%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL642+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n002.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 07:02:37 EDT 2023

% Result   : Theorem 46.26s 46.55s
% Output   : Proof 46.26s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem    : LCL642+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.15/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n002.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri Aug 25 00:10:31 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 46.26/46.55  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.DhptGNtUXk/cvc5---1.0.5_25575.p...
% 46.26/46.55  ------- get file name : TPTP file name is LCL642+1.005
% 46.26/46.55  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_25575.smt2...
% 46.26/46.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 46.26/46.55  --- Run --no-e-matching --full-saturate-quant at 5...
% 46.26/46.55  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 46.26/46.55  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 46.26/46.55  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 46.26/46.55  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 46.26/46.55  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 46.26/46.55  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 46.26/46.55  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 46.26/46.55  % SZS status Theorem for LCL642+1.005
% 46.26/46.55  % SZS output start Proof for LCL642+1.005
% 46.26/46.55  (
% 46.26/46.55  (let ((_let_1 (not (not (exists ((X $$unsorted)) (let ((_let_1 (tptp.p1 X))) (let ((_let_2 (tptp.p2 X))) (let ((_let_3 (tptp.p3 X))) (not (or (forall ((Y $$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 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p3 Y))) (not (tptp.p3 X)))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X)))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X)))))))) (not (and (or (and (or (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X))))))))) (or _let_2 (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (and (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y))))))))) (or (tptp.p2 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (and (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y))))))))) (or (tptp.p2 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X))))))))) (not (and (or (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X))))))))) (or (tptp.p2 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y))))))))))))))) (or (tptp.p4 X) _let_3 _let_2 _let_1 (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) false)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) false)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) false)))) (not (or (tptp.p4 X) (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) false))))))))))) (or _let_3 _let_2 _let_1 (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) false)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) false)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p3 Y) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) false)))) (not (or (tptp.p3 X) (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) false))))))))))) (or _let_2 _let_1 (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) false)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) false)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) false)))) (not (or (tptp.p2 X) (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) false))))))))))) (or _let_1 (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) false)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) false)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) false)))) (not (or (tptp.p1 X) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) false))))))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y)))))))))))))))))))))) (let ((_let_2 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y)))))) (let ((_let_3 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y)))))) (let ((_let_4 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_5 (not _let_4))) (let ((_let_6 (and _let_5 _let_2))) (let ((_let_7 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 Y)) (tptp.p2 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X))))))))) (let ((_let_8 (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 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 $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y)))))))))) _let_7))) (let ((_let_9 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 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 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X))))))))))) (let ((_let_10 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_11 (not _let_10))) (let ((_let_12 (or _let_11 _let_9 _let_8 _let_6))) (let ((_let_13 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 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 $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y))))))))) (let ((_let_14 (not _let_13))) (let ((_let_15 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X)))))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_18 (or _let_17 _let_16))) (let ((_let_19 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 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_20 (not _let_19))) (let ((_let_21 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 X)) (forall ((Y $$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_22 (or _let_21 _let_20))) (let ((_let_23 (and _let_22 _let_18))) (let ((_let_24 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23 _let_14))) (let ((_let_27 (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_28 (not _let_26))) (let ((_let_29 (not (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_30 (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 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X))))))))) (let ((_let_31 (forall ((Y $$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 $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y))))))))))) (let ((_let_32 (not _let_31))) (let ((_let_33 (and _let_32 _let_30))) (let ((_let_34 (or _let_33 (and _let_29 