TSTP Solution File: LCL321-3 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL321-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n023.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 07:01:36 EDT 2023

% Result   : Unsatisfiable 0.37s 0.56s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL321-3 : TPTP v8.1.2. Released v2.3.0.
% 0.03/0.13  % Command    : do_cvc5 %s %d
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Fri Aug 25 01:32:57 EDT 2023
% 0.12/0.34  % CPUTime    : 
% 0.19/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.47  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.es1ztZ8V7v/cvc5---1.0.5_22330.p...
% 0.19/0.48  ------- get file name : TPTP file name is LCL321-3
% 0.19/0.48  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_22330.smt2...
% 0.19/0.48  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.37/0.56  % SZS status Unsatisfiable for LCL321-3
% 0.37/0.56  % SZS output start Proof for LCL321-3
% 0.37/0.57  (
% 0.37/0.57  (let ((_let_1 (tptp.not tptp.q))) (let ((_let_2 (tptp.implies tptp.p _let_1))) (let ((_let_3 (tptp.implies tptp.p tptp.q))) (let ((_let_4 (tptp.theorem (tptp.or _let_3 _let_2)))) (let ((_let_5 (not _let_4))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.theorem X) (not (tptp.theorem (tptp.implies Y X))) (not (tptp.theorem Y)))))) (let ((_let_7 (forall ((X $$unsorted)) (or (tptp.theorem X) (not (tptp.axiom X)))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies X Y) (tptp.or (tptp.not X) Y))))) (let ((_let_9 (forall ((A $$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_10 (forall ((A $$unsorted) (B $$unsorted)) (tptp.axiom (tptp.implies (tptp.or A B) (tptp.or B A)))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted)) (tptp.axiom (tptp.implies A (tptp.or B A)))))) (let ((_let_12 (tptp.not tptp.p))) (let ((_let_13 (tptp.or _let_12 tptp.q))) (let ((_let_14 (= _let_3 _let_13))) (let ((_let_15 (tptp.implies tptp.q _let_13))) (let ((_let_16 (= _let_15 (tptp.or _let_1 _let_13)))) (let ((_let_17 (tptp.theorem _let_15))) (let ((_let_18 (tptp.or _let_1 _let_3))) (let ((_let_19 (tptp.theorem _let_18))) (let ((_let_20 (_let_8))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 ((tptp.implies X Y)))) (let ((_let_23 (tptp.axiom _let_15))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_17 _let_24))) (let ((_let_26 (_let_7))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 ((not (= (tptp.axiom X) false))))) (let ((_let_29 (_let_11))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 ((tptp.or B A)))) (let ((_let_32 (not _let_19))) (let ((_let_33 (tptp.or _let_3 _let_1))) (let ((_let_34 (tptp.implies _let_18 _let_33))) (let ((_let_35 (tptp.theorem _let_34))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.theorem _let_33))) (let ((_let_38 (or _let_37 _let_36 _let_32))) (let ((_let_39 (_let_6))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 ((tptp.implies Y X)))) (let ((_let_42 (tptp.axiom _let_34))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_35 _let_43))) (let ((_let_45 (_let_10))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (not _let_37))) (let ((_let_48 (tptp.or _let_12 _let_33))) (let ((_let_49 (tptp.implies _let_33 _let_48))) (let ((_let_50 (tptp.theorem _let_49))) (let ((_let_51 (not _let_50))) (let ((_let_52 (tptp.theorem _let_48))) (let ((_let_53 (or _let_52 _let_51 _let_47))) (let ((_let_54 (tptp.axiom _let_49))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_50 _let_55))) (let ((_let_57 (not _let_52))) (let ((_let_58 (tptp.or _let_12 _let_1))) (let ((_let_59 (tptp.or _let_3 _let_58))) (let ((_let_60 (tptp.implies _let_48 _let_59))) (let ((_let_61 (tptp.theorem _let_60))) (let ((_let_62 (not _let_61))) (let ((_let_63 (tptp.theorem _let_59))) (let ((_let_64 (or _let_63 _let_62 _let_57))) (let ((_let_65 (tptp.axiom _let_60))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_61 _let_66))) (let ((_let_68 (_let_9))) (let ((_let_69 (ASSUME :args _let_68))) (let ((_let_70 (= _let_2 _let_58))) (let ((_let_71 (not _let_63))) (let ((_let_72 (ASSUME :args (_let_5)))) (let ((_let_73 (or))) (let ((_let_74 (and _let_5 _let_70))) (let ((_let_75 (_let_5 _let_70))) (let ((_let_76 (APPLY_UF tptp.theorem))) (let ((_let_77 (APPLY_UF tptp.or))) (let ((_let_78 (ASSUME :args (_let_70)))) (let ((_let_79 (ASSUME :args (_let_32)))) (let ((_let_80 (ASSUME :args (_let_14)))) (let ((_let_81 (ASSUME :args (_let_16)))) (let ((_let_82 (ASSUME :args (_let_17)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_79 _let_80 _let_81 _let_82) :args (_let_14 _let_16 _let_17 _let_32)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_82)) (CONG (TRANS (SYMM (SYMM _let_81)) (CONG (REFL :args (_let_1)) (SYMM _let_80) :args _let_77)) :args _let_76) (FALSE_INTRO _let_79))) :args (_let_32 _let_14 _let_16 _let_17)) :args ((not (and _let_14 _let_16 _let_17 _let_32)) SB_LITERAL))) (CONG (REFL :args ((not _let_14))) (REFL :args ((not _let_16))) (REFL :args ((not _let_17))) (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_19))) :args _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_37 _let_36 _let_32 (not _let_38)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_52 _let_51 _let_47 (not _let_53)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_63 _let_62 _let_57 (not _let_64)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_74)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_72 _let_78) (SCOPE (FALSE_ELIM (TRANS (CONG (CONG (REFL :args (_let_3)) (SYMM _let_78) :args _let_77) :args _let_76) (FALSE_INTRO _let_72))) :args _let_75)) :args _let_75)) :args (true _let_74)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) (REFL :args ((not _let_70))) (REFL :args (_let_71)) :args _let_73)) _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.p _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_22)) :args _let_20)) _let_21 :args (_let_70 false _let_8)) :args (_let_71 true _let_4 false _let_70)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_66 _let_61 (not _let_67)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_12 _let_3 _let_1 QUANTIFIERS_INST_E_MATCHING ((tptp.or B (tptp.or A C))))) :args _let_68)) _let_69 :args (_let_65 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_60 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_28)) :args _let_26)) _let_27 :args (_let_67 false _let_7)) :args (_let_61 false _let_65 false _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_59 _let_48 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_39)) _let_40 :args (_let_64 false _let_6)) :args (_let_57 true _let_63 false _let_61 false _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_55 _let_50 (not _let_56)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_33 _let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_29)) _let_30 :args (_let_54 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_49 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_28)) :args _let_26)) _let_27 :args (_let_56 false _let_7)) :args (_let_50 false _let_54 false _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_48 _let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_39)) _let_40 :args (_let_53 false _let_6)) :args (_let_47 true _let_52 false _let_50 false _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_43 _let_35 (not _let_44)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_1 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.or B A)))) :args _let_45)) _let_46 :args (_let_42 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_28)) :args _let_26)) _let_27 :args (_let_44 false _let_7)) :args (_let_35 false _let_42 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_33 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_39)) _let_40 :args (_let_38 false _let_6)) :args (_let_32 true _let_37 false _let_35 false _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_24 _let_17 (not _let_25)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.q _let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_29)) _let_30 :args (_let_23 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_28)) :args _let_26)) _let_27 :args (_let_25 false _let_7)) :args (_let_17 false _let_23 false _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.q _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_22)) :args _let_20)) _let_21 :args (_let_16 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.p tptp.q QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_22)) :args _let_20)) _let_21 :args (_let_14 false _let_8)) :args (false true _let_19 false _let_17 false _let_16 false _let_14)) :args ((forall ((A $$unsorted)) (tptp.axiom (tptp.implies (tptp.or A A) A))) _let_11 _let_10 _let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.axiom (tptp.implies (tptp.implies A B) (tptp.implies (tptp.or C A) (tptp.or C B))))) _let_8 _let_7 _let_6 _let_5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.37/0.57  )
% 0.37/0.57  % SZS output end Proof for LCL321-3
% 0.37/0.57  % cvc5---1.0.5 exiting
% 0.37/0.57  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------