TSTP Solution File: DAT329_1 by Z3---4.8.9.0

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : DAT329_1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n004.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 : Fri Sep 16 14:37:20 EDT 2022

% Result   : Unsatisfiable 0.19s 0.40s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : DAT329_1 : TPTP v8.1.0. Released v7.0.0.
% 0.03/0.12  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33  % Computer : n004.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Wed Aug 31 02:17:19 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.33  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.33  Usage: tptp [options] [-file:]file
% 0.13/0.33    -h, -?       prints this message.
% 0.13/0.33    -smt2        print SMT-LIB2 benchmark.
% 0.13/0.33    -m, -model   generate model.
% 0.13/0.33    -p, -proof   generate proof.
% 0.13/0.33    -c, -core    generate unsat core of named formulas.
% 0.13/0.33    -st, -statistics display statistics.
% 0.13/0.33    -t:timeout   set timeout (in second).
% 0.13/0.33    -smt2status  display status in smt2 format instead of SZS.
% 0.13/0.33    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.33    -<param>:<value> configuration parameter and value.
% 0.13/0.33    -o:<output-file> file to place output in.
% 0.19/0.40  % SZS status Unsatisfiable
% 0.19/0.40  % SZS output start Proof
% 0.19/0.40  tff(key_type, type, (
% 0.19/0.40     key: $int > $int)).
% 0.19/0.40  tff(tptp_fun__select__Array_Int_Int__Int__Int__type, type, (
% 0.19/0.40     tptp_fun__select__Array_Int_Int__Int__Int_: ( 'Array[Int,Int]' * $int ) > $int)).
% 0.19/0.40  tff(tptp_fun_A__questionmark_j_4_type, type, (
% 0.19/0.40     tptp_fun_A__questionmark_j_4: 'Array[Int,Int]' > $int)).
% 0.19/0.40  tff(elems_type, type, (
% 0.19/0.40     elems: 'Queue' > 'Array[Int,Int]')).
% 0.19/0.40  tff(tptp_fun_A__questionmark_pp_0_type, type, (
% 0.19/0.40     tptp_fun_A__questionmark_pp_0: 'Queue')).
% 0.19/0.40  tff(tptp_fun_A__questionmark_ee_2_type, type, (
% 0.19/0.40     tptp_fun_A__questionmark_ee_2: 'Array[Int,Int]' > 'Array[Int,Int]')).
% 0.19/0.40  tff(tptp_fun_A__questionmark_k_3_type, type, (
% 0.19/0.40     tptp_fun_A__questionmark_k_3: 'Array[Int,Int]' > $int)).
% 0.19/0.40  tff(tptp_fun_A__questionmark_i_1_type, type, (
% 0.19/0.40     tptp_fun_A__questionmark_i_1: $int)).
% 0.19/0.40  tff(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int___type, type, (
% 0.19/0.40     tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__: ( 'Array[Int,Int]' * $int * $int ) > 'Array[Int,Int]')).
% 0.19/0.40  tff(size_type, type, (
% 0.19/0.40     size: 'Queue' > $int)).
% 0.19/0.40  tff(1,plain,
% 0.19/0.40      (^[A__questionmark_v_0_1: 'Array[Int,Int]'] : refl(((~(A__questionmark_v_0_1 = elems(A__questionmark_pp!0))) | (~($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i!1))))), 0) | $lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), 0) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))))), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), $product(-1, tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1), 0)) | (~(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))))))))) <=> ((~(A__questionmark_v_0_1 = elems(A__questionmark_pp!0))) | (~($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i!1))))), 0) | $lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), 0) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))))), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), $product(-1, tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1), 0)) | (~(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))))))))))),
% 0.19/0.40      inference(bind,[status(th)],[])).
% 0.19/0.40  tff(2,plain,
% 0.19/0.40      (![A__questionmark_v_0_1: 'Array[Int,Int]'] : ((~(A__questionmark_v_0_1 = elems(A__questionmark_pp!0))) | (~($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i!1))))), 0) | $lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), 0) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))))), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), $product(-1, tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1), 0)) | (~(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))))))))) <=> ![A__questionmark_v_0_1: 'Array[Int,Int]'] : ((~(A__questionmark_v_0_1 = elems(A__questionmark_pp!0))) | (~($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i!1))))), 0) | $lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), 0) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))))), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), $product(-1, tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1), 0)) | (~(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2)))))))))))),
% 0.19/0.40      inference(quant_intro,[status(thm)],[1])).
% 0.19/0.40  tff(3,plain,
% 0.19/0.40      (^[A__questionmark_v_0_1: 'Array[Int,Int]'] : rewrite(((~(A__questionmark_v_0_1 = elems(A__questionmark_pp!0))) | (~($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i!1))))), 0) | $lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), 0) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))))), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), $product(-1, tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1), 0)) | (~(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))))))))) <=> ((~(A__questionmark_v_0_1 = elems(A__questionmark_pp!0))) | (~($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i!1))))), 0) | $lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), 0) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))))), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), $product(-1, tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1), 0)) | (~(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))))))))))),
% 0.19/0.40      inference(bind,[status(th)],[])).
% 0.19/0.40  tff(4,plain,
% 0.19/0.40      (![A__questionmark_v_0_1: 'Array[Int,Int]'] : ((~(A__questionmark_v_0_1 = elems(A__questionmark_pp!0))) | (~($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i!1))))), 0) | $lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), 0) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))))), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), $product(-1, tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1), 0)) | (~(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))))))))) <=> ![A__questionmark_v_0_1: 'Array[Int,Int]'] : ((~(A__questionmark_v_0_1 = elems(A__questionmark_pp!0))) | (~($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i!1))))), 0) | $lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), 0) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))))), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), $product(-1, tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1), 0)) | (~(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2)))))))))))),
% 0.19/0.40      inference(quant_intro,[status(thm)],[3])).
% 0.19/0.40  tff(5,plain,
% 0.19/0.40      (![A__questionmark_v_0_1: 'Array[Int,Int]'] : ((~(A__questionmark_v_0_1 = elems(A__questionmark_pp!0))) | (~($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i!1))))), 0) | $lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), 0) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))))), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), $product(-1, tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1), 0)) | (~(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))))))))) <=> ![A__questionmark_v_0_1: 'Array[Int,Int]'] : ((~(A__questionmark_v_0_1 = elems(A__questionmark_pp!0))) | (~($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i!1))))), 0) | $lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), 0) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))))), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), $product(-1, tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1), 0)) | (~(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2)))))))))))),
% 0.19/0.41      inference(transitivity,[status(thm)],[4, 2])).
% 0.19/0.41  tff(6,plain,
% 0.19/0.41      (^[A__questionmark_v_0_1: 'Array[Int,Int]'] : rewrite(((~(A__questionmark_v_0_1 = elems(A__questionmark_pp!0))) | ($greatereq(A__questionmark_i!1, 0) & ![A__questionmark_j: $int, A__questionmark_k: $int] : ((~((~$lesseq(A__questionmark_j, 0)) & (~$greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0)) & $greatereq(A__questionmark_k, 0) & (~$lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0)) & (~($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0)))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0)) & (~$lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i!1))))), 0)) & (~$lesseq(A__questionmark_i!1, 0)) & (~$greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0)) & ![A__questionmark_v_1_2: $int] : (~(($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1) & ((~((~$lesseq(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), 0)) & (~$lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))), 0)) & $greatereq(tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1), 0) & (~$lesseq($sum(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), $product(-1, tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), 0)) & (~($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))) = 0)) & (tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))))), 0)))))) <=> ((~(A__questionmark_v_0_1 = elems(A__questionmark_pp!0))) | (~($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i!1))))), 0) | $lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), 0) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))))), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), $product(-1, tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1), 0)) | (~(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))))))))))),
% 0.19/0.41      inference(bind,[status(th)],[])).
% 0.19/0.41  tff(7,plain,
% 0.19/0.41      (![A__questionmark_v_0_1: 'Array[Int,Int]'] : ((~(A__questionmark_v_0_1 = elems(A__questionmark_pp!0))) | ($greatereq(A__questionmark_i!1, 0) & ![A__questionmark_j: $int, A__questionmark_k: $int] : ((~((~$lesseq(A__questionmark_j, 0)) & (~$greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0)) & $greatereq(A__questionmark_k, 0) & (~$lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0)) & (~($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0)))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0)) & (~$lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i!1))))), 0)) & (~$lesseq(A__questionmark_i!1, 0)) & (~$greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0)) & ![A__questionmark_v_1_2: $int] : (~(($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1) & ((~((~$lesseq(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), 0)) & (~$lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))), 0)) & $greatereq(tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1), 0) & (~$lesseq($sum(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), $product(-1, tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), 0)) & (~($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))) = 0)) & (tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))))), 0)))))) <=> ![A__questionmark_v_0_1: 'Array[Int,Int]'] : ((~(A__questionmark_v_0_1 = elems(A__questionmark_pp!0))) | (~($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i!1))))), 0) | $lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), 0) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))))), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), $product(-1, tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1), 0)) | (~(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2)))))))))))),
% 0.19/0.41      inference(quant_intro,[status(thm)],[6])).
% 0.19/0.41  tff(8,plain,
% 0.19/0.41      (^[A__questionmark_v_0_1: 'Array[Int,Int]'] : rewrite(((~(A__questionmark_v_0_1 = elems(A__questionmark_pp!0))) | (($greatereq(A__questionmark_i!1, 0) & ![A__questionmark_j: $int, A__questionmark_k: $int] : ((~((~$lesseq(A__questionmark_j, 0)) & (~$greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0)) & $greatereq(A__questionmark_k, 0) & (~$lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0)) & (~($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0)))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0)) & (~$lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i!1))))), 0)) & (~$lesseq(A__questionmark_i!1, 0)) & (~$greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0))) & ![A__questionmark_v_1_2: $int] : (~(($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1) & ((~((~$lesseq(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), 0)) & (~$lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))), 0)) & $greatereq(tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1), 0) & (~$greatereq($sum(tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1), $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))), 0)) & (~($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))) = 0)) & (tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))))), 0)))))) <=> ((~(A__questionmark_v_0_1 = elems(A__questionmark_pp!0))) | ($greatereq(A__questionmark_i!1, 0) & ![A__questionmark_j: $int, A__questionmark_k: $int] : ((~((~$lesseq(A__questionmark_j, 0)) & (~$greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0)) & $greatereq(A__questionmark_k, 0) & (~$lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0)) & (~($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0)))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0)) & (~$lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i!1))))), 0)) & (~$lesseq(A__questionmark_i!1, 0)) & (~$greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0)) & ![A__questionmark_v_1_2: $int] : (~(($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1) & ((~((~$lesseq(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), 0)) & (~$lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))), 0)) & $greatereq(tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1), 0) & (~$lesseq($sum(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), $product(-1, tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), 0)) & (~($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))) = 0)) & (tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))))), 0)))))))),
% 0.19/0.41      inference(bind,[status(th)],[])).
% 0.19/0.41  tff(9,plain,
% 0.19/0.41      (![A__questionmark_v_0_1: 'Array[Int,Int]'] : ((~(A__questionmark_v_0_1 = elems(A__questionmark_pp!0))) | (($greatereq(A__questionmark_i!1, 0) & ![A__questionmark_j: $int, A__questionmark_k: $int] : ((~((~$lesseq(A__questionmark_j, 0)) & (~$greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0)) & $greatereq(A__questionmark_k, 0) & (~$lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0)) & (~($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0)))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0)) & (~$lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i!1))))), 0)) & (~$lesseq(A__questionmark_i!1, 0)) & (~$greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0))) & ![A__questionmark_v_1_2: $int] : (~(($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1) & ((~((~$lesseq(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), 0)) & (~$lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))), 0)) & $greatereq(tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1), 0) & (~$greatereq($sum(tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1), $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))), 0)) & (~($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))) = 0)) & (tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))))), 0)))))) <=> ![A__questionmark_v_0_1: 'Array[Int,Int]'] : ((~(A__questionmark_v_0_1 = elems(A__questionmark_pp!0))) | ($greatereq(A__questionmark_i!1, 0) & ![A__questionmark_j: $int, A__questionmark_k: $int] : ((~((~$lesseq(A__questionmark_j, 0)) & (~$greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0)) & $greatereq(A__questionmark_k, 0) & (~$lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0)) & (~($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0)))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0)) & (~$lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i!1))))), 0)) & (~$lesseq(A__questionmark_i!1, 0)) & (~$greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0)) & ![A__questionmark_v_1_2: $int] : (~(($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1) & ((~((~$lesseq(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), 0)) & (~$lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))), 0)) & $greatereq(tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1), 0) & (~$lesseq($sum(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), $product(-1, tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), 0)) & (~($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))) = 0)) & (tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))))), 0))))))),
% 0.19/0.41      inference(quant_intro,[status(thm)],[8])).
% 0.19/0.41  tff(10,plain,
% 0.19/0.41      ((~![A__questionmark_i: $int, A__questionmark_pp: 'Queue'] : ?[A__questionmark_v_0_1: 'Array[Int,Int]'] : ((A__questionmark_v_0_1 = elems(A__questionmark_pp)) & ((~($greatereq(A__questionmark_i, 0) & ![A__questionmark_j: $int, A__questionmark_k: $int] : ((~((~$lesseq(A__questionmark_j, 0)) & (~$greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp))), 0)) & $greatereq(A__questionmark_k, 0) & (~$lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0)) & (~($sum(A__questionmark_j, $product(-1, A__questionmark_i)) = 0)))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0)) & (~$lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i))))), 0)) & (~$lesseq(A__questionmark_i, 0)) & (~$greatereq($sum(A__questionmark_i, $product(-1, size(A__questionmark_pp))), 0)))) | ![A__questionmark_j: $int, A__questionmark_k: $int, A__questionmark_ee: 'Array[Int,Int]'] : ?[A__questionmark_v_1_2: $int] : (($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i)) = -1) & ((~((~$lesseq(A__questionmark_j, 0)) & (~$lesseq($sum(size(A__questionmark_pp), $product(-1, A__questionmark_j)), 0)) & $greatereq(A__questionmark_k, 0) & (~$greatereq($sum(A__questionmark_k, $product(-1, A__questionmark_j)), 0)) & (~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_j)) = 0)) & (A__questionmark_ee = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), A__questionmark_i, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_j)))), 0)))))) <=> (~![A__questionmark_i: $int, A__questionmark_pp: 'Queue'] : ?[A__questionmark_v_0_1: 'Array[Int,Int]'] : ((A__questionmark_v_0_1 = elems(A__questionmark_pp)) & ((~($greatereq(A__questionmark_i, 0) & ![A__questionmark_j: $int, A__questionmark_k: $int] : ((~((~$lesseq(A__questionmark_j, 0)) & (~$greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp))), 0)) & $greatereq(A__questionmark_k, 0) & (~$lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0)) & (~($sum(A__questionmark_j, $product(-1, A__questionmark_i)) = 0)))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0)) & (~$lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i))))), 0)) & (~$lesseq(A__questionmark_i, 0)) & (~$greatereq($sum(A__questionmark_i, $product(-1, size(A__questionmark_pp))), 0)))) | ![A__questionmark_j: $int, A__questionmark_k: $int, A__questionmark_ee: 'Array[Int,Int]'] : ?[A__questionmark_v_1_2: $int] : (($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i)) = -1) & ((~((~$lesseq(A__questionmark_j, 0)) & (~$lesseq($sum(size(A__questionmark_pp), $product(-1, A__questionmark_j)), 0)) & $greatereq(A__questionmark_k, 0) & (~$greatereq($sum(A__questionmark_k, $product(-1, A__questionmark_j)), 0)) & (~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_j)) = 0)) & (A__questionmark_ee = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), A__questionmark_i, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_j)))), 0))))))),
% 0.19/0.41      inference(rewrite,[status(thm)],[])).
