TSTP Solution File: TOP053-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : TOP053-1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n018.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 0.59s 0.99s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : TOP053-1 : TPTP v8.1.0. Released v8.1.0.
% 0.03/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun May 29 14:28:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.59/0.98 ********************************************************************************
% 0.59/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/0.98 * |/ | \/ | *
% 0.59/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/0.98 * A. Jaeger and B. Loechner | | *
% 0.59/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/0.98 ********************************************************************************
% 0.59/0.98
% 0.59/0.98
% 0.59/0.98 Goals:
% 0.59/0.98 ------
% 0.59/0.98
% 0.59/0.98 ( 1) tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) ?=? tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14)
% 0.59/0.98
% 0.59/0.98 Detected structure: Orkus
% 0.59/0.98 ********************************************************************************
% 0.59/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.59/0.98 ********************************************************************************
% 0.59/0.98
% 0.59/0.99 joined goal: 1 tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) ?= tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) to tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14)
% 0.59/0.99 goal joined
% 0.59/0.99 % SZS status Unsatisfiable
% 0.59/0.99 #START OF PROOF
% 0.59/0.99 % SZS output start CNFRefutation
% 0.59/0.99 cnf('0.1.0.0',axiom,
% 0.59/0.99 ( X1 = product(X1,X1) ),
% 0.59/0.99 file('/tmp/WALDMEISTER_19942_n018')).
% 0.59/0.99 cnf('0.1.1.0',plain,
% 0.59/0.99 ( X1 = product(X1,X1) ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.59/0.99 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.59/0.99 cnf('0.1.2.0',plain,
% 0.59/0.99 ( product(X1,X1) = X1 ),
% 0.59/0.99 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.59/0.99 [x,rule_1]).
% 0.59/0.99 cnf('0.2.0.0',axiom,
% 0.59/0.99 ( X1 = product(product(X1,X2),X2) ),
% 0.59/0.99 file('/tmp/WALDMEISTER_19942_n018')).
% 0.59/0.99 cnf('0.2.1.0',plain,
% 0.59/0.99 ( X1 = product(product(X1,X2),X2) ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.59/0.99 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.59/0.99 cnf('0.2.2.0',plain,
% 0.59/0.99 ( product(product(X1,X2),X2) = X1 ),
% 0.59/0.99 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.59/0.99 [x,rule_2]).
% 0.59/0.99 cnf('0.3.0.0',axiom,
% 0.59/0.99 ( product(product(X1,X2),X3) = product(product(X1,X3),product(X2,X3)) ),
% 0.59/0.99 file('/tmp/WALDMEISTER_19942_n018')).
% 0.59/0.99 cnf('0.3.1.0',plain,
% 0.59/0.99 ( product(product(X1,X2),X3) = product(product(X1,X3),product(X2,X3)) ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.59/0.99 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.59/0.99 cnf('0.3.2.0',plain,
% 0.59/0.99 ( product(product(X1,X2),product(X3,X2)) = product(product(X1,X3),X2) ),
% 0.59/0.99 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.59/0.99 [x,rule_3]).
% 0.59/0.99 cnf('0.4.0.0',axiom,
% 0.59/0.99 ( product(a3,a4) = a5 ),
% 0.59/0.99 file('/tmp/WALDMEISTER_19942_n018')).
% 0.59/0.99 cnf('0.4.1.0',plain,
% 0.59/0.99 ( product(a3,a4) = a5 ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.59/0.99 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.59/0.99 cnf('0.4.2.0',plain,
% 0.59/0.99 ( product(a3,a4) = a5 ),
% 0.59/0.99 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.59/0.99 [u,rule_4]).
% 0.59/0.99 cnf('0.5.0.0',axiom,
% 0.59/0.99 ( product(a2,a12) = a14 ),
% 0.59/0.99 file('/tmp/WALDMEISTER_19942_n018')).
% 0.59/0.99 cnf('0.5.1.0',plain,
% 0.59/0.99 ( product(a2,a12) = a14 ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.59/0.99 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.59/0.99 cnf('0.5.2.0',plain,
% 0.59/0.99 ( product(a2,a12) = a14 ),
% 0.59/0.99 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.59/0.99 [u,rule_5]).
% 0.59/0.99 cnf('0.6.0.0',axiom,
% 0.59/0.99 ( product(a7,a3) = a8 ),
% 0.59/0.99 file('/tmp/WALDMEISTER_19942_n018')).
% 0.59/0.99 cnf('0.6.1.0',plain,
% 0.59/0.99 ( product(a7,a3) = a8 ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.59/0.99 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.59/0.99 cnf('0.6.2.0',plain,
% 0.59/0.99 ( product(a7,a3) = a8 ),
% 0.59/0.99 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.59/0.99 [u,rule_6]).
