%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEV515+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n028.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 19:22:42 EDT 2023

% Result   : Theorem 10.75s 11.06s
% Output   : Proof 10.75s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SEV515+1 : TPTP v8.1.2. Released v7.0.0.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n028.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   : Thu Aug 24 03:26:04 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 10.75/11.06  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.O0Jr8paeVk/cvc5---1.0.5_10926.p...
% 10.75/11.06  ------- get file name : TPTP file name is SEV515+1
% 10.75/11.06  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_10926.smt2...
% 10.75/11.06  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.75/11.06  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.75/11.06  % SZS status Theorem for SEV515+1
% 10.75/11.06  % SZS output start Proof for SEV515+1
% 10.75/11.06  (
% 10.75/11.06  (let ((_let_1 (forall ((X_2 $$unsorted) (X_1 $$unsorted)) (or (tptp.g_true_only X_2 X_1) (tptp.g_both X_2 X_1) (tptp.g_false_only X_2 X_1))))) (let ((_let_2 (not (or (forall ((A $$unsorted)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.g_both B B))) (let ((_let_2 (tptp.g_false_only B B))) (let ((_let_3 (tptp.g_true_only B B))) (or (and (tptp.g_true_only B A) (or _let_1 _let_3)) (and (tptp.g_both B A) (or _let_2 _let_3)) (and (tptp.g_false_only B A) (or _let_2 _let_1)))))))) (and (exists ((A $$unsorted)) (and (exists ((B $$unsorted)) (and (tptp.g_both B A) (tptp.g_both B B))) (not (exists ((B $$unsorted)) (let ((_let_1 (tptp.g_both B B))) (let ((_let_2 (tptp.g_false_only B B))) (let ((_let_3 (tptp.g_true_only B B))) (or (and (tptp.g_true_only B A) (or _let_1 _let_3)) (and (tptp.g_both B A) (or _let_2 _let_3)) (and (tptp.g_false_only B A) (or _let_2 _let_1)))))))))) (not (exists ((A $$unsorted)) (forall ((B $$unsorted)) (or (and (tptp.g_true_only B A) (tptp.g_false_only B B)) (and (tptp.g_false_only B A) (tptp.g_true_only B B))))))))))) (let ((_let_3 (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_4 (and (tptp.g_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17) _let_3))) (let ((_let_5 (tptp.g_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_6 (and (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17) _let_5))) (let ((_let_7 (or _let_6 _let_4))) (let ((_let_8 (forall ((B $$unsorted)) (or (and (tptp.g_true_only B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17) (tptp.g_false_only B B)) (and (tptp.g_false_only B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17) (tptp.g_true_only B B)))))) (let ((_let_9 (forall ((A $$unsorted)) (not (forall ((B $$unsorted)) (or (and (tptp.g_true_only B A) (tptp.g_false_only B B)) (and (tptp.g_false_only B A) (tptp.g_true_only B B)))))))) (let ((_let_10 (forall ((A $$unsorted) (BOUND_VARIABLE_827 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_777 $$unsorted)) (or (not (tptp.g_true_only BOUND_VARIABLE_777 A)) (and (not (tptp.g_both BOUND_VARIABLE_777 BOUND_VARIABLE_777)) (not (tptp.g_true_only BOUND_VARIABLE_777 BOUND_VARIABLE_777)))))) (not (forall ((BOUND_VARIABLE_789 $$unsorted)) (or (not (tptp.g_both BOUND_VARIABLE_789 A)) (and (not (tptp.g_false_only BOUND_VARIABLE_789 BOUND_VARIABLE_789)) (not (tptp.g_true_only BOUND_VARIABLE_789 BOUND_VARIABLE_789)))))) (not (forall ((BOUND_VARIABLE_801 $$unsorted)) (or (not (tptp.g_false_only BOUND_VARIABLE_801 A)) (and (not (tptp.g_false_only BOUND_VARIABLE_801 BOUND_VARIABLE_801)) (not (tptp.g_both BOUND_VARIABLE_801 BOUND_VARIABLE_801)))))) (not (tptp.g_both BOUND_VARIABLE_827 A)) (not (tptp.g_both BOUND_VARIABLE_827 BOUND_VARIABLE_827)))))) (let ((_let_11 (not _let_9))) (let ((_let_12 (tptp.g_both SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_13 (not _let_12))) (let ((_let_14 (forall ((BOUND_VARIABLE_801 $$unsorted)) (or (not (tptp.g_false_only BOUND_VARIABLE_801 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (and (not (tptp.g_false_only BOUND_VARIABLE_801 BOUND_VARIABLE_801)) (not (tptp.g_both BOUND_VARIABLE_801 BOUND_VARIABLE_801))))))) (let ((_let_15 (not _let_14))) (let ((_let_16 (forall ((BOUND_VARIABLE_789 $$unsorted)) (or (not (tptp.g_both BOUND_VARIABLE_789 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (and (not (tptp.g_false_only BOUND_VARIABLE_789 BOUND_VARIABLE_789)) (not (tptp.g_true_only BOUND_VARIABLE_789 BOUND_VARIABLE_789))))))) (let ((_let_17 (not _let_16))) (let ((_let_18 (forall ((BOUND_VARIABLE_777 $$unsorted)) (or (not (tptp.g_true_only BOUND_VARIABLE_777 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (and (not (tptp.g_both BOUND_VARIABLE_777 BOUND_VARIABLE_777)) (not (tptp.g_true_only BOUND_VARIABLE_777 BOUND_VARIABLE_777))))))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_17 _let_15 _let_13 _let_13))) (let ((_let_21 (not _let_10))) (let ((_let_22 (not _let_20))) (let ((_let_23 (forall ((BOUND_VARIABLE_726 $$unsorted)) (or (not (tptp.g_false_only BOUND_VARIABLE_726 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (and (not (tptp.g_false_only BOUND_VARIABLE_726 BOUND_VARIABLE_726)) (not (tptp.g_both BOUND_VARIABLE_726 BOUND_VARIABLE_726))))))) (let ((_let_24 (not _let_23))) (let ((_let_25 (forall ((BOUND_VARIABLE_714 $$unsorted)) (or (not (tptp.g_both BOUND_VARIABLE_714 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (and (not (tptp.g_false_only BOUND_VARIABLE_714 BOUND_VARIABLE_714)) (not (tptp.g_true_only BOUND_VARIABLE_714 BOUND_VARIABLE_714))))))) (let ((_let_26 (not _let_25))) (let ((_let_27 (forall ((BOUND_VARIABLE_702 $$unsorted)) (or (not (tptp.g_true_only BOUND_VARIABLE_702 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (and (not (tptp.g_both BOUND_VARIABLE_702 BOUND_VARIABLE_702)) (not (tptp.g_true_only BOUND_VARIABLE_702 BOUND_VARIABLE_702))))))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_26 _let_24))) (let ((_let_30 (forall ((A $$unsorted)) (or (not (forall ((BOUND_VARIABLE_702 $$unsorted)) (or (not (tptp.g_true_only BOUND_VARIABLE_702 A)) (and (not (tptp.g_both BOUND_VARIABLE_702 BOUND_VARIABLE_702)) (not (tptp.g_true_only BOUND_VARIABLE_702 BOUND_VARIABLE_702)))))) (not (forall ((BOUND_VARIABLE_714 $$unsorted)) (or (not (tptp.g_both BOUND_VARIABLE_714 A)) (and (not (tptp.g_false_only BOUND_VARIABLE_714 BOUND_VARIABLE_714)) (not (tptp.g_true_only BOUND_VARIABLE_714 BOUND_VARIABLE_714)))))) (not (forall ((BOUND_VARIABLE_726 $$unsorted)) (or (not (tptp.g_false_only BOUND_VARIABLE_726 A)) (and (not (tptp.g_false_only BOUND_VARIABLE_726 BOUND_VARIABLE_726)) (not (tptp.g_both BOUND_VARIABLE_726 BOUND_VARIABLE_726)))))))))) (let ((_let_31 (not _let_29))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (NOT_OR_ELIM _let_32 :args (0)))) (let ((_let_34 (or))) (let ((_let_35 (not _let_30))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_33) :args (_let_35))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_30))) (REFL :args (_let_31)) :args _let_34)) _let_33 :args (_let_31 true _let_30)))) (let ((_let_37 (REFL :args (_let_29)))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 2)) (CONG _let_37 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_34)) :args ((or _let_23 _let_29))) _let_36 :args (_let_23 true _let_29)))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 0)) (CONG _let_37 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_34)) :args ((or _let_27 _let_29))) _let_36 :args (_let_27 true _let_29)))) (let ((_let_40 (or _let_3 _let_12 _let_5))) (let ((_let_41 (_let_1))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_44 (not _let_5))) (let ((_let_45 (and _let_44 _let_13))) (let ((_let_46 (or _let_44 _let_45))) (let ((_let_47 (_let_23))) (let ((_let_48 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_44 _let_45 (not _let_46)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_47) :args _let_48) :args _let_47)) _let_38 :args (_let_46 false _let_23)) (REORDERING (CNF_AND_POS :args (_let_45 0)) :args ((or _let_44 (not _let_45)))) :args (_let_44 false _let_46 true _let_45)))) (let ((_let_50 (not _let_3))) (let ((_let_51 (and _let_13 _let_50))) (let ((_let_52 (or _let_50 _let_51))) (let ((_let_53 (_let_27))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_50 _let_51 (not _let_52)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_53) :args _let_48) :args _let_53)) _let_39 :args (_let_52 false _let_27)) (REORDERING (CNF_AND_POS :args (_let_51 1)) :args ((or _let_50 (not _let_51)))) :args (_let_50 false _let_52 true _let_51)))) (let ((_let_55 (_let_10))) (let ((_let_56 (_let_11))) (let ((_let_57 (_let_8))) (let ((_let_58 (not _let_6))) (let ((_let_59 (not _let_4))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_7)) :args ((or _let_6 _let_4 (not _let_7)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_4 1)) :args ((or _let_3 _let_59))) _let_54 :args (_let_59 true _let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_6 1)) :args ((or _let_5 _let_58))) _let_49 :args (_let_58 true _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_57) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_57)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_56)) :args _let_56) (REWRITE :args ((=> _let_11 (not (not _let_8))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_9))) (REFL :args _let_57) :args _let_34)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (NOT_OR_ELIM _let_32 :args (1))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_10))) (REFL :args _let_56) :args _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_55) :args _let_43) :args _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_20))) :args ((or _let_13 _let_19 _let_17 _let_15 _let_22))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_3 _let_12 _let_5 (not _let_40)))) _let_54 _let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args _let_43) :args _let_41)) _let_42 :args (_let_40 false _let_1)) :args (_let_12 true _let_3 true _let_5 false _let_40)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_27 (= BOUND_VARIABLE_702 BOUND_VARIABLE_777)))) _let_39 :args (_let_18 false _let_27)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_25 (= BOUND_VARIABLE_714 BOUND_VARIABLE_789)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 1)) (CONG _let_37 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_34)) :args ((or _let_25 _let_29))) _let_36 :args (_let_25 true _let_29)) :args (_let_16 false _let_25)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_23 (= BOUND_VARIABLE_726 BOUND_VARIABLE_801)))) _let_38 :args (_let_14 false _let_23)) :args (_let_22 false _let_12 false _let_18 false _let_16 false _let_14)) :args (_let_21 true _let_20)) :args (_let_11 true _let_10)) :args (_let_8 true _let_9)) :args (_let_7 false _let_8)) :args (false true _let_4 true _let_6 false _let_7)) :args (_let_2 (forall ((X_2 $$unsorted) (X_1 $$unsorted)) (= (tptp.g_true_only X_2 X_1) (and (tptp.g_true X_2 X_1) (not (tptp.g_false X_2 X_1))))) (forall ((X_2 $$unsorted) (X_1 $$unsorted)) (= (tptp.g_both X_2 X_1) (and (tptp.g_true X_2 X_1) (tptp.g_false X_2 X_1)))) (forall ((X_2 $$unsorted) (X_1 $$unsorted)) (= (tptp.g_false_only X_2 X_1) (and (tptp.g_false X_2 X_1) (not (tptp.g_true X_2 X_1))))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.75/11.07  )
% 10.75/11.07  % SZS output end Proof for SEV515+1
% 10.75/11.07  % cvc5---1.0.5 exiting
% 10.75/11.07  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------