%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL686+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 07:03:15 EDT 2023

% Result   : Theorem 10.79s 10.99s
% Output   : Proof 10.79s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : LCL686+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.16/0.37  % Computer : n012.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Fri Aug 25 05:20:11 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.23/0.53  %----Proving TF0_NAR, FOF, or CNF
% 10.79/10.99  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.OqtV2dX1Rx/cvc5---1.0.5_9629.p...
% 10.79/10.99  ------- get file name : TPTP file name is LCL686+1.005
% 10.79/10.99  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_9629.smt2...
% 10.79/10.99  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.79/10.99  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.79/10.99  % SZS status Theorem for LCL686+1.005
% 10.79/10.99  % SZS output start Proof for LCL686+1.005
% 10.79/10.99  (
% 10.79/10.99  (let ((_let_1 (not (not (exists ((X $$unsorted)) (not (or (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p15 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p1 X)))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (or (forall ((Y $$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)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) false)) (not (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p13 Y))) (let ((_let_2 (tptp.p14 Y))) (or (not (tptp.r1 X Y)) (not (or (and _let_2 (not _let_1)) (and (not _let_2) _let_1)))))))))) (not (forall ((X $$unsorted)) (let ((_let_1 (tptp.p12 X))) (let ((_let_2 (tptp.p13 X))) (or (not (tptp.r1 Y X)) (not (or (and _let_2 (not _let_1)) (and (not _let_2) _let_1)))))))))) (not (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p11 Y))) (let ((_let_2 (tptp.p12 Y))) (or (not (tptp.r1 X Y)) (not (or (and _let_2 (not _let_1)) (and (not _let_2) _let_1)))))))))) (not (forall ((X $$unsorted)) (let ((_let_1 (tptp.p10 X))) (let ((_let_2 (tptp.p11 X))) (or (not (tptp.r1 Y X)) (not (or (and _let_2 (not _let_1)) (and (not _let_2) _let_1)))))))))) (not (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p9 Y))) (let ((_let_2 (tptp.p10 Y))) (or (not (tptp.r1 X Y)) (not (or (and _let_2 (not _let_1)) (and (not _let_2) _let_1)))))))))) (not (forall ((X $$unsorted)) (let ((_let_1 (tptp.p8 X))) (let ((_let_2 (tptp.p9 X))) (or (not (tptp.r1 Y X)) (not (or (and _let_2 (not _let_1)) (and (not _let_2) _let_1)))))))))) (not (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p7 Y))) (let ((_let_2 (tptp.p8 Y))) (or (not (tptp.r1 X Y)) (not (or (and _let_2 (not _let_1)) (and (not _let_2) _let_1)))))))))) (not (forall ((X $$unsorted)) (let ((_let_1 (tptp.p6 X))) (let ((_let_2 (tptp.p7 X))) (or (not (tptp.r1 Y X)) (not (or (and _let_2 (not _let_1)) (and (not _let_2) _let_1)))))))))) (not (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p5 Y))) (let ((_let_2 (tptp.p6 Y))) (or (not (tptp.r1 X Y)) (not (or (and _let_2 (not _let_1)) (and (not _let_2) _let_1)))))))))) (not (forall ((X $$unsorted)) (let ((_let_1 (tptp.p4 X))) (let ((_let_2 (tptp.p5 X))) (or (not (tptp.r1 Y X)) (not (or (and _let_2 (not _let_1)) (and (not _let_2) _let_1)))))))))) (not (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p3 Y))) (let ((_let_2 (tptp.p4 Y))) (or (not (tptp.r1 X Y)) (not (or (and _let_2 (not _let_1)) (and (not _let_2) _let_1)))))))))) (not (forall ((X $$unsorted)) (let ((_let_1 (tptp.p2 X))) (let ((_let_2 (tptp.p3 X))) (or (not (tptp.r1 Y X)) (not (or (and _let_2 (not _let_1)) (and (not _let_2) _let_1)))))))))) (not (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p1 Y))) (let ((_let_2 (tptp.p2 Y))) (or (not (tptp.r1 X Y)) (not (or (and _let_2 (not _let_1)) (and (not _let_2) _let_1)))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p15 