TSTP Solution File: LCL676+1.010 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL676+1.010 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n028.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 13.35s 13.66s
% Output   : Proof 13.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : LCL676+1.010 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n028.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Thu Aug 24 23:04:05 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 13.35/13.66  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.HZfMZKuolG/cvc5---1.0.5_13110.p...
% 13.35/13.66  ------- get file name : TPTP file name is LCL676+1.010
% 13.35/13.66  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_13110.smt2...
% 13.35/13.66  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 13.35/13.66  --- Run --no-e-matching --full-saturate-quant at 5...
% 13.35/13.66  % SZS status Theorem for LCL676+1.010
% 13.35/13.66  % SZS output start Proof for LCL676+1.010
% 13.35/13.66  (
% 13.35/13.66  (let ((_let_1 (not (not (exists ((X $$unsorted)) (let ((_let_1 (tptp.p1 X))) (let ((_let_2 (tptp.p2 X))) (let ((_let_3 (tptp.p3 X))) (let ((_let_4 (tptp.p4 X))) (not (or (and (forall ((Y $$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 $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y))))))))))))))) (or _let_1 (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$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)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 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 (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) false)))))))) (not (or (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) false))))))))))))))) (or _let_4 _let_3 _let_2 _let_1 (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 ((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)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) false)))) (not (forall ((X $$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)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) false)))))) (not (or (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) false))))))))))))) (or _let_3 _let_2 _let_1 (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) false)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) 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 $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) false)))))) (not (or (tptp.p3 X) (tptp.p2 X) (tptp.p1 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))))))))))))) (or _let_2 _let_1 (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 ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) false)))) (not (forall ((X $$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)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) false)))))) (not (or (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) false))))))))))))) (or _let_1 (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) false)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) 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 $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) false)))))) (not (or (tptp.p1 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))))))))))))) (or _let_4 _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_22 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_22))) (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_18))) (let ((_let_10 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (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_1898 $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_1898)) (tptp.p2 BOUND_VARIABLE_1898)))))))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_11 _let_9))) (let ((_let_15 (not _let_8))) (let ((_let_16 (and _let_15 _let_14))) (let ((_let_17 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1866 $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_1866)) (tptp.p2 BOUND_VARIABLE_1866)))))))) (let ((_let_18 (forall ((X $$unsorted) (BOUND_VARIABLE_1866 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_79 X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_1866)) (tptp.p2 BOUND_VARIABLE_1866))))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_79))) (let ((_let_21 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_79))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_20 _let_19))) (let ((_let_24 (forall ((X $$unsorted) (BOUND_VARIABLE_1866 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_114 X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_1866)) (tptp.p2 BOUND_VARIABLE_1866))))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_114))) (let ((_let_27 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_114))) (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_9))) (let ((_let_31 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (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 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 Y)) (not (tptp.p5 Y)))))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19) _let_38 _let_36))) (let ((_let_42 (and _let_41 _let_34))) (let ((_let_43 (or _let_40 _let_38 _let_5))) (let ((_let_44 (_let_17))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 X)) (tptp.p2 X) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_3207 $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_3207)) (tptp.p2 BOUND_VARIABLE_3207)))))))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_11 _let_9 _let_47))) (let ((_let_49 (forall ((Y $$unsorted) (BOUND_VARIABLE_3207 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_79 Y)) (not (tptp.p2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_3207)) (tptp.p2 BOUND_VARIABLE_3207))))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_79))) (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 $$unsorted) (BOUND_VARIABLE_3207 $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_3207)) (tptp.p2 BOUND_VARIABLE_3207))))))))))) (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 (not (tptp.p4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_64 (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_1883 $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p3 X)) (not (tptp.r1 X BOUND_VARIABLE_1883)) (tptp.p3 BOUND_VARIABLE_1883))))))) _let_16 (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1915 $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p1 X)) (not (tptp.r1 X BOUND_VARIABLE_1915)) (tptp.p1 BOUND_VARIABLE_1915))))))) (and (or (and (not (forall ((Y $$unsorted) (BOUND_VARIABLE_1946 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_1946)) (tptp.p2 BOUND_VARIABLE_1946) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_1930 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1946 Y)) (not (tptp.p2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_1930)) (tptp.p2 BOUND_VARIABLE_1930))))))) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36)) (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1962 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_1962)) (tptp.p2 BOUND_VARIABLE_1962)))))) (and _let_61 (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25)) (not (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)) (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)))) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15)) (and (or (not (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 X)) (tptp.p2 X) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2024 $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_2024)) (tptp.p2 BOUND_VARIABLE_2024))))))) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1992 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_1992)) (tptp.p2 BOUND_VARIABLE_1992))))) (or (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15) (not (forall ((X $$unsorted) (BOUND_VARIABLE_2040 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_2040)) (tptp.p2 BOUND_VARIABLE_2040)))))) (not (forall ((X $$unsorted) (BOUND_VARIABLE_2263 $$unsorted) (BOUND_VARIABLE_2261 $$unsorted) (BOUND_VARIABLE_2249 $$unsorted) (BOUND_VARIABLE_2220 $$unsorted) (BOUND_VARIABLE_2218 $$unsorted) (BOUND_VARIABLE_2216 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 X)) (and (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2158 $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.r1 Y BOUND_VARIABLE_2158)) (tptp.p2 BOUND_VARIABLE_2158) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2142 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_2158 Y)) (not (tptp.p2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_2142)) (tptp.p2 BOUND_VARIABLE_2142))))))) (or (not (tptp.r1 X BOUND_VARIABLE_2249)) (tptp.p2 BOUND_VARIABLE_2249) (not (forall ((X $$unsorted) (BOUND_VARIABLE_2174 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_2249 X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_2174)) (tptp.p2 BOUND_VARIABLE_2174)))))) (and (not (tptp.p2 X)) (or (not (tptp.r1 X BOUND_VARIABLE_2261)) (not (tptp.p2 BOUND_VARIABLE_2261)) (not (tptp.r1 BOUND_VARIABLE_2261 BOUND_VARIABLE_2263)) (tptp.p2 BOUND_VARIABLE_2263))) (not (tptp.r1 X BOUND_VARIABLE_2216)) (and (or (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_2216 X)) (tptp.p2 X) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2086 $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_2086)) (tptp.p2 BOUND_VARIABLE_2086))))))) (not (tptp.r1 BOUND_VARIABLE_2216 BOUND_VARIABLE_2220)) (not (tptp.r1 BOUND_VARIABLE_2220 BOUND_VARIABLE_2218)) (tptp.p2 BOUND_VARIABLE_2218) (not (forall ((X $$unsorted) (BOUND_VARIABLE_2054 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_2218 X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_2054)) (tptp.p2 BOUND_VARIABLE_2054))))) (or (tptp.p2 BOUND_VARIABLE_2216) (not (forall ((X $$unsorted) (BOUND_VARIABLE_2102 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_2216 X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_2102)) (tptp.p2 BOUND_VARIABLE_2102))))))))))) (and _let_60 (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2322 $$unsorted) (BOUND_VARIABLE_2320 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (not (tptp.r1 Y BOUND_VARIABLE_2320)) (tptp.p4 BOUND_VARIABLE_2320) (tptp.p3 BOUND_VARIABLE_2320) (tptp.p2 BOUND_VARIABLE_2320) (tptp.p1 BOUND_VARIABLE_2320) (not (tptp.r1 BOUND_VARIABLE_2320 BOUND_VARIABLE_2322))))) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30)) (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30) (not (forall ((X $$unsorted) (BOUND_VARIABLE_2471 $$unsorted) (BOUND_VARIABLE_2469 $$unsorted) (BOUND_VARIABLE_2467 $$unsorted) (BOUND_VARIABLE_2465 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 X)) (and (not (tptp.p1 X)) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2440 $$unsorted) (BOUND_VARIABLE_2438 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (not (tptp.r1 Y BOUND_VARIABLE_2438)) (tptp.p4 BOUND_VARIABLE_2438) (tptp.p3 BOUND_VARIABLE_2438) (tptp.p2 BOUND_VARIABLE_2438) (tptp.p1 BOUND_VARIABLE_2438) (not (tptp.r1 BOUND_VARIABLE_2438 