TSTP Solution File: LCL194-3 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL194-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n016.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 07:01:06 EDT 2023

% Result   : Unsatisfiable 29.01s 29.20s
% Output   : Proof 29.01s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : LCL194-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.18/0.36  % Computer : n016.cluster.edu
% 0.18/0.36  % Model    : x86_64 x86_64
% 0.18/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36  % Memory   : 8042.1875MB
% 0.18/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36  % CPULimit   : 300
% 0.18/0.36  % WCLimit    : 300
% 0.18/0.36  % DateTime   : Fri Aug 25 04:37:55 EDT 2023
% 0.18/0.37  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Q8JsaPUTyq/cvc5---1.0.5_31849.p...
% 0.21/0.52  ------- get file name : TPTP file name is LCL194-3
% 0.21/0.52  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_31849.smt2...
% 0.21/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.46/10.71  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.56/15.76  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.55/20.82  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.64/25.87  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 29.01/29.20  % SZS status Unsatisfiable for LCL194-3
% 29.01/29.20  % SZS output start Proof for LCL194-3
% 29.01/29.21  (
% 29.01/29.21  (let ((_let_1 (tptp.or tptp.p tptp.r))) (let ((_let_2 (tptp.or tptp.q tptp.p))) (let ((_let_3 (tptp.implies _let_2 _let_1))) (let ((_let_4 (tptp.implies tptp.q tptp.r))) (let ((_let_5 (tptp.implies _let_4 _let_3))) (let ((_let_6 (tptp.theorem _let_5))) (let ((_let_7 (not _let_6))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.theorem X) (not (tptp.theorem (tptp.implies Y X))) (not (tptp.theorem Y)))))) (let ((_let_9 (forall ((X $$unsorted)) (or (tptp.theorem X) (not (tptp.axiom X)))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies X Y) (tptp.or (tptp.not X) Y))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.axiom (tptp.implies (tptp.implies A B) (tptp.implies (tptp.or C A) (tptp.or C B))))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.axiom (tptp.implies (tptp.or A (tptp.or B C)) (tptp.or B (tptp.or A C))))))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted)) (tptp.axiom (tptp.implies (tptp.or A B) (tptp.or B A)))))) (let ((_let_14 (tptp.not _let_2))) (let ((_let_15 (tptp.or _let_14 _let_1))) (let ((_let_16 (= _let_3 _let_15))) (let ((_let_17 (tptp.or tptp.p tptp.q))) (let ((_let_18 (tptp.or _let_14 _let_17))) (let ((_let_19 (tptp.implies _let_2 _let_17))) (let ((_let_20 (= _let_19 _let_18))) (let ((_let_21 (tptp.implies _let_17 _let_1))) (let ((_let_22 (tptp.not _let_21))) (let ((_let_23 (tptp.implies _let_21 _let_3))) (let ((_let_24 (= _let_23 (tptp.or _let_22 _let_3)))) (let ((_let_25 (tptp.or _let_22 _let_15))) (let ((_let_26 (tptp.not _let_18))) (let ((_let_27 (tptp.or _let_26 _let_25))) (let ((_let_28 (= _let_27 (tptp.implies _let_18 _let_25)))) (let ((_let_29 (tptp.theorem _let_27))) (let ((_let_30 (tptp.theorem (tptp.implies _let_19 _let_23)))) (let ((_let_31 (_let_10))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 ((tptp.implies X Y)))) (let ((_let_34 (tptp.or _let_26 _let_15))) (let ((_let_35 (tptp.or _let_22 _let_34))) (let ((_let_36 (tptp.theorem _let_35))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.implies _let_35 _let_27))) (let ((_let_39 (tptp.theorem _let_38))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_29 _let_40 _let_37))) (let ((_let_42 (_let_8))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 ((tptp.implies Y X)))) (let ((_let_45 (tptp.implies _let_18 _let_15))) (let ((_let_46 (tptp.implies _let_21 _let_45))) (let ((_let_47 (= _let_46 (tptp.or _let_22 _let_45)))) (let ((_let_48 (= _let_45 _let_34))) (let ((_let_49 (tptp.theorem _let_46))) (let ((_let_50 (tptp.axiom _let_46))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_49 _let_51))) (let ((_let_53 (_let_9))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 ((not (= (tptp.axiom X) false))))) (let ((_let_56 (_let_11))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 ((tptp.or C A) (tptp.or C B)))) (let ((_let_59 (and _let_48 _let_47 _let_49))) (let ((_let_60 (ASSUME :args (_let_49)))) (let ((_let_61 (APPLY_UF tptp.theorem))) (let ((_let_62 (ASSUME :args (_let_47)))) (let ((_let_63 (APPLY_UF tptp.or))) (let ((_let_64 (ASSUME :args (_let_48)))) (let ((_let_65 (REFL :args (_let_22)))) (let ((_let_66 (tptp.axiom _let_38))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_39 _let_67))) (let ((_let_69 (_let_12))) (let ((_let_70 (ASSUME :args _let_69))) (let ((_let_71 (tptp.theorem _let_19))) (let ((_let_72 (not _let_71))) (let ((_let_73 (not _let_30))) (let ((_let_74 (tptp.theorem _let_23))) (let ((_let_75 (or _let_74 _let_73 _let_72))) (let ((_let_76 (not _let_74))) (let ((_let_77 (tptp.not _let_4))) (let ((_let_78 (tptp.or _let_77 _let_3))) (let ((_let_79 (tptp.or _let_77 _let_21))) (let ((_let_80 (tptp.implies _let_79 _let_78))) (let ((_let_81 (tptp.implies _let_23 _let_80))) (let ((_let_82 (tptp.theorem _let_81))) (let ((_let_83 (not _let_82))) (let ((_let_84 (tptp.theorem _let_80))) (let ((_let_85 (or _let_84 _let_83 _let_76))) (let ((_let_86 (tptp.axiom _let_81))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_82 _let_87))) (let ((_let_89 (tptp.theorem _let_79))) (let ((_let_90 (not _let_89))) (let ((_let_91 (not _let_84))) (let ((_let_92 (tptp.theorem _let_78))) (let ((_let_93 (or _let_92 _let_91 _let_90))) (let ((_let_94 (tptp.implies _let_4 _let_21))) (let ((_let_95 (= _let_94 _let_79))) (let ((_let_96 (tptp.theorem _let_94))) (let ((_let_97 (tptp.axiom _let_94))) (let ((_let_98 (not _let_97))) (let ((_let_99 (or _let_96 _let_98))) (let ((_let_100 (and _let_95 _let_96))) (let ((_let_101 (ASSUME :args (_let_96)))) (let ((_let_102 (ASSUME :args (_let_95)))) (let ((_let_103 (= _let_5 _let_78))) (let ((_let_104 (not _let_92))) (let ((_let_105 (ASSUME :args (_let_7)))) (let ((_let_106 (or))) (let ((_let_107 (and _let_7 _let_103))) (let ((_let_108 (_let_7 _let_103))) (let ((_let_109 (ASSUME :args (_let_103)))) (let ((_let_110 (tptp.axiom _let_19))) (let ((_let_111 (not _let_110))) (let ((_let_112 (or _let_71 _let_111))) (let ((_let_113 (_let_13))) (let ((_let_114 (ASSUME :args _let_113))) (let ((_let_115 (ASSUME :args (_let_73)))) (let ((_let_116 (ASSUME :args (_let_24)))) (let ((_let_117 (ASSUME :args (_let_16)))) (let ((_let_118 (ASSUME :args (_let_20)))) (let ((_let_119 (ASSUME :args (_let_28)))) (let ((_let_120 (ASSUME :args (_let_29)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_115 _let_118 _let_116 _let_117 _let_119 _let_120) :args (_let_16 _let_20 _let_24 _let_28 _let_29 _let_73)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_120)) (CONG (TRANS (SYMM (SYMM _let_119)) (CONG (SYMM _let_118) (TRANS (CONG _let_65 (SYMM _let_117) :args _let_63) (SYMM _let_116)) :args (APPLY_UF tptp.implies))) :args _let_61) (FALSE_INTRO _let_115))) :args (_let_73 _let_20 _let_24 _let_16 _let_28 _let_29)) :args ((not (and _let_16 _let_20 _let_24 _let_28 _let_29 _let_73)) SB_LITERAL))) (CONG (REFL :args ((not _let_16))) (REFL :args ((not _let_20))) (REFL :args ((not _let_24))) (REFL :args ((not _let_28))) (REFL :args ((not _let_29))) (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_30))) :args _let_106)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_72 _let_74 _let_73 (not _let_75)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_112)) :args ((or _let_111 _let_71 (not _let_112)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (tptp.q tptp.p QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.or A B)))) :args _let_113)) _let_114 :args (_let_110 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_53)) _let_54 :args (_let_112 false _let_9)) :args (_let_71 false _let_110 false _let_112)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_84 _let_83 _let_76 (not _let_85)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_92 _let_91 _let_90 (not _let_93)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_107)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_105 _let_109) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_109) :args _let_61) (FALSE_INTRO _let_105))) :args _let_108)) :args _let_108)) :args (true _let_107)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_6))) (REFL :args ((not _let_103))) (REFL :args (_let_104)) :args _let_106)) _let_105 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_4 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_31)) _let_32 :args (_let_103 false _let_10)) :args (_let_104 true _let_6 false _let_103)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_100)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_101 _let_102) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_102) :args _let_61) (TRUE_INTRO _let_101))) :args (_let_96 _let_95))) :args (_let_95 _let_96))) :args (true _let_100)) :args ((or (not _let_96) (not _let_95) _let_89))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_99)) :args ((or _let_98 _let_96 (not _let_99)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.q tptp.r tptp.p QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_56)) _let_57 :args (_let_97 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_94 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_53)) _let_54 :args (_let_99 false _let_9)) :args (_let_96 false _let_97 false _let_99)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_4 _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_31)) _let_32 :args (_let_95 false _let_10)) :args (_let_89 false _let_96 false _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_78 _let_79 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_42)) _let_43 :args (_let_93 false _let_8)) :args (_let_91 true _let_92 false _let_89 false _let_93)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_87 _let_82 (not _let_88)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_21 _let_3 _let_77 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_56)) _let_57 :args (_let_86 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_81 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_53)) _let_54 :args (_let_88 false _let_9)) :args (_let_82 false _let_86 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_80 _let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_42)) _let_43 :args (_let_85 false _let_8)) :args (_let_76 true _let_84 false _let_82 false _let_85)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_23 _let_19 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_42)) _let_43 :args (_let_75 false _let_8)) :args (_let_73 false _let_71 true _let_74 false _let_75)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_29 _let_40 _let_37 (not _let_41)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_67 _let_39 (not _let_68)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_22 _let_26 _let_15 QUANTIFIERS_INST_E_MATCHING ((tptp.or A (tptp.or B C))))) :args _let_69)) _let_70 :args (_let_66 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_38 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_53)) _let_54 :args (_let_68 false _let_9)) :args (_let_39 false _let_66 false _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_59)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_60 _let_62 _let_64) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (CONG _let_65 (SYMM _let_64) :args _let_63) (SYMM _let_62)) :args _let_61) (TRUE_INTRO _let_60))) :args (_let_49 _let_47 _let_48))) :args (_let_48 _let_47 _let_49))) :args (true _let_59)) :args ((or (not _let_49) (not _let_48) (not _let_47) _let_36))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_51 _let_49 (not _let_52)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_17 _let_1 _let_14 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_56)) _let_57 :args (_let_50 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_46 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_53)) _let_54 :args (_let_52 false _let_9)) :args (_let_49 false _let_50 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_18 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_31)) _let_32 :args (_let_48 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_21 _let_45 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_31)) _let_32 :args (_let_47 false _let_10)) :args (_let_36 false _let_49 false _let_48 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_27 _let_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_42)) _let_43 :args (_let_41 false _let_8)) :args (_let_29 false _let_39 false _let_36 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_18 _let_25 QUANTIFIERS_INST_E_MATCHING ((tptp.or (tptp.not X) Y)))) :args _let_31))) _let_32 :args (_let_28 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_21 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_31)) _let_32 :args (_let_24 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_2 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_31)) _let_32 :args (_let_20 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_31)) _let_32 :args (_let_16 false _let_10)) :args (false true _let_30 false _let_29 false _let_28 false _let_24 false _let_20 false _let_16)) :args ((forall ((A $$unsorted)) (tptp.axiom (tptp.implies (tptp.or A A) A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.axiom (tptp.implies A (tptp.or B A)))) _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 29.01/29.21  )
% 29.01/29.22  % SZS output end Proof for LCL194-3
% 29.01/29.22  % cvc5---1.0.5 exiting
% 29.01/29.22  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------