%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL652+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n011.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 07:02:46 EDT 2023

% Result   : Theorem 50.69s 50.91s
% Output   : Proof 50.69s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : LCL652+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n011.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
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri Aug 25 03:45:38 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.20/0.50  %----Proving TF0_NAR, FOF, or CNF
% 50.69/50.91  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.1dO3wYBY0Q/cvc5---1.0.5_31055.p...
% 50.69/50.91  ------- get file name : TPTP file name is LCL652+1.001
% 50.69/50.91  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_31055.smt2...
% 50.69/50.91  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 50.69/50.91  --- Run --no-e-matching --full-saturate-quant at 5...
% 50.69/50.91  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 50.69/50.91  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 50.69/50.91  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 50.69/50.91  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 50.69/50.91  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 50.69/50.91  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 50.69/50.91  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 50.69/50.91  % SZS status Theorem for LCL652+1.001
% 50.69/50.91  % SZS output start Proof for LCL652+1.001
% 50.69/50.91  (
% 50.69/50.91  (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 $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p1 X)))))))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p1 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 (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p3 Y))) (not (tptp.p2 X)))))))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y)))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p2 X))))))) (forall ((Y $$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)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p3 X))) (not (tptp.p2 Y))))))))))))))) (and (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p3 Y))) (not (tptp.p2 X)))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y))))))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$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)) (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 ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_295 Y)) (not (tptp.p2 Y)))))) (let ((_let_3 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_321))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_295 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_321))) (let ((_let_6 (not _let_5))) (let ((_let_7 (or _let_6 _let_4))) (let ((_let_8 (not _let_2))) (let ((_let_9 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_295))) (let ((_let_10 (not _let_9))) (let ((_let_11 (or _let_10 _let_8))) (let ((_let_12 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y))))))))) (let ((_let_13 (not _let_11))) (let ((_let_14 (not _let_12))) (let ((_let_15 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p3 Y))) (not (tptp.p2 X))))))))))) (let ((_let_16 (or _let_15 _let_14))) (let ((_let_17 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y))))))))) (let ((_let_18 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p3 Y))) (not (tptp.p2 X))))))))) (let ((_let_19 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_18))) (let ((_let_22 (not _let_17))) (let ((_let_23 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p3 Y))) (not (tptp.p2 X)))))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_24 _let_22))) (let ((_let_26 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_20 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 Y)) (tptp.p3 Y))) _let_27))) (let ((_let_29 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 Y)) (tptp.p2 Y))))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_20 _let_30))) (let ((_let_32 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_33 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_32))) (let ((_let_36 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p3 Y))) (not (tptp.p2 X)))))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_37))) (let ((_let_41 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 X)) (not (tptp.p2 X)))))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_39 _let_42))) (let ((_let_44 (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 X)) (tptp.p3 X)))) _let_32))) (let ((_let_45 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p2 X))))))))) (let ((_let_46 (or _let_34 _let_44))) (let ((_let_47 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 Y)) (not (forall ((X $$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)))))))))))) (let ((_let_48 (not _let_47))) (let ((_let_49 (not _let_45))) (let ((_let_50 (or _let_20 _let_49 _let_48))) (let ((_let_51 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 Y)) (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p3 X)))) (tptp.p2 Y)))))) (let ((_let_52 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_122 X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p3 X))) (not (tptp.p2 Y))))))))) (let ((_let_53 (not _let_52))) (let ((_let_54 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_122))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_55 _let_53))) (let ((_let_57 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 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)))))))))))) (let ((_let_58 (or _let_20 _let_51 _let_27 _let_57))) (let ((_let_59 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_122 X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y))))))))) (let ((_let_60 (not _let_59))) (let ((_let_61 (or _let_55 _let_60))) (let ((_let_62 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_162 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p3 X))) (not (tptp.p2 Y)))))) (let ((_let_63 (not _let_62))) (let ((_let_64 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_122 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_162))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_63))) (let ((_let_67 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_162 Y)) (not (tptp.p2 Y)))))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_65 _let_68))) (let ((_let_70 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_256))) (let ((_let_71 (not _let_70))) (let ((_let_72 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_162 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_256))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_73 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_256 X)) (tptp.p3 X))) _let_71))) (let ((_let_75 (or _let_73 _let_71))) (let ((_let_76 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p2 X)))))))) (not (forall ((Y $$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)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p3 X))) (not (tptp.p2 Y))))))))))))))) (let ((_let_77 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p3 X)))) (tptp.p2 Y)))) (not (tptp.p2 X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y)))))))))))))) (let ((_let_78 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 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))))))))) (let ((_let_79 (and _let_78 _let_77 _let_16 _let_76 _let_25))) (let ((_let_80 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_81 (not _let_80))) (let ((_let_82 (or _let_81 _let_79))) (let ((_let_83 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (and (forall ((X $$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))))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p3 X)))) (tptp.p2 Y)))) (not (tptp.p2 X)) (forall ((Y $$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)) (not (tptp.p2 Y)))))))))))) (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p3 Y))) (not (tptp.p2 X))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y))))))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p2 X)))))))) (not (forall ((Y $$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)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p3 X))) (not (tptp.p2 Y))))))))))))) (or (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p3 Y))) (not (tptp.p2 X))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y)))))))))))))) (let ((_let_84 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))))))))))) (let ((_let_85 (not _let_83))) (let ((_let_86 (or (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (not (tptp.p4 Y))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p1 X))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p1 Y))))))))))) _let_85 (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 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 $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 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 $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) _let_84 (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 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 $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p1 X))))))))))) (let ((_let_87 (forall ((X $$unsorted)) (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)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p1 X))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p1 Y))))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (and (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p3 X))) (not (tptp.p2 Y))))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p3 X)))) (tptp.p2 Y)))) (not (tptp.p2 X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y)))))))))))) (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p3 Y))) (not (tptp.p2 X))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y))))))))) (forall ((X $$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)) (not (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 $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p3 X))) (not (tptp.p2 Y))))))))))))) (or (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p3 Y))) (not (tptp.p2 X))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y))))))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (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 $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p1 X)))))))))))) (let ((_let_88 (not _let_86))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (or))) (let ((_let_91 (not _let_87))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_89) :args (_let_91))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_91) _let_87))) (REFL :args (_let_88)) :args _let_90)) _let_89 :args (_let_88 true _let_87)))) (let ((_let_93 (_let_83))) (let ((_let_94 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))))))) (let ((_let_95 (not _let_94))) (let ((_let_96 (or _let_81 _let_95))) (let ((_let_97 (not _let_96))) (let ((_let_98 (not _let_84))) (let ((_let_99 (_let_98))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_99)) :args _let_99)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_98) _let_84))) (REFL :args (_let_97)) :args _let_90)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_86 5)) _let_92 :args (_let_98 true _let_86)) :args (_let_97 true _let_84)))) (let ((_let_101 (REFL :args (_let_96)))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_81 _let_79 (not _let_82)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_96 0)) (CONG _let_101 (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_80))) :args _let_90)) :args ((or _let_80 _let_96))) _let_100 :args (_let_80 true _let_96)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_93) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y) false))))) :args _let_93)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_86 2)) (CONG (REFL :args (_let_86)) (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_83))) :args _let_90)) :args ((or _let_83 _let_86))) _let_92 :args (_let_83 true _let_86)) :args (_let_82 false _let_83)) :args (_let_79 false _let_80 false _let_82)))) (let ((_let_103 (not _let_79))) (let ((_let_104 (_let_15))) (let ((_let_105 (_let_24))) (let ((_let_106 (REFL :args (_let_28)))) (let ((_let_107 (_let_94))) (let ((_let_108 (_let_30))) (let ((_let_109 (_let_18))) (let ((_let_110 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109))) (let ((_let_111 (not _let_110))) (let ((_let_112 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109))) (let ((_let_113 (not _let_112))) (let ((_let_114 (or _let_113 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 Y)) (tptp.p3 Y))) _let_111))) (let ((_let_115 (or _let_113 _let_111))) (let ((_let_116 (not _let_40))) (let ((_let_117 (REFL :args (_let_43)))) (let ((_let_118 (_let_37))) (let ((_let_119 (REFL :args (_let_114)))) (let ((_let_120 (_let_41))) (let ((_let_121 (_let_49))) (let ((_let_122 (_let_76))) (let ((_let_123 (_let_51))) (let ((_let_124 (_let_48))) (let ((_let_125 (_let_77))) (let ((_let_126 (REFL :args (_let_56)))) (let ((_let_127 (_let_57))) (let ((_let_128 (_let_52))) (let ((_let_129 (_let_60))) (let ((_let_130 (REFL :args (_let_69)))) (let ((_let_131 (_let_63))) (let ((_let_132 (REFL :args (_let_74)))) (let ((_let_133 (_let_67))) (let ((_let_134 (_let_14))) (let ((_let_135 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_134)) :args _let_134)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_12))) (REFL :args (_let_13)) :args _let_90)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_133) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_256 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_133)) (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_73 _let_71 (not _let_75)))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_74 2)) (CONG _let_132 (MACRO_SR_PRED_INTRO :args ((= (not _let_71) _let_70))) :args _let_90)) :args ((or _let_70 _let_74))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_74 0)) (CONG _let_132 (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_72))) :args _let_90)) :args ((or _let_72 _let_74))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_131)) :args _let_131)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_62))) (REFL :args ((not _let_74))) :args _let_90)) (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_65 _let_63 (not _let_66)))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_69 1)) (CONG _let_130 (MACRO_SR_PRED_INTRO :args ((= (not _let_68) _let_67))) :args _let_90)) :args ((or _let_67 _let_69))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_69 0)) (CONG _let_130 (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_64))) :args _let_90)) :args ((or _let_64 _let_69))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_129)) :args _let_129)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_59))) (REFL :args ((not _let_69))) :args _let_90)) (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_55 _let_60 (not _let_61)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_128) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_162 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_122 X) false))))) :args _let_128)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_127) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_122 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 Y) false))))) :args _let_127)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_56 1)) (CONG _let_126 (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_52))) :args _let_90)) :args ((or _let_52 _let_56))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_56 0)) (CONG _let_126 (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_54))) :args _let_90)) :args ((or _let_54 _let_56))) (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_20 _let_27 _let_51 _let_57 (not _let_58)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_125) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 X) false))))) :args _let_125)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_79 1)) :args ((or _let_77 _let_103))) _let_102 :args (_let_77 false _let_79)) :args (_let_58 false _let_77)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_124)) :args _let_124)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_47))) (REFL :args ((not _let_56))) :args _let_90)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_123) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_123)) (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_20 _let_49 _let_48 (not _let_50)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_122) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 X) false))))) :args _let_122)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_79 3)) :args ((or _let_76 _let_103))) _let_102 :args (_let_76 false _let_79)) :args (_let_50 false _let_76)) (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_34 _let_44 (not _let_46)))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_121)) :args _let_121)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_45))) (REFL :args ((not _let_43))) :args _let_90)) (REORDERING (CNF_AND_POS :args (_let_44 1)) :args ((or _let_32 (not _let_44)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_120) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_120)) (REORDERING (CNF_OR_POS :args (_let_115)) :args ((or _let_113 _let_111 (not _let_115)))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_114 2)) (CONG _let_119 (MACRO_SR_PRED_INTRO :args ((= (not _let_111) _let_110))) :args _let_90)) :args ((or _let_110 _let_114))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_114 0)) (CONG _let_119 (MACRO_SR_PRED_INTRO :args ((= (not _let_113) _let_112))) :args _let_90)) :args ((or _let_112 _let_114))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_118)) :args _let_118)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_36))) (REFL :args ((not _let_114))) :args _let_90)) (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_39 _let_37 _let_116))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 