TSTP Solution File: SEU164+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU164+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n019.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 16:29:44 EDT 2023
% Result : Theorem 20.80s 21.55s
% Output : Proof 20.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU164+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n019.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 : Wed Aug 23 21:18:59 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 20.80/21.55 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.drRqPmFBBa/cvc5---1.0.5_2778.p...
% 20.80/21.55 ------- get file name : TPTP file name is SEU164+1
% 20.80/21.55 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_2778.smt2...
% 20.80/21.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 20.80/21.55 --- Run --no-e-matching --full-saturate-quant at 5...
% 20.80/21.55 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.80/21.55 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 20.80/21.55 % SZS status Theorem for SEU164+1
% 20.80/21.55 % SZS output start Proof for SEU164+1
% 20.80/21.55 (
% 20.80/21.55 (let ((_let_1 (not (forall ((A $$unsorted)) (= (tptp.union (tptp.powerset A)) A))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.union A)) (forall ((C $$unsorted)) (= (tptp.in C B) (exists ((D $$unsorted)) (and (tptp.in C D) (tptp.in D A))))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (=> (tptp.in C A) (tptp.in C B))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.powerset A)) (forall ((C $$unsorted)) (= (tptp.in C B) (tptp.subset C A))))))) (let ((_let_5 (forall ((C $$unsorted)) (or (not (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32)) (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_6 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_7 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_8 (not _let_7))) (let ((_let_9 (or _let_8 _let_6))) (let ((_let_10 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_11 (= _let_10 _let_5))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (or (not (tptp.in C A)) (tptp.in C B))))))) (let ((_let_13 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_14 (_let_12))) (let ((_let_15 (tptp.powerset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_16 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 _let_15))) (let ((_let_17 (= _let_16 _let_10))) (let ((_let_18 (forall ((C $$unsorted)) (= (tptp.subset C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.in C (tptp.powerset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_19 (_let_4))) (let ((_let_20 (ASSUME :args _let_19))) (let ((_let_21 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_20 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_19))) _let_20 :args (_let_18 false _let_4)))) (let ((_let_22 (_let_18))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (not _let_16))) (let ((_let_25 (or _let_8 _let_24))) (let ((_let_26 (forall ((D $$unsorted)) (or (not (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 D)) (not (tptp.in D (tptp.powerset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))) (let ((_let_27 (not _let_25))) (let ((_let_28 (not _let_26))) (let ((_let_29 (= _let_6 _let_28))) (let ((_let_30 (forall ((C $$unsorted)) (= (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (not (forall ((D $$unsorted)) (or (not (tptp.in C D)) (not (tptp.in D (tptp.powerset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))))))) (let ((_let_31 (not _let_29))) (let ((_let_32 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.union _let_15)))) (let ((_let_33 (= _let_32 _let_30))) (let ((_let_34 (not _let_30))) (let ((_let_35 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.union A)) (forall ((C $$unsorted)) (= (tptp.in C B) (not (forall ((D $$unsorted)) (or (not (tptp.in C D)) (not (tptp.in D A))))))))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (forall ((A $$unsorted)) (= A (tptp.union (tptp.powerset A)))))) (let ((_let_38 (not _let_32))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (or))) (let ((_let_41 (not _let_37))) (let ((_let_42 (_let_34))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_42)) :args _let_42)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_30))) (REFL :args (_let_31)) :args _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_33)) :args ((or _let_32 _let_34 (not _let_33)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_39) :args (_let_41))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_37))) (REFL :args (_let_38)) :args _let_40)) _let_39 :args (_let_38 true _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_FMF_FMC_EXH)) :args (_let_35))) _let_36 :args (_let_33 false _let_35)) :args (_let_34 true _let_32 false _let_33)) :args (_let_31 true _let_30)))) (let ((_let_44 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15))) (let ((_let_45 (not _let_6))) (let ((_let_46 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_47 (= _let_46 _let_44))) (let ((_let_48 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_49 (not _let_44))) (let ((_let_50 (or _let_45 _let_49))) (let ((_let_51 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_26))))) (let ((_let_52 (_let_29))) (let ((_let_53 (_let_26))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_53) :args _let_48) :args _let_53)) (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_45 _let_49 (not _let_50)))) (REORDERING (EQ_RESOLVE (CNF_EQUIV_NEG2 :args _let_52) (CONG (REFL :args _let_52) (REFL :args (_let_45)) _let_51 :args _let_40)) :args ((or _let_26 _let_29 _let_45))) _let_43 :args (_let_50 true _let_50 false _let_26 true _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_47)) :args ((or (not _let_46) _let_44 (not _let_47)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_13 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_14))) _let_13 :args (_let_46 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args _let_48) :args _let_22)) _let_21 :args (_let_47 false _let_18)) :args (_let_44 false _let_46 false _let_47)) :args (_let_45 false _let_44)))) (let ((_let_55 (_let_28))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_55)) :args _let_55)) (CONG _let_51 (REFL :args (_let_27)) :args _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_52) :args ((or _let_6 _let_28 _let_29))) _let_54 _let_43 :args (_let_28 true _let_6 true _let_29)) :args (_let_27 true _let_26)))) (let ((_let_57 (REFL :args (_let_25)))) (let ((_let_58 (not _let_9))) (let ((_let_59 (_let_5))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_59) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_9)) :args ((or _let_6 _let_8 _let_58))) _let_54 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 0)) (CONG _let_57 (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_7))) :args _let_40)) :args ((or _let_7 _let_25))) _let_56 :args (_let_7 true _let_25)) :args (_let_58 true _let_6 false _let_7)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_11)) :args ((or _let_5 (not _let_10) (not _let_11)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_17)) :args ((or _let_24 _let_10 (not _let_17)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 1)) (CONG _let_57 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_16))) :args _let_40)) :args ((or _let_16 _let_25))) _let_56 :args (_let_16 true _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_22))) _let_21 :args (_let_17 false _let_18)) :args (_let_10 false _let_16 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_13 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_14)) _let_13 :args (_let_11 false _let_12)) :args (_let_5 false _let_10 false _let_11)) :args (false true _let_9 false _let_5)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= C A))))) _let_4 _let_3 _let_2 true true true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset (tptp.singleton A) B) (tptp.in A B))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted)) (= (tptp.in C A) (tptp.in C B))) (= A B))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 20.80/21.55 )
% 20.80/21.55 % SZS output end Proof for SEU164+1
% 20.80/21.56 % cvc5---1.0.5 exiting
% 20.80/21.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------