TSTP Solution File: SEU119+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU119+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n009.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 16:29:20 EDT 2023
% Result : Theorem 2.99s 3.28s
% Output : Proof 2.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU119+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Aug 24 01:13:36 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 %----Proving TF0_NAR, FOF, or CNF
% 2.99/3.28 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.wt5dk98Rot/cvc5---1.0.5_26929.p...
% 2.99/3.28 ------- get file name : TPTP file name is SEU119+2
% 2.99/3.28 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_26929.smt2...
% 2.99/3.28 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.99/3.28 % SZS status Theorem for SEU119+2
% 2.99/3.28 % SZS output start Proof for SEU119+2
% 2.99/3.28 (
% 2.99/3.28 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.disjoint A B))) (and (not (and (not _let_1) (forall ((C $$unsorted)) (not (and (tptp.in C A) (tptp.in C B)))))) (not (and (exists ((C $$unsorted)) (and (tptp.in C A) (tptp.in C B))) _let_1)))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.disjoint A B) (= (tptp.set_intersection2 A B) tptp.empty_set))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_intersection2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (and (tptp.in D A) (tptp.in D B)))))))) (let ((_let_4 (forall ((A $$unsorted)) (= (= A tptp.empty_set) (forall ((B $$unsorted)) (not (tptp.in B A))))))) (let ((_let_5 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.empty_set))) (let ((_let_6 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_7 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_8 (and _let_7 _let_6))) (let ((_let_9 (= _let_5 _let_8))) (let ((_let_10 (forall ((B $$unsorted)) (not (tptp.in B tptp.empty_set))))) (let ((_let_11 (forall ((A $$unsorted)) (= (forall ((B $$unsorted)) (not (tptp.in B A))) (= tptp.empty_set A))))) (let ((_let_12 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_13 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_12 :args (tptp.empty_set QUANTIFIERS_INST_ENUM)) :args (_let_11)))) _let_12 :args (_let_10 false _let_11)))) (let ((_let_14 (_let_10))) (let ((_let_15 (ASSUME :args _let_14))) (let ((_let_16 (not _let_6))) (let ((_let_17 (not _let_7))) (let ((_let_18 (tptp.disjoint SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_17 _let_16))) (let ((_let_21 (forall ((BOUND_VARIABLE_745 $$unsorted) (BOUND_VARIABLE_747 $$unsorted) (BOUND_VARIABLE_761 $$unsorted)) (or (not (tptp.disjoint BOUND_VARIABLE_745 BOUND_VARIABLE_747)) (not (tptp.in BOUND_VARIABLE_761 BOUND_VARIABLE_745)) (not (tptp.in BOUND_VARIABLE_761 BOUND_VARIABLE_747)))))) (let ((_let_22 (not _let_20))) (let ((_let_23 (forall ((BOUND_VARIABLE_730 $$unsorted) (BOUND_VARIABLE_732 $$unsorted)) (or (tptp.disjoint BOUND_VARIABLE_730 BOUND_VARIABLE_732) (not (forall ((C $$unsorted)) (or (not (tptp.in C BOUND_VARIABLE_730)) (not (tptp.in C BOUND_VARIABLE_732))))))))) (let ((_let_24 (not _let_21))) (let ((_let_25 (forall ((C $$unsorted)) (or (not (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (not (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.disjoint SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_28 (or _let_27 _let_26))) (let ((_let_29 (= tptp.empty_set (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_30 (= _let_27 _let_29))) (let ((_let_31 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_32))) (let ((_let_36 (forall ((D $$unsorted)) (= (tptp.in D tptp.empty_set) (and (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_37 (= _let_29 _let_36))) (let ((_let_38 (and _let_33 _let_31))) (let ((_let_39 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 tptp.empty_set))) (let ((_let_40 (= _let_39 _let_38))) (let ((_let_41 (or))) (let ((_let_42 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.disjoint A B) (= tptp.empty_set (tptp.set_intersection2 A B)))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (_let_42))) (let ((_let_45 ((tptp.disjoint A B)))) (let ((_let_46 (_let_25))) (let ((_let_47 (_let_3))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 (not _let_36))) (let ((_let_50 (_let_49))) (let ((_let_51 (not _let_38))) (let ((_let_52 (not _let_23))) (let ((_let_53 (_let_52))) (let ((_let_54 (_let_24))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_54)) :args _let_54)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_21))) (REFL :args (_let_22)) :args _let_41)) (MACRO_RESOLUTION_TRUST (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_53)) :args _let_53)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_23))) (REFL :args ((not _let_28))) :args _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_32 (not _let_35)))) (REORDERING (CNF_AND_POS :args (_let_38 1)) :args ((or _let_31 _let_51))) (REORDERING (CNF_AND_POS :args (_let_38 0)) :args ((or _let_33 _let_51))) (REORDERING (CNF_EQUIV_NEG1 :args (_let_40)) :args ((or _let_39 _let_38 _let_40))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in B tptp.empty_set) false))))) :args _let_14)) _let_13 :args ((not _let_39) false _let_10)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_50)) :args _let_50)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_36))) (REFL :args ((not _let_40))) :args _let_41)) (REORDERING (CNF_EQUIV_POS2 :args (_let_37)) :args ((or _let_29 _let_49 (not _let_37)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.empty_set QUANTIFIERS_INST_ENUM)) :args _let_47)) _let_48 :args (_let_37 false _let_3)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_46) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) false))))) :args _let_46)) (REORDERING (CNF_EQUIV_POS2 :args (_let_30)) :args ((or _let_27 (not _let_29) (not _let_30)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_44)) _let_43 :args (_let_30 false _let_42)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 1)) (CONG (REFL :args (_let_28)) (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_41)) :args ((or _let_25 _let_28))) (CNF_OR_NEG :args (_let_28 0)) :args (_let_28 false _let_31 false _let_33 false _let_38 true _let_39 true _let_40 true _let_36 false _let_37 false _let_35 true _let_29 false _let_30 false _let_25 true _let_27)) :args (_let_23 false _let_28)) :args (_let_24 false _let_23)) :args (_let_22 true _let_21)))) (let ((_let_56 (REFL :args (_let_20)))) (let ((_let_57 (forall ((D $$unsorted)) (= (tptp.in D tptp.empty_set) (and (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))))) (let ((_let_58 (= tptp.empty_set (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_59 (= _let_58 _let_57))) (let ((_let_60 (= _let_18 _let_58))) (let ((_let_61 (_let_57))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_9)) :args ((or _let_5 (not _let_8) (not _let_9)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_61) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) :args _let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_59)) :args ((or (not _let_58) _let_57 (not _let_59)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_60)) :args ((or _let_19 _let_58 (not _let_60)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 0)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_41)) :args ((or _let_18 _let_20))) _let_55 :args (_let_18 true _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_44)) _let_43 :args (_let_60 false _let_42)) :args (_let_58 false _let_18 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.empty_set QUANTIFIERS_INST_ENUM)) :args _let_47)) _let_48 :args (_let_59 false _let_3)) :args (_let_57 false _let_58 false _let_59)) :args (_let_9 false _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_8)) :args ((or _let_17 _let_16 _let_8))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 1)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_7))) :args _let_41)) :args ((or _let_7 _let_20))) _let_55 :args (_let_7 true _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 2)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_6))) :args _let_41)) :args ((or _let_6 _let_20))) _let_55 :args (_let_6 true _let_20)) :args (_let_8 false _let_7 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_ENUM)) :args _let_14)) _let_13 :args ((not _let_5) false _let_10)) :args (false false _let_9 false _let_8 true _let_5)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A B) (tptp.set_intersection2 B A))) _let_4 _let_3 _let_2 true true (tptp.empty tptp.empty_set) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A A) A)) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.disjoint A B) (tptp.disjoint B A))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 2.99/3.29 )
% 2.99/3.29 % SZS output end Proof for SEU119+2
% 2.99/3.29 % cvc5---1.0.5 exiting
% 2.99/3.29 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------