BOUND_VARIABLE_2440)))))) (not (tptp.r1 X BOUND_VARIABLE_2465)) (tptp.p1 BOUND_VARIABLE_2465) (not (tptp.r1 BOUND_VARIABLE_2465 BOUND_VARIABLE_2471)) (tptp.p4 BOUND_VARIABLE_2471) (tptp.p3 BOUND_VARIABLE_2471) (tptp.p2 BOUND_VARIABLE_2471) (tptp.p1 BOUND_VARIABLE_2471) (not (tptp.r1 BOUND_VARIABLE_2471 BOUND_VARIABLE_2467)) (tptp.p4 BOUND_VARIABLE_2467) (tptp.p3 BOUND_VARIABLE_2467) (tptp.p2 BOUND_VARIABLE_2467) (tptp.p1 BOUND_VARIABLE_2467) (not (tptp.r1 BOUND_VARIABLE_2467 BOUND_VARIABLE_2469))))) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26)) (tptp.p4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26) (tptp.p3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26) (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26) (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28)) (tptp.p4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28) (tptp.p3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28) (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28) (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24)))) (and _let_63 _let_62 _let_61 _let_60 (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2530 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (not (tptp.r1 Y BOUND_VARIABLE_2530))))) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27)) (tptp.p4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27) (tptp.p3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27) (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27) (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27) (not (forall ((X $$unsorted) (BOUND_VARIABLE_2603 $$unsorted) (BOUND_VARIABLE_2601 $$unsorted) (BOUND_VARIABLE_2599 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 X)) (and (not (tptp.p4 X)) (not (tptp.p3 X)) (not (tptp.p2 X)) (not (tptp.p1 X)) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2580 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (not (tptp.r1 Y BOUND_VARIABLE_2580)))))) (not (tptp.r1 X BOUND_VARIABLE_2599)) (tptp.p4 BOUND_VARIABLE_2599) (tptp.p3 BOUND_VARIABLE_2599) (tptp.p2 BOUND_VARIABLE_2599) (tptp.p1 BOUND_VARIABLE_2599) (not (tptp.r1 BOUND_VARIABLE_2599 BOUND_VARIABLE_2603)) (tptp.p4 BOUND_VARIABLE_2603) (tptp.p3 BOUND_VARIABLE_2603) (tptp.p2 BOUND_VARIABLE_2603) (tptp.p1 BOUND_VARIABLE_2603) (not (tptp.r1 BOUND_VARIABLE_2603 BOUND_VARIABLE_2601))))) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13)) (tptp.p4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13) (tptp.p3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13) (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13) (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17)))) (and _let_62 _let_61 _let_60 (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2651 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (not (tptp.r1 Y BOUND_VARIABLE_2651))))) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31)) (tptp.p3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31) (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31) (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31) (not (forall ((X $$unsorted) (BOUND_VARIABLE_2723 $$unsorted) (BOUND_VARIABLE_2721 $$unsorted) (BOUND_VARIABLE_2719 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 X)) (and (not (tptp.p3 X)) (not (tptp.p2 X)) (not (tptp.p1 X)) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2701 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (not (tptp.r1 Y BOUND_VARIABLE_2701)))))) (not (tptp.r1 X BOUND_VARIABLE_2719)) (tptp.p3 BOUND_VARIABLE_2719) (tptp.p2 BOUND_VARIABLE_2719) (tptp.p1 BOUND_VARIABLE_2719) (not (tptp.r1 BOUND_VARIABLE_2719 BOUND_VARIABLE_2723)) (tptp.p4 BOUND_VARIABLE_2723) (tptp.p3 BOUND_VARIABLE_2723) (tptp.p2 BOUND_VARIABLE_2723) (tptp.p1 BOUND_VARIABLE_2723) (not (tptp.r1 BOUND_VARIABLE_2723 BOUND_VARIABLE_2721))))) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23)) (tptp.p4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23) (tptp.p3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23) (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23) (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)))) (and _let_61 _let_60 (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2770 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (not (tptp.r1 Y BOUND_VARIABLE_2770))))) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32)) (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32) (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32) (not (forall ((X $$unsorted) (BOUND_VARIABLE_2841 $$unsorted) (BOUND_VARIABLE_2839 $$unsorted) (BOUND_VARIABLE_2837 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 X)) (and (not (tptp.p2 X)) (not (tptp.p1 X)) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2820 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (not (tptp.r1 Y BOUND_VARIABLE_2820)))))) (not (tptp.r1 X BOUND_VARIABLE_2837)) (tptp.p2 BOUND_VARIABLE_2837) (tptp.p1 BOUND_VARIABLE_2837) (not (tptp.r1 BOUND_VARIABLE_2837 BOUND_VARIABLE_2841)) (tptp.p4 BOUND_VARIABLE_2841) (tptp.p3 BOUND_VARIABLE_2841) (tptp.p2 BOUND_VARIABLE_2841) (tptp.p1 BOUND_VARIABLE_2841) (not (tptp.r1 BOUND_VARIABLE_2841 BOUND_VARIABLE_2839))))) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21)) (tptp.p4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21) (tptp.p3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21) (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21) (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)))) (and _let_60 (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2887 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (not (tptp.r1 Y BOUND_VARIABLE_2887))))) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) (not (forall ((X $$unsorted) (BOUND_VARIABLE_2957 $$unsorted) (BOUND_VARIABLE_2955 $$unsorted) (BOUND_VARIABLE_2953 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 X)) (and (not (tptp.p1 X)) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2937 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (not (tptp.r1 Y BOUND_VARIABLE_2937)))))) (not (tptp.r1 X BOUND_VARIABLE_2953)) (tptp.p1 BOUND_VARIABLE_2953) (not (tptp.r1 BOUND_VARIABLE_2953 BOUND_VARIABLE_2957)) (tptp.p4 BOUND_VARIABLE_2957) (tptp.p3 BOUND_VARIABLE_2957) (tptp.p2 BOUND_VARIABLE_2957) (tptp.p1 BOUND_VARIABLE_2957) (not (tptp.r1 BOUND_VARIABLE_2957 BOUND_VARIABLE_2955))))) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34)) (tptp.p4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34) (tptp.p3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34) (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34) (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37)))) (and _let_63 _let_62 _let_61 _let_60 (not (forall ((Y $$unsorted)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)))) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38)) (tptp.p4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38) (tptp.p3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38) (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38) (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (not (forall ((X $$unsorted) (BOUND_VARIABLE_3026 $$unsorted) (BOUND_VARIABLE_3024 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 X)) (and (not (tptp.p4 X)) (not (tptp.p3 X)) (not (tptp.p2 X)) (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))) (not (tptp.r1 X BOUND_VARIABLE_3024)) (tptp.p4 BOUND_VARIABLE_3024) (tptp.p3 BOUND_VARIABLE_3024) (tptp.p2 BOUND_VARIABLE_3024) (tptp.p1 BOUND_VARIABLE_3024) (not (tptp.r1 BOUND_VARIABLE_3024 BOUND_VARIABLE_3026))))))) (and _let_62 _let_61 _let_60 (not (forall ((Y $$unsorted)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)))) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (tptp.p3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (not (forall ((X $$unsorted) (BOUND_VARIABLE_3080 $$unsorted) (BOUND_VARIABLE_3078 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 X)) (and (not (tptp.p3 X)) (not (tptp.p2 X)) (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))) (not (tptp.r1 X BOUND_VARIABLE_3078)) (tptp.p3 BOUND_VARIABLE_3078) (tptp.p2 BOUND_VARIABLE_3078) (tptp.p1 BOUND_VARIABLE_3078) (not (tptp.r1 BOUND_VARIABLE_3078 BOUND_VARIABLE_3080))))))) (and _let_61 _let_60 (not (forall ((Y $$unsorted)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)))) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35)) (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35) (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33)) (not (forall ((X $$unsorted) (BOUND_VARIABLE_3132 $$unsorted) (BOUND_VARIABLE_3130 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 X)) (and (not (tptp.p2 X)) (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))) (not (tptp.r1 X BOUND_VARIABLE_3130)) (tptp.p2 BOUND_VARIABLE_3130) (tptp.p1 BOUND_VARIABLE_3130) (not (tptp.r1 BOUND_VARIABLE_3130 BOUND_VARIABLE_3132))))))) (and _let_60 (not (forall ((Y $$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 $$unsorted) (BOUND_VARIABLE_3182 $$unsorted) (BOUND_VARIABLE_3180 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 X)) (and (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))) (not (tptp.r1 X BOUND_VARIABLE_3180)) (tptp.p1 BOUND_VARIABLE_3180) (not (tptp.r1 BOUND_VARIABLE_3180 BOUND_VARIABLE_3182))))))) _let_59 (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)) (tptp.p3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16)) (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16)))) (let ((_let_65 (forall ((X $$unsorted) (BOUND_VARIABLE_3573 $$unsorted) (BOUND_VARIABLE_3571 $$unsorted) (BOUND_VARIABLE_3538 $$unsorted) (BOUND_VARIABLE_3536 $$unsorted) (BOUND_VARIABLE_3519 $$unsorted) (BOUND_VARIABLE_3348 $$unsorted) (BOUND_VARIABLE_3290 $$unsorted) (BOUND_VARIABLE_3493 $$unsorted) (BOUND_VARIABLE_3346 $$unsorted) (BOUND_VARIABLE_3332 $$unsorted) (BOUND_VARIABLE_3419 $$unsorted) (BOUND_VARIABLE_3470 $$unsorted) (BOUND_VARIABLE_3344 $$unsorted) (BOUND_VARIABLE_3312 $$unsorted) (BOUND_VARIABLE_3417 $$unsorted) (BOUND_VARIABLE_3304 $$unsorted) (BOUND_VARIABLE_3275 $$unsorted) (BOUND_VARIABLE_3298 $$unsorted) (BOUND_VARIABLE_3472 $$unsorted) (BOUND_VARIABLE_3277 $$unsorted) (BOUND_VARIABLE_3446 $$unsorted) (BOUND_VARIABLE_3387 $$unsorted) (BOUND_VARIABLE_3330 $$unsorted) (BOUND_VARIABLE_3389 $$unsorted) (BOUND_VARIABLE_3415 $$unsorted) (BOUND_VARIABLE_3385 $$unsorted) (BOUND_VARIABLE_3444 $$unsorted) (BOUND_VARIABLE_3383 $$unsorted) (BOUND_VARIABLE_3442 $$unsorted) (BOUND_VARIABLE_3468 $$unsorted) (BOUND_VARIABLE_3556 $$unsorted) (BOUND_VARIABLE_3497 $$unsorted) (BOUND_VARIABLE_3554 $$unsorted) (BOUND_VARIABLE_3318 $$unsorted) (BOUND_VARIABLE_3495 $$unsorted) (BOUND_VARIABLE_3517 $$unsorted)) (let ((_let_1 (not (tptp.p1 X)))) (let ((_let_2 (not (tptp.p2 X)))) (let ((_let_3 (not (tptp.p3 X)))) (let ((_let_4 (not (tptp.p4 X)))) (or (and (or (not (tptp.r1 X BOUND_VARIABLE_3275)) (tptp.p1 BOUND_VARIABLE_3275) (not (tptp.r1 BOUND_VARIABLE_3275 