%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL676+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n032.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 07:03:06 EDT 2023

% Result   : Theorem 11.16s 11.38s
% Output   : Proof 11.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : LCL676+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11  % Command    : do_cvc5 %s %d
% 0.11/0.31  % Computer : n032.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Fri Aug 25 06:04:57 EDT 2023
% 0.11/0.31  % CPUTime    : 
% 0.15/0.40  %----Proving TF0_NAR, FOF, or CNF
% 11.16/11.38  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.BjDSIlwYL2/cvc5---1.0.5_15316.p...
% 11.16/11.38  ------- get file name : TPTP file name is LCL676+1.005
% 11.16/11.38  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_15316.smt2...
% 11.16/11.38  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 11.16/11.38  --- Run --no-e-matching --full-saturate-quant at 5...
% 11.16/11.38  % SZS status Theorem for LCL676+1.005
% 11.16/11.38  % SZS output start Proof for LCL676+1.005
% 11.16/11.38  (
% 11.16/11.38  (let ((_let_1 (not (not (exists ((X $$unsorted)) (let ((_let_1 (tptp.p1 X))) (let ((_let_2 (tptp.p2 X))) (let ((_let_3 (tptp.p3 X))) (not (or (and (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p5 Y))))))))) (or (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X)))))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p3 Y))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p3 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.p3 X)))))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p5 X)))))))) (or (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X)))))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X)))))))) (not (and (or (and (or (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X))))))))) (or _let_2 (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (and (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y))))))))) (or (tptp.p2 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (and (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y))))))))) (or (tptp.p2 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X))))))))) (not (and (or (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X))))))))) (or (tptp.p2 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y))))))))))))))) (or (tptp.p4 X) _let_3 _let_2 _let_1 (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) false)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) false)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) false)))) (not (or (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) false))))))))))) (or _let_3 _let_2 _let_1 (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) false)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) false)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) false)))) (not (or (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) false))))))))))) (or _let_2 _let_1 (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) false)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) false)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) false)))) (not (or (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) false))))))))))) (or _let_1 (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) false)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) false)) (not (forall ((X $$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)) false)))) (not (or (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) false))))))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y)))))))))))))))))))))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.r1 X Y) (tptp.r1 Y Z)) (tptp.r1 X Z))))) (let ((_let_3 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 X)) (not (tptp.p5 X)))))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_6 (not _let_5))) (let ((_let_7 (or _let_6 _let_4))) (let ((_let_8 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p5 X))))))))) (let ((_let_9 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_10 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_11 (not _let_10))) (let ((_let_12 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1390 $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_1390)) (tptp.p2 BOUND_VARIABLE_1390)))))))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_11 _let_9))) (let ((_let_15 (not _let_8))) (let ((_let_16 (and _let_15 _let_14))) (let ((_let_17 