% 0.59/0.99 cnf('0.7.0.0',axiom,
% 0.59/0.99 ( product(a8,a2) = a9 ),
% 0.59/0.99 file('/tmp/WALDMEISTER_19942_n018')).
% 0.59/0.99 cnf('0.7.1.0',plain,
% 0.59/0.99 ( product(a8,a2) = a9 ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.59/0.99 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.59/0.99 cnf('0.7.2.0',plain,
% 0.59/0.99 ( product(a8,a2) = a9 ),
% 0.59/0.99 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.59/0.99 [u,rule_7]).
% 0.59/0.99 cnf('0.8.0.0',axiom,
% 0.59/0.99 ( product(a1,a2) = a3 ),
% 0.59/0.99 file('/tmp/WALDMEISTER_19942_n018')).
% 0.59/0.99 cnf('0.8.1.0',plain,
% 0.59/0.99 ( product(a1,a2) = a3 ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.59/0.99 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.59/0.99 cnf('0.8.2.0',plain,
% 0.59/0.99 ( product(a1,a2) = a3 ),
% 0.59/0.99 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.59/0.99 [u,rule_8]).
% 0.59/0.99 cnf('0.9.0.0',axiom,
% 0.59/0.99 ( product(a4,a7) = a11 ),
% 0.59/0.99 file('/tmp/WALDMEISTER_19942_n018')).
% 0.59/0.99 cnf('0.9.1.0',plain,
% 0.59/0.99 ( product(a4,a7) = a11 ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.59/0.99 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.59/0.99 cnf('0.9.2.0',plain,
% 0.59/0.99 ( product(a4,a7) = a11 ),
% 0.59/0.99 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.59/0.99 [u,rule_9]).
% 0.59/0.99 cnf('0.10.0.0',axiom,
% 0.59/0.99 ( product(a6,a7) = a2 ),
% 0.59/0.99 file('/tmp/WALDMEISTER_19942_n018')).
% 0.59/0.99 cnf('0.10.1.0',plain,
% 0.59/0.99 ( product(a6,a7) = a2 ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.59/0.99 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.59/0.99 cnf('0.10.2.0',plain,
% 0.59/0.99 ( product(a6,a7) = a2 ),
% 0.59/0.99 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.59/0.99 [u,rule_10]).
% 0.59/0.99 cnf('0.11.0.0',axiom,
% 0.59/0.99 ( product(a10,a11) = a12 ),
% 0.59/0.99 file('/tmp/WALDMEISTER_19942_n018')).
% 0.59/0.99 cnf('0.11.1.0',plain,
% 0.59/0.99 ( product(a10,a11) = a12 ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.59/0.99 [weight('<10,0,0,[0,0,0,11]>')]).
% 0.59/0.99 cnf('0.11.2.0',plain,
% 0.59/0.99 ( product(a10,a11) = a12 ),
% 0.59/0.99 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.59/0.99 [u,rule_11]).
% 0.59/0.99 cnf('0.12.0.0',axiom,
% 0.59/0.99 ( product(a11,a10) = a1 ),
% 0.59/0.99 file('/tmp/WALDMEISTER_19942_n018')).
% 0.59/0.99 cnf('0.12.1.0',plain,
% 0.59/0.99 ( product(a11,a10) = a1 ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.59/0.99 [weight('<11,0,0,[0,0,0,12]>')]).
% 0.59/0.99 cnf('0.12.2.0',plain,
% 0.59/0.99 ( product(a11,a10) = a1 ),
% 0.59/0.99 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.59/0.99 [u,rule_12]).
% 0.59/0.99 cnf('0.13.0.0',axiom,
% 0.59/0.99 ( product(a12,a3) = a13 ),
% 0.59/0.99 file('/tmp/WALDMEISTER_19942_n018')).
% 0.59/0.99 cnf('0.13.1.0',plain,
% 0.59/0.99 ( product(a12,a3) = a13 ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.59/0.99 [weight('<12,0,0,[0,0,0,13]>')]).
% 0.59/0.99 cnf('0.13.2.0',plain,
% 0.59/0.99 ( product(a12,a3) = a13 ),
% 0.59/0.99 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.59/0.99 [u,rule_13]).
% 0.59/0.99 cnf('0.14.0.0',axiom,
% 0.59/0.99 ( product(a5,a6) = a7 ),
% 0.59/0.99 file('/tmp/WALDMEISTER_19942_n018')).
% 0.59/0.99 cnf('0.14.1.0',plain,
% 0.59/0.99 ( product(a5,a6) = a7 ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.59/0.99 [weight('<13,0,0,[0,0,0,14]>')]).
% 0.59/0.99 cnf('0.14.2.0',plain,
% 0.59/0.99 ( product(a5,a6) = a7 ),
% 0.59/0.99 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.59/0.99 [u,rule_14]).
