TSTP Solution File: TOP050-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : TOP050-1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n024.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 : 600s
% DateTime : Thu Jul 21 21:37:55 EDT 2022
% Result : Unsatisfiable 0.58s 1.05s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : TOP050-1 : TPTP v8.1.0. Released v8.1.0.
% 0.04/0.12 % Command : woody %s
% 0.11/0.33 % Computer : n024.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sun May 29 03:47:06 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.55/0.95 ********************************************************************************
% 0.55/0.95 * W A L D M E I S T E R \| \ / \|/ *
% 0.55/0.95 * |/ | \/ | *
% 0.55/0.95 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.55/0.95 * A. Jaeger and B. Loechner | | *
% 0.55/0.95 * <waldmeister@informatik.uni-kl.de> | *
% 0.55/0.95 ********************************************************************************
% 0.55/0.95
% 0.55/0.95
% 0.55/0.95 Goals:
% 0.55/0.95 ------
% 0.55/0.95
% 0.55/0.95 ( 1) tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ?=? tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
% 0.55/0.95
% 0.55/0.95 Detected structure: Orkus
% 0.55/0.95 ********************************************************************************
% 0.55/0.95 ****************************** COMPLETION - PROOF ******************************
% 0.55/0.95 ********************************************************************************
% 0.55/0.95
% 0.58/1.05 joined goal: 1 tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ?= tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) to tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6)
% 0.58/1.05 goal joined
% 0.58/1.05 % SZS status Unsatisfiable
% 0.58/1.05 #START OF PROOF
% 0.58/1.05 % SZS output start CNFRefutation
% 0.58/1.05 cnf('0.1.0.0',axiom,
% 0.58/1.05 ( X1 = product(X1,X1) ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.1.1.0',plain,
% 0.58/1.05 ( X1 = product(X1,X1) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.58/1.05 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.58/1.05 cnf('0.1.2.0',plain,
% 0.58/1.05 ( product(X1,X1) = X1 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_1]).
% 0.58/1.05 cnf('0.2.0.0',axiom,
% 0.58/1.05 ( X1 = product(product(X1,X2),X2) ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.2.1.0',plain,
% 0.58/1.05 ( X1 = product(product(X1,X2),X2) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.58/1.05 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.58/1.05 cnf('0.2.2.0',plain,
% 0.58/1.05 ( product(product(X1,X2),X2) = X1 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_2]).
% 0.58/1.05 cnf('0.3.0.0',axiom,
% 0.58/1.05 ( product(product(X1,X2),X3) = product(product(X1,X3),product(X2,X3)) ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.3.1.0',plain,
% 0.58/1.05 ( product(product(X1,X2),X3) = product(product(X1,X3),product(X2,X3)) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.58/1.05 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.58/1.05 cnf('0.3.2.0',plain,
% 0.58/1.05 ( product(product(X1,X2),product(X3,X2)) = product(product(X1,X3),X2) ),
% 0.58/1.05 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_3]).
% 0.58/1.05 cnf('0.4.0.0',axiom,
% 0.58/1.05 ( product(a3,a29) = a4 ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.4.1.0',plain,
% 0.58/1.05 ( product(a3,a29) = a4 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.58/1.05 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.58/1.05 cnf('0.4.2.0',plain,
% 0.58/1.05 ( product(a3,a29) = a4 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_4]).
% 0.58/1.05 cnf('0.5.0.0',axiom,
% 0.58/1.05 ( product(a5,a15) = a6 ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.5.1.0',plain,
% 0.58/1.05 ( product(a5,a15) = a6 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.58/1.05 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.58/1.05 cnf('0.5.2.0',plain,
% 0.58/1.05 ( product(a5,a15) = a6 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_5]).
% 0.58/1.05 cnf('0.6.0.0',axiom,
% 0.58/1.05 ( product(a19,a11) = a20 ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.6.1.0',plain,
% 0.58/1.05 ( product(a19,a11) = a20 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.58/1.05 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.58/1.05 cnf('0.6.2.0',plain,
% 0.58/1.05 ( product(a19,a11) = a20 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_6]).
% 0.58/1.05 cnf('0.7.0.0',axiom,
% 0.58/1.05 ( product(a21,a25) = a22 ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.7.1.0',plain,
% 0.58/1.05 ( product(a21,a25) = a22 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.58/1.05 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.58/1.05 cnf('0.7.2.0',plain,
% 0.58/1.05 ( product(a21,a25) = a22 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_7]).
% 0.58/1.05 cnf('0.8.0.0',axiom,
% 0.58/1.05 ( product(a1,a31) = a2 ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.8.1.0',plain,
% 0.58/1.05 ( product(a1,a31) = a2 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.58/1.05 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.58/1.05 cnf('0.8.2.0',plain,
% 0.58/1.05 ( product(a1,a31) = a2 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_8]).
% 0.58/1.05 cnf('0.9.0.0',axiom,
% 0.58/1.05 ( product(a31,a3) = a32 ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.9.1.0',plain,
% 0.58/1.05 ( product(a31,a3) = a32 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.58/1.05 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.58/1.05 cnf('0.9.2.0',plain,
% 0.58/1.05 ( product(a31,a3) = a32 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_9]).
% 0.58/1.05 cnf('0.10.0.0',axiom,
% 0.58/1.05 ( product(a25,a23) = a26 ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.10.1.0',plain,
% 0.58/1.05 ( product(a25,a23) = a26 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.58/1.05 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.58/1.05 cnf('0.10.2.0',plain,
% 0.58/1.05 ( product(a25,a23) = a26 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_10]).
% 0.58/1.05 cnf('0.11.0.0',axiom,
% 0.58/1.05 ( product(a29,a1) = a30 ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.11.1.0',plain,
% 0.58/1.05 ( product(a29,a1) = a30 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.58/1.05 [weight('<10,0,0,[0,0,0,11]>')]).
% 0.58/1.05 cnf('0.11.2.0',plain,
% 0.58/1.05 ( product(a29,a1) = a30 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_11]).
% 0.58/1.05 cnf('0.12.0.0',axiom,
% 0.58/1.05 ( product(a11,a5) = a12 ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.12.1.0',plain,
% 0.58/1.05 ( product(a11,a5) = a12 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.58/1.05 [weight('<11,0,0,[0,0,0,12]>')]).
% 0.58/1.05 cnf('0.12.2.0',plain,
% 0.58/1.05 ( product(a11,a5) = a12 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_12]).
% 0.58/1.05 cnf('0.13.0.0',axiom,
% 0.58/1.05 ( product(a15,a5) = a16 ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.13.1.0',plain,
% 0.58/1.05 ( product(a15,a5) = a16 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.58/1.05 [weight('<12,0,0,[0,0,0,13]>')]).
% 0.58/1.05 cnf('0.13.2.0',plain,
% 0.58/1.05 ( product(a15,a5) = a16 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_13]).
% 0.58/1.05 cnf('0.14.0.0',axiom,
% 0.58/1.05 ( product(a17,a9) = a18 ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.14.1.0',plain,
% 0.58/1.05 ( product(a17,a9) = a18 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.58/1.05 [weight('<13,0,0,[0,0,0,14]>')]).
% 0.58/1.05 cnf('0.14.2.0',plain,
% 0.58/1.05 ( product(a17,a9) = a18 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_14]).
% 0.58/1.05 cnf('0.15.0.0',axiom,
% 0.58/1.05 ( product(a23,a21) = a24 ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.15.1.0',plain,
% 0.58/1.05 ( product(a23,a21) = a24 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.58/1.05 [weight('<14,0,0,[0,0,0,15]>')]).
% 0.58/1.05 cnf('0.15.2.0',plain,
% 0.58/1.05 ( product(a23,a21) = a24 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_15]).
% 0.58/1.05 cnf('0.16.0.0',axiom,
% 0.58/1.05 ( product(a9,a17) = a10 ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.16.1.0',plain,
% 0.58/1.05 ( product(a9,a17) = a10 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.58/1.05 [weight('<15,0,0,[0,0,0,16]>')]).
% 0.58/1.05 cnf('0.16.2.0',plain,
% 0.58/1.05 ( product(a9,a17) = a10 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_16]).
% 0.58/1.05 cnf('0.17.0.0',axiom,
% 0.58/1.05 ( product(a7,a19) = a8 ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.17.1.0',plain,
% 0.58/1.05 ( product(a7,a19) = a8 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.58/1.05 [weight('<16,0,0,[0,0,0,17]>')]).
% 0.58/1.05 cnf('0.17.2.0',plain,
% 0.58/1.05 ( product(a7,a19) = a8 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_17]).
% 0.58/1.05 cnf('0.18.0.0',axiom,
% 0.58/1.05 ( product(a32,a21) = a1 ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.18.1.0',plain,
% 0.58/1.05 ( product(a32,a21) = a1 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.58/1.05 [weight('<17,0,0,[0,0,0,18]>')]).
% 0.58/1.05 cnf('0.18.2.0',plain,
% 0.58/1.05 ( product(a32,a21) = a1 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_18]).
% 0.58/1.05 cnf('0.19.0.0',axiom,
% 0.58/1.05 ( product(a2,a25) = a3 ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.19.1.0',plain,
% 0.58/1.05 ( product(a2,a25) = a3 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.58/1.05 [weight('<18,0,0,[0,0,0,19]>')]).
% 0.58/1.05 cnf('0.19.2.0',plain,
% 0.58/1.05 ( product(a2,a25) = a3 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_19]).
% 0.58/1.05 cnf('0.20.0.0',axiom,
% 0.58/1.05 ( product(a30,a23) = a31 ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.20.1.0',plain,
% 0.58/1.05 ( product(a30,a23) = a31 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.58/1.05 [weight('<19,0,0,[0,0,0,20]>')]).
% 0.58/1.05 cnf('0.20.2.0',plain,
% 0.58/1.05 ( product(a30,a23) = a31 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_20]).
% 0.58/1.05 cnf('0.21.0.0',axiom,
% 0.58/1.05 ( product(a4,a11) = a5 ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.21.1.0',plain,
% 0.58/1.05 ( product(a4,a11) = a5 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.21.0.0']),
% 0.58/1.05 [weight('<20,0,0,[0,0,0,21]>')]).
% 0.58/1.05 cnf('0.21.2.0',plain,
% 0.58/1.05 ( product(a4,a11) = a5 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_21]).
% 0.58/1.05 cnf('0.22.0.0',axiom,
% 0.58/1.05 ( product(a8,a5) = a9 ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.22.1.0',plain,
% 0.58/1.05 ( product(a8,a5) = a9 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.58/1.05 [weight('<21,0,0,[0,0,0,22]>')]).
% 0.58/1.05 cnf('0.22.2.0',plain,
% 0.58/1.05 ( product(a8,a5) = a9 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_22]).
% 0.58/1.05 cnf('0.23.0.0',axiom,
% 0.58/1.05 ( product(a10,a7) = a11 ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.23.1.0',plain,
% 0.58/1.05 ( product(a10,a7) = a11 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.58/1.05 [weight('<22,0,0,[0,0,0,23]>')]).
% 0.58/1.05 cnf('0.23.2.0',plain,
% 0.58/1.05 ( product(a10,a7) = a11 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_23]).
% 0.58/1.05 cnf('0.24.0.0',axiom,
% 0.58/1.05 ( product(a16,a19) = a17 ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.24.1.0',plain,
% 0.58/1.05 ( product(a16,a19) = a17 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.58/1.05 [weight('<23,0,0,[0,0,0,24]>')]).
% 0.58/1.05 cnf('0.24.2.0',plain,
% 0.58/1.05 ( product(a16,a19) = a17 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_24]).
% 0.58/1.05 cnf('0.25.0.0',axiom,
% 0.58/1.05 ( product(a18,a15) = a19 ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.25.1.0',plain,
% 0.58/1.05 ( product(a18,a15) = a19 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.58/1.05 [weight('<24,0,0,[0,0,0,25]>')]).
% 0.58/1.05 cnf('0.25.2.0',plain,
% 0.58/1.05 ( product(a18,a15) = a19 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_25]).
% 0.58/1.05 cnf('0.26.0.0',axiom,
% 0.58/1.05 ( product(a12,a19) = a13 ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.26.1.0',plain,
% 0.58/1.05 ( product(a12,a19) = a13 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.58/1.05 [weight('<25,0,0,[0,0,0,26]>')]).
% 0.58/1.05 cnf('0.26.2.0',plain,
% 0.58/1.05 ( product(a12,a19) = a13 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_26]).
% 0.58/1.05 cnf('0.27.0.0',axiom,
% 0.58/1.05 ( product(a14,a17) = a15 ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.27.1.0',plain,
% 0.58/1.05 ( product(a14,a17) = a15 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.58/1.05 [weight('<26,0,0,[0,0,0,27]>')]).
% 0.58/1.05 cnf('0.27.2.0',plain,
% 0.58/1.05 ( product(a14,a17) = a15 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_27]).
% 0.58/1.05 cnf('0.28.0.0',axiom,
% 0.58/1.05 ( product(a13,a7) = a14 ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.28.1.0',plain,
% 0.58/1.05 ( product(a13,a7) = a14 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.28.0.0']),
% 0.58/1.05 [weight('<27,0,0,[0,0,0,28]>')]).
% 0.58/1.05 cnf('0.28.2.0',plain,
% 0.58/1.05 ( product(a13,a7) = a14 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_28]).
% 0.58/1.05 cnf('0.29.0.0',axiom,
% 0.58/1.05 ( product(a20,a29) = a21 ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.29.1.0',plain,
% 0.58/1.05 ( product(a20,a29) = a21 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.29.0.0']),
% 0.58/1.05 [weight('<28,0,0,[0,0,0,29]>')]).
% 0.58/1.05 cnf('0.29.2.0',plain,
% 0.58/1.05 ( product(a20,a29) = a21 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_29]).
% 0.58/1.05 cnf('0.30.0.0',axiom,
% 0.58/1.05 ( product(a22,a31) = a23 ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.30.1.0',plain,
% 0.58/1.05 ( product(a22,a31) = a23 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.58/1.05 [weight('<29,0,0,[0,0,0,30]>')]).
% 0.58/1.05 cnf('0.30.2.0',plain,
% 0.58/1.05 ( product(a22,a31) = a23 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_30]).
% 0.58/1.05 cnf('0.31.0.0',axiom,
% 0.58/1.05 ( product(a24,a3) = a25 ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.31.1.0',plain,
% 0.58/1.05 ( product(a24,a3) = a25 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.31.0.0']),
% 0.58/1.05 [weight('<30,0,0,[0,0,0,31]>')]).
% 0.58/1.05 cnf('0.31.2.0',plain,
% 0.58/1.05 ( product(a24,a3) = a25 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_31]).
% 0.58/1.05 cnf('0.32.0.0',axiom,
% 0.58/1.05 ( product(a26,a1) = a27 ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.32.1.0',plain,
% 0.58/1.05 ( product(a26,a1) = a27 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.32.0.0']),
% 0.58/1.05 [weight('<31,0,0,[0,0,0,32]>')]).
% 0.58/1.05 cnf('0.32.2.0',plain,
% 0.58/1.05 ( product(a26,a1) = a27 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_32]).
% 0.58/1.05 cnf('0.33.0.0',axiom,
% 0.58/1.05 ( product(a28,a3) = a29 ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.33.1.0',plain,
% 0.58/1.05 ( product(a28,a3) = a29 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.33.0.0']),
% 0.58/1.05 [weight('<32,0,0,[0,0,0,33]>')]).
% 0.58/1.05 cnf('0.33.2.0',plain,
% 0.58/1.05 ( product(a28,a3) = a29 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_33]).
% 0.58/1.05 cnf('0.34.0.0',axiom,
% 0.58/1.05 ( product(a27,a21) = a28 ),
% 0.58/1.05 file('/tmp/WALDMEISTER_7642_n024')).
% 0.58/1.05 cnf('0.34.1.0',plain,
% 0.58/1.05 ( product(a27,a21) = a28 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.34.0.0']),
% 0.58/1.05 [weight('<33,0,0,[0,0,0,34]>')]).
% 0.58/1.05 cnf('0.34.2.0',plain,
% 0.58/1.05 ( product(a27,a21) = a28 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_34]).
% 0.58/1.05 cnf('0.38.0.0',plain,
% 0.58/1.05 ( a21 = product(a22,a25) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.2.2.0','0.7.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.38.1.0',plain,
% 0.58/1.05 ( a21 = product(a22,a25) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.38.0.0']),
% 0.58/1.05 [weight('<19,7,2,[0,0,0,1]>')]).
% 0.58/1.05 cnf('0.38.2.0',plain,
% 0.58/1.05 ( product(a22,a25) = a21 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_38]).
% 0.58/1.05 cnf('0.39.0.0',plain,
% 0.58/1.05 ( a1 = product(a2,a31) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.2.2.0','0.8.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.39.1.0',plain,
% 0.58/1.05 ( a1 = product(a2,a31) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.39.0.0']),
% 0.58/1.05 [weight('<19,8,2,[0,0,0,1]>')]).
% 0.58/1.05 cnf('0.39.2.0',plain,
% 0.58/1.05 ( product(a2,a31) = a1 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_39]).
% 0.58/1.05 cnf('0.41.0.0',plain,
% 0.58/1.05 ( a25 = product(a26,a23) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.2.2.0','0.10.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.41.1.0',plain,
% 0.58/1.05 ( a25 = product(a26,a23) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.41.0.0']),
% 0.58/1.05 [weight('<19,10,2,[0,0,0,1]>')]).
% 0.58/1.05 cnf('0.41.2.0',plain,
% 0.58/1.05 ( product(a26,a23) = a25 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_41]).
% 0.58/1.05 cnf('0.43.0.0',plain,
% 0.58/1.05 ( a11 = product(a12,a5) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.2.2.0','0.12.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.43.1.0',plain,
% 0.58/1.05 ( a11 = product(a12,a5) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.43.0.0']),
% 0.58/1.05 [weight('<19,12,2,[0,0,0,1]>')]).
% 0.58/1.05 cnf('0.43.2.0',plain,
% 0.58/1.05 ( product(a12,a5) = a11 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_43]).
% 0.58/1.05 cnf('0.45.0.0',plain,
% 0.58/1.05 ( a17 = product(a18,a9) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.2.2.0','0.14.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.45.1.0',plain,
% 0.58/1.05 ( a17 = product(a18,a9) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.45.0.0']),
% 0.58/1.05 [weight('<19,14,2,[0,0,0,1]>')]).
% 0.58/1.05 cnf('0.45.2.0',plain,
% 0.58/1.05 ( product(a18,a9) = a17 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_45]).
% 0.58/1.05 cnf('0.48.0.0',plain,
% 0.58/1.05 ( a7 = product(a8,a19) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.2.2.0','0.17.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.48.1.0',plain,
% 0.58/1.05 ( a7 = product(a8,a19) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.48.0.0']),
% 0.58/1.05 [weight('<19,17,2,[0,0,0,1]>')]).
% 0.58/1.05 cnf('0.48.2.0',plain,
% 0.58/1.05 ( product(a8,a19) = a7 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_48]).
