%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL668+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n022.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 07:02:59 EDT 2023

% Result   : Theorem 10.35s 10.59s
% Output   : Proof 10.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : LCL668+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n022.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 20:38:56 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 10.35/10.59  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.NDKYh7hOHM/cvc5---1.0.5_21811.p...
% 10.35/10.59  ------- get file name : TPTP file name is LCL668+1.001
% 10.35/10.59  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_21811.smt2...
% 10.35/10.59  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.35/10.59  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.35/10.59  % SZS status Theorem for LCL668+1.001
% 10.35/10.59  % SZS output start Proof for LCL668+1.001
% 10.35/10.59  (
% 10.35/10.59  (let ((_let_1 (not (not (exists ((X $$unsorted)) (not (or (forall ((Y $$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)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (and (not (tptp.p12 X)) (not (tptp.p10 X)) (not (tptp.p8 X)) (not (tptp.p6 X)) (not (tptp.p4 X)) (not (tptp.p2 X))))))))))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p7 Y))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (or (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (let ((_let_1 (tptp.p5 X))) (let ((_let_2 (tptp.p1 X))) (or (not (tptp.r1 Y X)) (not (or (and (not _let_1) (not _let_2)) (and _let_2 _let_1)))))))))))))))))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p6 X))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (or (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (let ((_let_1 (tptp.p4 X))) (let ((_let_2 (tptp.p5 X))) (or (not (tptp.r1 Y X)) (not (or (and (not _let_1) (not _let_2)) (and _let_2 _let_1)))))))))))))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p5 Y))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (or (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$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)) (forall ((X $$unsorted)) (let ((_let_1 (tptp.p3 X))) (let ((_let_2 (tptp.p4 X))) (or (not (tptp.r1 Y X)) (not (or (and (not _let_1) (not _let_2)) (and _let_2 _let_1)))))))))))))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (or (not (forall ((Y $$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)) (forall ((X $$unsorted)) (let ((_let_1 (tptp.p2 X))) (let ((_let_2 (tptp.p3 X))) (or (not (tptp.r1 Y X)) (not (or (and (not _let_1) (not _let_2)) (and _let_2 _let_1)))))))))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p3 Y))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (let ((_let_1 (tptp.p1 X))) (let ((_let_2 (tptp.p2 X))) (or (not (tptp.r1 Y X)) (not (or (and (not _let_1) (not _let_2)) (and _let_2 _let_1)))))))))))))))))))))))))))))))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (and (tptp.p6 X) (tptp.p5 X) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X))))))))))))))))))))) (let ((_let_2 (forall ((X $$unsorted)) (tptp.r1 X X)))) (let ((_let_3 (tptp.p3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_4 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_5 (or _let_4 _let_3))) (let ((_let_6 (not _let_4))) (let ((_let_7 (not _let_3))) (let ((_let_8 (or _let_7 _let_6))) (let ((_let_9 (and _let_5 _let_8))) (let ((_let_10 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_11 (not _let_10))) (let ((_let_12 (or _let_11 _let_11 _let_11 _let_11 _let_9))) (let ((_let_13 (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_6 _let_14))) (let ((_let_16 (or _let_13 _let_4))) (let ((_let_17 (and _let_16 _let_15))) (let ((_let_18 (or _let_11 _let_11 _let_11 _let_11 _let_17))) (let ((_let_19 (and _let_12 (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p3 Y)))) _let_18))) (let ((_let_20 (or _let_11 _let_19))) (let ((_let_21 (tptp.p4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_7))) (let ((_let_24 (or _let_3 _let_21))) (let ((_let_25 (and _let_24 _let_23))) (let ((_let_26 (or _let_11 _let_11 _let_11 _let_11 _let_11 _let_25))) (let ((_let_27 (and _let_26 (not (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X)) (tptp.p4 X)))) _let_20))) (let ((_let_28 (or _let_11 _let_27))) (let ((_let_29 (tptp.p5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_22))) (let ((_let_32 (or _let_21 _let_29))) (let ((_let_33 (and _let_32 _let_31))) (let ((_let_34 (or _let_11 _let_11 _let_11 _let_11 _let_11 _let_11 _let_33))) (let ((_let_35 (and _let_34 (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p5 Y)))) _let_28))) (let ((_let_36 (or _let_11 _let_35))) (let ((_let_37 (or _let_14 _let_30))) (let ((_let_38 (or _let_29 _let_13))) (let ((_let_39 (and _let_38 _let_37))) (let ((_let_40 (or _let_11 _let_11 _let_11 _let_11 _let_11 _let_11 _let_11 _let_39))) (let ((_let_41 (and _let_40 (not (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X)) (tptp.p6 X)))) _let_36))) (let ((_let_42 (or _let_11 _let_41))) (let ((_let_43 (forall ((Y $$unsorted) (BOUND_VARIABLE_2103 $$unsorted) (BOUND_VARIABLE_2101 $$unsorted) (BOUND_VARIABLE_2099 $$unsorted) (BOUND_VARIABLE_2097 $$unsorted) (BOUND_VARIABLE_2081 $$unsorted) (BOUND_VARIABLE_2079 $$unsorted) (BOUND_VARIABLE_2077 $$unsorted) (BOUND_VARIABLE_2075 $$unsorted) (BOUND_VARIABLE_2073 $$unsorted) (BOUND_VARIABLE_2083 $$unsorted) (BOUND_VARIABLE_2025 $$unsorted) (BOUND_VARIABLE_2085 $$unsorted) (BOUND_VARIABLE_2027 $$unsorted) (BOUND_VARIABLE_2087 $$unsorted) (BOUND_VARIABLE_2029 $$unsorted) (BOUND_VARIABLE_2089 $$unsorted) (BOUND_VARIABLE_2031 $$unsorted) (BOUND_VARIABLE_2091 $$unsorted) (BOUND_VARIABLE_2033 $$unsorted) (BOUND_VARIABLE_2093 $$unsorted) (BOUND_VARIABLE_2035 $$unsorted) (BOUND_VARIABLE_2061 $$unsorted) (BOUND_VARIABLE_2095 $$unsorted) (BOUND_VARIABLE_2037 $$unsorted) (BOUND_VARIABLE_2063 $$unsorted) (BOUND_VARIABLE_2065 $$unsorted) (BOUND_VARIABLE_2067 $$unsorted) (BOUND_VARIABLE_2069 $$unsorted) (BOUND_VARIABLE_2071 $$unsorted)) (let ((_let_1 (tptp.p1 BOUND_VARIABLE_2063))) (let ((_let_2 (tptp.p2 BOUND_VARIABLE_2063))) (let ((_let_3 (tptp.p2 BOUND_VARIABLE_2065))) (let ((_let_4 (tptp.p3 BOUND_VARIABLE_2065))) (let ((_let_5 (tptp.p3 BOUND_VARIABLE_2101))) (let ((_let_6 (tptp.p4 BOUND_VARIABLE_2101))) (let ((_let_7 (tptp.p4 BOUND_VARIABLE_2085))) (let ((_let_8 (tptp.p5 BOUND_VARIABLE_2085))) (let ((_let_9 (tptp.p5 BOUND_VARIABLE_2031))) (let ((_let_10 (tptp.p1 BOUND_VARIABLE_2031))) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (and (or (not (tptp.r1 Y BOUND_VARIABLE_2025)) (not (tptp.r1 BOUND_VARIABLE_2025 BOUND_VARIABLE_2037)) (not (tptp.r1 BOUND_VARIABLE_2037 BOUND_VARIABLE_2027)) (not (tptp.r1 BOUND_VARIABLE_2027 BOUND_VARIABLE_2035)) (not (tptp.r1 BOUND_VARIABLE_2035 BOUND_VARIABLE_2029)) (not (tptp.r1 BOUND_VARIABLE_2029 BOUND_VARIABLE_2033)) (not (tptp.r1 BOUND_VARIABLE_2033 BOUND_VARIABLE_2031)) (and (or _let_9 _let_10) (or (not _let_10) (not _let_9)))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p6 X)))) (or (not (tptp.r1 Y BOUND_VARIABLE_2061)) (and (or (not (tptp.r1 BOUND_VARIABLE_2061 BOUND_VARIABLE_2077)) (not (tptp.r1 BOUND_VARIABLE_2077 BOUND_VARIABLE_2093)) (not (tptp.r1 BOUND_VARIABLE_2093 BOUND_VARIABLE_2081)) (not (tptp.r1 BOUND_VARIABLE_2081 BOUND_VARIABLE_2089)) (not (tptp.r1 BOUND_VARIABLE_2089 BOUND_VARIABLE_2083)) (not (tptp.r1 BOUND_VARIABLE_2083 BOUND_VARIABLE_2085)) (and (or _let_7 _let_8) (or (not _let_8) (not _let_7)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_2061 Y)) (tptp.p5 Y)))) (or (not (tptp.r1 BOUND_VARIABLE_2061 BOUND_VARIABLE_2087)) (and (or (not (tptp.r1 BOUND_VARIABLE_2087 BOUND_VARIABLE_2095)) (not (tptp.r1 BOUND_VARIABLE_2095 BOUND_VARIABLE_2069)) (not (tptp.r1 BOUND_VARIABLE_2069 BOUND_VARIABLE_2097)) (not (tptp.r1 BOUND_VARIABLE_2097 BOUND_VARIABLE_2073)) (not (tptp.r1 BOUND_VARIABLE_2073 BOUND_VARIABLE_2101)) (and (or _let_5 _let_6) (or (not _let_6) (not _let_5)))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_2087 X)) (tptp.p4 X)))) (or (not (tptp.r1 BOUND_VARIABLE_2087 BOUND_VARIABLE_2099)) (and (or (not (tptp.r1 BOUND_VARIABLE_2099 BOUND_VARIABLE_2091)) (not (tptp.r1 BOUND_VARIABLE_2091 BOUND_VARIABLE_2071)) (not (tptp.r1 BOUND_VARIABLE_2071 BOUND_VARIABLE_2075)) (not (tptp.r1 BOUND_VARIABLE_2075 BOUND_VARIABLE_2065)) (and (or _let_3 _let_4) (or (not _let_4) (not _let_3)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_2099 Y)) (tptp.p3 Y)))) (or (not (tptp.r1 BOUND_VARIABLE_2099 BOUND_VARIABLE_2103)) (not (tptp.r1 BOUND_VARIABLE_2103 BOUND_VARIABLE_2067)) (not (tptp.r1 BOUND_VARIABLE_2067 BOUND_VARIABLE_2079)) (not (tptp.r1 BOUND_VARIABLE_2079 BOUND_VARIABLE_2063)) (and (or _let_1 _let_2) (or (not _let_2) (not _let_1))))))))))))))))))))))))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) (and (not (tptp.p12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) (not (tptp.p10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) (not (tptp.p8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) (not (tptp.p6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) (not (tptp.p4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) (not (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (tptp.p7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (and (tptp.p6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.p5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.p4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.p3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_46 (forall ((X $$unsorted) (BOUND_VARIABLE_2395 $$unsorted) (BOUND_VARIABLE_2393 $$unsorted) (BOUND_VARIABLE_2391 $$unsorted) (BOUND_VARIABLE_2389 $$unsorted) (BOUND_VARIABLE_2383 $$unsorted) (BOUND_VARIABLE_2355 $$unsorted) (BOUND_VARIABLE_2353 $$unsorted) (BOUND_VARIABLE_2351 $$unsorted) (BOUND_VARIABLE_2349 $$unsorted) (BOUND_VARIABLE_2399 $$unsorted) (BOUND_VARIABLE_2347 $$unsorted) (BOUND_VARIABLE_2397 $$unsorted) (BOUND_VARIABLE_2345 $$unsorted)) (or (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2103 $$unsorted) (BOUND_VARIABLE_2101 $$unsorted) (BOUND_VARIABLE_2099 $$unsorted) (BOUND_VARIABLE_2097 $$unsorted) (BOUND_VARIABLE_2081 $$unsorted) (BOUND_VARIABLE_2079 $$unsorted) (BOUND_VARIABLE_2077 $$unsorted) (BOUND_VARIABLE_2075 $$unsorted) (BOUND_VARIABLE_2073 $$unsorted) (BOUND_VARIABLE_2083 $$unsorted) (BOUND_VARIABLE_2025 $$unsorted) (BOUND_VARIABLE_2085 $$unsorted) (BOUND_VARIABLE_2027 $$unsorted) (BOUND_VARIABLE_2087 $$unsorted) (BOUND_VARIABLE_2029 $$unsorted) (BOUND_VARIABLE_2089 $$unsorted) (BOUND_VARIABLE_2031 $$unsorted) (BOUND_VARIABLE_2091 $$unsorted) (BOUND_VARIABLE_2033 $$unsorted) (BOUND_VARIABLE_2093 $$unsorted) (BOUND_VARIABLE_2035 $$unsorted) (BOUND_VARIABLE_2061 $$unsorted) (BOUND_VARIABLE_2095 $$unsorted) (BOUND_VARIABLE_2037 $$unsorted) (BOUND_VARIABLE_2063 $$unsorted) (BOUND_VARIABLE_2065 $$unsorted) (BOUND_VARIABLE_2067 $$unsorted) (BOUND_VARIABLE_2069 $$unsorted) (BOUND_VARIABLE_2071 $$unsorted)) (let ((_let_1 (tptp.p1 BOUND_VARIABLE_2063))) (let ((_let_2 (tptp.p2 BOUND_VARIABLE_2063))) (let ((_let_3 (tptp.p2 BOUND_VARIABLE_2065))) (let ((_let_4 (tptp.p3 BOUND_VARIABLE_2065))) (let ((_let_5 (tptp.p3 BOUND_VARIABLE_2101))) (let ((_let_6 (tptp.p4 BOUND_VARIABLE_2101))) (let ((_let_7 (tptp.p4 BOUND_VARIABLE_2085))) (let ((_let_8 (tptp.p5 BOUND_VARIABLE_2085))) (let ((_let_9 (tptp.p5 BOUND_VARIABLE_2031))) (let ((_let_10 (tptp.p1 BOUND_VARIABLE_2031))) (or (not (tptp.r1 X Y)) (and (or (not (tptp.r1 Y BOUND_VARIABLE_2025)) (not (tptp.r1 BOUND_VARIABLE_2025 BOUND_VARIABLE_2037)) (not (tptp.r1 BOUND_VARIABLE_2037 BOUND_VARIABLE_2027)) (not (tptp.r1 BOUND_VARIABLE_2027 BOUND_VARIABLE_2035)) (not (tptp.r1 BOUND_VARIABLE_2035 BOUND_VARIABLE_2029)) (not (tptp.r1 BOUND_VARIABLE_2029 BOUND_VARIABLE_2033)) (not (tptp.r1 BOUND_VARIABLE_2033 BOUND_VARIABLE_2031)) (and (or _let_9 _let_10) (or (not _let_10) (not _let_9)))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p6 X)))) (or (not (tptp.r1 Y BOUND_VARIABLE_2061)) (and (or (not (tptp.r1 BOUND_VARIABLE_2061 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(let ((_let_51 (_let_43))) (let ((_let_52 (_let_2))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_52)) _let_53 :args (_let_10 false _let_2)))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_11 _let_41 (not _let_42)))) _let_54 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_51) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 0)) (CONG (REFL :args (_let_45)) (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))) :args _let_49)) :args ((or _let_43 _let_45))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_48) :args (_let_50))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_46))) (REFL :args (_let_47)) :args _let_49)) _let_48 :args (_let_47 true _let_46)) :args (_let_43 true _let_45)) :args (_let_42 false _let_43)) :args (_let_41 false _let_10 false _let_42)))) (let ((_let_56 (not _let_41))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_11 _let_35 (not _let_36)))) _let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_41 2)) :args ((or _let_36 _let_56))) _let_55 :args (_let_36 false _let_41)) :args (_let_35 false _let_10 false _let_36)))) (let ((_let_58 (not _let_35))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_11 _let_27 (not _let_28)))) _let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_35 2)) :args ((or _let_28 _let_58))) _let_57 :args (_let_28 false _let_35)) :args (_let_27 false _let_10 false _let_28)))) (let ((_let_60 (not _let_27))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_11 _let_19 (not _let_20)))) _let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_27 2)) :args ((or _let_20 _let_60))) _let_59 :args (_let_20 false _let_27)) :args (_let_19 false _let_10 false _let_20)))) (let ((_let_62 (not _let_19))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_12))) :args ((or _let_11 _let_9 (not _let_12)))) _let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_19 0)) :args ((or _let_12 _let_62))) _let_61 :args (_let_12 false _let_19)) :args (_let_9 false _let_10 false _let_12)))) (let ((_let_64 (not _let_9))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_18))) :args ((or _let_11 _let_17 (not _let_18)))) _let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_19 2)) :args ((or _let_18 _let_62))) _let_61 :args (_let_18 false _let_19)) :args (_let_17 false _let_10 false _let_18)))) (let ((_let_66 (not _let_17))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_40))) :args ((or _let_11 _let_39 (not _let_40)))) _let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_41 0)) :args ((or _let_40 _let_56))) _let_55 :args (_let_40 false _let_41)) :args (_let_39 false _let_10 false _let_40)))) (let ((_let_68 (not _let_39))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_34))) :args ((or _let_11 _let_33 (not _let_34)))) _let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_35 0)) :args ((or _let_34 _let_58))) _let_57 :args (_let_34 false _let_35)) :args (_let_33 false _let_10 false _let_34)))) (let ((_let_70 (not _let_33))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_26))) :args ((or _let_11 _let_25 (not _let_26)))) _let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_27 0)) :args ((or _let_26 _let_60))) _let_59 :args (_let_26 false _let_27)) :args (_let_25 false _let_10 false _let_26)))) (let ((_let_72 (not _let_25))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_8)) :args ((or _let_7 _let_6 (not _let_8)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_9 1)) :args ((or _let_8 _let_64))) _let_63 :args (_let_8 false _let_9)) (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_21 _let_3 (not _let_24)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_25 0)) :args ((or _let_24 _let_72))) _let_71 :args (_let_24 false _let_25)) (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_13 _let_4 (not _let_16)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_17 0)) :args ((or _let_16 _let_66))) _let_65 :args (_let_16 false _let_17)) (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_22 (not _let_31)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_33 1)) :args ((or _let_31 _let_70))) _let_69 :args (_let_31 false _let_33)) (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_14 _let_30 (not _let_37)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_39 1)) :args ((or _let_37 _let_68))) _let_67 :args (_let_37 false _let_39)) :args (_let_30 false _let_8 false _let_3 false _let_24 false _let_4 false _let_16 true _let_21 false _let_31 true _let_13 false _let_37)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_5)) :args ((or _let_3 _let_4 (not _let_5)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_22 _let_7 (not _let_23)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_29 _let_21 (not _let_32)))) _let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_33 0)) :args ((or _let_32 _let_70))) _let_69 :args (_let_32 false _let_33)) :args (_let_21 true _let_29 false _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_25 1)) :args ((or _let_23 _let_72))) _let_71 :args (_let_23 false _let_25)) :args (_let_7 false _let_21 false _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_14 _let_6 (not _let_15)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_29 _let_13 (not _let_38)))) _let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_39 0)) :args ((or _let_38 _let_68))) _let_67 :args (_let_38 false _let_39)) :args (_let_13 true _let_29 false _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_17 1)) :args ((or _let_15 _let_66))) _let_65 :args (_let_15 false _let_17)) :args (_let_6 false _let_13 false _let_15)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_9 0)) :args ((or _let_5 _let_64))) _let_63 :args (_let_5 false _let_9)) :args (false true _let_3 true _let_4 false _let_5)) :args (_let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.35/10.59  )
% 10.35/10.59  % SZS output end Proof for LCL668+1.001
% 10.35/10.59  % cvc5---1.0.5 exiting
% 10.35/10.60  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------