% 0.59/0.99 cnf('0.15.0.0',axiom,
% 0.59/0.99 ( product(a9,a1) = a10 ),
% 0.59/0.99 file('/tmp/WALDMEISTER_19942_n018')).
% 0.59/0.99 cnf('0.15.1.0',plain,
% 0.59/0.99 ( product(a9,a1) = a10 ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.59/0.99 [weight('<14,0,0,[0,0,0,15]>')]).
% 0.59/0.99 cnf('0.15.2.0',plain,
% 0.59/0.99 ( product(a9,a1) = a10 ),
% 0.59/0.99 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.59/0.99 [u,rule_15]).
% 0.59/0.99 cnf('0.16.0.0',axiom,
% 0.59/0.99 ( product(a13,a8) = a6 ),
% 0.59/0.99 file('/tmp/WALDMEISTER_19942_n018')).
% 0.59/0.99 cnf('0.16.1.0',plain,
% 0.59/0.99 ( product(a13,a8) = a6 ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.59/0.99 [weight('<15,0,0,[0,0,0,16]>')]).
% 0.59/0.99 cnf('0.16.2.0',plain,
% 0.59/0.99 ( product(a13,a8) = a6 ),
% 0.59/0.99 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.59/0.99 [u,rule_16]).
% 0.59/0.99 cnf('0.17.0.0',axiom,
% 0.59/0.99 ( product(a15,a8) = a4 ),
% 0.59/0.99 file('/tmp/WALDMEISTER_19942_n018')).
% 0.59/0.99 cnf('0.17.1.0',plain,
% 0.59/0.99 ( product(a15,a8) = a4 ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.59/0.99 [weight('<16,0,0,[0,0,0,17]>')]).
% 0.59/0.99 cnf('0.17.2.0',plain,
% 0.59/0.99 ( product(a15,a8) = a4 ),
% 0.59/0.99 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.59/0.99 [u,rule_17]).
% 0.59/0.99 cnf('0.18.0.0',axiom,
% 0.59/0.99 ( product(a14,a3) = a15 ),
% 0.59/0.99 file('/tmp/WALDMEISTER_19942_n018')).
% 0.59/0.99 cnf('0.18.1.0',plain,
% 0.59/0.99 ( product(a14,a3) = a15 ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.59/0.99 [weight('<17,0,0,[0,0,0,18]>')]).
% 0.59/0.99 cnf('0.18.2.0',plain,
% 0.59/0.99 ( product(a14,a3) = a15 ),
% 0.59/0.99 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.59/0.99 [u,rule_18]).
% 0.59/0.99 cnf('0.19.0.0',plain,
% 0.59/0.99 ( a3 = product(a5,a4) ),
% 0.59/0.99 inference(cp,[status(thm)],['0.2.2.0','0.4.2.0',theory(equality)]),
% 0.59/0.99 [pos('L.1','L')]).
% 0.59/0.99 cnf('0.19.1.0',plain,
% 0.59/0.99 ( a3 = product(a5,a4) ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.59/0.99 [weight('<19,4,2,[0,0,0,1]>')]).
% 0.59/0.99 cnf('0.19.2.0',plain,
% 0.59/1.00 ( product(a5,a4) = a3 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_19]).
% 0.59/1.00 cnf('0.20.0.0',plain,
% 0.59/1.00 ( a2 = product(a14,a12) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.2.2.0','0.5.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.20.1.0',plain,
% 0.59/1.00 ( a2 = product(a14,a12) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.59/1.00 [weight('<19,5,2,[0,0,0,1]>')]).
% 0.59/1.00 cnf('0.20.2.0',plain,
% 0.59/1.00 ( product(a14,a12) = a2 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_20]).
% 0.59/1.00 cnf('0.21.0.0',plain,
% 0.59/1.00 ( a7 = product(a8,a3) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.2.2.0','0.6.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.21.1.0',plain,
% 0.59/1.00 ( a7 = product(a8,a3) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.21.0.0']),
% 0.59/1.00 [weight('<19,6,2,[0,0,0,1]>')]).
% 0.59/1.00 cnf('0.21.2.0',plain,
% 0.59/1.00 ( product(a8,a3) = a7 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_21]).
% 0.59/1.00 cnf('0.23.0.0',plain,
% 0.59/1.00 ( a1 = product(a3,a2) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.2.2.0','0.8.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.23.1.0',plain,
% 0.59/1.00 ( a1 = product(a3,a2) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.59/1.00 [weight('<19,8,2,[0,0,0,1]>')]).
% 0.59/1.00 cnf('0.23.2.0',plain,
% 0.59/1.00 ( product(a3,a2) = a1 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_23]).
