TSTP Solution File: LCL188-3 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL188-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n002.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 07:01:04 EDT 2023

% Result   : Unsatisfiable 27.12s 27.38s
% Output   : Proof 27.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : LCL188-3 : TPTP v8.1.2. Released v2.3.0.
% 0.10/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n002.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   : Fri Aug 25 05:39:02 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.47  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.jmo240HL8F/cvc5---1.0.5_22871.p...
% 0.20/0.48  ------- get file name : TPTP file name is LCL188-3
% 0.20/0.48  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_22871.smt2...
% 0.20/0.48  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.40/10.63  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.49/15.69  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.54/20.75  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.63/25.80  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 27.12/27.38  % SZS status Unsatisfiable for LCL188-3
% 27.12/27.38  % SZS output start Proof for LCL188-3
% 27.12/27.39  (
% 27.12/27.39  (let ((_let_1 (tptp.or tptp.p tptp.q))) (let ((_let_2 (tptp.implies _let_1 tptp.q))) (let ((_let_3 (tptp.theorem (tptp.or tptp.p _let_2)))) (let ((_let_4 (not _let_3))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.theorem X) (not (tptp.theorem (tptp.implies Y X))) (not (tptp.theorem Y)))))) (let ((_let_6 (forall ((X $$unsorted)) (or (tptp.theorem X) (not (tptp.axiom X)))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies X Y) (tptp.or (tptp.not X) Y))))) (let ((_let_8 (forall ((A $$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_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 (tptp.or tptp.q tptp.p))) (let ((_let_12 (tptp.implies _let_11 _let_1))) (let ((_let_13 (tptp.theorem _let_12))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.not _let_1))) (let ((_let_16 (tptp.or _let_15 _let_1))) (let ((_let_17 (tptp.or _let_15 _let_11))) (let ((_let_18 (tptp.implies _let_17 _let_16))) (let ((_let_19 (tptp.implies _let_12 _let_18))) (let ((_let_20 (tptp.theorem _let_19))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.theorem _let_18))) (let ((_let_23 (or _let_22 _let_21 _let_14))) (let ((_let_24 (tptp.axiom _let_12))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_13 _let_25))) (let ((_let_27 (_let_6))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 ((not (= (tptp.axiom X) false))))) (let ((_let_30 (_let_10))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 (_let_5))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 ((tptp.implies Y X)))) (let ((_let_35 (tptp.axiom _let_19))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_20 _let_36))) (let ((_let_38 (_let_8))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 (tptp.theorem _let_17))) (let ((_let_41 (not _let_40))) (let ((_let_42 (not _let_22))) (let ((_let_43 (tptp.theorem _let_16))) (let ((_let_44 (or _let_43 _let_42 _let_41))) (let ((_let_45 (tptp.implies _let_1 _let_11))) (let ((_let_46 (= _let_45 _let_17))) (let ((_let_47 (tptp.theorem _let_45))) (let ((_let_48 (_let_7))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 ((tptp.implies X Y)))) (let ((_let_51 (tptp.axiom _let_45))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_47 _let_52))) (let ((_let_54 (and _let_46 _let_47))) (let ((_let_55 (ASSUME :args (_let_47)))) (let ((_let_56 (APPLY_UF tptp.theorem))) (let ((_let_57 (ASSUME :args (_let_46)))) (let ((_let_58 (not _let_43))) (let ((_let_59 (tptp.or _let_15 tptp.q))) (let ((_let_60 (tptp.or tptp.p _let_59))) (let ((_let_61 (tptp.implies _let_16 _let_60))) (let ((_let_62 (tptp.theorem _let_61))) (let ((_let_63 (not _let_62))) (let ((_let_64 (tptp.theorem _let_60))) (let ((_let_65 (or _let_64 _let_63 _let_58))) (let ((_let_66 (tptp.axiom _let_61))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_62 _let_67))) (let ((_let_69 (_let_9))) (let ((_let_70 (ASSUME :args _let_69))) (let ((_let_71 (= _let_2 _let_59))) (let ((_let_72 (not _let_64))) (let ((_let_73 (ASSUME :args (_let_4)))) (let ((_let_74 (and _let_4 _let_71))) (let ((_let_75 (_let_4 _let_71))) (let ((_let_76 (ASSUME :args (_let_71)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_14 _let_22 _let_21 (not _let_23)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_43 _let_41 _let_42 (not _let_44)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_64 _let_63 _let_58 (not _let_65)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_74)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_73 _let_76) (SCOPE (FALSE_ELIM (TRANS (CONG (CONG (REFL :args (tptp.p)) (SYMM _let_76) :args (APPLY_UF tptp.or)) :args _let_56) (FALSE_INTRO _let_73))) :args _let_75)) :args _let_75)) :args (true _let_74)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))) (REFL :args ((not _let_71))) (REFL :args (_let_72)) :args (or))) _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_1 tptp.q QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_50)) :args _let_48)) _let_49 :args (_let_71 false _let_7)) :args (_let_72 true _let_3 false _let_71)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_67 _let_62 (not _let_68)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_15 tptp.p tptp.q QUANTIFIERS_INST_E_MATCHING ((tptp.or B (tptp.or A C))))) :args _let_69)) _let_70 :args (_let_66 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_61 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_27)) _let_28 :args (_let_68 false _let_6)) :args (_let_62 false _let_66 false _let_68)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_60 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_34)) :args _let_32)) _let_33 :args (_let_65 false _let_5)) :args (_let_58 true _let_64 false _let_62 false _let_65)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_54)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_55 _let_57) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_57) :args _let_56) (TRUE_INTRO _let_55))) :args (_let_47 _let_46))) :args (_let_46 _let_47))) :args (true _let_54)) :args ((or (not _let_47) (not _let_46) _let_40))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_52 _let_47 (not _let_53)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.p tptp.q QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.or A B)))) :args _let_30)) _let_31 :args (_let_51 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_45 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_27)) _let_28 :args (_let_53 false _let_6)) :args (_let_47 false _let_51 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_1 _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_50)) :args _let_48)) _let_49 :args (_let_46 false _let_7)) :args (_let_40 false _let_47 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_16 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_34)) :args _let_32)) _let_33 :args (_let_44 false _let_5)) :args (_let_42 true _let_43 false _let_40 false _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_36 _let_20 (not _let_37)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_11 _let_1 _let_15 QUANTIFIERS_INST_E_MATCHING ((tptp.or C A) (tptp.or C B)))) :args _let_38)) _let_39 :args (_let_35 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_27)) _let_28 :args (_let_37 false _let_6)) :args (_let_20 false _let_35 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_18 _let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_34)) :args _let_32)) _let_33 :args (_let_23 false _let_5)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_13 (not _let_26)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.q tptp.p QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.or B A)))) :args _let_30)) _let_31 :args (_let_24 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_27)) _let_28 :args (_let_26 false _let_6)) :args (_let_13 false _let_24 false _let_26)) :args (false true _let_22 false _let_20 false _let_23 false _let_13)) :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_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 27.12/27.39  )
% 27.12/27.39  % SZS output end Proof for LCL188-3
% 27.23/27.40  % cvc5---1.0.5 exiting
% 27.23/27.40  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------