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1358 $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_1358)) (tptp.p2 BOUND_VARIABLE_1358)))))))) (let ((_let_18 (forall ((X $$unsorted) (BOUND_VARIABLE_1358 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50 X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_1358)) (tptp.p2 BOUND_VARIABLE_1358))))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50))) (let ((_let_21 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_20 _let_19))) (let ((_let_24 (forall ((X $$unsorted) (BOUND_VARIABLE_1358 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_71 X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_1358)) (tptp.p2 BOUND_VARIABLE_1358))))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_71))) (let ((_let_27 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_71))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_26 _let_25))) (let ((_let_30 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_31 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_32 (not _let_31))) (let ((_let_33 (not _let_17))) (let ((_let_34 (or _let_33 _let_32 _let_30))) (let ((_let_35 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 Y)) (not (tptp.p5 Y)))))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) _let_38 _let_36))) (let ((_let_42 (and _let_41 _let_34))) (let ((_let_43 (or _let_40 _let_38 _let_5))) (let ((_let_44 (_let_17))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 X)) (tptp.p2 X) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2008 $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_2008)) (tptp.p2 BOUND_VARIABLE_2008)))))))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_11 _let_9 _let_47))) (let ((_let_49 (forall ((Y $$unsorted) (BOUND_VARIABLE_2008 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50 Y)) (not (tptp.p2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_2008)) (tptp.p2 BOUND_VARIABLE_2008))))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_52 _let_20 _let_50))) (let ((_let_54 (or _let_11 _let_52 _let_21))) (let ((_let_55 (not _let_23))) (let ((_let_56 (or))) (let ((_let_57 (REFL :args (_let_14)))) (let ((_let_58 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2008 $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_2008)) (tptp.p2 BOUND_VARIABLE_2008))))))))))) (let ((_let_59 (not _let_58))) (let ((_let_60 (not (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_61 (not (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_62 (not (tptp.p3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_63 (or _let_42 (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p3 Y) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1375 $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p3 X)) (not (tptp.r1 X BOUND_VARIABLE_1375)) (tptp.p3 BOUND_VARIABLE_1375))))))) _let_16 (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1407 $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p1 X)) (not (tptp.r1 X BOUND_VARIABLE_1407)) (tptp.p1 BOUND_VARIABLE_1407))))))) (and (or (and (not (forall ((Y $$unsorted) (BOUND_VARIABLE_1438 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_1438)) (tptp.p2 BOUND_VARIABLE_1438) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_1422 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1438 Y)) (not (tptp.p2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_1422)) (tptp.p2 BOUND_VARIABLE_1422))))))) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)) (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1454 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_1454)) (tptp.p2 BOUND_VARIABLE_1454)))))) (and _let_61 (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)) (not (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18)) (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18)))) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16)) (and (or (not (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 X)) (tptp.p2 X) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_1516 $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_1516)) (tptp.p2 BOUND_VARIABLE_1516))))))) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)) (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1484 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_1484)) (tptp.p2 BOUND_VARIABLE_1484))))) (or (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1532 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_1532)) (tptp.p2 