%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL688+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n019.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 07:03:17 EDT 2023

% Result   : Theorem 211.84s 212.39s
% Output   : Proof 211.84s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : LCL688+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Thu Aug 24 21:22:29 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.19/0.46  %----Proving TF0_NAR, FOF, or CNF
% 211.84/212.39  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.cfP8tvyBF9/cvc5---1.0.5_25254.p...
% 211.84/212.39  ------- get file name : TPTP file name is LCL688+1.001
% 211.84/212.39  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_25254.smt2...
% 211.84/212.39  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 211.84/212.39  --- Run --no-e-matching --full-saturate-quant at 5...
% 211.84/212.39  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 211.84/212.39  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 211.84/212.39  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 211.84/212.39  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 211.84/212.39  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 211.84/212.39  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 211.84/212.39  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 211.84/212.39  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 211.84/212.39  --- Run --relevant-triggers --full-saturate-quant at 5...
% 211.84/212.39  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 211.84/212.39  --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 211.84/212.39  --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 211.84/212.39  --- Run --no-cbqi --full-saturate-quant at 10...
% 211.84/212.39  --- Run --macros-quant --macros-quant-mode=all --full-saturate-quant...
% 211.84/212.39  % SZS status Theorem for LCL688+1.001
% 211.84/212.39  % SZS output start Proof for LCL688+1.001
% 211.84/212.39  (
% 211.84/212.39  (let ((_let_1 (not (not (exists ((X $$unsorted)) (not (or (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p4 Y))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (or (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p3 X))) (not (tptp.p2 Y)))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p3 X))) (not (tptp.p2 Y))))))) (tptp.p2 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y))))))))))))))))))))) (and (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))) (tptp.p1 X))))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p1 Y)))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p1 X))))))))))))))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.r1 X Y) (tptp.r1 Y Z)) (tptp.r1 X Z))))) (let ((_let_3 (forall ((X $$unsorted)) (tptp.r1 X X)))) (let ((_let_4 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 X)) (tptp.p3 X))))) (let ((_let_5 (tptp.p3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_6 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_7 (not _let_6))) (let ((_let_8 (or _let_7 _let_5))) (let ((_let_9 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39))) (let ((_let_10 (not _let_9))) (let ((_let_11 (or _let_10 (tptp.p3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39)))) (let ((_let_12 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_13 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39))) (let ((_let_14 (not _let_12))) (let ((_let_15 (or _let_14 _let_10 _let_13))) (let ((_let_16 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_17 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39))) (let ((_let_18 (not _let_16))) (let ((_let_19 (or _let_18 _let_10 _let_17))) (let ((_let_20 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 Y)) (tptp.p2 Y))))) (let ((_let_21 (not _let_20))) (let ((_let_22 (not _let_13))) (let ((_let_23 (or _let_22 _let_21))) (let ((_let_24 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_193))) (let ((_let_25 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_193))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_24))) (let ((_let_28 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_193))) (let ((_let_29 (not _let_17))) (let ((_let_30 (or _let_29 _let_26 _let_28))) (let ((_let_31 (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_193 X)) (tptp.p3 X)))) _let_24))) (let ((_let_32 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_33 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_193))) (let ((_let_34 (not _let_28))) (let ((_let_35 (not _let_32))) (let ((_let_36 (or _let_35 _let_34 _let_33))) (let ((_let_37 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_38 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_39 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_193 X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y))))))))) (let ((_let_40 (not _let_39))) (let ((_let_41 (not _let_37))) (let ((_let_42 (not _let_38))) (let ((_let_43 (or _let_42 _let_41 _let_34 _let_31 _let_34 _let_40))) (let ((_let_44 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_193 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_541))) (let ((_let_45 (not _let_44))) (let ((_let_46 (forall ((Y $$unsorted) (BOUND_VARIABLE_821 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_541 Y)) (not (tptp.p2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_821)) (tptp.p3 