% 0.58/1.05 cnf('0.49.0.0',plain,
% 0.58/1.05 ( a32 = product(a1,a21) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.2.2.0','0.18.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.49.1.0',plain,
% 0.58/1.05 ( a32 = product(a1,a21) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.49.0.0']),
% 0.58/1.05 [weight('<19,18,2,[0,0,0,1]>')]).
% 0.58/1.05 cnf('0.49.2.0',plain,
% 0.58/1.05 ( product(a1,a21) = a32 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_49]).
% 0.58/1.05 cnf('0.50.0.0',plain,
% 0.58/1.05 ( a2 = product(a3,a25) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.2.2.0','0.19.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.50.1.0',plain,
% 0.58/1.05 ( a2 = product(a3,a25) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.50.0.0']),
% 0.58/1.05 [weight('<19,19,2,[0,0,0,1]>')]).
% 0.58/1.05 cnf('0.50.2.0',plain,
% 0.58/1.05 ( product(a3,a25) = a2 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_50]).
% 0.58/1.05 cnf('0.51.0.0',plain,
% 0.58/1.05 ( a30 = product(a31,a23) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.2.2.0','0.20.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.51.1.0',plain,
% 0.58/1.05 ( a30 = product(a31,a23) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.51.0.0']),
% 0.58/1.05 [weight('<19,20,2,[0,0,0,1]>')]).
% 0.58/1.05 cnf('0.51.2.0',plain,
% 0.58/1.05 ( product(a31,a23) = a30 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.51.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_51]).
% 0.58/1.05 cnf('0.52.0.0',plain,
% 0.58/1.05 ( a4 = product(a5,a11) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.2.2.0','0.21.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.52.1.0',plain,
% 0.58/1.05 ( a4 = product(a5,a11) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.52.0.0']),
% 0.58/1.05 [weight('<19,21,2,[0,0,0,1]>')]).
% 0.58/1.05 cnf('0.52.2.0',plain,
% 0.58/1.05 ( product(a5,a11) = a4 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_52]).
% 0.58/1.05 cnf('0.53.0.0',plain,
% 0.58/1.05 ( a8 = product(a9,a5) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.2.2.0','0.22.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.53.1.0',plain,
% 0.58/1.05 ( a8 = product(a9,a5) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.53.0.0']),
% 0.58/1.05 [weight('<19,22,2,[0,0,0,1]>')]).
% 0.58/1.05 cnf('0.53.2.0',plain,
% 0.58/1.05 ( product(a9,a5) = a8 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_53]).
% 0.58/1.05 cnf('0.54.0.0',plain,
% 0.58/1.05 ( a10 = product(a11,a7) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.2.2.0','0.23.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.54.1.0',plain,
% 0.58/1.05 ( a10 = product(a11,a7) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.54.0.0']),
% 0.58/1.05 [weight('<19,23,2,[0,0,0,1]>')]).
% 0.58/1.05 cnf('0.54.2.0',plain,
% 0.58/1.05 ( product(a11,a7) = a10 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_54]).
% 0.58/1.05 cnf('0.55.0.0',plain,
% 0.58/1.05 ( a16 = product(a17,a19) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.2.2.0','0.24.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.55.1.0',plain,
% 0.58/1.05 ( a16 = product(a17,a19) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.55.0.0']),
% 0.58/1.05 [weight('<19,24,2,[0,0,0,1]>')]).
% 0.58/1.05 cnf('0.55.2.0',plain,
% 0.58/1.05 ( product(a17,a19) = a16 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_55]).
% 0.58/1.05 cnf('0.56.0.0',plain,
% 0.58/1.05 ( a18 = product(a19,a15) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.2.2.0','0.25.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.56.1.0',plain,
% 0.58/1.05 ( a18 = product(a19,a15) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.56.0.0']),
% 0.58/1.05 [weight('<19,25,2,[0,0,0,1]>')]).
% 0.58/1.05 cnf('0.56.2.0',plain,
% 0.58/1.05 ( product(a19,a15) = a18 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_56]).
% 0.58/1.05 cnf('0.57.0.0',plain,
% 0.58/1.05 ( a12 = product(a13,a19) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.2.2.0','0.26.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.57.1.0',plain,
% 0.58/1.05 ( a12 = product(a13,a19) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.57.0.0']),
% 0.58/1.05 [weight('<19,26,2,[0,0,0,1]>')]).
% 0.58/1.05 cnf('0.57.2.0',plain,
% 0.58/1.05 ( product(a13,a19) = a12 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_57]).
% 0.58/1.05 cnf('0.58.0.0',plain,
% 0.58/1.05 ( a14 = product(a15,a17) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.2.2.0','0.27.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.58.1.0',plain,
% 0.58/1.05 ( a14 = product(a15,a17) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.58.0.0']),
% 0.58/1.05 [weight('<19,27,2,[0,0,0,1]>')]).
% 0.58/1.05 cnf('0.58.2.0',plain,
% 0.58/1.05 ( product(a15,a17) = a14 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_58]).
% 0.58/1.05 cnf('0.59.0.0',plain,
% 0.58/1.05 ( a13 = product(a14,a7) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.2.2.0','0.28.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.59.1.0',plain,
% 0.58/1.05 ( a13 = product(a14,a7) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.59.0.0']),
% 0.58/1.05 [weight('<19,28,2,[0,0,0,1]>')]).
% 0.58/1.05 cnf('0.59.2.0',plain,
% 0.58/1.05 ( product(a14,a7) = a13 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_59]).
% 0.58/1.05 cnf('0.60.0.0',plain,
% 0.58/1.05 ( a20 = product(a21,a29) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.2.2.0','0.29.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.60.1.0',plain,
% 0.58/1.05 ( a20 = product(a21,a29) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.60.0.0']),
% 0.58/1.05 [weight('<19,29,2,[0,0,0,1]>')]).
% 0.58/1.05 cnf('0.60.2.0',plain,
% 0.58/1.05 ( product(a21,a29) = a20 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_60]).
% 0.58/1.05 cnf('0.61.0.0',plain,
% 0.58/1.05 ( a22 = product(a23,a31) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.2.2.0','0.30.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.61.1.0',plain,
% 0.58/1.05 ( a22 = product(a23,a31) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.61.0.0']),
% 0.58/1.05 [weight('<19,30,2,[0,0,0,1]>')]).
% 0.58/1.05 cnf('0.61.2.0',plain,
% 0.58/1.05 ( product(a23,a31) = a22 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_61]).
% 0.58/1.05 cnf('0.62.0.0',plain,
% 0.58/1.05 ( a24 = product(a25,a3) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.2.2.0','0.31.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.62.1.0',plain,
% 0.58/1.05 ( a24 = product(a25,a3) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.62.0.0']),
% 0.58/1.05 [weight('<19,31,2,[0,0,0,1]>')]).
% 0.58/1.05 cnf('0.62.2.0',plain,
% 0.58/1.05 ( product(a25,a3) = a24 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_62]).
% 0.58/1.05 cnf('0.63.0.0',plain,
% 0.58/1.05 ( a26 = product(a27,a1) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.2.2.0','0.32.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.63.1.0',plain,
% 0.58/1.05 ( a26 = product(a27,a1) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.63.0.0']),
% 0.58/1.05 [weight('<19,32,2,[0,0,0,1]>')]).
% 0.58/1.05 cnf('0.63.2.0',plain,
% 0.58/1.05 ( product(a27,a1) = a26 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_63]).
% 0.58/1.05 cnf('0.64.0.0',plain,
% 0.58/1.05 ( a28 = product(a29,a3) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.2.2.0','0.33.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.64.1.0',plain,
% 0.58/1.05 ( a28 = product(a29,a3) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.64.0.0']),
% 0.58/1.05 [weight('<19,33,2,[0,0,0,1]>')]).
% 0.58/1.05 cnf('0.64.2.0',plain,
% 0.58/1.05 ( product(a29,a3) = a28 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_64]).
% 0.58/1.05 cnf('0.65.0.0',plain,
% 0.58/1.05 ( a27 = product(a28,a21) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.2.2.0','0.34.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.65.1.0',plain,
% 0.58/1.05 ( a27 = product(a28,a21) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.65.0.0']),
% 0.58/1.05 [weight('<19,34,2,[0,0,0,1]>')]).
% 0.58/1.05 cnf('0.65.2.0',plain,
% 0.58/1.05 ( product(a28,a21) = a27 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.65.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_65]).
% 0.58/1.05 cnf('0.66.0.0',plain,
% 0.58/1.05 ( product(product(X1,X2),X1) = product(X1,product(X2,X1)) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.66.1.0',plain,
% 0.58/1.05 ( product(product(X1,X2),X1) = product(X1,product(X2,X1)) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.66.0.0']),
% 0.58/1.05 [weight('<65,3,1,[1,0,0,1]>')]).
% 0.58/1.05 cnf('0.66.2.0',plain,
% 0.58/1.05 ( product(product(X1,X2),X1) = product(X1,product(X2,X1)) ),
% 0.58/1.05 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_66]).
% 0.58/1.05 cnf('0.67.0.0',plain,
% 0.58/1.05 ( product(a3,product(a29,a3)) = product(a4,a3) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.66.2.0','0.4.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.67.0.1',plain,
% 0.58/1.05 ( product(a3,a28) = product(a4,a3) ),
% 0.58/1.05 inference(reduction,[status(thm)],['0.67.0.0','0.64.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.2','L')]).
% 0.58/1.05 cnf('0.67.1.0',plain,
% 0.58/1.05 ( product(a3,a28) = product(a4,a3) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.67.0.1']),
% 0.58/1.05 [weight('<27,66,4,[1,0,0,1]>')]).
% 0.58/1.05 cnf('0.67.2.0',plain,
% 0.58/1.05 ( product(a3,a28) = product(a4,a3) ),
% 0.58/1.05 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_67]).
% 0.58/1.05 cnf('0.68.0.0',plain,
% 0.58/1.05 ( product(a5,product(a15,a5)) = product(a6,a5) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.66.2.0','0.5.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.68.0.1',plain,
% 0.58/1.05 ( product(a5,a16) = product(a6,a5) ),
% 0.58/1.05 inference(reduction,[status(thm)],['0.68.0.0','0.13.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.2','L')]).
% 0.58/1.05 cnf('0.68.1.0',plain,
% 0.58/1.05 ( product(a5,a16) = product(a6,a5) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.68.0.1']),
% 0.58/1.05 [weight('<27,66,5,[1,0,0,1]>')]).
% 0.58/1.05 cnf('0.68.2.0',plain,
% 0.58/1.05 ( product(a5,a16) = product(a6,a5) ),
% 0.58/1.05 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_68]).
% 0.58/1.05 cnf('0.72.0.0',plain,
% 0.58/1.05 ( product(a17,product(a9,a17)) = product(a18,a17) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.66.2.0','0.14.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.72.0.1',plain,
% 0.58/1.05 ( product(a17,a10) = product(a18,a17) ),
% 0.58/1.05 inference(reduction,[status(thm)],['0.72.0.0','0.16.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.2','L')]).
% 0.58/1.05 cnf('0.72.1.0',plain,
% 0.58/1.05 ( product(a17,a10) = product(a18,a17) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.72.0.1']),
% 0.58/1.05 [weight('<27,66,14,[1,0,0,1]>')]).
% 0.58/1.05 cnf('0.72.2.0',plain,
% 0.58/1.05 ( product(a17,a10) = product(a18,a17) ),
% 0.58/1.05 inference(orient,[status(thm)],['0.72.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_72]).
% 0.58/1.05 cnf('0.73.0.0',plain,
% 0.58/1.05 ( product(a9,product(a17,a9)) = product(a10,a9) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.66.2.0','0.16.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.73.0.1',plain,
% 0.58/1.05 ( product(a9,a18) = product(a10,a9) ),
% 0.58/1.05 inference(reduction,[status(thm)],['0.73.0.0','0.14.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.2','L')]).
% 0.58/1.05 cnf('0.73.1.0',plain,
% 0.58/1.05 ( product(a9,a18) = product(a10,a9) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.73.0.1']),
% 0.58/1.05 [weight('<27,66,16,[1,0,0,1]>')]).
% 0.58/1.05 cnf('0.73.2.0',plain,
% 0.58/1.05 ( product(a9,a18) = product(a10,a9) ),
% 0.58/1.05 inference(orient,[status(thm)],['0.73.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_73]).
% 0.58/1.05 cnf('0.78.0.0',plain,
% 0.58/1.05 ( product(a25,product(a3,a25)) = product(a24,a25) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.66.2.0','0.62.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.78.0.1',plain,
% 0.58/1.05 ( product(a25,a2) = product(a24,a25) ),
% 0.58/1.05 inference(reduction,[status(thm)],['0.78.0.0','0.50.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.2','L')]).
% 0.58/1.05 cnf('0.78.1.0',plain,
% 0.58/1.05 ( product(a25,a2) = product(a24,a25) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.78.0.1']),
% 0.58/1.05 [weight('<27,66,62,[1,0,0,1]>')]).
% 0.58/1.05 cnf('0.78.2.0',plain,
% 0.58/1.05 ( product(a25,a2) = product(a24,a25) ),
% 0.58/1.05 inference(orient,[status(thm)],['0.78.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_78]).
% 0.58/1.05 cnf('0.92.0.0',plain,
% 0.58/1.05 ( product(a19,product(a11,a19)) = product(a20,a19) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.66.2.0','0.6.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.92.1.0',plain,
% 0.58/1.05 ( product(a19,product(a11,a19)) = product(a20,a19) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.92.0.0']),
% 0.58/1.05 [weight('<53,66,6,[1,0,0,1]>')]).
% 0.58/1.05 cnf('0.92.2.0',plain,
% 0.58/1.05 ( product(a19,product(a11,a19)) = product(a20,a19) ),
% 0.58/1.05 inference(orient,[status(thm)],['0.92.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_92]).
% 0.58/1.05 cnf('0.98.0.0',plain,
% 0.58/1.05 ( product(a23,product(a21,a23)) = product(a24,a23) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.66.2.0','0.15.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.98.1.0',plain,
% 0.58/1.05 ( product(a23,product(a21,a23)) = product(a24,a23) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.98.0.0']),
% 0.58/1.05 [weight('<53,66,15,[1,0,0,1]>')]).
% 0.58/1.05 cnf('0.98.2.0',plain,
% 0.58/1.05 ( product(a23,product(a21,a23)) = product(a24,a23) ),
% 0.58/1.05 inference(orient,[status(thm)],['0.98.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_98]).
% 0.58/1.05 cnf('0.99.0.0',plain,
% 0.58/1.05 ( product(a7,product(a19,a7)) = product(a8,a7) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.66.2.0','0.17.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.99.1.0',plain,
% 0.58/1.05 ( product(a7,product(a19,a7)) = product(a8,a7) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.99.0.0']),
% 0.58/1.05 [weight('<53,66,17,[1,0,0,1]>')]).
% 0.58/1.05 cnf('0.99.2.0',plain,
% 0.58/1.05 ( product(a7,product(a19,a7)) = product(a8,a7) ),
% 0.58/1.05 inference(orient,[status(thm)],['0.99.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_99]).
% 0.58/1.05 cnf('0.128.0.0',plain,
% 0.58/1.05 ( product(a18,product(a9,a18)) = product(a17,a18) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.66.2.0','0.45.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.128.1.0',plain,
% 0.58/1.05 ( product(a18,product(a9,a18)) = product(a17,a18) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.128.0.0']),
% 0.58/1.05 [weight('<53,66,45,[1,0,0,1]>')]).
% 0.58/1.05 cnf('0.128.1.1',plain,
% 0.58/1.05 ( product(a18,product(a10,a9)) = product(a17,a18) ),
% 0.58/1.05 inference(reduction,[status(thm)],['0.128.1.0','0.73.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.2','L')]).
% 0.58/1.05 cnf('0.128.2.0',plain,
% 0.58/1.05 ( product(a18,product(a10,a9)) = product(a17,a18) ),
% 0.58/1.05 inference(orient,[status(thm)],['0.128.1.1',theory(equality)]),
% 0.58/1.05 [u,rule_128]).
% 0.58/1.05 cnf('0.139.0.0',plain,
% 0.58/1.05 ( product(a14,product(a7,a14)) = product(a13,a14) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.66.2.0','0.59.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.139.1.0',plain,
% 0.58/1.05 ( product(a14,product(a7,a14)) = product(a13,a14) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.139.0.0']),
% 0.58/1.05 [weight('<53,66,59,[1,0,0,1]>')]).
% 0.58/1.05 cnf('0.139.2.0',plain,
% 0.58/1.05 ( product(a14,product(a7,a14)) = product(a13,a14) ),
% 0.58/1.05 inference(orient,[status(thm)],['0.139.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_139]).
% 0.58/1.05 cnf('0.219.0.0',plain,
% 0.58/1.05 ( product(product(X1,a21),a25) = product(product(X1,a25),a22) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.3.2.0','0.7.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.2','L')]).
% 0.58/1.05 cnf('0.219.1.0',plain,
% 0.58/1.05 ( product(product(X1,a21),a25) = product(product(X1,a25),a22) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.219.0.0']),
% 0.58/1.05 [weight('<65,7,3,[0,0,0,4]>')]).
% 0.58/1.05 cnf('0.219.2.0',plain,
% 0.58/1.05 ( product(product(X1,a21),a25) = product(product(X1,a25),a22) ),
% 0.58/1.05 inference(orient,[status(thm)],['0.219.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_219]).
% 0.58/1.05 cnf('0.220.0.0',plain,
% 0.58/1.05 ( product(product(a23,a25),a22) = product(a24,a25) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.219.2.0','0.15.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.220.1.0',plain,
% 0.58/1.05 ( product(product(a23,a25),a22) = product(a24,a25) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.220.0.0']),
% 0.58/1.05 [weight('<53,219,15,[1,0,0,1]>')]).
% 0.58/1.05 cnf('0.220.2.0',plain,
% 0.58/1.05 ( product(product(a23,a25),a22) = product(a24,a25) ),
% 0.58/1.05 inference(orient,[status(thm)],['0.220.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_220]).
% 0.58/1.05 cnf('0.230.0.0',plain,
% 0.58/1.05 ( product(product(X1,a1),a31) = product(product(X1,a31),a2) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.3.2.0','0.8.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.2','L')]).
% 0.58/1.05 cnf('0.230.1.0',plain,
% 0.58/1.05 ( product(product(X1,a1),a31) = product(product(X1,a31),a2) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.230.0.0']),
% 0.58/1.05 [weight('<65,8,3,[0,0,0,4]>')]).
% 0.58/1.05 cnf('0.230.2.0',plain,
% 0.58/1.05 ( product(product(X1,a1),a31) = product(product(X1,a31),a2) ),
% 0.58/1.05 inference(orient,[status(thm)],['0.230.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_230]).
% 0.58/1.05 cnf('0.231.0.0',plain,
% 0.58/1.05 ( product(product(a29,a31),a2) = product(a30,a31) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.230.2.0','0.11.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.231.1.0',plain,
% 0.58/1.05 ( product(product(a29,a31),a2) = product(a30,a31) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.231.0.0']),
% 0.58/1.05 [weight('<53,230,11,[1,0,0,1]>')]).
