%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL672+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n018.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 07:03:02 EDT 2023

% Result   : Theorem 45.63s 46.24s
% Output   : Proof 45.63s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : LCL672+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.15  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n018.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Thu Aug 24 20:38:13 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.23/0.51  %----Proving TF0_NAR, FOF, or CNF
% 45.63/46.24  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Fxn3D9mko0/cvc5---1.0.5_24821.p...
% 45.63/46.24  ------- get file name : TPTP file name is LCL672+1.005
% 45.63/46.24  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_24821.smt2...
% 45.63/46.24  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 45.63/46.24  --- Run --no-e-matching --full-saturate-quant at 5...
% 45.63/46.24  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 45.63/46.24  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 45.63/46.24  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 45.63/46.24  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 45.63/46.24  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 45.63/46.24  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.63/46.24  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 45.63/46.24  % SZS status Theorem for LCL672+1.005
% 45.63/46.24  % SZS output start Proof for LCL672+1.005
% 45.63/46.24  (
% 45.63/46.24  (let ((_let_1 (not (not (exists ((X $$unsorted)) (not (or (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X)))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X)))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p1 Y)))))))) (tptp.p1 Y)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X)))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X)))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))) (not (forall ((Y $$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)) (tptp.p1 X))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X)))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X)))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$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)) (tptp.p1 X))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X)))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X)))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) false)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X)))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X)))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p1 X)))))))) (tptp.p1 X)))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X)))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X)))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X)))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X)))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X)))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X)))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) false)))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X)))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p1 Y)))))))) (tptp.p1 Y)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X)))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))) (not (forall ((Y $$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)) (tptp.p1 X))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X)))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$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)) (tptp.p1 X))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X)))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) false)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X)))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p1 X)))))))) (tptp.p1 X)))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X)))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X)))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X)))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) false)))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p1 Y)))))))) (tptp.p1 Y)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) false)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))))))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.r1 X Y) (tptp.r1 Y Z)) (tptp.r1 X Z))))) (let ((_let_3 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_4 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))) (let ((_let_5 (not _let_3))) (let ((_let_6 (or _let_5 _let_4))) (let ((_let_7 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_10 (not _let_9))) (let ((_let_11 (or _let_10 _let_8 _let_3))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.r1 Y Z)) (tptp.r1 X Z))))) (let ((_let_13 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_14 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))) (let ((_let_15 (or _let_8 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 Y)) (tptp.p2 Y))) _let_14 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 Y)) (tptp.p1 Y)))))) (let ((_let_16 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))) (let ((_let_17 (not _let_15))) (let ((_let_18 (or _let_10 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 X)) (tptp.p2 X))) _let_16 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 X)) (tptp.p1 X)))))) (let ((_let_19 (not _let_16))) (let ((_let_20 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))) (let ((_let_21 (not _let_18))) (let ((_let_22 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Y)) (tptp.p1 Y))))) (let ((_let_23 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Y)) (tptp.p2 Y))))) (let ((_let_24 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23 _let_20 _let_22))) (let ((_let_27 (not _let_20))) (let ((_let_28 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))) (let ((_let_29 (not _let_26))) (let ((_let_30 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X)) (tptp.p1 X))))) (let ((_let_31 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X)) (tptp.p2 X))))) (let ((_let_32 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_31 _let_28 _let_30))) (let ((_let_35 (not _let_28))) (let ((_let_36 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))) (let ((_let_37 (not _let_34))) (let ((_let_38 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y))))) (let ((_let_39 (not _let_38))) (let ((_let_40 (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))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))) (let ((_let_41 (not _let_40))) (let ((_let_42 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y))))) (let ((_let_43 (not _let_42))) (let ((_let_44 (and _let_43 _let_41 _let_39))) (let ((_let_45 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y))))) (let ((_let_46 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y))))) (let ((_let_47 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y))))) (let ((_let_48 (not _let_47))) (let ((_let_49 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y))))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or (and _let_50 (not (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))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p1 Y))))))) (not (tptp.p1 Y)))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) _let_48) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y)))) (not (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))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (not (tptp.r1 Y X)))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y))))) _let_46 _let_36 _let_45 (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p1 X))))))) (not (tptp.p1 X)))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y)))) (not (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))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y)))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p1 Y))))))) (not (tptp.p1 Y)))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y))))) _let_44 (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y)))) (not (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))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y)))) (not (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))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$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.p1 X)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y))) (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))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y)))) (not (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))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p1 