 tptp.x3 tptp.nil _let_34 QUANTIFIERS_INST_E_MATCHING _let_47)) :args _let_45)) _let_46 :args (_let_44 false _let_17)) :args (_let_37 true _let_13 false _let_42 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_10 _let_27 tptp.emp QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_38))) _let_39 :args (_let_36 false _let_19)) :args (_let_29 false _let_37 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.x2 tptp.x1 tptp.emp QUANTIFIERS_INST_E_MATCHING ((tptp.lseg X Y) (tptp.sep (tptp.lseg Y tptp.nil) Sigma)))) :args _let_32)) _let_33 :args (_let_31 false _let_16)) :args (_let_20 false _let_29 false _let_31)) _let_26 :args (false false _let_25 false _let_24 false _let_23 false _let_20 true _let_5)) :args (_let_19 _let_18 (forall ((Y $$unsorted) (Sigma $$unsorted)) (not (tptp.heap (tptp.sep (tptp.next tptp.nil Y) Sigma)))) (forall ((Y $$unsorted) (Sigma $$unsorted)) (or (not (tptp.heap (tptp.sep (tptp.lseg tptp.nil Y) Sigma))) (= Y tptp.nil))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (Sigma $$unsorted)) (not (tptp.heap (tptp.sep (tptp.next X Y) (tptp.sep (tptp.next X Z) Sigma))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (Sigma $$unsorted)) (or (not (tptp.heap (tptp.sep (tptp.next X Y) (tptp.sep (tptp.lseg X Z) Sigma)))) (= X Z))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (Sigma $$unsorted)) (or (not (tptp.heap (tptp.sep (tptp.lseg X Y) (tptp.sep (tptp.lseg X Z) Sigma)))) (= X Y) (= X Z))) _let_17 _let_16 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted) (Sigma $$unsorted)) (let ((_let_1 (tptp.sep (tptp.next Z W) Sigma))) (or (not (tptp.heap (tptp.sep (tptp.lseg X Y) (tptp.sep (tptp.lseg Y Z) _let_1)))) (tptp.heap (tptp.sep (tptp.lseg X Z) _let_1))))) _let_15 (not (= tptp.nil tptp.x1)) (not (= tptp.nil tptp.x2)) _let_14 (not (= tptp.x3 tptp.x2)) _let_12 _let_6))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.58/0.79  )
% 0.58/0.79  % SZS output end Proof for SWW410-1
% 0.58/0.79  % cvc5---1.0.5 exiting
% 0.58/0.80  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------