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y)))))))) (let ((_let_35 (and _let_34 _let_27))) (let ((_let_36 (not _let_27))) (let ((_let_37 (forall ((Y $$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_38 (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_39 (not _let_38))) (let ((_let_40 (not (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_41 (not (tptp.p3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_42 (not _let_37))) (let ((_let_43 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y))))) (let ((_let_44 (or (forall ((Y $$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 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p3 Y))) (not (tptp.p3 X)))))))) _let_43 _let_42 (forall ((Y $$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 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X)))))))) _let_35 (and (not (tptp.p4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) _let_41 _let_29 _let_40 (not (forall ((Y $$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_41 _let_29 _let_40 (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 $$unsorted)) (not (tptp.r1 X Y))))))))))) (and _let_29 _let_40 (not (forall ((Y $$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_40 (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 $$unsorted)) (not (tptp.r1 X Y))))))))))) _let_39))) (let ((_let_45 (forall ((X $$unsorted)) (let ((_let_1 (not (tptp.p1 X)))) (let ((_let_2 (not (tptp.p2 X)))) (let ((_let_3 (not (tptp.p3 X)))) (or (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)))))))) (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 $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y))))))))))) (and (not (tptp.p4 X)) _let_3 _let_2 _let_1 (not (forall ((Y $$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 $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y)))))))))))))))))) (let ((_let_46 (not _let_44))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (or))) (let ((_let_49 (not _let_45))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_47) :args (_let_49))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_45))) (REFL :args (_let_46)) :args _let_48)) _let_47 :args (_let_46 true _let_45)))) (let ((_let_51 (REFL :args (_let_44)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 3)) (CONG _let_51 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_37))) :args _let_48)) :args ((or _let_37 _let_44))) _let_50 :args (_let_37 true _let_44)))) (let ((_let_53 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 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_54 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_55 _let_53))) (let ((_let_57 (not _let_56))) (let ((_let_58 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 X)) (tptp.p2 X) (not (forall ((Y $$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_59 (not _let_58))) (let ((_let_60 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_61 (or _let_55 _let_60 _let_59))) (let ((_let_62 (_let_38))) (let ((_let_63 (or _let_55 _let_60))) (let ((_let_64 (not _let_63))) (let ((_let_65 (not _let_43))) (let ((_let_66 (_let_65))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_66)) :args _let_66)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_43))) (REFL :args (_let_64)) :args _let_48)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_44 2)) _let_50 :args (_let_65 true _let_44)) :args (_let_64 true _let_43)))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_63 0)) (CONG (REFL :args (_let_63)) (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_54))) :args _let_48)) :args ((or _let_54 _let_63))) _let_67 :args (_let_54 true _let_63)))) (let ((_let_69 (_let_31))) (let ((_let_70 (not _let_30))) (let ((_let_71 (_let_33))) (let ((_let_72 (_let_36))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_72)) :args _let_72)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_27))) (REFL :args (_let_28)) :args _let_48)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_35)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_44 6)) _let_50 :args ((not _let_35) true _let_44)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_34 0)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_71) (CONG (REFL :args _let_71) (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) (REFL :args (_let_70)) :args _let_48)) :args ((or _let_31 _let_33 _let_70))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_69) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y) false))))) :args _let_69)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_55 _let_53 _let_57))) _let_68 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_58 (= Y Y) (= X X) (= X X)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_55 _let_60 _let_59 (not _let_61)))) _let_68 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_63 1)) _let_67 :args ((not _let_60) true _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_62) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y) false))))) :args _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 11)) (CONG _let_51 (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_38))) :args _let_48)) :args ((or _let_38 _let_44))) _let_50 :args (_let_38 true _let_44)) :args (_let_61 false _let_38)) :args (_let_59 false _let_54 true _let_60 false _let_61)) :args ((not _let_53) true _let_58)) :args (_let_57 false _let_54 true _let_53)) :args (_let_32 true _let_56)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_37 (= X X) (= Y Y) (= Y Y)))) _let_52 :args (_let_30 false _let_37)) :args (_let_33 true _let_31 false _let_30)) :args (_let_34 false _let_33)) :args (_let_36 true _let_35 false _let_34)) :args (_let_28 true _let_27)))) (let ((_let_74 (REFL :args (_let_26)))) (let ((_let_75 (_let_13))) (let ((_let_76 (not _let_8))) (let ((_let_77 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 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_78 (or _let_11 _let_77))) (let ((_let_79 (not _let_77))) (let ((_let_80 (not _let_78))) (let ((_let_81 (not _let_21))) (let ((_let_82 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X)))))) (let ((_let_83 (not _let_82))) (let ((_let_84 (or _let_25 _let_17 _let_83))) (let ((_let_85 (_let_37))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_23)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_26 1)) _let_73 :args ((not _let_23) true _let_26)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_15 (= X X) (= Y Y)))) (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_25 _let_17 _let_83 (not _let_84)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_85) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y) false))))) :args _let_85)) _let_52 :args (_let_84 false _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 0)) (CONG _let_74 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_48)) :args ((or _let_24 _let_26))) _let_73 :args (_let_24 true _let_26)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_18 1)) (CONG (REFL :args (_let_18)) (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_48)) :args ((or _let_15 _let_18))) (CNF_OR_NEG :args (_let_18 0)) :args (_let_18 true _let_82 false _let_84 false _let_24 false _let_15 true _let_17)) :args ((not _let_22) true _let_23 false _let_18)))) (let ((_let_87 (_let_81))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_87)) :args _let_87)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_21))) (REFL :args (_let_80)) :args _let_48)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_22 0)) _let_86 :args (_let_81 true _let_22)) :args (_let_80 true _let_21)))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_78 1)) _let_88 :args (_let_79 true _let_78)))) (let ((_let_90 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X)))))) (let ((_let_91 (not _let_90))) (let ((_let_92 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_93 (or _let_92 _let_91))) (let ((_let_94 (and (or (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 X)) (forall ((Y $$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 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 X)) (tptp.p2 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y))))))))) _let_93))) (let ((_let_95 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_96 (not _let_95))) (let ((_let_97 (or _let_96 _let_94))) (let ((_let_98 (not _let_97))) (let ((_let_99 (not _let_94))) (let ((_let_100 (not _let_93))) (let ((_let_101 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X)))))) (let ((_let_102 (not _let_101))) (let ((_let_103 (or _let_96 _let_92 _let_102))) (let ((_let_104 (not _let_103))) (let ((_let_105 (_let_79))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_105)) :args _let_105)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_79) _let_77))) (REFL :args (_let_104)) :args _let_48)) _let_89 :args (_let_104 true _let_77)))) (let ((_let_107 (REFL :args (_let_103)))) (let ((_let_108 (_let_9))) (let ((_let_109 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_78 0)) (CONG (REFL :args (_let_78)) (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_48)) :args ((or _let_10 _let_78))) _let_88 :args (_let_10 true _let_78)))) (let ((_let_110 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_12)) :args ((or _let_11 _let_9 _let_8 _let_6 (not _let_12)))) _let_109 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_108) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.p2 Y)))) :args _let_108)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_96 _let_94 _let_98))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_103 0)) (CONG _let_107 (MACRO_SR_PRED_INTRO :args ((= (not _let_96) _let_95))) :args _let_48)) :args ((or _let_95 _let_103))) _let_106 :args (_let_95 true _let_103)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_94 1)) :args ((or _let_93 _let_99))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_92 _let_91 _let_100))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_103 1)) _let_106 :args ((not _let_92) true _let_103)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_101 (= X X) (= Y Y)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_103 2)) (CONG _let_107 (MACRO_SR_PRED_INTRO :args ((= (not _let_102) _let_101))) :args _let_48)) :args ((or _let_101 _let_103))) _let_106 :args (_let_101 true _let_103)) :args (_let_90 false _let_101)) :args (_let_100 true _let_92 false _let_90)) :args (_let_99 true _let_93)) :args (_let_98 false _let_95 true _let_94)) :args ((not _let_9) true _let_97)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_8 1)) :args ((or _let_7 _let_76))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_77 (= X X) (= Y Y) (= Y Y)))) _let_89 :args ((not _let_7) true _let_77)) :args (_let_76 true _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_75) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 X) false))))) :args _let_75)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 2)) (CONG _let_74 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_48)) :args ((or _let_13 _let_26))) _let_73 :args (_let_13 true _let_26)) :args (_let_12 false _let_13)) :args (_let_6 false _let_10 true _let_9 true _let_8 false _let_12)))) (let ((_let_111 (not _let_6))) (let ((_let_112 (not _let_3))) (let ((_let_113 (or _let_11 _let_4 _let_112))) (let ((_let_114 (_let_19))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_2 (= Y Y) (= X X)))) :args ((or _let_3 (not _let_2)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_113)) :args ((or _let_11 _let_4 _let_112 (not _let_113)))) _let_109 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_6 0)) :args ((or _let_5 _let_111))) _let_110 :args (_let_5 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_114) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 X) false))))) :args _let_114)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_22 1)) (CONG (REFL :args (_let_22)) (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_48)) :args ((or _let_19 _let_22))) _let_86 :args (_let_19 true _let_22)) :args (_let_113 false _let_19)) :args (_let_112 false _let_10 true _let_4 false _let_113)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_6 1)) :args ((or _let_2 _let_111))) _let_110 :args (_let_2 false _let_6)) :args (false true _let_3 false _let_2)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 46.26/46.56  )
% 46.26/46.56  % SZS output end Proof for LCL642+1.005
% 46.26/46.56  % cvc5---1.0.5 exiting
% 46.26/46.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------