TSTP Solution File: SET008-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET008-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n006.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 14:36:38 EDT 2023
% Result : Unsatisfiable 0.20s 0.51s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET008-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n006.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 13:43:07 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ycHXQg3Hpd/cvc5---1.0.5_8043.p...
% 0.20/0.49 ------- get file name : TPTP file name is SET008-1
% 0.20/0.49 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_8043.smt2...
% 0.20/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.51 % SZS status Unsatisfiable for SET008-1
% 0.20/0.51 % SZS output start Proof for SET008-1
% 0.20/0.51 (
% 0.20/0.51 (let ((_let_1 (forall ((A $$unsorted)) (not (tptp.member A tptp.aI_bDa))))) (let ((_let_2 (tptp.intersection tptp.a tptp.bDa tptp.aI_bDa))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.difference tptp.b tptp.a tptp.bDa))) (let ((_let_5 (forall ((Element $$unsorted) (Set1 $$unsorted) (Set2 $$unsorted) (A_set $$unsorted)) (or (not (tptp.member Element Set1)) (not (tptp.member Element Set2)) (not (tptp.difference A_set Set1 Set2)))))) (let ((_let_6 (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Intersection $$unsorted)) (let ((_let_1 (tptp.h Set1 Set2 Intersection))) (or (tptp.member _let_1 Intersection) (tptp.intersection Set1 Set2 Intersection) (tptp.member _let_1 Set2)))))) (let ((_let_7 (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Intersection $$unsorted)) (let ((_let_1 (tptp.h Set1 Set2 Intersection))) (or (tptp.member _let_1 Intersection) (tptp.intersection Set1 Set2 Intersection) (tptp.member _let_1 Set1)))))) (let ((_let_8 (not _let_4))) (let ((_let_9 (tptp.h tptp.a tptp.bDa tptp.aI_bDa))) (let ((_let_10 (tptp.member _let_9 tptp.bDa))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.member _let_9 tptp.a))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_11 _let_8))) (let ((_let_15 (_let_5))) (let ((_let_16 (ASSUME :args _let_15))) (let ((_let_17 (tptp.member _let_9 tptp.aI_bDa))) (let ((_let_18 (or _let_17 _let_2 _let_12))) (let ((_let_19 (_let_7))) (let ((_let_20 (ASSUME :args _let_19))) (let ((_let_21 (_let_1))) (let ((_let_22 (ASSUME :args _let_21))) (let ((_let_23 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member A tptp.aI_bDa) false))))) :args _let_21)) _let_22 :args ((not _let_17) false _let_1)))) (let ((_let_24 (ASSUME :args (_let_3)))) (let ((_let_25 (or _let_17 _let_2 _let_10))) (let ((_let_26 (_let_6))) (let ((_let_27 (ASSUME :args _let_26))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_8 _let_11 _let_13 (not _let_14)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_2 _let_17 _let_10 (not _let_25)))) _let_24 _let_23 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.a tptp.bDa tptp.aI_bDa QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.intersection Set1 Set2 Intersection) true))))) :args _let_26)) _let_27 :args (_let_25 false _let_6)) :args (_let_10 true _let_2 true _let_17 false _let_25)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_2 _let_17 _let_12 (not _let_18)))) _let_24 _let_23 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.a tptp.bDa tptp.aI_bDa QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.intersection Set1 Set2 Intersection) true))))) :args _let_19)) _let_20 :args (_let_18 false _let_7)) :args (_let_12 true _let_2 true _let_17 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (_let_9 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_15)) _let_16 :args (_let_14 false _let_5)) (ASSUME :args (_let_4)) :args (false false _let_10 false _let_12 false _let_14 false _let_4)) :args ((forall ((Element $$unsorted) (Subset $$unsorted) (Superset $$unsorted)) (or (not (tptp.member Element Subset)) (not (tptp.subset Subset Superset)) (tptp.member Element Superset))) (forall ((Subset $$unsorted) (Superset $$unsorted)) (or (tptp.subset Subset Superset) (tptp.member (tptp.member_of_1_not_of_2 Subset Superset) Subset))) (forall ((Subset $$unsorted) (Superset $$unsorted)) (or (not (tptp.member (tptp.member_of_1_not_of_2 Subset Superset) Superset)) (tptp.subset Subset Superset))) (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))) (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Intersection $$unsorted) (Element $$unsorted)) (or (not (tptp.intersection Set1 Set2 Intersection)) (not (tptp.member Element Intersection)) (tptp.member Element Set1))) (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Intersection $$unsorted) (Element $$unsorted)) (or (not (tptp.intersection Set1 Set2 Intersection)) (not (tptp.member Element Intersection)) (tptp.member Element Set2))) (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Intersection $$unsorted) (Element $$unsorted)) (or (not (tptp.intersection Set1 Set2 Intersection)) (not (tptp.member Element Set2)) (not (tptp.member Element Set1)) (tptp.member Element Intersection))) _let_7 _let_6 (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Intersection $$unsorted)) (let ((_let_1 (tptp.h Set1 Set2 Intersection))) (or (not (tptp.member _let_1 Intersection)) (not (tptp.member _let_1 Set2)) (not (tptp.member _let_1 Set1)) (tptp.intersection Set1 Set2 Intersection)))) (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Difference $$unsorted) (Element $$unsorted)) (or (not (tptp.difference Set1 Set2 Difference)) (not (tptp.member Element Difference)) (tptp.member Element Set1))) _let_5 (forall ((Element $$unsorted) (Set1 $$unsorted) (Set2 $$unsorted) (Difference $$unsorted)) (or (not (tptp.member Element Set1)) (not (tptp.difference Set1 Set2 Difference)) (tptp.member Element Difference) (tptp.member Element Set2))) (forall ((Set1 $$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_4 _let_3 _let_1))))))))))))))))))))))))))))))
% 0.20/0.51 )
% 0.20/0.52 % SZS output end Proof for SET008-1
% 0.20/0.52 % cvc5---1.0.5 exiting
% 0.20/0.52 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------