% 0.59/1.00 cnf('0.24.0.0',plain,
% 0.59/1.00 ( a4 = product(a11,a7) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.2.2.0','0.9.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.24.1.0',plain,
% 0.59/1.00 ( a4 = product(a11,a7) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.59/1.00 [weight('<19,9,2,[0,0,0,1]>')]).
% 0.59/1.00 cnf('0.24.2.0',plain,
% 0.59/1.00 ( product(a11,a7) = a4 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_24]).
% 0.59/1.00 cnf('0.25.0.0',plain,
% 0.59/1.00 ( a6 = product(a2,a7) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.2.2.0','0.10.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.25.1.0',plain,
% 0.59/1.00 ( a6 = product(a2,a7) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.59/1.00 [weight('<19,10,2,[0,0,0,1]>')]).
% 0.59/1.00 cnf('0.25.2.0',plain,
% 0.59/1.00 ( product(a2,a7) = a6 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_25]).
% 0.59/1.00 cnf('0.26.0.0',plain,
% 0.59/1.00 ( a10 = product(a12,a11) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.2.2.0','0.11.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.26.1.0',plain,
% 0.59/1.00 ( a10 = product(a12,a11) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.59/1.00 [weight('<19,11,2,[0,0,0,1]>')]).
% 0.59/1.00 cnf('0.26.2.0',plain,
% 0.59/1.00 ( product(a12,a11) = a10 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_26]).
% 0.59/1.00 cnf('0.27.0.0',plain,
% 0.59/1.00 ( a11 = product(a1,a10) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.2.2.0','0.12.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.27.1.0',plain,
% 0.59/1.00 ( a11 = product(a1,a10) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.59/1.00 [weight('<19,12,2,[0,0,0,1]>')]).
% 0.59/1.00 cnf('0.27.2.0',plain,
% 0.59/1.00 ( product(a1,a10) = a11 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_27]).
% 0.59/1.00 cnf('0.29.0.0',plain,
% 0.59/1.00 ( a5 = product(a7,a6) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.2.2.0','0.14.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.29.1.0',plain,
% 0.59/1.00 ( a5 = product(a7,a6) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.29.0.0']),
% 0.59/1.00 [weight('<19,14,2,[0,0,0,1]>')]).
% 0.59/1.00 cnf('0.29.2.0',plain,
% 0.59/1.00 ( product(a7,a6) = a5 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_29]).
% 0.59/1.00 cnf('0.31.0.0',plain,
% 0.59/1.00 ( a13 = product(a6,a8) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.2.2.0','0.16.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.31.1.0',plain,
% 0.59/1.00 ( a13 = product(a6,a8) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.31.0.0']),
% 0.59/1.00 [weight('<19,16,2,[0,0,0,1]>')]).
% 0.59/1.00 cnf('0.31.2.0',plain,
% 0.59/1.00 ( product(a6,a8) = a13 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_31]).
% 0.59/1.00 cnf('0.32.0.0',plain,
% 0.59/1.00 ( a15 = product(a4,a8) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.2.2.0','0.17.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.32.1.0',plain,
% 0.59/1.00 ( a15 = product(a4,a8) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.32.0.0']),
% 0.59/1.00 [weight('<19,17,2,[0,0,0,1]>')]).
% 0.59/1.00 cnf('0.32.2.0',plain,
% 0.59/1.00 ( product(a4,a8) = a15 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_32]).
% 0.59/1.00 cnf('0.34.0.0',plain,
% 0.59/1.00 ( product(product(X1,X2),X1) = product(X1,product(X2,X1)) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.34.1.0',plain,
% 0.59/1.00 ( product(product(X1,X2),X1) = product(X1,product(X2,X1)) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.34.0.0']),
% 0.59/1.00 [weight('<65,3,1,[1,0,0,1]>')]).
% 0.59/1.00 cnf('0.34.2.0',plain,
% 0.59/1.00 ( product(product(X1,X2),X1) = product(X1,product(X2,X1)) ),
% 0.59/1.00 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_34]).
% 0.59/1.00 cnf('0.40.0.0',plain,
% 0.59/1.00 ( product(a7,product(a6,a7)) = product(a5,a7) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.34.2.0','0.29.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.40.0.1',plain,
% 0.59/1.00 ( product(a7,a2) = product(a5,a7) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.40.0.0','0.10.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.40.1.0',plain,
% 0.59/1.00 ( product(a7,a2) = product(a5,a7) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.40.0.1']),
% 0.59/1.00 [weight('<27,34,29,[1,0,0,1]>')]).
% 0.59/1.00 cnf('0.40.2.0',plain,
% 0.59/1.00 ( product(a7,a2) = product(a5,a7) ),
% 0.59/1.00 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_40]).
% 0.59/1.00 cnf('0.42.0.0',plain,
% 0.59/1.00 ( a7 = product(product(a5,a7),a2) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.2.2.0','0.40.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.42.1.0',plain,
% 0.59/1.00 ( a7 = product(product(a5,a7),a2) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.42.0.0']),
% 0.59/1.00 [weight('<41,40,2,[0,0,0,1]>')]).
