TSTP Solution File: LCL660+1.015 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL660+1.015 : 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 07:02:53 EDT 2023

% Result   : Theorem 46.12s 46.57s
% Output   : Proof 46.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : LCL660+1.015 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n028.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Thu Aug 24 18:57:05 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 46.12/46.57  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.gGmXOM9qDz/cvc5---1.0.5_29900.p...
% 46.12/46.57  ------- get file name : TPTP file name is LCL660+1.015
% 46.12/46.57  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29900.smt2...
% 46.12/46.57  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 46.12/46.57  --- Run --no-e-matching --full-saturate-quant at 5...
% 46.12/46.57  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 46.12/46.57  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 46.12/46.57  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 46.12/46.57  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 46.12/46.57  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 46.12/46.57  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 46.12/46.57  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 46.12/46.57  % SZS status Theorem for LCL660+1.015
% 46.12/46.57  % SZS output start Proof for LCL660+1.015
% 46.12/46.57  (
% 46.12/46.57  (let ((_let_1 (not (not (exists ((X $$unsorted)) (let ((_let_1 (tptp.p1 X))) (let ((_let_2 (tptp.p2 X))) (let ((_let_3 (tptp.p3 X))) (let ((_let_4 (tptp.p4 X))) (not (or (and (not (forall ((Y $$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 $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y))))))))))))))) (or _let_2 _let_1 (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) false)))))))) (not (forall ((Y $$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)) (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.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)) (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.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)) (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_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 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$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 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$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 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y) (forall ((X $$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)) (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 $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) false))))))))))))))))) (or _let_4 _let_3 _let_2 _let_1 (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) false)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$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 $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) false)))))))) (not (or (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) false))))))))))))))) (or _let_3 _let_2 _let_1 (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$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.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)) (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 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) false)))))))) (not (or (tptp.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)) (tptp.p4 X) (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)) (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 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$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.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)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) false)))))))) (not (or (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) false))))))))))))))) (or _let_1 (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$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)) (tptp.r1 X X)))) (let ((_let_3 (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_4 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X)) (not (tptp.p5 X)))))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_7 (not _let_6))) (let ((_let_8 (or _let_7 _let_5))) (let ((_let_9 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X))))))))) (let ((_let_10 (not _let_9))) (let ((_let_11 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y))))) (let ((_let_12 (or _let_11 _let_10))) (let ((_let_13 (not _let_3))) (let ((_let_14 (and _let_13 _let_12))) (let ((_let_15 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X))))))))) (let ((_let_16 (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)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X))))))))) (let ((_let_17 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X)))))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_20 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_19 _let_18))) (let ((_let_23 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 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 $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y))))))))))) (let ((_let_24 (not _let_23))) (let ((_let_25 (and _let_24 _let_16))) (let ((_let_26 (not (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_27 (or _let_25 (and _let_26 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y)))))))) (let ((_let_28 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 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))))))))) (and (not (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)))))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X)))))))) (and (not (tptp.p2 X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y)))))))))))) (let ((_let_29 (and _let_27 _let_28))) (let ((_let_30 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 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))))))))) (and (not (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)))))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X)))))))) (and (not (tptp.p2 X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y))))))))) (let ((_let_31 (not _let_30))) (let ((_let_32 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X)))))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_19 _let_33))) (let ((_let_35 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 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_36 (not _let_35))) (let ((_let_37 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 X)) (forall ((Y $$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))))))))))) (let ((_let_38 (or _let_37 _let_36))) (let ((_let_39 (and _let_38 _let_34))) (let ((_let_40 (or _let_21 _let_39 _let_31))) (let ((_let_41 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y)))))) (let ((_let_42 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_43 (not _let_42))) (let ((_let_44 (and _let_43 _let_41))) (let ((_let_45 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 Y)) (tptp.p2 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X))))))))) (let ((_let_46 (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 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 $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y)))))))))) _let_45))) (let ((_let_47 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 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 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X))))))))))) (let ((_let_48 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_47 _let_46 _let_44))) (let ((_let_51 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 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))))))))) (let ((_let_52 (or _let_49 _let_51))) (let ((_let_53 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y)))))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_49 _let_42 _let_54))) (let ((_let_56 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X)))))) (let ((_let_57 (not _let_56))) (let ((_let_58 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_59 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_60 (not _let_59))) (let ((_let_61 (or _let_60 _let_58 _let_57))) (let ((_let_62 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X)))))) (let ((_let_63 (not _let_62))) (let ((_let_64 (or _let_58 _let_63))) (let ((_let_65 (and (or (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 X)) (forall ((Y $$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 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 X)) (tptp.p2 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y))))))))) _let_64))) (let ((_let_66 (or _let_60 _let_65))) (let ((_let_67 (not _let_15))) (let ((_let_68 (_let_15))) (let ((_let_69 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 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_70 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_71 (not _let_70))) (let ((_let_72 (or _let_71 _let_69))) (let ((_let_73 (not _let_72))) (let ((_let_74 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 X)) (tptp.p2 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y))))))))) (let ((_let_75 (not _let_74))) (let ((_let_76 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_77 (or _let_71 _let_76 _let_75))) (let ((_let_78 (forall ((Y $$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)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y)))))))))))) (let ((_let_79 (not _let_78))) (let ((_let_80 (not (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_81 (not (tptp.p3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_82 (not (tptp.p4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_83 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y))))) (let ((_let_84 (or _let_83 _let_67))) (let ((_let_85 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (not (tptp.p5 Y)))))) (let ((_let_86 (not _let_85))) (let ((_let_87 (and _let_86 _let_84))) (let ((_let_88 (or _let_87 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p3 Y))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p3 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p3 Y))) (not (tptp.p3 X)))))))) _let_14 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X)))))))) _let_29 (and _let_26 _let_80 (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 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)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X)))))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 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)) (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)) (not (tptp.r1 X Y))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.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)) (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)) (not (tptp.r1 X Y))))))))))) (and (not (tptp.p2 X)) (not (tptp.p1 X)) (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 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X))))))))))))))))) (and _let_80 (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X)))))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y) (forall ((X $$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)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y) (forall ((X $$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)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))))))))) (and (not (tptp.p1 X)) (not (forall ((Y $$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)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X))))))))))))))))) (and _let_82 _let_81 _let_26 _let_80 (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 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)) (not (tptp.r1 X Y)))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X))))))) (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)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X))))))))) (and (not (tptp.p4 X)) (not (tptp.p3 X)) (not (tptp.p2 X)) (not (tptp.p1 X)) (not (forall ((Y $$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)) (not (tptp.r1 X Y))))))))))))))) (and _let_81 _let_26 _let_80 (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (not (tptp.r1 X Y)))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 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)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X))))))) (not (forall ((X $$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 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X))))))))) (and (not (tptp.p3 X)) (not (tptp.p2 X)) (not (tptp.p1 X)) (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 $$unsorted)) (not (tptp.r1 X Y))))))))))))))) (and _let_26 _let_80 (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 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)) (not (tptp.r1 X Y)))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X))))))) (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)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X))))))))) (and (not (tptp.p2 X)) (not (tptp.p1 X)) (not (forall ((Y $$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)) (not (tptp.r1 X Y))))))))))))))) (and _let_80 (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (not (tptp.r1 X Y)))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 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 $$unsorted)) (not (tptp.r1 Y X))))))) (not (forall ((X $$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)) (not (tptp.r1 Y X))))))))) (and (not (tptp.p1 X)) (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 $$unsorted)) (not (tptp.r1 X Y))))))))))))))) (and _let_82 _let_81 _let_26 _let_80 (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X)))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 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)) (not (tptp.r1 X Y))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.