BOUND_VARIABLE_1532)))))) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1755 $$unsorted) (BOUND_VARIABLE_1753 $$unsorted) (BOUND_VARIABLE_1741 $$unsorted) (BOUND_VARIABLE_1712 $$unsorted) (BOUND_VARIABLE_1710 $$unsorted) (BOUND_VARIABLE_1708 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 X)) (and (not (forall ((Y $$unsorted) (BOUND_VARIABLE_1650 $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.r1 Y BOUND_VARIABLE_1650)) (tptp.p2 BOUND_VARIABLE_1650) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_1634 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1650 Y)) (not (tptp.p2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_1634)) (tptp.p2 BOUND_VARIABLE_1634))))))) (or (not (tptp.r1 X BOUND_VARIABLE_1741)) (tptp.p2 BOUND_VARIABLE_1741) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1666 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1741 X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_1666)) (tptp.p2 BOUND_VARIABLE_1666)))))) (and (not (tptp.p2 X)) (or (not (tptp.r1 X BOUND_VARIABLE_1753)) (not (tptp.p2 BOUND_VARIABLE_1753)) (not (tptp.r1 BOUND_VARIABLE_1753 BOUND_VARIABLE_1755)) (tptp.p2 BOUND_VARIABLE_1755))) (not (tptp.r1 X BOUND_VARIABLE_1708)) (and (or (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1708 X)) (tptp.p2 X) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_1578 $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_1578)) (tptp.p2 BOUND_VARIABLE_1578))))))) (not (tptp.r1 BOUND_VARIABLE_1708 BOUND_VARIABLE_1712)) (not (tptp.r1 BOUND_VARIABLE_1712 BOUND_VARIABLE_1710)) (tptp.p2 BOUND_VARIABLE_1710) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1546 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1710 X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_1546)) (tptp.p2 BOUND_VARIABLE_1546))))) (or (tptp.p2 BOUND_VARIABLE_1708) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1594 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1708 X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_1594)) (tptp.p2 BOUND_VARIABLE_1594))))))))))) (and (not (tptp.p4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) _let_62 _let_61 _let_60 (not (forall ((Y $$unsorted)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)))) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17)) (tptp.p4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17) (tptp.p3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17) (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17) (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1827 $$unsorted) (BOUND_VARIABLE_1825 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 X)) (and (not (tptp.p4 X)) (not (tptp.p3 X)) (not (tptp.p2 X)) (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))) (not (tptp.r1 X BOUND_VARIABLE_1825)) (tptp.p4 BOUND_VARIABLE_1825) (tptp.p3 BOUND_VARIABLE_1825) (tptp.p2 BOUND_VARIABLE_1825) (tptp.p1 BOUND_VARIABLE_1825) (not (tptp.r1 BOUND_VARIABLE_1825 BOUND_VARIABLE_1827))))))) (and _let_62 _let_61 _let_60 (not (forall ((Y $$unsorted)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)))) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15)) (tptp.p3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15) (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15) (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19)) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1881 $$unsorted) (BOUND_VARIABLE_1879 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 X)) (and (not (tptp.p3 X)) (not (tptp.p2 X)) (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))) (not (tptp.r1 X BOUND_VARIABLE_1879)) (tptp.p3 BOUND_VARIABLE_1879) (tptp.p2 BOUND_VARIABLE_1879) (tptp.p1 BOUND_VARIABLE_1879) (not (tptp.r1 BOUND_VARIABLE_1879 BOUND_VARIABLE_1881))))))) (and _let_61 _let_60 (not (forall ((Y $$unsorted)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)))) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)) (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9) (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1933 $$unsorted) (BOUND_VARIABLE_1931 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 X)) (and (not (tptp.p2 X)) (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))) (not (tptp.r1 X BOUND_VARIABLE_1931)) (tptp.p2 BOUND_VARIABLE_1931) (tptp.p1 BOUND_VARIABLE_1931) (not (tptp.r1 BOUND_VARIABLE_1931 BOUND_VARIABLE_1933))))))) (and _let_60 (not (forall ((Y $$unsorted)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)))) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1983 $$unsorted) (BOUND_VARIABLE_1981 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 X)) (and (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))) (not (tptp.r1 X BOUND_VARIABLE_1981)) (tptp.p1 BOUND_VARIABLE_1981) (not (tptp.r1 BOUND_VARIABLE_1981 BOUND_VARIABLE_1983))))))) _let_59 (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) (tptp.p3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13)) (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13)))) (let ((_let_64 (forall ((X $$unsorted) (BOUND_VARIABLE_2225 $$unsorted) (BOUND_VARIABLE_2223 $$unsorted) (BOUND_VARIABLE_2208 $$unsorted) (BOUND_VARIABLE_2063 $$unsorted) (BOUND_VARIABLE_2171 $$unsorted) (BOUND_VARIABLE_2084 $$unsorted) (BOUND_VARIABLE_2206 $$unsorted) (BOUND_VARIABLE_2061 $$unsorted) (BOUND_VARIABLE_2090 $$unsorted) (BOUND_VARIABLE_2116 $$unsorted) (BOUND_VARIABLE_2098 $$unsorted) (BOUND_VARIABLE_2104 $$unsorted) (BOUND_VARIABLE_2188 $$unsorted) (BOUND_VARIABLE_2130 $$unsorted) (BOUND_VARIABLE_2169 $$unsorted) (BOUND_VARIABLE_2118 $$unsorted) (BOUND_VARIABLE_2190 $$unsorted) (BOUND_VARIABLE_2132 $$unsorted) (BOUND_VARIABLE_2076 $$unsorted) (BOUND_VARIABLE_2134 $$unsorted)) (let ((_let_1 (not (tptp.p1 X)))) (let ((_let_2 (not (tptp.p2 X)))) (let ((_let_3 (not (tptp.p3 X)))) (or (and (or (not (tptp.r1 X BOUND_VARIABLE_2061)) (tptp.p1 BOUND_VARIABLE_2061) (not (tptp.r1 BOUND_VARIABLE_2061 BOUND_VARIABLE_2063)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_2063 Y)) (not (tptp.p5 Y)))))) (or (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1358 $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_1358)) (tptp.p2 BOUND_VARIABLE_1358))))))) (not (tptp.r1 X BOUND_VARIABLE_2076)) (tptp.p2 BOUND_VARIABLE_2076))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p3 Y) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1375 $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p3 X)) (not (tptp.r1 X BOUND_VARIABLE_1375)) (tptp.p3 BOUND_VARIABLE_1375))))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p5 X)))))))) (or (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1390 $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_1390)) (tptp.p2 BOUND_VARIABLE_1390))))))) (not (tptp.r1 X BOUND_VARIABLE_2090)) (tptp.p2 BOUND_VARIABLE_2090))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1407 $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p1 X)) (not (tptp.r1 X BOUND_VARIABLE_1407)) (tptp.p1 BOUND_VARIABLE_1407))))))) (and (or (and (not (forall ((Y $$unsorted) (BOUND_VARIABLE_1438 $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.r1 Y BOUND_VARIABLE_1438)) (tptp.p2 BOUND_VARIABLE_1438) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_1422 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1438 Y)) (not (tptp.p2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_1422)) (tptp.p2 BOUND_VARIABLE_1422))))))) (or (not (tptp.r1 X BOUND_VARIABLE_2104)) (tptp.p2 BOUND_VARIABLE_2104) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1454 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_2104 X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_1454)) (tptp.p2 BOUND_VARIABLE_1454)))))) (and _let_2 (or (not (tptp.r1 X BOUND_VARIABLE_2116)) (not (tptp.p2 BOUND_VARIABLE_2116)) (not (tptp.r1 BOUND_VARIABLE_2116 BOUND_VARIABLE_2118)) (tptp.p2 BOUND_VARIABLE_2118)))) (or (not (tptp.r1 X BOUND_VARIABLE_2130)) (and (or (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_2130 X)) (tptp.p2 X) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_1516 $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_1516)) (tptp.p2 BOUND_VARIABLE_1516))))))) (not (tptp.r1 BOUND_VARIABLE_2130 BOUND_VARIABLE_2134)) (not (tptp.r1 BOUND_VARIABLE_2134 BOUND_VARIABLE_2132)) (tptp.p2 BOUND_VARIABLE_2132) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1484 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_2132 X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_1484)) (tptp.p2 BOUND_VARIABLE_1484))))) (or (tptp.p2 BOUND_VARIABLE_2130) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1532 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_2130 X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_1532)) (tptp.p2 BOUND_VARIABLE_1532)))))) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1755 $$unsorted) (BOUND_VARIABLE_1753 $$unsorted) (BOUND_VARIABLE_1741 $$unsorted) (BOUND_VARIABLE_1712 $$unsorted) (BOUND_VARIABLE_1710 $$unsorted) (BOUND_VARIABLE_1708 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_2130 