Y))) (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p1 Y))) (let ((_let_2 (tptp.p2 Y))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.p3 Y))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.p4 Y))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.p5 Y))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.p6 Y))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.p7 Y))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.p8 Y))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.p9 Y))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.p10 Y))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.p11 Y))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.p12 Y))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.p13 Y))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.p14 Y))) (or (not (tptp.r1 X Y)) (and _let_25 (not _let_26)) (and _let_26 _let_24) (and _let_23 _let_25) (and _let_24 _let_22) (and _let_21 _let_23) (and _let_22 _let_20) (and _let_19 _let_21) (and _let_20 _let_18) (and _let_17 _let_19) (and _let_18 _let_16) (and _let_15 _let_17) (and _let_16 _let_14) (and _let_13 _let_15) (and _let_14 _let_12) (and _let_11 _let_13) (and _let_12 _let_10) (and _let_9 _let_11) (and _let_10 _let_8) (and _let_7 _let_9) (and _let_8 _let_6) (and _let_5 _let_7) (and _let_6 _let_4) (and _let_3 _let_5) (and _let_4 _let_2) (and (not _let_1) _let_3) (and _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))) (let ((_let_2 (forall ((X $$unsorted)) (tptp.r1 X X)))) (let ((_let_3 (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_4 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_5 (not _let_4))) (let ((_let_6 (or _let_5 _let_3))) (let ((_let_7 (not _let_3))) (let ((_let_8 (or _let_4 _let_7))) (let ((_let_9 (and _let_6 _let_8))) (let ((_let_10 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_11 (not _let_10))) (let ((_let_12 (or _let_11 _let_9))) (let ((_let_13 (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p1 Y))) (let ((_let_2 (tptp.p2 Y))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.p3 Y))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.p4 Y))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.p5 Y))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.p6 Y))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.p7 Y))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.p8 Y))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.p9 Y))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.p10 Y))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.p11 Y))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.p12 Y))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.p13 Y))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.p14 Y))) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y)) (and _let_25 (not _let_26)) (and _let_26 _let_24) (and _let_23 _let_25) (and _let_24 _let_22) (and _let_21 _let_23) (and _let_22 _let_20) (and _let_19 _let_21) (and _let_20 _let_18) (and _let_17 _let_19) (and _let_18 _let_16) (and _let_15 _let_17) (and _let_16 _let_14) (and _let_13 _let_15) (and _let_14 _let_12) (and _let_11 _let_13) (and _let_12 _let_10) (and _let_9 _let_11) (and _let_10 _let_8) (and _let_7 _let_9) (and _let_8 _let_6) (and _let_5 _let_7) (and _let_6 _let_4) (and _let_3 _let_5) (and _let_4 _let_2) (and (not _let_1) _let_3) (and _let_2 _let_1))))))))))))))))))))))))))))))) (let ((_let_14 (not _let_13))) (let ((_let_15 (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y)) (tptp.p15 Y)))))) (let ((_let_16 (not (forall ((Y $$unsorted) (BOUND_VARIABLE_1747 $$unsorted) (BOUND_VARIABLE_1745 $$unsorted) (BOUND_VARIABLE_1743 $$unsorted) (BOUND_VARIABLE_1741 $$unsorted) (BOUND_VARIABLE_1739 $$unsorted) (BOUND_VARIABLE_1737 $$unsorted) (BOUND_VARIABLE_1735 $$unsorted) (BOUND_VARIABLE_1733 $$unsorted) (BOUND_VARIABLE_1731 $$unsorted) (BOUND_VARIABLE_1729 $$unsorted) (BOUND_VARIABLE_1727 $$unsorted) (BOUND_VARIABLE_1725 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y)) (not (forall ((X $$unsorted)) (let ((_let_1 (tptp.p2 X))) (let ((_let_2 (tptp.p3 X))) (or (not (tptp.r1 Y X)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))))) (not (tptp.r1 Y BOUND_VARIABLE_1725)) (not (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p3 Y))) (let ((_let_2 (tptp.p4 Y))) (or (not (tptp.r1 BOUND_VARIABLE_1725 Y)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))))) (not (tptp.r1 BOUND_VARIABLE_1725 BOUND_VARIABLE_1747)) (not (forall ((X $$unsorted)) (let ((_let_1 (tptp.p4 X))) (let ((_let_2 (tptp.p5 X))) (or (not (tptp.r1 BOUND_VARIABLE_1747 X)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))))) (not (tptp.r1 BOUND_VARIABLE_1747 BOUND_VARIABLE_1727)) (not (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p5 Y))) (let ((_let_2 (tptp.p6 Y))) (or (not (tptp.r1 BOUND_VARIABLE_1727 Y)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))))) (not (tptp.r1 BOUND_VARIABLE_1727 BOUND_VARIABLE_1745)) (not (forall ((X $$unsorted)) (let ((_let_1 (tptp.p6 X))) (let ((_let_2 (tptp.p7 X))) (or (not (tptp.r1 BOUND_VARIABLE_1745 X)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))))) (not (tptp.r1 BOUND_VARIABLE_1745 BOUND_VARIABLE_1729)) (not (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p7 Y))) (let ((_let_2 (tptp.p8 Y))) (or (not (tptp.r1 BOUND_VARIABLE_1729 Y)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))))) (not (tptp.r1 BOUND_VARIABLE_1729 BOUND_VARIABLE_1743)) (not (forall ((X $$unsorted)) (let ((_let_1 (tptp.p8 X))) (let ((_let_2 (tptp.p9 X))) (or (not (tptp.r1 BOUND_VARIABLE_1743 X)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))))) (not (tptp.r1 BOUND_VARIABLE_1743 BOUND_VARIABLE_1731)) (not (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p9 Y))) (let ((_let_2 (tptp.p10 Y))) (or (not (tptp.r1 BOUND_VARIABLE_1731 Y)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))))) (not (tptp.r1 BOUND_VARIABLE_1731 BOUND_VARIABLE_1741)) (not (forall ((X $$unsorted)) (let ((_let_1 (tptp.p10 X))) (let ((_let_2 (tptp.p11 X))) (or (not (tptp.r1 BOUND_VARIABLE_1741 X)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))))) (not (tptp.r1 BOUND_VARIABLE_1741 BOUND_VARIABLE_1733)) (not (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p11 Y))) (let ((_let_2 (tptp.p12 Y))) (or (not (tptp.r1 BOUND_VARIABLE_1733 Y)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))))) (not (tptp.r1 BOUND_VARIABLE_1733 BOUND_VARIABLE_1739)) (not (forall ((X $$unsorted)) (let ((_let_1 (tptp.p12 X))) (let ((_let_2 (tptp.p13 X))) (or (not (tptp.r1 BOUND_VARIABLE_1739 X)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))))) (not (tptp.r1 BOUND_VARIABLE_1739 BOUND_VARIABLE_1735)) (not (tptp.r1 BOUND_VARIABLE_1735 BOUND_VARIABLE_1737)) (not (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p13 Y))) (let ((_let_2 (tptp.p14 Y))) (or (not (tptp.r1 BOUND_VARIABLE_1735 Y)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1))))))))))))) (let ((_let_17 (and _let_16 _let_12 _let_15 _let_14))) (let ((_let_18 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_17))) (let ((_let_21 (forall ((X $$unsorted) (BOUND_VARIABLE_1852 $$unsorted)) (let ((_let_1 (tptp.p1 BOUND_VARIABLE_1852))) (let ((_let_2 (tptp.p2 BOUND_VARIABLE_1852))) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 X)) (and (not (forall ((Y $$unsorted) (BOUND_VARIABLE_1747 $$unsorted) (BOUND_VARIABLE_1745 $$unsorted) (BOUND_VARIABLE_1743 $$unsorted) (BOUND_VARIABLE_1741 $$unsorted) (BOUND_VARIABLE_1739 $$unsorted) (BOUND_VARIABLE_1737 $$unsorted) (BOUND_VARIABLE_1735 $$unsorted) (BOUND_VARIABLE_1733 $$unsorted) (BOUND_VARIABLE_1731 $$unsorted) (BOUND_VARIABLE_1729 $$unsorted) (BOUND_VARIABLE_1727 $$unsorted) (BOUND_VARIABLE_1725 $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (let ((_let_1 (tptp.p2 X))) (let ((_let_2 (tptp.p3 X))) (or (not (tptp.r1 Y X)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))))) (not (tptp.r1 Y BOUND_VARIABLE_1725)) (not (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p3 Y))) (let ((_let_2 (tptp.p4 Y))) (or (not (tptp.r1 BOUND_VARIABLE_1725 Y)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))))) (not (tptp.r1 BOUND_VARIABLE_1725 BOUND_VARIABLE_1747)) (not (forall ((X $$unsorted)) (let ((_let_1 (tptp.p4 X))) (let ((_let_2 (tptp.p5 X))) (or (not (tptp.r1 BOUND_VARIABLE_1747 X)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))))) (not (tptp.r1 BOUND_VARIABLE_1747 BOUND_VARIABLE_1727)) (not (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p5 Y))) (let ((_let_2 (tptp.p6 Y))) (or (not (tptp.r1 BOUND_VARIABLE_1727 Y)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))))) (not (tptp.r1 BOUND_VARIABLE_1727 BOUND_VARIABLE_1745)) (not (forall ((X $$unsorted)) (let ((_let_1 (tptp.p6 X))) (let ((_let_2 (tptp.p7 X))) (or (not (tptp.r1 BOUND_VARIABLE_1745 X)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))))) (not (tptp.r1 BOUND_VARIABLE_1745 BOUND_VARIABLE_1729)) (not (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p7 Y))) (let ((_let_2 (tptp.p8 Y))) (or (not (tptp.r1 BOUND_VARIABLE_1729 Y)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))))) (not (tptp.r1 BOUND_VARIABLE_1729 BOUND_VARIABLE_1743)) (not (forall ((X $$unsorted)) (let ((_let_1 (tptp.p8 X))) (let ((_let_2 (tptp.p9 X))) (or (not (tptp.r1 BOUND_VARIABLE_1743 X)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))))) (not (tptp.r1 BOUND_VARIABLE_1743 BOUND_VARIABLE_1731)) (not (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p9 Y))) (let ((_let_2 (tptp.p10 Y))) (or (not (tptp.r1 BOUND_VARIABLE_1731 Y)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))))) (not (tptp.r1 BOUND_VARIABLE_1731 BOUND_VARIABLE_1741)) (not (forall ((X $$unsorted)) (let ((_let_1 (tptp.p10 X))) (let ((_let_2 (tptp.p11 X))) (or (not (tptp.r1 BOUND_VARIABLE_1741 X)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))))) (not (tptp.r1 BOUND_VARIABLE_1741 BOUND_VARIABLE_1733)) (not (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p11 Y))) (let ((_let_2 (tptp.p12 Y))) (or (not (tptp.r1 BOUND_VARIABLE_1733 Y)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))))) (not (tptp.r1 BOUND_VARIABLE_1733 BOUND_VARIABLE_1739)) (not (forall ((X $$unsorted)) (let ((_let_1 (tptp.p12 X))) (let ((_let_2 (tptp.p13 X))) (or (not (tptp.r1 BOUND_VARIABLE_1739 X)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))))) (not (tptp.r1 BOUND_VARIABLE_1739 BOUND_VARIABLE_1735)) (not (tptp.r1 BOUND_VARIABLE_1735 BOUND_VARIABLE_1737)) (not (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p13 Y))) (let ((_let_2 (tptp.p14 Y))) (or (not (tptp.r1 BOUND_VARIABLE_1735 Y)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1))))))))))) (or (not (tptp.r1 X BOUND_VARIABLE_1852)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p15 Y)))) (not (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p1 Y))) (let ((_let_2 (tptp.p2 Y))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.p3 Y))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.p4 Y))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.p5 Y))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.p6 Y))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.p7 Y))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.p8 Y))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.p9 Y))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.p10 Y))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.p11 Y))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.p12 Y))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.p13 