TSTP Solution File: LAT088-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT088-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n010.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 06:02:51 EDT 2023
% Result : Unsatisfiable 0.50s 0.72s
% Output : Proof 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT088-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n010.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 : Thu Aug 24 08:00:51 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.47 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.L1JsSpI8UJ/cvc5---1.0.5_28837.p...
% 0.20/0.48 ------- get file name : TPTP file name is LAT088-1
% 0.20/0.48 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_28837.smt2...
% 0.20/0.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.50/0.72 % SZS status Unsatisfiable for LAT088-1
% 0.50/0.72 % SZS output start Proof for LAT088-1
% 0.50/0.72 (
% 0.50/0.72 (let ((_let_1 (tptp.meet tptp.a tptp.a))) (let ((_let_2 (not (= _let_1 tptp.a)))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.join (tptp.join (tptp.meet A B) (tptp.meet C A)) A) A)))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.meet (tptp.meet (tptp.join A B) (tptp.join C A)) A) A)))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.join (tptp.meet A B) (tptp.meet B (tptp.join A B))) B)))) (let ((_let_6 (= tptp.a _let_1))) (let ((_let_7 (tptp.join tptp.a tptp.a))) (let ((_let_8 (tptp.meet _let_7 _let_7))) (let ((_let_9 (tptp.meet _let_8 tptp.a))) (let ((_let_10 (= tptp.a _let_9))) (let ((_let_11 (tptp.join _let_1 _let_1))) (let ((_let_12 (tptp.join _let_11 tptp.a))) (let ((_let_13 (= tptp.a _let_12))) (let ((_let_14 (tptp.meet tptp.a (tptp.join _let_8 tptp.a)))) (let ((_let_15 (tptp.join _let_9 _let_14))) (let ((_let_16 (= tptp.a _let_15))) (let ((_let_17 (tptp.meet _let_11 tptp.a))) (let ((_let_18 (= tptp.a (tptp.join _let_17 (tptp.meet tptp.a _let_12))))) (let ((_let_19 (tptp.join _let_1 _let_9))) (let ((_let_20 (= tptp.a (tptp.join _let_19 tptp.a)))) (let ((_let_21 (= _let_9 (tptp.meet (tptp.meet _let_15 (tptp.join _let_19 _let_9)) _let_9)))) (let ((_let_22 (tptp.meet _let_11 (tptp.join _let_17 _let_1)))) (let ((_let_23 (tptp.meet _let_22 _let_1))) (let ((_let_24 (= _let_1 _let_23))) (let ((_let_25 (= _let_1 (tptp.join _let_23 (tptp.meet _let_1 (tptp.join _let_22 _let_1)))))) (let ((_let_26 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= A (tptp.meet (tptp.meet (tptp.join A B) (tptp.join C A)) A))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (_let_26))) (let ((_let_29 (tptp.join C A))) (let ((_let_30 (tptp.join A B))) (let ((_let_31 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= A (tptp.join (tptp.join (tptp.meet A B) (tptp.meet C A)) A))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (_let_31))) (let ((_let_34 ((tptp.meet C A) (tptp.meet A B)))) (let ((_let_35 (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.join (tptp.meet A B) (tptp.meet B (tptp.join A B))))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (_let_35))) (let ((_let_38 ((tptp.meet A B)))) (let ((_let_39 ((tptp.meet _let_30 _let_29)))) (let ((_let_40 (and _let_10 _let_13 _let_16 _let_18 _let_20 _let_21 _let_24 _let_25))) (let ((_let_41 (ASSUME :args (_let_25)))) (let ((_let_42 (SYMM _let_41))) (let ((_let_43 (APPLY_UF tptp.join))) (let ((_let_44 (APPLY_UF tptp.meet))) (let ((_let_45 (ASSUME :args (_let_13)))) (let ((_let_46 (SYMM _let_45))) (let ((_let_47 (CONG (REFL :args (tptp.a)) _let_46 :args _let_44))) (let ((_let_48 (ASSUME :args (_let_18)))) (let ((_let_49 (SYMM (SYMM _let_48)))) (let ((_let_50 (REFL :args (_let_11)))) (let ((_let_51 (ASSUME :args (_let_10)))) (let ((_let_52 (SYMM _let_51))) (let ((_let_53 (ASSUME :args (_let_20)))) (let ((_let_54 (CONG (REFL :args (_let_19)) _let_52 :args _let_43))) (let ((_let_55 (ASSUME :args (_let_16)))) (let ((_let_56 (ASSUME :args (_let_21)))) (let ((_let_57 (ASSUME :args (_let_24)))) (let ((_let_58 (CONG (SYMM (SYMM _let_57)) (TRANS (SYMM (SYMM _let_56)) (CONG (CONG (SYMM _let_55) (TRANS _let_54 (SYMM _let_53)) :args _let_44) (TRANS _let_52 _let_49 (CONG (TRANS (CONG _let_50 _let_45 :args _let_44) (CONG _let_50 (TRANS _let_46 _let_49 (CONG (REFL :args (_let_17)) _let_47 :args _let_43)) :args _let_44)) _let_47 :args _let_43)) :args _let_44)) :args _let_43))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_40)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_41 _let_57 _let_55 _let_53 _let_51 _let_45 _let_48 _let_56) (SCOPE (TRANS _let_53 (SYMM _let_54) (CONG (TRANS _let_58 _let_42) (REFL :args (_let_9)) :args _let_43) _let_58 _let_42) :args (_let_25 _let_24 _let_16 _let_20 _let_10 _let_13 _let_18 _let_21))) :args (_let_10 _let_13 _let_16 _let_18 _let_20 _let_21 _let_24 _let_25))) :args (true _let_40)) :args ((or _let_6 (not _let_10) (not _let_13) (not _let_16) (not _let_18) (not _let_20) (not _let_21) (not _let_24) (not _let_25)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_22 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_37)) _let_36 :args (_let_25 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_1 _let_1 _let_17 QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_28)) _let_27 :args (_let_24 false _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_9 _let_14 _let_19 QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_28)) _let_27 :args (_let_21 false _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.a tptp.a _let_8 QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_33)) _let_32 :args (_let_20 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_11 tptp.a QUANTIFIERS_INST_E_MATCHING ((tptp.meet B (tptp.join A B))))) :args _let_37)) _let_36 :args (_let_18 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_8 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_37)) _let_36 :args (_let_16 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.a tptp.a tptp.a QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_33)) _let_32 :args (_let_13 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.a tptp.a tptp.a QUANTIFIERS_INST_E_MATCHING (_let_30 _let_29))) :args _let_28)) _let_27 :args (_let_10 false _let_26)) (SYMM (ASSUME :args (_let_2))) :args (false false _let_25 false _let_24 false _let_21 false _let_20 false _let_18 false _let_16 false _let_13 false _let_10 true _let_6)) :args ((forall ((A $$unsorted) (B $$unsorted)) (= (tptp.join (tptp.meet A B) (tptp.meet A (tptp.join A B))) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.join (tptp.meet A A) (tptp.meet B (tptp.join A A))) A)) _let_5 _let_4 _let_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.50/0.72 )
% 0.50/0.72 % SZS output end Proof for LAT088-1
% 0.50/0.72 % cvc5---1.0.5 exiting
% 0.50/0.73 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------