% 0.19/0.41  tff(11,plain,
% 0.19/0.41      ((~![A__questionmark_i: $int, A__questionmark_pp: 'Queue'] : ?[A__questionmark_v_0_1: 'Array[Int,Int]'] : ((A__questionmark_v_0_1 = elems(A__questionmark_pp)) & ((~($greatereq(A__questionmark_i, 0) & ![A__questionmark_j: $int, A__questionmark_k: $int] : ((~((~$lesseq(A__questionmark_j, 0)) & (~$lesseq($sum(size(A__questionmark_pp), $product(-1, A__questionmark_j)), 0)) & $greatereq(A__questionmark_k, 0) & (~$lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0)) & (~($sum(A__questionmark_i, $product(-1, A__questionmark_j)) = 0)))) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)))), 0)) & (~$lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i))))), 0)) & (~$lesseq(A__questionmark_i, 0)) & (~$lesseq($sum(size(A__questionmark_pp), $product(-1, A__questionmark_i)), 0)))) | ![A__questionmark_j: $int, A__questionmark_k: $int, A__questionmark_ee: 'Array[Int,Int]'] : ?[A__questionmark_v_1_2: $int] : (($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i)) = -1) & ((~((~$lesseq(A__questionmark_j, 0)) & (~$lesseq($sum(size(A__questionmark_pp), $product(-1, A__questionmark_j)), 0)) & $greatereq(A__questionmark_k, 0) & (~$lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0)) & (~($sum(A__questionmark_j, $product(-1, A__questionmark_v_1_2)) = 0)) & (A__questionmark_ee = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), A__questionmark_i, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_j)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_k)))), 0)))))) <=> (~![A__questionmark_i: $int, A__questionmark_pp: 'Queue'] : ?[A__questionmark_v_0_1: 'Array[Int,Int]'] : ((A__questionmark_v_0_1 = elems(A__questionmark_pp)) & ((~($greatereq(A__questionmark_i, 0) & ![A__questionmark_j: $int, A__questionmark_k: $int] : ((~((~$lesseq(A__questionmark_j, 0)) & (~$greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp))), 0)) & $greatereq(A__questionmark_k, 0) & (~$lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0)) & (~($sum(A__questionmark_j, $product(-1, A__questionmark_i)) = 0)))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0)) & (~$lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i))))), 0)) & (~$lesseq(A__questionmark_i, 0)) & (~$greatereq($sum(A__questionmark_i, $product(-1, size(A__questionmark_pp))), 0)))) | ![A__questionmark_j: $int, A__questionmark_k: $int, A__questionmark_ee: 'Array[Int,Int]'] : ?[A__questionmark_v_1_2: $int] : (($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i)) = -1) & ((~((~$lesseq(A__questionmark_j, 0)) & (~$lesseq($sum(size(A__questionmark_pp), $product(-1, A__questionmark_j)), 0)) & $greatereq(A__questionmark_k, 0) & (~$greatereq($sum(A__questionmark_k, $product(-1, A__questionmark_j)), 0)) & (~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_j)) = 0)) & (A__questionmark_ee = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), A__questionmark_i, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_j)))), 0))))))),
% 0.19/0.41      inference(rewrite,[status(thm)],[])).
% 0.19/0.41  tff(12,plain,
% 0.19/0.41      ((~![A__questionmark_i: $int, A__questionmark_pp: 'Queue'] : ?[A__questionmark_v_0_1: 'Array[Int,Int]'] : ((A__questionmark_v_0_1 = elems(A__questionmark_pp)) & ((~($greatereq(A__questionmark_i, 0) & ![A__questionmark_j: $int, A__questionmark_k: $int] : ((~((~$lesseq(A__questionmark_j, 0)) & (~$lesseq(size(A__questionmark_pp), A__questionmark_j)) & $greatereq(A__questionmark_k, 0) & (~$lesseq(A__questionmark_j, A__questionmark_k)) & (~(A__questionmark_i = A__questionmark_j)))) | $lesseq(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)), key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)))) & (~$lesseq(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i))))) & (~$lesseq(A__questionmark_i, 0)) & (~$lesseq(size(A__questionmark_pp), A__questionmark_i)))) | ![A__questionmark_j: $int, A__questionmark_k: $int, A__questionmark_ee: 'Array[Int,Int]'] : ?[A__questionmark_v_1_2: $int] : ((A__questionmark_v_1_2 = $sum(-1, A__questionmark_i)) & ((~((~$lesseq(A__questionmark_j, 0)) & (~$lesseq(size(A__questionmark_pp), A__questionmark_j)) & $greatereq(A__questionmark_k, 0) & (~$lesseq(A__questionmark_j, A__questionmark_k)) & (~(A__questionmark_j = A__questionmark_v_1_2)) & (A__questionmark_ee = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), A__questionmark_i, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))) | $lesseq(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_j)), key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_k)))))))) <=> (~![A__questionmark_i: $int, A__questionmark_pp: 'Queue'] : ?[A__questionmark_v_0_1: 'Array[Int,Int]'] : ((A__questionmark_v_0_1 = elems(A__questionmark_pp)) & ((~($greatereq(A__questionmark_i, 0) & ![A__questionmark_j: $int, A__questionmark_k: $int] : ((~((~$lesseq(A__questionmark_j, 0)) & (~$lesseq($sum(size(A__questionmark_pp), $product(-1, A__questionmark_j)), 0)) & $greatereq(A__questionmark_k, 0) & (~$lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0)) & (~($sum(A__questionmark_i, $product(-1, A__questionmark_j)) = 0)))) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)))), 0)) & (~$lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i))))), 0)) & (~$lesseq(A__questionmark_i, 0)) & (~$lesseq($sum(size(A__questionmark_pp), $product(-1, A__questionmark_i)), 0)))) | ![A__questionmark_j: $int, A__questionmark_k: $int, A__questionmark_ee: 'Array[Int,Int]'] : ?[A__questionmark_v_1_2: $int] : (($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i)) = -1) & ((~((~$lesseq(A__questionmark_j, 0)) & (~$lesseq($sum(size(A__questionmark_pp), $product(-1, A__questionmark_j)), 0)) & $greatereq(A__questionmark_k, 0) & (~$lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0)) & (~($sum(A__questionmark_j, $product(-1, A__questionmark_v_1_2)) = 0)) & (A__questionmark_ee = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), A__questionmark_i, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_j)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_k)))), 0))))))),
% 0.19/0.41      inference(rewrite,[status(thm)],[])).
% 0.19/0.41  tff(13,plain,
% 0.19/0.41      ((~![A__questionmark_i: $int, A__questionmark_pp: 'Queue'] : ?[A__questionmark_v_0_1: 'Array[Int,Int]'] : ((A__questionmark_v_0_1 = elems(A__questionmark_pp)) & ((~($greatereq(A__questionmark_i, 0) & ![A__questionmark_j: $int, A__questionmark_k: $int] : ((~((~$lesseq(A__questionmark_j, 0)) & (~$lesseq(size(A__questionmark_pp), A__questionmark_j)) & $greatereq(A__questionmark_k, 0) & (~$lesseq(A__questionmark_j, A__questionmark_k)) & (~(A__questionmark_i = A__questionmark_j)))) | $lesseq(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)), key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)))) & (~$lesseq(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i))))) & (~$lesseq(A__questionmark_i, 0)) & (~$lesseq(size(A__questionmark_pp), A__questionmark_i)))) | ![A__questionmark_j: $int, A__questionmark_k: $int, A__questionmark_ee: 'Array[Int,Int]'] : ?[A__questionmark_v_1_2: $int] : ((A__questionmark_v_1_2 = $sum(-1, A__questionmark_i)) & ((~((~$lesseq(A__questionmark_j, 0)) & (~$lesseq(size(A__questionmark_pp), A__questionmark_j)) & $greatereq(A__questionmark_k, 0) & (~$lesseq(A__questionmark_j, A__questionmark_k)) & (~(A__questionmark_j = A__questionmark_v_1_2)) & (A__questionmark_ee = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), A__questionmark_i, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))) | $lesseq(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_j)), key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_k)))))))) <=> (~![A__questionmark_i: $int, A__questionmark_pp: 'Queue'] : ?[A__questionmark_v_0_1: 'Array[Int,Int]'] : ((A__questionmark_v_0_1 = elems(A__questionmark_pp)) & ((~($greatereq(A__questionmark_i, 0) & ![A__questionmark_j: $int, A__questionmark_k: $int] : ((~((~$lesseq(A__questionmark_j, 0)) & (~$lesseq(size(A__questionmark_pp), A__questionmark_j)) & $greatereq(A__questionmark_k, 0) & (~$lesseq(A__questionmark_j, A__questionmark_k)) & (~(A__questionmark_i = A__questionmark_j)))) | $lesseq(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)), key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)))) & (~$lesseq(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i))))) & (~$lesseq(A__questionmark_i, 0)) & (~$lesseq(size(A__questionmark_pp), A__questionmark_i)))) | ![A__questionmark_j: $int, A__questionmark_k: $int, A__questionmark_ee: 'Array[Int,Int]'] : ?[A__questionmark_v_1_2: $int] : ((A__questionmark_v_1_2 = $sum(-1, A__questionmark_i)) & ((~((~$lesseq(A__questionmark_j, 0)) & (~$lesseq(size(A__questionmark_pp), A__questionmark_j)) & $greatereq(A__questionmark_k, 0) & (~$lesseq(A__questionmark_j, A__questionmark_k)) & (~(A__questionmark_j = A__questionmark_v_1_2)) & (A__questionmark_ee = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), A__questionmark_i, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))) | $lesseq(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_j)), key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_k))))))))),
% 0.19/0.41      inference(rewrite,[status(thm)],[])).
% 0.19/0.41  tff(14,plain,
% 0.19/0.41      ((~![A__questionmark_i: $int, A__questionmark_pp: 'Queue'] : ?[A__questionmark_v_0_1: 'Array[Int,Int]'] : ((A__questionmark_v_0_1 = elems(A__questionmark_pp)) & ((((($greatereq(A__questionmark_i, 0) & ![A__questionmark_j: $int, A__questionmark_k: $int] : ((((($greater(A__questionmark_j, 0) & $less(A__questionmark_j, size(A__questionmark_pp))) & $greatereq(A__questionmark_k, 0)) & $less(A__questionmark_k, A__questionmark_j)) & (~(A__questionmark_i = A__questionmark_j))) => $lesseq(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)), key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k))))) & (~$lesseq(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $difference(A__questionmark_i, 1)))))) & $greater(A__questionmark_i, 0)) & $less(A__questionmark_i, size(A__questionmark_pp))) => ![A__questionmark_j: $int, A__questionmark_k: $int, A__questionmark_ee: 'Array[Int,Int]'] : ?[A__questionmark_v_1_2: $int] : ((A__questionmark_v_1_2 = $difference(A__questionmark_i, 1)) & (((((($greater(A__questionmark_j, 0) & $less(A__questionmark_j, size(A__questionmark_pp))) & $greatereq(A__questionmark_k, 0)) & $less(A__questionmark_k, A__questionmark_j)) & (~(A__questionmark_j = A__questionmark_v_1_2))) & (A__questionmark_ee = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), A__questionmark_i, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2)))) => $lesseq(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_j)), key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_k)))))))) <=> (~![A__questionmark_i: $int, A__questionmark_pp: 'Queue'] : ?[A__questionmark_v_0_1: 'Array[Int,Int]'] : ((A__questionmark_v_0_1 = elems(A__questionmark_pp)) & ((~($greatereq(A__questionmark_i, 0) & ![A__questionmark_j: $int, A__questionmark_k: $int] : ((~((~$lesseq(A__questionmark_j, 0)) & (~$lesseq(size(A__questionmark_pp), A__questionmark_j)) & $greatereq(A__questionmark_k, 0) & (~$lesseq(A__questionmark_j, A__questionmark_k)) & (~(A__questionmark_i = A__questionmark_j)))) | $lesseq(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)), key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)))) & (~$lesseq(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i))))) & (~$lesseq(A__questionmark_i, 0)) & (~$lesseq(size(A__questionmark_pp), A__questionmark_i)))) | ![A__questionmark_j: $int, A__questionmark_k: $int, A__questionmark_ee: 'Array[Int,Int]'] : ?[A__questionmark_v_1_2: $int] : ((A__questionmark_v_1_2 = $sum(-1, A__questionmark_i)) & ((~((~$lesseq(A__questionmark_j, 0)) & (~$lesseq(size(A__questionmark_pp), A__questionmark_j)) & $greatereq(A__questionmark_k, 0) & (~$lesseq(A__questionmark_j, A__questionmark_k)) & (~(A__questionmark_j = A__questionmark_v_1_2)) & (A__questionmark_ee = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), A__questionmark_i, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))) | $lesseq(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_j)), key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_k))))))))),
% 0.19/0.41      inference(rewrite,[status(thm)],[])).
% 0.19/0.41  tff(15,axiom,(~![A__questionmark_i: $int, A__questionmark_pp: 'Queue'] : ?[A__questionmark_v_0_1: 'Array[Int,Int]'] : ((A__questionmark_v_0_1 = elems(A__questionmark_pp)) & ((((($greatereq(A__questionmark_i, 0) & ![A__questionmark_j: $int, A__questionmark_k: $int] : ((((($greater(A__questionmark_j, 0) & $less(A__questionmark_j, size(A__questionmark_pp))) & $greatereq(A__questionmark_k, 0)) & $less(A__questionmark_k, A__questionmark_j)) & (~(A__questionmark_i = A__questionmark_j))) => $lesseq(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)), key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k))))) & (~$lesseq(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $difference(A__questionmark_i, 1)))))) & $greater(A__questionmark_i, 0)) & $less(A__questionmark_i, size(A__questionmark_pp))) => ![A__questionmark_j: $int, A__questionmark_k: $int, A__questionmark_ee: 'Array[Int,Int]'] : ?[A__questionmark_v_1_2: $int] : ((A__questionmark_v_1_2 = $difference(A__questionmark_i, 1)) & (((((($greater(A__questionmark_j, 0) & $less(A__questionmark_j, size(A__questionmark_pp))) & $greatereq(A__questionmark_k, 0)) & $less(A__questionmark_k, A__questionmark_j)) & (~(A__questionmark_j = A__questionmark_v_1_2))) & (A__questionmark_ee = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), A__questionmark_i, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2)))) => $lesseq(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_j)), key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_k)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','formula_1')).
% 0.19/0.41  tff(16,plain,
% 0.19/0.41      (~![A__questionmark_i: $int, A__questionmark_pp: 'Queue'] : ?[A__questionmark_v_0_1: 'Array[Int,Int]'] : ((A__questionmark_v_0_1 = elems(A__questionmark_pp)) & ((~($greatereq(A__questionmark_i, 0) & ![A__questionmark_j: $int, A__questionmark_k: $int] : ((~((~$lesseq(A__questionmark_j, 0)) & (~$lesseq(size(A__questionmark_pp), A__questionmark_j)) & $greatereq(A__questionmark_k, 0) & (~$lesseq(A__questionmark_j, A__questionmark_k)) & (~(A__questionmark_i = A__questionmark_j)))) | $lesseq(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)), key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)))) & (~$lesseq(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i))))) & (~$lesseq(A__questionmark_i, 0)) & (~$lesseq(size(A__questionmark_pp), A__questionmark_i)))) | ![A__questionmark_j: $int, A__questionmark_k: $int, A__questionmark_ee: 'Array[Int,Int]'] : ?[A__questionmark_v_1_2: $int] : ((A__questionmark_v_1_2 = $sum(-1, A__questionmark_i)) & ((~((~$lesseq(A__questionmark_j, 0)) & (~$lesseq(size(A__questionmark_pp), A__questionmark_j)) & $greatereq(A__questionmark_k, 0) & (~$lesseq(A__questionmark_j, A__questionmark_k)) & (~(A__questionmark_j = A__questionmark_v_1_2)) & (A__questionmark_ee = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), A__questionmark_i, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))) | $lesseq(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_j)), key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_k)))))))),
% 0.19/0.41      inference(modus_ponens,[status(thm)],[15, 14])).
% 0.19/0.41  tff(17,plain,
% 0.19/0.41      (~![A__questionmark_i: $int, A__questionmark_pp: 'Queue'] : ?[A__questionmark_v_0_1: 'Array[Int,Int]'] : ((A__questionmark_v_0_1 = elems(A__questionmark_pp)) & ((~($greatereq(A__questionmark_i, 0) & ![A__questionmark_j: $int, A__questionmark_k: $int] : ((~((~$lesseq(A__questionmark_j, 0)) & (~$lesseq(size(A__questionmark_pp), A__questionmark_j)) & $greatereq(A__questionmark_k, 0) & (~$lesseq(A__questionmark_j, A__questionmark_k)) & (~(A__questionmark_i = A__questionmark_j)))) | $lesseq(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)), key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)))) & (~$lesseq(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i))))) & (~$lesseq(A__questionmark_i, 0)) & (~$lesseq(size(A__questionmark_pp), A__questionmark_i)))) | ![A__questionmark_j: $int, A__questionmark_k: $int, A__questionmark_ee: 'Array[Int,Int]'] : ?[A__questionmark_v_1_2: $int] : ((A__questionmark_v_1_2 = $sum(-1, A__questionmark_i)) & ((~((~$lesseq(A__questionmark_j, 0)) & (~$lesseq(size(A__questionmark_pp), A__questionmark_j)) & $greatereq(A__questionmark_k, 0) & (~$lesseq(A__questionmark_j, A__questionmark_k)) & (~(A__questionmark_j = A__questionmark_v_1_2)) & (A__questionmark_ee = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), A__questionmark_i, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))) | $lesseq(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_j)), key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_k)))))))),
% 0.19/0.41      inference(modus_ponens,[status(thm)],[16, 13])).