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)) (not (tptp.r1 X Y))))))) (and (not (tptp.p4 X)) (not (tptp.p3 X)) (not (tptp.p2 X)) (not (tptp.p1 X)) (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)) (not (tptp.r1 Y X))))))))))))) (and _let_81 _let_26 _let_80 (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X)))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))))) (and (not (tptp.p3 X)) (not (tptp.p2 X)) (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X))))))))))))) (and _let_26 _let_80 (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X)))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 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)) (not (tptp.r1 X Y))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.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)) (not (tptp.r1 X Y))))))) (and (not (tptp.p2 X)) (not (tptp.p1 X)) (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)) (not (tptp.r1 Y X))))))))))))) (and _let_80 (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X)))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))))) (and (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X))))))))))))) (and _let_82 _let_81 _let_26 _let_80 (not (forall ((Y $$unsorted)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)))) (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X))) (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 $$unsorted)) (not (tptp.r1 Y X))))) (and (not (tptp.p4 X)) (not (tptp.p3 X)) (not (tptp.p2 X)) (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))))))))) (and _let_81 _let_26 _let_80 (not (forall ((Y $$unsorted)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)))) (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X))) (not (forall ((X $$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)) (not (tptp.r1 Y X))))) (and (not (tptp.p3 X)) (not (tptp.p2 X)) (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))))))))) (and _let_26 _let_80 (not (forall ((Y $$unsorted)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)))) (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X))) (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 $$unsorted)) (not (tptp.r1 Y X))))) (and (not (tptp.p2 X)) (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))))))))) (and _let_80 (not (forall ((Y $$unsorted)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)))) (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X))))) (and (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))))))))) _let_79))) (let ((_let_89 (forall ((X $$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 (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 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X)))))))) (and (or (and (not (forall ((Y $$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 $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y)))))))))) (forall ((Y $$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)))))))) (and _let_2 (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)))))) (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 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X))))))))) (and (not (forall ((Y $$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 $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y)))))))))) (forall ((Y $$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)))))))) (and (not (tptp.p2 X)) (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))))))))))) (and _let_2 _let_1 (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 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (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 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))))))))) (and (not (tptp.p2 X)) (not (tptp.p1 X)) (not (forall ((Y $$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)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X))))))))))))))))) (and _let_1 (not (forall ((Y $$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)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X)))))))))) (forall ((Y $$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 $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.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 $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))))))))) (and (not (tptp.p1 X)) (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 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X))))))))))))))))) (and _let_4 _let_3 _let_2 _let_1 (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 $$unsorted)) (not (tptp.r1 X Y)))))))) (forall ((Y $$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)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X))))))) (not (forall ((X $$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 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X))))))))) (and (not (tptp.p4 X)) (not (tptp.p3 X)) (not (tptp.p2 X)) (not (tptp.p1 X)) (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 $$unsorted)) (not (tptp.r1 X Y))))))))))))))) (and _let_3 _let_2 _let_1 (not (forall ((Y $$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)) (not (tptp.r1 X Y)))))))) (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 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X))))))) (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)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X))))))))) (and (not (tptp.p3 X)) (not (tptp.p2 X)) (not (tptp.p1 X)) (not (forall ((Y $$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)) (not (tptp.r1 X Y))))))))))))))) (and _let_2 _let_1 (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 $$unsorted)) (not (tptp.r1 X Y)))))))) (forall ((Y $$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)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X))))))) (not (forall ((X $$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 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X))))))))) (and (not (tptp.p2 X)) (not (tptp.p1 X)) (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 $$unsorted)) (not (tptp.r1 X Y))))))))))))))) (and _let_1 (not (forall ((Y $$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)) (not (tptp.r1 X Y)))))))) (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)) (not (tptp.r1 Y