% 0.58/1.05 cnf('0.231.2.0',plain,
% 0.58/1.05 ( product(product(a29,a31),a2) = product(a30,a31) ),
% 0.58/1.05 inference(orient,[status(thm)],['0.231.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_231]).
% 0.58/1.05 cnf('0.235.0.0',plain,
% 0.58/1.05 ( product(product(a31,X1),a3) = product(a32,product(X1,a3)) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.3.2.0','0.9.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.235.1.0',plain,
% 0.58/1.05 ( product(product(a31,X1),a3) = product(a32,product(X1,a3)) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.235.0.0']),
% 0.58/1.05 [weight('<65,9,3,[0,0,0,1]>')]).
% 0.58/1.05 cnf('0.235.2.0',plain,
% 0.58/1.05 ( product(product(a31,X1),a3) = product(a32,product(X1,a3)) ),
% 0.58/1.05 inference(orient,[status(thm)],['0.235.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_235]).
% 0.58/1.05 cnf('0.238.0.0',plain,
% 0.58/1.05 ( product(product(X1,a31),a3) = product(product(X1,a3),a32) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.3.2.0','0.9.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.2','L')]).
% 0.58/1.05 cnf('0.238.1.0',plain,
% 0.58/1.05 ( product(product(X1,a31),a3) = product(product(X1,a3),a32) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.238.0.0']),
% 0.58/1.05 [weight('<65,9,3,[0,0,0,4]>')]).
% 0.58/1.05 cnf('0.238.2.0',plain,
% 0.58/1.05 ( product(product(X1,a3),a32) = product(product(X1,a31),a3) ),
% 0.58/1.05 inference(orient,[status(thm)],['0.238.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_238]).
% 0.58/1.05 cnf('0.242.0.0',plain,
% 0.58/1.05 ( product(product(a29,a31),a3) = product(a28,a32) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.238.2.0','0.64.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.242.1.0',plain,
% 0.58/1.06 ( product(product(a29,a31),a3) = product(a28,a32) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.242.0.0']),
% 0.58/1.06 [weight('<53,238,64,[1,0,0,1]>')]).
% 0.58/1.06 cnf('0.242.2.0',plain,
% 0.58/1.06 ( product(product(a29,a31),a3) = product(a28,a32) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.242.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_242]).
% 0.58/1.06 cnf('0.273.0.0',plain,
% 0.58/1.06 ( product(product(a15,X1),a5) = product(a16,product(X1,a5)) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.3.2.0','0.13.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.273.1.0',plain,
% 0.58/1.06 ( product(product(a15,X1),a5) = product(a16,product(X1,a5)) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.273.0.0']),
% 0.58/1.06 [weight('<?,13,3,[0,0,0,1]>')]).
% 0.58/1.06 cnf('0.273.2.0',plain,
% 0.58/1.06 ( product(product(a15,X1),a5) = product(a16,product(X1,a5)) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.273.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_273]).
% 0.58/1.06 cnf('0.279.0.0',plain,
% 0.58/1.06 ( product(a16,product(a17,a5)) = product(a14,a5) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.273.2.0','0.58.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.279.1.0',plain,
% 0.58/1.06 ( product(a16,product(a17,a5)) = product(a14,a5) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.279.0.0']),
% 0.58/1.06 [weight('<53,273,58,[1,0,0,1]>')]).
% 0.58/1.06 cnf('0.279.2.0',plain,
% 0.58/1.06 ( product(a16,product(a17,a5)) = product(a14,a5) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.279.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_279]).
% 0.58/1.06 cnf('0.303.0.0',plain,
% 0.58/1.06 ( product(product(X1,a23),a21) = product(product(X1,a21),a24) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.3.2.0','0.15.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.303.1.0',plain,
% 0.58/1.06 ( product(product(X1,a23),a21) = product(product(X1,a21),a24) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.303.0.0']),
% 0.58/1.06 [weight('<65,15,3,[0,0,0,4]>')]).
% 0.58/1.06 cnf('0.303.2.0',plain,
% 0.58/1.06 ( product(product(X1,a21),a24) = product(product(X1,a23),a21) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.303.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_303]).
% 0.58/1.06 cnf('0.307.0.0',plain,
% 0.58/1.06 ( product(product(a28,a23),a21) = product(a27,a24) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.303.2.0','0.65.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.307.1.0',plain,
% 0.58/1.06 ( product(product(a28,a23),a21) = product(a27,a24) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.307.0.0']),
% 0.58/1.06 [weight('<53,303,65,[1,0,0,1]>')]).
% 0.58/1.06 cnf('0.307.2.0',plain,
% 0.58/1.06 ( product(product(a28,a23),a21) = product(a27,a24) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.307.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_307]).
% 0.58/1.06 cnf('0.324.0.0',plain,
% 0.58/1.06 ( product(product(X1,a7),a19) = product(product(X1,a19),a8) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.3.2.0','0.17.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.324.1.0',plain,
% 0.58/1.06 ( product(product(X1,a7),a19) = product(product(X1,a19),a8) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.324.0.0']),
% 0.58/1.06 [weight('<?,17,3,[0,0,0,4]>')]).
% 0.58/1.06 cnf('0.324.2.0',plain,
% 0.58/1.06 ( product(product(X1,a19),a8) = product(product(X1,a7),a19) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.324.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_324]).
% 0.58/1.06 cnf('0.325.0.0',plain,
% 0.58/1.06 ( product(product(a13,a7),a19) = product(a12,a8) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.324.2.0','0.57.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.325.0.1',plain,
% 0.58/1.06 ( product(a14,a19) = product(a12,a8) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.325.0.0','0.28.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.325.1.0',plain,
% 0.58/1.06 ( product(a14,a19) = product(a12,a8) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.325.0.1']),
% 0.58/1.06 [weight('<27,324,57,[1,0,0,1]>')]).
% 0.58/1.06 cnf('0.325.2.0',plain,
% 0.58/1.06 ( product(a12,a8) = product(a14,a19) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.325.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_325]).
% 0.58/1.06 cnf('0.336.0.0',plain,
% 0.58/1.06 ( product(product(X1,a32),a21) = product(product(X1,a21),a1) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.3.2.0','0.18.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.336.1.0',plain,
% 0.58/1.06 ( product(product(X1,a32),a21) = product(product(X1,a21),a1) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.336.0.0']),
% 0.58/1.06 [weight('<65,18,3,[0,0,0,4]>')]).
% 0.58/1.06 cnf('0.336.2.0',plain,
% 0.58/1.06 ( product(product(X1,a21),a1) = product(product(X1,a32),a21) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.336.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_336]).
% 0.58/1.06 cnf('0.337.0.0',plain,
% 0.58/1.06 ( product(product(a28,a32),a21) = product(a27,a1) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.336.2.0','0.65.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.337.0.1',plain,
% 0.58/1.06 ( product(product(a28,a32),a21) = a26 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.337.0.0','0.63.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.337.1.0',plain,
% 0.58/1.06 ( product(product(a28,a32),a21) = a26 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.337.0.1']),
% 0.58/1.06 [weight('<41,336,65,[1,0,0,1]>')]).
% 0.58/1.06 cnf('0.337.2.0',plain,
% 0.58/1.06 ( product(product(a28,a32),a21) = a26 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.337.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_337]).
% 0.58/1.06 cnf('0.338.0.0',plain,
% 0.58/1.06 ( product(a28,a32) = product(a26,a21) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.2.2.0','0.337.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.338.1.0',plain,
% 0.58/1.06 ( product(a28,a32) = product(a26,a21) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.338.0.0']),
% 0.58/1.06 [weight('<27,337,2,[0,0,0,1]>')]).
% 0.58/1.06 cnf('0.338.2.0',plain,
% 0.58/1.06 ( product(a26,a21) = product(a28,a32) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.338.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_338]).
% 0.58/1.06 cnf('0.342.0.0',plain,
% 0.58/1.06 ( product(product(a26,a23),a21) = product(product(a28,a32),a24) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.303.2.0','0.338.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.342.0.1',plain,
% 0.58/1.06 ( product(a25,a21) = product(product(a28,a32),a24) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.342.0.0','0.41.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.342.1.0',plain,
% 0.58/1.06 ( product(a25,a21) = product(product(a28,a32),a24) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.342.0.1']),
% 0.58/1.06 [weight('<53,338,303,[0,0,0,1]>')]).
% 0.58/1.06 cnf('0.342.2.0',plain,
% 0.58/1.06 ( product(product(a28,a32),a24) = product(a25,a21) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.342.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_342]).
% 0.58/1.06 cnf('0.344.0.0',plain,
% 0.58/1.06 ( product(product(a2,X1),a25) = product(a3,product(X1,a25)) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.3.2.0','0.19.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.344.1.0',plain,
% 0.58/1.06 ( product(product(a2,X1),a25) = product(a3,product(X1,a25)) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.344.0.0']),
% 0.58/1.06 [weight('<65,19,3,[0,0,0,1]>')]).
% 0.58/1.06 cnf('0.344.2.0',plain,
% 0.58/1.06 ( product(product(a2,X1),a25) = product(a3,product(X1,a25)) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.344.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_344]).
% 0.58/1.06 cnf('0.345.0.0',plain,
% 0.58/1.06 ( product(a3,product(a31,a25)) = product(a1,a25) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.344.2.0','0.39.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.345.1.0',plain,
% 0.58/1.06 ( product(a3,product(a31,a25)) = product(a1,a25) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.345.0.0']),
% 0.58/1.06 [weight('<53,344,39,[1,0,0,1]>')]).
% 0.58/1.06 cnf('0.345.2.0',plain,
% 0.58/1.06 ( product(a3,product(a31,a25)) = product(a1,a25) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.345.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_345]).
% 0.58/1.06 cnf('0.346.0.0',plain,
% 0.58/1.06 ( product(product(X1,a2),a25) = product(product(X1,a25),a3) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.3.2.0','0.19.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.346.1.0',plain,
% 0.58/1.06 ( product(product(X1,a2),a25) = product(product(X1,a25),a3) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.346.0.0']),
% 0.58/1.06 [weight('<65,19,3,[0,0,0,4]>')]).
% 0.58/1.06 cnf('0.346.2.0',plain,
% 0.58/1.06 ( product(product(X1,a25),a3) = product(product(X1,a2),a25) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.346.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_346]).
% 0.58/1.06 cnf('0.348.0.0',plain,
% 0.58/1.06 ( product(product(a31,a2),a25) = product(a32,product(a25,a3)) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.346.2.0','0.235.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.348.0.1',plain,
% 0.58/1.06 ( product(product(a31,a2),a25) = product(a32,a24) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.348.0.0','0.62.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.2','L')]).
% 0.58/1.06 cnf('0.348.1.0',plain,
% 0.58/1.06 ( product(product(a31,a2),a25) = product(a32,a24) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.348.0.1']),
% 0.58/1.06 [weight('<53,346,235,[1,0,0,0]>')]).
% 0.58/1.06 cnf('0.348.2.0',plain,
% 0.58/1.06 ( product(product(a31,a2),a25) = product(a32,a24) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.348.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_348]).
% 0.58/1.06 cnf('0.351.0.0',plain,
% 0.58/1.06 ( product(product(a30,X1),a23) = product(a31,product(X1,a23)) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.3.2.0','0.20.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.351.1.0',plain,
% 0.58/1.06 ( product(product(a30,X1),a23) = product(a31,product(X1,a23)) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.351.0.0']),
% 0.58/1.06 [weight('<65,20,3,[0,0,0,1]>')]).
% 0.58/1.06 cnf('0.351.2.0',plain,
% 0.58/1.06 ( product(product(a30,X1),a23) = product(a31,product(X1,a23)) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.351.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_351]).
% 0.58/1.06 cnf('0.353.0.0',plain,
% 0.58/1.06 ( product(product(X1,a30),a23) = product(product(X1,a23),a31) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.3.2.0','0.20.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.353.1.0',plain,
% 0.58/1.06 ( product(product(X1,a30),a23) = product(product(X1,a23),a31) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.353.0.0']),
% 0.58/1.06 [weight('<65,20,3,[0,0,0,4]>')]).
% 0.58/1.06 cnf('0.353.2.0',plain,
% 0.58/1.06 ( product(product(X1,a23),a31) = product(product(X1,a30),a23) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.353.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_353]).
% 0.58/1.06 cnf('0.365.0.0',plain,
% 0.58/1.06 ( product(product(X1,a8),a5) = product(product(X1,a5),a9) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.3.2.0','0.22.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.365.1.0',plain,
% 0.58/1.06 ( product(product(X1,a8),a5) = product(product(X1,a5),a9) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.365.0.0']),
% 0.58/1.06 [weight('<65,22,3,[0,0,0,4]>')]).
% 0.58/1.06 cnf('0.365.2.0',plain,
% 0.58/1.06 ( product(product(X1,a5),a9) = product(product(X1,a8),a5) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.365.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_365]).
% 0.58/1.06 cnf('0.366.0.0',plain,
% 0.58/1.06 ( product(product(a12,a8),a5) = product(a11,a9) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.365.2.0','0.43.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.366.0.1',plain,
% 0.58/1.06 ( product(product(a14,a19),a5) = product(a11,a9) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.366.0.0','0.325.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.366.1.0',plain,
% 0.58/1.06 ( product(product(a14,a19),a5) = product(a11,a9) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.366.0.1']),
% 0.58/1.06 [weight('<53,365,43,[1,0,0,1]>')]).
% 0.58/1.06 cnf('0.366.2.0',plain,
% 0.58/1.06 ( product(product(a14,a19),a5) = product(a11,a9) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.366.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_366]).
% 0.58/1.06 cnf('0.390.0.0',plain,
% 0.58/1.06 ( product(product(a12,X1),a19) = product(a13,product(X1,a19)) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.3.2.0','0.26.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.390.1.0',plain,
% 0.58/1.06 ( product(product(a12,X1),a19) = product(a13,product(X1,a19)) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.390.0.0']),
% 0.58/1.06 [weight('<65,26,3,[0,0,0,1]>')]).
% 0.58/1.06 cnf('0.390.2.0',plain,
% 0.58/1.06 ( product(product(a12,X1),a19) = product(a13,product(X1,a19)) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.390.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_390]).
% 0.58/1.06 cnf('0.468.0.0',plain,
% 0.58/1.06 ( product(product(X1,a22),a25) = product(product(X1,a25),a21) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.3.2.0','0.38.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.468.1.0',plain,
% 0.58/1.06 ( product(product(X1,a22),a25) = product(product(X1,a25),a21) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.468.0.0']),
% 0.58/1.06 [weight('<65,38,3,[0,0,0,4]>')]).
% 0.58/1.06 cnf('0.468.2.0',plain,
% 0.58/1.06 ( product(product(X1,a25),a21) = product(product(X1,a22),a25) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.468.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_468]).
% 0.58/1.06 cnf('0.558.0.0',plain,
% 0.58/1.06 ( product(product(X1,a15),a17) = product(product(X1,a17),a14) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.3.2.0','0.58.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.558.1.0',plain,
% 0.58/1.06 ( product(product(X1,a15),a17) = product(product(X1,a17),a14) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.558.0.0']),
% 0.58/1.06 [weight('<65,58,3,[0,0,0,4]>')]).
% 0.58/1.06 cnf('0.558.2.0',plain,
% 0.58/1.06 ( product(product(X1,a15),a17) = product(product(X1,a17),a14) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.558.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_558]).
% 0.58/1.06 cnf('0.562.0.0',plain,
% 0.58/1.06 ( product(product(a19,a17),a14) = product(a18,a17) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.558.2.0','0.56.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.562.1.0',plain,
% 0.58/1.06 ( product(product(a19,a17),a14) = product(a18,a17) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.562.0.0']),
% 0.58/1.06 [weight('<53,558,56,[1,0,0,1]>')]).
% 0.58/1.06 cnf('0.562.2.0',plain,
% 0.58/1.06 ( product(product(a19,a17),a14) = product(a18,a17) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.562.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_562]).
% 0.58/1.06 cnf('0.568.0.0',plain,
% 0.58/1.06 ( product(product(X1,a21),a29) = product(product(X1,a29),a20) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.3.2.0','0.60.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.568.1.0',plain,
% 0.58/1.06 ( product(product(X1,a21),a29) = product(product(X1,a29),a20) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.568.0.0']),
% 0.58/1.06 [weight('<65,60,3,[0,0,0,4]>')]).
% 0.58/1.06 cnf('0.568.2.0',plain,
% 0.58/1.06 ( product(product(X1,a21),a29) = product(product(X1,a29),a20) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.568.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_568]).
% 0.58/1.06 cnf('0.574.0.0',plain,
% 0.58/1.06 ( product(product(a28,a29),a20) = product(a27,a29) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.568.2.0','0.65.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.574.1.0',plain,
% 0.58/1.06 ( product(product(a28,a29),a20) = product(a27,a29) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.574.0.0']),
% 0.58/1.06 [weight('<53,568,65,[1,0,0,1]>')]).
% 0.58/1.06 cnf('0.574.2.0',plain,
% 0.58/1.06 ( product(product(a28,a29),a20) = product(a27,a29) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.574.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_574]).
% 0.58/1.06 cnf('0.577.0.0',plain,
% 0.58/1.06 ( product(product(X1,a23),a31) = product(product(X1,a31),a22) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.3.2.0','0.61.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.577.1.0',plain,
% 0.58/1.06 ( product(product(X1,a23),a31) = product(product(X1,a31),a22) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.577.0.0']),
% 0.58/1.06 [weight('<65,61,3,[0,0,0,4]>')]).
% 0.58/1.06 cnf('0.577.1.1',plain,
% 0.58/1.06 ( product(product(X1,a30),a23) = product(product(X1,a31),a22) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.577.1.0','0.353.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.577.2.0',plain,
% 0.58/1.06 ( product(product(X1,a31),a22) = product(product(X1,a30),a23) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.577.1.1',theory(equality)]),
% 0.58/1.06 [x,rule_577]).
% 0.58/1.06 cnf('0.583.0.0',plain,
% 0.58/1.06 ( product(product(X1,a25),a3) = product(product(X1,a3),a24) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.3.2.0','0.62.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.583.1.0',plain,
% 0.58/1.06 ( product(product(X1,a25),a3) = product(product(X1,a3),a24) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.583.0.0']),
% 0.58/1.06 [weight('<65,62,3,[0,0,0,4]>')]).
% 0.58/1.06 cnf('0.583.1.1',plain,
% 0.58/1.06 ( product(product(X1,a2),a25) = product(product(X1,a3),a24) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.583.1.0','0.346.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.583.2.0',plain,
% 0.58/1.06 ( product(product(X1,a3),a24) = product(product(X1,a2),a25) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.583.1.1',theory(equality)]),
% 0.58/1.06 [x,rule_583]).