% 0.19/0.41  tff(18,plain,
% 0.19/0.41      (~![A__questionmark_i: $int, A__questionmark_pp: 'Queue'] : ?[A__questionmark_v_0_1: 'Array[Int,Int]'] : ((A__questionmark_v_0_1 = elems(A__questionmark_pp)) & ((~($greatereq(A__questionmark_i, 0) & ![A__questionmark_j: $int, A__questionmark_k: $int] : ((~((~$lesseq(A__questionmark_j, 0)) & (~$lesseq(size(A__questionmark_pp), A__questionmark_j)) & $greatereq(A__questionmark_k, 0) & (~$lesseq(A__questionmark_j, A__questionmark_k)) & (~(A__questionmark_i = A__questionmark_j)))) | $lesseq(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)), key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)))) & (~$lesseq(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i))))) & (~$lesseq(A__questionmark_i, 0)) & (~$lesseq(size(A__questionmark_pp), A__questionmark_i)))) | ![A__questionmark_j: $int, A__questionmark_k: $int, A__questionmark_ee: 'Array[Int,Int]'] : ?[A__questionmark_v_1_2: $int] : ((A__questionmark_v_1_2 = $sum(-1, A__questionmark_i)) & ((~((~$lesseq(A__questionmark_j, 0)) & (~$lesseq(size(A__questionmark_pp), A__questionmark_j)) & $greatereq(A__questionmark_k, 0) & (~$lesseq(A__questionmark_j, A__questionmark_k)) & (~(A__questionmark_j = A__questionmark_v_1_2)) & (A__questionmark_ee = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), A__questionmark_i, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))) | $lesseq(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_j)), key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_k)))))))),
% 0.19/0.41      inference(modus_ponens,[status(thm)],[17, 13])).
% 0.19/0.41  tff(19,plain,
% 0.19/0.41      (~![A__questionmark_i: $int, A__questionmark_pp: 'Queue'] : ?[A__questionmark_v_0_1: 'Array[Int,Int]'] : ((A__questionmark_v_0_1 = elems(A__questionmark_pp)) & ((~($greatereq(A__questionmark_i, 0) & ![A__questionmark_j: $int, A__questionmark_k: $int] : ((~((~$lesseq(A__questionmark_j, 0)) & (~$lesseq(size(A__questionmark_pp), A__questionmark_j)) & $greatereq(A__questionmark_k, 0) & (~$lesseq(A__questionmark_j, A__questionmark_k)) & (~(A__questionmark_i = A__questionmark_j)))) | $lesseq(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)), key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)))) & (~$lesseq(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i))))) & (~$lesseq(A__questionmark_i, 0)) & (~$lesseq(size(A__questionmark_pp), A__questionmark_i)))) | ![A__questionmark_j: $int, A__questionmark_k: $int, A__questionmark_ee: 'Array[Int,Int]'] : ?[A__questionmark_v_1_2: $int] : ((A__questionmark_v_1_2 = $sum(-1, A__questionmark_i)) & ((~((~$lesseq(A__questionmark_j, 0)) & (~$lesseq(size(A__questionmark_pp), A__questionmark_j)) & $greatereq(A__questionmark_k, 0) & (~$lesseq(A__questionmark_j, A__questionmark_k)) & (~(A__questionmark_j = A__questionmark_v_1_2)) & (A__questionmark_ee = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), A__questionmark_i, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))) | $lesseq(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_j)), key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_k)))))))),
% 0.19/0.41      inference(modus_ponens,[status(thm)],[18, 13])).
% 0.19/0.41  tff(20,plain,
% 0.19/0.41      (~![A__questionmark_i: $int, A__questionmark_pp: 'Queue'] : ?[A__questionmark_v_0_1: 'Array[Int,Int]'] : ((A__questionmark_v_0_1 = elems(A__questionmark_pp)) & ((~($greatereq(A__questionmark_i, 0) & ![A__questionmark_j: $int, A__questionmark_k: $int] : ((~((~$lesseq(A__questionmark_j, 0)) & (~$lesseq($sum(size(A__questionmark_pp), $product(-1, A__questionmark_j)), 0)) & $greatereq(A__questionmark_k, 0) & (~$lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0)) & (~($sum(A__questionmark_i, $product(-1, A__questionmark_j)) = 0)))) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)))), 0)) & (~$lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i))))), 0)) & (~$lesseq(A__questionmark_i, 0)) & (~$lesseq($sum(size(A__questionmark_pp), $product(-1, A__questionmark_i)), 0)))) | ![A__questionmark_j: $int, A__questionmark_k: $int, A__questionmark_ee: 'Array[Int,Int]'] : ?[A__questionmark_v_1_2: $int] : (($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i)) = -1) & ((~((~$lesseq(A__questionmark_j, 0)) & (~$lesseq($sum(size(A__questionmark_pp), $product(-1, A__questionmark_j)), 0)) & $greatereq(A__questionmark_k, 0) & (~$lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0)) & (~($sum(A__questionmark_j, $product(-1, A__questionmark_v_1_2)) = 0)) & (A__questionmark_ee = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), A__questionmark_i, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_j)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_k)))), 0)))))),
% 0.19/0.42      inference(modus_ponens,[status(thm)],[19, 12])).
% 0.19/0.42  tff(21,plain,
% 0.19/0.42      (~![A__questionmark_i: $int, A__questionmark_pp: 'Queue'] : ?[A__questionmark_v_0_1: 'Array[Int,Int]'] : ((A__questionmark_v_0_1 = elems(A__questionmark_pp)) & ((~($greatereq(A__questionmark_i, 0) & ![A__questionmark_j: $int, A__questionmark_k: $int] : ((~((~$lesseq(A__questionmark_j, 0)) & (~$greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp))), 0)) & $greatereq(A__questionmark_k, 0) & (~$lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0)) & (~($sum(A__questionmark_j, $product(-1, A__questionmark_i)) = 0)))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0)) & (~$lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i))))), 0)) & (~$lesseq(A__questionmark_i, 0)) & (~$greatereq($sum(A__questionmark_i, $product(-1, size(A__questionmark_pp))), 0)))) | ![A__questionmark_j: $int, A__questionmark_k: $int, A__questionmark_ee: 'Array[Int,Int]'] : ?[A__questionmark_v_1_2: $int] : (($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i)) = -1) & ((~((~$lesseq(A__questionmark_j, 0)) & (~$lesseq($sum(size(A__questionmark_pp), $product(-1, A__questionmark_j)), 0)) & $greatereq(A__questionmark_k, 0) & (~$greatereq($sum(A__questionmark_k, $product(-1, A__questionmark_j)), 0)) & (~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_j)) = 0)) & (A__questionmark_ee = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), A__questionmark_i, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_j)))), 0)))))),
% 0.19/0.42      inference(modus_ponens,[status(thm)],[20, 11])).
% 0.19/0.42  tff(22,plain,
% 0.19/0.42      (~![A__questionmark_i: $int, A__questionmark_pp: 'Queue'] : ?[A__questionmark_v_0_1: 'Array[Int,Int]'] : ((A__questionmark_v_0_1 = elems(A__questionmark_pp)) & ((~($greatereq(A__questionmark_i, 0) & ![A__questionmark_j: $int, A__questionmark_k: $int] : ((~((~$lesseq(A__questionmark_j, 0)) & (~$greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp))), 0)) & $greatereq(A__questionmark_k, 0) & (~$lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0)) & (~($sum(A__questionmark_j, $product(-1, A__questionmark_i)) = 0)))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0)) & (~$lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i))))), 0)) & (~$lesseq(A__questionmark_i, 0)) & (~$greatereq($sum(A__questionmark_i, $product(-1, size(A__questionmark_pp))), 0)))) | ![A__questionmark_j: $int, A__questionmark_k: $int, A__questionmark_ee: 'Array[Int,Int]'] : ?[A__questionmark_v_1_2: $int] : (($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i)) = -1) & ((~((~$lesseq(A__questionmark_j, 0)) & (~$lesseq($sum(size(A__questionmark_pp), $product(-1, A__questionmark_j)), 0)) & $greatereq(A__questionmark_k, 0) & (~$greatereq($sum(A__questionmark_k, $product(-1, A__questionmark_j)), 0)) & (~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_j)) = 0)) & (A__questionmark_ee = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), A__questionmark_i, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_j)))), 0)))))),
% 0.19/0.42      inference(modus_ponens,[status(thm)],[21, 10])).
% 0.19/0.42  tff(23,plain,
% 0.19/0.42      (~![A__questionmark_i: $int, A__questionmark_pp: 'Queue'] : ?[A__questionmark_v_0_1: 'Array[Int,Int]'] : ((A__questionmark_v_0_1 = elems(A__questionmark_pp)) & ((~($greatereq(A__questionmark_i, 0) & ![A__questionmark_j: $int, A__questionmark_k: $int] : ((~((~$lesseq(A__questionmark_j, 0)) & (~$greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp))), 0)) & $greatereq(A__questionmark_k, 0) & (~$lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0)) & (~($sum(A__questionmark_j, $product(-1, A__questionmark_i)) = 0)))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0)) & (~$lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i))))), 0)) & (~$lesseq(A__questionmark_i, 0)) & (~$greatereq($sum(A__questionmark_i, $product(-1, size(A__questionmark_pp))), 0)))) | ![A__questionmark_j: $int, A__questionmark_k: $int, A__questionmark_ee: 'Array[Int,Int]'] : ?[A__questionmark_v_1_2: $int] : (($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i)) = -1) & ((~((~$lesseq(A__questionmark_j, 0)) & (~$lesseq($sum(size(A__questionmark_pp), $product(-1, A__questionmark_j)), 0)) & $greatereq(A__questionmark_k, 0) & (~$greatereq($sum(A__questionmark_k, $product(-1, A__questionmark_j)), 0)) & (~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_j)) = 0)) & (A__questionmark_ee = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i)), A__questionmark_i, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_j)))), 0)))))),
% 0.19/0.42      inference(modus_ponens,[status(thm)],[22, 10])).
% 0.19/0.42  tff(24,plain,(
% 0.19/0.42      $oeq((~?[A__questionmark_v_0_1: 'Array[Int,Int]'] : ((A__questionmark_v_0_1 = elems(A__questionmark_pp!0)) & ((~($greatereq(A__questionmark_i!1, 0) & ![A__questionmark_j: $int, A__questionmark_k: $int] : ((~((~$lesseq(A__questionmark_j, 0)) & (~$greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0)) & $greatereq(A__questionmark_k, 0) & (~$lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0)) & (~($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0)))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0)) & (~$lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i!1))))), 0)) & (~$lesseq(A__questionmark_i!1, 0)) & (~$greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0)))) | ![A__questionmark_j: $int, A__questionmark_k: $int, A__questionmark_ee: 'Array[Int,Int]'] : ?[A__questionmark_v_1_2: $int] : (($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1) & ((~((~$lesseq(A__questionmark_j, 0)) & (~$lesseq($sum(size(A__questionmark_pp!0), $product(-1, A__questionmark_j)), 0)) & $greatereq(A__questionmark_k, 0) & (~$greatereq($sum(A__questionmark_k, $product(-1, A__questionmark_j)), 0)) & (~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_j)) = 0)) & (A__questionmark_ee = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_ee, A__questionmark_j)))), 0)))))), ![A__questionmark_v_0_1: 'Array[Int,Int]'] : ((~(A__questionmark_v_0_1 = elems(A__questionmark_pp!0))) | (($greatereq(A__questionmark_i!1, 0) & ![A__questionmark_j: $int, A__questionmark_k: $int] : ((~((~$lesseq(A__questionmark_j, 0)) & (~$greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0)) & $greatereq(A__questionmark_k, 0) & (~$lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0)) & (~($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0)))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0)) & (~$lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i!1))))), 0)) & (~$lesseq(A__questionmark_i!1, 0)) & (~$greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0))) & ![A__questionmark_v_1_2: $int] : (~(($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1) & ((~((~$lesseq(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), 0)) & (~$lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))), 0)) & $greatereq(tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1), 0) & (~$greatereq($sum(tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1), $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))), 0)) & (~($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))) = 0)) & (tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))))), 0)))))))),
% 0.19/0.42      inference(transitivity,[status(sab)],[23])).
% 0.19/0.42  tff(25,plain,
% 0.19/0.42      (![A__questionmark_v_0_1: 'Array[Int,Int]'] : ((~(A__questionmark_v_0_1 = elems(A__questionmark_pp!0))) | ($greatereq(A__questionmark_i!1, 0) & ![A__questionmark_j: $int, A__questionmark_k: $int] : ((~((~$lesseq(A__questionmark_j, 0)) & (~$greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0)) & $greatereq(A__questionmark_k, 0) & (~$lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0)) & (~($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0)))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0)) & (~$lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i!1))))), 0)) & (~$lesseq(A__questionmark_i!1, 0)) & (~$greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0)) & ![A__questionmark_v_1_2: $int] : (~(($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1) & ((~((~$lesseq(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), 0)) & (~$lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))), 0)) & $greatereq(tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1), 0) & (~$lesseq($sum(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), $product(-1, tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), 0)) & (~($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))) = 0)) & (tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2))))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))))), 0))))))),
% 0.19/0.42      inference(modus_ponens,[status(thm)],[24, 9])).
% 0.19/0.42  tff(26,plain,
% 0.19/0.42      (![A__questionmark_v_0_1: 'Array[Int,Int]'] : ((~(A__questionmark_v_0_1 = elems(A__questionmark_pp!0))) | (~($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i!1))))), 0) | $lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), 0) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))))), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), $product(-1, tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1), 0)) | (~(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2)))))))))))),
% 0.19/0.42      inference(modus_ponens,[status(thm)],[25, 7])).
% 0.19/0.42  tff(27,plain,
% 0.19/0.42      (![A__questionmark_v_0_1: 'Array[Int,Int]'] : ((~(A__questionmark_v_0_1 = elems(A__questionmark_pp!0))) | (~($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i!1))))), 0) | $lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), 0) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))))), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), $product(-1, tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1), 0)) | (~(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2)))))))))))),
% 0.19/0.42      inference(modus_ponens,[status(thm)],[26, 5])).
% 0.19/0.42  tff(28,plain,
% 0.19/0.42      (((~![A__questionmark_v_0_1: 'Array[Int,Int]'] : ((~(A__questionmark_v_0_1 = elems(A__questionmark_pp!0))) | (~($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i!1))))), 0) | $lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), 0) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))))), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), $product(-1, tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1), 0)) | (~(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2)))))))))))) | (~($lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))), 0) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_v_1_2)))) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0)))))))) <=> ((~![A__questionmark_v_0_1: 'Array[Int,Int]'] : ((~(A__questionmark_v_0_1 = elems(A__questionmark_pp!0))) | (~($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i!1))))), 0) | $lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), 0) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))))), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), $product(-1, tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1), 0)) | (~(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2)))))))))))) | (~($lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))), 0) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_v_1_2)))) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0))))))))),
% 0.19/0.42      inference(rewrite,[status(thm)],[])).
% 0.19/0.42  tff(29,plain,
% 0.19/0.42      (($false | (~($lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))), 0) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_v_1_2)))) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0)))))))) <=> (~($lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))), 0) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_v_1_2)))) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0)))))))),
% 0.19/0.42      inference(rewrite,[status(thm)],[])).
% 0.19/0.42  tff(30,plain,
% 0.19/0.42      ((~($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))), 0) | $lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_v_1_2)))))))))) <=> (~($lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))), 0) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_v_1_2)))) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0)))))))),
% 0.19/0.42      inference(rewrite,[status(thm)],[])).
% 0.19/0.42  tff(31,plain,
% 0.19/0.42      ((~$true) <=> $false),
% 0.19/0.42      inference(rewrite,[status(thm)],[])).
% 0.19/0.42  tff(32,plain,
% 0.19/0.42      ((elems(A__questionmark_pp!0) = elems(A__questionmark_pp!0)) <=> $true),
% 0.19/0.42      inference(rewrite,[status(thm)],[])).
% 0.19/0.42  tff(33,plain,
% 0.19/0.42      ((~(elems(A__questionmark_pp!0) = elems(A__questionmark_pp!0))) <=> (~$true)),
% 0.19/0.42      inference(monotonicity,[status(thm)],[32])).
% 0.19/0.42  tff(34,plain,
% 0.19/0.42      ((~(elems(A__questionmark_pp!0) = elems(A__questionmark_pp!0))) <=> $false),
% 0.19/0.43      inference(transitivity,[status(thm)],[33, 31])).
