TSTP Solution File: TOP051-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : TOP051-1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n029.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 0.63s 1.01s
% Output : CNFRefutation 0.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : TOP051-1 : TPTP v8.1.0. Released v8.1.0.
% 0.10/0.12 % Command : woody %s
% 0.11/0.32 % Computer : n029.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sun May 29 14:30:13 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.60/0.99 ********************************************************************************
% 0.60/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.60/0.99 * |/ | \/ | *
% 0.60/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.60/0.99 * A. Jaeger and B. Loechner | | *
% 0.60/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.60/0.99 ********************************************************************************
% 0.60/0.99
% 0.60/0.99
% 0.60/0.99 Goals:
% 0.60/0.99 ------
% 0.60/0.99
% 0.60/0.99 ( 1) tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9) ?=? tuple(a1,a6,a5,a2,a7,a3,a4,a9,a10,a8)
% 0.60/0.99
% 0.60/0.99 Detected structure: Orkus
% 0.60/0.99 ********************************************************************************
% 0.60/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.60/0.99 ********************************************************************************
% 0.60/0.99
% 0.63/1.01 joined goal: 1 tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9) ?= tuple(a1,a6,a5,a2,a7,a3,a4,a9,a10,a8) to tuple(a11,a11,a11,a11,a11,a11,a11,a11,a11,a11)
% 0.63/1.01 goal joined
% 0.63/1.01 % SZS status Unsatisfiable
% 0.63/1.01 #START OF PROOF
% 0.63/1.01 % SZS output start CNFRefutation
% 0.63/1.01 cnf('0.1.0.0',axiom,
% 0.63/1.01 ( X1 = product(X1,X1) ),
% 0.63/1.01 file('/tmp/WALDMEISTER_1250_n029')).
% 0.63/1.01 cnf('0.1.1.0',plain,
% 0.63/1.01 ( X1 = product(X1,X1) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.63/1.01 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.63/1.01 cnf('0.1.2.0',plain,
% 0.63/1.01 ( product(X1,X1) = X1 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_1]).
% 0.63/1.01 cnf('0.2.0.0',axiom,
% 0.63/1.01 ( X1 = product(product(X1,X2),X2) ),
% 0.63/1.01 file('/tmp/WALDMEISTER_1250_n029')).
% 0.63/1.01 cnf('0.2.1.0',plain,
% 0.63/1.01 ( X1 = product(product(X1,X2),X2) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.63/1.01 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.63/1.01 cnf('0.2.2.0',plain,
% 0.63/1.01 ( product(product(X1,X2),X2) = X1 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_2]).
% 0.63/1.01 cnf('0.3.0.0',axiom,
% 0.63/1.01 ( product(product(X1,X2),X3) = product(product(X1,X3),product(X2,X3)) ),
% 0.63/1.01 file('/tmp/WALDMEISTER_1250_n029')).
% 0.63/1.01 cnf('0.3.1.0',plain,
% 0.63/1.01 ( product(product(X1,X2),X3) = product(product(X1,X3),product(X2,X3)) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.63/1.01 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.63/1.01 cnf('0.3.2.0',plain,
% 0.63/1.01 ( product(product(X1,X2),product(X3,X2)) = product(product(X1,X3),X2) ),
% 0.63/1.01 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_3]).
% 0.63/1.01 cnf('0.4.0.0',axiom,
% 0.63/1.01 ( product(a6,a2) = a7 ),
% 0.63/1.01 file('/tmp/WALDMEISTER_1250_n029')).
% 0.63/1.01 cnf('0.4.1.0',plain,
% 0.63/1.01 ( product(a6,a2) = a7 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.63/1.01 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.63/1.01 cnf('0.4.2.0',plain,
% 0.63/1.01 ( product(a6,a2) = a7 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_4]).
% 0.63/1.01 cnf('0.5.0.0',axiom,
% 0.63/1.01 ( product(a2,a7) = a3 ),
% 0.63/1.01 file('/tmp/WALDMEISTER_1250_n029')).
% 0.63/1.01 cnf('0.5.1.0',plain,
% 0.63/1.01 ( product(a2,a7) = a3 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.63/1.01 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.63/1.01 cnf('0.5.2.0',plain,
% 0.63/1.01 ( product(a2,a7) = a3 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_5]).
% 0.63/1.01 cnf('0.6.0.0',axiom,
% 0.63/1.01 ( product(a7,a3) = a8 ),
% 0.63/1.01 file('/tmp/WALDMEISTER_1250_n029')).
% 0.63/1.01 cnf('0.6.1.0',plain,
% 0.63/1.01 ( product(a7,a3) = a8 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.63/1.01 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.63/1.01 cnf('0.6.2.0',plain,
% 0.63/1.01 ( product(a7,a3) = a8 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_6]).
% 0.63/1.01 cnf('0.7.0.0',axiom,
% 0.63/1.01 ( product(a3,a1) = a4 ),
% 0.63/1.01 file('/tmp/WALDMEISTER_1250_n029')).
% 0.63/1.01 cnf('0.7.1.0',plain,
% 0.63/1.01 ( product(a3,a1) = a4 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.63/1.01 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.63/1.01 cnf('0.7.2.0',plain,
% 0.63/1.01 ( product(a3,a1) = a4 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_7]).
% 0.63/1.01 cnf('0.8.0.0',axiom,
% 0.63/1.01 ( product(a5,a9) = a6 ),
% 0.63/1.01 file('/tmp/WALDMEISTER_1250_n029')).
% 0.63/1.01 cnf('0.8.1.0',plain,
% 0.63/1.01 ( product(a5,a9) = a6 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.63/1.01 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.63/1.01 cnf('0.8.2.0',plain,
% 0.63/1.01 ( product(a5,a9) = a6 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_8]).
% 0.63/1.01 cnf('0.9.0.0',axiom,
% 0.63/1.01 ( product(a4,a10) = a5 ),
% 0.63/1.01 file('/tmp/WALDMEISTER_1250_n029')).
% 0.63/1.01 cnf('0.9.1.0',plain,
% 0.63/1.01 ( product(a4,a10) = a5 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.63/1.01 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.63/1.01 cnf('0.9.2.0',plain,
% 0.63/1.01 ( product(a4,a10) = a5 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_9]).
% 0.63/1.01 cnf('0.10.0.0',axiom,
% 0.63/1.01 ( product(a10,a5) = a11 ),
% 0.63/1.01 file('/tmp/WALDMEISTER_1250_n029')).
% 0.63/1.01 cnf('0.10.1.0',plain,
% 0.63/1.01 ( product(a10,a5) = a11 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.63/1.01 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.63/1.01 cnf('0.10.2.0',plain,
% 0.63/1.01 ( product(a10,a5) = a11 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_10]).
% 0.63/1.01 cnf('0.11.0.0',axiom,
% 0.63/1.01 ( product(a9,a4) = a10 ),
% 0.63/1.01 file('/tmp/WALDMEISTER_1250_n029')).
% 0.63/1.01 cnf('0.11.1.0',plain,
% 0.63/1.01 ( product(a9,a4) = a10 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.63/1.01 [weight('<10,0,0,[0,0,0,11]>')]).
% 0.63/1.01 cnf('0.11.2.0',plain,
% 0.63/1.01 ( product(a9,a4) = a10 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_11]).
% 0.63/1.01 cnf('0.12.0.0',axiom,
% 0.63/1.01 ( product(a8,a6) = a9 ),
% 0.63/1.01 file('/tmp/WALDMEISTER_1250_n029')).
% 0.63/1.01 cnf('0.12.1.0',plain,
% 0.63/1.01 ( product(a8,a6) = a9 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.63/1.01 [weight('<11,0,0,[0,0,0,12]>')]).
% 0.63/1.01 cnf('0.12.2.0',plain,
% 0.63/1.01 ( product(a8,a6) = a9 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_12]).
% 0.63/1.01 cnf('0.13.0.0',axiom,
% 0.63/1.01 ( product(a1,a6) = a2 ),
% 0.63/1.01 file('/tmp/WALDMEISTER_1250_n029')).
% 0.63/1.01 cnf('0.13.1.0',plain,
% 0.63/1.01 ( product(a1,a6) = a2 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.63/1.01 [weight('<12,0,0,[0,0,0,13]>')]).
% 0.63/1.01 cnf('0.13.2.0',plain,
% 0.63/1.01 ( product(a1,a6) = a2 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_13]).
% 0.63/1.01 cnf('0.14.0.0',plain,
% 0.63/1.01 ( a6 = product(a7,a2) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.2.2.0','0.4.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.14.1.0',plain,
% 0.63/1.01 ( a6 = product(a7,a2) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.63/1.01 [weight('<19,4,2,[0,0,0,1]>')]).
% 0.63/1.01 cnf('0.14.2.0',plain,
% 0.63/1.01 ( product(a7,a2) = a6 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_14]).