Y))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.p14 Y))) (or (not (tptp.r1 X Y)) (and _let_25 (not _let_26)) (and _let_26 _let_24) (and _let_23 _let_25) (and _let_24 _let_22) (and _let_21 _let_23) (and _let_22 _let_20) (and _let_19 _let_21) (and _let_20 _let_18) (and _let_17 _let_19) (and _let_18 _let_16) (and _let_15 _let_17) (and _let_16 _let_14) (and _let_13 _let_15) (and _let_14 _let_12) (and _let_11 _let_13) (and _let_12 _let_10) (and _let_9 _let_11) (and _let_10 _let_8) (and _let_7 _let_9) (and _let_8 _let_6) (and _let_5 _let_7) (and _let_6 _let_4) (and _let_3 _let_5) (and _let_4 _let_2) (and (not _let_1) _let_3) (and _let_2 _let_1))))))))))))))))))))))))))))))))))))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (not (tptp.p15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) _let_22))) (let ((_let_24 (forall ((X $$unsorted) (BOUND_VARIABLE_1878 $$unsorted) (BOUND_VARIABLE_1889 $$unsorted) (BOUND_VARIABLE_1876 $$unsorted)) (or (not (tptp.r1 X BOUND_VARIABLE_1876)) (not (tptp.p15 BOUND_VARIABLE_1876)) (not (tptp.r1 BOUND_VARIABLE_1876 BOUND_VARIABLE_1878)) (not (tptp.p1 BOUND_VARIABLE_1878)) (not (tptp.r1 X BOUND_VARIABLE_1889)) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1852 $$unsorted)) (let ((_let_1 (tptp.p1 BOUND_VARIABLE_1852))) (let ((_let_2 (tptp.p2 BOUND_VARIABLE_1852))) (or (not (tptp.r1 BOUND_VARIABLE_1889 X)) (and (not (forall ((Y $$unsorted) (BOUND_VARIABLE_1747 $$unsorted) (BOUND_VARIABLE_1745 $$unsorted) (BOUND_VARIABLE_1743 $$unsorted) (BOUND_VARIABLE_1741 $$unsorted) (BOUND_VARIABLE_1739 $$unsorted) (BOUND_VARIABLE_1737 $$unsorted) (BOUND_VARIABLE_1735 $$unsorted) (BOUND_VARIABLE_1733 $$unsorted) (BOUND_VARIABLE_1731 $$unsorted) (BOUND_VARIABLE_1729 $$unsorted) (BOUND_VARIABLE_1727 $$unsorted) (BOUND_VARIABLE_1725 $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (let ((_let_1 (tptp.p2 X))) (let ((_let_2 (tptp.p3 X))) (or (not (tptp.r1 Y X)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))))) (not (tptp.r1 Y BOUND_VARIABLE_1725)) (not (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p3 Y))) (let ((_let_2 (tptp.p4 Y))) (or (not (tptp.r1 BOUND_VARIABLE_1725 Y)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))))) (not (tptp.r1 BOUND_VARIABLE_1725 BOUND_VARIABLE_1747)) (not (forall ((X $$unsorted)) (let ((_let_1 (tptp.p4 X))) (let ((_let_2 (tptp.p5 X))) (or (not (tptp.r1 BOUND_VARIABLE_1747 X)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))))) (not (tptp.r1 BOUND_VARIABLE_1747 BOUND_VARIABLE_1727)) (not (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p5 Y))) (let ((_let_2 (tptp.p6 Y))) (or (not (tptp.r1 BOUND_VARIABLE_1727 Y)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))))) (not (tptp.r1 BOUND_VARIABLE_1727 BOUND_VARIABLE_1745)) (not (forall ((X $$unsorted)) (let ((_let_1 (tptp.p6 X))) (let ((_let_2 (tptp.p7 X))) (or (not (tptp.r1 BOUND_VARIABLE_1745 X)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))))) (not (tptp.r1 BOUND_VARIABLE_1745 BOUND_VARIABLE_1729)) (not (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p7 Y))) (let ((_let_2 (tptp.p8 Y))) (or (not (tptp.r1 BOUND_VARIABLE_1729 Y)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))))) (not (tptp.r1 BOUND_VARIABLE_1729 BOUND_VARIABLE_1743)) (not (forall ((X $$unsorted)) (let ((_let_1 (tptp.p8 X))) (let ((_let_2 (tptp.p9 X))) (or (not (tptp.r1 BOUND_VARIABLE_1743 X)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))))) (not (tptp.r1 BOUND_VARIABLE_1743 BOUND_VARIABLE_1731)) (not (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p9 Y))) (let ((_let_2 (tptp.p10 Y))) (or (not (tptp.r1 BOUND_VARIABLE_1731 Y)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))))) (not (tptp.r1 BOUND_VARIABLE_1731 BOUND_VARIABLE_1741)) (not (forall ((X $$unsorted)) (let ((_let_1 (tptp.p10 X))) (let ((_let_2 (tptp.p11 X))) (or (not (tptp.r1 BOUND_VARIABLE_1741 