BOUND_VARIABLE_821))))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_45 _let_47))) (let ((_let_49 (and _let_48 (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_193 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_193)) (not _let_24) _let_45 (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_541 X)) (tptp.p3 X)))) (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_541)) _let_45 (not (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_541 X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y)))))))))))) (let ((_let_50 (not _let_33))) (let ((_let_51 (or _let_50 _let_49))) (let ((_let_52 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_541 Y)) (not (tptp.p2 Y)))))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_45 _let_53))) (let ((_let_55 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_1466))) (let ((_let_56 (not _let_55))) (let ((_let_57 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_541 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_1466))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_56 (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_1466 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_1467)) (tptp.p3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_1467)))) (let ((_let_60 (or _let_58 _let_56))) (let ((_let_61 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_62 _let_18 _let_12))) (let ((_let_64 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.r1 Y Z)) (tptp.r1 X Z))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (_let_64))) (let ((_let_67 ((not (= (tptp.r1 X Y) false)) (not (= (tptp.r1 Y Z) false))))) (let ((_let_68 (or _let_62 _let_41 _let_18 _let_5))) (let ((_let_69 (forall ((Y $$unsorted) (BOUND_VARIABLE_821 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Y)) (not (tptp.p2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_821)) (tptp.p3 BOUND_VARIABLE_821))))) (let ((_let_70 (not _let_68))) (let ((_let_71 (not _let_69))) (let ((_let_72 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_73 _let_71))) (let ((_let_75 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_76 (not _let_75))) (let ((_let_77 (and _let_74 (or _let_76 (not (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) _let_73 (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X)) (tptp.p3 X)))) (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) _let_73 (not (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y)))))))))))) (let ((_let_78 (or _let_76 _let_77))) (let ((_let_79 (forall ((Y $$unsorted) (BOUND_VARIABLE_898 $$unsorted) (BOUND_VARIABLE_896 $$unsorted) (BOUND_VARIABLE_894 $$unsorted) (BOUND_VARIABLE_884 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (and (or (not (tptp.r1 Y BOUND_VARIABLE_884)) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_821 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_884 Y)) (not (tptp.p2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_821)) (tptp.p3 BOUND_VARIABLE_821))))) (or (not (tptp.r1 Y BOUND_VARIABLE_894)) (not (tptp.p2 BOUND_VARIABLE_894)) (not (tptp.r1 BOUND_VARIABLE_894 BOUND_VARIABLE_898)) (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_898 X)) (tptp.p3 X)))) (tptp.p2 BOUND_VARIABLE_898)) (not (tptp.r1 BOUND_VARIABLE_894 BOUND_VARIABLE_896)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_896 X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y)))))))))))))) (let ((_let_80 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))))))) (let ((_let_81 (not _let_80))) (let ((_let_82 (not _let_79))) (let ((_let_83 (or (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (not (tptp.p4 Y))))) _let_82 (and (not (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) (not (forall ((X $$unsorted) (BOUND_VARIABLE_930 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 X)) (not (tptp.p1 X)) (not (tptp.r1 X BOUND_VARIABLE_930)) (tptp.p1 BOUND_VARIABLE_930)))))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_982 $$unsorted) (BOUND_VARIABLE_980 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p1 X))))) (not (tptp.r1 Y BOUND_VARIABLE_980)) (not (tptp.r1 BOUND_VARIABLE_980 BOUND_VARIABLE_982)) (not (tptp.p1 BOUND_VARIABLE_982))))) (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_4)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y)) (tptp.p1 Y)))) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) _let_73 _let_81))) (let ((_let_84 (forall ((X $$unsorted) (BOUND_VARIABLE_1033 $$unsorted) (BOUND_VARIABLE_1018 $$unsorted) (BOUND_VARIABLE_1016 $$unsorted) (BOUND_VARIABLE_1014 $$unsorted) (BOUND_VARIABLE_1002 $$unsorted)) (or (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p4 Y))))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_898 $$unsorted) (BOUND_VARIABLE_896 $$unsorted) (BOUND_VARIABLE_894 $$unsorted) (BOUND_VARIABLE_884 $$unsorted)) (or (not (tptp.r1 X Y)) (and (or (not (tptp.r1 Y BOUND_VARIABLE_884)) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_821 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_884 Y)) (not (tptp.p2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_821)) (tptp.p3 BOUND_VARIABLE_821))))) (or (not (tptp.r1 Y BOUND_VARIABLE_894)) (not (tptp.p2 BOUND_VARIABLE_894)) (not (tptp.r1 BOUND_VARIABLE_894 BOUND_VARIABLE_898)) (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_898 X)) (tptp.p3 X)))) (tptp.p2 BOUND_VARIABLE_898)) (not (tptp.r1 BOUND_VARIABLE_894 