% 0.19/0.43  tff(35,plain,
% 0.19/0.43      (((~(elems(A__questionmark_pp!0) = elems(A__questionmark_pp!0))) | (~($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))), 0) | $lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_v_1_2))))))))))) <=> ($false | (~($lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))), 0) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_v_1_2)))) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0))))))))),
% 0.19/0.43      inference(monotonicity,[status(thm)],[34, 30])).
% 0.19/0.43  tff(36,plain,
% 0.19/0.43      (((~(elems(A__questionmark_pp!0) = elems(A__questionmark_pp!0))) | (~($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))), 0) | $lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_v_1_2))))))))))) <=> (~($lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))), 0) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_v_1_2)))) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0)))))))),
% 0.19/0.43      inference(transitivity,[status(thm)],[35, 29])).
% 0.19/0.43  tff(37,plain,
% 0.19/0.43      (((~![A__questionmark_v_0_1: 'Array[Int,Int]'] : ((~(A__questionmark_v_0_1 = elems(A__questionmark_pp!0))) | (~($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i!1))))), 0) | $lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), 0) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))))), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), $product(-1, tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1), 0)) | (~(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2)))))))))))) | ((~(elems(A__questionmark_pp!0) = elems(A__questionmark_pp!0))) | (~($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))), 0) | $lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_v_1_2)))))))))))) <=> ((~![A__questionmark_v_0_1: 'Array[Int,Int]'] : ((~(A__questionmark_v_0_1 = elems(A__questionmark_pp!0))) | (~($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i!1))))), 0) | $lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), 0) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))))), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), $product(-1, tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1), 0)) | (~(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2)))))))))))) | (~($lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))), 0) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_v_1_2)))) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0))))))))),
% 0.19/0.43      inference(monotonicity,[status(thm)],[36])).
% 0.19/0.43  tff(38,plain,
% 0.19/0.43      (((~![A__questionmark_v_0_1: 'Array[Int,Int]'] : ((~(A__questionmark_v_0_1 = elems(A__questionmark_pp!0))) | (~($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i!1))))), 0) | $lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), 0) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))))), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), $product(-1, tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1), 0)) | (~(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2)))))))))))) | ((~(elems(A__questionmark_pp!0) = elems(A__questionmark_pp!0))) | (~($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))), 0) | $lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_v_1_2)))))))))))) <=> ((~![A__questionmark_v_0_1: 'Array[Int,Int]'] : ((~(A__questionmark_v_0_1 = elems(A__questionmark_pp!0))) | (~($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i!1))))), 0) | $lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), 0) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))))), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), $product(-1, tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1), 0)) | (~(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2)))))))))))) | (~($lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))), 0) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_v_1_2)))) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0))))))))),
% 0.19/0.43      inference(transitivity,[status(thm)],[37, 28])).
% 0.19/0.43  tff(39,plain,
% 0.19/0.43      ((~![A__questionmark_v_0_1: 'Array[Int,Int]'] : ((~(A__questionmark_v_0_1 = elems(A__questionmark_pp!0))) | (~($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i!1))))), 0) | $lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), 0) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))))), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), $product(-1, tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1), 0)) | (~(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2)))))))))))) | ((~(elems(A__questionmark_pp!0) = elems(A__questionmark_pp!0))) | (~($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))), 0) | $lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_v_1_2)))))))))))),
% 0.19/0.44      inference(quant_inst,[status(thm)],[])).
% 0.19/0.44  tff(40,plain,
% 0.19/0.44      ((~![A__questionmark_v_0_1: 'Array[Int,Int]'] : ((~(A__questionmark_v_0_1 = elems(A__questionmark_pp!0))) | (~($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, $sum(-1, A__questionmark_i!1))))), 0) | $lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_j)))), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), 0) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1), tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1))))), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(A__questionmark_v_0_1), $product(-1, tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(A__questionmark_v_0_1), 0)) | (~(tptp_fun_A__questionmark_ee_2(A__questionmark_v_0_1) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A__questionmark_v_0_1, A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(A__questionmark_v_0_1, A__questionmark_v_1_2)))))))))))) | (~($lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))), 0) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_v_1_2)))) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0)))))))),
% 0.19/0.44      inference(modus_ponens,[status(thm)],[39, 38])).
% 0.19/0.44  tff(41,plain,
% 0.19/0.44      (~($lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))), 0) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_v_1_2)))) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0))))))),
% 0.19/0.44      inference(unit_resolution,[status(thm)],[40, 27])).
% 0.19/0.44  tff(42,plain,
% 0.19/0.44      (($lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))), 0) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_v_1_2)))) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0)))))) | ![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_v_1_2)))) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0))))),
% 0.19/0.44      inference(tautology,[status(thm)],[])).
% 0.19/0.44  tff(43,plain,
% 0.19/0.44      (![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_v_1_2)))) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0))))),
% 0.19/0.44      inference(unit_resolution,[status(thm)],[42, 41])).
% 0.19/0.44  tff(44,plain,
% 0.19/0.44      (((~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_v_1_2)))) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0))))) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 1)))) <=> ((~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_v_1_2)))) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0))))) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 1))))),
% 0.19/0.44      inference(rewrite,[status(thm)],[])).
% 0.19/0.44  tff(45,plain,
% 0.19/0.44      (($false | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 1)))) <=> (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 1)))),
% 0.19/0.44      inference(rewrite,[status(thm)],[])).
% 0.19/0.44  tff(46,plain,
% 0.19/0.44      ((~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum($sum(-1, A__questionmark_i!1), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0))) <=> (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 1)))),
% 0.19/0.44      inference(rewrite,[status(thm)],[])).
% 0.19/0.44  tff(47,plain,
% 0.19/0.44      ((-1 = -1) <=> $true),
% 0.19/0.44      inference(rewrite,[status(thm)],[])).
% 0.19/0.44  tff(48,plain,
% 0.19/0.44      ($sum($sum(-1, A__questionmark_i!1), $product(-1, A__questionmark_i!1)) = -1),
% 0.19/0.44      inference(rewrite,[status(thm)],[])).
% 0.19/0.44  tff(49,plain,
% 0.19/0.44      (($sum($sum(-1, A__questionmark_i!1), $product(-1, A__questionmark_i!1)) = -1) <=> (-1 = -1)),
% 0.19/0.44      inference(monotonicity,[status(thm)],[48])).
% 0.19/0.44  tff(50,plain,
% 0.19/0.44      (($sum($sum(-1, A__questionmark_i!1), $product(-1, A__questionmark_i!1)) = -1) <=> $true),
% 0.19/0.44      inference(transitivity,[status(thm)],[49, 47])).
% 0.19/0.44  tff(51,plain,
% 0.19/0.44      ((~($sum($sum(-1, A__questionmark_i!1), $product(-1, A__questionmark_i!1)) = -1)) <=> (~$true)),
% 0.19/0.44      inference(monotonicity,[status(thm)],[50])).
% 0.19/0.44  tff(52,plain,
% 0.19/0.44      ((~($sum($sum(-1, A__questionmark_i!1), $product(-1, A__questionmark_i!1)) = -1)) <=> $false),
% 0.19/0.44      inference(transitivity,[status(thm)],[51, 31])).
% 0.19/0.44  tff(53,plain,
% 0.19/0.44      (((~($sum($sum(-1, A__questionmark_i!1), $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum($sum(-1, A__questionmark_i!1), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0)))) <=> ($false | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 1))))),
% 0.19/0.45      inference(monotonicity,[status(thm)],[52, 46])).
% 0.19/0.45  tff(54,plain,
% 0.19/0.45      (((~($sum($sum(-1, A__questionmark_i!1), $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum($sum(-1, A__questionmark_i!1), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0)))) <=> (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 1)))),
% 0.19/0.45      inference(transitivity,[status(thm)],[53, 45])).
% 0.19/0.45  tff(55,plain,
% 0.19/0.45      (((~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_v_1_2)))) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0))))) | ((~($sum($sum(-1, A__questionmark_i!1), $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum($sum(-1, A__questionmark_i!1), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0))))) <=> ((~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_v_1_2)))) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0))))) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 1))))),
% 0.19/0.45      inference(monotonicity,[status(thm)],[54])).
% 0.19/0.45  tff(56,plain,
% 0.19/0.45      (((~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_v_1_2)))) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0))))) | ((~($sum($sum(-1, A__questionmark_i!1), $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum($sum(-1, A__questionmark_i!1), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0))))) <=> ((~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_v_1_2)))) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0))))) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 1))))),
% 0.19/0.45      inference(transitivity,[status(thm)],[55, 44])).
% 0.19/0.45  tff(57,plain,
% 0.19/0.45      ((~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_v_1_2)))) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0))))) | ((~($sum($sum(-1, A__questionmark_i!1), $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum($sum(-1, A__questionmark_i!1), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0))))),
% 0.19/0.45      inference(quant_inst,[status(thm)],[])).
% 0.19/0.45  tff(58,plain,
% 0.19/0.45      ((~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_v_1_2)))) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0))))) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 1)))),
% 0.19/0.45      inference(modus_ponens,[status(thm)],[57, 56])).
% 0.19/0.45  tff(59,plain,
% 0.19/0.45      (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 1))),
% 0.19/0.45      inference(unit_resolution,[status(thm)],[58, 43])).
% 0.19/0.45  tff(60,plain,
% 0.19/0.45      (($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 1)) | (~$greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0))),
% 0.19/0.45      inference(tautology,[status(thm)],[])).
% 0.19/0.45  tff(61,plain,
% 0.19/0.45      (~$greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0)),
% 0.19/0.45      inference(unit_resolution,[status(thm)],[60, 59])).
% 0.19/0.45  tff(62,plain,
% 0.19/0.45      (($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 1)) | (tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))),
% 0.19/0.45      inference(tautology,[status(thm)],[])).
% 0.19/0.45  tff(63,plain,
% 0.19/0.45      (tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1)))),
% 0.19/0.45      inference(unit_resolution,[status(thm)],[62, 59])).
% 0.19/0.45  tff(64,plain,
% 0.19/0.45      (tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))) = tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0))),
% 0.19/0.45      inference(symmetry,[status(thm)],[63])).
% 0.19/0.45  tff(65,plain,
% 0.19/0.45      (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))) = tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))),
% 0.19/0.45      inference(monotonicity,[status(thm)],[64])).
% 0.19/0.45  tff(66,plain,
% 0.19/0.45      (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))) = tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))),
% 0.19/0.45      inference(monotonicity,[status(thm)],[64])).
% 0.19/0.45  tff(67,plain,
% 0.19/0.45      (($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 1)) | (~$greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0))),
% 0.19/0.45      inference(tautology,[status(thm)],[])).
% 0.19/0.45  tff(68,plain,
% 0.19/0.45      (~$greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0)),
% 0.19/0.45      inference(unit_resolution,[status(thm)],[67, 59])).
% 0.19/0.45  tff(69,assumption,($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0), introduced(assumption)).
% 0.19/0.45  tff(70,plain,
% 0.19/0.45      ((~($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0)) | $greatereq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0)),
% 0.19/0.45      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.45  tff(71,plain,
% 0.19/0.45      ($greatereq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0)),
% 0.19/0.45      inference(unit_resolution,[status(thm)],[70, 69])).
% 0.19/0.45  tff(72,plain,
% 0.19/0.45      ((~$lesseq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 0)) | (~$greatereq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0)) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0)),
% 0.19/0.45      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.45  tff(73,plain,
% 0.19/0.45      (~$lesseq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 0)),
% 0.19/0.45      inference(unit_resolution,[status(thm)],[72, 71, 68])).
% 0.19/0.45  tff(74,plain,
% 0.19/0.45      ((~($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = 0)) | $lesseq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 0)),
% 0.19/0.45      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.45  tff(75,plain,
% 0.19/0.45      (~($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = 0)),
% 0.19/0.45      inference(unit_resolution,[status(thm)],[74, 73])).
% 0.19/0.45  tff(76,plain,
% 0.19/0.45      (^[A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : refl((($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0)) <=> (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0)))),
% 0.19/0.45      inference(bind,[status(th)],[])).
% 0.19/0.45  tff(77,plain,
% 0.19/0.45      (![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0)) <=> ![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))),
% 0.19/0.45      inference(quant_intro,[status(thm)],[76])).
% 0.19/0.45  tff(78,plain,
% 0.19/0.45      (^[A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : rewrite((($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(A, J))) = 0)) <=> (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0)))),
% 0.19/0.45      inference(bind,[status(th)],[])).
% 0.19/0.45  tff(79,plain,
% 0.19/0.45      (![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(A, J))) = 0)) <=> ![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))),
% 0.19/0.45      inference(quant_intro,[status(thm)],[78])).
% 0.19/0.45  tff(80,plain,
% 0.19/0.45      (^[A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : rewrite(((I = J) | (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J) = tptp_fun__select__Array_Int_Int__Int__Int_(A, J))) <=> (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(A, J))) = 0)))),
% 0.19/0.46      inference(bind,[status(th)],[])).
% 0.19/0.46  tff(81,plain,
% 0.19/0.46      (![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : ((I = J) | (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J) = tptp_fun__select__Array_Int_Int__Int__Int_(A, J))) <=> ![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(A, J))) = 0))),
% 0.19/0.46      inference(quant_intro,[status(thm)],[80])).
% 0.19/0.46  tff(82,plain,
% 0.19/0.46      (![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : ((I = J) | (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J) = tptp_fun__select__Array_Int_Int__Int__Int_(A, J))) <=> ![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : ((I = J) | (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J) = tptp_fun__select__Array_Int_Int__Int__Int_(A, J)))),
% 0.19/0.46      inference(rewrite,[status(thm)],[])).
% 0.19/0.46  tff(83,plain,
% 0.19/0.46      (^[A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : rewrite(((~(I = J)) => (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J) = tptp_fun__select__Array_Int_Int__Int__Int_(A, J))) <=> ((I = J) | (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J) = tptp_fun__select__Array_Int_Int__Int__Int_(A, J))))),
% 0.19/0.46      inference(bind,[status(th)],[])).
% 0.19/0.46  tff(84,plain,
% 0.19/0.46      (![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : ((~(I = J)) => (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J) = tptp_fun__select__Array_Int_Int__Int__Int_(A, J))) <=> ![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : ((I = J) | (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J) = tptp_fun__select__Array_Int_Int__Int__Int_(A, J)))),
% 0.19/0.46      inference(quant_intro,[status(thm)],[83])).
% 0.19/0.46  tff(85,axiom,(![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : ((~(I = J)) => (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J) = tptp_fun__select__Array_Int_Int__Int__Int_(A, J)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','formula_3')).
% 0.19/0.46  tff(86,plain,
% 0.19/0.46      (![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : ((I = J) | (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J) = tptp_fun__select__Array_Int_Int__Int__Int_(A, J)))),
% 0.19/0.46      inference(modus_ponens,[status(thm)],[85, 84])).
% 0.19/0.46  tff(87,plain,
% 0.19/0.46      (![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : ((I = J) | (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J) = tptp_fun__select__Array_Int_Int__Int__Int_(A, J)))),
% 0.19/0.46      inference(modus_ponens,[status(thm)],[86, 82])).
% 0.19/0.46  tff(88,plain,
% 0.19/0.46      (![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(A, J))) = 0))),
% 0.19/0.46      inference(modus_ponens,[status(thm)],[87, 81])).
% 0.19/0.46  tff(89,plain,
% 0.19/0.46      (![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))),
% 0.19/0.46      inference(modus_ponens,[status(thm)],[88, 79])).
% 0.19/0.46  tff(90,plain,(
% 0.19/0.46      ![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))),
% 0.19/0.46      inference(skolemize,[status(sab)],[89])).
% 0.19/0.46  tff(91,plain,
% 0.19/0.46      (![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))),
% 0.19/0.46      inference(modus_ponens,[status(thm)],[90, 77])).
% 0.19/0.46  tff(92,plain,
% 0.19/0.46      (((~![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))) | (($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))) = 0))) <=> ((~![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))) = 0))),
% 0.19/0.46      inference(rewrite,[status(thm)],[])).
% 0.19/0.46  tff(93,plain,
% 0.19/0.46      ((~![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))) | (($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))) = 0))),
% 0.19/0.46      inference(quant_inst,[status(thm)],[])).
% 0.19/0.46  tff(94,plain,
% 0.19/0.46      ((~![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))) = 0)),
% 0.19/0.46      inference(modus_ponens,[status(thm)],[93, 92])).
% 0.19/0.46  tff(95,plain,
% 0.19/0.46      (($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))) = 0)),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[94, 91])).
% 0.19/0.46  tff(96,plain,
% 0.19/0.46      ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))) = 0),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[95, 75])).