% 0.59/1.00 cnf('0.42.2.0',plain,
% 0.59/1.00 ( product(product(a5,a7),a2) = a7 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_42]).
% 0.59/1.00 cnf('0.61.0.0',plain,
% 0.59/1.00 ( product(product(product(X1,X2),X3),X2) = product(X1,product(X3,X2)) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.3.2.0','0.2.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.61.1.0',plain,
% 0.59/1.00 ( product(product(product(X1,X2),X3),X2) = product(X1,product(X3,X2)) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.61.0.0']),
% 0.59/1.00 [weight('<?,3,2,[1,0,0,1]>')]).
% 0.59/1.00 cnf('0.61.2.0',plain,
% 0.59/1.00 ( product(product(product(X1,X2),X3),X2) = product(X1,product(X3,X2)) ),
% 0.59/1.00 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_61]).
% 0.59/1.00 cnf('0.91.0.0',plain,
% 0.59/1.00 ( product(product(X1,a7),a3) = product(product(X1,a3),a8) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.3.2.0','0.6.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.91.1.0',plain,
% 0.59/1.00 ( product(product(X1,a7),a3) = product(product(X1,a3),a8) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.91.0.0']),
% 0.59/1.00 [weight('<65,6,3,[0,0,0,4]>')]).
% 0.59/1.00 cnf('0.91.2.0',plain,
% 0.59/1.00 ( product(product(X1,a3),a8) = product(product(X1,a7),a3) ),
% 0.59/1.00 inference(orient,[status(thm)],['0.91.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_91]).
% 0.59/1.00 cnf('0.92.0.0',plain,
% 0.59/1.00 ( product(product(a12,a7),a3) = product(a13,a8) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.91.2.0','0.13.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.92.0.1',plain,
% 0.59/1.00 ( product(product(a12,a7),a3) = a6 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.92.0.0','0.16.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.92.1.0',plain,
% 0.59/1.00 ( product(product(a12,a7),a3) = a6 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.92.0.1']),
% 0.59/1.00 [weight('<41,91,13,[1,0,0,1]>')]).
% 0.59/1.00 cnf('0.92.2.0',plain,
% 0.59/1.00 ( product(product(a12,a7),a3) = a6 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.92.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_92]).
% 0.59/1.00 cnf('0.94.0.0',plain,
% 0.59/1.00 ( product(product(a14,a7),a3) = product(a15,a8) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.91.2.0','0.18.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.94.0.1',plain,
% 0.59/1.00 ( product(product(a14,a7),a3) = a4 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.94.0.0','0.17.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.94.1.0',plain,
% 0.59/1.00 ( product(product(a14,a7),a3) = a4 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.94.0.1']),
% 0.59/1.00 [weight('<41,91,18,[1,0,0,1]>')]).
% 0.59/1.00 cnf('0.94.2.0',plain,
% 0.59/1.00 ( product(product(a14,a7),a3) = a4 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.94.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_94]).
% 0.59/1.00 cnf('0.96.0.0',plain,
% 0.59/1.00 ( product(a12,product(a3,a7)) = product(a6,a7) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.61.2.0','0.92.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.96.0.1',plain,
% 0.59/1.00 ( product(a12,product(a3,a7)) = a2 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.96.0.0','0.10.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.96.1.0',plain,
% 0.59/1.00 ( product(a12,product(a3,a7)) = a2 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.96.0.1']),
% 0.59/1.00 [weight('<41,92,61,[0,0,0,1]>')]).
% 0.59/1.00 cnf('0.96.2.0',plain,
% 0.59/1.00 ( product(a12,product(a3,a7)) = a2 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.96.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_96]).
% 0.59/1.00 cnf('0.97.0.0',plain,
% 0.59/1.00 ( product(a14,product(a3,a7)) = product(a4,a7) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.61.2.0','0.94.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.97.0.1',plain,
% 0.59/1.00 ( product(a14,product(a3,a7)) = a11 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.97.0.0','0.9.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.97.1.0',plain,
% 0.59/1.00 ( product(a14,product(a3,a7)) = a11 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.97.0.1']),
% 0.59/1.00 [weight('<41,94,61,[0,0,0,1]>')]).
% 0.59/1.00 cnf('0.97.2.0',plain,
% 0.59/1.00 ( product(a14,product(a3,a7)) = a11 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.97.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_97]).
% 0.59/1.00 cnf('0.98.0.0',plain,
% 0.59/1.00 ( a12 = product(a2,product(a3,a7)) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.2.2.0','0.96.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.98.1.0',plain,
% 0.59/1.00 ( a12 = product(a2,product(a3,a7)) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.98.0.0']),
% 0.59/1.00 [weight('<41,96,2,[0,0,0,1]>')]).