BOUND_VARIABLE_3277)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_3277 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_1866 $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_1866)) (tptp.p2 BOUND_VARIABLE_1866))))))) (not (tptp.r1 X BOUND_VARIABLE_3290)) (tptp.p2 BOUND_VARIABLE_3290))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p3 Y) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1883 $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p3 X)) (not (tptp.r1 X BOUND_VARIABLE_1883)) (tptp.p3 BOUND_VARIABLE_1883))))))) (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_1898 $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_1898)) (tptp.p2 BOUND_VARIABLE_1898))))))) (not (tptp.r1 X BOUND_VARIABLE_3304)) (tptp.p2 BOUND_VARIABLE_3304))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1915 $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p1 X)) (not (tptp.r1 X BOUND_VARIABLE_1915)) (tptp.p1 BOUND_VARIABLE_1915))))))) (and (or (and (not (forall ((Y $$unsorted) (BOUND_VARIABLE_1946 $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.r1 Y BOUND_VARIABLE_1946)) (tptp.p2 BOUND_VARIABLE_1946) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_1930 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1946 Y)) (not (tptp.p2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_1930)) (tptp.p2 BOUND_VARIABLE_1930))))))) (or (not (tptp.r1 X BOUND_VARIABLE_3318)) (tptp.p2 BOUND_VARIABLE_3318) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1962 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_3318 X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_1962)) (tptp.p2 BOUND_VARIABLE_1962)))))) (and _let_2 (or (not (tptp.r1 X BOUND_VARIABLE_3330)) (not (tptp.p2 BOUND_VARIABLE_3330)) (not (tptp.r1 BOUND_VARIABLE_3330 BOUND_VARIABLE_3332)) (tptp.p2 BOUND_VARIABLE_3332)))) (or (not (tptp.r1 X BOUND_VARIABLE_3344)) (and (or (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_3344 X)) (tptp.p2 X) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2024 $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_2024)) (tptp.p2 BOUND_VARIABLE_2024))))))) (not (tptp.r1 BOUND_VARIABLE_3344 BOUND_VARIABLE_3348)) (not (tptp.r1 BOUND_VARIABLE_3348 BOUND_VARIABLE_3346)) (tptp.p2 BOUND_VARIABLE_3346) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1992 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_3346 X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_1992)) (tptp.p2 BOUND_VARIABLE_1992))))) (or (tptp.p2 BOUND_VARIABLE_3344) (not (forall ((X $$unsorted) (BOUND_VARIABLE_2040 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_3344 X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_2040)) (tptp.p2 BOUND_VARIABLE_2040)))))) (not (forall ((X $$unsorted) (BOUND_VARIABLE_2263 $$unsorted) (BOUND_VARIABLE_2261 $$unsorted) (BOUND_VARIABLE_2249 $$unsorted) (BOUND_VARIABLE_2220 $$unsorted) (BOUND_VARIABLE_2218 $$unsorted) (BOUND_VARIABLE_2216 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_3344 X)) (and (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2158 $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.r1 Y BOUND_VARIABLE_2158)) (tptp.p2 BOUND_VARIABLE_2158) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2142 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_2158 Y)) (not (tptp.p2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_2142)) (tptp.p2 BOUND_VARIABLE_2142))))))) (or (not (tptp.r1 X BOUND_VARIABLE_2249)) (tptp.p2 BOUND_VARIABLE_2249) (not (forall ((X $$unsorted) (BOUND_VARIABLE_2174 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_2249 X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_2174)) (tptp.p2 BOUND_VARIABLE_2174)))))) (and (not (tptp.p2 X)) (or (not (tptp.r1 X BOUND_VARIABLE_2261)) (not (tptp.p2 BOUND_VARIABLE_2261)) (not (tptp.r1 BOUND_VARIABLE_2261 BOUND_VARIABLE_2263)) (tptp.p2 BOUND_VARIABLE_2263))) (not (tptp.r1 X BOUND_VARIABLE_2216)) (and (or (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_2216 X)) (tptp.p2 X) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2086 $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_2086)) (tptp.p2 BOUND_VARIABLE_2086))))))) (not (tptp.r1 BOUND_VARIABLE_2216 BOUND_VARIABLE_2220)) (not (tptp.r1 BOUND_VARIABLE_2220 BOUND_VARIABLE_2218)) (tptp.p2 BOUND_VARIABLE_2218) (not (forall ((X $$unsorted) (BOUND_VARIABLE_2054 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_2218 X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_2054)) (tptp.p2 BOUND_VARIABLE_2054))))) (or (tptp.p2 BOUND_VARIABLE_2216) (not (forall ((X $$unsorted) (BOUND_VARIABLE_2102 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_2216 X)) (not (tptp.p2 X)) (not (tptp.r1 X BOUND_VARIABLE_2102)) (tptp.p2 BOUND_VARIABLE_2102))))))))))) (and _let_1 (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2322 $$unsorted) (BOUND_VARIABLE_2320 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (not (tptp.r1 Y BOUND_VARIABLE_2320)) (tptp.p4 BOUND_VARIABLE_2320) (tptp.p3 BOUND_VARIABLE_2320) (tptp.p2 BOUND_VARIABLE_2320) (tptp.p1 BOUND_VARIABLE_2320) (not (tptp.r1 BOUND_VARIABLE_2320 BOUND_VARIABLE_2322))))) (or (not (tptp.r1 X BOUND_VARIABLE_3383)) (tptp.p1 BOUND_VARIABLE_3383) (not (forall ((X $$unsorted) (BOUND_VARIABLE_2471 $$unsorted) (BOUND_VARIABLE_2469 $$unsorted) (BOUND_VARIABLE_2467 $$unsorted) (BOUND_VARIABLE_2465 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_3383 X)) (and (not (tptp.p1 X)) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2440 $$unsorted) (BOUND_VARIABLE_2438 