% 0.63/1.01 cnf('0.15.0.0',plain,
% 0.63/1.01 ( a2 = product(a3,a7) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.2.2.0','0.5.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.15.1.0',plain,
% 0.63/1.01 ( a2 = product(a3,a7) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.63/1.01 [weight('<19,5,2,[0,0,0,1]>')]).
% 0.63/1.01 cnf('0.15.2.0',plain,
% 0.63/1.01 ( product(a3,a7) = a2 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_15]).
% 0.63/1.01 cnf('0.16.0.0',plain,
% 0.63/1.01 ( a7 = product(a8,a3) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.2.2.0','0.6.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.16.1.0',plain,
% 0.63/1.01 ( a7 = product(a8,a3) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.63/1.01 [weight('<19,6,2,[0,0,0,1]>')]).
% 0.63/1.01 cnf('0.16.2.0',plain,
% 0.63/1.01 ( product(a8,a3) = a7 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_16]).
% 0.63/1.01 cnf('0.18.0.0',plain,
% 0.63/1.01 ( a5 = product(a6,a9) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.2.2.0','0.8.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.18.1.0',plain,
% 0.63/1.01 ( a5 = product(a6,a9) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.63/1.01 [weight('<19,8,2,[0,0,0,1]>')]).
% 0.63/1.01 cnf('0.18.2.0',plain,
% 0.63/1.01 ( product(a6,a9) = a5 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_18]).
% 0.63/1.01 cnf('0.19.0.0',plain,
% 0.63/1.01 ( a4 = product(a5,a10) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.2.2.0','0.9.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.19.1.0',plain,
% 0.63/1.01 ( a4 = product(a5,a10) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.63/1.01 [weight('<19,9,2,[0,0,0,1]>')]).
% 0.63/1.01 cnf('0.19.2.0',plain,
% 0.63/1.01 ( product(a5,a10) = a4 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_19]).
% 0.63/1.01 cnf('0.21.0.0',plain,
% 0.63/1.01 ( a9 = product(a10,a4) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.2.2.0','0.11.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.21.1.0',plain,
% 0.63/1.01 ( a9 = product(a10,a4) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.21.0.0']),
% 0.63/1.01 [weight('<19,11,2,[0,0,0,1]>')]).
% 0.63/1.01 cnf('0.21.2.0',plain,
% 0.63/1.01 ( product(a10,a4) = a9 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_21]).
% 0.63/1.01 cnf('0.22.0.0',plain,
% 0.63/1.01 ( a8 = product(a9,a6) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.2.2.0','0.12.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.22.1.0',plain,
% 0.63/1.01 ( a8 = product(a9,a6) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.63/1.01 [weight('<19,12,2,[0,0,0,1]>')]).
% 0.63/1.01 cnf('0.22.2.0',plain,
% 0.63/1.01 ( product(a9,a6) = a8 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_22]).
% 0.63/1.01 cnf('0.23.0.0',plain,
% 0.63/1.01 ( a1 = product(a2,a6) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.2.2.0','0.13.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.23.1.0',plain,
% 0.63/1.01 ( a1 = product(a2,a6) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.63/1.01 [weight('<19,13,2,[0,0,0,1]>')]).
% 0.63/1.01 cnf('0.23.2.0',plain,
% 0.63/1.01 ( product(a2,a6) = a1 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_23]).
% 0.63/1.01 cnf('0.24.0.0',plain,
% 0.63/1.01 ( product(product(X1,X2),X1) = product(X1,product(X2,X1)) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.24.1.0',plain,
% 0.63/1.01 ( product(product(X1,X2),X1) = product(X1,product(X2,X1)) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.63/1.01 [weight('<65,3,1,[1,0,0,1]>')]).
% 0.63/1.01 cnf('0.24.2.0',plain,
% 0.63/1.01 ( product(product(X1,X2),X1) = product(X1,product(X2,X1)) ),
% 0.63/1.01 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_24]).
% 0.63/1.01 cnf('0.25.0.0',plain,
% 0.63/1.01 ( product(a2,product(a7,a2)) = product(a3,a2) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.24.2.0','0.5.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.25.0.1',plain,
% 0.63/1.01 ( product(a2,a6) = product(a3,a2) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.25.0.0','0.14.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.25.0.2',plain,
% 0.63/1.01 ( a1 = product(a3,a2) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.25.0.1','0.23.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.25.1.0',plain,
% 0.63/1.01 ( a1 = product(a3,a2) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.25.0.2']),
% 0.63/1.01 [weight('<19,24,5,[1,0,0,1]>')]).
% 0.63/1.01 cnf('0.25.2.0',plain,
% 0.63/1.01 ( product(a3,a2) = a1 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_25]).
% 0.63/1.01 cnf('0.26.0.0',plain,
% 0.63/1.01 ( product(a7,product(a3,a7)) = product(a8,a7) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.24.2.0','0.6.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.26.0.1',plain,
% 0.63/1.01 ( product(a7,a2) = product(a8,a7) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.26.0.0','0.15.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.26.0.2',plain,
% 0.63/1.01 ( a6 = product(a8,a7) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.26.0.1','0.14.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.26.1.0',plain,
% 0.63/1.01 ( a6 = product(a8,a7) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.26.0.2']),
% 0.63/1.01 [weight('<19,24,6,[1,0,0,1]>')]).
% 0.63/1.01 cnf('0.26.2.0',plain,
% 0.63/1.01 ( product(a8,a7) = a6 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_26]).
% 0.63/1.01 cnf('0.28.0.0',plain,
% 0.63/1.01 ( product(a7,product(a2,a7)) = product(a6,a7) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.24.2.0','0.14.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.28.0.1',plain,
% 0.63/1.01 ( product(a7,a3) = product(a6,a7) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.28.0.0','0.5.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.28.0.2',plain,
% 0.63/1.01 ( a8 = product(a6,a7) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.28.0.1','0.6.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.28.1.0',plain,
% 0.63/1.01 ( a8 = product(a6,a7) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.28.0.2']),
% 0.63/1.01 [weight('<19,24,14,[1,0,0,1]>')]).
% 0.63/1.01 cnf('0.28.2.0',plain,
% 0.63/1.01 ( product(a6,a7) = a8 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_28]).
% 0.63/1.01 cnf('0.29.0.0',plain,
% 0.63/1.01 ( product(a10,product(a4,a10)) = product(a9,a10) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.24.2.0','0.21.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.29.0.1',plain,
% 0.63/1.01 ( product(a10,a5) = product(a9,a10) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.29.0.0','0.9.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.29.0.2',plain,
% 0.63/1.01 ( a11 = product(a9,a10) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.29.0.1','0.10.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.29.1.0',plain,
% 0.63/1.01 ( a11 = product(a9,a10) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.29.0.2']),
% 0.63/1.01 [weight('<19,24,21,[1,0,0,1]>')]).
% 0.63/1.01 cnf('0.29.2.0',plain,
% 0.63/1.01 ( product(a9,a10) = a11 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_29]).
% 0.63/1.01 cnf('0.30.0.0',plain,
% 0.63/1.01 ( product(a2,product(a6,a2)) = product(a1,a2) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.24.2.0','0.23.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.30.0.1',plain,
% 0.63/1.01 ( product(a2,a7) = product(a1,a2) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.30.0.0','0.4.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.30.0.2',plain,
% 0.63/1.01 ( a3 = product(a1,a2) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.30.0.1','0.5.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.30.1.0',plain,
% 0.63/1.01 ( a3 = product(a1,a2) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.30.0.2']),
% 0.63/1.01 [weight('<19,24,23,[1,0,0,1]>')]).
% 0.63/1.01 cnf('0.30.2.0',plain,
% 0.63/1.01 ( product(a1,a2) = a3 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_30]).
% 0.63/1.01 cnf('0.33.0.0',plain,
% 0.63/1.01 ( product(a3,product(a7,a3)) = product(a2,a3) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.24.2.0','0.15.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.33.0.1',plain,
% 0.63/1.01 ( product(a3,a8) = product(a2,a3) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.33.0.0','0.6.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.33.1.0',plain,
% 0.63/1.01 ( product(a3,a8) = product(a2,a3) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.33.0.1']),
% 0.63/1.01 [weight('<27,24,15,[1,0,0,1]>')]).
% 0.63/1.01 cnf('0.33.2.0',plain,
% 0.63/1.01 ( product(a2,a3) = product(a3,a8) ),
% 0.63/1.01 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_33]).
% 0.63/1.01 cnf('0.36.0.0',plain,
% 0.63/1.01 ( product(a9,product(a6,a9)) = product(a8,a9) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.24.2.0','0.22.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.36.0.1',plain,
% 0.63/1.01 ( product(a9,a5) = product(a8,a9) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.36.0.0','0.18.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.36.1.0',plain,
% 0.63/1.01 ( product(a9,a5) = product(a8,a9) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.36.0.1']),
% 0.63/1.01 [weight('<27,24,22,[1,0,0,1]>')]).
% 0.63/1.01 cnf('0.36.2.0',plain,
% 0.63/1.01 ( product(a9,a5) = product(a8,a9) ),
% 0.63/1.01 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_36]).