% 0.19/0.46  tff(97,plain,
% 0.19/0.46      ((~($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))) = 0)) | $lesseq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))), 0)),
% 0.19/0.46      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.46  tff(98,plain,
% 0.19/0.46      ($lesseq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))), 0)),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[97, 96])).
% 0.19/0.46  tff(99,plain,
% 0.19/0.46      ((~($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))) = 0)) | $greatereq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))), 0)),
% 0.19/0.46      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.46  tff(100,plain,
% 0.19/0.46      ($greatereq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))), 0)),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[99, 96])).
% 0.19/0.46  tff(101,plain,
% 0.19/0.46      (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))) = tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))),
% 0.19/0.46      inference(theory_lemma,[status(thm)],[100, 98])).
% 0.19/0.46  tff(102,plain,
% 0.19/0.46      (^[A: 'Array[Int,Int]', I: $int, E: $int] : refl(($sum(E, $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), I))) = 0) <=> ($sum(E, $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), I))) = 0))),
% 0.19/0.46      inference(bind,[status(th)],[])).
% 0.19/0.46  tff(103,plain,
% 0.19/0.46      (![A: 'Array[Int,Int]', I: $int, E: $int] : ($sum(E, $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), I))) = 0) <=> ![A: 'Array[Int,Int]', I: $int, E: $int] : ($sum(E, $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), I))) = 0)),
% 0.19/0.46      inference(quant_intro,[status(thm)],[102])).
% 0.19/0.46  tff(104,plain,
% 0.19/0.46      (^[A: 'Array[Int,Int]', I: $int, E: $int] : trans(monotonicity(rewrite($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), I), $product(-1, E)) = $sum($product(-1, E), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), I))), (($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), I), $product(-1, E)) = 0) <=> ($sum($product(-1, E), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), I)) = 0))), rewrite(($sum($product(-1, E), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), I)) = 0) <=> ($sum(E, $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), I))) = 0)), (($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), I), $product(-1, E)) = 0) <=> ($sum(E, $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), I))) = 0)))),
% 0.19/0.46      inference(bind,[status(th)],[])).
% 0.19/0.46  tff(105,plain,
% 0.19/0.46      (![A: 'Array[Int,Int]', I: $int, E: $int] : ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), I), $product(-1, E)) = 0) <=> ![A: 'Array[Int,Int]', I: $int, E: $int] : ($sum(E, $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), I))) = 0)),
% 0.19/0.46      inference(quant_intro,[status(thm)],[104])).
% 0.19/0.46  tff(106,plain,
% 0.19/0.46      (^[A: 'Array[Int,Int]', I: $int, E: $int] : rewrite((tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), I) = E) <=> ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), I), $product(-1, E)) = 0))),
% 0.19/0.46      inference(bind,[status(th)],[])).
% 0.19/0.46  tff(107,plain,
% 0.19/0.46      (![A: 'Array[Int,Int]', I: $int, E: $int] : (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), I) = E) <=> ![A: 'Array[Int,Int]', I: $int, E: $int] : ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), I), $product(-1, E)) = 0)),
% 0.19/0.46      inference(quant_intro,[status(thm)],[106])).
% 0.19/0.46  tff(108,plain,
% 0.19/0.46      (![A: 'Array[Int,Int]', I: $int, E: $int] : (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), I) = E) <=> ![A: 'Array[Int,Int]', I: $int, E: $int] : (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), I) = E)),
% 0.19/0.46      inference(rewrite,[status(thm)],[])).
% 0.19/0.46  tff(109,axiom,(![A: 'Array[Int,Int]', I: $int, E: $int] : (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), I) = E)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','formula_2')).
% 0.19/0.46  tff(110,plain,
% 0.19/0.46      (![A: 'Array[Int,Int]', I: $int, E: $int] : (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), I) = E)),
% 0.19/0.46      inference(modus_ponens,[status(thm)],[109, 108])).
% 0.19/0.46  tff(111,plain,
% 0.19/0.46      (![A: 'Array[Int,Int]', I: $int, E: $int] : ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), I), $product(-1, E)) = 0)),
% 0.19/0.46      inference(modus_ponens,[status(thm)],[110, 107])).
% 0.19/0.46  tff(112,plain,
% 0.19/0.46      (![A: 'Array[Int,Int]', I: $int, E: $int] : ($sum(E, $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), I))) = 0)),
% 0.19/0.46      inference(modus_ponens,[status(thm)],[111, 105])).
% 0.19/0.46  tff(113,plain,(
% 0.19/0.46      ![A: 'Array[Int,Int]', I: $int, E: $int] : ($sum(E, $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), I))) = 0)),
% 0.19/0.46      inference(skolemize,[status(sab)],[112])).
% 0.19/0.46  tff(114,plain,
% 0.19/0.46      (![A: 'Array[Int,Int]', I: $int, E: $int] : ($sum(E, $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), I))) = 0)),
% 0.19/0.46      inference(modus_ponens,[status(thm)],[113, 103])).
% 0.19/0.46  tff(115,plain,
% 0.19/0.46      ((~![A: 'Array[Int,Int]', I: $int, E: $int] : ($sum(E, $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), I))) = 0)) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)))) = 0)),
% 0.19/0.46      inference(quant_inst,[status(thm)],[])).
% 0.19/0.46  tff(116,plain,
% 0.19/0.46      ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)))) = 0),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[115, 114])).
% 0.19/0.46  tff(117,plain,
% 0.19/0.46      ((~($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)))) = 0)) | $lesseq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)))), 0)),
% 0.19/0.46      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.46  tff(118,plain,
% 0.19/0.46      ($lesseq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)))), 0)),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[117, 116])).
% 0.19/0.46  tff(119,plain,
% 0.19/0.46      ((~($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)))) = 0)) | $greatereq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)))), 0)),
% 0.19/0.46      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.46  tff(120,plain,
% 0.19/0.46      ($greatereq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)))), 0)),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[119, 116])).
% 0.19/0.46  tff(121,plain,
% 0.19/0.46      (tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1) = tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1))),
% 0.19/0.46      inference(theory_lemma,[status(thm)],[120, 118])).
% 0.19/0.46  tff(122,plain,
% 0.19/0.46      (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)) = tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)),
% 0.19/0.46      inference(symmetry,[status(thm)],[121])).
% 0.19/0.46  tff(123,plain,
% 0.19/0.46      (((~![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)))) = 0)) <=> ((~![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)))) = 0))),
% 0.19/0.46      inference(rewrite,[status(thm)],[])).
% 0.19/0.46  tff(124,plain,
% 0.19/0.46      (($false | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)))) = 0)) <=> ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)))) = 0)),
% 0.19/0.46      inference(rewrite,[status(thm)],[])).
% 0.19/0.46  tff(125,plain,
% 0.19/0.46      ((1 = 0) <=> $false),
% 0.19/0.46      inference(rewrite,[status(thm)],[])).
% 0.19/0.46  tff(126,plain,
% 0.19/0.46      ($sum(A__questionmark_i!1, $sum(1, $product(-1, A__questionmark_i!1))) = 1),
% 0.19/0.46      inference(rewrite,[status(thm)],[])).
% 0.19/0.46  tff(127,plain,
% 0.19/0.46      ($sum($product(-1, -1), $product(-1, A__questionmark_i!1)) = $sum(1, $product(-1, A__questionmark_i!1))),
% 0.19/0.46      inference(rewrite,[status(thm)],[])).
% 0.19/0.46  tff(128,plain,
% 0.19/0.46      ($product(-1, $sum(-1, A__questionmark_i!1)) = $sum($product(-1, -1), $product(-1, A__questionmark_i!1))),
% 0.19/0.46      inference(rewrite,[status(thm)],[])).
% 0.19/0.46  tff(129,plain,
% 0.19/0.46      ($product(-1, $sum(-1, A__questionmark_i!1)) = $sum(1, $product(-1, A__questionmark_i!1))),
% 0.19/0.46      inference(transitivity,[status(thm)],[128, 127])).
% 0.19/0.46  tff(130,plain,
% 0.19/0.46      ($sum(A__questionmark_i!1, $product(-1, $sum(-1, A__questionmark_i!1))) = $sum(A__questionmark_i!1, $sum(1, $product(-1, A__questionmark_i!1)))),
% 0.19/0.46      inference(monotonicity,[status(thm)],[129])).
% 0.19/0.46  tff(131,plain,
% 0.19/0.46      ($sum(A__questionmark_i!1, $product(-1, $sum(-1, A__questionmark_i!1))) = 1),
% 0.19/0.46      inference(transitivity,[status(thm)],[130, 126])).
% 0.19/0.46  tff(132,plain,
% 0.19/0.46      (($sum(A__questionmark_i!1, $product(-1, $sum(-1, A__questionmark_i!1))) = 0) <=> (1 = 0)),
% 0.19/0.46      inference(monotonicity,[status(thm)],[131])).
% 0.19/0.46  tff(133,plain,
% 0.19/0.46      (($sum(A__questionmark_i!1, $product(-1, $sum(-1, A__questionmark_i!1))) = 0) <=> $false),
% 0.19/0.46      inference(transitivity,[status(thm)],[132, 125])).
% 0.19/0.46  tff(134,plain,
% 0.19/0.46      ((($sum(A__questionmark_i!1, $product(-1, $sum(-1, A__questionmark_i!1))) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)))) = 0)) <=> ($false | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)))) = 0))),
% 0.19/0.46      inference(monotonicity,[status(thm)],[133])).
% 0.19/0.46  tff(135,plain,
% 0.19/0.46      ((($sum(A__questionmark_i!1, $product(-1, $sum(-1, A__questionmark_i!1))) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)))) = 0)) <=> ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)))) = 0)),
% 0.19/0.46      inference(transitivity,[status(thm)],[134, 124])).
% 0.19/0.46  tff(136,plain,
% 0.19/0.46      (((~![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))) | (($sum(A__questionmark_i!1, $product(-1, $sum(-1, A__questionmark_i!1))) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)))) = 0))) <=> ((~![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)))) = 0))),
% 0.19/0.46      inference(monotonicity,[status(thm)],[135])).
% 0.19/0.46  tff(137,plain,
% 0.19/0.46      (((~![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))) | (($sum(A__questionmark_i!1, $product(-1, $sum(-1, A__questionmark_i!1))) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)))) = 0))) <=> ((~![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)))) = 0))),
% 0.19/0.47      inference(transitivity,[status(thm)],[136, 123])).
% 0.19/0.47  tff(138,plain,
% 0.19/0.47      ((~![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))) | (($sum(A__questionmark_i!1, $product(-1, $sum(-1, A__questionmark_i!1))) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)))) = 0))),
% 0.19/0.47      inference(quant_inst,[status(thm)],[])).
% 0.19/0.47  tff(139,plain,
% 0.19/0.47      ((~![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)))) = 0)),
% 0.19/0.47      inference(modus_ponens,[status(thm)],[138, 137])).
% 0.19/0.47  tff(140,plain,
% 0.19/0.47      ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)))) = 0),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[139, 91])).
% 0.19/0.47  tff(141,plain,
% 0.19/0.47      ((~($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)))) = 0)) | $lesseq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)))), 0)),
% 0.19/0.47      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.47  tff(142,plain,
% 0.19/0.47      ($lesseq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)))), 0)),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[141, 140])).
% 0.19/0.47  tff(143,plain,
% 0.19/0.47      ((~($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)))) = 0)) | $greatereq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)))), 0)),
% 0.19/0.47      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.47  tff(144,plain,
% 0.19/0.47      ($greatereq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)))), 0)),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[143, 140])).
% 0.19/0.47  tff(145,plain,
% 0.19/0.47      (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)) = tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1))),
% 0.19/0.47      inference(theory_lemma,[status(thm)],[144, 142])).
% 0.19/0.47  tff(146,plain,
% 0.19/0.47      (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)) = tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1))),
% 0.19/0.47      inference(symmetry,[status(thm)],[145])).
% 0.19/0.47  tff(147,plain,
% 0.19/0.47      ((~![A: 'Array[Int,Int]', I: $int, E: $int] : ($sum(E, $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), I))) = 0)) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1)), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1))) = 0)),
% 0.19/0.47      inference(quant_inst,[status(thm)],[])).
% 0.19/0.47  tff(148,plain,
% 0.19/0.47      ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1)), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1))) = 0),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[147, 114])).
% 0.19/0.47  tff(149,plain,
% 0.19/0.47      ((~($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1)), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1))) = 0)) | $lesseq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1)), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1))), 0)),
% 0.19/0.47      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.47  tff(150,plain,
% 0.19/0.47      ($lesseq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1)), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1))), 0)),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[149, 148])).
% 0.19/0.47  tff(151,plain,
% 0.19/0.47      ((~($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1)), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1))) = 0)) | $greatereq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1)), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1))), 0)),
% 0.19/0.47      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.47  tff(152,plain,
% 0.19/0.47      ($greatereq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1)), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1))), 0)),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[151, 148])).
% 0.19/0.47  tff(153,plain,
% 0.19/0.47      (tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1)) = tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)),
% 0.19/0.47      inference(theory_lemma,[status(thm)],[152, 150])).
% 0.19/0.47  tff(154,plain,
% 0.19/0.47      (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1) = tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))),
% 0.19/0.47      inference(symmetry,[status(thm)],[153])).
% 0.19/0.47  tff(155,plain,
% 0.19/0.47      (tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1)))),
% 0.19/0.47      inference(monotonicity,[status(thm)],[154])).
% 0.19/0.47  tff(156,plain,
% 0.19/0.47      (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)) = tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))),
% 0.19/0.47      inference(monotonicity,[status(thm)],[155])).
% 0.19/0.47  tff(157,plain,
% 0.19/0.47      (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1)) = tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1))),
% 0.19/0.47      inference(symmetry,[status(thm)],[156])).
% 0.19/0.47  tff(158,plain,
% 0.19/0.47      (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1)) = tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)),
% 0.19/0.47      inference(transitivity,[status(thm)],[157, 146, 122])).
% 0.19/0.47  tff(159,plain,
% 0.19/0.47      (tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1))),
% 0.19/0.47      inference(monotonicity,[status(thm)],[158])).
% 0.19/0.47  tff(160,plain,
% 0.19/0.47      (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))) = tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))),
% 0.19/0.47      inference(monotonicity,[status(thm)],[159])).
% 0.19/0.47  tff(161,plain,
% 0.19/0.47      ((~($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0)) | $lesseq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0)),
% 0.19/0.47      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.47  tff(162,plain,
% 0.19/0.47      ($lesseq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0)),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[161, 69])).
% 0.19/0.47  tff(163,plain,
% 0.19/0.47      (A__questionmark_i!1 = tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))),
% 0.19/0.47      inference(theory_lemma,[status(thm)],[71, 162])).
% 0.19/0.47  tff(164,plain,
% 0.19/0.47      (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1) = tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))),
% 0.19/0.47      inference(monotonicity,[status(thm)],[64, 163])).
% 0.19/0.47  tff(165,plain,
% 0.19/0.47      (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))) = tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)),
% 0.19/0.47      inference(symmetry,[status(thm)],[164])).
% 0.19/0.47  tff(166,plain,
% 0.19/0.47      (key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1))),
% 0.19/0.47      inference(monotonicity,[status(thm)],[165])).
% 0.19/0.47  tff(167,plain,
% 0.19/0.47      ((~(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)))) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)))), 0)),
% 0.19/0.47      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.47  tff(168,plain,
% 0.19/0.47      ($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)))), 0)),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[167, 166])).
% 0.19/0.47  tff(169,plain,
% 0.19/0.47      (key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)) = key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)))),
% 0.19/0.47      inference(monotonicity,[status(thm)],[121])).
% 0.19/0.47  tff(170,plain,
% 0.19/0.47      ((~(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)) = key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1))))) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1))))), 0)),
% 0.19/0.47      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.47  tff(171,plain,
% 0.19/0.47      ($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1))))), 0)),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[170, 169])).
% 0.19/0.47  tff(172,plain,
% 0.19/0.47      (($lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))), 0) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_v_1_2)))) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0)))))) | (~$lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))), 0))),
% 0.19/0.47      inference(tautology,[status(thm)],[])).
% 0.19/0.47  tff(173,plain,
% 0.19/0.47      (~$lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))), 0)),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[172, 41])).
% 0.19/0.47  tff(174,plain,
% 0.19/0.47      (key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))) = key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1))),
% 0.19/0.47      inference(monotonicity,[status(thm)],[153])).
% 0.19/0.47  tff(175,plain,
% 0.19/0.47      ((~(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))) = key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)))), 0)),
% 0.19/0.47      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.47  tff(176,plain,
% 0.19/0.47      ($greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)))), 0)),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[175, 174])).
% 0.19/0.47  tff(177,assumption,(~$lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))))), 0)), introduced(assumption)).
