TSTP Solution File: LAT381+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT381+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n026.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 06:04:36 EDT 2023
% Result : Theorem 0.21s 0.55s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT381+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n026.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 04:35:17 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.55 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.anhDGGBBIa/cvc5---1.0.5_21463.p...
% 0.21/0.55 ------- get file name : TPTP file name is LAT381+3
% 0.21/0.55 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_21463.smt2...
% 0.21/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.55 % SZS status Theorem for LAT381+3
% 0.21/0.55 % SZS output start Proof for LAT381+3
% 0.21/0.55 (
% 0.21/0.55 (let ((_let_1 (= tptp.xu tptp.xv))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.aUpperBoundOfIn0 tptp.xv tptp.xS tptp.xT))) (let ((_let_4 (tptp.aElementOf0 tptp.xv tptp.xT))) (let ((_let_5 (tptp.aUpperBoundOfIn0 tptp.xu tptp.xS tptp.xT))) (let ((_let_6 (tptp.aElementOf0 tptp.xu tptp.xT))) (let ((_let_7 (and _let_6 _let_6 (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.xS) (tptp.sdtlseqdt0 W0 tptp.xu))) _let_5 (forall ((W0 $$unsorted)) (=> (or (and (tptp.aElementOf0 W0 tptp.xT) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 tptp.xS) (tptp.sdtlseqdt0 W1 W0)))) (tptp.aUpperBoundOfIn0 W0 tptp.xS tptp.xT)) (tptp.sdtlseqdt0 tptp.xu W0))) (tptp.aSupremumOfIn0 tptp.xu tptp.xS tptp.xT) _let_4 _let_4 (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.xS) (tptp.sdtlseqdt0 W0 tptp.xv))) _let_3 (forall ((W0 $$unsorted)) (=> (or (and (tptp.aElementOf0 W0 tptp.xT) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 tptp.xS) (tptp.sdtlseqdt0 W1 W0)))) (tptp.aUpperBoundOfIn0 W0 tptp.xS tptp.xT)) (tptp.sdtlseqdt0 tptp.xv W0))) (tptp.aSupremumOfIn0 tptp.xv tptp.xS tptp.xT)))) (let ((_let_8 (tptp.aSet0 tptp.xT))) (let ((_let_9 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W0)) (= W0 W1)))))) (let ((_let_10 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (tptp.aElement0 W1))))))) (let ((_let_11 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aElement0 W1)) (not (tptp.sdtlseqdt0 W0 W1)) (not (tptp.sdtlseqdt0 W1 W0)) (= W0 W1))))) (let ((_let_12 (tptp.sdtlseqdt0 tptp.xv tptp.xu))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.sdtlseqdt0 tptp.xu tptp.xv))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.aElement0 tptp.xv))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.aElement0 tptp.xu))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_17 _let_15 _let_13 _let_1))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (not _let_20))) (let ((_let_23 (not _let_5))) (let ((_let_24 (not _let_6))) (let ((_let_25 (and (or _let_24 (not (forall ((W1 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xS)) (tptp.sdtlseqdt0 W1 tptp.xu))))) _let_23))) (let ((_let_26 (or _let_25 _let_12))) (let ((_let_27 (forall ((W0 $$unsorted)) (or (and (or (not (tptp.aElementOf0 W0 tptp.xT)) (not (forall ((W1 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xS)) (tptp.sdtlseqdt0 W1 W0))))) (not (tptp.aUpperBoundOfIn0 W0 tptp.xS tptp.xT))) (tptp.sdtlseqdt0 tptp.xv W0))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (_let_27))) (let ((_let_30 (not _let_25))) (let ((_let_31 (not _let_3))) (let ((_let_32 (not _let_4))) (let ((_let_33 (and (or _let_32 (not (forall ((W1 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xS)) (tptp.sdtlseqdt0 W1 tptp.xv))))) _let_31))) (let ((_let_34 (or _let_33 _let_14))) (let ((_let_35 (forall ((W0 $$unsorted)) (or (and (or (not (tptp.aElementOf0 W0 tptp.xT)) (not (forall ((W1 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xS)) (tptp.sdtlseqdt0 W1 W0))))) (not (tptp.aUpperBoundOfIn0 W0 tptp.xS tptp.xT))) (tptp.sdtlseqdt0 tptp.xu W0))))) (let ((_let_36 (_let_35))) (let ((_let_37 (not _let_33))) (let ((_let_38 (not _let_8))) (let ((_let_39 (or _let_38 _let_32 _let_16))) (let ((_let_40 (forall ((W0 $$unsorted) (BOUND_VARIABLE_852 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aElementOf0 BOUND_VARIABLE_852 W0)) (tptp.aElement0 BOUND_VARIABLE_852))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (_let_40))) (let ((_let_43 ((not (= (tptp.aElementOf0 