% 0.63/1.01 cnf('0.37.0.0',plain,
% 0.63/1.01 ( product(a6,product(a7,a6)) = product(a8,a6) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.24.2.0','0.28.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.37.0.1',plain,
% 0.63/1.01 ( product(a6,product(a7,a6)) = a9 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.37.0.0','0.12.2.0',theory(equality)]),
% 0.63/1.01 [pos('R','L')]).
% 0.63/1.01 cnf('0.37.1.0',plain,
% 0.63/1.01 ( product(a6,product(a7,a6)) = a9 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.37.0.1']),
% 0.63/1.01 [weight('<41,28,24,[0,0,0,1]>')]).
% 0.63/1.01 cnf('0.37.2.0',plain,
% 0.63/1.01 ( product(a6,product(a7,a6)) = a9 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_37]).
% 0.63/1.01 cnf('0.38.0.0',plain,
% 0.63/1.01 ( product(a1,product(a2,a1)) = product(a3,a1) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.24.2.0','0.30.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.38.0.1',plain,
% 0.63/1.01 ( product(a1,product(a2,a1)) = a4 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.38.0.0','0.7.2.0',theory(equality)]),
% 0.63/1.01 [pos('R','L')]).
% 0.63/1.01 cnf('0.38.1.0',plain,
% 0.63/1.01 ( product(a1,product(a2,a1)) = a4 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.38.0.1']),
% 0.63/1.01 [weight('<41,30,24,[0,0,0,1]>')]).
% 0.63/1.01 cnf('0.38.2.0',plain,
% 0.63/1.01 ( product(a1,product(a2,a1)) = a4 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_38]).
% 0.63/1.01 cnf('0.42.0.0',plain,
% 0.63/1.01 ( a9 = product(product(a8,a9),a5) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.2.2.0','0.36.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.42.1.0',plain,
% 0.63/1.01 ( a9 = product(product(a8,a9),a5) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.42.0.0']),
% 0.63/1.01 [weight('<41,36,2,[0,0,0,1]>')]).
% 0.63/1.01 cnf('0.42.2.0',plain,
% 0.63/1.01 ( product(product(a8,a9),a5) = a9 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_42]).
% 0.63/1.01 cnf('0.44.0.0',plain,
% 0.63/1.01 ( a1 = product(a4,product(a2,a1)) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.2.2.0','0.38.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.44.1.0',plain,
% 0.63/1.01 ( a1 = product(a4,product(a2,a1)) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.44.0.0']),
% 0.63/1.01 [weight('<41,38,2,[0,0,0,1]>')]).
% 0.63/1.01 cnf('0.44.2.0',plain,
% 0.63/1.01 ( product(a4,product(a2,a1)) = a1 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_44]).
% 0.63/1.01 cnf('0.53.0.0',plain,
% 0.63/1.01 ( product(a3,product(a2,a3)) = product(a1,a3) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.24.2.0','0.25.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.53.1.0',plain,
% 0.63/1.01 ( product(a3,product(a2,a3)) = product(a1,a3) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.53.0.0']),
% 0.63/1.01 [weight('<53,25,24,[0,0,0,1]>')]).
% 0.63/1.01 cnf('0.53.1.1',plain,
% 0.63/1.01 ( product(a3,product(a3,a8)) = product(a1,a3) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.53.1.0','0.33.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.53.2.0',plain,
% 0.63/1.01 ( product(a3,product(a3,a8)) = product(a1,a3) ),
% 0.63/1.01 inference(orient,[status(thm)],['0.53.1.1',theory(equality)]),
% 0.63/1.01 [u,rule_53]).
% 0.63/1.01 cnf('0.58.0.0',plain,
% 0.63/1.01 ( product(product(a6,X1),a2) = product(a7,product(X1,a2)) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.3.2.0','0.4.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.58.1.0',plain,
% 0.63/1.01 ( product(product(a6,X1),a2) = product(a7,product(X1,a2)) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.58.0.0']),
% 0.63/1.01 [weight('<65,4,3,[0,0,0,1]>')]).
% 0.63/1.01 cnf('0.58.2.0',plain,
% 0.63/1.01 ( product(product(a6,X1),a2) = product(a7,product(X1,a2)) ),
% 0.63/1.01 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_58]).
% 0.63/1.01 cnf('0.60.0.0',plain,
% 0.63/1.01 ( product(a7,product(a7,a2)) = product(a8,a2) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.58.2.0','0.28.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.60.0.1',plain,
% 0.63/1.01 ( product(a7,a6) = product(a8,a2) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.60.0.0','0.14.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.60.1.0',plain,
% 0.63/1.01 ( product(a7,a6) = product(a8,a2) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.60.0.1']),
% 0.63/1.01 [weight('<27,58,28,[1,0,0,1]>')]).
% 0.63/1.01 cnf('0.60.2.0',plain,
% 0.63/1.01 ( product(a7,a6) = product(a8,a2) ),
% 0.63/1.01 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_60]).
% 0.63/1.01 cnf('0.62.0.0',plain,
% 0.63/1.01 ( product(a6,product(a7,a6)) = a9 ),
% 0.63/1.01 inference(interreduction_right,[status(thm)],['0.37.2.0'])).
% 0.63/1.01 cnf('0.62.0.1',plain,
% 0.63/1.01 ( product(a6,product(a8,a2)) = a9 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.62.0.0','0.60.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.62.1.0',plain,
% 0.63/1.01 ( product(a6,product(a8,a2)) = a9 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.62.0.1']),
% 0.63/1.01 [weight('<41,37,60,[0,0,0,0]>')]).
% 0.63/1.01 cnf('0.62.2.0',plain,
% 0.63/1.01 ( product(a6,product(a8,a2)) = a9 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_62]).
% 0.63/1.01 cnf('0.63.0.0',plain,
% 0.63/1.01 ( product(a7,product(product(a8,a2),a2)) = product(a9,a2) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.58.2.0','0.62.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.63.0.1',plain,
% 0.63/1.01 ( product(a7,a8) = product(a9,a2) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.63.0.0','0.2.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.63.1.0',plain,
% 0.63/1.01 ( product(a7,a8) = product(a9,a2) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.63.0.1']),
% 0.63/1.01 [weight('<27,62,58,[0,0,0,1]>')]).
% 0.63/1.01 cnf('0.63.2.0',plain,
% 0.63/1.01 ( product(a7,a8) = product(a9,a2) ),
% 0.63/1.01 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_63]).
% 0.63/1.01 cnf('0.72.0.0',plain,
% 0.63/1.01 ( product(a7,product(a6,a7)) = product(product(a8,a2),a7) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.24.2.0','0.60.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.72.0.1',plain,
% 0.63/1.01 ( product(a7,a8) = product(product(a8,a2),a7) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.72.0.0','0.28.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.72.1.0',plain,
% 0.63/1.01 ( product(a7,a8) = product(product(a8,a2),a7) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.72.0.1']),
% 0.63/1.01 [weight('<53,60,24,[0,0,0,1]>')]).
% 0.63/1.01 cnf('0.72.1.1',plain,
% 0.63/1.01 ( product(a9,a2) = product(product(a8,a2),a7) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.72.1.0','0.63.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.72.2.0',plain,
% 0.63/1.01 ( product(product(a8,a2),a7) = product(a9,a2) ),
% 0.63/1.01 inference(orient,[status(thm)],['0.72.1.1',theory(equality)]),
% 0.63/1.01 [x,rule_72]).
% 0.63/1.01 cnf('0.75.0.0',plain,
% 0.63/1.01 ( product(product(a2,X1),a7) = product(a3,product(X1,a7)) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.3.2.0','0.5.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.75.1.0',plain,
% 0.63/1.01 ( product(product(a2,X1),a7) = product(a3,product(X1,a7)) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.75.0.0']),
% 0.63/1.01 [weight('<65,5,3,[0,0,0,1]>')]).
% 0.63/1.01 cnf('0.75.2.0',plain,
% 0.63/1.01 ( product(product(a2,X1),a7) = product(a3,product(X1,a7)) ),
% 0.63/1.01 inference(orient,[status(thm)],['0.75.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_75]).
% 0.63/1.01 cnf('0.76.0.0',plain,
% 0.63/1.01 ( product(a3,product(a6,a7)) = product(a1,a7) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.75.2.0','0.23.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.76.0.1',plain,
% 0.63/1.01 ( product(a3,a8) = product(a1,a7) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.76.0.0','0.28.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.76.1.0',plain,
% 0.63/1.01 ( product(a3,a8) = product(a1,a7) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.76.0.1']),
% 0.63/1.01 [weight('<27,75,23,[1,0,0,1]>')]).
% 0.63/1.01 cnf('0.76.2.0',plain,
% 0.63/1.01 ( product(a3,a8) = product(a1,a7) ),
% 0.63/1.01 inference(orient,[status(thm)],['0.76.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_76]).
