%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL658+1.010 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n003.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 07:02:51 EDT 2023

% Result   : Theorem 48.13s 48.39s
% Output   : Proof 48.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : LCL658+1.010 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n003.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri Aug 25 02:40:08 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 48.13/48.39  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.SkOhFCri3N/cvc5---1.0.5_14458.p...
% 48.13/48.39  ------- get file name : TPTP file name is LCL658+1.010
% 48.13/48.39  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_14458.smt2...
% 48.13/48.39  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 48.13/48.39  --- Run --no-e-matching --full-saturate-quant at 5...
% 48.13/48.39  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 48.13/48.39  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 48.13/48.39  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 48.13/48.39  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 48.13/48.39  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 48.13/48.39  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 48.13/48.39  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 48.13/48.39  % SZS status Theorem for LCL658+1.010
% 48.13/48.39  % SZS output start Proof for LCL658+1.010
% 48.13/48.39  (
% 48.13/48.39  (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 $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$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 $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$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)) (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 $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$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 $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))))))))))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$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)) (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 $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (let ((_let_1 (tptp.p1 X))) (or (not (tptp.r1 Y X)) (and (or (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not _let_1) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (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 (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y)))) (not (or (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X))))))))))) (or _let_1 (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 $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))) (or (forall ((Y $$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)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y))))))))) (not (forall ((Y $$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 (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)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (forall ((Y $$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 $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$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)) (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 $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$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)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))))))))) (forall ((Y $$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 $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$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)) (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)))))))) (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))))))))))))))) (let ((_let_2 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_78 Y)) (tptp.p1 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X))))))))) (let ((_let_3 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_79 X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X)))))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_79))) (let ((_let_6 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_78 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_79))) (let ((_let_7 (not _let_6))) (let ((_let_8 (or _let_7 _let_5 _let_4))) (let ((_let_9 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_78 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_10 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_78))) (let ((_let_11 (not _let_10))) (let ((_let_12 (or _let_11 _let_9))) (let ((_let_13 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Y)) (forall ((X $$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_14 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Y)) (tptp.p1 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X))))))))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_13 _let_15))) (let ((_let_17 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 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_18 (not _let_17))) (let ((_let_19 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))))) (let ((_let_20 (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_21 (or _let_20 _let_19 _let_18))) (let ((_let_22 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Y)) (forall ((X $$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)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y)))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))) (tptp.p1 X))))))))) (let ((_let_23 (not _let_22))) (let ((_let_24 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X))))))))) (let ((_let_25 (not _let_20))) (let ((_let_26 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Y)) (tptp.p1 Y))))) (let ((_let_27 (or _let_26 _let_25 _let_24 _let_23))) (let ((_let_28 (and _let_27 _let_21 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Y)) (forall ((X $$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)))))) _let_16))) (let ((_let_29 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_28))) (let ((_let_32 (forall ((X $$unsorted)) (let ((_let_1 (tptp.p1 X))) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 X)) (and (or (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not _let_1) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y)) (not (forall ((X $$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 (tptp.p1 Y)))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))) (tptp.p1 X))))))))) (or _let_1 (forall ((Y $$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)))))) (or (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (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 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X))))))))))))))) (let ((_let_33 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_32))) (let ((_let_36 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 Y)) (forall ((X $$unsorted)) (let ((_let_1 (tptp.p1 X))) (or (not (tptp.r1 Y X)) (and (or (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not _let_1) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y)) (not (forall ((X $$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 (tptp.p1 Y)))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))) (tptp.p1 X))))))))) (or _let_1 (forall ((Y $$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)))))) (or (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (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 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not 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(let ((_let_184 (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_79 Y)) (tptp.p1 Y)))) _let_5))) (let ((_let_185 (or _let_7 _let_183 _let_184))) (let ((_let_186 (_let_121))) (let ((_let_187 (not _let_184))) (let ((_let_188 (or _let_7 _let_5))) (let ((_let_189 (not _let_188))) (let ((_let_190 (not _let_123))) (let ((_let_191 (_let_190))) (let ((_let_192 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_191)) :args _let_191)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_190) _let_123))) (REFL :args (_let_189)) :args _let_61)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_124 1)) _let_179 :args (_let_190 true _let_124)) :args (_let_189 true _let_123)))) (let ((_let_193 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_188 1)) _let_192 :args ((not _let_5) true _let_188)))) (let ((_let_194 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_188 0)) (CONG (REFL :args (_let_188)) (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_6))) :args _let_61)) :args ((or _let_6 _let_188))) _let_192 :args (_let_6 true _let_188)))) (let ((_let_195 (_let_2))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_195) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_79 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_78 Y) false))))) :args _let_195)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_8)) :args ((or _let_7 _let_5 _let_4 _let_181))) _let_194 _let_193 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_182 _let_176 _let_177))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_182 (= Y X) (= X Y)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_185)) :args ((or _let_7 _let_183 _let_184 (not _let_185)))) _let_194 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_184 1)) :args ((or _let_5 _let_187))) _let_193 :args (_let_187 true _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_186) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_79 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_78 X) false))))) :args _let_186)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_124 3)) (CONG _let_180 (MACRO_SR_PRED_INTRO :args ((= (not _let_122) _let_121))) :args _let_61)) :args ((or _let_121 _let_124))) _let_179 :args (_let_121 true _let_124)) :args (_let_185 false _let_121)) :args (_let_183 false _let_6 true _let_184 false _let_185)) :args (_let_182 false _let_183)) :args (_let_3 false _let_182)) :args (_let_181 false _let_6 true _let_5 false _let_3)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_2 (= X Y) (= Y X) (= Y X)))) (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_124 0)) (CONG _let_180 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_61)) :args ((or _let_10 _let_124))) _let_179 :args (_let_10 true _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_120) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_78 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Y) false))))) :args _let_120)) (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_106 (= X X) (= Y Y) (= Y Y)))) _let_119 :args (_let_14 false _let_106)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_28 3)) :args ((or _let_16 _let_118))) _let_117 :args (_let_16 false _let_28)) :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 ((forall ((X $$unsorted)) (tptp.r1 X X)) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 48.23/48.41  )
% 48.23/48.41  % SZS output end Proof for LCL658+1.010
% 48.23/48.41  % cvc5---1.0.5 exiting
% 48.23/48.42  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------