%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU406+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n025.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 16:31:25 EDT 2023

% Result   : Theorem 10.41s 10.61s
% Output   : Proof 10.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU406+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.19/0.35  % Computer : n025.cluster.edu
% 0.19/0.35  % Model    : x86_64 x86_64
% 0.19/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.35  % Memory   : 8042.1875MB
% 0.19/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.35  % CPULimit   : 300
% 0.19/0.35  % WCLimit    : 300
% 0.19/0.35  % DateTime   : Wed Aug 23 17:47:35 EDT 2023
% 0.19/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 10.41/10.61  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.S5zbdlx74t/cvc5---1.0.5_30318.p...
% 10.41/10.61  ------- get file name : TPTP file name is SEU406+1
% 10.41/10.61  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30318.smt2...
% 10.41/10.61  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.41/10.61  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.41/10.61  % SZS status Theorem for SEU406+1
% 10.41/10.61  % SZS output start Proof for SEU406+1
% 10.41/10.61  (
% 10.41/10.61  (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A (tptp.k4_xboole_0 B A)) (tptp.k2_xboole_0 A B))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k2_xboole_0 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (or (tptp.r2_hidden D A) (tptp.r2_hidden D B)))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 B A))))) (let ((_let_4 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 C D))) (let ((_let_2 (tptp.r2_hidden B _let_1))) (let ((_let_3 (tptp.r2_hidden A D))) (let ((_let_4 (tptp.r2_hidden B D))) (let ((_let_5 (tptp.r2_hidden A _let_1))) (let ((_let_6 (tptp.k2_xboole_0 C D))) (not (and (tptp.r2_hidden A _let_6) (tptp.r2_hidden B _let_6) (not (and _let_5 _let_2)) (not (and _let_3 _let_4)) (not (and _let_5 _let_4)) (not (and _let_3 _let_2)))))))))))))) (let ((_let_5 (tptp.k4_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_6 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_5))) (let ((_let_7 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_8 (or _let_7 _let_6))) (let ((_let_9 (tptp.k2_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_5))) (let ((_let_10 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_9))) (let ((_let_11 (= _let_10 _let_8))) (let ((_let_12 (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (= (tptp.r2_hidden D (tptp.k2_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_1)) (or (tptp.r2_hidden D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.r2_hidden D _let_1))))))) (let ((_let_13 (_let_2))) (let ((_let_14 (ASSUME :args _let_13))) (let ((_let_15 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_5 _let_9 QUANTIFIERS_INST_CBQI_PROP)) :args _let_13))) _let_14 :args (_let_12 false _let_2)))) (let ((_let_16 (_let_12))) (let ((_let_17 (ASSUME :args _let_16))) (let ((_let_18 (tptp.k2_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_19 (= _let_18 _let_9))) (let ((_let_20 (tptp.k2_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_21 (= _let_20 _let_18))) (let ((_let_22 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_20))) (let ((_let_23 (_let_1))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_23))) _let_24 :args (_let_19 false _let_1)))) (let ((_let_26 (_let_3))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_PROP)) :args _let_26)) _let_27 :args (_let_21 false _let_3)))) (let ((_let_29 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_30 (and _let_29 _let_6))) (let ((_let_31 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_5))) (let ((_let_32 (and _let_31 _let_7))) (let ((_let_33 (and _let_29 _let_7))) (let ((_let_34 (and _let_31 _let_6))) (let ((_let_35 (not _let_22))) (let ((_let_36 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_20))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_37 _let_35 _let_34 _let_33 _let_32 _let_30))) (let ((_let_39 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 C D))) (let ((_let_2 (tptp.r2_hidden B _let_1))) (let ((_let_3 (tptp.r2_hidden A D))) (let ((_let_4 (tptp.r2_hidden B D))) (let ((_let_5 (tptp.r2_hidden A _let_1))) (let ((_let_6 (tptp.k2_xboole_0 C D))) (or (not (tptp.r2_hidden A _let_6)) (not (tptp.r2_hidden B _let_6)) (and _let_5 _let_2) (and _let_3 _let_4) (and _let_5 _let_4) (and _let_3 _let_2))))))))))) (let ((_let_40 (not _let_38))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (or))) (let ((_let_43 (not _let_39))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_41) :args (_let_43))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_39))) (REFL :args (_let_40)) :args _let_42)) _let_41 :args (_let_40 true _let_39)))) (let ((_let_45 (REFL :args (_let_38)))) (let ((_let_46 (and _let_22 _let_21 _let_19))) (let ((_let_47 (_let_22 _let_21 _let_19))) (let ((_let_48 (ASSUME :args (_let_22)))) (let ((_let_49 (APPLY_UF tptp.r2_hidden))) (let ((_let_50 (ASSUME :args (_let_21)))) (let ((_let_51 (ASSUME :args (_let_19)))) (let ((_let_52 (TRANS (SYMM _let_51) (SYMM _let_50)))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_11)) :args ((or _let_8 (not _let_10) (not _let_11)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_46)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_48 _let_50 _let_51) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) _let_52 :args _let_49) (TRUE_INTRO _let_48))) :args _let_47)) :args _let_47)) :args (true _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 1)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_22))) :args _let_42)) :args ((or _let_22 _let_38))) _let_44 :args (_let_22 true _let_38)) _let_28 _let_25 :args (_let_10 false _let_22 false _let_21 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_16)) _let_15 :args (_let_11 false _let_12)) :args (_let_8 false _let_10 false _let_11)))) (let ((_let_54 (not _let_6))) (let ((_let_55 (or _let_29 _let_31))) (let ((_let_56 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_9))) (let ((_let_57 (= _let_56 _let_55))) (let ((_let_58 (and _let_36 _let_21 _let_19))) (let ((_let_59 (_let_36 _let_21 _let_19))) (let ((_let_60 (ASSUME :args (_let_36)))) (let ((_let_61 (not _let_29))) (let ((_let_62 (REORDERING (CNF_OR_POS :args (_let_8)) :args ((or _let_6 _let_7 (not _let_8)))))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_31 _let_29 (not _let_55)))) (MACRO_RESOLUTION_TRUST _let_62 _let_53 (REORDERING (CNF_AND_NEG :args (_let_30)) :args ((or _let_30 _let_54 _let_61))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_38 5)) _let_44 :args ((not _let_30) true _let_38)) (CNF_AND_NEG :args (_let_33)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_38 3)) _let_44 :args ((not _let_33) true _let_38)) :args (_let_61 false _let_8 true _let_6 true _let_30 true _let_7 true _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_57)) :args ((or _let_55 (not _let_56) (not _let_57)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_58)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_60 _let_50 _let_51) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) _let_52 :args _let_49) (TRUE_INTRO _let_60))) :args _let_59)) :args _let_59)) :args (true _let_58)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 0)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_36))) :args _let_42)) :args ((or _let_36 _let_38))) _let_44 :args (_let_36 true _let_38)) _let_28 _let_25 :args (_let_56 false _let_36 false _let_21 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_16)) _let_15 :args (_let_57 false _let_12)) :args (_let_55 false _let_56 false _let_57)) :args (_let_31 true _let_29 false _let_55)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_62 (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_32)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_38 4)) _let_44 :args ((not _let_32) true _let_38)) _let_63 :args ((not _let_7) true _let_32 false _let_31)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_34)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_38 2)) _let_44 :args ((not _let_34) true _let_38)) _let_63 :args (_let_54 true _let_34 false _let_31)) _let_53 :args (false true _let_7 true _let_6 false _let_8)) :args (_let_4 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) _let_3 _let_2 true true true true (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_subset_1 B A))) (tptp.v1_xboole_0 tptp.k1_xboole_0) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 (tptp.k2_xboole_0 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 (tptp.k2_xboole_0 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A A) A)) (exists ((A $$unsorted)) (tptp.v1_xboole_0 A)) (exists ((A $$unsorted)) (not (tptp.v1_xboole_0 A))) (forall ((A $$unsorted)) (= (tptp.k2_xboole_0 A tptp.k1_xboole_0) A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))) _let_1 (forall ((A $$unsorted)) (= (tptp.k4_xboole_0 A tptp.k1_xboole_0) A)) (forall ((A $$unsorted)) (= (tptp.k4_xboole_0 tptp.k1_xboole_0 A) tptp.k1_xboole_0)) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.v1_xboole_0 A) (not (= A B)) (tptp.v1_xboole_0 B)))) true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.41/10.61  )
% 10.41/10.61  % SZS output end Proof for SEU406+1
% 10.41/10.61  % cvc5---1.0.5 exiting
% 10.41/10.61  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------