% 0.63/1.01 cnf('0.77.0.0',plain,
% 0.63/1.01 ( product(a2,a3) = product(a3,a8) ),
% 0.63/1.01 inference(interreduction_right,[status(thm)],['0.33.2.0'])).
% 0.63/1.01 cnf('0.77.0.1',plain,
% 0.63/1.01 ( product(a2,a3) = product(a1,a7) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.77.0.0','0.76.2.0',theory(equality)]),
% 0.63/1.01 [pos('R','L')]).
% 0.63/1.01 cnf('0.77.1.0',plain,
% 0.63/1.01 ( product(a2,a3) = product(a1,a7) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.77.0.1']),
% 0.63/1.01 [weight('<27,33,76,[0,0,0,0]>')]).
% 0.63/1.01 cnf('0.77.2.0',plain,
% 0.63/1.01 ( product(a2,a3) = product(a1,a7) ),
% 0.63/1.01 inference(orient,[status(thm)],['0.77.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_77]).
% 0.63/1.01 cnf('0.78.0.0',plain,
% 0.63/1.01 ( a3 = product(product(a1,a7),a8) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.2.2.0','0.76.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.78.1.0',plain,
% 0.63/1.01 ( a3 = product(product(a1,a7),a8) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.78.0.0']),
% 0.63/1.01 [weight('<41,76,2,[0,0,0,1]>')]).
% 0.63/1.01 cnf('0.78.2.0',plain,
% 0.63/1.01 ( product(product(a1,a7),a8) = a3 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.78.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_78]).
% 0.63/1.01 cnf('0.79.0.0',plain,
% 0.63/1.01 ( product(a3,product(a8,a3)) = product(product(a1,a7),a3) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.24.2.0','0.76.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.79.0.1',plain,
% 0.63/1.01 ( product(a3,a7) = product(product(a1,a7),a3) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.79.0.0','0.16.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.79.0.2',plain,
% 0.63/1.01 ( a2 = product(product(a1,a7),a3) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.79.0.1','0.15.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.79.1.0',plain,
% 0.63/1.01 ( a2 = product(product(a1,a7),a3) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.79.0.2']),
% 0.63/1.01 [weight('<41,76,24,[0,0,0,1]>')]).
% 0.63/1.01 cnf('0.79.2.0',plain,
% 0.63/1.01 ( product(product(a1,a7),a3) = a2 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.79.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_79]).
% 0.63/1.01 cnf('0.80.0.0',plain,
% 0.63/1.01 ( product(a3,product(a3,a8)) = product(a1,a3) ),
% 0.63/1.01 inference(interreduction_right,[status(thm)],['0.53.2.0'])).
% 0.63/1.01 cnf('0.80.0.1',plain,
% 0.63/1.01 ( product(a3,product(a1,a7)) = product(a1,a3) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.80.0.0','0.76.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.80.1.0',plain,
% 0.63/1.01 ( product(a3,product(a1,a7)) = product(a1,a3) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.80.0.1']),
% 0.63/1.01 [weight('<53,53,76,[0,0,0,0]>')]).
% 0.63/1.01 cnf('0.80.2.0',plain,
% 0.63/1.01 ( product(a3,product(a1,a7)) = product(a1,a3) ),
% 0.63/1.01 inference(orient,[status(thm)],['0.80.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_80]).
% 0.63/1.01 cnf('0.83.0.0',plain,
% 0.63/1.01 ( product(product(X1,a2),a7) = product(product(X1,a7),a3) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.3.2.0','0.5.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.83.1.0',plain,
% 0.63/1.01 ( product(product(X1,a2),a7) = product(product(X1,a7),a3) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.83.0.0']),
% 0.63/1.01 [weight('<65,5,3,[0,0,0,4]>')]).
% 0.63/1.01 cnf('0.83.2.0',plain,
% 0.63/1.01 ( product(product(X1,a2),a7) = product(product(X1,a7),a3) ),
% 0.63/1.01 inference(orient,[status(thm)],['0.83.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_83]).
% 0.63/1.01 cnf('0.84.0.0',plain,
% 0.63/1.01 ( product(product(a8,a2),a7) = product(a9,a2) ),
% 0.63/1.01 inference(interreduction_right,[status(thm)],['0.72.2.0'])).
% 0.63/1.01 cnf('0.84.0.1',plain,
% 0.63/1.01 ( product(product(a8,a7),a3) = product(a9,a2) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.84.0.0','0.83.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.84.0.2',plain,
% 0.63/1.01 ( product(a6,a3) = product(a9,a2) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.84.0.1','0.26.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.84.1.0',plain,
% 0.63/1.01 ( product(a6,a3) = product(a9,a2) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.84.0.2']),
% 0.63/1.01 [weight('<27,72,83,[0,0,0,0]>')]).
% 0.63/1.01 cnf('0.84.2.0',plain,
% 0.63/1.01 ( product(a6,a3) = product(a9,a2) ),
% 0.63/1.01 inference(orient,[status(thm)],['0.84.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_84]).
% 0.63/1.01 cnf('0.85.0.0',plain,
% 0.63/1.01 ( product(a7,product(a3,a2)) = product(product(a9,a2),a2) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.58.2.0','0.84.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.85.0.1',plain,
% 0.63/1.01 ( product(a7,a1) = product(product(a9,a2),a2) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.85.0.0','0.25.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.85.0.2',plain,
% 0.63/1.01 ( product(a7,a1) = a9 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.85.0.1','0.2.2.0',theory(equality)]),
% 0.63/1.01 [pos('R','L')]).
% 0.63/1.01 cnf('0.85.1.0',plain,
% 0.63/1.01 ( product(a7,a1) = a9 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.85.0.2']),
% 0.63/1.01 [weight('<19,84,58,[0,0,0,1]>')]).
% 0.63/1.01 cnf('0.85.2.0',plain,
% 0.63/1.01 ( product(a7,a1) = a9 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.85.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_85]).
% 0.63/1.01 cnf('0.86.0.0',plain,
% 0.63/1.01 ( a7 = product(a9,a1) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.2.2.0','0.85.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.86.1.0',plain,
% 0.63/1.01 ( a7 = product(a9,a1) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.86.0.0']),
% 0.63/1.01 [weight('<19,85,2,[0,0,0,1]>')]).
% 0.63/1.01 cnf('0.86.2.0',plain,
% 0.63/1.01 ( product(a9,a1) = a7 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.86.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_86]).
% 0.63/1.01 cnf('0.110.0.0',plain,
% 0.63/1.01 ( product(product(X1,product(X2,X3)),X3) = product(product(X1,X3),X2) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.3.2.0','0.2.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.110.1.0',plain,
% 0.63/1.01 ( product(product(X1,product(X2,X3)),X3) = product(product(X1,X3),X2) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.110.0.0']),
% 0.63/1.01 [weight('<?,3,2,[1,0,0,4]>')]).
% 0.63/1.01 cnf('0.110.2.0',plain,
% 0.63/1.01 ( product(product(X1,product(X2,X3)),X3) = product(product(X1,X3),X2) ),
% 0.63/1.01 inference(orient,[status(thm)],['0.110.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_110]).
% 0.63/1.01 cnf('0.124.0.0',plain,
% 0.63/1.01 ( product(product(a3,a7),a1) = product(product(a1,a3),a7) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.110.2.0','0.80.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.124.0.1',plain,
% 0.63/1.01 ( product(a2,a1) = product(product(a1,a3),a7) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.124.0.0','0.15.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.124.1.0',plain,
% 0.63/1.01 ( product(a2,a1) = product(product(a1,a3),a7) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.124.0.1']),
% 0.63/1.01 [weight('<53,110,80,[1,0,0,1]>')]).
% 0.63/1.01 cnf('0.124.2.0',plain,
% 0.63/1.01 ( product(product(a1,a3),a7) = product(a2,a1) ),
% 0.63/1.01 inference(orient,[status(thm)],['0.124.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_124]).
% 0.63/1.01 cnf('0.139.0.0',plain,
% 0.63/1.01 ( product(product(X1,a7),a3) = product(product(X1,a3),a8) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.3.2.0','0.6.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.139.1.0',plain,
% 0.63/1.01 ( product(product(X1,a7),a3) = product(product(X1,a3),a8) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.139.0.0']),
% 0.63/1.01 [weight('<65,6,3,[0,0,0,4]>')]).
% 0.63/1.01 cnf('0.139.2.0',plain,
% 0.63/1.01 ( product(product(X1,a7),a3) = product(product(X1,a3),a8) ),
% 0.63/1.01 inference(orient,[status(thm)],['0.139.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_139]).
% 0.63/1.01 cnf('0.140.0.0',plain,
% 0.63/1.01 ( product(product(a1,a7),a3) = a2 ),
% 0.63/1.01 inference(interreduction_right,[status(thm)],['0.79.2.0'])).
