TSTP Solution File: LCL176-3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LCL176-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.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 07:00:59 EDT 2023
% Result : Unsatisfiable 5.69s 5.88s
% Output : Proof 5.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL176-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.16/0.35 % Computer : n014.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Fri Aug 25 04:30:33 EDT 2023
% 0.16/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.gjyH6C1yf0/cvc5---1.0.5_31349.p...
% 0.21/0.49 ------- get file name : TPTP file name is LCL176-3
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_31349.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 5.69/5.88 % SZS status Unsatisfiable for LCL176-3
% 5.69/5.88 % SZS output start Proof for LCL176-3
% 5.69/5.88 (
% 5.69/5.88 (let ((_let_1 (tptp.implies tptp.p tptp.p))) (let ((_let_2 (tptp.theorem _let_1))) (let ((_let_3 (not _let_2))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.theorem X) (not (tptp.theorem (tptp.implies Y X))) (not (tptp.theorem Y)))))) (let ((_let_5 (forall ((X $$unsorted)) (or (tptp.theorem X) (not (tptp.axiom X)))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies X Y) (tptp.or (tptp.not X) Y))))) (let ((_let_7 (forall ((A $$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_8 (forall ((A $$unsorted) (B $$unsorted)) (tptp.axiom (tptp.implies A (tptp.or B A)))))) (let ((_let_9 (tptp.not tptp.p))) (let ((_let_10 (tptp.or _let_9 tptp.p))) (let ((_let_11 (tptp.or _let_9 _let_10))) (let ((_let_12 (tptp.not _let_11))) (let ((_let_13 (tptp.or _let_12 tptp.p))) (let ((_let_14 (tptp.implies tptp.p _let_13))) (let ((_let_15 (tptp.axiom _let_14))) (let ((_let_16 (tptp.or _let_9 _let_13))) (let ((_let_17 (= _let_16 _let_14))) (let ((_let_18 (tptp.axiom _let_16))) (let ((_let_19 (_let_8))) (let ((_let_20 (ASSUME :args _let_19))) (let ((_let_21 ((tptp.or B A)))) (let ((_let_22 (_let_6))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (not _let_18))) (let ((_let_25 (tptp.theorem _let_16))) (let ((_let_26 (or _let_25 _let_24))) (let ((_let_27 (_let_5))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 (not _let_25))) (let ((_let_30 (tptp.or _let_12 _let_10))) (let ((_let_31 (tptp.implies _let_16 _let_30))) (let ((_let_32 (tptp.theorem _let_31))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.theorem _let_30))) (let ((_let_35 (or _let_34 _let_33 _let_29))) (let ((_let_36 (_let_4))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 ((tptp.implies Y X)))) (let ((_let_39 (tptp.axiom _let_31))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_32 _let_40))) (let ((_let_42 ((not (= (tptp.axiom X) false))))) (let ((_let_43 (_let_7))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (tptp.implies _let_11 _let_10))) (let ((_let_46 (= _let_45 _let_30))) (let ((_let_47 (tptp.theorem _let_45))) (let ((_let_48 (not _let_34))) (let ((_let_49 ((tptp.implies X Y)))) (let ((_let_50 (tptp.theorem _let_11))) (let ((_let_51 (not _let_50))) (let ((_let_52 (not _let_47))) (let ((_let_53 (tptp.theorem _let_10))) (let ((_let_54 (or _let_53 _let_52 _let_51))) (let ((_let_55 (tptp.implies tptp.p _let_10))) (let ((_let_56 (= _let_55 _let_11))) (let ((_let_57 (tptp.theorem _let_55))) (let ((_let_58 (tptp.axiom _let_55))) (let ((_let_59 (not _let_58))) (let ((_let_60 (or _let_57 _let_59))) (let ((_let_61 (and _let_56 _let_57))) (let ((_let_62 (ASSUME :args (_let_57)))) (let ((_let_63 (APPLY_UF tptp.theorem))) (let ((_let_64 (ASSUME :args (_let_56)))) (let ((_let_65 (= _let_1 _let_10))) (let ((_let_66 (not _let_53))) (let ((_let_67 (ASSUME :args (_let_3)))) (let ((_let_68 (or))) (let ((_let_69 (and _let_3 _let_65))) (let ((_let_70 (_let_3 _let_65))) (let ((_let_71 (ASSUME :args (_let_65)))) (let ((_let_72 (not _let_46))) (let ((_let_73 (and _let_46 _let_52))) (let ((_let_74 (ASSUME :args (_let_52)))) (let ((_let_75 (ASSUME :args (_let_46)))) (let ((_let_76 (ASSUME :args (_let_24)))) (let ((_let_77 (ASSUME :args (_let_17)))) (let ((_let_78 (ASSUME :args (_let_15)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_76 _let_77 _let_78) :args (_let_15 _let_17 _let_24)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_78)) (CONG (SYMM _let_77) :args (APPLY_UF tptp.axiom)) (FALSE_INTRO _let_76))) :args (_let_24 _let_17 _let_15)) :args ((not (and _let_15 _let_17 _let_24)) SB_LITERAL))) (CONG (REFL :args ((not _let_15))) (REFL :args ((not _let_17))) (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_18))) :args _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_24 (not _let_26)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_33 _let_29 (not _let_35)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_73)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_74 _let_75) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_75) :args _let_63) (FALSE_INTRO _let_74))) :args (_let_52 _let_46))) :args (_let_46 _let_52))) :args (true _let_73)) (CONG (REFL :args (_let_72)) (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_47))) (REFL :args (_let_48)) :args _let_68)) :args ((or _let_47 _let_72 _let_48))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_53 _let_51 _let_52 (not _let_54)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_69)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_67 _let_71) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_71) :args _let_63) (FALSE_INTRO _let_67))) :args _let_70)) :args _let_70)) :args (true _let_69)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_3) _let_2))) (REFL :args ((not _let_65))) (REFL :args (_let_66)) :args _let_68)) _let_67 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.p tptp.p QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_22)) _let_23 :args (_let_65 false _let_6)) :args (_let_66 true _let_2 false _let_65)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_61)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_62 _let_64) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_64) :args _let_63) (TRUE_INTRO _let_62))) :args (_let_57 _let_56))) :args (_let_56 _let_57))) :args (true _let_61)) :args ((or (not _let_57) (not _let_56) _let_50))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_59 _let_57 (not _let_60)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.p _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_21)) :args _let_19)) _let_20 :args (_let_58 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_55 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_27)) _let_28 :args (_let_60 false _let_5)) :args (_let_57 false _let_58 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.p _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_22)) _let_23 :args (_let_56 false _let_6)) :args (_let_50 false _let_57 false _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_10 _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_36)) _let_37 :args (_let_54 false _let_4)) :args (_let_52 true _let_53 false _let_50 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_11 _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_22)) _let_23 :args (_let_46 false _let_6)) :args (_let_48 true _let_47 false _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_40 _let_32 (not _let_41)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_9 _let_12 tptp.p QUANTIFIERS_INST_E_MATCHING ((tptp.or B (tptp.or A C))))) :args _let_43)) _let_44 :args (_let_39 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_27)) _let_28 :args (_let_41 false _let_5)) :args (_let_32 false _let_39 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_30 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_36)) _let_37 :args (_let_35 false _let_4)) :args (_let_29 true _let_34 false _let_32 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.theorem X) true))))) :args _let_27)) _let_28 :args (_let_26 false _let_5)) :args (_let_24 true _let_25 false _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.p _let_13 QUANTIFIERS_INST_E_MATCHING ((tptp.or (tptp.not X) Y)))) :args _let_22))) _let_23 :args (_let_17 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.p _let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_21)) :args _let_19)) _let_20 :args (_let_15 false _let_8)) :args (false true _let_18 false _let_17 false _let_15)) :args ((forall ((A $$unsorted)) (tptp.axiom (tptp.implies (tptp.or A A) A))) _let_8 (forall ((A $$unsorted) (B $$unsorted)) (tptp.axiom (tptp.implies (tptp.or A B) (tptp.or B A)))) _let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.axiom (tptp.implies (tptp.implies A B) (tptp.implies (tptp.or C A) (tptp.or C B))))) _let_6 _let_5 _let_4 _let_3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 5.69/5.88 )
% 5.69/5.90 % SZS output end Proof for LCL176-3
% 5.69/5.90 % cvc5---1.0.5 exiting
% 5.69/5.90 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------