% 0.59/1.00 cnf('0.98.2.0',plain,
% 0.59/1.00 ( product(a2,product(a3,a7)) = a12 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.98.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_98]).
% 0.59/1.00 cnf('0.99.0.0',plain,
% 0.59/1.00 ( a14 = product(a11,product(a3,a7)) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.2.2.0','0.97.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.99.1.0',plain,
% 0.59/1.00 ( a14 = product(a11,product(a3,a7)) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.99.0.0']),
% 0.59/1.00 [weight('<41,97,2,[0,0,0,1]>')]).
% 0.59/1.00 cnf('0.99.2.0',plain,
% 0.59/1.00 ( product(a11,product(a3,a7)) = a14 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.99.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_99]).
% 0.59/1.00 cnf('0.111.0.0',plain,
% 0.59/1.00 ( product(product(a8,X1),a2) = product(a9,product(X1,a2)) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.3.2.0','0.7.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.111.1.0',plain,
% 0.59/1.00 ( product(product(a8,X1),a2) = product(a9,product(X1,a2)) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.111.0.0']),
% 0.59/1.00 [weight('<65,7,3,[0,0,0,1]>')]).
% 0.59/1.00 cnf('0.111.2.0',plain,
% 0.59/1.00 ( product(product(a8,X1),a2) = product(a9,product(X1,a2)) ),
% 0.59/1.00 inference(orient,[status(thm)],['0.111.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_111]).
% 0.59/1.00 cnf('0.112.0.0',plain,
% 0.59/1.00 ( product(product(X1,product(X2,X3)),X3) = product(product(X1,X3),X2) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.3.2.0','0.2.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.112.1.0',plain,
% 0.59/1.00 ( product(product(X1,product(X2,X3)),X3) = product(product(X1,X3),X2) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.112.0.0']),
% 0.59/1.00 [weight('<?,3,2,[1,0,0,4]>')]).
% 0.59/1.00 cnf('0.112.2.0',plain,
% 0.59/1.00 ( product(product(X1,product(X2,X3)),X3) = product(product(X1,X3),X2) ),
% 0.59/1.00 inference(orient,[status(thm)],['0.112.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_112]).
% 0.59/1.00 cnf('0.113.0.0',plain,
% 0.59/1.00 ( product(a9,product(a3,a2)) = product(a7,a2) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.111.2.0','0.21.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.113.0.1',plain,
% 0.59/1.00 ( product(a9,a1) = product(a7,a2) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.113.0.0','0.23.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.113.0.2',plain,
% 0.59/1.00 ( a10 = product(a7,a2) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.113.0.1','0.15.2.0',theory(equality)]),
% 0.59/1.00 [pos('L','L')]).
% 0.59/1.00 cnf('0.113.0.3',plain,
% 0.59/1.00 ( a10 = product(a5,a7) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.113.0.2','0.40.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.113.1.0',plain,
% 0.59/1.00 ( a10 = product(a5,a7) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.113.0.3']),
% 0.59/1.00 [weight('<19,111,21,[1,0,0,1]>')]).
% 0.59/1.00 cnf('0.113.2.0',plain,
% 0.59/1.00 ( product(a5,a7) = a10 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.113.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_113]).
% 0.59/1.00 cnf('0.115.0.0',plain,
% 0.59/1.00 ( product(product(a5,a7),a2) = a7 ),
% 0.59/1.00 inference(interreduction_right,[status(thm)],['0.42.2.0'])).
% 0.59/1.00 cnf('0.115.0.1',plain,
% 0.59/1.00 ( product(a10,a2) = a7 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.115.0.0','0.113.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.115.1.0',plain,
% 0.59/1.00 ( product(a10,a2) = a7 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.115.0.1']),
% 0.59/1.00 [weight('<19,42,113,[0,0,0,0]>')]).
% 0.59/1.00 cnf('0.115.2.0',plain,
% 0.59/1.00 ( product(a10,a2) = a7 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.115.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_115]).
% 0.59/1.00 cnf('0.150.0.0',plain,
% 0.59/1.00 ( product(product(a1,X1),a2) = product(a3,product(X1,a2)) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.3.2.0','0.8.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.150.1.0',plain,
% 0.59/1.00 ( product(product(a1,X1),a2) = product(a3,product(X1,a2)) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.150.0.0']),
% 0.59/1.00 [weight('<65,8,3,[0,0,0,1]>')]).
% 0.59/1.00 cnf('0.150.2.0',plain,
% 0.59/1.00 ( product(product(a1,X1),a2) = product(a3,product(X1,a2)) ),
% 0.59/1.00 inference(orient,[status(thm)],['0.150.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_150]).