% 0.63/1.01 cnf('0.140.0.1',plain,
% 0.63/1.01 ( product(product(a1,a3),a8) = a2 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.140.0.0','0.139.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.140.1.0',plain,
% 0.63/1.01 ( product(product(a1,a3),a8) = a2 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.140.0.1']),
% 0.63/1.01 [weight('<41,79,139,[0,0,0,0]>')]).
% 0.63/1.01 cnf('0.140.2.0',plain,
% 0.63/1.01 ( product(product(a1,a3),a8) = a2 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.140.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_140]).
% 0.63/1.01 cnf('0.141.0.0',plain,
% 0.63/1.01 ( product(a1,a3) = product(a2,a8) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.2.2.0','0.140.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.141.1.0',plain,
% 0.63/1.01 ( product(a1,a3) = product(a2,a8) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.141.0.0']),
% 0.63/1.01 [weight('<27,140,2,[0,0,0,1]>')]).
% 0.63/1.01 cnf('0.141.2.0',plain,
% 0.63/1.01 ( product(a2,a8) = product(a1,a3) ),
% 0.63/1.01 inference(orient,[status(thm)],['0.141.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_141]).
% 0.63/1.01 cnf('0.142.0.0',plain,
% 0.63/1.01 ( product(a3,product(a8,a7)) = product(product(a1,a3),a7) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.75.2.0','0.141.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.142.0.1',plain,
% 0.63/1.01 ( product(a3,a6) = product(product(a1,a3),a7) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.142.0.0','0.26.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.142.0.2',plain,
% 0.63/1.01 ( product(a3,a6) = product(a2,a1) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.142.0.1','0.124.2.0',theory(equality)]),
% 0.63/1.01 [pos('R','L')]).
% 0.63/1.01 cnf('0.142.1.0',plain,
% 0.63/1.01 ( product(a3,a6) = product(a2,a1) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.142.0.2']),
% 0.63/1.01 [weight('<27,141,75,[0,0,0,1]>')]).
% 0.63/1.01 cnf('0.142.2.0',plain,
% 0.63/1.01 ( product(a2,a1) = product(a3,a6) ),
% 0.63/1.01 inference(orient,[status(thm)],['0.142.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_142]).
% 0.63/1.01 cnf('0.143.0.0',plain,
% 0.63/1.01 ( product(a1,product(a2,a1)) = a4 ),
% 0.63/1.01 inference(interreduction_right,[status(thm)],['0.38.2.0'])).
% 0.63/1.01 cnf('0.143.0.1',plain,
% 0.63/1.01 ( product(a1,product(a3,a6)) = a4 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.143.0.0','0.142.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.143.1.0',plain,
% 0.63/1.01 ( product(a1,product(a3,a6)) = a4 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.143.0.1']),
% 0.63/1.01 [weight('<41,38,142,[0,0,0,0]>')]).
% 0.63/1.01 cnf('0.143.2.0',plain,
% 0.63/1.01 ( product(a1,product(a3,a6)) = a4 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.143.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_143]).
% 0.63/1.01 cnf('0.144.0.0',plain,
% 0.63/1.01 ( product(product(a1,a6),a3) = product(a4,a6) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.110.2.0','0.143.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.144.0.1',plain,
% 0.63/1.01 ( product(a2,a3) = product(a4,a6) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.144.0.0','0.13.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.144.0.2',plain,
% 0.63/1.01 ( product(a1,a7) = product(a4,a6) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.144.0.1','0.77.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.144.1.0',plain,
% 0.63/1.01 ( product(a1,a7) = product(a4,a6) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.144.0.2']),
% 0.63/1.01 [weight('<27,143,110,[0,0,0,1]>')]).
% 0.63/1.01 cnf('0.144.2.0',plain,
% 0.63/1.01 ( product(a4,a6) = product(a1,a7) ),
% 0.63/1.01 inference(orient,[status(thm)],['0.144.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_144]).
% 0.63/1.01 cnf('0.145.0.0',plain,
% 0.63/1.01 ( product(a4,product(a2,a1)) = a1 ),
% 0.63/1.01 inference(interreduction_right,[status(thm)],['0.44.2.0'])).
% 0.63/1.01 cnf('0.145.0.1',plain,
% 0.63/1.01 ( product(a4,product(a3,a6)) = a1 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.145.0.0','0.142.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.145.1.0',plain,
% 0.63/1.01 ( product(a4,product(a3,a6)) = a1 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.145.0.1']),
% 0.63/1.01 [weight('<41,44,142,[0,0,0,0]>')]).
% 0.63/1.01 cnf('0.145.2.0',plain,
% 0.63/1.01 ( product(a4,product(a3,a6)) = a1 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.145.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_145]).
% 0.63/1.01 cnf('0.147.0.0',plain,
% 0.63/1.01 ( a4 = product(product(a1,a7),a6) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.2.2.0','0.144.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.147.1.0',plain,
% 0.63/1.01 ( a4 = product(product(a1,a7),a6) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.147.0.0']),
% 0.63/1.01 [weight('<41,144,2,[0,0,0,1]>')]).
% 0.63/1.01 cnf('0.147.2.0',plain,
% 0.63/1.01 ( product(product(a1,a7),a6) = a4 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.147.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_147]).
% 0.63/1.01 cnf('0.171.0.0',plain,
% 0.63/1.01 ( product(product(a3,X1),a1) = product(a4,product(X1,a1)) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.3.2.0','0.7.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.171.1.0',plain,
% 0.63/1.01 ( product(product(a3,X1),a1) = product(a4,product(X1,a1)) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.171.0.0']),
% 0.63/1.01 [weight('<65,7,3,[0,0,0,1]>')]).
% 0.63/1.01 cnf('0.171.2.0',plain,
% 0.63/1.01 ( product(product(a3,X1),a1) = product(a4,product(X1,a1)) ),
% 0.63/1.01 inference(orient,[status(thm)],['0.171.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_171]).
% 0.63/1.01 cnf('0.172.0.0',plain,
% 0.63/1.01 ( product(a4,product(a7,a1)) = product(a2,a1) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.171.2.0','0.15.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.172.0.1',plain,
% 0.63/1.01 ( product(a4,a9) = product(a2,a1) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.172.0.0','0.85.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.172.0.2',plain,
% 0.63/1.01 ( product(a4,a9) = product(a3,a6) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.172.0.1','0.142.2.0',theory(equality)]),
% 0.63/1.01 [pos('R','L')]).
% 0.63/1.01 cnf('0.172.1.0',plain,
% 0.63/1.01 ( product(a4,a9) = product(a3,a6) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.172.0.2']),
% 0.63/1.01 [weight('<27,171,15,[1,0,0,1]>')]).
% 0.63/1.01 cnf('0.172.2.0',plain,
% 0.63/1.01 ( product(a3,a6) = product(a4,a9) ),
% 0.63/1.01 inference(orient,[status(thm)],['0.172.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_172]).
% 0.63/1.01 cnf('0.175.0.0',plain,
% 0.63/1.01 ( product(a4,product(a3,a6)) = a1 ),
% 0.63/1.01 inference(interreduction_right,[status(thm)],['0.145.2.0'])).
% 0.63/1.01 cnf('0.175.0.1',plain,
% 0.63/1.01 ( product(a4,product(a4,a9)) = a1 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.175.0.0','0.172.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.175.1.0',plain,
% 0.63/1.01 ( product(a4,product(a4,a9)) = a1 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.175.0.1']),
% 0.63/1.01 [weight('<41,145,172,[0,0,0,0]>')]).
% 0.63/1.01 cnf('0.175.2.0',plain,
% 0.63/1.01 ( product(a4,product(a4,a9)) = a1 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.175.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_175]).
% 0.63/1.01 cnf('0.176.0.0',plain,
% 0.63/1.01 ( product(product(a4,a9),a4) = product(a1,a9) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.110.2.0','0.175.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.176.0.1',plain,
% 0.63/1.01 ( product(a4,product(a9,a4)) = product(a1,a9) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.176.0.0','0.24.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.176.0.2',plain,
% 0.63/1.01 ( product(a4,a10) = product(a1,a9) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.176.0.1','0.11.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.176.0.3',plain,
% 0.63/1.01 ( a5 = product(a1,a9) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.176.0.2','0.9.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.176.1.0',plain,
% 0.63/1.01 ( a5 = product(a1,a9) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.176.0.3']),
% 0.63/1.01 [weight('<19,175,110,[0,0,0,1]>')]).
% 0.63/1.01 cnf('0.176.2.0',plain,
% 0.63/1.01 ( product(a1,a9) = a5 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.176.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_176]).
% 0.63/1.01 cnf('0.177.0.0',plain,
% 0.63/1.01 ( a1 = product(a5,a9) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.2.2.0','0.176.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.177.0.1',plain,
% 0.63/1.01 ( a1 = a6 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.177.0.0','0.8.2.0',theory(equality)]),
% 0.63/1.01 [pos('R','L')]).
% 0.63/1.01 cnf('0.177.1.0',plain,
% 0.63/1.01 ( a1 = a6 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.177.0.1']),
% 0.63/1.01 [weight('<5,176,2,[0,0,0,1]>')]).