% 0.58/1.06 cnf('0.584.0.0',plain,
% 0.58/1.06 ( product(product(product(a29,a31),a2),a25) = product(product(a28,a32),a24) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.583.2.0','0.242.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.584.0.1',plain,
% 0.58/1.06 ( product(product(a30,a31),a25) = product(product(a28,a32),a24) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.584.0.0','0.231.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.584.0.2',plain,
% 0.58/1.06 ( product(product(a30,a31),a25) = product(a25,a21) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.584.0.1','0.342.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.584.1.0',plain,
% 0.58/1.06 ( product(product(a30,a31),a25) = product(a25,a21) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.584.0.2']),
% 0.58/1.06 [weight('<53,583,242,[1,0,0,1]>')]).
% 0.58/1.06 cnf('0.584.2.0',plain,
% 0.58/1.06 ( product(product(a30,a31),a25) = product(a25,a21) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.584.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_584]).
% 0.58/1.06 cnf('0.585.0.0',plain,
% 0.58/1.06 ( product(product(product(a30,a31),a22),a25) = product(product(a25,a21),a21) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.468.2.0','0.584.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.585.0.1',plain,
% 0.58/1.06 ( product(product(product(a30,a30),a23),a25) = product(product(a25,a21),a21) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.585.0.0','0.577.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.585.0.2',plain,
% 0.58/1.06 ( product(product(a31,product(a30,a23)),a25) = product(product(a25,a21),a21) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.585.0.1','0.351.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.585.0.3',plain,
% 0.58/1.06 ( product(product(a31,a31),a25) = product(product(a25,a21),a21) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.585.0.2','0.20.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1.2','L')]).
% 0.58/1.06 cnf('0.585.0.4',plain,
% 0.58/1.06 ( product(a31,a25) = product(product(a25,a21),a21) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.585.0.3','0.1.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.585.0.5',plain,
% 0.58/1.06 ( product(a31,a25) = a25 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.585.0.4','0.2.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.585.1.0',plain,
% 0.58/1.06 ( product(a31,a25) = a25 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.585.0.5']),
% 0.58/1.06 [weight('<19,584,468,[0,0,0,1]>')]).
% 0.58/1.06 cnf('0.585.2.0',plain,
% 0.58/1.06 ( product(a31,a25) = a25 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.585.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_585]).
% 0.58/1.06 cnf('0.586.0.0',plain,
% 0.58/1.06 ( a31 = product(a25,a25) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.2.2.0','0.585.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.586.0.1',plain,
% 0.58/1.06 ( a31 = a25 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.586.0.0','0.1.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.586.1.0',plain,
% 0.58/1.06 ( a31 = a25 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.586.0.1']),
% 0.58/1.06 [weight('<5,585,2,[0,0,0,1]>')]).
% 0.58/1.06 cnf('0.586.2.0',plain,
% 0.58/1.06 ( a31 = a25 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.586.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_586]).
% 0.58/1.06 cnf('0.587.0.0',plain,
% 0.58/1.06 ( product(a31,a23) = a30 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.51.2.0'])).
% 0.58/1.06 cnf('0.587.0.1',plain,
% 0.58/1.06 ( product(a25,a23) = a30 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.587.0.0','0.586.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.587.0.2',plain,
% 0.58/1.06 ( a26 = a30 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.587.0.1','0.10.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.587.1.0',plain,
% 0.58/1.06 ( a26 = a30 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.587.0.2']),
% 0.58/1.06 [weight('<5,51,586,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.587.2.0',plain,
% 0.58/1.06 ( a30 = a26 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.587.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_587]).
% 0.58/1.06 cnf('0.588.0.0',plain,
% 0.58/1.06 ( product(a23,a31) = a22 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.61.2.0'])).
% 0.58/1.06 cnf('0.588.0.1',plain,
% 0.58/1.06 ( product(a23,a25) = a22 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.588.0.0','0.586.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.588.1.0',plain,
% 0.58/1.06 ( product(a23,a25) = a22 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.588.0.1']),
% 0.58/1.06 [weight('<19,61,586,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.588.2.0',plain,
% 0.58/1.06 ( product(a23,a25) = a22 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.588.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_588]).
% 0.58/1.06 cnf('0.589.0.0',plain,
% 0.58/1.06 ( a23 = product(a22,a25) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.2.2.0','0.588.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.589.0.1',plain,
% 0.58/1.06 ( a23 = a21 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.589.0.0','0.38.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.589.1.0',plain,
% 0.58/1.06 ( a23 = a21 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.589.0.1']),
% 0.58/1.06 [weight('<5,588,2,[0,0,0,1]>')]).
% 0.58/1.06 cnf('0.589.2.0',plain,
% 0.58/1.06 ( a21 = a23 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.589.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_589]).
% 0.58/1.06 cnf('0.590.0.0',plain,
% 0.58/1.06 ( product(a1,a21) = a32 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.49.2.0'])).
% 0.58/1.06 cnf('0.590.0.1',plain,
% 0.58/1.06 ( product(a1,a23) = a32 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.590.0.0','0.589.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.590.1.0',plain,
% 0.58/1.06 ( product(a1,a23) = a32 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.590.0.1']),
% 0.58/1.06 [weight('<19,49,589,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.590.2.0',plain,
% 0.58/1.06 ( product(a1,a23) = a32 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.590.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_590]).
% 0.58/1.06 cnf('0.591.0.0',plain,
% 0.58/1.06 ( product(a21,a29) = a20 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.60.2.0'])).
% 0.58/1.06 cnf('0.591.0.1',plain,
% 0.58/1.06 ( product(a23,a29) = a20 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.591.0.0','0.589.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.591.1.0',plain,
% 0.58/1.06 ( product(a23,a29) = a20 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.591.0.1']),
% 0.58/1.06 [weight('<19,60,589,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.591.2.0',plain,
% 0.58/1.06 ( product(a23,a29) = a20 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.591.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_591]).
% 0.58/1.06 cnf('0.592.0.0',plain,
% 0.58/1.06 ( product(a28,a21) = a27 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.65.2.0'])).
% 0.58/1.06 cnf('0.592.0.1',plain,
% 0.58/1.06 ( product(a28,a23) = a27 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.592.0.0','0.589.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.592.1.0',plain,
% 0.58/1.06 ( product(a28,a23) = a27 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.592.0.1']),
% 0.58/1.06 [weight('<19,65,589,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.592.2.0',plain,
% 0.58/1.06 ( product(a28,a23) = a27 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.592.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_592]).
% 0.58/1.06 cnf('0.593.0.0',plain,
% 0.58/1.06 ( product(a23,product(a21,a23)) = product(a24,a23) ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.98.2.0'])).
% 0.58/1.06 cnf('0.593.0.1',plain,
% 0.58/1.06 ( product(a23,product(a23,a23)) = product(a24,a23) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.593.0.0','0.589.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2.1','L')]).
% 0.58/1.06 cnf('0.593.0.2',plain,
% 0.58/1.06 ( product(a23,a23) = product(a24,a23) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.593.0.1','0.1.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.593.0.3',plain,
% 0.58/1.06 ( a23 = product(a24,a23) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.593.0.2','0.1.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.593.1.0',plain,
% 0.58/1.06 ( a23 = product(a24,a23) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.593.0.3']),
% 0.58/1.06 [weight('<19,98,589,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.593.2.0',plain,
% 0.58/1.06 ( product(a24,a23) = a23 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.593.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_593]).
% 0.58/1.06 cnf('0.594.0.0',plain,
% 0.58/1.06 ( a24 = product(a23,a23) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.2.2.0','0.593.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.594.0.1',plain,
% 0.58/1.06 ( a24 = a23 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.594.0.0','0.1.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.594.1.0',plain,
% 0.58/1.06 ( a24 = a23 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.594.0.1']),
% 0.58/1.06 [weight('<5,593,2,[0,0,0,1]>')]).
% 0.58/1.06 cnf('0.594.2.0',plain,
% 0.58/1.06 ( a23 = a24 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.594.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_594]).
% 0.58/1.06 cnf('0.595.0.0',plain,
% 0.58/1.06 ( a21 = a23 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.589.2.0'])).
% 0.58/1.06 cnf('0.595.0.1',plain,
% 0.58/1.06 ( a21 = a24 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.595.0.0','0.594.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.595.1.0',plain,
% 0.58/1.06 ( a21 = a24 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.595.0.1']),
% 0.58/1.06 [weight('<5,589,594,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.595.2.0',plain,
% 0.58/1.06 ( a21 = a24 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.595.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_595]).
% 0.58/1.06 cnf('0.596.0.0',plain,
% 0.58/1.06 ( product(product(a23,a25),a22) = product(a24,a25) ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.220.2.0'])).
% 0.58/1.06 cnf('0.596.0.1',plain,
% 0.58/1.06 ( product(a22,a22) = product(a24,a25) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.596.0.0','0.588.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.596.0.2',plain,
% 0.58/1.06 ( a22 = product(a24,a25) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.596.0.1','0.1.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.596.1.0',plain,
% 0.58/1.06 ( a22 = product(a24,a25) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.596.0.2']),
% 0.58/1.06 [weight('<19,220,588,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.596.2.0',plain,
% 0.58/1.06 ( product(a24,a25) = a22 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.596.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_596]).
% 0.58/1.06 cnf('0.597.0.0',plain,
% 0.58/1.06 ( product(a25,a2) = product(a24,a25) ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.78.2.0'])).
% 0.58/1.06 cnf('0.597.0.1',plain,
% 0.58/1.06 ( product(a25,a2) = a22 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.597.0.0','0.596.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.597.1.0',plain,
% 0.58/1.06 ( product(a25,a2) = a22 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.597.0.1']),
% 0.58/1.06 [weight('<19,78,596,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.597.2.0',plain,
% 0.58/1.06 ( product(a25,a2) = a22 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.597.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_597]).
% 0.58/1.06 cnf('0.598.0.0',plain,
% 0.58/1.06 ( product(product(a28,a23),a21) = product(a27,a24) ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.307.2.0'])).
% 0.58/1.06 cnf('0.598.0.1',plain,
% 0.58/1.06 ( product(product(a28,a23),a23) = product(a27,a24) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.598.0.0','0.589.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.598.0.2',plain,
% 0.58/1.06 ( a28 = product(a27,a24) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.598.0.1','0.2.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.598.1.0',plain,
% 0.58/1.06 ( a28 = product(a27,a24) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.598.0.2']),
% 0.58/1.06 [weight('<19,307,589,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.598.2.0',plain,
% 0.58/1.06 ( product(a27,a24) = a28 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.598.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_598]).
% 0.58/1.06 cnf('0.599.0.0',plain,
% 0.58/1.06 ( product(a26,a21) = product(a28,a32) ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.338.2.0'])).
% 0.58/1.06 cnf('0.599.0.1',plain,
% 0.58/1.06 ( product(a26,a23) = product(a28,a32) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.599.0.0','0.589.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.599.0.2',plain,
% 0.58/1.06 ( a25 = product(a28,a32) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.599.0.1','0.41.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.599.1.0',plain,
% 0.58/1.06 ( a25 = product(a28,a32) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.599.0.2']),
% 0.58/1.06 [weight('<19,338,589,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.599.2.0',plain,
% 0.58/1.06 ( product(a28,a32) = a25 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.599.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_599]).
% 0.58/1.06 cnf('0.600.0.0',plain,
% 0.58/1.06 ( product(a3,product(a31,a25)) = product(a1,a25) ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.345.2.0'])).
% 0.58/1.06 cnf('0.600.0.1',plain,
% 0.58/1.06 ( product(a3,a25) = product(a1,a25) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.600.0.0','0.585.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.600.0.2',plain,
% 0.58/1.06 ( a2 = product(a1,a25) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.600.0.1','0.50.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.600.1.0',plain,
% 0.58/1.06 ( a2 = product(a1,a25) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.600.0.2']),
% 0.58/1.06 [weight('<19,345,585,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.600.2.0',plain,
% 0.58/1.06 ( product(a1,a25) = a2 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.600.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_600]).
% 0.58/1.06 cnf('0.601.0.0',plain,
% 0.58/1.06 ( a1 = product(a2,a25) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.2.2.0','0.600.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.601.0.1',plain,
% 0.58/1.06 ( a1 = a3 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.601.0.0','0.19.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.601.1.0',plain,
% 0.58/1.06 ( a1 = a3 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.601.0.1']),
% 0.58/1.06 [weight('<5,600,2,[0,0,0,1]>')]).
% 0.58/1.06 cnf('0.601.2.0',plain,
% 0.58/1.06 ( a3 = a1 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.601.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_601]).
% 0.58/1.06 cnf('0.602.0.0',plain,
% 0.58/1.06 ( product(a25,a3) = a24 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.62.2.0'])).
% 0.58/1.06 cnf('0.602.0.1',plain,
% 0.58/1.06 ( product(a25,a1) = a24 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.602.0.0','0.601.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.602.1.0',plain,
% 0.58/1.06 ( product(a25,a1) = a24 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.602.0.1']),
% 0.58/1.06 [weight('<19,62,601,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.602.2.0',plain,
% 0.58/1.06 ( product(a25,a1) = a24 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.602.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_602]).
% 0.58/1.06 cnf('0.603.0.0',plain,
% 0.58/1.06 ( product(a29,a3) = a28 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.64.2.0'])).
% 0.58/1.06 cnf('0.603.0.1',plain,
% 0.58/1.06 ( product(a29,a1) = a28 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.603.0.0','0.601.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.603.1.0',plain,
% 0.58/1.06 ( product(a29,a1) = a28 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.603.0.1']),
% 0.58/1.06 [weight('<19,64,601,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.603.2.0',plain,
% 0.58/1.06 ( product(a29,a1) = a28 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.603.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_603]).
% 0.58/1.06 cnf('0.604.0.0',plain,
% 0.58/1.06 ( product(product(a31,a2),a25) = product(a32,a24) ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.348.2.0'])).
% 0.58/1.06 cnf('0.604.0.1',plain,
% 0.58/1.06 ( product(product(a25,a2),a25) = product(a32,a24) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.604.0.0','0.586.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1.1','L')]).
% 0.58/1.06 cnf('0.604.0.2',plain,
% 0.58/1.06 ( product(product(a24,a25),a25) = product(a32,a24) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.604.0.1','0.78.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.604.0.3',plain,
% 0.58/1.06 ( a24 = product(a32,a24) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.604.0.2','0.2.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.604.1.0',plain,
% 0.58/1.06 ( a24 = product(a32,a24) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.604.0.3']),
% 0.58/1.06 [weight('<19,348,586,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.604.2.0',plain,
% 0.58/1.06 ( product(a32,a24) = a24 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.604.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_604]).
% 0.58/1.06 cnf('0.605.0.0',plain,
% 0.58/1.06 ( a32 = product(a24,a24) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.2.2.0','0.604.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.605.0.1',plain,
% 0.58/1.06 ( a32 = a24 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.605.0.0','0.1.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.605.1.0',plain,
% 0.58/1.06 ( a32 = a24 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.605.0.1']),
% 0.58/1.06 [weight('<5,604,2,[0,0,0,1]>')]).
% 0.58/1.06 cnf('0.605.2.0',plain,
% 0.58/1.06 ( a32 = a24 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.605.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_605]).
% 0.58/1.06 cnf('0.607.0.0',plain,
% 0.58/1.06 ( product(product(a30,a31),a25) = product(a25,a21) ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.584.2.0'])).
% 0.58/1.06 cnf('0.607.0.1',plain,
% 0.58/1.06 ( product(product(a30,a25),a25) = product(a25,a21) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.607.0.0','0.586.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1.2','L')]).
% 0.58/1.06 cnf('0.607.0.2',plain,
% 0.58/1.06 ( a30 = product(a25,a21) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.607.0.1','0.2.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.607.1.0',plain,
% 0.58/1.06 ( a30 = product(a25,a21) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.607.0.2']),
% 0.58/1.06 [weight('<19,584,586,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.607.1.1',plain,
% 0.58/1.06 ( a26 = product(a25,a21) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.607.1.0','0.587.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.607.1.2',plain,
% 0.58/1.06 ( a26 = product(a25,a24) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.607.1.1','0.595.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.2','L')]).
% 0.58/1.06 cnf('0.607.2.0',plain,
% 0.58/1.06 ( product(a25,a24) = a26 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.607.1.2',theory(equality)]),
% 0.58/1.06 [x,rule_607]).
% 0.58/1.06 cnf('0.608.0.0',plain,
% 0.58/1.06 ( product(a1,a23) = a32 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.590.2.0'])).
% 0.58/1.06 cnf('0.608.0.1',plain,
% 0.58/1.06 ( product(a1,a24) = a32 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.608.0.0','0.594.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.608.1.0',plain,
% 0.58/1.06 ( product(a1,a24) = a32 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.608.0.1']),
% 0.58/1.06 [weight('<19,590,594,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.608.1.1',plain,
% 0.58/1.06 ( product(a1,a24) = a24 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.608.1.0','0.605.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.608.2.0',plain,
% 0.58/1.06 ( product(a1,a24) = a24 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.608.1.1',theory(equality)]),
% 0.58/1.06 [u,rule_608]).
% 0.58/1.06 cnf('0.609.0.0',plain,
% 0.58/1.06 ( a1 = product(a24,a24) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.2.2.0','0.608.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.609.0.1',plain,
% 0.58/1.06 ( a1 = a24 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.609.0.0','0.1.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.609.1.0',plain,
% 0.58/1.06 ( a1 = a24 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.609.0.1']),
% 0.58/1.06 [weight('<5,608,2,[0,0,0,1]>')]).
% 0.58/1.06 cnf('0.609.2.0',plain,
% 0.58/1.06 ( a1 = a24 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.609.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_609]).
% 0.58/1.06 cnf('0.610.0.0',plain,
% 0.58/1.06 ( product(a27,a1) = a26 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.63.2.0'])).
% 0.58/1.06 cnf('0.610.0.1',plain,
% 0.58/1.06 ( product(a27,a24) = a26 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.610.0.0','0.609.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.610.0.2',plain,
% 0.58/1.06 ( a28 = a26 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.610.0.1','0.598.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.610.1.0',plain,
% 0.58/1.06 ( a28 = a26 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.610.0.2']),
% 0.58/1.06 [weight('<5,63,609,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.610.2.0',plain,
% 0.58/1.06 ( a26 = a28 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.610.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_610]).
% 0.58/1.06 cnf('0.611.0.0',plain,
% 0.58/1.06 ( a30 = a26 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.587.2.0'])).
% 0.58/1.06 cnf('0.611.0.1',plain,
% 0.58/1.06 ( a30 = a28 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.611.0.0','0.610.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.611.1.0',plain,
% 0.58/1.06 ( a30 = a28 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.611.0.1']),
% 0.58/1.06 [weight('<5,587,610,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.611.2.0',plain,
% 0.58/1.06 ( a30 = a28 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.611.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_611]).
% 0.58/1.06 cnf('0.612.0.0',plain,
% 0.58/1.06 ( product(a1,a25) = a2 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.600.2.0'])).
% 0.58/1.06 cnf('0.612.0.1',plain,
% 0.58/1.06 ( product(a24,a25) = a2 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.612.0.0','0.609.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.612.0.2',plain,
% 0.58/1.06 ( a22 = a2 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.612.0.1','0.596.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.612.1.0',plain,
% 0.58/1.06 ( a22 = a2 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.612.0.2']),
% 0.58/1.06 [weight('<5,600,609,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.612.2.0',plain,
% 0.58/1.06 ( a2 = a22 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.612.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_612]).
