TSTP Solution File: LCL133-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LCL133-1 : TPTP v8.1.2. Released v1.0.0.
% 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 07:00:49 EDT 2023
% Result : Unsatisfiable 0.20s 0.53s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL133-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % 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 : Fri Aug 25 05:32:43 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.8IpLG6ROWa/cvc5---1.0.5_25386.p...
% 0.20/0.50 ------- get file name : TPTP file name is LCL133-1
% 0.20/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_25386.smt2...
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.53 % SZS status Unsatisfiable for LCL133-1
% 0.20/0.53 % SZS output start Proof for LCL133-1
% 0.20/0.53 (
% 0.20/0.53 (let ((_let_1 (not (= tptp.x tptp.y)))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies X Y) (tptp.implies Y X))))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies (tptp.implies X Y) Y) (tptp.implies (tptp.implies Y X) X))))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.implies (tptp.implies X Y) (tptp.implies (tptp.implies Y Z) (tptp.implies X Z))) tptp.truth)))) (let ((_let_5 (forall ((X $$unsorted)) (= (tptp.implies tptp.truth X) X)))) (let ((_let_6 (= tptp.y tptp.x))) (let ((_let_7 (tptp.implies tptp.truth tptp.truth))) (let ((_let_8 (= tptp.truth _let_7))) (let ((_let_9 (tptp.implies tptp.y tptp.x))) (let ((_let_10 (tptp.implies tptp.x tptp.y))) (let ((_let_11 (tptp.implies _let_10 tptp.y))) (let ((_let_12 (= _let_11 (tptp.implies _let_9 tptp.x)))) (let ((_let_13 (= _let_10 _let_9))) (let ((_let_14 (= _let_11 (tptp.implies tptp.y _let_10)))) (let ((_let_15 (tptp.implies tptp.truth tptp.y))) (let ((_let_16 (= tptp.y _let_15))) (let ((_let_17 (= tptp.truth (tptp.implies _let_7 (tptp.implies _let_15 _let_15))))) (let ((_let_18 (tptp.implies tptp.y tptp.truth))) (let ((_let_19 (= (tptp.implies _let_15 tptp.y) (tptp.implies _let_18 tptp.truth)))) (let ((_let_20 (= _let_15 _let_18))) (let ((_let_21 (= tptp.x (tptp.implies tptp.truth tptp.x)))) (let ((_let_22 (tptp.implies tptp.x tptp.truth))) (let ((_let_23 (= tptp.truth (tptp.implies _let_22 (tptp.implies _let_7 _let_22))))) (let ((_let_24 (SYMM (ASSUME :args (_let_1))))) (let ((_let_25 (forall ((X $$unsorted)) (= X (tptp.implies tptp.truth X))))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (_let_25))) (let ((_let_28 (_let_3))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 (tptp.x tptp.y QUANTIFIERS_INST_ENUM))) (let ((_let_31 (_let_2))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= tptp.truth (tptp.implies (tptp.implies X Y) (tptp.implies (tptp.implies Y Z) (tptp.implies X Z))))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (_let_33))) (let ((_let_36 (tptp.truth tptp.y QUANTIFIERS_INST_ENUM))) (let ((_let_37 (not _let_6))) (let ((_let_38 (and _let_37 _let_8 _let_12 _let_13 _let_14 _let_16 _let_17 _let_19 _let_20 _let_21))) (let ((_let_39 (ASSUME :args (_let_21)))) (let ((_let_40 (SYMM _let_39))) (let ((_let_41 (APPLY_UF tptp.implies))) (let ((_let_42 (REFL :args (tptp.x)))) (let ((_let_43 (ASSUME :args (_let_16)))) (let ((_let_44 (SYMM _let_43))) (let ((_let_45 (ASSUME :args (_let_20)))) (let ((_let_46 (SYMM _let_45))) (let ((_let_47 (TRANS _let_46 _let_44))) (let ((_let_48 (ASSUME :args (_let_19)))) (let ((_let_49 (ASSUME :args (_let_8)))) (let ((_let_50 (SYMM _let_49))) (let ((_let_51 (CONG _let_50 (TRANS (CONG (REFL :args (_let_15)) _let_44 :args _let_41) (SYMM (SYMM _let_48)) (CONG _let_47 (REFL :args (tptp.truth)) :args _let_41) _let_46 _let_44) :args _let_41))) (let ((_let_52 (ASSUME :args (_let_17)))) (let ((_let_53 (SYMM _let_52))) (let ((_let_54 (TRANS (SYMM _let_53) _let_51 _let_44))) (let ((_let_55 (SYMM _let_54))) (let ((_let_56 (CONG _let_55 _let_42 :args _let_41))) (let ((_let_57 (ASSUME :args (_let_13)))) (let ((_let_58 (SYMM _let_57))) (let ((_let_59 (CONG _let_55 (TRANS (SYMM _let_58) _let_56 _let_40) :args _let_41))) (let ((_let_60 (ASSUME :args (_let_14)))) (let ((_let_61 (SYMM _let_60))) (let ((_let_62 (SYMM _let_61))) (let ((_let_63 (ASSUME :args (_let_12)))) (let ((_let_64 (CONG (REFL :args (_let_10)) _let_44 :args _let_41))) (let ((_let_65 (SYMM _let_56))) (let ((_let_66 (CONG _let_42 _let_54 :args _let_41))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_38)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_24 _let_43 _let_49 _let_45 _let_48 _let_52 _let_39 _let_57 _let_60 _let_63) (SCOPE (FALSE_ELIM (TRANS (CONG _let_54 (TRANS (CONG (TRANS _let_66 (SYMM (TRANS _let_65 _let_58))) (TRANS (CONG (TRANS _let_50 (SYMM (TRANS _let_46 (SYMM _let_51) _let_53)) _let_47) _let_66 :args _let_41) _let_61 (SYMM _let_64)) :args _let_41) (CONG _let_65 (TRANS _let_64 _let_62 _let_59 _let_40) :args _let_41) (SYMM _let_63) _let_62 _let_59 _let_40) :args (=)) (FALSE_INTRO _let_24))) :args (_let_37 _let_16 _let_8 _let_20 _let_19 _let_17 _let_21 _let_13 _let_14 _let_12))) :args (_let_37 _let_8 _let_12 _let_13 _let_14 _let_16 _let_17 _let_19 _let_20 _let_21))) :args (true _let_38)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_6))) (REFL :args ((not _let_8))) (REFL :args ((not _let_12))) (REFL :args ((not _let_13))) (REFL :args ((not _let_14))) (REFL :args ((not _let_16))) (REFL :args ((not _let_17))) (REFL :args ((not _let_19))) (REFL :args ((not _let_20))) (REFL :args ((not _let_21))) (REFL :args ((not _let_23))) :args (or))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.x tptp.truth tptp.truth QUANTIFIERS_INST_E_MATCHING ((tptp.implies (tptp.implies Y Z) (tptp.implies X Z))))) :args _let_35)) _let_34 :args (_let_23 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.x QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.implies tptp.truth X)))) :args _let_27)) _let_26 :args (_let_21 false _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args _let_36) :args _let_31)) _let_32 :args (_let_20 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args _let_36) :args _let_28)) _let_29 :args (_let_19 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.truth tptp.truth tptp.y QUANTIFIERS_INST_ENUM)) :args _let_35)) _let_34 :args (_let_17 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.y QUANTIFIERS_INST_ENUM)) :args _let_27)) _let_26 :args (_let_16 false _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_10 tptp.y QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.implies X Y)))) :args _let_31)) _let_32 :args (_let_14 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args _let_30) :args _let_31)) _let_32 :args (_let_13 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args _let_30) :args _let_28)) _let_29 :args (_let_12 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.truth QUANTIFIERS_INST_ENUM)) :args _let_27)) _let_26 :args (_let_8 false _let_25)) _let_24 :args (false false _let_23 false _let_21 false _let_20 false _let_19 false _let_17 false _let_16 false _let_14 false _let_13 false _let_12 false _let_8 true _let_6)) :args (_let_5 _let_4 _let_3 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies (tptp.implies (tptp.not X) (tptp.not Y)) (tptp.implies Y X)) tptp.truth)) _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.53 )
% 0.20/0.53 % SZS output end Proof for LCL133-1
% 0.20/0.54 % cvc5---1.0.5 exiting
% 0.20/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------