% 0.63/1.01 cnf('0.177.2.0',plain,
% 0.63/1.01 ( a6 = a1 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.177.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_177]).
% 0.63/1.01 cnf('0.178.0.0',plain,
% 0.63/1.01 ( product(a6,a2) = a7 ),
% 0.63/1.01 inference(interreduction_right,[status(thm)],['0.4.2.0'])).
% 0.63/1.01 cnf('0.178.0.1',plain,
% 0.63/1.01 ( product(a1,a2) = a7 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.178.0.0','0.177.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.178.0.2',plain,
% 0.63/1.01 ( a3 = a7 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.178.0.1','0.30.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.178.1.0',plain,
% 0.63/1.01 ( a3 = a7 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.178.0.2']),
% 0.63/1.01 [weight('<5,4,177,[0,0,0,0]>')]).
% 0.63/1.01 cnf('0.178.2.0',plain,
% 0.63/1.01 ( a7 = a3 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.178.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_178]).
% 0.63/1.01 cnf('0.179.0.0',plain,
% 0.63/1.01 ( product(a7,a3) = a8 ),
% 0.63/1.01 inference(interreduction_right,[status(thm)],['0.6.2.0'])).
% 0.63/1.01 cnf('0.179.0.1',plain,
% 0.63/1.01 ( product(a3,a3) = a8 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.179.0.0','0.178.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.179.0.2',plain,
% 0.63/1.01 ( a3 = a8 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.179.0.1','0.1.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.179.1.0',plain,
% 0.63/1.01 ( a3 = a8 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.179.0.2']),
% 0.63/1.01 [weight('<5,6,178,[0,0,0,0]>')]).
% 0.63/1.01 cnf('0.179.2.0',plain,
% 0.63/1.01 ( a3 = a8 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.179.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_179]).
% 0.63/1.01 cnf('0.180.0.0',plain,
% 0.63/1.01 ( product(a1,a6) = a2 ),
% 0.63/1.01 inference(interreduction_right,[status(thm)],['0.13.2.0'])).
% 0.63/1.01 cnf('0.180.0.1',plain,
% 0.63/1.01 ( product(a1,a1) = a2 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.180.0.0','0.177.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.180.0.2',plain,
% 0.63/1.01 ( a1 = a2 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.180.0.1','0.1.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.180.1.0',plain,
% 0.63/1.01 ( a1 = a2 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.180.0.2']),
% 0.63/1.01 [weight('<5,13,177,[0,0,0,0]>')]).
% 0.63/1.01 cnf('0.180.2.0',plain,
% 0.63/1.01 ( a2 = a1 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.180.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_180]).
% 0.63/1.01 cnf('0.181.0.0',plain,
% 0.63/1.01 ( product(a3,a7) = a2 ),
% 0.63/1.01 inference(interreduction_right,[status(thm)],['0.15.2.0'])).
% 0.63/1.01 cnf('0.181.0.1',plain,
% 0.63/1.01 ( product(a3,a3) = a2 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.181.0.0','0.178.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.181.0.2',plain,
% 0.63/1.01 ( a3 = a2 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.181.0.1','0.1.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.181.1.0',plain,
% 0.63/1.01 ( a3 = a2 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.181.0.2']),
% 0.63/1.01 [weight('<5,15,178,[0,0,0,0]>')]).
% 0.63/1.01 cnf('0.181.1.1',plain,
% 0.63/1.01 ( a8 = a2 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.181.1.0','0.179.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.181.1.2',plain,
% 0.63/1.01 ( a8 = a1 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.181.1.1','0.180.2.0',theory(equality)]),
% 0.63/1.01 [pos('R','L')]).
% 0.63/1.01 cnf('0.181.2.0',plain,
% 0.63/1.01 ( a8 = a1 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.181.1.2',theory(equality)]),
% 0.63/1.01 [u,rule_181]).
% 0.63/1.01 cnf('0.182.0.0',plain,
% 0.63/1.01 ( product(a9,a6) = a8 ),
% 0.63/1.01 inference(interreduction_right,[status(thm)],['0.22.2.0'])).
% 0.63/1.01 cnf('0.182.0.1',plain,
% 0.63/1.01 ( product(a9,a1) = a8 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.182.0.0','0.177.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.182.0.2',plain,
% 0.63/1.01 ( a7 = a8 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.182.0.1','0.86.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.182.1.0',plain,
% 0.63/1.01 ( a7 = a8 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.182.0.2']),
% 0.63/1.01 [weight('<5,22,177,[0,0,0,0]>')]).
% 0.63/1.01 cnf('0.182.1.1',plain,
% 0.63/1.01 ( a7 = a1 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.182.1.0','0.181.2.0',theory(equality)]),
% 0.63/1.01 [pos('R','L')]).
% 0.63/1.01 cnf('0.182.2.0',plain,
% 0.63/1.01 ( a7 = a1 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.182.1.1',theory(equality)]),
% 0.63/1.01 [u,rule_182]).
% 0.63/1.01 cnf('0.183.0.0',plain,
% 0.63/1.01 ( product(product(a8,a9),a5) = a9 ),
% 0.63/1.01 inference(interreduction_right,[status(thm)],['0.42.2.0'])).
% 0.63/1.01 cnf('0.183.0.1',plain,
% 0.63/1.01 ( product(product(a1,a9),a5) = a9 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.183.0.0','0.181.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1.1','L')]).
% 0.63/1.01 cnf('0.183.0.2',plain,
% 0.63/1.01 ( product(a5,a5) = a9 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.183.0.1','0.176.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.183.0.3',plain,
% 0.63/1.01 ( a5 = a9 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.183.0.2','0.1.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.183.1.0',plain,
% 0.63/1.01 ( a5 = a9 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.183.0.3']),
% 0.63/1.01 [weight('<5,42,181,[0,0,0,0]>')]).
% 0.63/1.01 cnf('0.183.2.0',plain,
% 0.63/1.01 ( a5 = a9 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.183.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_183]).
% 0.63/1.01 cnf('0.184.0.0',plain,
% 0.63/1.01 ( product(a5,a10) = a4 ),
% 0.63/1.01 inference(interreduction_right,[status(thm)],['0.19.2.0'])).
% 0.63/1.01 cnf('0.184.0.1',plain,
% 0.63/1.01 ( product(a9,a10) = a4 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.184.0.0','0.183.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.184.0.2',plain,
% 0.63/1.01 ( a11 = a4 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.184.0.1','0.29.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.184.1.0',plain,
% 0.63/1.01 ( a11 = a4 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.184.0.2']),
% 0.63/1.01 [weight('<5,19,183,[0,0,0,0]>')]).
% 0.63/1.01 cnf('0.184.2.0',plain,
% 0.63/1.01 ( a4 = a11 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.184.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_184]).
% 0.63/1.01 cnf('0.185.0.0',plain,
% 0.63/1.01 ( product(product(a1,a7),a8) = a3 ),
% 0.63/1.01 inference(interreduction_right,[status(thm)],['0.78.2.0'])).
% 0.63/1.01 cnf('0.185.0.1',plain,
% 0.63/1.01 ( product(product(a1,a3),a8) = a3 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.185.0.0','0.178.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1.2','L')]).
% 0.63/1.01 cnf('0.185.0.2',plain,
% 0.63/1.01 ( a2 = a3 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.185.0.1','0.140.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.185.1.0',plain,
% 0.63/1.01 ( a2 = a3 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.185.0.2']),
% 0.63/1.01 [weight('<5,78,178,[0,0,0,0]>')]).
% 0.63/1.01 cnf('0.185.1.1',plain,
% 0.63/1.01 ( a1 = a3 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.185.1.0','0.180.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.185.2.0',plain,
% 0.63/1.01 ( a3 = a1 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.185.1.1',theory(equality)]),
% 0.63/1.01 [x,rule_185]).
% 0.63/1.01 cnf('0.186.0.0',plain,
% 0.63/1.01 ( product(a7,a1) = a9 ),
% 0.63/1.01 inference(interreduction_right,[status(thm)],['0.85.2.0'])).
% 0.63/1.01 cnf('0.186.0.1',plain,
% 0.63/1.01 ( product(a3,a1) = a9 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.186.0.0','0.178.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.186.0.2',plain,
% 0.63/1.01 ( a4 = a9 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.186.0.1','0.7.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.186.1.0',plain,
% 0.63/1.01 ( a4 = a9 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.186.0.2']),
% 0.63/1.01 [weight('<5,85,178,[0,0,0,0]>')]).
% 0.63/1.01 cnf('0.186.1.1',plain,
% 0.63/1.01 ( a11 = a9 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.186.1.0','0.184.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.186.2.0',plain,
% 0.63/1.01 ( a9 = a11 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.186.1.1',theory(equality)]),
% 0.63/1.01 [x,rule_186]).
% 0.63/1.01 cnf('0.187.0.0',plain,
% 0.63/1.01 ( product(product(a1,a7),a6) = a4 ),
% 0.63/1.01 inference(interreduction_right,[status(thm)],['0.147.2.0'])).
