%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL654+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n027.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 07:02:48 EDT 2023

% Result   : Theorem 16.39s 16.60s
% Output   : Proof 16.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : LCL654+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n027.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 20:31:03 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 16.39/16.60  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.M48H2rRNtm/cvc5---1.0.5_14197.p...
% 16.39/16.60  ------- get file name : TPTP file name is LCL654+1.001
% 16.39/16.60  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_14197.smt2...
% 16.39/16.60  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 16.39/16.60  --- Run --no-e-matching --full-saturate-quant at 5...
% 16.39/16.60  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 16.39/16.60  % SZS status Theorem for LCL654+1.001
% 16.39/16.60  % SZS output start Proof for LCL654+1.001
% 16.39/16.60  (
% 16.39/16.60  (let ((_let_1 (not (not (exists ((X $$unsorted)) (not (or (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p1 Y)))))))) (tptp.p1 Y)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) false)))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))))))))) (let ((_let_2 (forall ((X $$unsorted)) (tptp.r1 X X)))) (let ((_let_3 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_4 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_5 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_6 (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_7 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_8 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 X)) (tptp.p1 X))))) (let ((_let_9 (not _let_5))) (let ((_let_10 (not _let_8))) (let ((_let_11 (not _let_7))) (let ((_let_12 (not _let_4))) (let ((_let_13 (not _let_3))) (let ((_let_14 (or _let_13 _let_12 _let_11 _let_10 _let_9 _let_6))) (let ((_let_15 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X)) (tptp.p1 X))))) (let ((_let_16 (not _let_15))) (let ((_let_17 (forall ((Y $$unsorted) (BOUND_VARIABLE_823 $$unsorted) (BOUND_VARIABLE_813 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_813)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_813 Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))) (not (tptp.r1 Y BOUND_VARIABLE_823)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_823 Y)) (tptp.p1 Y)))))))) (let ((_let_18 (not _let_17))) (let ((_let_19 (forall ((Y $$unsorted) (BOUND_VARIABLE_789 $$unsorted) (BOUND_VARIABLE_787 $$unsorted) (BOUND_VARIABLE_785 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_785)) (not (tptp.r1 BOUND_VARIABLE_785 BOUND_VARIABLE_789)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_789 X)) (tptp.p1 X)))) (not (tptp.r1 BOUND_VARIABLE_785 BOUND_VARIABLE_787)) (tptp.p1 BOUND_VARIABLE_787))))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or (not (forall ((Y $$unsorted) (BOUND_VARIABLE_743 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (not (tptp.p1 Y)) (not (tptp.r1 Y BOUND_VARIABLE_743)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_743 Y)) (not (tptp.p1 Y)))))))) _let_20 _let_18 (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (not (forall ((X $$unsorted)) (not (tptp.r1 Y X))))))) _let_13 _let_16 _let_12 _let_9 _let_6))) (let ((_let_22 (forall ((X $$unsorted) (BOUND_VARIABLE_881 $$unsorted) (BOUND_VARIABLE_879 $$unsorted) (BOUND_VARIABLE_877 $$unsorted)) (or (not (forall ((Y $$unsorted) (BOUND_VARIABLE_743 $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p1 Y)) (not (tptp.r1 Y BOUND_VARIABLE_743)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_743 Y)) (not (tptp.p1 Y)))))))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_789 $$unsorted) (BOUND_VARIABLE_787 $$unsorted) (BOUND_VARIABLE_785 $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.r1 Y BOUND_VARIABLE_785)) (not (tptp.r1 BOUND_VARIABLE_785 BOUND_VARIABLE_789)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_789 X)) (tptp.p1 X)))) (not (tptp.r1 BOUND_VARIABLE_785 BOUND_VARIABLE_787)) (tptp.p1 BOUND_VARIABLE_787)))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_823 $$unsorted) (BOUND_VARIABLE_813 $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.r1 Y BOUND_VARIABLE_813)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_813 Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))) (not (tptp.r1 Y BOUND_VARIABLE_823)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_823 Y)) (tptp.p1 Y))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (not (tptp.r1 Y X))))))) (not (tptp.r1 X BOUND_VARIABLE_877)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_877 X)) (tptp.p1 X)))) (not (tptp.r1 BOUND_VARIABLE_877 BOUND_VARIABLE_881)) (not (tptp.r1 BOUND_VARIABLE_881 BOUND_VARIABLE_879)) (tptp.p1 BOUND_VARIABLE_879))))) (let ((_let_23 (not _let_21))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (or))) (let ((_let_26 (not _let_22))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_24) :args (_let_26))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_22))) (REFL :args (_let_23)) :args _let_25)) _let_24 :args (_let_23 true _let_22)))) (let ((_let_28 (REFL :args (_let_21)))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 4)) (CONG _let_28 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_3))) :args _let_25)) :args ((or _let_3 _let_21))) _let_27 :args (_let_3 true _let_21)))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 6)) (CONG _let_28 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_4))) :args _let_25)) :args ((or _let_4 _let_21))) _let_27 :args (_let_4 true _let_21)))) (let ((_let_31 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 X)) (tptp.p1 X))))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_11 _let_32))) (let ((_let_34 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))))) (let ((_let_35 (not _let_33))) (let ((_let_36 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Y)) (tptp.p1 Y))))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_39 (not _let_38))) (let ((_let_40 (not _let_34))) (let ((_let_41 (or _let_13 _let_12 _let_40 _let_39 _let_37))) (let ((_let_42 (_let_17))) (let ((_let_43 (_let_2))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (_let_40))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_45)) :args _let_45)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_34))) (REFL :args (_let_35)) :args _let_25)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_13 _let_12 _let_40 _let_39 _let_37 (not _let_41)))) _let_29 _let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM)) :args _let_43)) _let_44 :args (_let_38 false _let_2)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_15 (= X Y)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 5)) (CONG _let_28 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_25)) :args ((or _let_15 _let_21))) _let_27 :args (_let_15 true _let_21)) :args (_let_36 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_42) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 2)) (CONG _let_28 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_25)) :args ((or _let_17 _let_21))) _let_27 :args (_let_17 true _let_21)) :args (_let_41 false _let_17)) :args (_let_40 false _let_3 false _let_4 false _let_38 false _let_36 false _let_41)) :args (_let_35 true _let_34)))) (let ((_let_47 (REFL :args (_let_33)))) (let ((_let_48 (_let_19))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_13 _let_12 _let_9 _let_6 _let_11 _let_10 (not _let_14)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_48) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 1)) (CONG _let_28 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_25)) :args ((or _let_19 _let_21))) _let_27 :args (_let_19 true _let_21)) :args (_let_14 false _let_19)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_31 (= X X)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 1)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_25)) :args ((or _let_31 _let_33))) _let_46 :args (_let_31 true _let_33)) :args (_let_8 false _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 0)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_7))) :args _let_25)) :args ((or _let_7 _let_33))) _let_46 :args (_let_7 true _let_33)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_21 8)) _let_27 :args ((not _let_6) true _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 7)) (CONG _let_28 (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_5))) :args _let_25)) :args ((or _let_5 _let_21))) _let_27 :args (_let_5 true _let_21)) _let_30 _let_29 :args (false false _let_14 false _let_8 false _let_7 true _let_6 false _let_5 false _let_4 false _let_3)) :args (_let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))
% 16.39/16.60  )
% 16.39/16.60  % SZS output end Proof for LCL654+1.001
% 16.39/16.60  % cvc5---1.0.5 exiting
% 16.39/16.60  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------