BOUND_VARIABLE_852 W0) false))))) (let ((_let_44 (ASSUME :args (_let_8)))) (let ((_let_45 (or _let_38 _let_24 _let_18))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.xu tptp.xv QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sdtlseqdt0 W0 W1) false))))) :args (_let_11))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_1 _let_19 _let_17 _let_15 _let_13 _let_22))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_38 _let_24 _let_18 (not _let_45)))) _let_44 (AND_ELIM _let_28 :args (0)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.xT tptp.xu QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_42)) _let_41 :args (_let_45 false _let_40)) :args (_let_18 false _let_8 false _let_6 false _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_38 _let_32 _let_16 (not _let_39)))) _let_44 (AND_ELIM _let_28 :args (6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.xT tptp.xv QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_42)) _let_41 :args (_let_39 false _let_40)) :args (_let_16 false _let_8 false _let_4 false _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_14 (not _let_34)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_33 1)) :args ((or _let_31 _let_37))) (AND_ELIM _let_28 :args (9)) :args (_let_37 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_36) :args (tptp.xv QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.aElementOf0 W0 tptp.xT)))) :args _let_36)) (AND_ELIM _let_28 :args (4)) :args (_let_34 false _let_35)) :args (_let_14 true _let_33 false _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_12 (not _let_26)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_25 1)) :args ((or _let_23 _let_30))) (AND_ELIM _let_28 :args (3)) :args (_let_30 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_29) :args (tptp.xu QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.aElementOf0 W0 tptp.xT)))) :args _let_29)) (AND_ELIM _let_28 :args (10)) :args (_let_26 false _let_27)) :args (_let_12 true _let_25 false _let_26)) :args (_let_22 true _let_1 false _let_18 false _let_16 false _let_14 false _let_12)) _let_21 :args (false true _let_20 false _let_11)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) true)) (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) true)) _let_10 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (= (tptp.isEmpty0 W0) (not (exists ((W1 $$unsorted)) (tptp.aElementOf0 W1 W0)))))) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (= (tptp.aSubsetOf0 W1 W0) (and (tptp.aSet0 W1) (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W1) (tptp.aElementOf0 W2 W0)))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (=> (tptp.sdtlseqdt0 W0 W1) true))) (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (tptp.sdtlseqdt0 W0 W0))) _let_9 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 W2)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W2)) (tptp.sdtlseqdt0 W0 W2)))) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aSubsetOf0 W1 W0) (forall ((W2 $$unsorted)) (= (tptp.aLowerBoundOfIn0 W2 W1 W0) (and (tptp.aElementOf0 W2 W0) (forall ((W3 $$unsorted)) (=> (tptp.aElementOf0 W3 W1) (tptp.sdtlseqdt0 W2 W3)))))))))) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aSubsetOf0 W1 W0) (forall ((W2 $$unsorted)) (= (tptp.aUpperBoundOfIn0 W2 W1 W0) (and (tptp.aElementOf0 W2 W0) (forall ((W3 $$unsorted)) (=> (tptp.aElementOf0 W3 W1) (tptp.sdtlseqdt0 W3 W2)))))))))) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aSubsetOf0 W1 W0) (forall ((W2 $$unsorted)) (= (tptp.aInfimumOfIn0 W2 W1 W0) (and (tptp.aElementOf0 W2 W0) (tptp.aLowerBoundOfIn0 W2 W1 W0) (forall ((W3 $$unsorted)) (=> (tptp.aLowerBoundOfIn0 W3 W1 W0) (tptp.sdtlseqdt0 W3 W2)))))))))) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aSubsetOf0 W1 W0) (forall ((W2 $$unsorted)) (= (tptp.aSupremumOfIn0 W2 W1 W0) (and (tptp.aElementOf0 W2 W0) (tptp.aUpperBoundOfIn0 W2 W1 W0) (forall ((W3 $$unsorted)) (=> (tptp.aUpperBoundOfIn0 W3 W1 W0) (tptp.sdtlseqdt0 W2 W3)))))))))) _let_8 (and (tptp.aSet0 tptp.xS) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.xS) (tptp.aElementOf0 W0 tptp.xT))) (tptp.aSubsetOf0 tptp.xS tptp.xT)) _let_7 _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.55 )
% 0.21/0.55 % SZS output end Proof for LAT381+3
% 0.21/0.55 % cvc5---1.0.5 exiting
% 0.21/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------