% 0.58/1.06 cnf('0.613.0.0',plain,
% 0.58/1.06 ( a3 = a1 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.601.2.0'])).
% 0.58/1.06 cnf('0.613.0.1',plain,
% 0.58/1.06 ( a3 = a24 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.613.0.0','0.609.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.613.1.0',plain,
% 0.58/1.06 ( a3 = a24 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.613.0.1']),
% 0.58/1.06 [weight('<5,601,609,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.613.2.0',plain,
% 0.58/1.06 ( a3 = a24 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.613.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_613]).
% 0.58/1.06 cnf('0.614.0.0',plain,
% 0.58/1.06 ( product(a25,a1) = a24 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.602.2.0'])).
% 0.58/1.06 cnf('0.614.0.1',plain,
% 0.58/1.06 ( product(a25,a24) = a24 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.614.0.0','0.609.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.614.0.2',plain,
% 0.58/1.06 ( a26 = a24 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.614.0.1','0.607.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.614.1.0',plain,
% 0.58/1.06 ( a26 = a24 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.614.0.2']),
% 0.58/1.06 [weight('<5,602,609,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.614.1.1',plain,
% 0.58/1.06 ( a28 = a24 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.614.1.0','0.610.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.614.2.0',plain,
% 0.58/1.06 ( a24 = a28 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.614.1.1',theory(equality)]),
% 0.58/1.06 [x,rule_614]).
% 0.58/1.06 cnf('0.615.0.0',plain,
% 0.58/1.06 ( a23 = a24 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.594.2.0'])).
% 0.58/1.06 cnf('0.615.0.1',plain,
% 0.58/1.06 ( a23 = a28 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.615.0.0','0.614.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.615.1.0',plain,
% 0.58/1.06 ( a23 = a28 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.615.0.1']),
% 0.58/1.06 [weight('<5,594,614,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.615.2.0',plain,
% 0.58/1.06 ( a23 = a28 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.615.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_615]).
% 0.58/1.06 cnf('0.616.0.0',plain,
% 0.58/1.06 ( a21 = a24 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.595.2.0'])).
% 0.58/1.06 cnf('0.616.0.1',plain,
% 0.58/1.06 ( a21 = a28 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.616.0.0','0.614.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.616.1.0',plain,
% 0.58/1.06 ( a21 = a28 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.616.0.1']),
% 0.58/1.06 [weight('<5,595,614,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.616.2.0',plain,
% 0.58/1.06 ( a21 = a28 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.616.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_616]).
% 0.58/1.06 cnf('0.617.0.0',plain,
% 0.58/1.06 ( a32 = a24 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.605.2.0'])).
% 0.58/1.06 cnf('0.617.0.1',plain,
% 0.58/1.06 ( a32 = a28 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.617.0.0','0.614.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.617.1.0',plain,
% 0.58/1.06 ( a32 = a28 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.617.0.1']),
% 0.58/1.06 [weight('<5,605,614,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.617.2.0',plain,
% 0.58/1.06 ( a32 = a28 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.617.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_617]).
% 0.58/1.06 cnf('0.618.0.0',plain,
% 0.58/1.06 ( a1 = a24 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.609.2.0'])).
% 0.58/1.06 cnf('0.618.0.1',plain,
% 0.58/1.06 ( a1 = a28 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.618.0.0','0.614.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.618.1.0',plain,
% 0.58/1.06 ( a1 = a28 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.618.0.1']),
% 0.58/1.06 [weight('<5,609,614,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.618.2.0',plain,
% 0.58/1.06 ( a1 = a28 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.618.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_618]).
% 0.58/1.06 cnf('0.619.0.0',plain,
% 0.58/1.06 ( a3 = a24 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.613.2.0'])).
% 0.58/1.06 cnf('0.619.0.1',plain,
% 0.58/1.06 ( a3 = a28 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.619.0.0','0.614.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.619.1.0',plain,
% 0.58/1.06 ( a3 = a28 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.619.0.1']),
% 0.58/1.06 [weight('<5,613,614,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.619.2.0',plain,
% 0.58/1.06 ( a3 = a28 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.619.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_619]).
% 0.58/1.06 cnf('0.620.0.0',plain,
% 0.58/1.06 ( product(a23,a29) = a20 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.591.2.0'])).
% 0.58/1.06 cnf('0.620.0.1',plain,
% 0.58/1.06 ( product(a24,a29) = a20 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.620.0.0','0.594.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.620.1.0',plain,
% 0.58/1.06 ( product(a24,a29) = a20 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.620.0.1']),
% 0.58/1.06 [weight('<19,591,594,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.620.1.1',plain,
% 0.58/1.06 ( product(a28,a29) = a20 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.620.1.0','0.614.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.620.2.0',plain,
% 0.58/1.06 ( product(a28,a29) = a20 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.620.1.1',theory(equality)]),
% 0.58/1.06 [u,rule_620]).
% 0.58/1.06 cnf('0.622.0.0',plain,
% 0.58/1.06 ( product(product(a28,a29),a20) = product(a27,a29) ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.574.2.0'])).
% 0.58/1.06 cnf('0.622.0.1',plain,
% 0.58/1.06 ( product(a20,a20) = product(a27,a29) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.622.0.0','0.620.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.622.0.2',plain,
% 0.58/1.06 ( a20 = product(a27,a29) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.622.0.1','0.1.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.622.1.0',plain,
% 0.58/1.06 ( a20 = product(a27,a29) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.622.0.2']),
% 0.58/1.06 [weight('<19,574,620,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.622.2.0',plain,
% 0.58/1.06 ( product(a27,a29) = a20 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.622.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_622]).
% 0.58/1.06 cnf('0.623.0.0',plain,
% 0.58/1.06 ( product(a28,a23) = a27 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.592.2.0'])).
% 0.58/1.06 cnf('0.623.0.1',plain,
% 0.58/1.06 ( product(a28,a24) = a27 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.623.0.0','0.594.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.623.1.0',plain,
% 0.58/1.06 ( product(a28,a24) = a27 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.623.0.1']),
% 0.58/1.06 [weight('<19,592,594,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.623.1.1',plain,
% 0.58/1.06 ( product(a28,a28) = a27 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.623.1.0','0.614.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.623.1.2',plain,
% 0.58/1.06 ( a28 = a27 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.623.1.1','0.1.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.623.2.0',plain,
% 0.58/1.06 ( a28 = a27 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.623.1.2',theory(equality)]),
% 0.58/1.06 [u,rule_623]).
% 0.58/1.06 cnf('0.624.0.0',plain,
% 0.58/1.06 ( a26 = a28 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.610.2.0'])).
% 0.58/1.06 cnf('0.624.0.1',plain,
% 0.58/1.06 ( a26 = a27 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.624.0.0','0.623.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.624.1.0',plain,
% 0.58/1.06 ( a26 = a27 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.624.0.1']),
% 0.58/1.06 [weight('<5,610,623,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.624.2.0',plain,
% 0.58/1.06 ( a26 = a27 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.624.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_624]).
% 0.58/1.06 cnf('0.625.0.0',plain,
% 0.58/1.06 ( a30 = a28 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.611.2.0'])).
% 0.58/1.06 cnf('0.625.0.1',plain,
% 0.58/1.06 ( a30 = a27 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.625.0.0','0.623.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.625.1.0',plain,
% 0.58/1.06 ( a30 = a27 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.625.0.1']),
% 0.58/1.06 [weight('<5,611,623,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.625.2.0',plain,
% 0.58/1.06 ( a30 = a27 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.625.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_625]).
% 0.58/1.06 cnf('0.626.0.0',plain,
% 0.58/1.06 ( a24 = a28 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.614.2.0'])).
% 0.58/1.06 cnf('0.626.0.1',plain,
% 0.58/1.06 ( a24 = a27 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.626.0.0','0.623.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.626.1.0',plain,
% 0.58/1.06 ( a24 = a27 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.626.0.1']),
% 0.58/1.06 [weight('<5,614,623,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.626.2.0',plain,
% 0.58/1.06 ( a24 = a27 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.626.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_626]).
% 0.58/1.06 cnf('0.627.0.0',plain,
% 0.58/1.06 ( a23 = a28 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.615.2.0'])).
% 0.58/1.06 cnf('0.627.0.1',plain,
% 0.58/1.06 ( a23 = a27 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.627.0.0','0.623.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.627.1.0',plain,
% 0.58/1.06 ( a23 = a27 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.627.0.1']),
% 0.58/1.06 [weight('<5,615,623,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.627.2.0',plain,
% 0.58/1.06 ( a23 = a27 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.627.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_627]).
% 0.58/1.06 cnf('0.628.0.0',plain,
% 0.58/1.06 ( a21 = a28 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.616.2.0'])).
% 0.58/1.06 cnf('0.628.0.1',plain,
% 0.58/1.06 ( a21 = a27 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.628.0.0','0.623.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.628.1.0',plain,
% 0.58/1.06 ( a21 = a27 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.628.0.1']),
% 0.58/1.06 [weight('<5,616,623,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.628.2.0',plain,
% 0.58/1.06 ( a21 = a27 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.628.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_628]).
% 0.58/1.06 cnf('0.629.0.0',plain,
% 0.58/1.06 ( a32 = a28 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.617.2.0'])).
% 0.58/1.06 cnf('0.629.0.1',plain,
% 0.58/1.06 ( a32 = a27 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.629.0.0','0.623.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.629.1.0',plain,
% 0.58/1.06 ( a32 = a27 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.629.0.1']),
% 0.58/1.06 [weight('<5,617,623,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.629.2.0',plain,
% 0.58/1.06 ( a32 = a27 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.629.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_629]).
% 0.58/1.06 cnf('0.631.0.0',plain,
% 0.58/1.06 ( a1 = a28 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.618.2.0'])).
% 0.58/1.06 cnf('0.631.0.1',plain,
% 0.58/1.06 ( a1 = a27 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.631.0.0','0.623.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.631.1.0',plain,
% 0.58/1.06 ( a1 = a27 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.631.0.1']),
% 0.58/1.06 [weight('<5,618,623,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.631.2.0',plain,
% 0.58/1.06 ( a1 = a27 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.631.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_631]).
% 0.58/1.06 cnf('0.632.0.0',plain,
% 0.58/1.06 ( a3 = a28 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.619.2.0'])).
% 0.58/1.06 cnf('0.632.0.1',plain,
% 0.58/1.06 ( a3 = a27 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.632.0.0','0.623.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.632.1.0',plain,
% 0.58/1.06 ( a3 = a27 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.632.0.1']),
% 0.58/1.06 [weight('<5,619,623,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.632.2.0',plain,
% 0.58/1.06 ( a3 = a27 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.632.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_632]).
% 0.58/1.06 cnf('0.634.0.0',plain,
% 0.58/1.06 ( product(a25,a2) = a22 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.597.2.0'])).
% 0.58/1.06 cnf('0.634.0.1',plain,
% 0.58/1.06 ( product(a25,a22) = a22 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.634.0.0','0.612.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.634.1.0',plain,
% 0.58/1.06 ( product(a25,a22) = a22 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.634.0.1']),
% 0.58/1.06 [weight('<19,597,612,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.634.2.0',plain,
% 0.58/1.06 ( product(a25,a22) = a22 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.634.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_634]).
% 0.58/1.06 cnf('0.635.0.0',plain,
% 0.58/1.06 ( a25 = product(a22,a22) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.2.2.0','0.634.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.635.0.1',plain,
% 0.58/1.06 ( a25 = a22 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.635.0.0','0.1.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.635.1.0',plain,
% 0.58/1.06 ( a25 = a22 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.635.0.1']),
% 0.58/1.06 [weight('<5,634,2,[0,0,0,1]>')]).
% 0.58/1.06 cnf('0.635.2.0',plain,
% 0.58/1.06 ( a25 = a22 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.635.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_635]).
% 0.58/1.06 cnf('0.636.0.0',plain,
% 0.58/1.06 ( a31 = a25 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.586.2.0'])).
% 0.58/1.06 cnf('0.636.0.1',plain,
% 0.58/1.06 ( a31 = a22 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.636.0.0','0.635.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.636.1.0',plain,
% 0.58/1.06 ( a31 = a22 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.636.0.1']),
% 0.58/1.06 [weight('<5,586,635,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.636.2.0',plain,
% 0.58/1.06 ( a31 = a22 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.636.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_636]).
% 0.58/1.06 cnf('0.637.0.0',plain,
% 0.58/1.06 ( product(a28,a32) = a25 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.599.2.0'])).
% 0.58/1.06 cnf('0.637.0.1',plain,
% 0.58/1.06 ( product(a28,a24) = a25 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.637.0.0','0.605.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.637.1.0',plain,
% 0.58/1.06 ( product(a28,a24) = a25 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.637.0.1']),
% 0.58/1.06 [weight('<19,599,605,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.637.1.1',plain,
% 0.58/1.06 ( product(a27,a24) = a25 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.637.1.0','0.623.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.637.1.2',plain,
% 0.58/1.06 ( product(a27,a27) = a25 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.637.1.1','0.626.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.637.1.3',plain,
% 0.58/1.06 ( a27 = a25 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.637.1.2','0.1.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.637.1.4',plain,
% 0.58/1.06 ( a27 = a22 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.637.1.3','0.635.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.637.2.0',plain,
% 0.58/1.06 ( a22 = a27 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.637.1.4',theory(equality)]),
% 0.58/1.06 [x,rule_637]).
% 0.58/1.06 cnf('0.638.0.0',plain,
% 0.58/1.06 ( a2 = a22 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.612.2.0'])).
% 0.58/1.06 cnf('0.638.0.1',plain,
% 0.58/1.06 ( a2 = a27 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.638.0.0','0.637.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.638.1.0',plain,
% 0.58/1.06 ( a2 = a27 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.638.0.1']),
% 0.58/1.06 [weight('<5,612,637,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.638.2.0',plain,
% 0.58/1.06 ( a2 = a27 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.638.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_638]).
% 0.58/1.06 cnf('0.639.0.0',plain,
% 0.58/1.06 ( a25 = a22 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.635.2.0'])).
% 0.58/1.06 cnf('0.639.0.1',plain,
% 0.58/1.06 ( a25 = a27 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.639.0.0','0.637.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.639.1.0',plain,
% 0.58/1.06 ( a25 = a27 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.639.0.1']),
% 0.58/1.06 [weight('<5,635,637,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.639.2.0',plain,
% 0.58/1.06 ( a25 = a27 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.639.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_639]).
% 0.58/1.06 cnf('0.640.0.0',plain,
% 0.58/1.06 ( a31 = a22 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.636.2.0'])).
% 0.58/1.06 cnf('0.640.0.1',plain,
% 0.58/1.06 ( a31 = a27 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.640.0.0','0.637.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.640.1.0',plain,
% 0.58/1.06 ( a31 = a27 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.640.0.1']),
% 0.58/1.06 [weight('<5,636,637,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.640.2.0',plain,
% 0.58/1.06 ( a31 = a27 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.640.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_640]).
% 0.58/1.06 cnf('0.641.0.0',plain,
% 0.58/1.06 ( product(a29,a1) = a28 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.603.2.0'])).
% 0.58/1.06 cnf('0.641.0.1',plain,
% 0.58/1.06 ( product(a29,a24) = a28 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.641.0.0','0.609.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.641.1.0',plain,
% 0.58/1.06 ( product(a29,a24) = a28 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.641.0.1']),
% 0.58/1.06 [weight('<19,603,609,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.641.1.1',plain,
% 0.58/1.06 ( product(a29,a27) = a28 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.641.1.0','0.626.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.641.1.2',plain,
% 0.58/1.06 ( product(a29,a27) = a27 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.641.1.1','0.623.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.641.2.0',plain,
% 0.58/1.06 ( product(a29,a27) = a27 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.641.1.2',theory(equality)]),
% 0.58/1.06 [u,rule_641]).
% 0.58/1.06 cnf('0.642.0.0',plain,
% 0.58/1.06 ( a29 = product(a27,a27) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.2.2.0','0.641.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.642.0.1',plain,
% 0.58/1.06 ( a29 = a27 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.642.0.0','0.1.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.642.1.0',plain,
% 0.58/1.06 ( a29 = a27 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.642.0.1']),
% 0.58/1.06 [weight('<5,641,2,[0,0,0,1]>')]).
% 0.58/1.06 cnf('0.642.2.0',plain,
% 0.58/1.06 ( a29 = a27 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.642.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_642]).
% 0.58/1.06 cnf('0.643.0.0',plain,
% 0.58/1.06 ( product(a27,a29) = a20 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.622.2.0'])).
% 0.58/1.06 cnf('0.643.0.1',plain,
% 0.58/1.06 ( product(a27,a27) = a20 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.643.0.0','0.642.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.643.0.2',plain,
% 0.58/1.06 ( a27 = a20 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.643.0.1','0.1.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.643.1.0',plain,
% 0.58/1.06 ( a27 = a20 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.643.0.2']),
% 0.58/1.06 [weight('<5,622,642,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.643.2.0',plain,
% 0.58/1.06 ( a20 = a27 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.643.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_643]).
% 0.58/1.06 cnf('0.645.0.0',plain,
% 0.58/1.06 ( product(a3,a28) = product(a4,a3) ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.67.2.0'])).
% 0.58/1.06 cnf('0.645.0.1',plain,
% 0.58/1.06 ( product(a1,a28) = product(a4,a3) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.645.0.0','0.601.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.645.0.2',plain,
% 0.58/1.06 ( product(a1,a28) = product(a4,a1) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.645.0.1','0.601.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.2','L')]).
% 0.58/1.06 cnf('0.645.1.0',plain,
% 0.58/1.06 ( product(a1,a28) = product(a4,a1) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.645.0.2']),
% 0.58/1.06 [weight('<27,67,601,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.645.1.1',plain,
% 0.58/1.06 ( product(a27,a28) = product(a4,a1) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.645.1.0','0.631.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.645.1.2',plain,
% 0.58/1.06 ( product(a27,a27) = product(a4,a1) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.645.1.1','0.623.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.645.1.3',plain,
% 0.58/1.06 ( a27 = product(a4,a1) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.645.1.2','0.1.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.645.1.4',plain,
% 0.58/1.06 ( a27 = product(a4,a27) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.645.1.3','0.631.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.2','L')]).
% 0.58/1.06 cnf('0.645.2.0',plain,
% 0.58/1.06 ( product(a4,a27) = a27 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.645.1.4',theory(equality)]),
% 0.58/1.06 [x,rule_645]).
% 0.58/1.06 cnf('0.646.0.0',plain,
% 0.58/1.06 ( a4 = product(a27,a27) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.2.2.0','0.645.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.646.0.1',plain,
% 0.58/1.06 ( a4 = a27 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.646.0.0','0.1.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.646.1.0',plain,
% 0.58/1.06 ( a4 = a27 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.646.0.1']),
% 0.58/1.06 [weight('<5,645,2,[0,0,0,1]>')]).