X))))))) (not (tptp.p1 X)))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y)))) (not (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))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y)))) (not (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))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y)))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y))) (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))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p1 Y))))))) (not (tptp.p1 Y))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (not (forall ((X $$unsorted)) (not (tptp.r1 Y X))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y))) (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))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y)))))) (let ((_let_52 (not _let_36))) (let ((_let_53 (forall ((X $$unsorted)) (or (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p1 Y))))))) (not (tptp.p1 Y)))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (not (tptp.r1 Y X)))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p1 X))))))) (not (tptp.p1 X)))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y)))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p1 Y))))))) (not (tptp.p1 Y)))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (not (tptp.r1 Y X)))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p1 X))))))) (not (tptp.p1 X)))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y)))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p1 Y))))))) (not (tptp.p1 Y))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (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))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (not (tptp.r1 Y X))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))) (let ((_let_54 (not _let_51))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (or))) (let ((_let_57 (not _let_53))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_55) :args (_let_57))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_53))) (REFL :args (_let_54)) :args _let_56)) _let_55 :args (_let_54 true _let_53)))) (let ((_let_59 (_let_52))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_59)) :args _let_59)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_36))) (REFL :args (_let_37)) :args _let_56)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_51 5)) _let_58 :args (_let_52 true _let_51)) :args (_let_37 true _let_36)))) (let ((_let_61 (_let_35))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_61)) :args _let_61)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_28))) (REFL :args (_let_29)) :args _let_56)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_34 2)) _let_60 :args (_let_35 true _let_34)) :args (_let_29 true _let_28)))) (let ((_let_63 (_let_27))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_63)) :args _let_63)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_20))) (REFL :args (_let_21)) :args _let_56)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_26 2)) _let_62 :args (_let_27 true _let_26)) :args (_let_21 true _let_20)))) (let ((_let_65 (_let_19))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_65)) :args _let_65)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_16))) (REFL :args (_let_17)) :args _let_56)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_18 2)) _let_64 :args (_let_19 true _let_18)) :args (_let_17 true _let_16)))) (let ((_let_67 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))))) (let ((_let_68 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Y)) (tptp.p1 Y))))) (let ((_let_69 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Y)) (tptp.p2 Y))))) (let ((_let_70 (or _let_25 _let_69 _let_67 _let_68))) (let ((_let_71 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))) (let ((_let_72 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X)) (tptp.p1 X))))) (let ((_let_73 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X)) (tptp.p2 X))))) (let ((_let_74 (or _let_33 _let_73 _let_71 _let_72))) (let ((_let_75 (_let_44))) (let ((_let_76 (_let_40))) (let ((_let_77 (_let_71))) (let ((_let_78 (_let_67))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_6)) :args ((or _let_5 _let_4 (not _let_6)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_78) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Y) false))))) :args _let_78)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_25 _let_69 _let_67 _let_68 (not _let_70)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 0)) (CONG (REFL :args (_let_26)) (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_56)) :args ((or _let_24 _let_26))) _let_62 :args (_let_24 true _let_26)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_23 (= Y Y)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_26 1)) _let_62 :args ((not _let_23) true _let_26)) :args ((not _let_69) true _let_23)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_22 (= Y Y)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_26 3)) _let_62 :args ((not _let_22) true _let_26)) :args ((not _let_68) true _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_77) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X) false))))) :args _let_77)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_33 _let_73 _let_71 _let_72 (not _let_74)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 0)) (CONG (REFL :args (_let_34)) (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_56)) :args ((or _let_32 _let_34))) _let_60 :args (_let_32 true _let_34)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_31 (= X X)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_34 1)) _let_60 :args ((not _let_31) true _let_34)) :args ((not _let_73) true _let_31)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_30 (= X X)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_34 3)) _let_60 :args ((not _let_30) true _let_34)) :args ((not _let_72) true _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_76) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y) false))))) :args _let_76)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_75) (CONG (REFL :args _let_75) (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_42))) (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_38))) :args _let_56)) :args ((or _let_42 _let_40 _let_38 _let_44))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_49 (= Y Y)))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_49 (= Y Y)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_51 4)) _let_58 :args ((not _let_46) true _let_51)) :args (_let_50 true _let_46)) :args (_let_43 true _let_49)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_47 (= Y Y)))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_47 (= Y Y)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_51 6)) _let_58 :args ((not _let_45) true _let_51)) :args (_let_48 true _let_45)) :args (_let_39 true _let_47)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_51 15)) _let_58 :args ((not _let_44) true _let_51)) :args (_let_40 true _let_42 true _let_38 true _let_44)) :args (_let_74 false _let_40)) :args (_let_71 false _let_32 true _let_73 true _let_72 false _let_74)) :args (_let_70 false _let_71)) :args (_let_67 false _let_24 true _let_69 true _let_68 false _let_70)) :args (_let_6 false _let_67)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_14 (= Y X) (= X Y) (= Y X) (= X Y)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_15 2)) _let_66 :args ((not _let_14) true _let_15)) :args ((not _let_4) true _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_11)) :args ((or _let_10 _let_8 _let_3 (not _let_11)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_18 0)) (CONG (REFL :args (_let_18)) (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) :args _let_56)) :args ((or _let_9 _let_18))) _let_64 :args (_let_9 true _let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_15 0)) (CONG (REFL :args (_let_15)) (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_7))) :args _let_56)) :args ((or _let_7 _let_15))) _let_66 :args (_let_7 true _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_13 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.r1 X Y) false)) (not (= (tptp.r1 Y Z) false))))) :args (_let_12))) _let_13 :args (_let_11 false _let_12)) :args (_let_3 false _let_9 false _let_7 false _let_11)) :args (false false _let_6 true _let_4 false _let_3)) :args ((forall ((X $$unsorted)) (tptp.r1 X X)) _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 45.63/46.25  )
% 45.63/46.25  % SZS output end Proof for LCL672+1.005
% 45.63/46.25  % cvc5---1.0.5 exiting
% 45.63/46.25  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------