%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET890+1 : TPTP v8.1.2. Released v3.2.0.
% 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 14:40:54 EDT 2023

% Result   : Theorem 61.57s 61.81s
% Output   : Proof 61.66s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SET890+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.14  % 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   : Sat Aug 26 16:40:03 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 61.57/61.81  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.oOUesfGJbX/cvc5---1.0.5_22317.p...
% 61.57/61.81  ------- get file name : TPTP file name is SET890+1
% 61.57/61.81  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_22317.smt2...
% 61.57/61.81  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 61.57/61.81  --- Run --no-e-matching --full-saturate-quant at 5...
% 61.57/61.81  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 61.57/61.81  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 61.57/61.81  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 61.57/61.81  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 61.57/61.81  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 61.57/61.81  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 61.57/61.81  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 61.57/61.81  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 61.57/61.81  --- Run --relevant-triggers --full-saturate-quant at 5...
% 61.57/61.81  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 61.57/61.81  % SZS status Theorem for SET890+1
% 61.57/61.81  % SZS output start Proof for SET890+1
% 61.57/61.81  (
% 61.57/61.81  (let ((_let_1 (not (forall ((A $$unsorted)) (= (tptp.union (tptp.singleton A)) A))))) (let ((_let_2 (forall ((A $$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 $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= C A))))))) (let ((_let_4 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_5 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))) (let ((_let_6 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))) (let ((_let_7 (forall ((D $$unsorted)) (or (not (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 D)) (not (tptp.in D (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))))) (let ((_let_8 (not _let_7))) (let ((_let_9 (= _let_4 _let_8))) (let ((_let_10 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_11 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_10))) (let ((_let_12 (not _let_11))) (let ((_let_13 (not _let_4))) (let ((_let_14 (or _let_13 _let_12))) (let ((_let_15 (forall ((C $$unsorted)) (= (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (not (forall ((D $$unsorted)) (or (not (tptp.in C D)) (not (tptp.in D (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))))))))) (let ((_let_16 (not _let_9))) (let ((_let_17 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 (tptp.union _let_10)))) (let ((_let_18 (= _let_17 _let_15))) (let ((_let_19 (not _let_15))) (let ((_let_20 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.union A)) (forall ((C $$unsorted)) (= (tptp.in C B) (not (forall ((D $$unsorted)) (or (not (tptp.in C D)) (not (tptp.in D A))))))))))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (forall ((A $$unsorted)) (= A (tptp.union (tptp.singleton A)))))) (let ((_let_23 (not _let_17))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (or))) (let ((_let_26 (not _let_22))) (let ((_let_27 (_let_19))) (let ((_let_28 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_27)) :args _let_27)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_15))) (REFL :args (_let_16)) :args _let_25)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_18)) :args ((or _let_17 _let_19 (not _let_18)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_24) :args (_let_26))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_22))) (REFL :args (_let_23)) :args _let_25)) _let_24 :args (_let_23 true _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (_let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_FMF_FMC_EXH)) :args (_let_20))) _let_21 :args (_let_18 false _let_20)) :args (_let_19 true _let_17 false _let_18)) :args (_let_16 true _let_15)))) (let ((_let_29 (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_7))))) (let ((_let_30 (_let_13))) (let ((_let_31 (_let_9))) (let ((_let_32 (forall ((C $$unsorted)) (= (= C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (tptp.in C (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))))) (let ((_let_33 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= A C))))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_34 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_10 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_33)))) _let_34 :args (_let_32 false _let_33)))) (let ((_let_36 (_let_32))) (let ((_let_37 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_38 (ASSUME :args _let_36))) (let ((_let_39 (_let_7))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_39) :args _let_37) :args _let_39)) (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_12 _let_13 (not _let_14)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_38 :args _let_37) :args _let_36))) _let_35 :args (_let_11 false _let_32)) (REORDERING (EQ_RESOLVE (CNF_EQUIV_NEG2 :args _let_31) (CONG (REFL :args _let_31) (REFL :args _let_30) _let_29 :args _let_25)) :args ((or _let_7 _let_9 _let_13))) _let_28 :args (_let_13 true _let_14 false _let_11 false _let_7 true _let_9)))) (let ((_let_41 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 _let_10))) (let ((_let_42 (not _let_41))) (let ((_let_43 (not _let_5))) (let ((_let_44 (or _let_43 _let_42))) (let ((_let_45 (not _let_44))) (let ((_let_46 (_let_8))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_46)) :args _let_46)) (CONG _let_29 (REFL :args (_let_45)) :args _let_25)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_31) :args ((or _let_4 _let_8 _let_9))) _let_40 _let_28 :args (_let_8 true _let_4 true _let_9)) :args (_let_45 true _let_7)))) (let ((_let_48 (REFL :args (_let_44)))) (let ((_let_49 (= _let_41 _let_6))) (let ((_let_50 (ASSUME :args _let_30))) (let ((_let_51 (ASSUME :args (_let_6)))) (let ((_let_52 (ASSUME :args (_let_5)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_50 _let_51 _let_52) :args (_let_13 _let_5 _let_6)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_52)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (SYMM _let_51) :args (APPLY_UF tptp.in)) (FALSE_INTRO _let_50))) :args (_let_13 _let_6 _let_5)) :args ((not (and _let_13 _let_5 _let_6)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_4))) (REFL :args (_let_43)) (REFL :args ((not _let_6))) :args _let_25)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_49)) :args ((or _let_42 _let_6 (not _let_49)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 1)) (CONG _let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_25)) :args ((or _let_41 _let_44))) _let_47 :args (_let_41 true _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 QUANTIFIERS_INST_CBQI_PROP)) :args _let_36))) _let_35 :args (_let_49 false _let_32)) :args (_let_6 false _let_41 false _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 0)) (CONG _let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_5))) :args _let_25)) :args ((or _let_5 _let_44))) _let_47 :args (_let_5 true _let_44)) _let_40 :args (false false _let_6 false _let_5 true _let_4)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (= A B) (and (tptp.subset A B) (tptp.subset B A)))) _let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (=> (tptp.in C A) (tptp.in C B))))) _let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.subset A (tptp.union B)))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 61.66/61.82  )
% 61.66/61.82  % SZS output end Proof for SET890+1
% 61.66/61.82  % cvc5---1.0.5 exiting
% 61.66/61.82  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------