% 0.58/1.06 cnf('0.646.2.0',plain,
% 0.58/1.06 ( a4 = a27 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.646.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_646]).
% 0.58/1.06 cnf('0.647.0.0',plain,
% 0.58/1.06 ( product(a5,a11) = a4 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.52.2.0'])).
% 0.58/1.06 cnf('0.647.0.1',plain,
% 0.58/1.06 ( product(a5,a11) = a27 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.647.0.0','0.646.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.647.1.0',plain,
% 0.58/1.06 ( product(a5,a11) = a27 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.647.0.1']),
% 0.58/1.06 [weight('<19,52,646,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.647.2.0',plain,
% 0.58/1.06 ( product(a5,a11) = a27 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.647.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_647]).
% 0.58/1.06 cnf('0.648.0.0',plain,
% 0.58/1.06 ( a5 = product(a27,a11) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.2.2.0','0.647.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.648.1.0',plain,
% 0.58/1.06 ( a5 = product(a27,a11) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.648.0.0']),
% 0.58/1.06 [weight('<19,647,2,[0,0,0,1]>')]).
% 0.58/1.06 cnf('0.648.2.0',plain,
% 0.58/1.06 ( product(a27,a11) = a5 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.648.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_648]).
% 0.58/1.06 cnf('0.653.0.0',plain,
% 0.58/1.06 ( product(a19,product(a11,a19)) = product(a20,a19) ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.92.2.0'])).
% 0.58/1.06 cnf('0.653.0.1',plain,
% 0.58/1.06 ( product(a19,product(a11,a19)) = product(a27,a19) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.653.0.0','0.643.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.1','L')]).
% 0.58/1.06 cnf('0.653.1.0',plain,
% 0.58/1.06 ( product(a19,product(a11,a19)) = product(a27,a19) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.653.0.1']),
% 0.58/1.06 [weight('<53,92,643,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.653.2.0',plain,
% 0.58/1.06 ( product(a19,product(a11,a19)) = product(a27,a19) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.653.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_653]).
% 0.58/1.06 cnf('0.654.0.0',plain,
% 0.58/1.06 ( a19 = product(product(a27,a19),product(a11,a19)) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.2.2.0','0.653.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.654.0.1',plain,
% 0.58/1.06 ( a19 = product(product(a27,a11),a19) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.654.0.0','0.3.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.654.0.2',plain,
% 0.58/1.06 ( a19 = product(a5,a19) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.654.0.1','0.648.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.1','L')]).
% 0.58/1.06 cnf('0.654.1.0',plain,
% 0.58/1.06 ( a19 = product(a5,a19) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.654.0.2']),
% 0.58/1.06 [weight('<19,653,2,[0,0,0,1]>')]).
% 0.58/1.06 cnf('0.654.2.0',plain,
% 0.58/1.06 ( product(a5,a19) = a19 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.654.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_654]).
% 0.58/1.06 cnf('0.655.0.0',plain,
% 0.58/1.06 ( a5 = product(a19,a19) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.2.2.0','0.654.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.655.0.1',plain,
% 0.58/1.06 ( a5 = a19 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.655.0.0','0.1.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.655.1.0',plain,
% 0.58/1.06 ( a5 = a19 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.655.0.1']),
% 0.58/1.06 [weight('<5,654,2,[0,0,0,1]>')]).
% 0.58/1.06 cnf('0.655.2.0',plain,
% 0.58/1.06 ( a5 = a19 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.655.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_655]).
% 0.58/1.06 cnf('0.656.0.0',plain,
% 0.58/1.06 ( product(a9,a5) = a8 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.53.2.0'])).
% 0.58/1.06 cnf('0.656.0.1',plain,
% 0.58/1.06 ( product(a9,a19) = a8 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.656.0.0','0.655.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.656.1.0',plain,
% 0.58/1.06 ( product(a9,a19) = a8 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.656.0.1']),
% 0.58/1.06 [weight('<19,53,655,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.656.2.0',plain,
% 0.58/1.06 ( product(a9,a19) = a8 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.656.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_656]).
% 0.58/1.06 cnf('0.657.0.0',plain,
% 0.58/1.06 ( a9 = product(a8,a19) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.2.2.0','0.656.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.657.0.1',plain,
% 0.58/1.06 ( a9 = a7 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.657.0.0','0.48.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.657.1.0',plain,
% 0.58/1.06 ( a9 = a7 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.657.0.1']),
% 0.58/1.06 [weight('<5,656,2,[0,0,0,1]>')]).
% 0.58/1.06 cnf('0.657.2.0',plain,
% 0.58/1.06 ( a9 = a7 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.657.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_657]).
% 0.58/1.06 cnf('0.658.0.0',plain,
% 0.58/1.06 ( product(a9,a18) = product(a10,a9) ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.73.2.0'])).
% 0.58/1.06 cnf('0.658.0.1',plain,
% 0.58/1.06 ( product(a7,a18) = product(a10,a9) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.658.0.0','0.657.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.658.0.2',plain,
% 0.58/1.06 ( product(a7,a18) = product(a10,a7) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.658.0.1','0.657.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.2','L')]).
% 0.58/1.06 cnf('0.658.0.3',plain,
% 0.58/1.06 ( product(a7,a18) = a11 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.658.0.2','0.23.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.658.1.0',plain,
% 0.58/1.06 ( product(a7,a18) = a11 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.658.0.3']),
% 0.58/1.06 [weight('<19,73,657,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.658.2.0',plain,
% 0.58/1.06 ( product(a7,a18) = a11 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.658.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_658]).
% 0.58/1.06 cnf('0.659.0.0',plain,
% 0.58/1.06 ( product(a16,product(a17,a5)) = product(a14,a5) ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.279.2.0'])).
% 0.58/1.06 cnf('0.659.0.1',plain,
% 0.58/1.06 ( product(a16,product(a17,a19)) = product(a14,a5) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.659.0.0','0.655.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2.2','L')]).
% 0.58/1.06 cnf('0.659.0.2',plain,
% 0.58/1.06 ( product(a16,a16) = product(a14,a5) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.659.0.1','0.55.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.659.0.3',plain,
% 0.58/1.06 ( a16 = product(a14,a5) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.659.0.2','0.1.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.659.0.4',plain,
% 0.58/1.06 ( a16 = product(a14,a19) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.659.0.3','0.655.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.2','L')]).
% 0.58/1.06 cnf('0.659.1.0',plain,
% 0.58/1.06 ( a16 = product(a14,a19) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.659.0.4']),
% 0.58/1.06 [weight('<19,279,655,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.659.2.0',plain,
% 0.58/1.06 ( product(a14,a19) = a16 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.659.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_659]).
% 0.58/1.06 cnf('0.660.0.0',plain,
% 0.58/1.06 ( a14 = product(a16,a19) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.2.2.0','0.659.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.660.0.1',plain,
% 0.58/1.06 ( a14 = a17 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.660.0.0','0.24.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.660.1.0',plain,
% 0.58/1.06 ( a14 = a17 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.660.0.1']),
% 0.58/1.06 [weight('<5,659,2,[0,0,0,1]>')]).
% 0.58/1.06 cnf('0.660.2.0',plain,
% 0.58/1.06 ( a17 = a14 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.660.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_660]).
% 0.58/1.06 cnf('0.661.0.0',plain,
% 0.58/1.06 ( product(a15,a17) = a14 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.58.2.0'])).
% 0.58/1.06 cnf('0.661.0.1',plain,
% 0.58/1.06 ( product(a15,a14) = a14 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.661.0.0','0.660.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.661.1.0',plain,
% 0.58/1.06 ( product(a15,a14) = a14 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.661.0.1']),
% 0.58/1.06 [weight('<19,58,660,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.661.2.0',plain,
% 0.58/1.06 ( product(a15,a14) = a14 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.661.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_661]).
% 0.58/1.06 cnf('0.662.0.0',plain,
% 0.58/1.06 ( a15 = product(a14,a14) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.2.2.0','0.661.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.662.0.1',plain,
% 0.58/1.06 ( a15 = a14 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.662.0.0','0.1.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.662.1.0',plain,
% 0.58/1.06 ( a15 = a14 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.662.0.1']),
% 0.58/1.06 [weight('<5,661,2,[0,0,0,1]>')]).
% 0.58/1.06 cnf('0.662.2.0',plain,
% 0.58/1.06 ( a15 = a14 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.662.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_662]).
% 0.58/1.06 cnf('0.663.0.0',plain,
% 0.58/1.06 ( product(a19,a15) = a18 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.56.2.0'])).
% 0.58/1.06 cnf('0.663.0.1',plain,
% 0.58/1.06 ( product(a19,a14) = a18 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.663.0.0','0.662.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.663.1.0',plain,
% 0.58/1.06 ( product(a19,a14) = a18 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.663.0.1']),
% 0.58/1.06 [weight('<19,56,662,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.663.2.0',plain,
% 0.58/1.06 ( product(a19,a14) = a18 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.663.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_663]).
% 0.58/1.06 cnf('0.664.0.0',plain,
% 0.58/1.06 ( product(a12,a8) = product(a14,a19) ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.325.2.0'])).
% 0.58/1.06 cnf('0.664.0.1',plain,
% 0.58/1.06 ( product(a12,a8) = a16 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.664.0.0','0.659.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.664.1.0',plain,
% 0.58/1.06 ( product(a12,a8) = a16 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.664.0.1']),
% 0.58/1.06 [weight('<19,325,659,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.664.2.0',plain,
% 0.58/1.06 ( product(a12,a8) = a16 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.664.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_664]).
% 0.58/1.06 cnf('0.665.0.0',plain,
% 0.58/1.06 ( product(product(a14,a19),a5) = product(a11,a9) ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.366.2.0'])).
% 0.58/1.06 cnf('0.665.0.1',plain,
% 0.58/1.06 ( product(product(a14,a19),a19) = product(a11,a9) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.665.0.0','0.655.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.665.0.2',plain,
% 0.58/1.06 ( a14 = product(a11,a9) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.665.0.1','0.2.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.665.1.0',plain,
% 0.58/1.06 ( a14 = product(a11,a9) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.665.0.2']),
% 0.58/1.06 [weight('<19,366,655,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.665.1.1',plain,
% 0.58/1.06 ( a14 = product(a11,a7) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.665.1.0','0.657.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.2','L')]).
% 0.58/1.06 cnf('0.665.1.2',plain,
% 0.58/1.06 ( a14 = a10 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.665.1.1','0.54.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.665.2.0',plain,
% 0.58/1.06 ( a10 = a14 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.665.1.2',theory(equality)]),
% 0.58/1.06 [x,rule_665]).
% 0.58/1.06 cnf('0.666.0.0',plain,
% 0.58/1.06 ( product(a11,a7) = a10 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.54.2.0'])).
% 0.58/1.06 cnf('0.666.0.1',plain,
% 0.58/1.06 ( product(a11,a7) = a14 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.666.0.0','0.665.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.666.1.0',plain,
% 0.58/1.06 ( product(a11,a7) = a14 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.666.0.1']),
% 0.58/1.06 [weight('<19,54,665,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.666.2.0',plain,
% 0.58/1.06 ( product(a11,a7) = a14 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.666.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_666]).
% 0.58/1.06 cnf('0.667.0.0',plain,
% 0.58/1.06 ( a11 = product(a14,a7) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.2.2.0','0.666.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.667.0.1',plain,
% 0.58/1.06 ( a11 = a13 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.667.0.0','0.59.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.667.1.0',plain,
% 0.58/1.06 ( a11 = a13 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.667.0.1']),
% 0.58/1.06 [weight('<5,666,2,[0,0,0,1]>')]).
% 0.58/1.06 cnf('0.667.2.0',plain,
% 0.58/1.06 ( a11 = a13 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.667.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_667]).
% 0.58/1.06 cnf('0.668.0.0',plain,
% 0.58/1.06 ( product(product(a19,a17),a14) = product(a18,a17) ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.562.2.0'])).
% 0.58/1.06 cnf('0.668.0.1',plain,
% 0.58/1.06 ( product(product(a19,a14),a14) = product(a18,a17) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.668.0.0','0.660.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1.2','L')]).
% 0.58/1.06 cnf('0.668.0.2',plain,
% 0.58/1.06 ( a19 = product(a18,a17) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.668.0.1','0.2.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.668.0.3',plain,
% 0.58/1.06 ( a19 = product(a18,a14) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.668.0.2','0.660.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.2','L')]).
% 0.58/1.06 cnf('0.668.1.0',plain,
% 0.58/1.06 ( a19 = product(a18,a14) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.668.0.3']),
% 0.58/1.06 [weight('<19,562,660,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.668.2.0',plain,
% 0.58/1.06 ( product(a18,a14) = a19 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.668.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_668]).
% 0.58/1.06 cnf('0.669.0.0',plain,
% 0.58/1.06 ( product(a5,a11) = a27 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.647.2.0'])).
% 0.58/1.06 cnf('0.669.0.1',plain,
% 0.58/1.06 ( product(a19,a11) = a27 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.669.0.0','0.655.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.669.1.0',plain,
% 0.58/1.06 ( product(a19,a11) = a27 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.669.0.1']),
% 0.58/1.06 [weight('<19,647,655,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.669.1.1',plain,
% 0.58/1.06 ( product(a19,a13) = a27 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.669.1.0','0.667.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.669.2.0',plain,
% 0.58/1.06 ( product(a19,a13) = a27 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.669.1.1',theory(equality)]),
% 0.58/1.06 [u,rule_669]).
% 0.58/1.06 cnf('0.670.0.0',plain,
% 0.58/1.06 ( product(a27,a11) = a5 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.648.2.0'])).
% 0.58/1.06 cnf('0.670.0.1',plain,
% 0.58/1.06 ( product(a27,a11) = a19 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.670.0.0','0.655.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.670.1.0',plain,
% 0.58/1.06 ( product(a27,a11) = a19 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.670.0.1']),
% 0.58/1.06 [weight('<19,648,655,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.670.1.1',plain,
% 0.58/1.06 ( product(a27,a13) = a19 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.670.1.0','0.667.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.670.2.0',plain,
% 0.58/1.06 ( product(a27,a13) = a19 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.670.1.1',theory(equality)]),
% 0.58/1.06 [u,rule_670]).
% 0.58/1.06 cnf('0.671.0.0',plain,
% 0.58/1.06 ( product(a7,a18) = a11 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.658.2.0'])).
% 0.58/1.06 cnf('0.671.0.1',plain,
% 0.58/1.06 ( product(a7,a18) = a13 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.671.0.0','0.667.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.671.1.0',plain,
% 0.58/1.06 ( product(a7,a18) = a13 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.671.0.1']),
% 0.58/1.06 [weight('<19,658,667,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.671.2.0',plain,
% 0.58/1.06 ( product(a7,a18) = a13 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.671.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_671]).
% 0.58/1.06 cnf('0.672.0.0',plain,
% 0.58/1.06 ( product(product(a14,a7),a19) = product(a16,a8) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.324.2.0','0.659.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.672.0.1',plain,
% 0.58/1.06 ( product(a13,a19) = product(a16,a8) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.672.0.0','0.59.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.672.0.2',plain,
% 0.58/1.06 ( a12 = product(a16,a8) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.672.0.1','0.57.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.672.1.0',plain,
% 0.58/1.06 ( a12 = product(a16,a8) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.672.0.2']),
% 0.58/1.06 [weight('<19,659,324,[0,0,0,1]>')]).
% 0.58/1.06 cnf('0.672.2.0',plain,
% 0.58/1.06 ( product(a16,a8) = a12 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.672.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_672]).
% 0.58/1.06 cnf('0.673.0.0',plain,
% 0.58/1.06 ( product(a13,product(a8,a19)) = product(a16,a19) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.390.2.0','0.664.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.673.0.1',plain,
% 0.58/1.06 ( product(a13,a7) = product(a16,a19) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.673.0.0','0.48.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.673.0.2',plain,
% 0.58/1.06 ( a14 = product(a16,a19) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.673.0.1','0.28.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.673.1.0',plain,
% 0.58/1.06 ( a14 = product(a16,a19) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.673.0.2']),
% 0.58/1.06 [weight('<19,664,390,[0,0,0,1]>')]).
% 0.58/1.06 cnf('0.673.2.0',plain,
% 0.58/1.06 ( product(a16,a19) = a14 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.673.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_673]).
% 0.58/1.06 cnf('0.674.0.0',plain,
% 0.58/1.06 ( a7 = product(a13,a18) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.2.2.0','0.671.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.674.1.0',plain,
% 0.58/1.06 ( a7 = product(a13,a18) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.674.0.0']),
% 0.58/1.06 [weight('<19,671,2,[0,0,0,1]>')]).
% 0.58/1.06 cnf('0.674.2.0',plain,
% 0.58/1.06 ( product(a13,a18) = a7 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.674.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_674]).
% 0.58/1.06 cnf('0.675.0.0',plain,
% 0.58/1.06 ( product(a5,a16) = product(a6,a5) ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.68.2.0'])).
% 0.58/1.06 cnf('0.675.0.1',plain,
% 0.58/1.06 ( product(a19,a16) = product(a6,a5) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.675.0.0','0.655.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.675.0.2',plain,
% 0.58/1.06 ( product(a19,a16) = product(a6,a19) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.675.0.1','0.655.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.2','L')]).
% 0.58/1.06 cnf('0.675.1.0',plain,
% 0.58/1.06 ( product(a19,a16) = product(a6,a19) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.675.0.2']),
% 0.58/1.06 [weight('<27,68,655,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.675.2.0',plain,
% 0.58/1.06 ( product(a19,a16) = product(a6,a19) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.675.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_675]).
% 0.58/1.06 cnf('0.676.0.0',plain,
% 0.58/1.06 ( product(a19,product(a16,a19)) = product(product(a6,a19),a19) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.66.2.0','0.675.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.676.0.1',plain,
% 0.58/1.06 ( product(a19,a14) = product(product(a6,a19),a19) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.676.0.0','0.673.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.676.0.2',plain,
% 0.58/1.06 ( a18 = product(product(a6,a19),a19) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.676.0.1','0.663.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.676.0.3',plain,
% 0.58/1.06 ( a18 = a6 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.676.0.2','0.2.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.676.1.0',plain,
% 0.58/1.06 ( a18 = a6 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.676.0.3']),
% 0.58/1.06 [weight('<5,675,66,[0,0,0,1]>')]).
% 0.58/1.06 cnf('0.676.2.0',plain,
% 0.58/1.06 ( a18 = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.676.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_676]).
% 0.58/1.06 cnf('0.677.0.0',plain,
% 0.58/1.06 ( product(a19,a14) = a18 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.663.2.0'])).
% 0.58/1.06 cnf('0.677.0.1',plain,
% 0.58/1.06 ( product(a19,a14) = a6 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.677.0.0','0.676.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.677.1.0',plain,
% 0.58/1.06 ( product(a19,a14) = a6 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.677.0.1']),
% 0.58/1.06 [weight('<19,663,676,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.677.2.0',plain,
% 0.58/1.06 ( product(a19,a14) = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.677.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_677]).