% 0.63/1.01 cnf('0.187.0.1',plain,
% 0.63/1.01 ( product(product(a1,a7),a1) = a4 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.187.0.0','0.177.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.187.0.2',plain,
% 0.63/1.01 ( product(a1,product(a7,a1)) = a4 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.187.0.1','0.24.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.187.0.3',plain,
% 0.63/1.01 ( product(a1,a9) = a4 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.187.0.2','0.85.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.187.0.4',plain,
% 0.63/1.01 ( a5 = a4 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.187.0.3','0.176.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.187.1.0',plain,
% 0.63/1.01 ( a5 = a4 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.187.0.4']),
% 0.63/1.01 [weight('<5,147,177,[0,0,0,0]>')]).
% 0.63/1.01 cnf('0.187.1.1',plain,
% 0.63/1.01 ( a5 = a11 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.187.1.0','0.184.2.0',theory(equality)]),
% 0.63/1.01 [pos('R','L')]).
% 0.63/1.01 cnf('0.187.2.0',plain,
% 0.63/1.01 ( a5 = a11 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.187.1.1',theory(equality)]),
% 0.63/1.01 [u,rule_187]).
% 0.63/1.01 cnf('0.188.0.0',plain,
% 0.63/1.01 ( product(a3,a1) = a4 ),
% 0.63/1.01 inference(interreduction_right,[status(thm)],['0.7.2.0'])).
% 0.63/1.01 cnf('0.188.0.1',plain,
% 0.63/1.01 ( product(a8,a1) = a4 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.188.0.0','0.179.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.188.1.0',plain,
% 0.63/1.01 ( product(a8,a1) = a4 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.188.0.1']),
% 0.63/1.01 [weight('<19,7,179,[0,0,0,0]>')]).
% 0.63/1.01 cnf('0.188.1.1',plain,
% 0.63/1.01 ( product(a1,a1) = a4 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.188.1.0','0.181.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.188.1.2',plain,
% 0.63/1.01 ( a1 = a4 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.188.1.1','0.1.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.188.1.3',plain,
% 0.63/1.01 ( a1 = a11 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.188.1.2','0.184.2.0',theory(equality)]),
% 0.63/1.01 [pos('R','L')]).
% 0.63/1.01 cnf('0.188.2.0',plain,
% 0.63/1.01 ( a1 = a11 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.188.1.3',theory(equality)]),
% 0.63/1.01 [u,rule_188]).
% 0.63/1.01 cnf('0.189.0.0',plain,
% 0.63/1.01 ( a6 = a1 ),
% 0.63/1.01 inference(interreduction_right,[status(thm)],['0.177.2.0'])).
% 0.63/1.01 cnf('0.189.0.1',plain,
% 0.63/1.01 ( a6 = a11 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.189.0.0','0.188.2.0',theory(equality)]),
% 0.63/1.01 [pos('R','L')]).
% 0.63/1.01 cnf('0.189.1.0',plain,
% 0.63/1.01 ( a6 = a11 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.189.0.1']),
% 0.63/1.01 [weight('<5,177,188,[0,0,0,0]>')]).
% 0.63/1.01 cnf('0.189.2.0',plain,
% 0.63/1.01 ( a6 = a11 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.189.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_189]).
% 0.63/1.01 cnf('0.190.0.0',plain,
% 0.63/1.01 ( a2 = a1 ),
% 0.63/1.01 inference(interreduction_right,[status(thm)],['0.180.2.0'])).
% 0.63/1.01 cnf('0.190.0.1',plain,
% 0.63/1.01 ( a2 = a11 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.190.0.0','0.188.2.0',theory(equality)]),
% 0.63/1.01 [pos('R','L')]).
% 0.63/1.01 cnf('0.190.1.0',plain,
% 0.63/1.01 ( a2 = a11 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.190.0.1']),
% 0.63/1.01 [weight('<5,180,188,[0,0,0,0]>')]).
% 0.63/1.01 cnf('0.190.2.0',plain,
% 0.63/1.01 ( a2 = a11 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.190.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_190]).
% 0.63/1.01 cnf('0.191.0.0',plain,
% 0.63/1.01 ( a8 = a1 ),
% 0.63/1.01 inference(interreduction_right,[status(thm)],['0.181.2.0'])).
% 0.63/1.01 cnf('0.191.0.1',plain,
% 0.63/1.01 ( a8 = a11 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.191.0.0','0.188.2.0',theory(equality)]),
% 0.63/1.01 [pos('R','L')]).
% 0.63/1.01 cnf('0.191.1.0',plain,
% 0.63/1.01 ( a8 = a11 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.191.0.1']),
% 0.63/1.01 [weight('<5,181,188,[0,0,0,0]>')]).
% 0.63/1.01 cnf('0.191.2.0',plain,
% 0.63/1.01 ( a8 = a11 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.191.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_191]).
% 0.63/1.01 cnf('0.192.0.0',plain,
% 0.63/1.01 ( a7 = a1 ),
% 0.63/1.01 inference(interreduction_right,[status(thm)],['0.182.2.0'])).
% 0.63/1.01 cnf('0.192.0.1',plain,
% 0.63/1.01 ( a7 = a11 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.192.0.0','0.188.2.0',theory(equality)]),
% 0.63/1.01 [pos('R','L')]).
% 0.63/1.01 cnf('0.192.1.0',plain,
% 0.63/1.01 ( a7 = a11 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.192.0.1']),
% 0.63/1.01 [weight('<5,182,188,[0,0,0,0]>')]).
% 0.63/1.01 cnf('0.192.2.0',plain,
% 0.63/1.01 ( a7 = a11 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.192.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_192]).
% 0.63/1.01 cnf('0.193.0.0',plain,
% 0.63/1.01 ( a3 = a1 ),
% 0.63/1.01 inference(interreduction_right,[status(thm)],['0.185.2.0'])).
% 0.63/1.01 cnf('0.193.0.1',plain,
% 0.63/1.01 ( a3 = a11 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.193.0.0','0.188.2.0',theory(equality)]),
% 0.63/1.01 [pos('R','L')]).
% 0.63/1.01 cnf('0.193.1.0',plain,
% 0.63/1.01 ( a3 = a11 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.193.0.1']),
% 0.63/1.01 [weight('<5,185,188,[0,0,0,0]>')]).
% 0.63/1.01 cnf('0.193.2.0',plain,
% 0.63/1.01 ( a3 = a11 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.193.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_193]).
% 0.63/1.01 cnf('0.195.0.0',plain,
% 0.63/1.01 ( product(a10,a5) = a11 ),
% 0.63/1.01 inference(interreduction_right,[status(thm)],['0.10.2.0'])).
% 0.63/1.01 cnf('0.195.0.1',plain,
% 0.63/1.01 ( product(a10,a9) = a11 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.195.0.0','0.183.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.195.1.0',plain,
% 0.63/1.01 ( product(a10,a9) = a11 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.195.0.1']),
% 0.63/1.01 [weight('<19,10,183,[0,0,0,0]>')]).
% 0.63/1.01 cnf('0.195.1.1',plain,
% 0.63/1.01 ( product(a10,a11) = a11 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.195.1.0','0.186.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.195.2.0',plain,
% 0.63/1.01 ( product(a10,a11) = a11 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.195.1.1',theory(equality)]),
% 0.63/1.01 [u,rule_195]).
% 0.63/1.01 cnf('0.196.0.0',plain,
% 0.63/1.01 ( a10 = product(a11,a11) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.2.2.0','0.195.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.196.0.1',plain,
% 0.63/1.01 ( a10 = a11 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.196.0.0','0.1.2.0',theory(equality)]),
% 0.63/1.01 [pos('R','L')]).
% 0.63/1.01 cnf('0.196.1.0',plain,
% 0.63/1.01 ( a10 = a11 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.196.0.1']),
% 0.63/1.01 [weight('<5,195,2,[0,0,0,1]>')]).
% 0.63/1.01 cnf('0.196.2.0',plain,
% 0.63/1.01 ( a10 = a11 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.196.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_196]).
% 0.63/1.01 cnf('1.0.0.0',conjecture,
% 0.63/1.01 ( tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9) = tuple(a1,a6,a5,a2,a7,a3,a4,a9,a10,a8) ),
% 0.63/1.01 file('/tmp/WALDMEISTER_1250_n029',conjecture_1)).