X)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))))) (not (tptp.r1 BOUND_VARIABLE_1741 BOUND_VARIABLE_1733)) (not (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p11 Y))) (let ((_let_2 (tptp.p12 Y))) (or (not (tptp.r1 BOUND_VARIABLE_1733 Y)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))))) (not (tptp.r1 BOUND_VARIABLE_1733 BOUND_VARIABLE_1739)) (not (forall ((X $$unsorted)) (let ((_let_1 (tptp.p12 X))) (let ((_let_2 (tptp.p13 X))) (or (not (tptp.r1 BOUND_VARIABLE_1739 X)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))))) (not (tptp.r1 BOUND_VARIABLE_1739 BOUND_VARIABLE_1735)) (not (tptp.r1 BOUND_VARIABLE_1735 BOUND_VARIABLE_1737)) (not (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p13 Y))) (let ((_let_2 (tptp.p14 Y))) (or (not (tptp.r1 BOUND_VARIABLE_1735 Y)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1))))))))))) (or (not (tptp.r1 X BOUND_VARIABLE_1852)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p15 Y)))) (not (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p1 Y))) (let ((_let_2 (tptp.p2 Y))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.p3 Y))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.p4 Y))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.p5 Y))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.p6 Y))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.p7 Y))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.p8 Y))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.p9 Y))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.p10 Y))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.p11 Y))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.p12 Y))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.p13 Y))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.p14 Y))) (or (not (tptp.r1 X Y)) (and _let_25 (not _let_26)) (and _let_26 _let_24) (and _let_23 _let_25) (and _let_24 _let_22) (and _let_21 _let_23) (and _let_22 _let_20) (and _let_19 _let_21) (and _let_20 _let_18) (and _let_17 _let_19) (and _let_18 _let_16) (and _let_15 _let_17) (and _let_16 _let_14) (and _let_13 _let_15) (and _let_14 _let_12) (and _let_11 _let_13) (and _let_12 _let_10) (and _let_9 _let_11) (and _let_10 _let_8) (and _let_7 _let_9) (and _let_8 _let_6) (and _let_5 _let_7) (and _let_6 _let_4) (and _let_3 _let_5) (and _let_4 _let_2) (and (not _let_1) _let_3) (and _let_2 _let_1)))))))))))))))))))))))))))))))))))))))) (let ((_let_25 (not _let_23))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (or))) (let ((_let_28 (not _let_24))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 5)) (CONG (REFL :args (_let_23)) (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_27)) :args ((or _let_21 _let_23))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_26) :args (_let_28))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_24))) (REFL :args (_let_25)) :args _let_27)) _let_26 :args (_let_25 true _let_24)) :args (_let_21 true _let_23)))) (let ((_let_30 (_let_21))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 (_let_2))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM)) :args _let_32)) _let_33 :args (_let_18 false _let_2)))) (let ((_let_35 (and _let_4 _let_3))) (let ((_let_36 (and _let_7 _let_5))) (let ((_let_37 (tptp.p3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.p4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.p5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_42 (not _let_41))) (let ((_let_43 (tptp.p6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.p7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.p8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.p9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.p10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_52 (not _let_51))) (let ((_let_53 (tptp.p11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.p12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_56 (not _let_55))) (let ((_let_57 (tptp.p13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_58 (not _let_57))) (let ((_let_59 (tptp.p14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_60 (or _let_11 (and _let_58 (not _let_59)) (and _let_59 _let_57) (and _let_56 _let_58) (and _let_57 _let_55) (and _let_54 _let_56) (and _let_55 _let_53) (and _let_52 _let_54) (and _let_53 _let_51) (and _let_50 _let_52) (and _let_51 _let_49) (and _let_48 _let_50) (and _let_49 _let_47) (and _let_46 _let_48) (and _let_47 _let_45) (and _let_44 _let_46) (and _let_45 _let_43) (and _let_42 _let_44) (and _let_43 _let_41) (and _let_40 _let_42) (and _let_41 _let_39) (and _let_38 _let_40) (and _let_39 _let_37) (and _let_5 _let_38) (and _let_37 _let_4) _let_36 _let_35))) (let ((_let_61 (not _let_60))) (let ((_let_62 (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_63 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_64 (and _let_16 (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (and (or (not _let_63) _let_62) (or _let_63 (not _let_62)))) _let_15 _let_14))) (let ((_let_65 (or _let_19 _let_64))) (let ((_let_66 (_let_14))) (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_14) _let_13))) (REFL :args (_let_61)) :args _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_64 3)) :args ((or _let_14 (not _let_64)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_19 _let_64 (not _let_65)))) _let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_30)) _let_29 :args (_let_65 false _let_21)) :args (_let_64 false _let_18 false _let_65)) :args (_let_14 false _let_64)) :args (_let_61 true _let_13)))) (let ((_let_68 (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_60 0)) (CONG (REFL :args (_let_60)) (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_27)) :args ((or _let_10 _let_60))) _let_67 :args (_let_10 true _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_17 1)) :args ((or _let_12 (not _let_17)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_19 _let_17 (not _let_20)))) _let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_30)) _let_29 :args (_let_20 false _let_21)) :args (_let_17 false _let_18 false _let_20)) :args (_let_12 false _let_17)) :args (_let_9 false _let_10 false _let_12)))) (let ((_let_69 (not _let_9))) (let ((_let_70 (_let_36))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_8)) :args ((or _let_4 _let_7 (not _let_8)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_9 1)) :args ((or _let_8 _let_69))) _let_68 :args (_let_8 false _let_9)) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_70) (CONG (REFL :args _let_70) (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_3))) (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) :args _let_27)) :args ((or _let_4 _let_3 _let_36))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_60 25)) _let_67 :args ((not _let_36) true _let_60)) :args (_let_4 false _let_8 false _let_3 true _let_36)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_6)) :args ((or _let_5 _let_3 (not _let_6)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_35)) :args ((or _let_5 _let_7 _let_35))) _let_71 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_60 26)) _let_67 :args ((not _let_35) true _let_60)) :args (_let_7 false _let_4 true _let_35)) _let_71 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_9 0)) :args ((or _let_6 _let_69))) _let_68 :args (_let_6 false _let_9)) :args (false true _let_3 false _let_4 false _let_6)) :args (_let_2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.r1 X Y) (tptp.r1 Y Z)) (tptp.r1 X Z))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.79/11.00  )
% 10.79/11.00  % SZS output end Proof for LCL686+1.005
% 10.79/11.00  % cvc5---1.0.5 exiting
% 10.79/11.00  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------