1)) (CONG _let_117 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_90)) :args ((or _let_41 _let_43))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 0)) (CONG _let_117 (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_38))) :args _let_90)) :args ((or _let_38 _let_43))) :args ((or _let_43 _let_116) true _let_115 false _let_110 false _let_112 true _let_114 true _let_36 false _let_41 false _let_38)) (CNF_OR_NEG :args (_let_35 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 0)) (CONG (REFL :args (_let_35)) (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_90)) :args ((or _let_33 _let_35))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_109) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 Y) false))))) :args _let_109)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_108)) :args _let_108)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) (REFL :args ((not _let_35))) :args _let_90)) (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_20 _let_18 (not _let_21)))) (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_20 _let_30 (not _let_31)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_107) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 X) false))))) :args _let_107)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_96 1)) (CONG _let_101 (MACRO_SR_PRED_INTRO :args ((= (not _let_95) _let_94))) :args _let_90)) :args ((or _let_94 _let_96))) _let_100 :args (_let_94 true _let_96)) :args (_let_31 false _let_94)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 2)) (CONG _let_106 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) :args _let_90)) :args ((or _let_26 _let_28))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 0)) (CONG _let_106 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_90)) :args ((or _let_19 _let_28))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_105)) :args _let_105)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) (REFL :args ((not _let_28))) :args _let_90)) (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_24 _let_22 (not _let_25)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_79 4)) :args ((or _let_25 _let_103))) _let_102 :args (_let_25 false _let_79)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_104) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 X) false))))) :args _let_104)) (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_12 (= Y Y) (= X X)))) (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_15 _let_14 (not _let_16)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_79 2)) :args ((or _let_16 _let_103))) _let_102 :args (_let_16 false _let_79)) :args (_let_14 true _let_75 false _let_70 false _let_72 true _let_74 true _let_62 false _let_67 false _let_64 true _let_69 true _let_59 false _let_66 false _let_61 false _let_52 false _let_54 false _let_57 false _let_58 true _let_56 true _let_51 true _let_47 false _let_50 true _let_46 false _let_45 true _let_44 false _let_43 true _let_32 false _let_33 false _let_40 true _let_35 false _let_18 true _let_29 false _let_31 false _let_26 false _let_19 true _let_28 true _let_23 false _let_25 false _let_21 false _let_17 false _let_15 false _let_16)) :args (_let_13 true _let_12)))) (let ((_let_136 (REFL :args (_let_11)))) (let ((_let_137 (not _let_7))) (let ((_let_138 (or _let_6 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_321 X)) (tptp.p3 X))) _let_4))) (let ((_let_139 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_295 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p3 X))) (not (tptp.p2 Y)))))) (let ((_let_140 (not _let_138))) (let ((_let_141 (not _let_139))) (let ((_let_142 (or _let_10 _let_141))) (let ((_let_143 (_let_78))) (let ((_let_144 (_let_141))) (let ((_let_145 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_144)) :args _let_144)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_141) _let_139))) (REFL :args (_let_140)) :args _let_90)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_142)) :args ((or _let_10 _let_141 (not _let_142)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_11 0)) (CONG _let_136 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) :args _let_90)) :args ((or _let_9 _let_11))) _let_135 :args (_let_9 true _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_143) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_295 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 X) false))))) :args _let_143)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_79 0)) :args ((or _let_78 _let_103))) _let_102 :args (_let_78 false _let_79)) :args (_let_142 false _let_78)) :args (_let_141 false _let_9 false _let_142)) :args (_let_140 true _let_139)))) (let ((_let_146 (REFL :args (_let_138)))) (let ((_let_147 (_let_2))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_147) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_321 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_147)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_7)) :args ((or _let_6 _let_4 _let_137))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_138 0)) (CONG _let_146 (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))) :args _let_90)) :args ((or _let_5 _let_138))) _let_145 :args (_let_5 true _let_138)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_138 2)) (CONG _let_146 (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))) :args _let_90)) :args ((or _let_3 _let_138))) _let_145 :args (_let_3 true _let_138)) :args (_let_137 false _let_5 false _let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_11 1)) (CONG _let_136 (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_2))) :args _let_90)) :args ((or _let_2 _let_11))) _let_135 :args (_let_2 true _let_11)) :args (false true _let_7 false _let_2)) :args (_let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 50.69/50.95  )
% 50.69/50.95  % SZS output end Proof for LCL652+1.001
% 50.69/50.95  % cvc5---1.0.5 exiting
% 50.69/50.95  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------