TSTP Solution File: LCL186-3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LCL186-3 : 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 1.32s 1.64s
% Output : Proof 1.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL186-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 17:06:29 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.mgi2Nr451v/cvc5---1.0.5_6270.p...
% 0.21/0.52 ------- get file name : TPTP file name is LCL186-3
% 0.21/0.52 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_6270.smt2...
% 0.21/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.32/1.64 % SZS status Unsatisfiable for LCL186-3
% 1.32/1.64 % SZS output start Proof for LCL186-3
% 1.32/1.64 (
% 1.32/1.64 (let ((_let_1 (tptp.implies tptp.p tptp.q))) (let ((_let_2 (tptp.not tptp.p))) (let ((_let_3 (tptp.implies _let_2 _let_1))) (let ((_let_4 (tptp.theorem _let_3))) (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.implies A B) (tptp.implies (tptp.or C A) (tptp.or C B))))))) (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.or _let_2 tptp.q))) (let ((_let_13 (= _let_1 _let_12))) (let ((_let_14 (tptp.or tptp.q _let_2))) (let ((_let_15 (tptp.implies _let_14 _let_12))) (let ((_let_16 (tptp.theorem _let_15))) (let ((_let_17 (tptp.implies _let_14 _let_1))) (let ((_let_18 (tptp.theorem _let_17))) (let ((_let_19 (_let_8))) (let ((_let_20 (ASSUME :args _let_19))) (let ((_let_21 ((tptp.implies X Y)))) (let ((_let_22 (tptp.axiom _let_15))) (let ((_let_23 (not _let_22))) (let ((_let_24 (or _let_16 _let_23))) (let ((_let_25 (_let_7))) (let ((_let_26 (ASSUME :args _let_25))) (let ((_let_27 ((not (= (tptp.axiom X) false))))) (let ((_let_28 (_let_10))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 (not _let_18))) (let ((_let_31 (tptp.not _let_2))) (let ((_let_32 (tptp.or _let_31 _let_1))) (let ((_let_33 (tptp.or _let_31 _let_14))) (let ((_let_34 (tptp.implies _let_33 _let_32))) (let ((_let_35 (tptp.implies _let_17 _let_34))) (let ((_let_36 (tptp.theorem _let_35))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.theorem _let_34))) (let ((_let_39 (or _let_38 _let_37 _let_30))) (let ((_let_40 (_let_6))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 ((tptp.implies Y X)))) (let ((_let_43 (tptp.axiom _let_35))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_36 _let_44))) (let ((_let_46 (_let_9))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (tptp.theorem _let_33))) (let ((_let_49 (not _let_48))) (let ((_let_50 (not _let_38))) (let ((_let_51 (tptp.theorem _let_32))) (let ((_let_52 (or _let_51 _let_50 _let_49))) (let ((_let_53 (tptp.implies _let_2 _let_14))) (let ((_let_54 (= _let_53 _let_33))) (let ((_let_55 (tptp.theorem _let_53))) (let ((_let_56 (tptp.axiom _let_53))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_55 _let_57))) (let ((_let_59 (_let_11))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 (and _let_54 _let_55))) (let ((_let_62 (ASSUME :args (_let_55)))) (let ((_let_63 (APPLY_UF tptp.theorem))) (let ((_let_64 (ASSUME :args (_let_54)))) (let ((_let_65 (= _let_3 _let_32))) (let ((_let_66 (not _let_51))) (let ((_let_67 (ASSUME :args (_let_5)))) (let ((_let_68 (or))) (let ((_let_69 (and _let_5 _let_65))) (let ((_let_70 (_let_5 _let_65))) (let ((_let_71 (ASSUME :args (_let_65)))) (let ((_let_72 (ASSUME :args (_let_30)))) (let ((_let_73 (ASSUME :args (_let_13)))) (let ((_let_74 (ASSUME :args (_let_16)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_72 _let_73 _let_74) :args (_let_13 _let_16 _let_30)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_74)) (CONG (CONG (REFL :args (_let_14)) (SYMM _let_73) :args (APPLY_UF tptp.implies)) :args _let_63) (FALSE_INTRO _let_72))) :args (_let_30 _let_13 _let_16)) :args ((not (and _let_13 _let_16 _let_30)) SB_LITERAL))) (CONG (REFL :args ((not _let_13))) (REFL :args ((not _let_16))) (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_18))) :args _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_30 _let_38 _let_37 (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_51 _let_49 _let_50 (not _let_52)))) (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_5) _let_4))) (REFL :args ((not _let_65))) (REFL :args (_let_66)) :args _let_68)) _let_67 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_21)) :args _let_19)) _let_20 :args (_let_65 false _let_8)) :args (_let_66 true _let_4 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_55 _let_54))) :args (_let_54 _let_55))) :args (true _let_61)) :args ((or (not _let_55) (not _let_54) _let_48))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_57 _let_55 (not _let_58)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_2 tptp.q QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.or B A)))) :args _let_59)) _let_60 :args (_let_56 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (_let_53 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_27)) :args _let_25)) _let_26 :args (_let_58 false _let_7)) :args (_let_55 false _let_56 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (_let_2 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_21)) :args _let_19)) _let_20 :args (_let_54 false _let_8)) :args (_let_48 false _let_55 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_32 _let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_40)) _let_41 :args (_let_52 false _let_6)) :args (_let_50 true _let_51 false _let_48 false _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_44 _let_36 (not _let_45)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_14 _let_1 _let_31 QUANTIFIERS_INST_E_MATCHING ((tptp.or C A) (tptp.or C B)))) :args _let_46)) _let_47 :args (_let_43 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (_let_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_27)) :args _let_25)) _let_26 :args (_let_45 false _let_7)) :args (_let_36 false _let_43 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_34 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_40)) _let_41 :args (_let_39 false _let_6)) :args (_let_30 true _let_38 false _let_36 false _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_23 _let_16 (not _let_24)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.q _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.or B A)))) :args _let_28)) _let_29 :args (_let_22 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (_let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_27)) :args _let_25)) _let_26 :args (_let_24 false _let_7)) :args (_let_16 false _let_22 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.p tptp.q QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_21)) :args _let_19)) _let_20 :args (_let_13 false _let_8)) :args (false true _let_18 false _let_16 false _let_13)) :args ((forall ((A $$unsorted)) (tptp.axiom (tptp.implies (tptp.or A A) A))) _let_11 _let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.axiom (tptp.implies (tptp.or A (tptp.or B C)) (tptp.or B (tptp.or A C))))) _let_9 _let_8 _let_7 _let_6 _let_5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.32/1.64 )
% 1.32/1.65 % SZS output end Proof for LCL186-3
% 1.32/1.65 % cvc5---1.0.5 exiting
% 1.32/1.65 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------