% 0.19/0.47  tff(178,plain,
% 0.19/0.47      (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1)) = tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1))),
% 0.19/0.47      inference(transitivity,[status(thm)],[157, 146])).
% 0.19/0.47  tff(179,plain,
% 0.19/0.47      (key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))) = key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1)))),
% 0.19/0.47      inference(monotonicity,[status(thm)],[178])).
% 0.19/0.47  tff(180,plain,
% 0.19/0.47      ((~(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))) = key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1))))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1))))), 0)),
% 0.19/0.47      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.47  tff(181,plain,
% 0.19/0.47      ($greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $sum(-1, A__questionmark_i!1))))), 0)),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[180, 179])).
% 0.19/0.47  tff(182,plain,
% 0.19/0.47      ($false),
% 0.19/0.47      inference(theory_lemma,[status(thm)],[181, 177, 176, 173, 171])).
% 0.19/0.47  tff(183,plain,($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))))), 0)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.47  tff(184,assumption,($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)))), 0)), introduced(assumption)).
% 0.19/0.47  tff(185,assumption,($greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))))), 0)), introduced(assumption)).
% 0.19/0.47  tff(186,plain,
% 0.19/0.47      ($false),
% 0.19/0.47      inference(theory_lemma,[status(thm)],[185, 61, 184, 183])).
% 0.19/0.47  tff(187,plain,((~$greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))))), 0)) | (~$lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)))), 0))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.48  tff(188,plain,
% 0.19/0.48      (~$greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))))), 0)),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[187, 168])).
% 0.19/0.48  tff(189,plain,
% 0.19/0.48      ((~(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))))), 0)),
% 0.19/0.48      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.48  tff(190,plain,
% 0.19/0.48      (~(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))))),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[189, 188])).
% 0.19/0.48  tff(191,assumption,($lesseq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 1)), introduced(assumption)).
% 0.19/0.48  tff(192,assumption,(~$lesseq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 0)), introduced(assumption)).
% 0.19/0.48  tff(193,plain,
% 0.19/0.48      ($sum(-1, A__questionmark_i!1) = tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))),
% 0.19/0.48      inference(theory_lemma,[status(thm)],[192, 191])).
% 0.19/0.48  tff(194,plain,
% 0.19/0.48      (tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)) = $sum(-1, A__questionmark_i!1)),
% 0.19/0.48      inference(symmetry,[status(thm)],[193])).
% 0.19/0.48  tff(195,plain,
% 0.19/0.48      (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))) = tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))),
% 0.19/0.48      inference(monotonicity,[status(thm)],[63, 194])).
% 0.19/0.48  tff(196,plain,
% 0.19/0.48      (key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1)))),
% 0.19/0.48      inference(monotonicity,[status(thm)],[195])).
% 0.19/0.48  tff(197,assumption,(~(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))))), introduced(assumption)).
% 0.19/0.48  tff(198,plain,
% 0.19/0.48      ($false),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[197, 196])).
% 0.19/0.48  tff(199,plain,((~$lesseq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 1)) | (key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1)))) | $lesseq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 0)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.48  tff(200,plain,
% 0.19/0.48      (~$lesseq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 1)),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[199, 190, 73])).
% 0.19/0.48  tff(201,plain,
% 0.19/0.48      ((~($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = 1)) | $lesseq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 1)),
% 0.19/0.48      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.48  tff(202,plain,
% 0.19/0.48      (~($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = 1)),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[201, 200])).
% 0.19/0.48  tff(203,plain,
% 0.19/0.48      (((~![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))) | (($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = 1) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))) = 0))) <=> ((~![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = 1) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))) = 0))),
% 0.19/0.48      inference(rewrite,[status(thm)],[])).
% 0.19/0.48  tff(204,plain,
% 0.19/0.48      ((($sum($sum(-1, A__questionmark_i!1), $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))) = 0)) <=> (($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = 1) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))) = 0))),
% 0.19/0.48      inference(rewrite,[status(thm)],[])).
% 0.19/0.48  tff(205,plain,
% 0.19/0.48      (((~![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))) | (($sum($sum(-1, A__questionmark_i!1), $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))) = 0))) <=> ((~![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))) | (($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = 1) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))) = 0)))),
% 0.19/0.48      inference(monotonicity,[status(thm)],[204])).
% 0.19/0.48  tff(206,plain,
% 0.19/0.48      (((~![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))) | (($sum($sum(-1, A__questionmark_i!1), $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))) = 0))) <=> ((~![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = 1) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))) = 0))),
% 0.19/0.48      inference(transitivity,[status(thm)],[205, 203])).
% 0.19/0.48  tff(207,plain,
% 0.19/0.48      ((~![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))) | (($sum($sum(-1, A__questionmark_i!1), $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))) = 0))),
% 0.19/0.48      inference(quant_inst,[status(thm)],[])).
% 0.19/0.48  tff(208,plain,
% 0.19/0.48      ((~![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = 1) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))) = 0)),
% 0.19/0.48      inference(modus_ponens,[status(thm)],[207, 206])).
% 0.19/0.48  tff(209,plain,
% 0.19/0.48      (($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = 1) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))) = 0)),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[208, 91])).
% 0.19/0.48  tff(210,plain,
% 0.19/0.48      ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))) = 0),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[209, 202])).
% 0.19/0.48  tff(211,plain,
% 0.19/0.48      ((~($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))) = 0)) | $lesseq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))), 0)),
% 0.19/0.48      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.48  tff(212,plain,
% 0.19/0.48      ($lesseq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))), 0)),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[211, 210])).
% 0.19/0.48  tff(213,plain,
% 0.19/0.48      ((~($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))) = 0)) | $greatereq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))), 0)),
% 0.19/0.48      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.48  tff(214,plain,
% 0.19/0.48      ($greatereq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))), 0)),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[213, 210])).
% 0.19/0.48  tff(215,plain,
% 0.19/0.48      (tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))) = tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))),
% 0.19/0.48      inference(theory_lemma,[status(thm)],[214, 212])).
% 0.19/0.48  tff(216,plain,
% 0.19/0.48      (tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))) = tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))),
% 0.19/0.48      inference(transitivity,[status(thm)],[215, 160, 101, 66])).
% 0.19/0.48  tff(217,plain,
% 0.19/0.48      (key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))),
% 0.19/0.48      inference(monotonicity,[status(thm)],[216])).
% 0.19/0.48  tff(218,plain,
% 0.19/0.48      (key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))),
% 0.19/0.48      inference(symmetry,[status(thm)],[217])).
% 0.19/0.48  tff(219,plain,
% 0.19/0.48      ((~(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))))), 0)),
% 0.19/0.48      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.48  tff(220,plain,
% 0.19/0.48      ($greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))))), 0)),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[219, 218])).
% 0.19/0.48  tff(221,plain,
% 0.19/0.48      ((~$lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))))), 0)) | (~$greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))))), 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)))), 0)) | (~$greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)))), 0))),
% 0.19/0.48      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.48  tff(222,plain,
% 0.19/0.48      (~$lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))))), 0)),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[221, 168, 176, 61, 220])).
% 0.19/0.48  tff(223,plain,
% 0.19/0.48      (($lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))), 0) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_v_1_2)))) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0)))))) | (~$greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0))),
% 0.19/0.48      inference(tautology,[status(thm)],[])).
% 0.19/0.48  tff(224,plain,
% 0.19/0.48      (~$greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0)),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[223, 41])).
% 0.19/0.48  tff(225,plain,
% 0.19/0.48      ((~$greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 1)) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0)),
% 0.19/0.48      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.48  tff(226,plain,
% 0.19/0.48      (~$greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 1)),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[225, 224])).
% 0.19/0.48  tff(227,plain,
% 0.19/0.48      (($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 1)) | $greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)),
% 0.19/0.48      inference(tautology,[status(thm)],[])).
% 0.19/0.48  tff(228,plain,
% 0.19/0.48      ($greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[227, 59])).
% 0.19/0.48  tff(229,plain,
% 0.19/0.48      (($lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))), 0) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_v_1_2)))) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0)))))) | ![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))),
% 0.19/0.48      inference(tautology,[status(thm)],[])).
% 0.19/0.48  tff(230,plain,
% 0.19/0.48      (![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[229, 41])).
% 0.19/0.48  tff(231,plain,
% 0.19/0.48      (((~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | ((~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $lesseq(A__questionmark_i!1, 1) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 1) | $lesseq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 1) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))))), 0))) <=> ((~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $lesseq(A__questionmark_i!1, 1) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 1) | $lesseq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 1) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))))), 0))),
% 0.19/0.48      inference(rewrite,[status(thm)],[])).
% 0.19/0.48  tff(232,plain,
% 0.19/0.48      (($lesseq(A__questionmark_i!1, 1) | $lesseq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 1) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 1) | $false | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))))), 0)) <=> ((~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $lesseq(A__questionmark_i!1, 1) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 1) | $lesseq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 1) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))))), 0))),
% 0.19/0.48      inference(rewrite,[status(thm)],[])).
% 0.19/0.48  tff(233,plain,
% 0.19/0.48      ($greatereq($sum($product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1)))), key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))), 0) <=> $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))))), 0)),
% 0.19/0.48      inference(rewrite,[status(thm)],[])).
% 0.19/0.48  tff(234,plain,
% 0.19/0.48      ($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))) = $sum($product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1)))), key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))))),
% 0.19/0.48      inference(rewrite,[status(thm)],[])).
% 0.19/0.48  tff(235,plain,
% 0.19/0.48      ($greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))), 0) <=> $greatereq($sum($product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1)))), key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))), 0)),
% 0.19/0.48      inference(monotonicity,[status(thm)],[234])).
% 0.19/0.48  tff(236,plain,
% 0.19/0.48      ($greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))), 0) <=> $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))))), 0)),
% 0.19/0.48      inference(transitivity,[status(thm)],[235, 233])).
% 0.19/0.48  tff(237,plain,
% 0.19/0.48      ((-1 = 0) <=> $false),
% 0.19/0.48      inference(rewrite,[status(thm)],[])).
% 0.19/0.48  tff(238,plain,
% 0.19/0.48      (($sum($sum(-1, A__questionmark_i!1), $product(-1, A__questionmark_i!1)) = 0) <=> (-1 = 0)),
% 0.19/0.48      inference(monotonicity,[status(thm)],[48])).
% 0.19/0.48  tff(239,plain,
% 0.19/0.48      (($sum($sum(-1, A__questionmark_i!1), $product(-1, A__questionmark_i!1)) = 0) <=> $false),
% 0.19/0.48      inference(transitivity,[status(thm)],[238, 237])).
% 0.19/0.48  tff(240,plain,
% 0.19/0.48      ($greatereq($sum(-1, $sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0)))), 0) <=> $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 1)),
% 0.19/0.48      inference(rewrite,[status(thm)],[])).
% 0.19/0.48  tff(241,plain,
% 0.19/0.48      ($sum($sum(-1, A__questionmark_i!1), $product(-1, size(A__questionmark_pp!0))) = $sum(-1, $sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))))),
% 0.19/0.48      inference(rewrite,[status(thm)],[])).
% 0.19/0.48  tff(242,plain,
% 0.19/0.48      ($greatereq($sum($sum(-1, A__questionmark_i!1), $product(-1, size(A__questionmark_pp!0))), 0) <=> $greatereq($sum(-1, $sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0)))), 0)),
% 0.19/0.48      inference(monotonicity,[status(thm)],[241])).
% 0.19/0.48  tff(243,plain,
% 0.19/0.48      ($greatereq($sum($sum(-1, A__questionmark_i!1), $product(-1, size(A__questionmark_pp!0))), 0) <=> $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 1)),
% 0.19/0.48      inference(transitivity,[status(thm)],[242, 240])).
% 0.19/0.48  tff(244,plain,
% 0.19/0.48      ($lesseq($sum(-1, $sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))), 0) <=> $lesseq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 1)),
% 0.19/0.49      inference(rewrite,[status(thm)],[])).
% 0.19/0.49  tff(245,plain,
% 0.19/0.49      ($sum($sum(-1, A__questionmark_i!1), $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = $sum(-1, $sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))))),
% 0.19/0.49      inference(rewrite,[status(thm)],[])).
% 0.19/0.49  tff(246,plain,
% 0.19/0.49      ($lesseq($sum($sum(-1, A__questionmark_i!1), $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 0) <=> $lesseq($sum(-1, $sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))), 0)),
% 0.19/0.49      inference(monotonicity,[status(thm)],[245])).
% 0.19/0.49  tff(247,plain,
% 0.19/0.49      ($lesseq($sum($sum(-1, A__questionmark_i!1), $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 0) <=> $lesseq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 1)),
% 0.19/0.49      inference(transitivity,[status(thm)],[246, 244])).
% 0.19/0.49  tff(248,plain,
% 0.19/0.49      ($lesseq($sum(-1, A__questionmark_i!1), 0) <=> $lesseq(A__questionmark_i!1, 1)),
% 0.19/0.49      inference(rewrite,[status(thm)],[])).
% 0.19/0.49  tff(249,plain,
% 0.19/0.49      (($lesseq($sum(-1, A__questionmark_i!1), 0) | $lesseq($sum($sum(-1, A__questionmark_i!1), $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 0) | $greatereq($sum($sum(-1, A__questionmark_i!1), $product(-1, size(A__questionmark_pp!0))), 0) | ($sum($sum(-1, A__questionmark_i!1), $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))), 0)) <=> ($lesseq(A__questionmark_i!1, 1) | $lesseq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 1) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 1) | $false | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))))), 0))),
% 0.19/0.49      inference(monotonicity,[status(thm)],[248, 247, 243, 239, 236])).
% 0.19/0.49  tff(250,plain,
% 0.19/0.49      (($lesseq($sum(-1, A__questionmark_i!1), 0) | $lesseq($sum($sum(-1, A__questionmark_i!1), $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 0) | $greatereq($sum($sum(-1, A__questionmark_i!1), $product(-1, size(A__questionmark_pp!0))), 0) | ($sum($sum(-1, A__questionmark_i!1), $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))), 0)) <=> ((~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $lesseq(A__questionmark_i!1, 1) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 1) | $lesseq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 1) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))))), 0))),
% 0.19/0.49      inference(transitivity,[status(thm)],[249, 232])).
% 0.19/0.49  tff(251,plain,
% 0.19/0.49      (((~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | ($lesseq($sum(-1, A__questionmark_i!1), 0) | $lesseq($sum($sum(-1, A__questionmark_i!1), $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 0) | $greatereq($sum($sum(-1, A__questionmark_i!1), $product(-1, size(A__questionmark_pp!0))), 0) | ($sum($sum(-1, A__questionmark_i!1), $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))), 0))) <=> ((~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | ((~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $lesseq(A__questionmark_i!1, 1) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 1) | $lesseq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 1) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))))), 0)))),
% 0.19/0.49      inference(monotonicity,[status(thm)],[250])).
% 0.19/0.49  tff(252,plain,
% 0.19/0.49      (((~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | ($lesseq($sum(-1, A__questionmark_i!1), 0) | $lesseq($sum($sum(-1, A__questionmark_i!1), $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 0) | $greatereq($sum($sum(-1, A__questionmark_i!1), $product(-1, size(A__questionmark_pp!0))), 0) | ($sum($sum(-1, A__questionmark_i!1), $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))), 0))) <=> ((~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $lesseq(A__questionmark_i!1, 1) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 1) | $lesseq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 1) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))))), 0))),
% 0.19/0.49      inference(transitivity,[status(thm)],[251, 231])).
% 0.19/0.49  tff(253,plain,
% 0.19/0.49      ((~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | ($lesseq($sum(-1, A__questionmark_i!1), 0) | $lesseq($sum($sum(-1, A__questionmark_i!1), $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 0) | $greatereq($sum($sum(-1, A__questionmark_i!1), $product(-1, size(A__questionmark_pp!0))), 0) | ($sum($sum(-1, A__questionmark_i!1), $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))), 0))),
% 0.19/0.49      inference(quant_inst,[status(thm)],[])).
% 0.19/0.49  tff(254,plain,
% 0.19/0.49      ((~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $lesseq(A__questionmark_i!1, 1) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 1) | $lesseq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 1) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))))), 0)),
% 0.19/0.49      inference(modus_ponens,[status(thm)],[253, 252])).
% 0.19/0.49  tff(255,plain,
% 0.19/0.49      ($lesseq(A__questionmark_i!1, 1) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))))), 0)),
% 0.19/0.49      inference(unit_resolution,[status(thm)],[254, 230, 228, 200, 226])).
% 0.19/0.49  tff(256,plain,
% 0.19/0.49      ($lesseq(A__questionmark_i!1, 1)),
% 0.19/0.49      inference(unit_resolution,[status(thm)],[255, 222])).