BOUND_VARIABLE_896)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_896 X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y))))))))))))) (and (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))) (or (not (tptp.r1 X BOUND_VARIABLE_1002)) (tptp.p1 BOUND_VARIABLE_1002) (not (forall ((X $$unsorted) (BOUND_VARIABLE_930 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1002 X)) (not (tptp.p1 X)) (not (tptp.r1 X BOUND_VARIABLE_930)) (tptp.p1 BOUND_VARIABLE_930)))))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_982 $$unsorted) (BOUND_VARIABLE_980 $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p1 X))))) (not (tptp.r1 Y BOUND_VARIABLE_980)) (not (tptp.r1 BOUND_VARIABLE_980 BOUND_VARIABLE_982)) (not (tptp.p1 BOUND_VARIABLE_982))))) (not (tptp.r1 X BOUND_VARIABLE_1014)) (not (tptp.r1 BOUND_VARIABLE_1014 BOUND_VARIABLE_1018)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1018 Y)) (tptp.p1 Y)))) (not (tptp.r1 BOUND_VARIABLE_1014 BOUND_VARIABLE_1016)) (tptp.p1 BOUND_VARIABLE_1016) (not (tptp.r1 X BOUND_VARIABLE_1033)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1033 X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))))))))))) (let ((_let_85 (not _let_83))) (let ((_let_86 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_87 (or))) (let ((_let_88 (not _let_84))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_86) :args (_let_88))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_88) _let_84))) (REFL :args (_let_85)) :args _let_87)) _let_86 :args (_let_85 true _let_84)))) (let ((_let_90 (REFL :args (_let_83)))) (let ((_let_91 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_83 1)) (CONG _let_90 (MACRO_SR_PRED_INTRO :args ((= (not _let_82) _let_79))) :args _let_87)) :args ((or _let_79 _let_83))) _let_89 :args (_let_79 true _let_83)))) (let ((_let_92 (_let_79))) (let ((_let_93 ((tptp.r1 Y BOUND_VARIABLE_884) (tptp.r1 BOUND_VARIABLE_894 BOUND_VARIABLE_898) (tptp.r1 BOUND_VARIABLE_894 BOUND_VARIABLE_896)))) (let ((_let_94 (ASSUME :args _let_92))) (let ((_let_95 (_let_3))) (let ((_let_96 (ASSUME :args _let_95))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_83 9)) (CONG _let_90 (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_72))) :args _let_87)) :args ((or _let_72 _let_83))) _let_89 :args (_let_72 true _let_83)))) (let ((_let_98 (_let_71))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_98)) :args _let_98)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_71) _let_69))) (REFL :args (_let_70)) :args _let_87)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_73 _let_71 (not _let_74)))) _let_97 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_77 0)) :args ((or _let_74 (not _let_77)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_76 _let_77 (not _let_78)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 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(MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_61))) :args _let_87)) :args ((or _let_61 _let_68))) _let_99 :args (_let_61 true _let_68)))) (let ((_let_103 (_let_80))) (let ((_let_104 (_let_21))) (let ((_let_105 (or _let_73 _let_62 _let_32))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_73 _let_62 _let_32 (not _let_105)))) _let_97 _let_102 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING _let_67)) :args _let_66)) _let_65 :args (_let_105 false _let_64)) :args (_let_32 false _let_72 false _let_61 false _let_105)))) (let ((_let_107 (and (or _let_34 (not (forall ((Y $$unsorted) (BOUND_VARIABLE_821 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_193 Y)) (not (tptp.p2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_821)) (tptp.p3 BOUND_VARIABLE_821))))) _let_43))) (let ((_let_108 (or _let_35 _let_107))) (let ((_let_109 (_let_40))) (let ((_let_110 (REFL :args (_let_54)))) (let ((_let_111 (_let_47))) (let ((_let_112 (REFL :args (_let_59)))) (let ((_let_113 (_let_52))) (let ((_let_114 (not _let_4))) (let ((_let_115 (_let_114))) (let ((_let_116 (not _let_8))) (let ((_let_117 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_118 (_let_4))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_118) :args _let_117) :args _let_118)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_8)) :args ((or _let_5 _let_7 _let_116))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_68 3)) _let_99 :args ((not _let_5) true _let_68)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args _let_117) :args _let_95)) _let_96 :args (_let_6 false _let_3)) :args (_let_116 true _let_5 false _let_6)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_115)) :args _let_115)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_114) _let_4))) (REFL :args ((not _let_11))) :args _let_87)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_11 0)) (CONG (REFL :args (_let_11)) (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) :args _let_87)) :args ((or _let_9 _let_11))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_113) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_1466 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_113)) (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_58 _let_56 (not _let_60)))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_59 1)) (CONG _let_112 (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_55))) :args _let_87)) :args ((or _let_55 _let_59))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_59 0)) (CONG _let_112 (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_57))) :args _let_87)) :args ((or _let_57 _let_59))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_111)) :args _let_111)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_46))) (REFL :args ((not _let_59))) :args _let_87)) (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_45 _let_47 (not _let_48)))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_54 1)) (CONG _let_110 (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_52))) :args _let_87)) :args ((or _let_52 _let_54))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_54 0)) (CONG _let_110 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_44))) :args _let_87)) :args ((or _let_44 _let_54))) (REORDERING (CNF_AND_POS :args (_let_49 0)) :args ((or _let_48 (not _let_49)))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_109)) :args _let_109)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))) (REFL :args ((not _let_54))) :args _let_87)) (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_50 _let_49 (not _let_51)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_193 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_541 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_541 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_193 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_541 QUANTIFIERS_INST_E_MATCHING _let_93)) :args _let_92)) _let_91 :args (_let_51 false _let_79)) (REORDERING (FACTORING (CNF_OR_POS :args (_let_43))) :args ((or _let_41 _let_42 _let_31 _let_40 _let_34 (not _let_43)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_107 1)) :args ((or _let_43 (not _let_107)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_35 _let_107 (not _let_108)))) _let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_193 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_193 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_193 QUANTIFIERS_INST_E_MATCHING _let_93)) :args _let_92)) _let_91 :args (_let_108 false _let_79)) :args (_let_107 false _let_32 false _let_108)) :args (_let_43 false _let_107)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_95)) _let_96 :args (_let_38 false _let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_68 1)) (CONG _let_100 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_37))) :args _let_87)) :args ((or _let_37 _let_68))) _let_99 :args (_let_37 true _let_68)) (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_35 _let_34 _let_33 (not _let_36)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_193 QUANTIFIERS_INST_E_MATCHING _let_67)) :args _let_66)) _let_65 :args (_let_36 false _let_64)) _let_106 (REORDERING (CNF_AND_POS :args (_let_31 1)) :args ((or _let_24 (not _let_31)))) (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_29 _let_26 _let_28 (not _let_30)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_193 QUANTIFIERS_INST_E_MATCHING _let_67)) :args _let_66)) _let_65 :args (_let_30 false _let_64)) (CNF_OR_NEG :args (_let_27 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 0)) (CONG (REFL :args (_let_27)) (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_87)) :args ((or _let_25 _let_27))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_104)) :args _let_104)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) (REFL :args ((not _let_27))) :args _let_87)) (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_22 _let_21 (not _let_23)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_103) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X) false))))) :args _let_103)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_83 10)) (CONG _let_90 (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_80))) :args _let_87)) :args ((or _let_80 _let_83))) _let_89 :args (_let_80 true _let_83)) :args (_let_23 false _let_80)) (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_18 _let_10 _let_17 (not _let_19)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 QUANTIFIERS_INST_E_MATCHING _let_67)) :args _let_66)) _let_65 :args (_let_19 false _let_64)) _let_101 (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_14 _let_10 _let_13 (not _let_15)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 QUANTIFIERS_INST_E_MATCHING _let_67)) :args _let_66)) _let_65 :args (_let_15 false _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_62 _let_18 _let_12 (not _let_63)))) _let_102 _let_101 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING _let_67)) :args _let_66)) _let_65 :args (_let_63 false _let_64)) :args (_let_12 false _let_61 false _let_16 false _let_63)) :args (_let_10 true _let_60 false _let_55 false _let_57 true _let_59 true _let_46 false _let_52 false _let_44 false _let_48 true _let_54 false _let_49 false _let_51 true _let_39 false _let_43 false _let_38 false _let_37 false _let_33 false _let_36 false _let_32 true _let_31 false _let_28 false _let_30 true _let_24 false _let_25 true _let_27 true _let_20 false _let_23 false _let_17 false _let_19 false _let_16 false _let_13 false _let_15 false _let_12)) :args (_let_11 true _let_9)) :args (_let_4 false _let_11)) :args (false true _let_8 false _let_4)) :args (_let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 211.84/212.40  )
% 211.84/212.40  % SZS output end Proof for LCL688+1.001
% 211.84/212.40  % cvc5---1.0.5 exiting
% 211.84/212.40  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------