TSTP Solution File: LAT090-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT090-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n003.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 0.20s 0.53s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT090-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n003.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 09:38:52 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.adWkiabPqu/cvc5---1.0.5_6514.p...
% 0.20/0.49 ------- get file name : TPTP file name is LAT090-1
% 0.20/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_6514.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 LAT090-1
% 0.20/0.53 % SZS output start Proof for LAT090-1
% 0.20/0.54 (
% 0.20/0.54 (let ((_let_1 (tptp.join 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 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.join (tptp.meet A B) (tptp.meet A (tptp.join A B))) A)))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= A (tptp.join (tptp.join (tptp.meet A B) (tptp.meet C A)) A))))) (let ((_let_8 (tptp.meet _let_1 _let_1))) (let ((_let_9 (tptp.meet tptp.a (tptp.join _let_8 tptp.a)))) (let ((_let_10 (tptp.meet tptp.a _let_9))) (let ((_let_11 (= tptp.a (tptp.join (tptp.join _let_10 (tptp.meet tptp.a tptp.a)) tptp.a)))) (let ((_let_12 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_13 (= tptp.a (tptp.join _let_10 (tptp.meet tptp.a (tptp.join tptp.a _let_9)))))) (let ((_let_14 (tptp.meet _let_8 tptp.a))) (let ((_let_15 (= tptp.a (tptp.join _let_14 _let_9)))) (let ((_let_16 (= tptp.a _let_14))) (let ((_let_17 (= tptp.a _let_1))) (let ((_let_18 (not _let_11))) (let ((_let_19 (forall ((A $$unsorted) (B $$unsorted)) (= A (tptp.join (tptp.meet A B) (tptp.meet A (tptp.join A B))))))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.join (tptp.meet A B) (tptp.meet B (tptp.join A B))))))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= A (tptp.meet (tptp.meet (tptp.join A B) (tptp.join C A)) A))))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (SYMM (ASSUME :args (_let_2))))) (let ((_let_26 (not _let_17))) (let ((_let_27 (and _let_26 _let_16 _let_15 _let_13))) (let ((_let_28 (APPLY_UF tptp.join))) (let ((_let_29 (REFL :args (tptp.a)))) (let ((_let_30 (ASSUME :args (_let_13)))) (let ((_let_31 (ASSUME :args (_let_16)))) (let ((_let_32 (ASSUME :args (_let_15)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (tptp.a _let_9 tptp.a QUANTIFIERS_INST_E_MATCHING ((tptp.join (tptp.meet A B) (tptp.meet C A))))) :args (_let_7))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_27)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_25 _let_30 _let_31 _let_32) (SCOPE (FALSE_ELIM (TRANS (CONG _let_29 (CONG (TRANS (CONG (REFL :args (_let_10)) (CONG _let_29 (TRANS (SYMM (SYMM _let_32)) (CONG (SYMM _let_31) (REFL :args (_let_9)) :args _let_28)) :args (APPLY_UF tptp.meet)) :args _let_28) (SYMM _let_30)) _let_29 :args _let_28) :args (=)) (FALSE_INTRO _let_25))) :args (_let_26 _let_13 _let_16 _let_15))) :args (_let_26 _let_16 _let_15 _let_13))) :args (true _let_27)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_17))) (REFL :args ((not _let_16))) (REFL :args ((not _let_15))) (REFL :args ((not _let_13))) (REFL :args (_let_18)) :args (or))) _let_25 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.a tptp.a tptp.a QUANTIFIERS_INST_ENUM)) :args (_let_23))) _let_24 :args (_let_16 false _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_8 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.meet A B)))) :args (_let_21))) _let_22 :args (_let_15 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.a _let_9 QUANTIFIERS_INST_E_MATCHING ((tptp.meet A (tptp.join A B))))) :args (_let_19))) _let_20 :args (_let_13 false _let_19)) :args (_let_18 true _let_17 false _let_16 false _let_15 false _let_13)) _let_12 :args (false true _let_11 false _let_7)) :args (_let_6 (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)))))))))))))))))))))))))))))))))))
% 0.20/0.54 )
% 0.20/0.54 % SZS output end Proof for LAT090-1
% 0.20/0.54 % cvc5---1.0.5 exiting
% 0.20/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------