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (not (tptp.r1 Y BOUND_VARIABLE_2438)) (tptp.p4 BOUND_VARIABLE_2438) (tptp.p3 BOUND_VARIABLE_2438) (tptp.p2 BOUND_VARIABLE_2438) (tptp.p1 BOUND_VARIABLE_2438) (not (tptp.r1 BOUND_VARIABLE_2438 BOUND_VARIABLE_2440)))))) (not (tptp.r1 X BOUND_VARIABLE_2465)) (tptp.p1 BOUND_VARIABLE_2465) (not (tptp.r1 BOUND_VARIABLE_2465 BOUND_VARIABLE_2471)) (tptp.p4 BOUND_VARIABLE_2471) (tptp.p3 BOUND_VARIABLE_2471) (tptp.p2 BOUND_VARIABLE_2471) (tptp.p1 BOUND_VARIABLE_2471) (not (tptp.r1 BOUND_VARIABLE_2471 BOUND_VARIABLE_2467)) (tptp.p4 BOUND_VARIABLE_2467) (tptp.p3 BOUND_VARIABLE_2467) (tptp.p2 BOUND_VARIABLE_2467) (tptp.p1 BOUND_VARIABLE_2467) (not (tptp.r1 BOUND_VARIABLE_2467 BOUND_VARIABLE_2469))))) (not (tptp.r1 BOUND_VARIABLE_3383 BOUND_VARIABLE_3389)) (tptp.p4 BOUND_VARIABLE_3389) (tptp.p3 BOUND_VARIABLE_3389) (tptp.p2 BOUND_VARIABLE_3389) (tptp.p1 BOUND_VARIABLE_3389) (not (tptp.r1 BOUND_VARIABLE_3389 BOUND_VARIABLE_3385)) (tptp.p4 BOUND_VARIABLE_3385) (tptp.p3 BOUND_VARIABLE_3385) (tptp.p2 BOUND_VARIABLE_3385) (tptp.p1 BOUND_VARIABLE_3385) (not (tptp.r1 BOUND_VARIABLE_3385 BOUND_VARIABLE_3387)))) (and _let_4 _let_3 _let_2 _let_1 (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2530 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (not (tptp.r1 Y BOUND_VARIABLE_2530))))) (or (not (tptp.r1 X BOUND_VARIABLE_3415)) (tptp.p4 BOUND_VARIABLE_3415) (tptp.p3 BOUND_VARIABLE_3415) (tptp.p2 BOUND_VARIABLE_3415) (tptp.p1 BOUND_VARIABLE_3415) (not (forall ((X $$unsorted) (BOUND_VARIABLE_2603 $$unsorted) (BOUND_VARIABLE_2601 $$unsorted) (BOUND_VARIABLE_2599 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_3415 X)) (and (not (tptp.p4 X)) (not (tptp.p3 X)) (not (tptp.p2 X)) (not (tptp.p1 X)) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2580 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (not (tptp.r1 Y BOUND_VARIABLE_2580)))))) (not (tptp.r1 X BOUND_VARIABLE_2599)) (tptp.p4 BOUND_VARIABLE_2599) (tptp.p3 BOUND_VARIABLE_2599) (tptp.p2 BOUND_VARIABLE_2599) (tptp.p1 BOUND_VARIABLE_2599) (not (tptp.r1 BOUND_VARIABLE_2599 BOUND_VARIABLE_2603)) (tptp.p4 BOUND_VARIABLE_2603) (tptp.p3 BOUND_VARIABLE_2603) (tptp.p2 BOUND_VARIABLE_2603) (tptp.p1 BOUND_VARIABLE_2603) (not (tptp.r1 BOUND_VARIABLE_2603 BOUND_VARIABLE_2601))))) (not (tptp.r1 BOUND_VARIABLE_3415 BOUND_VARIABLE_3419)) (tptp.p4 BOUND_VARIABLE_3419) (tptp.p3 BOUND_VARIABLE_3419) (tptp.p2 BOUND_VARIABLE_3419) (tptp.p1 BOUND_VARIABLE_3419) (not (tptp.r1 BOUND_VARIABLE_3419 BOUND_VARIABLE_3417)))) (and _let_3 _let_2 _let_1 (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2651 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (not (tptp.r1 Y BOUND_VARIABLE_2651))))) (or (not (tptp.r1 X BOUND_VARIABLE_3442)) (tptp.p3 BOUND_VARIABLE_3442) (tptp.p2 BOUND_VARIABLE_3442) (tptp.p1 BOUND_VARIABLE_3442) (not (forall ((X $$unsorted) (BOUND_VARIABLE_2723 $$unsorted) (BOUND_VARIABLE_2721 $$unsorted) (BOUND_VARIABLE_2719 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_3442 X)) (and (not (tptp.p3 X)) (not (tptp.p2 X)) (not (tptp.p1 X)) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2701 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (not (tptp.r1 Y BOUND_VARIABLE_2701)))))) (not (tptp.r1 X BOUND_VARIABLE_2719)) (tptp.p3 BOUND_VARIABLE_2719) (tptp.p2 BOUND_VARIABLE_2719) (tptp.p1 BOUND_VARIABLE_2719) (not (tptp.r1 BOUND_VARIABLE_2719 BOUND_VARIABLE_2723)) (tptp.p4 BOUND_VARIABLE_2723) (tptp.p3 BOUND_VARIABLE_2723) (tptp.p2 BOUND_VARIABLE_2723) (tptp.p1 BOUND_VARIABLE_2723) (not (tptp.r1 BOUND_VARIABLE_2723 BOUND_VARIABLE_2721))))) (not (tptp.r1 BOUND_VARIABLE_3442 BOUND_VARIABLE_3446)) (tptp.p4 BOUND_VARIABLE_3446) (tptp.p3 BOUND_VARIABLE_3446) (tptp.p2 BOUND_VARIABLE_3446) (tptp.p1 BOUND_VARIABLE_3446) (not (tptp.r1 BOUND_VARIABLE_3446 BOUND_VARIABLE_3444)))) (and _let_2 _let_1 (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2770 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (not (tptp.r1 Y BOUND_VARIABLE_2770))))) (or (not (tptp.r1 X BOUND_VARIABLE_3468)) (tptp.p2 BOUND_VARIABLE_3468) (tptp.p1 BOUND_VARIABLE_3468) (not (forall ((X $$unsorted) (BOUND_VARIABLE_2841 $$unsorted) (BOUND_VARIABLE_2839 $$unsorted) (BOUND_VARIABLE_2837 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_3468 X)) (and (not (tptp.p2 X)) (not (tptp.p1 X)) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2820 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (not (tptp.r1 Y BOUND_VARIABLE_2820)))))) (not (tptp.r1 X BOUND_VARIABLE_2837)) (tptp.p2 BOUND_VARIABLE_2837) (tptp.p1 BOUND_VARIABLE_2837) (not (tptp.r1 BOUND_VARIABLE_2837 BOUND_VARIABLE_2841)) (tptp.p4 BOUND_VARIABLE_2841) (tptp.p3 BOUND_VARIABLE_2841) (tptp.p2 BOUND_VARIABLE_2841) (tptp.p1 BOUND_VARIABLE_2841) (not (tptp.r1 BOUND_VARIABLE_2841 BOUND_VARIABLE_2839))))) (not (tptp.r1 BOUND_VARIABLE_3468 BOUND_VARIABLE_3472)) (tptp.p4 BOUND_VARIABLE_3472) (tptp.p3 BOUND_VARIABLE_3472) (tptp.p2 BOUND_VARIABLE_3472) (tptp.p1 BOUND_VARIABLE_3472) (not (tptp.r1 BOUND_VARIABLE_3472 BOUND_VARIABLE_3470)))) (and _let_1 (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2887 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (not (tptp.r1 Y BOUND_VARIABLE_2887))))) (or (not (tptp.r1 X BOUND_VARIABLE_3493)) (tptp.p1 BOUND_VARIABLE_3493) (not (forall ((X $$unsorted) (BOUND_VARIABLE_2957 $$unsorted) (BOUND_VARIABLE_2955 $$unsorted) (BOUND_VARIABLE_2953 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_3493 X)) (and (not (tptp.p1 