% 0.59/1.00 cnf('0.151.0.0',plain,
% 0.59/1.00 ( product(a3,product(a10,a2)) = product(a11,a2) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.150.2.0','0.27.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.151.0.1',plain,
% 0.59/1.00 ( product(a3,a7) = product(a11,a2) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.151.0.0','0.115.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.151.1.0',plain,
% 0.59/1.00 ( product(a3,a7) = product(a11,a2) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.151.0.1']),
% 0.59/1.00 [weight('<27,150,27,[1,0,0,1]>')]).
% 0.59/1.00 cnf('0.151.2.0',plain,
% 0.59/1.00 ( product(a3,a7) = product(a11,a2) ),
% 0.59/1.00 inference(orient,[status(thm)],['0.151.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_151]).
% 0.59/1.00 cnf('0.152.0.0',plain,
% 0.59/1.00 ( product(a12,product(a3,a7)) = a2 ),
% 0.59/1.00 inference(interreduction_right,[status(thm)],['0.96.2.0'])).
% 0.59/1.00 cnf('0.152.0.1',plain,
% 0.59/1.00 ( product(a12,product(a11,a2)) = a2 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.152.0.0','0.151.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.152.1.0',plain,
% 0.59/1.00 ( product(a12,product(a11,a2)) = a2 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.152.0.1']),
% 0.59/1.00 [weight('<41,96,151,[0,0,0,0]>')]).
% 0.59/1.00 cnf('0.152.2.0',plain,
% 0.59/1.00 ( product(a12,product(a11,a2)) = a2 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.152.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_152]).
% 0.59/1.00 cnf('0.154.0.0',plain,
% 0.59/1.00 ( product(a2,product(a3,a7)) = a12 ),
% 0.59/1.00 inference(interreduction_right,[status(thm)],['0.98.2.0'])).
% 0.59/1.00 cnf('0.154.0.1',plain,
% 0.59/1.00 ( product(a2,product(a11,a2)) = a12 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.154.0.0','0.151.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.154.1.0',plain,
% 0.59/1.00 ( product(a2,product(a11,a2)) = a12 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.154.0.1']),
% 0.59/1.00 [weight('<41,98,151,[0,0,0,0]>')]).
% 0.59/1.00 cnf('0.154.2.0',plain,
% 0.59/1.00 ( product(a2,product(a11,a2)) = a12 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.154.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_154]).
% 0.59/1.00 cnf('0.155.0.0',plain,
% 0.59/1.00 ( product(a2,product(product(a11,a2),a2)) = product(a12,a2) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.34.2.0','0.154.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.155.0.1',plain,
% 0.59/1.00 ( product(a2,a11) = product(a12,a2) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.155.0.0','0.2.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.155.1.0',plain,
% 0.59/1.00 ( product(a2,a11) = product(a12,a2) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.155.0.1']),
% 0.59/1.00 [weight('<27,154,34,[0,0,0,1]>')]).
% 0.59/1.00 cnf('0.155.2.0',plain,
% 0.59/1.00 ( product(a2,a11) = product(a12,a2) ),
% 0.59/1.00 inference(orient,[status(thm)],['0.155.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_155]).
% 0.59/1.00 cnf('0.156.0.0',plain,
% 0.59/1.00 ( product(a11,product(a3,a7)) = a14 ),
% 0.59/1.00 inference(interreduction_right,[status(thm)],['0.99.2.0'])).
% 0.59/1.00 cnf('0.156.0.1',plain,
% 0.59/1.00 ( product(a11,product(a11,a2)) = a14 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.156.0.0','0.151.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.156.1.0',plain,
% 0.59/1.00 ( product(a11,product(a11,a2)) = a14 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.156.0.1']),
% 0.59/1.00 [weight('<41,99,151,[0,0,0,0]>')]).
% 0.59/1.00 cnf('0.156.2.0',plain,
% 0.59/1.00 ( product(a11,product(a11,a2)) = a14 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.156.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_156]).
% 0.59/1.00 cnf('0.157.0.0',plain,
% 0.59/1.00 ( a3 = product(product(a11,a2),a7) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.2.2.0','0.151.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.157.1.0',plain,
% 0.59/1.00 ( a3 = product(product(a11,a2),a7) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.157.0.0']),
% 0.59/1.00 [weight('<41,151,2,[0,0,0,1]>')]).
% 0.59/1.00 cnf('0.157.2.0',plain,
% 0.59/1.00 ( product(product(a11,a2),a7) = a3 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.157.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_157]).
% 0.59/1.00 cnf('0.158.0.0',plain,
% 0.59/1.00 ( product(product(a12,a2),a11) = product(a2,a2) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.112.2.0','0.152.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.158.0.1',plain,
% 0.59/1.00 ( product(product(a12,a2),a11) = a2 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.158.0.0','0.1.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.158.1.0',plain,
% 0.59/1.00 ( product(product(a12,a2),a11) = a2 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.158.0.1']),
% 0.59/1.00 [weight('<41,152,112,[0,0,0,1]>')]).
