%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : NUM536+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n008.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 10:44:52 EDT 2023

% Result   : Theorem 0.22s 0.71s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : NUM536+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.37  % Computer : n008.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Fri Aug 25 15:04:32 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.22/0.52  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.71  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.zMVHwKXQOo/cvc5---1.0.5_18879.p...
% 0.22/0.71  ------- get file name : TPTP file name is NUM536+1
% 0.22/0.71  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_18879.smt2...
% 0.22/0.71  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.71  % SZS status Theorem for NUM536+1
% 0.22/0.71  % SZS output start Proof for NUM536+1
% 0.22/0.71  (
% 0.22/0.71  (let ((_let_1 (tptp.sdtpldt0 tptp.xS tptp.xx))) (let ((_let_2 (tptp.sdtmndt0 _let_1 tptp.xx))) (let ((_let_3 (not (= _let_2 tptp.xS)))) (let ((_let_4 (tptp.aElementOf0 tptp.xx tptp.xS))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.aSet0 tptp.xS))) (let ((_let_7 (tptp.aElement0 tptp.xx))) (let ((_let_8 (and _let_7 _let_6))) (let ((_let_9 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aElement0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtmndt0 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (and (tptp.aElement0 W3) (tptp.aElementOf0 W3 W0) (not (= W3 W1)))))))))))) (let ((_let_10 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aElement0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtpldt0 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (and (tptp.aElement0 W3) (or (tptp.aElementOf0 W3 W0) (= W3 W1)))))))))))) (let ((_let_11 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (tptp.aElement0 W1))))))) (let ((_let_12 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 tptp.xS))) (let ((_let_13 (= tptp.xx SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_14 (ASSUME :args (_let_5)))) (let ((_let_15 (or _let_12 _let_13))) (let ((_let_16 (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_17 (and _let_16 _let_15))) (let ((_let_18 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 _let_1))) (let ((_let_19 (= _let_18 _let_17))) (let ((_let_20 (forall ((W3 $$unsorted)) (= (and (tptp.aElement0 W3) (or (tptp.aElementOf0 W3 tptp.xS) (= W3 tptp.xx))) (tptp.aElementOf0 W3 (tptp.sdtpldt0 tptp.xS tptp.xx)))))) (let ((_let_21 (tptp.aSet0 _let_1))) (let ((_let_22 (and _let_21 _let_20))) (let ((_let_23 (not _let_7))) (let ((_let_24 (not _let_6))) (let ((_let_25 (or _let_24 _let_23 _let_22))) (let ((_let_26 (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_951 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aElement0 W1)) (= (= (tptp.sdtpldt0 W0 W1) BOUND_VARIABLE_951) (and (tptp.aSet0 BOUND_VARIABLE_951) (forall ((W3 $$unsorted)) (= (and (tptp.aElement0 W3) (or (tptp.aElementOf0 W3 W0) (= W1 W3))) (tptp.aElementOf0 W3 BOUND_VARIABLE_951))))))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (ASSUME :args (_let_8)))) (let ((_let_29 (AND_ELIM _let_28 :args (1)))) (let ((_let_30 (AND_ELIM _let_28 :args (0)))) (let ((_let_31 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_23 _let_24 _let_22 (not _let_25)))) _let_30 _let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.xS tptp.xx _let_1 QUANTIFIERS_INST_E_MATCHING ((tptp.aSet0 BOUND_VARIABLE_951) (tptp.sdtpldt0 W0 W1)))) :args (_let_26)))) _let_27 :args (_let_25 false _let_26)) :args (_let_22 false _let_7 false _let_6 false _let_25)))) (let ((_let_32 (not _let_22))) (let ((_let_33 (_let_20))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_33) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.aElement0 W3)))) :args _let_33))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_22 1)) :args ((or _let_20 _let_32))) _let_31 :args (_let_20 false _let_22)) :args (_let_19 false _let_20)))) (let ((_let_35 (not _let_13))) (let ((_let_36 (and _let_16 _let_18 _let_35))) (let ((_let_37 (= _let_12 _let_36))) (let ((_let_38 (not _let_12))) (let ((_let_39 (or _let_24 _let_38 _let_16))) (let ((_let_40 (not _let_36))) (let ((_let_41 (not _let_19))) (let ((_let_42 (not _let_17))) (let ((_let_43 (_let_19))) (let ((_let_44 (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 tptp.xS) (and (tptp.aElement0 W3) (tptp.aElementOf0 W3 (tptp.sdtpldt0 tptp.xS tptp.xx)) (not (= W3 tptp.xx))))))) (let ((_let_45 (not _let_37))) (let ((_let_46 (and _let_6 _let_44))) (let ((_let_47 (not _let_44))) (let ((_let_48 (= tptp.xS _let_2))) (let ((_let_49 (= _let_48 _let_46))) (let ((_let_50 (not _let_46))) (let ((_let_51 (not _let_21))) (let ((_let_52 (or _let_51 _let_23 _let_49))) (let ((_let_53 (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_987 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aElement0 W1)) (= (= (tptp.sdtmndt0 W0 W1) BOUND_VARIABLE_987) (and (tptp.aSet0 BOUND_VARIABLE_987) (forall ((W3 $$unsorted)) (= (and (tptp.aElement0 W3) (tptp.aElementOf0 W3 W0) (not (= W1 W3))) (tptp.aElementOf0 W3 BOUND_VARIABLE_987))))))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (or))) (let ((_let_56 (_let_47))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_56)) :args _let_56) (REWRITE :args ((=> _let_47 (not (= _let_12 (and _let_16 _let_18 (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 tptp.xx)))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_44))) (REFL :args (_let_45)) :args _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_46)) :args ((or _let_24 _let_46 _let_47))) _let_29 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_49)) :args ((or _let_48 _let_50 (not _let_49)))) (SYMM (ASSUME :args (_let_3))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_23 _let_51 _let_49 (not _let_52)))) _let_30 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_22 0)) :args ((or _let_21 _let_32))) _let_31 :args (_let_21 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_1 tptp.xx tptp.xS QUANTIFIERS_INST_E_MATCHING ((tptp.aSet0 BOUND_VARIABLE_987) (tptp.sdtmndt0 W0 W1)))) :args (_let_53)))) _let_54 :args (_let_52 false _let_53)) :args (_let_49 false _let_7 false _let_21 false _let_52)) :args (_let_50 true _let_48 false _let_49)) :args (_let_47 false _let_6 true _let_46)) :args (_let_45 true _let_44)))) (let ((_let_58 (_let_37))) (let ((_let_59 (REORDERING (CNF_EQUIV_NEG1 :args _let_58) :args ((or _let_12 _let_36 _let_37))))) (let ((_let_60 (forall ((W0 $$unsorted) (BOUND_VARIABLE_804 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aElementOf0 BOUND_VARIABLE_804 W0)) (tptp.aElement0 BOUND_VARIABLE_804))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (not _let_15))) (let ((_let_63 (not _let_16))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_17)) :args ((or _let_63 _let_17 _let_62))) (REORDERING (CNF_OR_NEG :args (_let_15 0)) :args ((or _let_38 _let_15))) (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_24 _let_16 _let_38 (not _let_39)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.xS SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aElementOf0 BOUND_VARIABLE_804 W0) false))))) :args (_let_60))) _let_61 :args (_let_39 false _let_60)) _let_29 _let_59 _let_57 (REORDERING (CNF_EQUIV_POS2 :args _let_43) :args ((or _let_18 _let_42 _let_41))) _let_34 (REORDERING (CNF_AND_POS :args (_let_36 1)) :args ((or _let_18 _let_40))) :args (_let_18 false _let_15 false _let_16 false _let_39 false _let_6 false _let_12 true _let_37 true _let_17 false _let_19 true _let_36)))) (let ((_let_65 (not _let_18))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_43) :args ((or _let_65 _let_17 _let_41))) _let_64 _let_34 :args (_let_17 false _let_18 false _let_19)))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_36 2)) :args ((or _let_35 _let_40))) (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_12 _let_13 _let_62))) _let_59 _let_57 :args ((or _let_12 _let_62) false _let_13 false _let_36 true _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_17 1)) :args ((or _let_15 _let_42))) _let_66 :args (_let_15 false _let_17)) :args (_let_12 false _let_15)))) (let ((_let_68 (_let_36))) (let ((_let_69 (ASSUME :args (_let_12)))) (let ((_let_70 (ASSUME :args (_let_13)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_69 _let_70 _let_14) :args (_let_5 _let_12 _let_13)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_14)) (CONG (SYMM (SYMM _let_70)) (REFL :args (tptp.xS)) :args (APPLY_UF tptp.aElementOf0)) (TRUE_INTRO _let_69))) :args (_let_12 _let_13 _let_5)) :args ((not (and _let_5 _let_12 _let_13)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) (REFL :args (_let_38)) (REFL :args (_let_35)) :args _let_55)) :args ((or _let_4 _let_35 _let_38))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_68) (CONG (REFL :args _let_68) (REFL :args (_let_63)) (REFL :args (_let_65)) (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_13))) :args _let_55)) :args ((or _let_13 _let_36 _let_63 _let_65))) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_58) _let_57 _let_67 :args (_let_40 true _let_37 false _let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_17 0)) :args ((or _let_16 _let_42))) _let_66 :args (_let_16 false _let_17)) _let_64 :args (_let_13 true _let_36 false _let_16 false _let_18)) _let_67 _let_14 :args (false false _let_13 false _let_12 true _let_4)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) true)) (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) true)) _let_11 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (=> (tptp.isFinite0 W0) true))) (forall ((W0 $$unsorted)) (= (= W0 tptp.slcrc0) (and (tptp.aSet0 W0) (not (exists ((W1 $$unsorted)) (tptp.aElementOf0 W1 W0)))))) (tptp.isFinite0 tptp.slcrc0) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (=> (tptp.isCountable0 W0) true))) (forall ((W0 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.isCountable0 W0)) (not (tptp.isFinite0 W0)))) (forall ((W0 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.isCountable0 W0)) (not (= W0 tptp.slcrc0)))) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (= (tptp.aSubsetOf0 W1 W0) (and (tptp.aSet0 W1) (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W1) (tptp.aElementOf0 W2 W0)))))))) (forall ((W0 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.isFinite0 W0)) (forall ((W1 $$unsorted)) (=> (tptp.aSubsetOf0 W1 W0) (tptp.isFinite0 W1))))) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (tptp.aSubsetOf0 W0 W0))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1)) (=> (and (tptp.aSubsetOf0 W0 W1) (tptp.aSubsetOf0 W1 W0)) (= W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1) (tptp.aSet0 W2)) (=> (and (tptp.aSubsetOf0 W0 W1) (tptp.aSubsetOf0 W1 W2)) (tptp.aSubsetOf0 W0 W2)))) _let_10 _let_9 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (= (tptp.sdtpldt0 (tptp.sdtmndt0 W0 W1) W1) W0))))) _let_8 _let_5 _let_3 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.72  )
% 0.22/0.72  % SZS output end Proof for NUM536+1
% 0.22/0.72  % cvc5---1.0.5 exiting
% 0.22/0.72  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------