TSTP Solution File: SET009-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET009-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 14:36:39 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
% 0.11/0.12 % Problem : SET009-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 11:42:26 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.0zJsi505hq/cvc5---1.0.5_6477.p...
% 0.20/0.50 ------- get file name : TPTP file name is SET009-1
% 0.20/0.51 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_6477.smt2...
% 0.20/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.53 % SZS status Unsatisfiable for SET009-1
% 0.20/0.53 % SZS output start Proof for SET009-1
% 0.20/0.53 (
% 0.20/0.53 (let ((_let_1 (tptp.subset tptp.bDa tptp.bDd))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.difference tptp.b tptp.d tptp.bDd))) (let ((_let_4 (tptp.difference tptp.b tptp.a tptp.bDa))) (let ((_let_5 (tptp.subset tptp.d tptp.a))) (let ((_let_6 (forall ((Element $$unsorted) (Set1 $$unsorted) (Set2 $$unsorted) (Difference $$unsorted)) (or (not (tptp.member Element Set1)) (not (tptp.difference Set1 Set2 Difference)) (tptp.member Element Difference) (tptp.member Element Set2))))) (let ((_let_7 (forall ((Element $$unsorted) (Set1 $$unsorted) (Set2 $$unsorted) (A_set $$unsorted)) (or (not (tptp.member Element Set1)) (not (tptp.member Element Set2)) (not (tptp.difference A_set Set1 Set2)))))) (let ((_let_8 (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Difference $$unsorted) (Element $$unsorted)) (or (not (tptp.difference Set1 Set2 Difference)) (not (tptp.member Element Difference)) (tptp.member Element Set1))))) (let ((_let_9 (forall ((Subset $$unsorted) (Superset $$unsorted)) (or (not (tptp.member (tptp.member_of_1_not_of_2 Subset Superset) Superset)) (tptp.subset Subset Superset))))) (let ((_let_10 (forall ((Subset $$unsorted) (Superset $$unsorted)) (or (tptp.subset Subset Superset) (tptp.member (tptp.member_of_1_not_of_2 Subset Superset) Subset))))) (let ((_let_11 (forall ((Element $$unsorted) (Subset $$unsorted) (Superset $$unsorted)) (or (not (tptp.member Element Subset)) (not (tptp.subset Subset Superset)) (tptp.member Element Superset))))) (let ((_let_12 (tptp.member_of_1_not_of_2 tptp.bDa tptp.bDd))) (let ((_let_13 (tptp.member _let_12 tptp.a))) (let ((_let_14 (not _let_5))) (let ((_let_15 (tptp.member _let_12 tptp.d))) (let ((_let_16 (not _let_15))) (let ((_let_17 (or _let_16 _let_14 _let_13))) (let ((_let_18 (_let_11))) (let ((_let_19 (ASSUME :args _let_18))) (let ((_let_20 (not _let_17))) (let ((_let_21 (tptp.member _let_12 tptp.bDd))) (let ((_let_22 (not _let_3))) (let ((_let_23 (tptp.member _let_12 tptp.b))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_24 _let_22 _let_21 _let_15))) (let ((_let_26 (_let_6))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 (tptp.member _let_12 tptp.bDa))) (let ((_let_29 (not _let_28))) (let ((_let_30 (not _let_4))) (let ((_let_31 (or _let_30 _let_29 _let_23))) (let ((_let_32 (_let_8))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (or _let_1 _let_28))) (let ((_let_35 (_let_10))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (ASSUME :args (_let_2)))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_1 _let_28 (not _let_34)))) _let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.bDa tptp.bDd QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subset Subset Superset) true))))) :args _let_35)) _let_36 :args (_let_34 false _let_10)) :args (_let_28 true _let_1 false _let_34)))) (let ((_let_39 (ASSUME :args (_let_4)))) (let ((_let_40 (not _let_21))) (let ((_let_41 (or _let_40 _let_1))) (let ((_let_42 (_let_9))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 (not _let_13))) (let ((_let_45 (or _let_44 _let_29 _let_30))) (let ((_let_46 (_let_7))) (let ((_let_47 (ASSUME :args _let_46))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_12 tptp.d tptp.a QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.member Element Subset) false)) (not (= (tptp.subset Subset Superset) false))))) :args _let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_14 _let_13 _let_16 _let_20))) (ASSUME :args (_let_5)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_30 _let_29 _let_44 (not _let_45)))) _let_39 _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_12 tptp.a tptp.bDa tptp.b QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.member Element Set2) false)) (not (= (tptp.difference A_set Set1 Set2) false))))) :args _let_46)) _let_47 :args (_let_45 false _let_7)) :args (_let_44 false _let_4 false _let_28 false _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_22 _let_21 _let_24 _let_15 (not _let_25)))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_1 _let_40 (not _let_41)))) _let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.bDa tptp.bDd QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subset Subset Superset) true))))) :args _let_42)) _let_43 :args (_let_41 false _let_9)) :args (_let_40 true _let_1 false _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_29 _let_23 (not _let_31)))) _let_39 _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.b tptp.a tptp.bDa _let_12 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.difference Set1 Set2 Difference) false)) (not (= (tptp.member Element Difference) false))))) :args _let_32)) _let_33 :args (_let_31 false _let_8)) :args (_let_23 false _let_4 false _let_28 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_12 tptp.b tptp.d tptp.bDd QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.member Element Set1) false)) (not (= (tptp.difference Set1 Set2 Difference) false))))) :args _let_26)) _let_27 :args (_let_25 false _let_6)) :args (_let_15 false _let_3 true _let_21 false _let_23 false _let_25)) :args (_let_20 false _let_5 true _let_13 false _let_15)) _let_19 :args (false true _let_17 false _let_11)) :args (_let_11 _let_10 _let_9 (forall ((Subset $$unsorted) (Superset $$unsorted)) (or (not (tptp.equal_sets Subset Superset)) (tptp.subset Subset Superset))) (forall ((Superset $$unsorted) (Subset $$unsorted)) (or (not (tptp.equal_sets Superset Subset)) (tptp.subset Subset Superset))) (forall ((Set1 $$unsorted) (Set2 $$unsorted)) (or (not (tptp.subset Set1 Set2)) (not (tptp.subset Set2 Set1)) (tptp.equal_sets Set2 Set1))) _let_8 _let_7 _let_6 (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Difference $$unsorted)) (let ((_let_1 (tptp.k Set1 Set2 Difference))) (or (tptp.difference Set1 Set2 Difference) (tptp.member _let_1 Set1) (tptp.member _let_1 Difference)))) (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Difference $$unsorted)) (let ((_let_1 (tptp.k Set1 Set2 Difference))) (or (not (tptp.member _let_1 Set2)) (tptp.member _let_1 Difference) (tptp.difference Set1 Set2 Difference)))) (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Difference $$unsorted)) (let ((_let_1 (tptp.k Set1 Set2 Difference))) (or (not (tptp.member _let_1 Difference)) (not (tptp.member _let_1 Set1)) (tptp.member _let_1 Set2) (tptp.difference Set1 Set2 Difference)))) _let_5 _let_4 _let_3 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.53 )
% 0.20/0.54 % SZS output end Proof for SET009-1
% 0.20/0.54 % cvc5---1.0.5 exiting
% 0.20/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------