% 0.19/0.49  tff(257,plain,
% 0.19/0.49      ($false),
% 0.19/0.49      inference(theory_lemma,[status(thm)],[228, 200, 256])).
% 0.19/0.49  tff(258,plain,(~($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.49  tff(259,plain,
% 0.19/0.49      (((~![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))) | (($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))))) = 0))) <=> ((~![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))))) = 0))),
% 0.19/0.49      inference(rewrite,[status(thm)],[])).
% 0.19/0.49  tff(260,plain,
% 0.19/0.49      ((~![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))) | (($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))))) = 0))),
% 0.19/0.49      inference(quant_inst,[status(thm)],[])).
% 0.19/0.49  tff(261,plain,
% 0.19/0.49      ((~![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))))) = 0)),
% 0.19/0.49      inference(modus_ponens,[status(thm)],[260, 259])).
% 0.19/0.49  tff(262,plain,
% 0.19/0.49      (($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))))) = 0)),
% 0.19/0.49      inference(unit_resolution,[status(thm)],[261, 91])).
% 0.19/0.49  tff(263,plain,
% 0.19/0.49      ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))))) = 0),
% 0.19/0.49      inference(unit_resolution,[status(thm)],[262, 258])).
% 0.19/0.49  tff(264,plain,
% 0.19/0.49      ((~($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))))) = 0)) | $lesseq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))))), 0)),
% 0.19/0.49      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.49  tff(265,plain,
% 0.19/0.49      ($lesseq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))))), 0)),
% 0.19/0.49      inference(unit_resolution,[status(thm)],[264, 263])).
% 0.19/0.49  tff(266,plain,
% 0.19/0.49      ((~($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))))) = 0)) | $greatereq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))))), 0)),
% 0.19/0.49      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.49  tff(267,plain,
% 0.19/0.49      ($greatereq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))))), 0)),
% 0.19/0.49      inference(unit_resolution,[status(thm)],[266, 263])).
% 0.19/0.49  tff(268,plain,
% 0.19/0.49      (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))) = tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))),
% 0.19/0.49      inference(theory_lemma,[status(thm)],[267, 265])).
% 0.19/0.49  tff(269,plain,
% 0.19/0.49      (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))) = tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))),
% 0.19/0.49      inference(monotonicity,[status(thm)],[159])).
% 0.19/0.49  tff(270,plain,
% 0.19/0.49      (($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 1)) | (~($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 1))),
% 0.19/0.49      inference(tautology,[status(thm)],[])).
% 0.19/0.49  tff(271,plain,
% 0.19/0.49      (~($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 1)),
% 0.19/0.49      inference(unit_resolution,[status(thm)],[270, 59])).
% 0.19/0.49  tff(272,plain,
% 0.19/0.49      (((~![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))) | (($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 1) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))))) = 0))) <=> ((~![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 1) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))))) = 0))),
% 0.19/0.49      inference(rewrite,[status(thm)],[])).
% 0.19/0.49  tff(273,plain,
% 0.19/0.49      ((($sum($sum(-1, A__questionmark_i!1), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))))) = 0)) <=> (($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 1) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))))) = 0))),
% 0.19/0.49      inference(rewrite,[status(thm)],[])).
% 0.19/0.49  tff(274,plain,
% 0.19/0.49      (((~![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))) | (($sum($sum(-1, A__questionmark_i!1), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))))) = 0))) <=> ((~![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))) | (($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 1) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))))) = 0)))),
% 0.19/0.49      inference(monotonicity,[status(thm)],[273])).
% 0.19/0.49  tff(275,plain,
% 0.19/0.49      (((~![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))) | (($sum($sum(-1, A__questionmark_i!1), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))))) = 0))) <=> ((~![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 1) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))))) = 0))),
% 0.19/0.49      inference(transitivity,[status(thm)],[274, 272])).
% 0.19/0.49  tff(276,plain,
% 0.19/0.49      ((~![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))) | (($sum($sum(-1, A__questionmark_i!1), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))))) = 0))),
% 0.19/0.49      inference(quant_inst,[status(thm)],[])).
% 0.19/0.49  tff(277,plain,
% 0.19/0.49      ((~![A: 'Array[Int,Int]', I: $int, J: $int, E: $int] : (($sum(I, $product(-1, J)) = 0) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(A, J), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(A, I, E), J))) = 0))) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 1) | ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))))) = 0)),
% 0.19/0.49      inference(modus_ponens,[status(thm)],[276, 275])).
% 0.19/0.49  tff(278,plain,
% 0.19/0.49      ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))))) = 0),
% 0.19/0.49      inference(unit_resolution,[status(thm)],[277, 91, 271])).
% 0.19/0.49  tff(279,plain,
% 0.19/0.49      ((~($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))))) = 0)) | $lesseq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))))), 0)),
% 0.19/0.49      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.49  tff(280,plain,
% 0.19/0.49      ($lesseq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))))), 0)),
% 0.19/0.49      inference(unit_resolution,[status(thm)],[279, 278])).
% 0.19/0.49  tff(281,plain,
% 0.19/0.49      ((~($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))))) = 0)) | $greatereq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))))), 0)),
% 0.19/0.49      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.49  tff(282,plain,
% 0.19/0.49      ($greatereq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))))), 0)),
% 0.19/0.49      inference(unit_resolution,[status(thm)],[281, 278])).
% 0.19/0.49  tff(283,plain,
% 0.19/0.49      (tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))) = tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))),
% 0.19/0.49      inference(theory_lemma,[status(thm)],[282, 280])).
% 0.19/0.49  tff(284,plain,
% 0.19/0.49      (tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))) = tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))),
% 0.19/0.49      inference(transitivity,[status(thm)],[283, 269, 268, 65])).
% 0.19/0.49  tff(285,plain,
% 0.19/0.49      (key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))))),
% 0.19/0.49      inference(monotonicity,[status(thm)],[284])).
% 0.19/0.49  tff(286,plain,
% 0.19/0.49      (key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))))),
% 0.19/0.49      inference(symmetry,[status(thm)],[285])).
% 0.19/0.49  tff(287,plain,
% 0.19/0.49      ((~(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0)),
% 0.19/0.49      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.49  tff(288,plain,
% 0.19/0.49      ($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0)),
% 0.19/0.49      inference(unit_resolution,[status(thm)],[287, 286])).
% 0.19/0.49  tff(289,plain,
% 0.19/0.49      (($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 1)) | (~$lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0))),
% 0.19/0.49      inference(tautology,[status(thm)],[])).
% 0.19/0.49  tff(290,plain,
% 0.19/0.49      (~$lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0)),
% 0.19/0.49      inference(unit_resolution,[status(thm)],[289, 59])).
% 0.19/0.49  tff(291,plain,
% 0.19/0.49      (($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 1)) | (~$lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0))),
% 0.19/0.50      inference(tautology,[status(thm)],[])).
% 0.19/0.50  tff(292,plain,
% 0.19/0.50      (~$lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0)),
% 0.19/0.50      inference(unit_resolution,[status(thm)],[291, 59])).
% 0.19/0.50  tff(293,plain,
% 0.19/0.50      (((~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | ($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0))) <=> ((~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0))),
% 0.19/0.50      inference(rewrite,[status(thm)],[])).
% 0.19/0.50  tff(294,plain,
% 0.19/0.50      (($lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0)) <=> ($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0))),
% 0.19/0.50      inference(rewrite,[status(thm)],[])).
% 0.19/0.50  tff(295,plain,
% 0.19/0.50      (($sum($product(-1, A__questionmark_i!1), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))) = 0) <=> ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0)),
% 0.19/0.50      inference(rewrite,[status(thm)],[])).
% 0.19/0.50  tff(296,plain,
% 0.19/0.50      ($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, A__questionmark_i!1)) = $sum($product(-1, A__questionmark_i!1), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))),
% 0.19/0.50      inference(rewrite,[status(thm)],[])).
% 0.19/0.50  tff(297,plain,
% 0.19/0.50      (($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, A__questionmark_i!1)) = 0) <=> ($sum($product(-1, A__questionmark_i!1), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))) = 0)),
% 0.19/0.50      inference(monotonicity,[status(thm)],[296])).
% 0.19/0.50  tff(298,plain,
% 0.19/0.50      (($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, A__questionmark_i!1)) = 0) <=> ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0)),
% 0.19/0.50      inference(transitivity,[status(thm)],[297, 295])).
% 0.19/0.50  tff(299,plain,
% 0.19/0.50      ($greatereq($sum($product(-1, size(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))), 0) <=> $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0)),
% 0.19/0.50      inference(rewrite,[status(thm)],[])).
% 0.19/0.50  tff(300,plain,
% 0.19/0.50      ($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, size(A__questionmark_pp!0))) = $sum($product(-1, size(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))),
% 0.19/0.50      inference(rewrite,[status(thm)],[])).
% 0.19/0.50  tff(301,plain,
% 0.19/0.50      ($greatereq($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, size(A__questionmark_pp!0))), 0) <=> $greatereq($sum($product(-1, size(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))), 0)),
% 0.19/0.50      inference(monotonicity,[status(thm)],[300])).
% 0.19/0.50  tff(302,plain,
% 0.19/0.50      ($greatereq($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, size(A__questionmark_pp!0))), 0) <=> $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0)),
% 0.19/0.50      inference(transitivity,[status(thm)],[301, 299])).
% 0.19/0.50  tff(303,plain,
% 0.19/0.50      ($lesseq($sum($product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))), 0) <=> $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0)),
% 0.19/0.50      inference(rewrite,[status(thm)],[])).
% 0.19/0.50  tff(304,plain,
% 0.19/0.50      ($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = $sum($product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))),
% 0.19/0.50      inference(rewrite,[status(thm)],[])).
% 0.19/0.50  tff(305,plain,
% 0.19/0.50      ($lesseq($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 0) <=> $lesseq($sum($product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))), 0)),
% 0.19/0.50      inference(monotonicity,[status(thm)],[304])).
% 0.19/0.50  tff(306,plain,
% 0.19/0.50      ($lesseq($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 0) <=> $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0)),
% 0.19/0.50      inference(transitivity,[status(thm)],[305, 303])).
% 0.19/0.50  tff(307,plain,
% 0.19/0.50      (($lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 0) | $greatereq($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0)) <=> ($lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0))),
% 0.19/0.50      inference(monotonicity,[status(thm)],[306, 302, 298])).
% 0.19/0.50  tff(308,plain,
% 0.19/0.50      (($lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 0) | $greatereq($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0)) <=> ($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0))),
% 0.19/0.50      inference(transitivity,[status(thm)],[307, 294])).
% 0.19/0.50  tff(309,plain,
% 0.19/0.50      (((~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | ($lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 0) | $greatereq($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0))) <=> ((~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | ($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0)))),
% 0.19/0.50      inference(monotonicity,[status(thm)],[308])).
% 0.19/0.50  tff(310,plain,
% 0.19/0.50      (((~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | ($lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 0) | $greatereq($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0))) <=> ((~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0))),
% 0.19/0.50      inference(transitivity,[status(thm)],[309, 293])).
% 0.19/0.50  tff(311,plain,
% 0.19/0.50      ((~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | ($lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 0) | $greatereq($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0))),
% 0.19/0.50      inference(quant_inst,[status(thm)],[])).
% 0.19/0.50  tff(312,plain,
% 0.19/0.50      ((~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0)),
% 0.19/0.50      inference(modus_ponens,[status(thm)],[311, 310])).
% 0.19/0.50  tff(313,plain,
% 0.19/0.50      ($greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0)),
% 0.19/0.50      inference(unit_resolution,[status(thm)],[312, 230, 292, 290, 228, 68, 258])).
% 0.19/0.50  tff(314,plain,
% 0.19/0.50      (~($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = 0)),
% 0.19/0.50      inference(unit_resolution,[status(thm)],[74, 192])).
% 0.19/0.50  tff(315,plain,
% 0.19/0.50      ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))) = 0),
% 0.19/0.50      inference(unit_resolution,[status(thm)],[95, 314])).
% 0.19/0.50  tff(316,plain,
% 0.19/0.50      ($lesseq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))), 0)),
% 0.19/0.50      inference(unit_resolution,[status(thm)],[97, 315])).
% 0.19/0.50  tff(317,plain,
% 0.19/0.50      ($greatereq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))), 0)),
% 0.19/0.50      inference(unit_resolution,[status(thm)],[99, 315])).
% 0.19/0.50  tff(318,plain,
% 0.19/0.50      (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))) = tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))),
% 0.19/0.50      inference(theory_lemma,[status(thm)],[317, 316])).
% 0.19/0.50  tff(319,assumption,($greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0)), introduced(assumption)).
% 0.19/0.50  tff(320,plain,
% 0.19/0.50      ($false),
% 0.19/0.50      inference(theory_lemma,[status(thm)],[288, 185, 61, 173, 171, 181, 319])).
% 0.19/0.50  tff(321,plain,((~$greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))))), 0)) | (~$greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.50  tff(322,plain,
% 0.19/0.50      (~$greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))))), 0)),
% 0.19/0.50      inference(unit_resolution,[status(thm)],[321, 319])).
% 0.19/0.50  tff(323,plain,
% 0.19/0.50      (~(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))))),
% 0.19/0.50      inference(unit_resolution,[status(thm)],[189, 322])).
% 0.19/0.50  tff(324,plain,
% 0.19/0.50      (~$lesseq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 1)),
% 0.19/0.50      inference(unit_resolution,[status(thm)],[199, 323, 192])).
% 0.19/0.50  tff(325,plain,
% 0.19/0.50      (~($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = 1)),
% 0.19/0.50      inference(unit_resolution,[status(thm)],[201, 324])).
% 0.19/0.50  tff(326,plain,
% 0.19/0.50      ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))) = 0),
% 0.19/0.50      inference(unit_resolution,[status(thm)],[209, 325])).
% 0.19/0.50  tff(327,plain,
% 0.19/0.50      ($lesseq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))), 0)),
% 0.19/0.50      inference(unit_resolution,[status(thm)],[211, 326])).
% 0.19/0.50  tff(328,plain,
% 0.19/0.50      ($greatereq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))), 0)),
% 0.19/0.50      inference(unit_resolution,[status(thm)],[213, 326])).
% 0.19/0.50  tff(329,plain,
% 0.19/0.50      (tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))) = tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))),
% 0.19/0.50      inference(theory_lemma,[status(thm)],[328, 327])).
% 0.19/0.50  tff(330,plain,
% 0.19/0.50      (tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))) = tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))),
% 0.19/0.50      inference(transitivity,[status(thm)],[329, 160, 318, 66])).
% 0.19/0.50  tff(331,plain,
% 0.19/0.50      (key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))),
% 0.19/0.50      inference(monotonicity,[status(thm)],[330])).
% 0.19/0.50  tff(332,plain,
% 0.19/0.50      (key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))),
% 0.19/0.50      inference(symmetry,[status(thm)],[331])).
% 0.19/0.50  tff(333,plain,
% 0.19/0.50      ($greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))))), 0)),
% 0.19/0.50      inference(unit_resolution,[status(thm)],[219, 332])).
% 0.19/0.50  tff(334,plain,
% 0.19/0.50      ((~$lesseq(A__questionmark_i!1, 1)) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | $lesseq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 1)),
% 0.19/0.50      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.50  tff(335,plain,
% 0.19/0.50      (~$lesseq(A__questionmark_i!1, 1)),
% 0.19/0.50      inference(unit_resolution,[status(thm)],[334, 324, 228])).
% 0.19/0.50  tff(336,plain,
% 0.19/0.50      ($lesseq(A__questionmark_i!1, 1) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))))), 0)),
% 0.19/0.50      inference(unit_resolution,[status(thm)],[254, 230, 228, 324, 226])).
% 0.19/0.50  tff(337,plain,
% 0.19/0.50      ($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))))), 0)),
% 0.19/0.50      inference(unit_resolution,[status(thm)],[336, 335])).
% 0.19/0.50  tff(338,plain,
% 0.19/0.50      ($false),
% 0.19/0.50      inference(theory_lemma,[status(thm)],[288, 61, 337, 333, 319])).
% 0.19/0.50  tff(339,plain,((~$greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0)) | $lesseq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 0)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.50  tff(340,plain,
% 0.19/0.50      (~$greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0)),
% 0.19/0.50      inference(unit_resolution,[status(thm)],[339, 192])).
% 0.19/0.50  tff(341,plain,
% 0.19/0.50      (($lesseq(A__questionmark_i!1, 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, size(A__questionmark_pp!0))), 0) | (~$greatereq(A__questionmark_i!1, 0)) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))))), 0) | (~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | (~![A__questionmark_v_1_2: $int] : ((~($sum(A__questionmark_v_1_2, $product(-1, A__questionmark_i!1)) = -1)) | (~($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_v_1_2, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0) | (~$greatereq(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), 0)) | (~(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)) = tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), A__questionmark_v_1_2, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_v_1_2)))) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0)))))) | (~$lesseq(A__questionmark_i!1, 0))),
% 0.19/0.50      inference(tautology,[status(thm)],[])).
