TSTP Solution File: LCL185-3 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL185-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n019.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 07:01:03 EDT 2023

% Result   : Unsatisfiable 1.87s 2.24s
% Output   : Proof 1.87s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : LCL185-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri Aug 25 01:46:44 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.l4lkXadWQZ/cvc5---1.0.5_22176.p...
% 0.20/0.50  ------- get file name : TPTP file name is LCL185-3
% 0.20/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_22176.smt2...
% 0.20/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.87/2.24  % SZS status Unsatisfiable for LCL185-3
% 1.87/2.24  % SZS output start Proof for LCL185-3
% 1.87/2.24  (
% 1.87/2.24  (let ((_let_1 (tptp.or tptp.p tptp.q))) (let ((_let_2 (tptp.implies tptp.p _let_1))) (let ((_let_3 (tptp.theorem _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)) (tptp.axiom (tptp.implies (tptp.or A B) (tptp.or B A)))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (tptp.axiom (tptp.implies A (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 tptp.p))) (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_9))) (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 tptp.p _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 (_let_10))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (and _let_46 _let_47))) (let ((_let_57 (ASSUME :args (_let_47)))) (let ((_let_58 (APPLY_UF tptp.theorem))) (let ((_let_59 (ASSUME :args (_let_46)))) (let ((_let_60 (= _let_2 _let_16))) (let ((_let_61 (not _let_43))) (let ((_let_62 (ASSUME :args (_let_4)))) (let ((_let_63 (and _let_4 _let_60))) (let ((_let_64 (_let_4 _let_60))) (let ((_let_65 (ASSUME :args (_let_60)))) (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 (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_63)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_62 _let_65) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_65) :args _let_58) (FALSE_INTRO _let_62))) :args _let_64)) :args _let_64)) :args (true _let_63)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))) (REFL :args ((not _let_60))) (REFL :args (_let_61)) :args (or))) _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.p _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_50)) :args _let_48)) _let_49 :args (_let_60 false _let_7)) :args (_let_61 true _let_3 false _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_56)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_57 _let_59) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_59) :args _let_58) (TRUE_INTRO _let_57))) :args (_let_47 _let_46))) :args (_let_46 _let_47))) :args (true _let_56)) :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_55 :args (tptp.p tptp.q QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.or B A)))) :args _let_54)) _let_55 :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 (tptp.p _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_9)) (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 $$unsorted)) (tptp.axiom (tptp.implies (tptp.or A A) A))) _let_10 _let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.axiom (tptp.implies (tptp.or A (tptp.or B C)) (tptp.or B (tptp.or A C))))) _let_8 _let_7 _let_6 _let_5 _let_4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.87/2.24  )
% 1.87/2.25  % SZS output end Proof for LCL185-3
% 1.87/2.25  % cvc5---1.0.5 exiting
% 1.87/2.26  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------