% 0.58/1.06 cnf('0.678.0.0',plain,
% 0.58/1.06 ( product(a18,a14) = a19 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.668.2.0'])).
% 0.58/1.06 cnf('0.678.0.1',plain,
% 0.58/1.06 ( product(a6,a14) = a19 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.678.0.0','0.676.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.678.1.0',plain,
% 0.58/1.06 ( product(a6,a14) = a19 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.678.0.1']),
% 0.58/1.06 [weight('<19,668,676,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.678.2.0',plain,
% 0.58/1.06 ( product(a6,a14) = a19 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.678.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_678]).
% 0.58/1.06 cnf('0.679.0.0',plain,
% 0.58/1.06 ( product(a7,a18) = a13 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.671.2.0'])).
% 0.58/1.06 cnf('0.679.0.1',plain,
% 0.58/1.06 ( product(a7,a6) = a13 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.679.0.0','0.676.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.679.1.0',plain,
% 0.58/1.06 ( product(a7,a6) = a13 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.679.0.1']),
% 0.58/1.06 [weight('<19,671,676,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.679.2.0',plain,
% 0.58/1.06 ( product(a7,a6) = a13 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.679.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_679]).
% 0.58/1.06 cnf('0.680.0.0',plain,
% 0.58/1.06 ( product(a13,a18) = a7 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.674.2.0'])).
% 0.58/1.06 cnf('0.680.0.1',plain,
% 0.58/1.06 ( product(a13,a6) = a7 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.680.0.0','0.676.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.680.1.0',plain,
% 0.58/1.06 ( product(a13,a6) = a7 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.680.0.1']),
% 0.58/1.06 [weight('<19,674,676,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.680.2.0',plain,
% 0.58/1.06 ( product(a13,a6) = a7 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.680.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_680]).
% 0.58/1.06 cnf('0.683.0.0',plain,
% 0.58/1.06 ( product(a17,a10) = product(a18,a17) ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.72.2.0'])).
% 0.58/1.06 cnf('0.683.0.1',plain,
% 0.58/1.06 ( product(a14,a10) = product(a18,a17) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.683.0.0','0.660.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.683.0.2',plain,
% 0.58/1.06 ( product(a14,a10) = product(a18,a14) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.683.0.1','0.660.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.2','L')]).
% 0.58/1.06 cnf('0.683.1.0',plain,
% 0.58/1.06 ( product(a14,a10) = product(a18,a14) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.683.0.2']),
% 0.58/1.06 [weight('<27,72,660,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.683.1.1',plain,
% 0.58/1.06 ( product(a14,a14) = product(a18,a14) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.683.1.0','0.665.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.683.1.2',plain,
% 0.58/1.06 ( a14 = product(a18,a14) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.683.1.1','0.1.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.683.1.3',plain,
% 0.58/1.06 ( a14 = product(a6,a14) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.683.1.2','0.676.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.1','L')]).
% 0.58/1.06 cnf('0.683.1.4',plain,
% 0.58/1.06 ( a14 = a19 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.683.1.3','0.678.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.683.2.0',plain,
% 0.58/1.06 ( a19 = a14 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.683.1.4',theory(equality)]),
% 0.58/1.06 [x,rule_683]).
% 0.58/1.06 cnf('0.684.0.0',plain,
% 0.58/1.06 ( a5 = a19 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.655.2.0'])).
% 0.58/1.06 cnf('0.684.0.1',plain,
% 0.58/1.06 ( a5 = a14 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.684.0.0','0.683.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.684.1.0',plain,
% 0.58/1.06 ( a5 = a14 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.684.0.1']),
% 0.58/1.06 [weight('<5,655,683,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.684.2.0',plain,
% 0.58/1.06 ( a5 = a14 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.684.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_684]).
% 0.58/1.06 cnf('0.685.0.0',plain,
% 0.58/1.06 ( product(a14,a19) = a16 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.659.2.0'])).
% 0.58/1.06 cnf('0.685.0.1',plain,
% 0.58/1.06 ( product(a14,a14) = a16 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.685.0.0','0.683.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.685.0.2',plain,
% 0.58/1.06 ( a14 = a16 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.685.0.1','0.1.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.685.1.0',plain,
% 0.58/1.06 ( a14 = a16 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.685.0.2']),
% 0.58/1.06 [weight('<5,659,683,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.685.2.0',plain,
% 0.58/1.06 ( a16 = a14 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.685.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_685]).
% 0.58/1.06 cnf('0.686.0.0',plain,
% 0.58/1.06 ( product(a19,a14) = a6 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.677.2.0'])).
% 0.58/1.06 cnf('0.686.0.1',plain,
% 0.58/1.06 ( product(a14,a14) = a6 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.686.0.0','0.683.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.686.0.2',plain,
% 0.58/1.06 ( a14 = a6 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.686.0.1','0.1.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.686.1.0',plain,
% 0.58/1.06 ( a14 = a6 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.686.0.2']),
% 0.58/1.06 [weight('<5,677,683,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.686.2.0',plain,
% 0.58/1.06 ( a14 = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.686.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_686]).
% 0.58/1.06 cnf('0.687.0.0',plain,
% 0.58/1.06 ( a17 = a14 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.660.2.0'])).
% 0.58/1.06 cnf('0.687.0.1',plain,
% 0.58/1.06 ( a17 = a6 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.687.0.0','0.686.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.687.1.0',plain,
% 0.58/1.06 ( a17 = a6 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.687.0.1']),
% 0.58/1.06 [weight('<5,660,686,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.687.2.0',plain,
% 0.58/1.06 ( a17 = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.687.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_687]).
% 0.58/1.06 cnf('0.688.0.0',plain,
% 0.58/1.06 ( a15 = a14 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.662.2.0'])).
% 0.58/1.06 cnf('0.688.0.1',plain,
% 0.58/1.06 ( a15 = a6 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.688.0.0','0.686.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.688.1.0',plain,
% 0.58/1.06 ( a15 = a6 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.688.0.1']),
% 0.58/1.06 [weight('<5,662,686,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.688.2.0',plain,
% 0.58/1.06 ( a15 = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.688.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_688]).
% 0.58/1.06 cnf('0.689.0.0',plain,
% 0.58/1.06 ( a10 = a14 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.665.2.0'])).
% 0.58/1.06 cnf('0.689.0.1',plain,
% 0.58/1.06 ( a10 = a6 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.689.0.0','0.686.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.689.1.0',plain,
% 0.58/1.06 ( a10 = a6 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.689.0.1']),
% 0.58/1.06 [weight('<5,665,686,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.689.2.0',plain,
% 0.58/1.06 ( a10 = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.689.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_689]).
% 0.58/1.06 cnf('0.690.0.0',plain,
% 0.58/1.06 ( a19 = a14 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.683.2.0'])).
% 0.58/1.06 cnf('0.690.0.1',plain,
% 0.58/1.06 ( a19 = a6 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.690.0.0','0.686.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.690.1.0',plain,
% 0.58/1.06 ( a19 = a6 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.690.0.1']),
% 0.58/1.06 [weight('<5,683,686,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.690.2.0',plain,
% 0.58/1.06 ( a19 = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.690.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_690]).
% 0.58/1.06 cnf('0.691.0.0',plain,
% 0.58/1.06 ( a5 = a14 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.684.2.0'])).
% 0.58/1.06 cnf('0.691.0.1',plain,
% 0.58/1.06 ( a5 = a6 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.691.0.0','0.686.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.691.1.0',plain,
% 0.58/1.06 ( a5 = a6 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.691.0.1']),
% 0.58/1.06 [weight('<5,684,686,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.691.2.0',plain,
% 0.58/1.06 ( a5 = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.691.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_691]).
% 0.58/1.06 cnf('0.692.0.0',plain,
% 0.58/1.06 ( a16 = a14 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.685.2.0'])).
% 0.58/1.06 cnf('0.692.0.1',plain,
% 0.58/1.06 ( a16 = a6 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.692.0.0','0.686.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.692.1.0',plain,
% 0.58/1.06 ( a16 = a6 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.692.0.1']),
% 0.58/1.06 [weight('<5,685,686,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.692.2.0',plain,
% 0.58/1.06 ( a16 = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.692.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_692]).
% 0.58/1.06 cnf('0.693.0.0',plain,
% 0.58/1.06 ( product(a14,product(a7,a14)) = product(a13,a14) ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.139.2.0'])).
% 0.58/1.06 cnf('0.693.0.1',plain,
% 0.58/1.06 ( product(a6,product(a7,a14)) = product(a13,a14) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.693.0.0','0.686.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.693.0.2',plain,
% 0.58/1.06 ( product(a6,product(a7,a6)) = product(a13,a14) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.693.0.1','0.686.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2.2','L')]).
% 0.58/1.06 cnf('0.693.0.3',plain,
% 0.58/1.06 ( product(a6,a13) = product(a13,a14) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.693.0.2','0.679.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.693.0.4',plain,
% 0.58/1.06 ( product(a6,a13) = product(a13,a6) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.693.0.3','0.686.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.2','L')]).
% 0.58/1.06 cnf('0.693.0.5',plain,
% 0.58/1.06 ( product(a6,a13) = a7 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.693.0.4','0.680.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.693.1.0',plain,
% 0.58/1.06 ( product(a6,a13) = a7 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.693.0.5']),
% 0.58/1.06 [weight('<19,139,686,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.693.2.0',plain,
% 0.58/1.06 ( product(a6,a13) = a7 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.693.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_693]).
% 0.58/1.06 cnf('0.695.0.0',plain,
% 0.58/1.06 ( product(a19,a13) = a27 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.669.2.0'])).
% 0.58/1.06 cnf('0.695.0.1',plain,
% 0.58/1.06 ( product(a14,a13) = a27 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.695.0.0','0.683.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.695.1.0',plain,
% 0.58/1.06 ( product(a14,a13) = a27 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.695.0.1']),
% 0.58/1.06 [weight('<19,669,683,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.695.1.1',plain,
% 0.58/1.06 ( product(a6,a13) = a27 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.695.1.0','0.686.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.695.1.2',plain,
% 0.58/1.06 ( a7 = a27 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.695.1.1','0.693.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.695.2.0',plain,
% 0.58/1.06 ( a7 = a27 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.695.1.2',theory(equality)]),
% 0.58/1.06 [u,rule_695]).
% 0.58/1.06 cnf('0.696.0.0',plain,
% 0.58/1.06 ( a9 = a7 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.657.2.0'])).
% 0.58/1.06 cnf('0.696.0.1',plain,
% 0.58/1.06 ( a9 = a27 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.696.0.0','0.695.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.696.1.0',plain,
% 0.58/1.06 ( a9 = a27 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.696.0.1']),
% 0.58/1.06 [weight('<5,657,695,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.696.2.0',plain,
% 0.58/1.06 ( a9 = a27 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.696.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_696]).
% 0.58/1.06 cnf('0.697.0.0',plain,
% 0.58/1.06 ( product(a27,a13) = a19 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.670.2.0'])).
% 0.58/1.06 cnf('0.697.0.1',plain,
% 0.58/1.06 ( product(a27,a13) = a14 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.697.0.0','0.683.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.697.1.0',plain,
% 0.58/1.06 ( product(a27,a13) = a14 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.697.0.1']),
% 0.58/1.06 [weight('<19,670,683,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.697.1.1',plain,
% 0.58/1.06 ( product(a27,a13) = a6 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.697.1.0','0.686.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.697.2.0',plain,
% 0.58/1.06 ( product(a27,a13) = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.697.1.1',theory(equality)]),
% 0.58/1.06 [u,rule_697]).
% 0.58/1.06 cnf('0.698.0.0',plain,
% 0.58/1.06 ( product(a16,a8) = a12 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.672.2.0'])).
% 0.58/1.06 cnf('0.698.0.1',plain,
% 0.58/1.06 ( product(a14,a8) = a12 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.698.0.0','0.685.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.698.1.0',plain,
% 0.58/1.06 ( product(a14,a8) = a12 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.698.0.1']),
% 0.58/1.06 [weight('<19,672,685,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.698.1.1',plain,
% 0.58/1.06 ( product(a6,a8) = a12 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.698.1.0','0.686.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.698.2.0',plain,
% 0.58/1.06 ( product(a6,a8) = a12 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.698.1.1',theory(equality)]),
% 0.58/1.06 [u,rule_698]).
% 0.58/1.06 cnf('0.699.0.0',plain,
% 0.58/1.06 ( product(a7,a6) = a13 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.679.2.0'])).
% 0.58/1.06 cnf('0.699.0.1',plain,
% 0.58/1.06 ( product(a27,a6) = a13 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.699.0.0','0.695.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.699.1.0',plain,
% 0.58/1.06 ( product(a27,a6) = a13 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.699.0.1']),
% 0.58/1.06 [weight('<19,679,695,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.699.2.0',plain,
% 0.58/1.06 ( product(a27,a6) = a13 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.699.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_699]).
% 0.58/1.06 cnf('0.700.0.0',plain,
% 0.58/1.06 ( product(a13,a6) = a7 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.680.2.0'])).
% 0.58/1.06 cnf('0.700.0.1',plain,
% 0.58/1.06 ( product(a13,a6) = a27 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.700.0.0','0.695.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.700.1.0',plain,
% 0.58/1.06 ( product(a13,a6) = a27 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.700.0.1']),
% 0.58/1.06 [weight('<19,680,695,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.700.2.0',plain,
% 0.58/1.06 ( product(a13,a6) = a27 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.700.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_700]).
% 0.58/1.06 cnf('0.701.0.0',plain,
% 0.58/1.06 ( product(a6,a13) = a7 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.693.2.0'])).
% 0.58/1.06 cnf('0.701.0.1',plain,
% 0.58/1.06 ( product(a6,a13) = a27 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.701.0.0','0.695.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.701.1.0',plain,
% 0.58/1.06 ( product(a6,a13) = a27 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.701.0.1']),
% 0.58/1.06 [weight('<19,693,695,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.701.2.0',plain,
% 0.58/1.06 ( product(a6,a13) = a27 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.701.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_701]).
% 0.58/1.06 cnf('0.702.0.0',plain,
% 0.58/1.06 ( product(a6,product(a13,a6)) = product(a27,a6) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.66.2.0','0.701.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.702.0.1',plain,
% 0.58/1.06 ( product(a6,a27) = product(a27,a6) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.702.0.0','0.700.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.702.0.2',plain,
% 0.58/1.06 ( product(a6,a27) = a13 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.702.0.1','0.699.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.702.1.0',plain,
% 0.58/1.06 ( product(a6,a27) = a13 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.702.0.2']),
% 0.58/1.06 [weight('<19,701,66,[0,0,0,1]>')]).
% 0.58/1.06 cnf('0.702.2.0',plain,
% 0.58/1.06 ( product(a6,a27) = a13 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.702.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_702]).
% 0.58/1.06 cnf('0.704.0.0',plain,
% 0.58/1.06 ( product(a7,product(a19,a7)) = product(a8,a7) ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.99.2.0'])).
% 0.58/1.06 cnf('0.704.0.1',plain,
% 0.58/1.06 ( product(a7,product(a14,a7)) = product(a8,a7) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.704.0.0','0.683.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2.1','L')]).
% 0.58/1.06 cnf('0.704.0.2',plain,
% 0.58/1.06 ( product(a7,a13) = product(a8,a7) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.704.0.1','0.59.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.704.1.0',plain,
% 0.58/1.06 ( product(a7,a13) = product(a8,a7) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.704.0.2']),
% 0.58/1.06 [weight('<27,99,683,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.704.1.1',plain,
% 0.58/1.06 ( product(a27,a13) = product(a8,a7) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.704.1.0','0.695.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.704.1.2',plain,
% 0.58/1.06 ( a6 = product(a8,a7) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.704.1.1','0.697.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.704.1.3',plain,
% 0.58/1.06 ( a6 = product(a8,a27) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.704.1.2','0.695.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.2','L')]).
% 0.58/1.06 cnf('0.704.2.0',plain,
% 0.58/1.06 ( product(a8,a27) = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.704.1.3',theory(equality)]),
% 0.58/1.06 [x,rule_704]).
% 0.58/1.06 cnf('0.705.0.0',plain,
% 0.58/1.06 ( a8 = product(a6,a27) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.2.2.0','0.704.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.705.0.1',plain,
% 0.58/1.06 ( a8 = a13 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.705.0.0','0.702.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.705.1.0',plain,
% 0.58/1.06 ( a8 = a13 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.705.0.1']),
% 0.58/1.06 [weight('<5,704,2,[0,0,0,1]>')]).
% 0.58/1.06 cnf('0.705.2.0',plain,
% 0.58/1.06 ( a8 = a13 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.705.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_705]).
% 0.58/1.06 cnf('0.706.0.0',plain,
% 0.58/1.06 ( product(a6,a8) = a12 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.698.2.0'])).
% 0.58/1.06 cnf('0.706.0.1',plain,
% 0.58/1.06 ( product(a6,a13) = a12 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.706.0.0','0.705.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.706.0.2',plain,
% 0.58/1.06 ( a27 = a12 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.706.0.1','0.701.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.706.1.0',plain,
% 0.58/1.06 ( a27 = a12 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.706.0.2']),
% 0.58/1.06 [weight('<5,698,705,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.706.2.0',plain,
% 0.58/1.06 ( a12 = a27 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.706.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_706]).
% 0.58/1.06 cnf('0.707.0.0',plain,
% 0.58/1.06 ( product(a18,product(a10,a9)) = product(a17,a18) ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.128.2.0'])).
% 0.58/1.06 cnf('0.707.0.1',plain,
% 0.58/1.06 ( product(a18,product(a10,a7)) = product(a17,a18) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.707.0.0','0.657.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2.2','L')]).
% 0.58/1.06 cnf('0.707.0.2',plain,
% 0.58/1.06 ( product(a18,a11) = product(a17,a18) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.707.0.1','0.23.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.707.1.0',plain,
% 0.58/1.06 ( product(a18,a11) = product(a17,a18) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.707.0.2']),
% 0.58/1.06 [weight('<27,128,657,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.707.1.1',plain,
% 0.58/1.06 ( product(a6,a11) = product(a17,a18) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.707.1.0','0.676.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.707.1.2',plain,
% 0.58/1.06 ( product(a6,a13) = product(a17,a18) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.707.1.1','0.667.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.707.1.3',plain,
% 0.58/1.06 ( a27 = product(a17,a18) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.707.1.2','0.701.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.707.1.4',plain,
% 0.58/1.06 ( a27 = product(a6,a18) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.707.1.3','0.687.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.1','L')]).
% 0.58/1.06 cnf('0.707.1.5',plain,
% 0.58/1.06 ( a27 = product(a6,a6) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.707.1.4','0.676.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.2','L')]).
% 0.58/1.06 cnf('0.707.1.6',plain,
% 0.58/1.06 ( a27 = a6 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.707.1.5','0.1.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.707.2.0',plain,
% 0.58/1.06 ( a27 = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.707.1.6',theory(equality)]),
% 0.58/1.06 [u,rule_707]).
