%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL660+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n014.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 07:02:52 EDT 2023

% Result   : Theorem 45.94s 46.23s
% Output   : Proof 45.94s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : LCL660+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.19/0.36  % Computer : n014.cluster.edu
% 0.19/0.36  % Model    : x86_64 x86_64
% 0.19/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.36  % Memory   : 8042.1875MB
% 0.19/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.36  % CPULimit   : 300
% 0.19/0.36  % WCLimit    : 300
% 0.19/0.36  % DateTime   : Fri Aug 25 06:31:33 EDT 2023
% 0.19/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 45.94/46.23  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.4clJY3fdd0/cvc5---1.0.5_31744.p...
% 45.94/46.23  ------- get file name : TPTP file name is LCL660+1.001
% 45.94/46.23  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_31744.smt2...
% 45.94/46.23  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 45.94/46.23  --- Run --no-e-matching --full-saturate-quant at 5...
% 45.94/46.23  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 45.94/46.23  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 45.94/46.23  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 45.94/46.23  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 45.94/46.23  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 45.94/46.23  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.94/46.23  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 45.94/46.23  % SZS status Theorem for LCL660+1.001
% 45.94/46.23  % SZS output start Proof for LCL660+1.001
% 45.94/46.23  (
% 45.94/46.23  (let ((_let_1 (not (not (exists ((X $$unsorted)) (not (or (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p3 Y))))) (or (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X)))))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p4 Y))) (not (tptp.p4 X)))))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p3 X)))))))) (or (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X)))))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X)))))))) (not (and (or (and (or (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X))))))))) (or (tptp.p2 X) (not (forall ((Y $$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)) (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 $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y))))))))))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y))))))))))))))))))) (let ((_let_2 (forall ((X $$unsorted)) (tptp.r1 X X)))) (let ((_let_3 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p3 X))))))))) (let ((_let_4 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X)) (not (tptp.p3 X)))))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_7 (not _let_6))) (let ((_let_8 (or _let_7 _let_5))) (let ((_let_9 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X))))))))) (let ((_let_10 (not _let_9))) (let ((_let_11 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y))))) (let ((_let_12 (or _let_11 _let_10))) (let ((_let_13 (not _let_3))) (let ((_let_14 (and _let_13 _let_12))) (let ((_let_15 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X))))))))) (let ((_let_16 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X))))))))) (let ((_let_17 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X)))))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_20 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_19 _let_18))) (let ((_let_23 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y))))))))))) (let ((_let_24 (not _let_23))) (let ((_let_25 (and _let_24 _let_16))) (let ((_let_26 (or _let_25 (and (not (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y)))))))) (let ((_let_27 (forall ((Y $$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 $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y)))))))))))) (let ((_let_28 (and _let_26 _let_27))) (let ((_let_29 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 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 $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y))))))))) (let ((_let_30 (not _let_29))) (let ((_let_31 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X)))))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_19 _let_32))) (let ((_let_34 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 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_35 (not _let_34))) (let ((_let_36 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 X)) (forall ((Y $$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_37 (or _let_36 _let_35))) (let ((_let_38 (and _let_37 _let_33))) (let ((_let_39 (or _let_21 _let_38 _let_30))) (let ((_let_40 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y)))))) (let ((_let_41 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_42 (not _let_41))) (let ((_let_43 (and _let_42 _let_40))) (let ((_let_44 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 Y)) (tptp.p2 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X))))))))) (let ((_let_45 (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 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 $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y)))))))))) _let_44))) (let ((_let_46 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 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 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (not (tptp.p2 X))))))))))) (let ((_let_47 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_48 _let_46 _let_45 _let_43))) (let ((_let_50 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 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_51 (or _let_48 _let_50))) (let ((_let_52 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X))) (not (tptp.p2 Y)))))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_48 _let_41 _let_53))) (let ((_let_55 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 X)) (forall ((Y $$unsorted)) (or (not 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X)))) (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_21 _let_19 _let_18 _let_122))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 1)) (CONG (REFL :args (_let_33)) (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_88)) :args ((or _let_31 _let_33))) (CNF_OR_NEG :args (_let_33 0)) :args ((or _let_21 _let_33 _let_122) true _let_17 false _let_31 true _let_19)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_121) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 X) false))))) :args _let_121)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 2)) (CONG _let_120 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_88)) :args ((or _let_29 _let_39))) (CNF_OR_NEG :args (_let_39 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 0)) (CONG _let_120 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_88)) :args ((or _let_20 _let_39))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_119)) :args _let_119)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_118) _let_27))) (REFL :args ((not _let_39))) :args _let_88)) (CNF_AND_NEG :args (_let_28)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_84 6)) _let_90 :args ((not _let_28) true _let_84)) (CNF_OR_NEG :args (_let_26 0)) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_117) (CONG (REFL :args _let_117) (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) (REFL :args (_let_116)) :args _let_88)) :args ((or _let_23 _let_25 _let_116))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_115) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y) false))))) :args _let_115)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_70 _let_68 _let_72))) _let_114 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_73 (= Y Y) (= X X) (= X X)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_70 _let_75 _let_74 (not _let_76)))) _let_114 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_92 1)) _let_113 :args ((not _let_75) true _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_91) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y) false))))) :args _let_91)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_84 7)) (CONG (REFL :args (_let_84)) (MACRO_SR_PRED_INTRO :args ((= (not _let_78) _let_77))) :args _let_88)) :args ((or _let_77 _let_84))) _let_90 :args (_let_77 true _let_84)) :args (_let_76 false _let_77)) :args (_let_74 false _let_69 true _let_75 false _let_76)) :args ((not _let_68) true _let_73)) :args (_let_72 false _let_69 true _let_68)) :args (_let_24 true _let_71)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_67) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y) false))))) :args _let_67)) (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_15 (= X X) (= Y Y) (= Y Y)))) :args (_let_66 true _let_52 false _let_40 true _let_41 false _let_43 true _let_46 true _let_65 true _let_64 true _let_63 false _let_61 true _let_45 false _let_55 true _let_57 false _let_58 true _let_44 true _let_60 true _let_50 false _let_47 false _let_54 true _let_51 false _let_34 true _let_36 true _let_37 false _let_33 false _let_49 false _let_29 true _let_38 false _let_20 true _let_39 true _let_27 true _let_28 false _let_26 false _let_25 true _let_23 false _let_22 false _let_16)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_111 (MACRO_RESOLUTION_TRUST _let_109 _let_107 (MACRO_RESOLUTION_TRUST _let_99 (MACRO_RESOLUTION_TRUST _let_98 _let_95 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_80 1)) (CONG (REFL :args (_let_80)) (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_15))) :args _let_88)) :args ((or _let_15 _let_80))) _let_131 :args (_let_80 true _let_15)) :args (_let_81 true _let_83 false _let_80)) :args (_let_4 false _let_81)) :args (_let_108 false _let_6 false _let_4)) (MACRO_RESOLUTION_TRUST _let_103 _let_100 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_12 1)) (CONG (REFL :args (_let_12)) (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) :args _let_88)) :args ((or _let_9 _let_12))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_15 (= X X) (= Y Y) (= Y Y)))) _let_131 :args (_let_10 true _let_15)) :args (_let_12 true _let_9)) :args (_let_3 true _let_14 false _let_12)) :args (false true _let_8 false _let_3)) :args (_let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 45.94/46.23  )
% 45.94/46.23  % SZS output end Proof for LCL660+1.001
% 45.94/46.23  % cvc5---1.0.5 exiting
% 45.94/46.23  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------