%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL640+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n026.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 07:02:35 EDT 2023

% Result   : Theorem 46.11s 46.40s
% Output   : Proof 46.11s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : LCL640+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12  % Command    : do_cvc5 %s %d
% 0.16/0.33  % Computer : n026.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit   : 300
% 0.16/0.33  % WCLimit    : 300
% 0.16/0.33  % DateTime   : Fri Aug 25 07:36:17 EDT 2023
% 0.16/0.33  % CPUTime    : 
% 0.17/0.44  %----Proving TF0_NAR, FOF, or CNF
% 46.11/46.40  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Tb5tbSz3Vl/cvc5---1.0.5_32560.p...
% 46.11/46.40  ------- get file name : TPTP file name is LCL640+1.005
% 46.11/46.40  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_32560.smt2...
% 46.11/46.40  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 46.11/46.40  --- Run --no-e-matching --full-saturate-quant at 5...
% 46.11/46.40  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 46.11/46.40  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 46.11/46.40  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 46.11/46.40  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 46.11/46.40  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 46.11/46.40  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 46.11/46.40  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 46.11/46.40  % SZS status Theorem for LCL640+1.005
% 46.11/46.40  % SZS output start Proof for LCL640+1.005
% 46.11/46.40  (
% 46.11/46.40  (let ((_let_1 (not (not (exists ((X $$unsorted)) (not (or (not (forall ((Y $$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)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (and (or (tptp.p1 X) (forall ((Y $$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 ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X))))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))))))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p1 Y))) (or (not (tptp.r1 X Y)) (and (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not _let_1) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X)) (not (forall ((Y $$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)) (tptp.p1 Y))) (not (tptp.p1 X)))) (not (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y))))))))))) (or _let_1 (forall ((X $$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 ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y))))))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$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 (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y)))))))))))))))))) (not (and (not (forall ((Y $$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)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y))))))))))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (and (or (tptp.p1 X) (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 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X))))))))) (forall ((Y $$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)) (tptp.p1 Y))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (and (or (tptp.p1 Y) (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 $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y))))))))) (forall ((X $$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)) (tptp.p1 X))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))))))))))))))) (let ((_let_2 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 X)) (tptp.p1 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y))))))))) (let ((_let_3 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y)))))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36))) (let ((_let_6 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36))) (let ((_let_7 (not _let_6))) (let ((_let_8 (or _let_7 _let_5 _let_4))) (let ((_let_9 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 Y)) (tptp.p1 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X))))))))) (let ((_let_10 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))) (let ((_let_11 (not _let_10))) (let ((_let_12 (or _let_11 _let_9))) (let ((_let_13 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X))))))))))) (let ((_let_14 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X)) (tptp.p1 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y))))))))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_13 _let_15))) (let ((_let_17 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X)) (forall ((Y $$unsorted)) (or (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)))))))) (let ((_let_18 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X)) (tptp.p1 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y))))))))) (let ((_let_19 (not _let_18))) (let ((_let_20 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))))) (let ((_let_21 (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_22 (or _let_21 _let_20 _let_19))) (let ((_let_23 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X)) (not (forall ((Y $$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)) (tptp.p1 Y))) (not (tptp.p1 X)))) (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))) (tptp.p1 Y))))))))) (let ((_let_24 (not _let_23))) (let ((_let_25 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y))))))))) (let ((_let_26 (not _let_21))) (let ((_let_27 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X)) (tptp.p1 X))))) (let ((_let_28 (or _let_27 _let_26 _let_25 _let_24))) (let ((_let_29 (and _let_28 _let_22 _let_17 _let_16))) (let ((_let_30 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_31 _let_29))) (let ((_let_33 (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p1 Y))) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y)) (and (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not _let_1) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (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 (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X)))) (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))) (tptp.p1 Y))))))))) (or _let_1 (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 $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y))))))))) (forall ((X $$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)) (tptp.p1 X))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y))))))))))))))) (let ((_let_34 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33))) (let ((_let_37 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X)) (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p1 Y))) (or (not (tptp.r1 X Y)) (and (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not _let_1) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (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 (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X)))) (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))) (tptp.p1 Y))))))))) (or _let_1 (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 $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y))))))))) (forall ((X $$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)) (tptp.p1 X))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y))))))))))))))))) (let ((_let_38 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_37))) (let ((_let_41 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p1 Y))) (or (not (tptp.r1 X Y)) (and (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not _let_1) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X)) (not (forall ((Y $$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)) (tptp.p1 Y))) (not (tptp.p1 X)))) (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))) (tptp.p1 Y))))))))) (or _let_1 (forall ((X $$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 ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y))))))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) 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(REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_70 3)) (CONG _let_75 (MACRO_SR_PRED_INTRO :args ((= (not _let_67) _let_66))) :args _let_48)) :args ((or _let_66 _let_70))) _let_74 :args (_let_66 true _let_70)))) (let ((_let_79 (_let_13))) (let ((_let_80 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X)))) (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))) (tptp.p1 Y)))))) (let ((_let_81 (not _let_80))) (let ((_let_82 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 Y)) (tptp.p1 Y))))) (let ((_let_83 (or _let_11 _let_82 (not (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35)) _let_81))) (let ((_let_84 (not _let_83))) (let ((_let_85 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y)))))) (let ((_let_86 (not _let_85))) (let ((_let_87 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_88 (not _let_87))) (let ((_let_89 (or _let_88 _let_86))) (let ((_let_90 (not _let_89))) (let ((_let_91 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y)))))) (let ((_let_92 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 X)) (tptp.p1 X))))) (let ((_let_93 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_94 (not _let_93))) (let ((_let_95 (or _let_94 _let_92 (not (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))))) (let ((_let_96 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 X)) (tptp.p1 X))))) (let ((_let_97 (or _let_94 _let_96))) (let ((_let_98 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))) (let ((_let_99 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Y)) (tptp.p1 Y))))) (let ((_let_100 (not _let_99))) (let ((_let_101 (or _let_88 _let_98 _let_100))) (let ((_let_102 (_let_17))) (let ((_let_103 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Y)) (tptp.p1 Y))))) (let ((_let_104 (not _let_103))) (let ((_let_105 (or _let_88 _let_104))) (let ((_let_106 (not _let_105))) (let ((_let_107 (not _let_68))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_70 2)) _let_74 :args (_let_107 true _let_70)))) (let ((_let_109 (_let_107))) (let ((_let_110 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_109)) :args _let_109)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_107) _let_68))) (REFL :args (_let_106)) :args _let_48)) _let_108 :args (_let_106 true _let_68)))) (let ((_let_111 (REFL :args (_let_105)))) (let ((_let_112 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_105 0)) (CONG _let_111 (MACRO_SR_PRED_INTRO :args ((= (not _let_88) _let_87))) :args _let_48)) :args ((or _let_87 _let_105))) _let_110 :args (_let_87 true _let_105)))) (let ((_let_113 (_let_98))) (let ((_let_114 (not _let_91))) (let ((_let_115 (_let_114))) (let ((_let_116 (_let_25))) (let ((_let_117 (_let_24))) (let ((_let_118 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_117)) :args _let_117)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) (REFL :args (_let_84)) :args _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_27 _let_26 _let_25 _let_24 (not _let_28)))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_69 (= X X)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_70 1)) _let_74 :args ((not _let_69) true _let_70)) :args ((not _let_27) true _let_69)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_21 _let_20 _let_19 (not _let_22)))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_68 (= Y Y) (= X X)))) _let_108 :args ((not _let_20) true _let_68)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_66 (= Y Y) (= X X) (= X X)))) _let_78 :args (_let_18 false _let_66)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_29 1)) :args ((or _let_22 _let_77))) _let_76 :args (_let_22 false _let_29)) :args (_let_21 true _let_20 false _let_18 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_116) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X) false))))) :args _let_116)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_88 _let_86 _let_90))) _let_112 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_91 (= X X) (= Y Y)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_115)) :args _let_115)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_114) _let_91))) (REFL :args ((not _let_95))) :args _let_48)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_92 (= X X)))) (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_94 _let_96 (not _let_97)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_113) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_CBQI_PROP)) :args _let_113)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_101)) :args ((or _let_88 _let_98 _let_100 (not _let_101)))) _let_112 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_103 (= Y Y)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_105 1)) (CONG _let_111 (MACRO_SR_PRED_INTRO :args ((= (not _let_104) _let_103))) :args _let_48)) :args ((or _let_103 _let_105))) _let_110 :args (_let_103 true _let_105)) :args (_let_99 false _let_103)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_102) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X) false))))) :args _let_102)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_29 2)) :args ((or _let_17 _let_77))) _let_76 :args (_let_17 false _let_29)) :args (_let_101 false _let_17)) :args (_let_98 false _let_87 false _let_99 false _let_101)) :args (_let_97 false _let_98)) (CNF_OR_NEG :args (_let_95 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_95 0)) (CONG (REFL :args (_let_95)) (MACRO_SR_PRED_INTRO :args ((= (not _let_94) _let_93))) :args _let_48)) :args ((or _let_93 _let_95))) :args (_let_95 false _let_96 false _let_97 true _let_92 false _let_93)) :args (_let_91 false _let_95)) :args (_let_85 false _let_91)) :args (_let_90 false _let_87 false _let_85)) :args ((not _let_25) true _let_89)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_29 0)) :args ((or _let_28 _let_77))) _let_76 :args (_let_28 false _let_29)) :args (_let_24 true _let_27 false _let_21 true _let_25 false _let_28)) :args (_let_84 true _let_23)))) (let ((_let_119 (REFL :args (_let_83)))) (let ((_let_120 (not _let_8))) (let ((_let_121 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y)))))) (let ((_let_122 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X)))))) (let ((_let_123 (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 X)) (tptp.p1 X)))) _let_5))) (let ((_let_124 (or _let_7 _let_122 _let_123))) (let ((_let_125 (_let_80))) (let ((_let_126 (not _let_123))) (let ((_let_127 (or _let_7 _let_5))) (let ((_let_128 (not _let_127))) (let ((_let_129 (not _let_82))) (let ((_let_130 (_let_129))) (let ((_let_131 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_130)) :args _let_130)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_129) _let_82))) (REFL :args (_let_128)) :args _let_48)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_83 1)) _let_118 :args (_let_129 true _let_83)) :args (_let_128 true _let_82)))) (let ((_let_132 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_127 1)) _let_131 :args ((not _let_5) true _let_127)))) (let ((_let_133 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_127 0)) (CONG (REFL :args (_let_127)) (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_6))) :args _let_48)) :args ((or _let_6 _let_127))) _let_131 :args (_let_6 true _let_127)))) (let ((_let_134 (_let_2))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_134) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 X) false))))) :args _let_134)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_8)) :args ((or _let_7 _let_5 _let_4 _let_120))) _let_133 _let_132 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_121 (= X X) (= Y Y)))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_121 (= X Y) (= Y X)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_124)) :args ((or _let_7 _let_122 _let_123 (not _let_124)))) _let_133 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_123 1)) :args ((or _let_5 _let_126))) _let_132 :args (_let_126 true _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_125) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 Y) false))))) :args _let_125)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_83 3)) (CONG _let_119 (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_80))) :args _let_48)) :args ((or _let_80 _let_83))) _let_118 :args (_let_80 true _let_83)) :args (_let_124 false _let_80)) :args (_let_122 false _let_6 true _let_123 false _let_124)) :args (_let_121 false _let_122)) :args (_let_3 false _let_121)) :args (_let_120 false _let_6 true _let_5 false _let_3)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_2 (= Y X) (= X Y) (= X Y)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_12)) :args ((or _let_11 _let_9 (not _let_12)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_83 0)) (CONG _let_119 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_48)) :args ((or _let_10 _let_83))) _let_118 :args (_let_10 true _let_83)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_79) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X) false))))) :args _let_79)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_13 _let_15 (not _let_16)))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_66 (= Y Y) (= X X) (= X X)))) _let_78 :args (_let_14 false _let_66)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_29 3)) :args ((or _let_16 _let_77))) _let_76 :args (_let_16 false _let_29)) :args (_let_13 false _let_14 false _let_16)) :args (_let_12 false _let_13)) :args (_let_9 false _let_10 false _let_12)) :args (_let_2 false _let_9)) :args (false true _let_8 false _let_2)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 46.11/46.41  )
% 46.11/46.41  % SZS output end Proof for LCL640+1.005
% 46.11/46.41  % cvc5---1.0.5 exiting
% 46.11/46.41  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------