% 0.19/0.50  tff(342,plain,
% 0.19/0.50      (~$lesseq(A__questionmark_i!1, 0)),
% 0.19/0.50      inference(unit_resolution,[status(thm)],[341, 41])).
% 0.19/0.50  tff(343,plain,
% 0.19/0.50      ($greatereq(A__questionmark_i!1, 1) | $lesseq(A__questionmark_i!1, 0)),
% 0.19/0.50      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.50  tff(344,plain,
% 0.19/0.50      ($greatereq(A__questionmark_i!1, 1)),
% 0.19/0.50      inference(unit_resolution,[status(thm)],[343, 342])).
% 0.19/0.50  tff(345,plain,
% 0.19/0.50      (((~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | ($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | (~$greatereq(A__questionmark_i!1, 1)) | $greatereq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 1) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0))) <=> ((~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | (~$greatereq(A__questionmark_i!1, 1)) | $greatereq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 1) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0))),
% 0.19/0.50      inference(rewrite,[status(thm)],[])).
% 0.19/0.50  tff(346,plain,
% 0.19/0.50      (($lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 1) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | (~$greatereq(A__questionmark_i!1, 1)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0)) <=> ($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | (~$greatereq(A__questionmark_i!1, 1)) | $greatereq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 1) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0))),
% 0.19/0.50      inference(rewrite,[status(thm)],[])).
% 0.19/0.50  tff(347,plain,
% 0.19/0.50      ((~$greatereq($sum(-1, A__questionmark_i!1), 0)) <=> (~$greatereq(A__questionmark_i!1, 1))),
% 0.19/0.50      inference(rewrite,[status(thm)],[])).
% 0.19/0.50  tff(348,plain,
% 0.19/0.50      ($lesseq($sum(1, $sum($product(-1, A__questionmark_i!1), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) <=> $greatereq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 1)),
% 0.19/0.50      inference(rewrite,[status(thm)],[])).
% 0.19/0.50  tff(349,plain,
% 0.19/0.50      ($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $sum(1, $product(-1, A__questionmark_i!1))) = $sum(1, $sum($product(-1, A__questionmark_i!1), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))))),
% 0.19/0.50      inference(rewrite,[status(thm)],[])).
% 0.19/0.50  tff(350,plain,
% 0.19/0.50      ($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, $sum(-1, A__questionmark_i!1))) = $sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $sum(1, $product(-1, A__questionmark_i!1)))),
% 0.19/0.50      inference(monotonicity,[status(thm)],[129])).
% 0.19/0.50  tff(351,plain,
% 0.19/0.50      ($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, $sum(-1, A__questionmark_i!1))) = $sum(1, $sum($product(-1, A__questionmark_i!1), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0))))),
% 0.19/0.50      inference(transitivity,[status(thm)],[350, 349])).
% 0.19/0.50  tff(352,plain,
% 0.19/0.50      ($lesseq($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, $sum(-1, A__questionmark_i!1))), 0) <=> $lesseq($sum(1, $sum($product(-1, A__questionmark_i!1), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0)),
% 0.19/0.50      inference(monotonicity,[status(thm)],[351])).
% 0.19/0.50  tff(353,plain,
% 0.19/0.50      ($lesseq($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, $sum(-1, A__questionmark_i!1))), 0) <=> $greatereq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 1)),
% 0.19/0.50      inference(transitivity,[status(thm)],[352, 348])).
% 0.19/0.50  tff(354,plain,
% 0.19/0.50      (($lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, $sum(-1, A__questionmark_i!1))), 0) | $greatereq($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq($sum(-1, A__questionmark_i!1), 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0)) <=> ($lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $greatereq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 1) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | (~$greatereq(A__questionmark_i!1, 1)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0))),
% 0.19/0.50      inference(monotonicity,[status(thm)],[353, 302, 298, 347])).
% 0.19/0.50  tff(355,plain,
% 0.19/0.50      (($lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, $sum(-1, A__questionmark_i!1))), 0) | $greatereq($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq($sum(-1, A__questionmark_i!1), 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0)) <=> ($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | (~$greatereq(A__questionmark_i!1, 1)) | $greatereq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 1) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0))),
% 0.19/0.50      inference(transitivity,[status(thm)],[354, 346])).
% 0.19/0.50  tff(356,plain,
% 0.19/0.50      (((~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | ($lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, $sum(-1, A__questionmark_i!1))), 0) | $greatereq($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq($sum(-1, A__questionmark_i!1), 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0))) <=> ((~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | ($lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | (~$greatereq(A__questionmark_i!1, 1)) | $greatereq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 1) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0)))),
% 0.19/0.51      inference(monotonicity,[status(thm)],[355])).
% 0.19/0.51  tff(357,plain,
% 0.19/0.51      (((~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | ($lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, $sum(-1, A__questionmark_i!1))), 0) | $greatereq($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq($sum(-1, A__questionmark_i!1), 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0))) <=> ((~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | (~$greatereq(A__questionmark_i!1, 1)) | $greatereq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 1) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0))),
% 0.19/0.51      inference(transitivity,[status(thm)],[356, 345])).
% 0.19/0.51  tff(358,plain,
% 0.19/0.51      ((~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | ($lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | $lesseq($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, $sum(-1, A__questionmark_i!1))), 0) | $greatereq($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq($sum(-1, A__questionmark_i!1), 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0))),
% 0.19/0.51      inference(quant_inst,[status(thm)],[])).
% 0.19/0.51  tff(359,plain,
% 0.19/0.51      ((~![A__questionmark_j: $int, A__questionmark_k: $int] : ($lesseq(A__questionmark_j, 0) | $lesseq($sum(A__questionmark_j, $product(-1, A__questionmark_k)), 0) | $greatereq($sum(A__questionmark_j, $product(-1, size(A__questionmark_pp!0))), 0) | ($sum(A__questionmark_j, $product(-1, A__questionmark_i!1)) = 0) | (~$greatereq(A__questionmark_k, 0)) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_k)), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_j)))), 0))) | $lesseq($sum(size(A__questionmark_pp!0), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | $lesseq(tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)), 0) | ($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))) = 0) | (~$greatereq(A__questionmark_i!1, 1)) | $greatereq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 1) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0)),
% 0.19/0.51      inference(modus_ponens,[status(thm)],[358, 357])).
% 0.19/0.51  tff(360,plain,
% 0.19/0.51      ($greatereq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 1) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0)),
% 0.19/0.51      inference(unit_resolution,[status(thm)],[359, 230, 292, 290, 258, 344])).
% 0.19/0.51  tff(361,plain,
% 0.19/0.51      ($greatereq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 1)),
% 0.19/0.51      inference(unit_resolution,[status(thm)],[360, 340])).
% 0.19/0.51  tff(362,plain,
% 0.19/0.51      ((~$lesseq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 1)) | (~$greatereq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 1)) | $greatereq($sum(tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)), $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0)),
% 0.19/0.51      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.51  tff(363,plain,
% 0.19/0.51      (~$lesseq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 1)),
% 0.19/0.51      inference(unit_resolution,[status(thm)],[362, 361, 68])).
% 0.19/0.51  tff(364,plain,
% 0.19/0.51      (~($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = 1)),
% 0.19/0.51      inference(unit_resolution,[status(thm)],[201, 363])).
% 0.19/0.51  tff(365,plain,
% 0.19/0.51      ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))) = 0),
% 0.19/0.51      inference(unit_resolution,[status(thm)],[209, 364])).
% 0.19/0.51  tff(366,plain,
% 0.19/0.51      ($lesseq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))), 0)),
% 0.19/0.51      inference(unit_resolution,[status(thm)],[211, 365])).
% 0.19/0.51  tff(367,plain,
% 0.19/0.51      ($greatereq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))), 0)),
% 0.19/0.51      inference(unit_resolution,[status(thm)],[213, 365])).
% 0.19/0.51  tff(368,plain,
% 0.19/0.51      (tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))) = tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))),
% 0.19/0.51      inference(theory_lemma,[status(thm)],[367, 366])).
% 0.19/0.51  tff(369,plain,
% 0.19/0.51      (tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))) = tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))),
% 0.19/0.51      inference(transitivity,[status(thm)],[368, 160, 318, 66])).
% 0.19/0.51  tff(370,plain,
% 0.19/0.51      (key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))),
% 0.19/0.51      inference(monotonicity,[status(thm)],[369])).
% 0.19/0.51  tff(371,plain,
% 0.19/0.51      (key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))),
% 0.19/0.51      inference(symmetry,[status(thm)],[370])).
% 0.19/0.51  tff(372,plain,
% 0.19/0.51      ($greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))))), 0)),
% 0.19/0.51      inference(unit_resolution,[status(thm)],[219, 371])).
% 0.19/0.51  tff(373,plain,
% 0.19/0.51      ($false),
% 0.19/0.51      inference(theory_lemma,[status(thm)],[288, 61, 372, 313])).
% 0.19/0.51  tff(374,plain,($lesseq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 0)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.51  tff(375,assumption,($greatereq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 0)), introduced(assumption)).
% 0.19/0.51  tff(376,plain,
% 0.19/0.51      (A__questionmark_i!1 = tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))),
% 0.19/0.51      inference(theory_lemma,[status(thm)],[375, 374])).
% 0.19/0.51  tff(377,plain,
% 0.19/0.51      (tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)) = A__questionmark_i!1),
% 0.19/0.51      inference(symmetry,[status(thm)],[376])).
% 0.19/0.51  tff(378,plain,
% 0.19/0.51      (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))) = tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)),
% 0.19/0.51      inference(monotonicity,[status(thm)],[63, 377])).
% 0.19/0.51  tff(379,plain,
% 0.19/0.51      (key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1))),
% 0.19/0.51      inference(monotonicity,[status(thm)],[378])).
% 0.19/0.51  tff(380,plain,
% 0.19/0.51      ((~$lesseq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 0)) | (~$greatereq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0))),
% 0.19/0.51      inference(unit_resolution,[status(thm)],[72, 68])).
% 0.19/0.51  tff(381,plain,
% 0.19/0.51      (~$greatereq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0)),
% 0.19/0.51      inference(unit_resolution,[status(thm)],[380, 374])).
% 0.19/0.51  tff(382,plain,
% 0.19/0.51      ($greatereq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 0) | (~$greatereq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 1))),
% 0.19/0.51      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.51  tff(383,plain,
% 0.19/0.51      (~$greatereq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))), 1)),
% 0.19/0.51      inference(unit_resolution,[status(thm)],[382, 381])).
% 0.19/0.51  tff(384,plain,
% 0.19/0.51      ($greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0)),
% 0.19/0.51      inference(unit_resolution,[status(thm)],[360, 383])).
% 0.19/0.51  tff(385,plain,
% 0.19/0.51      ((~(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))) = key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)))) | $lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)))), 0)),
% 0.19/0.51      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.51  tff(386,plain,
% 0.19/0.51      ($lesseq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)))), 0)),
% 0.19/0.51      inference(unit_resolution,[status(thm)],[385, 174])).
% 0.19/0.51  tff(387,assumption,($greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)))), 0)), introduced(assumption)).
% 0.19/0.51  tff(388,plain,
% 0.19/0.51      ($false),
% 0.19/0.51      inference(theory_lemma,[status(thm)],[387, 386, 384, 288, 61])).
% 0.19/0.51  tff(389,plain,(~$greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)))), 0)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.51  tff(390,plain,
% 0.19/0.51      ((~(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)))) | $greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)))), 0)),
% 0.19/0.51      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.51  tff(391,plain,
% 0.19/0.51      (~(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), A__questionmark_i!1)))),
% 0.19/0.51      inference(unit_resolution,[status(thm)],[390, 389])).
% 0.19/0.51  tff(392,plain,
% 0.19/0.51      ($false),
% 0.19/0.51      inference(unit_resolution,[status(thm)],[391, 379])).
% 0.19/0.51  tff(393,plain,(~$greatereq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 0)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.51  tff(394,plain,
% 0.19/0.51      ((~($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = 0)) | $greatereq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 0)),
% 0.19/0.51      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.51  tff(395,plain,
% 0.19/0.51      (~($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = 0)),
% 0.19/0.51      inference(unit_resolution,[status(thm)],[394, 393])).
% 0.19/0.51  tff(396,plain,
% 0.19/0.51      ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))) = 0),
% 0.19/0.51      inference(unit_resolution,[status(thm)],[95, 395])).
% 0.19/0.51  tff(397,plain,
% 0.19/0.51      ($lesseq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))), 0)),
% 0.19/0.51      inference(unit_resolution,[status(thm)],[97, 396])).
% 0.19/0.51  tff(398,plain,
% 0.19/0.51      ($greatereq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))), 0)),
% 0.19/0.51      inference(unit_resolution,[status(thm)],[99, 396])).
% 0.19/0.51  tff(399,plain,
% 0.19/0.51      (tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))) = tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))),
% 0.19/0.51      inference(theory_lemma,[status(thm)],[398, 397])).
% 0.19/0.51  tff(400,plain,
% 0.19/0.51      ((~$greatereq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 1)) | $greatereq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 0)),
% 0.19/0.51      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.51  tff(401,plain,
% 0.19/0.51      (~$greatereq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 1)),
% 0.19/0.51      inference(unit_resolution,[status(thm)],[400, 393])).
% 0.19/0.51  tff(402,plain,
% 0.19/0.51      ((~($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = 1)) | $greatereq($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), 1)),
% 0.19/0.51      inference(theory_lemma,[status(thm)],[])).
% 0.19/0.51  tff(403,plain,
% 0.19/0.51      (~($sum(A__questionmark_i!1, $product(-1, tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = 1)),
% 0.19/0.51      inference(unit_resolution,[status(thm)],[402, 401])).
% 0.19/0.51  tff(404,plain,
% 0.19/0.51      ($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))) = 0),
% 0.19/0.51      inference(unit_resolution,[status(thm)],[208, 91, 403])).
% 0.19/0.51  tff(405,plain,
% 0.19/0.51      ($lesseq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))), 0)),
% 0.19/0.51      inference(unit_resolution,[status(thm)],[211, 404])).
% 0.19/0.51  tff(406,plain,
% 0.19/0.51      ($greatereq($sum(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))), $product(-1, tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))), 0)),
% 0.19/0.51      inference(unit_resolution,[status(thm)],[213, 404])).
% 0.19/0.51  tff(407,plain,
% 0.19/0.51      (tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))) = tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(tptp_fun__store__Array_Int_Int__Int_Int__Array_Int_Int__(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1), tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), A__questionmark_i!1)), A__questionmark_i!1, tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), $sum(-1, A__questionmark_i!1))), $sum(-1, A__questionmark_i!1))), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))),
% 0.19/0.51      inference(theory_lemma,[status(thm)],[406, 405])).
% 0.19/0.51  tff(408,plain,
% 0.19/0.51      (tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))) = tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))),
% 0.19/0.51      inference(transitivity,[status(thm)],[407, 160, 399, 66])).
% 0.19/0.51  tff(409,plain,
% 0.19/0.51      (key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))),
% 0.19/0.51      inference(monotonicity,[status(thm)],[408])).
% 0.19/0.51  tff(410,plain,
% 0.19/0.51      (key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))) = key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0))))),
% 0.19/0.51      inference(symmetry,[status(thm)],[409])).
% 0.19/0.51  tff(411,plain,
% 0.19/0.51      ($greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(tptp_fun_A__questionmark_ee_2(elems(A__questionmark_pp!0)), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))))), 0)),
% 0.19/0.51      inference(unit_resolution,[status(thm)],[219, 410])).
% 0.19/0.51  tff(412,assumption,(~$greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0)), introduced(assumption)).
% 0.19/0.51  tff(413,plain,
% 0.19/0.51      ($false),
% 0.19/0.51      inference(unit_resolution,[status(thm)],[312, 230, 292, 290, 228, 68, 258, 412])).
% 0.19/0.51  tff(414,plain,($greatereq($sum(key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_k_3(elems(A__questionmark_pp!0)))), $product(-1, key(tptp_fun__select__Array_Int_Int__Int__Int_(elems(A__questionmark_pp!0), tptp_fun_A__questionmark_j_4(elems(A__questionmark_pp!0)))))), 0)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.51  tff(415,plain,
% 0.19/0.51      ($false),
% 0.19/0.51      inference(theory_lemma,[status(thm)],[414, 411, 288, 61])).
% 0.19/0.51  % SZS output end Proof
%------------------------------------------------------------------------------