% 0.63/1.01 cnf('1.0.0.1',plain,
% 0.63/1.01 ( tuple(a11,a7,a6,a3,a8,a4,a5,a10,a11,a9) = tuple(a1,a6,a5,a2,a7,a3,a4,a9,a10,a8) ),
% 0.63/1.01 inference(reduction,[status(thm)],['1.0.0.0','0.190.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('1.0.0.2',plain,
% 0.63/1.01 ( tuple(a11,a11,a6,a3,a8,a4,a5,a10,a11,a9) = tuple(a1,a6,a5,a2,a7,a3,a4,a9,a10,a8) ),
% 0.63/1.01 inference(reduction,[status(thm)],['1.0.0.1','0.192.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('1.0.0.3',plain,
% 0.63/1.01 ( tuple(a11,a11,a11,a3,a8,a4,a5,a10,a11,a9) = tuple(a1,a6,a5,a2,a7,a3,a4,a9,a10,a8) ),
% 0.63/1.01 inference(reduction,[status(thm)],['1.0.0.2','0.189.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.3','L')]).
% 0.63/1.01 cnf('1.0.0.4',plain,
% 0.63/1.01 ( tuple(a11,a11,a11,a11,a8,a4,a5,a10,a11,a9) = tuple(a1,a6,a5,a2,a7,a3,a4,a9,a10,a8) ),
% 0.63/1.01 inference(reduction,[status(thm)],['1.0.0.3','0.193.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.4','L')]).
% 0.63/1.01 cnf('1.0.0.5',plain,
% 0.63/1.01 ( tuple(a11,a11,a11,a11,a11,a4,a5,a10,a11,a9) = tuple(a1,a6,a5,a2,a7,a3,a4,a9,a10,a8) ),
% 0.63/1.01 inference(reduction,[status(thm)],['1.0.0.4','0.191.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.5','L')]).
% 0.63/1.01 cnf('1.0.0.6',plain,
% 0.63/1.01 ( tuple(a11,a11,a11,a11,a11,a11,a5,a10,a11,a9) = tuple(a1,a6,a5,a2,a7,a3,a4,a9,a10,a8) ),
% 0.63/1.01 inference(reduction,[status(thm)],['1.0.0.5','0.184.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.6','L')]).
% 0.63/1.01 cnf('1.0.0.7',plain,
% 0.63/1.01 ( tuple(a11,a11,a11,a11,a11,a11,a11,a10,a11,a9) = tuple(a1,a6,a5,a2,a7,a3,a4,a9,a10,a8) ),
% 0.63/1.01 inference(reduction,[status(thm)],['1.0.0.6','0.187.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.7','L')]).
% 0.63/1.01 cnf('1.0.0.8',plain,
% 0.63/1.01 ( tuple(a11,a11,a11,a11,a11,a11,a11,a11,a11,a9) = tuple(a1,a6,a5,a2,a7,a3,a4,a9,a10,a8) ),
% 0.63/1.01 inference(reduction,[status(thm)],['1.0.0.7','0.196.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.8','L')]).
% 0.63/1.01 cnf('1.0.0.9',plain,
% 0.63/1.01 ( tuple(a11,a11,a11,a11,a11,a11,a11,a11,a11,a11) = tuple(a1,a6,a5,a2,a7,a3,a4,a9,a10,a8) ),
% 0.63/1.01 inference(reduction,[status(thm)],['1.0.0.8','0.186.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.10','L')]).
% 0.63/1.01 cnf('1.0.0.10',plain,
% 0.63/1.01 ( tuple(a11,a11,a11,a11,a11,a11,a11,a11,a11,a11) = tuple(a11,a6,a5,a2,a7,a3,a4,a9,a10,a8) ),
% 0.63/1.01 inference(reduction,[status(thm)],['1.0.0.9','0.188.2.0',theory(equality)]),
% 0.63/1.01 [pos('R.1','L')]).
% 0.63/1.01 cnf('1.0.0.11',plain,
% 0.63/1.01 ( tuple(a11,a11,a11,a11,a11,a11,a11,a11,a11,a11) = tuple(a11,a11,a5,a2,a7,a3,a4,a9,a10,a8) ),
% 0.63/1.01 inference(reduction,[status(thm)],['1.0.0.10','0.189.2.0',theory(equality)]),
% 0.63/1.01 [pos('R.2','L')]).
% 0.63/1.01 cnf('1.0.0.12',plain,
% 0.63/1.01 ( tuple(a11,a11,a11,a11,a11,a11,a11,a11,a11,a11) = tuple(a11,a11,a11,a2,a7,a3,a4,a9,a10,a8) ),
% 0.63/1.01 inference(reduction,[status(thm)],['1.0.0.11','0.187.2.0',theory(equality)]),
% 0.63/1.01 [pos('R.3','L')]).
% 0.63/1.01 cnf('1.0.0.13',plain,
% 0.63/1.01 ( tuple(a11,a11,a11,a11,a11,a11,a11,a11,a11,a11) = tuple(a11,a11,a11,a11,a7,a3,a4,a9,a10,a8) ),
% 0.63/1.01 inference(reduction,[status(thm)],['1.0.0.12','0.190.2.0',theory(equality)]),
% 0.63/1.01 [pos('R.4','L')]).
% 0.63/1.01 cnf('1.0.0.14',plain,
% 0.63/1.01 ( tuple(a11,a11,a11,a11,a11,a11,a11,a11,a11,a11) = tuple(a11,a11,a11,a11,a11,a3,a4,a9,a10,a8) ),
% 0.63/1.01 inference(reduction,[status(thm)],['1.0.0.13','0.192.2.0',theory(equality)]),
% 0.63/1.01 [pos('R.5','L')]).
% 0.63/1.01 cnf('1.0.0.15',plain,
% 0.63/1.01 ( tuple(a11,a11,a11,a11,a11,a11,a11,a11,a11,a11) = tuple(a11,a11,a11,a11,a11,a11,a4,a9,a10,a8) ),
% 0.63/1.01 inference(reduction,[status(thm)],['1.0.0.14','0.193.2.0',theory(equality)]),
% 0.63/1.01 [pos('R.6','L')]).
% 0.63/1.01 cnf('1.0.0.16',plain,
% 0.63/1.01 ( tuple(a11,a11,a11,a11,a11,a11,a11,a11,a11,a11) = tuple(a11,a11,a11,a11,a11,a11,a11,a9,a10,a8) ),
% 0.63/1.01 inference(reduction,[status(thm)],['1.0.0.15','0.184.2.0',theory(equality)]),
% 0.63/1.01 [pos('R.7','L')]).
% 0.63/1.01 cnf('1.0.0.17',plain,
% 0.63/1.01 ( tuple(a11,a11,a11,a11,a11,a11,a11,a11,a11,a11) = tuple(a11,a11,a11,a11,a11,a11,a11,a11,a10,a8) ),
% 0.63/1.01 inference(reduction,[status(thm)],['1.0.0.16','0.186.2.0',theory(equality)]),
% 0.63/1.01 [pos('R.8','L')]).
% 0.63/1.01 cnf('1.0.0.18',plain,
% 0.63/1.01 ( tuple(a11,a11,a11,a11,a11,a11,a11,a11,a11,a11) = tuple(a11,a11,a11,a11,a11,a11,a11,a11,a11,a8) ),
% 0.63/1.01 inference(reduction,[status(thm)],['1.0.0.17','0.196.2.0',theory(equality)]),
% 0.63/1.01 [pos('R.9','L')]).
% 0.63/1.01 cnf('1.0.0.19',plain,
% 0.63/1.01 ( tuple(a11,a11,a11,a11,a11,a11,a11,a11,a11,a11) = tuple(a11,a11,a11,a11,a11,a11,a11,a11,a11,a11) ),
% 0.63/1.01 inference(reduction,[status(thm)],['1.0.0.18','0.191.2.0',theory(equality)]),
% 0.63/1.01 [pos('R.10','L')]).
% 0.63/1.01 cnf('1.0.0.20',plain,
% 0.63/1.01 ( $true ),
% 0.63/1.01 inference(trivial,[status(thm)],['1.0.0.19',theory(equality)]),
% 0.63/1.01 [conjecture_1]).
% 0.63/1.01
% 0.63/1.01 Proved Goals:
% 0.63/1.01 No. 1: tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9) ?= tuple(a1,a6,a5,a2,a7,a3,a4,a9,a10,a8) joined, current: tuple(a11,a11,a11,a11,a11,a11,a11,a11,a11,a11) = tuple(a11,a11,a11,a11,a11,a11,a11,a11,a11,a11)
% 0.63/1.01 1 goal was specified, which was proved.
% 0.63/1.01 % SZS output end CNFRefutation
% 0.63/1.01 #END OF PROOF
% 0.63/1.01
% 0.63/1.01 Problem WALDMEISTER_1250_n029
% 0.63/1.01 CPs.gen 1668
% 0.63/1.01 CPs.reexp 0
% 0.63/1.01 Select 234
% 0.63/1.01 R 196
% 0.63/1.01 E 0
% 0.63/1.01 vsize 7.2M
% 0.63/1.01 rss 4.5M
% 0.63/1.01 process.time 0.022s
% 0.63/1.01 wallclock.time 0.022s
% 0.63/1.01 status S
% 0.63/1.01
% 0.63/1.01
% 0.63/1.01 Waldmeister states: Goal proved.
% 0.63/1.01 % SZS status Unsatisfiable
%------------------------------------------------------------------------------