% 0.58/1.06 cnf('0.708.0.0',plain,
% 0.58/1.06 ( a28 = a27 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.623.2.0'])).
% 0.58/1.06 cnf('0.708.0.1',plain,
% 0.58/1.06 ( a28 = a6 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.708.0.0','0.707.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.708.1.0',plain,
% 0.58/1.06 ( a28 = a6 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.708.0.1']),
% 0.58/1.06 [weight('<5,623,707,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.708.2.0',plain,
% 0.58/1.06 ( a28 = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.708.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_708]).
% 0.58/1.06 cnf('0.709.0.0',plain,
% 0.58/1.06 ( a26 = a27 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.624.2.0'])).
% 0.58/1.06 cnf('0.709.0.1',plain,
% 0.58/1.06 ( a26 = a6 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.709.0.0','0.707.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.709.1.0',plain,
% 0.58/1.06 ( a26 = a6 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.709.0.1']),
% 0.58/1.06 [weight('<5,624,707,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.709.2.0',plain,
% 0.58/1.06 ( a26 = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.709.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_709]).
% 0.58/1.06 cnf('0.710.0.0',plain,
% 0.58/1.06 ( a30 = a27 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.625.2.0'])).
% 0.58/1.06 cnf('0.710.0.1',plain,
% 0.58/1.06 ( a30 = a6 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.710.0.0','0.707.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.710.1.0',plain,
% 0.58/1.06 ( a30 = a6 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.710.0.1']),
% 0.58/1.06 [weight('<5,625,707,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.710.2.0',plain,
% 0.58/1.06 ( a30 = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.710.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_710]).
% 0.58/1.06 cnf('0.711.0.0',plain,
% 0.58/1.06 ( a24 = a27 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.626.2.0'])).
% 0.58/1.06 cnf('0.711.0.1',plain,
% 0.58/1.06 ( a24 = a6 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.711.0.0','0.707.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.711.1.0',plain,
% 0.58/1.06 ( a24 = a6 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.711.0.1']),
% 0.58/1.06 [weight('<5,626,707,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.711.2.0',plain,
% 0.58/1.06 ( a24 = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.711.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_711]).
% 0.58/1.06 cnf('0.712.0.0',plain,
% 0.58/1.06 ( a23 = a27 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.627.2.0'])).
% 0.58/1.06 cnf('0.712.0.1',plain,
% 0.58/1.06 ( a23 = a6 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.712.0.0','0.707.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.712.1.0',plain,
% 0.58/1.06 ( a23 = a6 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.712.0.1']),
% 0.58/1.06 [weight('<5,627,707,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.712.2.0',plain,
% 0.58/1.06 ( a23 = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.712.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_712]).
% 0.58/1.06 cnf('0.713.0.0',plain,
% 0.58/1.06 ( a21 = a27 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.628.2.0'])).
% 0.58/1.06 cnf('0.713.0.1',plain,
% 0.58/1.06 ( a21 = a6 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.713.0.0','0.707.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.713.1.0',plain,
% 0.58/1.06 ( a21 = a6 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.713.0.1']),
% 0.58/1.06 [weight('<5,628,707,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.713.2.0',plain,
% 0.58/1.06 ( a21 = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.713.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_713]).
% 0.58/1.06 cnf('0.714.0.0',plain,
% 0.58/1.06 ( a32 = a27 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.629.2.0'])).
% 0.58/1.06 cnf('0.714.0.1',plain,
% 0.58/1.06 ( a32 = a6 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.714.0.0','0.707.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.714.1.0',plain,
% 0.58/1.06 ( a32 = a6 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.714.0.1']),
% 0.58/1.06 [weight('<5,629,707,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.714.2.0',plain,
% 0.58/1.06 ( a32 = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.714.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_714]).
% 0.58/1.06 cnf('0.715.0.0',plain,
% 0.58/1.06 ( a1 = a27 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.631.2.0'])).
% 0.58/1.06 cnf('0.715.0.1',plain,
% 0.58/1.06 ( a1 = a6 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.715.0.0','0.707.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.715.1.0',plain,
% 0.58/1.06 ( a1 = a6 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.715.0.1']),
% 0.58/1.06 [weight('<5,631,707,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.715.2.0',plain,
% 0.58/1.06 ( a1 = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.715.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_715]).
% 0.58/1.06 cnf('0.716.0.0',plain,
% 0.58/1.06 ( a3 = a27 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.632.2.0'])).
% 0.58/1.06 cnf('0.716.0.1',plain,
% 0.58/1.06 ( a3 = a6 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.716.0.0','0.707.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.716.1.0',plain,
% 0.58/1.06 ( a3 = a6 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.716.0.1']),
% 0.58/1.06 [weight('<5,632,707,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.716.2.0',plain,
% 0.58/1.06 ( a3 = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.716.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_716]).
% 0.58/1.06 cnf('0.717.0.0',plain,
% 0.58/1.06 ( a22 = a27 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.637.2.0'])).
% 0.58/1.06 cnf('0.717.0.1',plain,
% 0.58/1.06 ( a22 = a6 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.717.0.0','0.707.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.717.1.0',plain,
% 0.58/1.06 ( a22 = a6 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.717.0.1']),
% 0.58/1.06 [weight('<5,637,707,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.717.2.0',plain,
% 0.58/1.06 ( a22 = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.717.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_717]).
% 0.58/1.06 cnf('0.718.0.0',plain,
% 0.58/1.06 ( a2 = a27 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.638.2.0'])).
% 0.58/1.06 cnf('0.718.0.1',plain,
% 0.58/1.06 ( a2 = a6 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.718.0.0','0.707.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.718.1.0',plain,
% 0.58/1.06 ( a2 = a6 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.718.0.1']),
% 0.58/1.06 [weight('<5,638,707,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.718.2.0',plain,
% 0.58/1.06 ( a2 = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.718.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_718]).
% 0.58/1.06 cnf('0.719.0.0',plain,
% 0.58/1.06 ( a25 = a27 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.639.2.0'])).
% 0.58/1.06 cnf('0.719.0.1',plain,
% 0.58/1.06 ( a25 = a6 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.719.0.0','0.707.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.719.1.0',plain,
% 0.58/1.06 ( a25 = a6 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.719.0.1']),
% 0.58/1.06 [weight('<5,639,707,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.719.2.0',plain,
% 0.58/1.06 ( a25 = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.719.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_719]).
% 0.58/1.06 cnf('0.720.0.0',plain,
% 0.58/1.06 ( a31 = a27 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.640.2.0'])).
% 0.58/1.06 cnf('0.720.0.1',plain,
% 0.58/1.06 ( a31 = a6 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.720.0.0','0.707.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.720.1.0',plain,
% 0.58/1.06 ( a31 = a6 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.720.0.1']),
% 0.58/1.06 [weight('<5,640,707,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.720.2.0',plain,
% 0.58/1.06 ( a31 = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.720.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_720]).
% 0.58/1.06 cnf('0.721.0.0',plain,
% 0.58/1.06 ( a29 = a27 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.642.2.0'])).
% 0.58/1.06 cnf('0.721.0.1',plain,
% 0.58/1.06 ( a29 = a6 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.721.0.0','0.707.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.721.1.0',plain,
% 0.58/1.06 ( a29 = a6 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.721.0.1']),
% 0.58/1.06 [weight('<5,642,707,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.721.2.0',plain,
% 0.58/1.06 ( a29 = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.721.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_721]).
% 0.58/1.06 cnf('0.722.0.0',plain,
% 0.58/1.06 ( a20 = a27 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.643.2.0'])).
% 0.58/1.06 cnf('0.722.0.1',plain,
% 0.58/1.06 ( a20 = a6 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.722.0.0','0.707.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.722.1.0',plain,
% 0.58/1.06 ( a20 = a6 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.722.0.1']),
% 0.58/1.06 [weight('<5,643,707,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.722.2.0',plain,
% 0.58/1.06 ( a20 = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.722.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_722]).
% 0.58/1.06 cnf('0.723.0.0',plain,
% 0.58/1.06 ( a4 = a27 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.646.2.0'])).
% 0.58/1.06 cnf('0.723.0.1',plain,
% 0.58/1.06 ( a4 = a6 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.723.0.0','0.707.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.723.1.0',plain,
% 0.58/1.06 ( a4 = a6 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.723.0.1']),
% 0.58/1.06 [weight('<5,646,707,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.723.2.0',plain,
% 0.58/1.06 ( a4 = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.723.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_723]).
% 0.58/1.06 cnf('0.724.0.0',plain,
% 0.58/1.06 ( a7 = a27 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.695.2.0'])).
% 0.58/1.06 cnf('0.724.0.1',plain,
% 0.58/1.06 ( a7 = a6 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.724.0.0','0.707.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.724.1.0',plain,
% 0.58/1.06 ( a7 = a6 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.724.0.1']),
% 0.58/1.06 [weight('<5,695,707,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.724.2.0',plain,
% 0.58/1.06 ( a7 = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.724.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_724]).
% 0.58/1.06 cnf('0.725.0.0',plain,
% 0.58/1.06 ( a9 = a27 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.696.2.0'])).
% 0.58/1.06 cnf('0.725.0.1',plain,
% 0.58/1.06 ( a9 = a6 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.725.0.0','0.707.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.725.1.0',plain,
% 0.58/1.06 ( a9 = a6 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.725.0.1']),
% 0.58/1.06 [weight('<5,696,707,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.725.2.0',plain,
% 0.58/1.06 ( a9 = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.725.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_725]).
% 0.58/1.06 cnf('0.726.0.0',plain,
% 0.58/1.06 ( product(a27,a6) = a13 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.699.2.0'])).
% 0.58/1.06 cnf('0.726.0.1',plain,
% 0.58/1.06 ( product(a6,a6) = a13 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.726.0.0','0.707.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.726.0.2',plain,
% 0.58/1.06 ( a6 = a13 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.726.0.1','0.1.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.726.1.0',plain,
% 0.58/1.06 ( a6 = a13 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.726.0.2']),
% 0.58/1.06 [weight('<5,699,707,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.726.2.0',plain,
% 0.58/1.06 ( a13 = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.726.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_726]).
% 0.58/1.06 cnf('0.727.0.0',plain,
% 0.58/1.06 ( a11 = a13 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.667.2.0'])).
% 0.58/1.06 cnf('0.727.0.1',plain,
% 0.58/1.06 ( a11 = a6 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.727.0.0','0.726.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.727.1.0',plain,
% 0.58/1.06 ( a11 = a6 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.727.0.1']),
% 0.58/1.06 [weight('<5,667,726,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.727.2.0',plain,
% 0.58/1.06 ( a11 = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.727.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_727]).
% 0.58/1.06 cnf('0.728.0.0',plain,
% 0.58/1.06 ( a8 = a13 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.705.2.0'])).
% 0.58/1.06 cnf('0.728.0.1',plain,
% 0.58/1.06 ( a8 = a6 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.728.0.0','0.726.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.728.1.0',plain,
% 0.58/1.06 ( a8 = a6 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.728.0.1']),
% 0.58/1.06 [weight('<5,705,726,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.728.2.0',plain,
% 0.58/1.06 ( a8 = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.728.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_728]).
% 0.58/1.06 cnf('0.729.0.0',plain,
% 0.58/1.06 ( a12 = a27 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.706.2.0'])).
% 0.58/1.06 cnf('0.729.0.1',plain,
% 0.58/1.06 ( a12 = a6 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.729.0.0','0.707.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.729.1.0',plain,
% 0.58/1.06 ( a12 = a6 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.729.0.1']),
% 0.58/1.06 [weight('<5,706,707,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.729.2.0',plain,
% 0.58/1.06 ( a12 = a6 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.729.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_729]).
% 0.58/1.06 cnf('1.0.0.0',conjecture,
% 0.58/1.06 ( tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 file('/tmp/WALDMEISTER_7642_n024',conjecture_1)).
% 0.58/1.06 cnf('1.0.0.1',plain,
% 0.58/1.06 ( tuple(a6,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.0','0.715.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('1.0.0.2',plain,
% 0.58/1.06 ( tuple(a6,a6,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.1','0.710.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('1.0.0.3',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.2','0.720.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.3','L')]).
% 0.58/1.06 cnf('1.0.0.4',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.3','0.718.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.4','L')]).
% 0.58/1.06 cnf('1.0.0.5',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.4','0.711.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.5','L')]).
% 0.58/1.06 cnf('1.0.0.6',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.5','0.719.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.6','L')]).
% 0.58/1.06 cnf('1.0.0.7',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.6','0.716.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.7','L')]).
% 0.58/1.06 cnf('1.0.0.8',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.7','0.708.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.8','L')]).
% 0.58/1.06 cnf('1.0.0.9',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.8','0.721.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.9','L')]).
% 0.58/1.06 cnf('1.0.0.10',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.9','0.723.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.10','L')]).
% 0.58/1.06 cnf('1.0.0.11',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.10','0.689.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.11','L')]).
% 0.58/1.06 cnf('1.0.0.12',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.11','0.727.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.12','L')]).
% 0.58/1.06 cnf('1.0.0.13',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.12','0.691.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.13','L')]).
% 0.58/1.06 cnf('1.0.0.14',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.13','0.686.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.14','L')]).
% 0.58/1.06 cnf('1.0.0.15',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.14','0.688.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.15','L')]).
% 0.58/1.06 cnf('1.0.0.16',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.15','0.724.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.17','L')]).
% 0.58/1.06 cnf('1.0.0.17',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.16','0.676.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.18','L')]).
% 0.58/1.06 cnf('1.0.0.18',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.17','0.690.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.19','L')]).
% 0.58/1.06 cnf('1.0.0.19',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.18','0.728.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.20','L')]).
% 0.58/1.06 cnf('1.0.0.20',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.19','0.725.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.21','L')]).
% 0.58/1.06 cnf('1.0.0.21',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.20','0.692.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.22','L')]).
% 0.58/1.06 cnf('1.0.0.22',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.21','0.687.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.23','L')]).
% 0.58/1.06 cnf('1.0.0.23',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a13,a20,a21,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.22','0.729.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.24','L')]).
% 0.58/1.06 cnf('1.0.0.24',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a20,a21,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.23','0.726.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.25','L')]).
% 0.58/1.06 cnf('1.0.0.25',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a21,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.24','0.722.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.26','L')]).
% 0.58/1.06 cnf('1.0.0.26',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.25','0.713.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.27','L')]).
% 0.58/1.06 cnf('1.0.0.27',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.26','0.717.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.28','L')]).
% 0.58/1.06 cnf('1.0.0.28',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.27','0.712.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.29','L')]).
% 0.58/1.06 cnf('1.0.0.29',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.28','0.709.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.30','L')]).
% 0.58/1.06 cnf('1.0.0.30',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.29','0.707.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.31','L')]).
% 0.58/1.06 cnf('1.0.0.31',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.30','0.718.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.1','L')]).
% 0.58/1.06 cnf('1.0.0.32',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.31','0.720.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.2','L')]).
% 0.58/1.06 cnf('1.0.0.33',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.32','0.714.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.3','L')]).
% 0.58/1.06 cnf('1.0.0.34',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.33','0.716.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.4','L')]).
% 0.58/1.06 cnf('1.0.0.35',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a6,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.34','0.719.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.5','L')]).
% 0.58/1.06 cnf('1.0.0.36',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a6,a6,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.35','0.709.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.6','L')]).
% 0.58/1.06 cnf('1.0.0.37',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a6,a6,a6,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.36','0.723.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.7','L')]).
% 0.58/1.06 cnf('1.0.0.38',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.37','0.721.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.8','L')]).
% 0.58/1.06 cnf('1.0.0.39',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.38','0.710.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.9','L')]).
% 0.58/1.06 cnf('1.0.0.40',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.39','0.691.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.10','L')]).
% 0.58/1.06 cnf('1.0.0.41',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.40','0.727.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.11','L')]).
% 0.58/1.06 cnf('1.0.0.42',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.41','0.729.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.12','L')]).
% 0.58/1.06 cnf('1.0.0.43',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.42','0.688.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.14','L')]).
% 0.58/1.06 cnf('1.0.0.44',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.43','0.692.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.15','L')]).
% 0.58/1.06 cnf('1.0.0.45',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.44','0.724.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.16','L')]).
% 0.58/1.06 cnf('1.0.0.46',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.45','0.728.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.17','L')]).
% 0.58/1.06 cnf('1.0.0.47',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.46','0.690.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.18','L')]).
% 0.58/1.06 cnf('1.0.0.48',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.47','0.722.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.19','L')]).
% 0.58/1.06 cnf('1.0.0.49',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.48','0.725.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.20','L')]).
% 0.58/1.06 cnf('1.0.0.50',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.49','0.689.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.21','L')]).
% 0.58/1.06 cnf('1.0.0.51',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.50','0.687.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.22','L')]).
% 0.58/1.06 cnf('1.0.0.52',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a13,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.51','0.676.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.23','L')]).
% 0.58/1.06 cnf('1.0.0.53',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a14,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.52','0.726.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.24','L')]).
% 0.58/1.06 cnf('1.0.0.54',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a21,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.53','0.686.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.25','L')]).
% 0.58/1.06 cnf('1.0.0.55',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a22,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.54','0.713.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.26','L')]).
% 0.58/1.06 cnf('1.0.0.56',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a23,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.55','0.717.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.27','L')]).
% 0.58/1.06 cnf('1.0.0.57',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a24,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.56','0.712.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.28','L')]).
% 0.58/1.06 cnf('1.0.0.58',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a27,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.57','0.711.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.29','L')]).
% 0.58/1.06 cnf('1.0.0.59',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a28) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.58','0.707.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.30','L')]).
% 0.58/1.06 cnf('1.0.0.60',plain,
% 0.58/1.06 ( tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.59','0.708.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.31','L')]).
% 0.58/1.06 cnf('1.0.0.61',plain,
% 0.58/1.06 ( $true ),
% 0.58/1.06 inference(trivial,[status(thm)],['1.0.0.60',theory(equality)]),
% 0.58/1.06 [conjecture_1]).
% 0.58/1.06
% 0.58/1.06 Proved Goals:
% 0.58/1.06 No. 1: tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ?= tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) joined, current: tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6)
% 0.58/1.06 1 goal was specified, which was proved.
% 0.58/1.06 % SZS output end CNFRefutation
% 0.58/1.06 #END OF PROOF
% 0.58/1.06
% 0.58/1.06 Problem WALDMEISTER_7642_n024
% 0.58/1.06 CPs.gen 10760
% 0.58/1.06 CPs.reexp 0
% 0.58/1.06 Select 924
% 0.58/1.06 R 729
% 0.58/1.06 E 0
% 0.58/1.06 vsize 8.2M
% 0.58/1.06 rss 7.3M
% 0.58/1.06 process.time 0.111s
% 0.58/1.06 wallclock.time 0.111s
% 0.58/1.06 status S
% 0.58/1.06
% 0.58/1.06
% 0.58/1.06 Waldmeister states: Goal proved.
% 0.58/1.06 % SZS status Unsatisfiable
%------------------------------------------------------------------------------