X)) (and (not (forall ((Y $$unsorted) (BOUND_VARIABLE_1650 $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.r1 Y BOUND_VARIABLE_1650)) (tptp.p2 BOUND_VARIABLE_1650) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_1634 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1650 Y)) (not (tptp.p2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_1634)) (tptp.p2 BOUND_VARIABLE_1634))))))) (or (not (tptp.r1 X BOUND_VARIABLE_1741)) (tptp.p2 BOUND_VARIABLE_1741) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1666 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1741 X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_1666)) (tptp.p2 BOUND_VARIABLE_1666)))))) (and (not (tptp.p2 X)) (or (not (tptp.r1 X BOUND_VARIABLE_1753)) (not (tptp.p2 BOUND_VARIABLE_1753)) (not (tptp.r1 BOUND_VARIABLE_1753 BOUND_VARIABLE_1755)) (tptp.p2 BOUND_VARIABLE_1755))) (not (tptp.r1 X BOUND_VARIABLE_1708)) (and (or (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1708 X)) (tptp.p2 X) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_1578 $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_1578)) (tptp.p2 BOUND_VARIABLE_1578))))))) (not (tptp.r1 BOUND_VARIABLE_1708 BOUND_VARIABLE_1712)) (not (tptp.r1 BOUND_VARIABLE_1712 BOUND_VARIABLE_1710)) (tptp.p2 BOUND_VARIABLE_1710) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1546 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1710 X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_1546)) (tptp.p2 BOUND_VARIABLE_1546))))) (or (tptp.p2 BOUND_VARIABLE_1708) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1594 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1708 X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_1594)) (tptp.p2 BOUND_VARIABLE_1594))))))))))) (and (not (tptp.p4 X)) _let_3 _let_2 _let_1 (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y)))) (or (not (tptp.r1 X BOUND_VARIABLE_2169)) (tptp.p4 BOUND_VARIABLE_2169) (tptp.p3 BOUND_VARIABLE_2169) (tptp.p2 BOUND_VARIABLE_2169) (tptp.p1 BOUND_VARIABLE_2169) (not (tptp.r1 BOUND_VARIABLE_2169 BOUND_VARIABLE_2171)) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1827 $$unsorted) (BOUND_VARIABLE_1825 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_2169 X)) (and (not (tptp.p4 X)) (not (tptp.p3 X)) (not (tptp.p2 X)) (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))) (not (tptp.r1 X BOUND_VARIABLE_1825)) (tptp.p4 BOUND_VARIABLE_1825) (tptp.p3 BOUND_VARIABLE_1825) (tptp.p2 BOUND_VARIABLE_1825) (tptp.p1 BOUND_VARIABLE_1825) (not (tptp.r1 BOUND_VARIABLE_1825 BOUND_VARIABLE_1827))))))) (and _let_3 _let_2 _let_1 (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y)))) (or (not (tptp.r1 X BOUND_VARIABLE_2188)) (tptp.p3 BOUND_VARIABLE_2188) (tptp.p2 BOUND_VARIABLE_2188) (tptp.p1 BOUND_VARIABLE_2188) (not (tptp.r1 BOUND_VARIABLE_2188 BOUND_VARIABLE_2190)) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1881 $$unsorted) (BOUND_VARIABLE_1879 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_2188 X)) (and (not (tptp.p3 X)) (not (tptp.p2 X)) (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))) (not (tptp.r1 X BOUND_VARIABLE_1879)) (tptp.p3 BOUND_VARIABLE_1879) (tptp.p2 BOUND_VARIABLE_1879) (tptp.p1 BOUND_VARIABLE_1879) (not (tptp.r1 BOUND_VARIABLE_1879 BOUND_VARIABLE_1881))))))) (and _let_2 _let_1 (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y)))) (or (not (tptp.r1 X BOUND_VARIABLE_2206)) (tptp.p2 BOUND_VARIABLE_2206) (tptp.p1 BOUND_VARIABLE_2206) (not (tptp.r1 BOUND_VARIABLE_2206 BOUND_VARIABLE_2208)) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1933 $$unsorted) (BOUND_VARIABLE_1931 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_2206 X)) (and (not (tptp.p2 X)) (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))) (not (tptp.r1 X BOUND_VARIABLE_1931)) (tptp.p2 BOUND_VARIABLE_1931) (tptp.p1 BOUND_VARIABLE_1931) (not (tptp.r1 BOUND_VARIABLE_1931 BOUND_VARIABLE_1933))))))) (and _let_1 (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y)))) (or (not (tptp.r1 X BOUND_VARIABLE_2223)) (tptp.p1 BOUND_VARIABLE_2223) (not (tptp.r1 BOUND_VARIABLE_2223 BOUND_VARIABLE_2225)) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1983 $$unsorted) (BOUND_VARIABLE_1981 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_2223 X)) (and (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))) (not (tptp.r1 X BOUND_VARIABLE_1981)) (tptp.p1 BOUND_VARIABLE_1981) (not (tptp.r1 BOUND_VARIABLE_1981 BOUND_VARIABLE_1983))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2008 $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_2008)) (tptp.p2 BOUND_VARIABLE_2008)))))))))) (not (tptp.r1 X BOUND_VARIABLE_2084)) (tptp.p3 BOUND_VARIABLE_2084) (not (tptp.r1 X BOUND_VARIABLE_2098)) (tptp.p1 BOUND_VARIABLE_2098)))))))) (let ((_let_65 (not _let_63))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_67 (not _let_64))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_66) :args (_let_67))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_67) _let_64))) (REFL :args (_let_65)) :args _let_56)) _let_66 :args (_let_65 true _let_64)))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_63 9)) (CONG (REFL :args (_let_63)) (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_58))) :args _let_56)) :args ((or _let_58 _let_63))) _let_68 :args (_let_58 true _let_63)))) (let ((_let_70 (_let_58))) (let ((_let_71 (ASSUME :args _let_70))) (let ((_let_72 (_let_47))) (let ((_let_73 (REFL :args (_let_53)))) (let ((_let_74 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.r1 Y Z)) (tptp.r1 X Z))))) (let ((_let_75 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_76 (_let_74))) (let ((_let_77 (= BOUND_VARIABLE_2008 BOUND_VARIABLE_1358))) (let ((_let_78 (= Y X))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_63 2)) _let_68 :args ((not _let_16) true _let_63)))) (let ((_let_80 (not _let_14))) (let ((_let_81 (_let_16))) (let ((_let_82 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_81) (CONG (REFL :args _let_81) (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_8))) (REFL :args (_let_80)) :args _let_56)) :args ((or _let_8 _let_16 _let_80))))) (let ((_let_83 (_let_8))) (let ((_let_84 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_83) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_ENUM)) :args _let_83)))) (let ((_let_85 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 X)) (tptp.p2 X) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2008 $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_2008)) (tptp.p2 BOUND_VARIABLE_2008)))))))) (let ((_let_86 (not _let_85))) (let ((_let_87 (or _let_32 _let_30 _let_86))) (let ((_let_88 (forall ((Y $$unsorted) (BOUND_VARIABLE_2008 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_71 Y)) (not (tptp.p2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_2008)) (tptp.p2 BOUND_VARIABLE_2008))))) (let ((_let_89 (not _let_88))) (let ((_let_90 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_71))) (let ((_let_91 (not _let_90))) (let ((_let_92 (or _let_91 _let_26 _let_89))) (let ((_let_93 (or _let_32 _let_91 _let_27))) (let ((_let_94 (not _let_29))) (let ((_let_95 (REFL :args (_let_34)))) (let ((_let_96 (_let_86))) (let ((_let_97 (REFL :args (_let_92)))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_63 0)) _let_68 :args ((not _let_42) true _let_63)))) (let ((_let_99 (CNF_AND_NEG :args (_let_42)))) (let ((_let_100 (REFL :args (_let_41)))) (let ((_let_101 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_41 0)) (CONG _let_100 (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))) :args _let_56)) :args ((or _let_39 _let_41))))) (let ((_let_102 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_41 2)) (CONG _let_100 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_56)) :args ((or _let_37 _let_41))))) (let ((_let_103 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_41 3)) (CONG _let_100 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_56)) :args ((or _let_35 _let_41))))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_76)) _let_75 :args (_let_43 false _let_74)))) (let ((_let_105 (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_40 _let_38 _let_5 (not _let_43)))))) (let ((_let_106 (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_35 (= Y X)))))) (let ((_let_107 (REORDERING (CNF_OR_POS :args (_let_7)) :args ((or _let_6 _let_4 (not _let_7)))))) (let ((_let_108 (MACRO_RESOLUTION_TRUST _let_107 _let_106 _let_105 _let_104 _let_103 _let_102 _let_101 _let_99 _let_98 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_26 _let_28 _let_25 _let_94))) (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_88 _let_78 _let_77))) (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_32 _let_91 _let_27 (not _let_93)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_71 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_76)) _let_75 :args (_let_93 false _let_74)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_92 2)) (CONG _let_97 (MACRO_SR_PRED_INTRO :args ((= (not _let_89) _let_88))) :args _let_56)) :args ((or _let_88 _let_92))) (CNF_OR_NEG :args (_let_92 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_92 0)) (CONG _let_97 (MACRO_SR_PRED_INTRO :args ((= (not _let_91) _let_90))) :args _let_56)) :args ((or _let_90 _let_92))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_96)) :args _let_96)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_86) _let_85))) (REFL :args ((not _let_92))) :args _let_56)) (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_32 _let_30 _let_86 (not _let_87)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_ENUM)) :args _let_70)) _let_69 :args (_let_87 false _let_58)) (CNF_OR_NEG :args (_let_34 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 1)) (CONG _let_95 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_56)) :args ((or _let_31 _let_34))) :args ((or _let_34 _let_94) false _let_24 false _let_27 false _let_93 false _let_88 true _let_26 false _let_90 true _let_92 true _let_85 false _let_87 true _let_30 false _let_31)) _let_84 _let_82 _let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_20 _let_22 _let_19 _let_55))) (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_49 _let_78 _let_77))) (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_11 _let_52 _let_21 (not _let_54)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_76)) _let_75 :args (_let_54 false _let_74)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 2)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_49))) :args _let_56)) :args ((or _let_49 _let_53))) (CNF_OR_NEG :args (_let_53 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 0)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_51))) :args _let_56)) :args ((or _let_51 _let_53))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_72)) :args _let_72)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_46))) (REFL :args ((not _let_53))) :args _let_56)) (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_11 _let_9 _let_47 (not _let_48)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_ENUM)) :args _let_70)) _let_69 :args (_let_48 false _let_58)) (CNF_OR_NEG :args (_let_14 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 1)) (CONG _let_57 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_56)) :args ((or _let_10 _let_14))) :args ((or _let_14 _let_55) false _let_18 false _let_21 false _let_54 false _let_49 true _let_20 false _let_51 true _let_53 true _let_46 false _let_48 true _let_9 false _let_10)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_71 QUANTIFIERS_INST_ENUM)) :args _let_44)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50 QUANTIFIERS_INST_ENUM)) :args _let_44)) :args (_let_33 false _let_3 false _let_5 false _let_43 false _let_35 false _let_37 false _let_39 true _let_41 true _let_42 false _let_34 false _let_7 false _let_8 true _let_16 false _let_14 false _let_29 false _let_23)))) (let ((_let_109 (MACRO_RESOLUTION_TRUST _let_99 _let_98 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 0)) (CONG _let_95 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_17))) :args _let_56)) :args ((or _let_17 _let_34))) _let_108 :args (_let_34 true _let_17)) :args ((not _let_41) true _let_42 false _let_34)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_107 (MACRO_RESOLUTION_TRUST _let_106 (MACRO_RESOLUTION_TRUST _let_103 _let_109 :args (_let_35 true _let_41)) :args (_let_3 false _let_35)) (MACRO_RESOLUTION_TRUST _let_105 (MACRO_RESOLUTION_TRUST _let_101 _let_109 :args (_let_39 true _let_41)) (MACRO_RESOLUTION_TRUST _let_102 _let_109 :args (_let_37 true _let_41)) _let_104 :args (_let_5 false _let_39 false _let_37 false _let_43)) (MACRO_RESOLUTION_TRUST _let_84 (MACRO_RESOLUTION_TRUST _let_82 _let_79 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 0)) (CONG _let_57 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_56)) :args ((or _let_12 _let_14))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_17 (= Y Y) (= X X) (= BOUND_VARIABLE_1358 BOUND_VARIABLE_1390)))) _let_108 :args (_let_13 true _let_17)) :args (_let_14 true _let_12)) :args (_let_8 true _let_16 false _let_14)) :args (_let_7 false _let_8)) :args (false false _let_3 false _let_5 false _let_7)) :args ((forall ((X $$unsorted)) (tptp.r1 X X)) _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 11.16/11.38  )
% 11.16/11.38  % SZS output end Proof for LCL676+1.005
% 11.16/11.38  % cvc5---1.0.5 exiting
% 11.16/11.38  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------