X)) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2937 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (not (tptp.r1 Y BOUND_VARIABLE_2937)))))) (not (tptp.r1 X BOUND_VARIABLE_2953)) (tptp.p1 BOUND_VARIABLE_2953) (not (tptp.r1 BOUND_VARIABLE_2953 BOUND_VARIABLE_2957)) (tptp.p4 BOUND_VARIABLE_2957) (tptp.p3 BOUND_VARIABLE_2957) (tptp.p2 BOUND_VARIABLE_2957) (tptp.p1 BOUND_VARIABLE_2957) (not (tptp.r1 BOUND_VARIABLE_2957 BOUND_VARIABLE_2955))))) (not (tptp.r1 BOUND_VARIABLE_3493 BOUND_VARIABLE_3497)) (tptp.p4 BOUND_VARIABLE_3497) (tptp.p3 BOUND_VARIABLE_3497) (tptp.p2 BOUND_VARIABLE_3497) (tptp.p1 BOUND_VARIABLE_3497) (not (tptp.r1 BOUND_VARIABLE_3497 BOUND_VARIABLE_3495)))) (and _let_4 _let_3 _let_2 _let_1 (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y)))) (or (not (tptp.r1 X BOUND_VARIABLE_3517)) (tptp.p4 BOUND_VARIABLE_3517) (tptp.p3 BOUND_VARIABLE_3517) (tptp.p2 BOUND_VARIABLE_3517) (tptp.p1 BOUND_VARIABLE_3517) (not (tptp.r1 BOUND_VARIABLE_3517 BOUND_VARIABLE_3519)) (not (forall ((X $$unsorted) (BOUND_VARIABLE_3026 $$unsorted) (BOUND_VARIABLE_3024 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_3517 X)) (and (not (tptp.p4 X)) (not (tptp.p3 X)) (not (tptp.p2 X)) (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))) (not (tptp.r1 X BOUND_VARIABLE_3024)) (tptp.p4 BOUND_VARIABLE_3024) (tptp.p3 BOUND_VARIABLE_3024) (tptp.p2 BOUND_VARIABLE_3024) (tptp.p1 BOUND_VARIABLE_3024) (not (tptp.r1 BOUND_VARIABLE_3024 BOUND_VARIABLE_3026))))))) (and _let_3 _let_2 _let_1 (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y)))) (or (not (tptp.r1 X BOUND_VARIABLE_3536)) (tptp.p3 BOUND_VARIABLE_3536) (tptp.p2 BOUND_VARIABLE_3536) (tptp.p1 BOUND_VARIABLE_3536) (not (tptp.r1 BOUND_VARIABLE_3536 BOUND_VARIABLE_3538)) (not (forall ((X $$unsorted) (BOUND_VARIABLE_3080 $$unsorted) (BOUND_VARIABLE_3078 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_3536 X)) (and (not (tptp.p3 X)) (not (tptp.p2 X)) (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))) (not (tptp.r1 X BOUND_VARIABLE_3078)) (tptp.p3 BOUND_VARIABLE_3078) (tptp.p2 BOUND_VARIABLE_3078) (tptp.p1 BOUND_VARIABLE_3078) (not (tptp.r1 BOUND_VARIABLE_3078 BOUND_VARIABLE_3080))))))) (and _let_2 _let_1 (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y)))) (or (not (tptp.r1 X BOUND_VARIABLE_3554)) (tptp.p2 BOUND_VARIABLE_3554) (tptp.p1 BOUND_VARIABLE_3554) (not (tptp.r1 BOUND_VARIABLE_3554 BOUND_VARIABLE_3556)) (not (forall ((X $$unsorted) (BOUND_VARIABLE_3132 $$unsorted) (BOUND_VARIABLE_3130 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_3554 X)) (and (not (tptp.p2 X)) (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))) (not (tptp.r1 X BOUND_VARIABLE_3130)) (tptp.p2 BOUND_VARIABLE_3130) (tptp.p1 BOUND_VARIABLE_3130) (not (tptp.r1 BOUND_VARIABLE_3130 BOUND_VARIABLE_3132))))))) (and _let_1 (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y)))) (or (not (tptp.r1 X BOUND_VARIABLE_3571)) (tptp.p1 BOUND_VARIABLE_3571) (not (tptp.r1 BOUND_VARIABLE_3571 BOUND_VARIABLE_3573)) (not (forall ((X $$unsorted) (BOUND_VARIABLE_3182 $$unsorted) (BOUND_VARIABLE_3180 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_3571 X)) (and (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))) (not (tptp.r1 X BOUND_VARIABLE_3180)) (tptp.p1 BOUND_VARIABLE_3180) (not (tptp.r1 BOUND_VARIABLE_3180 BOUND_VARIABLE_3182))))))) (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 $$unsorted) (BOUND_VARIABLE_3207 $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_3207)) (tptp.p2 BOUND_VARIABLE_3207)))))))))) (not (tptp.r1 X BOUND_VARIABLE_3298)) (tptp.p3 BOUND_VARIABLE_3298) (not (tptp.r1 X BOUND_VARIABLE_3312)) (tptp.p1 BOUND_VARIABLE_3312))))))))) (let ((_let_66 (not _let_64))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (not _let_65))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_67) :args (_let_68))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_68) _let_65))) (REFL :args (_let_66)) :args _let_56)) _let_67 :args (_let_66 true _let_65)))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_64 14)) (CONG (REFL :args (_let_64)) (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_58))) :args _let_56)) :args ((or _let_58 _let_64))) _let_69 :args (_let_58 true _let_64)))) (let ((_let_71 (_let_58))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 (_let_47))) (let ((_let_74 (REFL :args (_let_53)))) (let ((_let_75 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.r1 Y Z)) (tptp.r1 X Z))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (_let_75))) (let ((_let_78 (= BOUND_VARIABLE_3207 BOUND_VARIABLE_1866))) (let ((_let_79 (= Y X))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_64 2)) _let_69 :args ((not _let_16) true _let_64)))) (let ((_let_81 (not _let_14))) (let ((_let_82 (_let_16))) (let ((_let_83 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_82) (CONG (REFL :args _let_82) (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_8))) (REFL :args (_let_81)) :args _let_56)) :args ((or _let_8 _let_16 _let_81))))) (let ((_let_84 (_let_8))) (let ((_let_85 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_84) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_ENUM)) :args _let_84)))) (let ((_let_86 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 X)) (tptp.p2 X) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_3207 $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_3207)) (tptp.p2 BOUND_VARIABLE_3207)))))))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_32 _let_30 _let_87))) (let ((_let_89 (forall ((Y $$unsorted) (BOUND_VARIABLE_3207 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_114 Y)) (not (tptp.p2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_3207)) (tptp.p2 BOUND_VARIABLE_3207))))) (let ((_let_90 (not _let_89))) (let ((_let_91 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_114))) (let ((_let_92 (not _let_91))) (let ((_let_93 (or _let_92 _let_26 _let_90))) (let ((_let_94 (or _let_32 _let_92 _let_27))) (let ((_let_95 (not _let_29))) (let ((_let_96 (REFL :args (_let_34)))) (let ((_let_97 (_let_87))) (let ((_let_98 (REFL :args (_let_93)))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_64 0)) _let_69 :args ((not _let_42) true _let_64)))) (let ((_let_100 (CNF_AND_NEG :args (_let_42)))) (let ((_let_101 (REFL :args (_let_41)))) (let ((_let_102 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_41 0)) (CONG _let_101 (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))) :args _let_56)) :args ((or _let_39 _let_41))))) (let ((_let_103 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_41 2)) (CONG _let_101 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_56)) :args ((or _let_37 _let_41))))) (let ((_let_104 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_41 3)) (CONG _let_101 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_56)) :args ((or _let_35 _let_41))))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_77)) _let_76 :args (_let_43 false _let_75)))) (let ((_let_106 (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_40 _let_38 _let_5 (not _let_43)))))) (let ((_let_107 (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_35 (= Y X)))))) (let ((_let_108 (REORDERING (CNF_OR_POS :args (_let_7)) :args ((or _let_6 _let_4 (not _let_7)))))) (let ((_let_109 (MACRO_RESOLUTION_TRUST _let_108 _let_107 _let_106 _let_105 _let_104 _let_103 _let_102 _let_100 _let_99 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_26 _let_28 _let_25 _let_95))) (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_89 _let_79 _let_78))) (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_32 _let_92 _let_27 (not _let_94)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_114 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_77)) _let_76 :args (_let_94 false _let_75)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_93 2)) (CONG _let_98 (MACRO_SR_PRED_INTRO :args ((= (not _let_90) _let_89))) :args _let_56)) :args ((or _let_89 _let_93))) (CNF_OR_NEG :args (_let_93 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_93 0)) (CONG _let_98 (MACRO_SR_PRED_INTRO :args ((= (not _let_92) _let_91))) :args _let_56)) :args ((or _let_91 _let_93))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_97)) :args _let_97)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_87) _let_86))) (REFL :args ((not _let_93))) :args _let_56)) (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_32 _let_30 _let_87 (not _let_88)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_ENUM)) :args _let_71)) _let_70 :args (_let_88 false _let_58)) (CNF_OR_NEG :args (_let_34 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 1)) (CONG _let_96 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_56)) :args ((or _let_31 _let_34))) :args ((or _let_34 _let_95) false _let_24 false _let_27 false _let_94 false _let_89 true _let_26 false _let_91 true _let_93 true _let_86 false _let_88 true _let_30 false _let_31)) _let_85 _let_83 _let_80 (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_79 _let_78))) (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_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_79 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_77)) _let_76 :args (_let_54 false _let_75)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 2)) (CONG _let_74 (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_74 (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_73)) :args _let_73)) (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_72 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_ENUM)) :args _let_71)) _let_70 :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_114 QUANTIFIERS_INST_ENUM)) :args _let_44)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_79 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_110 (MACRO_RESOLUTION_TRUST _let_100 _let_99 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 0)) (CONG _let_96 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_17))) :args _let_56)) :args ((or _let_17 _let_34))) _let_109 :args (_let_34 true _let_17)) :args ((not _let_41) true _let_42 false _let_34)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_108 (MACRO_RESOLUTION_TRUST _let_107 (MACRO_RESOLUTION_TRUST _let_104 _let_110 :args (_let_35 true _let_41)) :args (_let_3 false _let_35)) (MACRO_RESOLUTION_TRUST _let_106 (MACRO_RESOLUTION_TRUST _let_102 _let_110 :args (_let_39 true _let_41)) (MACRO_RESOLUTION_TRUST _let_103 _let_110 :args (_let_37 true _let_41)) _let_105 :args (_let_5 false _let_39 false _let_37 false _let_43)) (MACRO_RESOLUTION_TRUST _let_85 (MACRO_RESOLUTION_TRUST _let_83 _let_80 (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_1866 BOUND_VARIABLE_1898)))) _let_109 :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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 13.35/13.67  )
% 13.35/13.67  % SZS output end Proof for LCL676+1.010
% 13.35/13.67  % cvc5---1.0.5 exiting
% 13.35/13.67  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------