X))))))) (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 $$unsorted)) (not (tptp.r1 Y X))))))))) (and (not (tptp.p1 X)) (not (forall ((Y $$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)) (not (tptp.r1 X Y))))))))))))))) (and _let_4 _let_3 _let_2 _let_1 (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)) (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 $$unsorted)) (not (tptp.r1 X Y))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))))) (and (not (tptp.p4 X)) (not (tptp.p3 X)) (not (tptp.p2 X)) (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X))))))))))))) (and _let_3 _let_2 _let_1 (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X)))))) (forall ((Y $$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)) (not (tptp.r1 X Y))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p3 Y) (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)) (not (tptp.r1 X Y))))))) (and (not (tptp.p3 X)) (not (tptp.p2 X)) (not (tptp.p1 X)) (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)) (not (tptp.r1 Y X))))))))))))) (and _let_2 _let_1 (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)) (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 $$unsorted)) (not (tptp.r1 X Y))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))))) (and (not (tptp.p2 X)) (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X))))))))))))) (and _let_1 (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X)))))) (forall ((Y $$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)) (not (tptp.r1 X Y))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.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)) (not (tptp.r1 X Y))))))) (and (not (tptp.p1 X)) (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)) (not (tptp.r1 Y X))))))))))))) (and _let_4 _let_3 _let_2 _let_1 (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y)))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X))) (not (forall ((X $$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)) (not (tptp.r1 Y X))))) (and (not (tptp.p4 X)) (not (tptp.p3 X)) (not (tptp.p2 X)) (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))))))))) (and _let_3 _let_2 _let_1 (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y)))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X))) (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 $$unsorted)) (not (tptp.r1 Y X))))) (and (not (tptp.p3 X)) (not (tptp.p2 X)) (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))))))))) (and _let_2 _let_1 (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y)))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X))) (not (forall ((X $$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)) (not (tptp.r1 Y X))))) (and (not (tptp.p2 X)) (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))))))))) (and _let_1 (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y)))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y) (forall ((X $$unsorted)) (not (tptp.r1 Y X))))) (and (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y))))))))))) (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 $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y))))))))))))))))))) (let ((_let_90 (not _let_88))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (or))) (let ((_let_93 (not _let_89))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_91) :args (_let_93))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_93) _let_89))) (REFL :args (_let_90)) :args _let_92)) _let_91 :args (_let_90 true _let_89)))) (let ((_let_95 (_let_78))) (let ((_let_96 (or _let_71 _let_76))) (let ((_let_97 (not _let_96))) (let ((_let_98 (not _let_83))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_88 0)) _let_94 :args ((not _let_87) true _let_88)))) (let ((_let_100 (not _let_84))) (let ((_let_101 (_let_87))) (let ((_let_102 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_101) (CONG (REFL :args _let_101) (MACRO_SR_PRED_INTRO :args ((= (not _let_86) _let_85))) (REFL :args (_let_100)) :args _let_92)) :args ((or _let_85 _let_87 _let_100))))) (let ((_let_103 (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_85 (= Y X)))))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_88 3)) _let_94 :args ((not _let_14) true _let_88)))) (let ((_let_105 (not _let_12))) (let ((_let_106 (_let_14))) (let ((_let_107 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_106) (CONG (REFL :args _let_106) (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_3))) (REFL :args (_let_105)) :args _let_92)) :args ((or _let_3 _let_14 _let_105))))) (let ((_let_108 (_let_2))) (let ((_let_109 (ASSUME :args _let_108))) (let ((_let_110 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_108)) _let_109 :args (_let_6 false _let_2)))) (let ((_let_111 (not _let_8))) (let ((_let_112 (REORDERING (CNF_OR_POS :args (_let_8)) :args ((or _let_7 _let_5 _let_111))))) (let ((_let_113 (_let_3))) (let ((_let_114 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_113) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y) false))))) :args _let_113)))) (let ((_let_115 (_let_98))) (let ((_let_116 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_115)) :args _let_115)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_98) _let_83))) (REFL :args (_let_97)) :args _let_92)) (MACRO_RESOLUTION_TRUST _let_114 _let_112 _let_110 _let_107 _let_104 _let_103 (CNF_OR_NEG :args (_let_12 0)) _let_102 _let_99 (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_83 (= Y Y)))) :args ((or _let_11 _let_98))) (CNF_OR_NEG :args (_let_84 0)) :args (_let_98 true _let_8 false _let_6 false _let_3 true _let_14 false _let_4 false _let_12 false _let_85 true _let_87 false _let_11 false _let_84)) :args (_let_97 true _let_83)))) (let ((_let_117 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_96 0)) (CONG (REFL :args (_let_96)) (MACRO_SR_PRED_INTRO :args ((= (not _let_71) _let_70))) :args _let_92)) :args ((or _let_70 _let_96))) _let_116 :args (_let_70 true _let_96)))) (let ((_let_118 (_let_23))) (let ((_let_119 (not _let_16))) (let ((_let_120 (_let_25))) (let ((_let_121 (not _let_28))) (let ((_let_122 (_let_121))) (let ((_let_123 (REFL :args (_let_40)))) (let ((_let_124 (_let_30))) (let ((_let_125 (not _let_22))) (let ((_let_126 (not _let_37))) (let ((_let_127 (_let_126))) (let ((_let_128 (_let_35))) (let ((_let_129 (not _let_51))) (let ((_let_130 (_let_129))) (let ((_let_131 (REFL :args (_let_61)))) (let ((_let_132 (_let_47))) (let ((_let_133 (not _let_44))) (let ((_let_134 (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_41 (= X X) (= Y Y)))) :args ((or _let_53 (not _let_41)))) (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_49 _let_42 _let_54 (not _let_55)))) (REORDERING (CNF_AND_POS :args (_let_44 1)) :args ((or _let_41 _let_133))) (REORDERING (CNF_AND_POS :args (_let_44 0)) :args ((or _let_43 _let_133))) (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_49 _let_47 _let_46 _let_44 (not _let_50)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_132) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 Y) false))))) :args _let_132)) (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_60 _let_65 (not _let_66)))) (REORDERING (CNF_AND_POS :args (_let_65 1)) :args ((or _let_64 (not _let_65)))) (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_58 _let_63 (not _let_64)))) (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_56 (= Y Y) (= X X)))) (REORDERING (CNF_AND_POS :args (_let_46 1)) :args ((or _let_45 (not _let_46)))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_61 2)) (CONG _let_131 (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_56))) :args _let_92)) :args ((or _let_56 _let_61))) (CNF_OR_NEG :args (_let_61 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_61 0)) (CONG _let_131 (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_59))) :args _let_92)) :args ((or _let_59 _let_61))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_51 (= X X) (= Y Y) (= Y Y)))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_130)) :args _let_130)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_129) _let_51))) (REFL :args ((not _let_61))) :args _let_92)) (CNF_OR_NEG :args (_let_52 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 0)) (CONG (REFL :args (_let_52)) (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_48))) :args _let_92)) :args ((or _let_48 _let_52))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_128) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 X) false))))) :args _let_128)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_127)) :args _let_127)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_126) _let_37))) (REFL :args ((not _let_52))) :args _let_92)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 1)) (CONG (REFL :args (_let_38)) (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_92)) :args ((or _let_35 _let_38))) (CNF_OR_NEG :args (_let_38 0)) (CNF_AND_NEG :args (_let_39)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_32 (= Y Y) (= X X)))) (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_21 _let_19 _let_18 _let_125))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 1)) (CONG (REFL :args (_let_34)) (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_92)) :args ((or _let_32 _let_34))) (CNF_OR_NEG :args (_let_34 0)) :args ((or _let_21 _let_34 _let_125) true _let_17 false _let_32 true _let_19)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_124) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 X) false))))) :args _let_124)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_40 2)) (CONG _let_123 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) :args _let_92)) :args ((or _let_30 _let_40))) (CNF_OR_NEG :args (_let_40 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_40 0)) (CONG _let_123 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_92)) :args ((or _let_20 _let_40))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_122)) :args _let_122)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_121) _let_28))) (REFL :args ((not _let_40))) :args _let_92)) (CNF_AND_NEG :args (_let_29)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_88 6)) _let_94 :args ((not _let_29) true _let_88)) (CNF_OR_NEG :args (_let_27 0)) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_120) (CONG (REFL :args _let_120) (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) (REFL :args (_let_119)) :args _let_92)) :args ((or _let_23 _let_25 _let_119))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_118) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y) false))))) :args _let_118)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_71 _let_69 _let_73))) _let_117 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_74 (= Y Y) (= X X) (= X X)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_71 _let_76 _let_75 (not _let_77)))) _let_117 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_96 1)) _let_116 :args ((not _let_76) true _let_96)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_95) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y) false))))) :args _let_95)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_88 21)) (CONG (REFL :args (_let_88)) (MACRO_SR_PRED_INTRO :args ((= (not _let_79) _let_78))) :args _let_92)) :args ((or _let_78 _let_88))) _let_94 :args (_let_78 true _let_88)) :args (_let_77 false _let_78)) :args (_let_75 false _let_70 true _let_76 false _let_77)) :args ((not _let_69) true _let_74)) :args (_let_73 false _let_70 true _let_69)) :args (_let_24 true _let_72)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_68) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y) false))))) :args _let_68)) (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_15 (= X X) (= Y Y) (= Y Y)))) :args (_let_67 true _let_53 false _let_41 true _let_42 false _let_44 true _let_47 true _let_66 true _let_65 true _let_64 false _let_62 true _let_46 false _let_56 true _let_58 false _let_59 true _let_45 true _let_61 true _let_51 false _let_48 false _let_55 true _let_52 false _let_35 true _let_37 true _let_38 false _let_34 false _let_50 false _let_30 true _let_39 false _let_20 true _let_40 true _let_28 true _let_29 false _let_27 false _let_25 true _let_23 false _let_22 false _let_16)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_114 (MACRO_RESOLUTION_TRUST _let_112 _let_110 (MACRO_RESOLUTION_TRUST _let_103 (MACRO_RESOLUTION_TRUST _let_102 _let_99 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_84 1)) (CONG (REFL :args (_let_84)) (MACRO_SR_PRED_INTRO :args ((= (not _let_67) _let_15))) :args _let_92)) :args ((or _let_15 _let_84))) _let_134 :args (_let_84 true _let_15)) :args (_let_85 true _let_87 false _let_84)) :args (_let_4 false _let_85)) :args (_let_111 false _let_6 false _let_4)) (MACRO_RESOLUTION_TRUST _let_107 _let_104 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_12 1)) (CONG (REFL :args (_let_12)) (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) :args _let_92)) :args ((or _let_9 _let_12))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_15 (= X X) (= Y Y) (= Y Y)))) _let_134 :args (_let_10 true _let_15)) :args (_let_12 true _let_9)) :args (_let_3 true _let_14 false _let_12)) :args (false true _let_8 false _let_3)) :args (_let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 46.12/46.58  )
% 46.12/46.58  % SZS output end Proof for LCL660+1.015
% 46.12/46.58  % cvc5---1.0.5 exiting
% 46.12/46.58  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------