% 0.59/1.00 cnf('0.158.2.0',plain,
% 0.59/1.00 ( product(product(a12,a2),a11) = a2 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.158.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_158]).
% 0.59/1.00 cnf('0.165.0.0',plain,
% 0.59/1.00 ( product(product(a11,a2),a11) = product(a14,a2) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.112.2.0','0.156.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.165.0.1',plain,
% 0.59/1.00 ( product(a11,product(a2,a11)) = product(a14,a2) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.165.0.0','0.34.2.0',theory(equality)]),
% 0.59/1.00 [pos('L','L')]).
% 0.59/1.00 cnf('0.165.0.2',plain,
% 0.59/1.00 ( product(a11,product(a12,a2)) = product(a14,a2) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.165.0.1','0.155.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.165.1.0',plain,
% 0.59/1.00 ( product(a11,product(a12,a2)) = product(a14,a2) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.165.0.2']),
% 0.59/1.00 [weight('<53,156,112,[0,0,0,1]>')]).
% 0.59/1.00 cnf('0.165.2.0',plain,
% 0.59/1.00 ( product(a11,product(a12,a2)) = product(a14,a2) ),
% 0.59/1.00 inference(orient,[status(thm)],['0.165.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_165]).
% 0.59/1.00 cnf('0.166.0.0',plain,
% 0.59/1.00 ( a11 = product(product(a14,a2),product(a12,a2)) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.2.2.0','0.165.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.166.0.1',plain,
% 0.59/1.00 ( a11 = product(product(a14,a12),a2) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.166.0.0','0.3.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.166.0.2',plain,
% 0.59/1.00 ( a11 = product(a2,a2) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.166.0.1','0.20.2.0',theory(equality)]),
% 0.59/1.00 [pos('R.1','L')]).
% 0.59/1.00 cnf('0.166.0.3',plain,
% 0.59/1.00 ( a11 = a2 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.166.0.2','0.1.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.166.1.0',plain,
% 0.59/1.00 ( a11 = a2 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.166.0.3']),
% 0.59/1.00 [weight('<5,165,2,[0,0,0,1]>')]).
% 0.59/1.00 cnf('0.166.2.0',plain,
% 0.59/1.00 ( a2 = a11 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.166.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_166]).
% 0.59/1.00 cnf('0.167.0.0',plain,
% 0.59/1.00 ( product(a2,a7) = a6 ),
% 0.59/1.00 inference(interreduction_right,[status(thm)],['0.25.2.0'])).
% 0.59/1.00 cnf('0.167.0.1',plain,
% 0.59/1.00 ( product(a11,a7) = a6 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.167.0.0','0.166.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.167.0.2',plain,
% 0.59/1.00 ( a4 = a6 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.167.0.1','0.24.2.0',theory(equality)]),
% 0.59/1.00 [pos('L','L')]).
% 0.59/1.00 cnf('0.167.1.0',plain,
% 0.59/1.00 ( a4 = a6 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.167.0.2']),
% 0.59/1.00 [weight('<5,25,166,[0,0,0,0]>')]).
% 0.59/1.00 cnf('0.167.2.0',plain,
% 0.59/1.00 ( a4 = a6 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.167.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_167]).
% 0.59/1.00 cnf('0.168.0.0',plain,
% 0.59/1.00 ( product(a5,a4) = a3 ),
% 0.59/1.00 inference(interreduction_right,[status(thm)],['0.19.2.0'])).
% 0.59/1.00 cnf('0.168.0.1',plain,
% 0.59/1.00 ( product(a5,a6) = a3 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.168.0.0','0.167.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.168.0.2',plain,
% 0.59/1.00 ( a7 = a3 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.168.0.1','0.14.2.0',theory(equality)]),
% 0.59/1.00 [pos('L','L')]).
% 0.59/1.00 cnf('0.168.1.0',plain,
% 0.59/1.00 ( a7 = a3 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.168.0.2']),
% 0.59/1.00 [weight('<5,19,167,[0,0,0,0]>')]).
% 0.59/1.00 cnf('0.168.2.0',plain,
% 0.59/1.00 ( a3 = a7 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.168.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_168]).
% 0.59/1.00 cnf('0.169.0.0',plain,
% 0.59/1.00 ( product(a7,a3) = a8 ),
% 0.59/1.00 inference(interreduction_right,[status(thm)],['0.6.2.0'])).
% 0.59/1.00 cnf('0.169.0.1',plain,
% 0.59/1.00 ( product(a7,a7) = a8 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.169.0.0','0.168.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.169.0.2',plain,
% 0.59/1.00 ( a7 = a8 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.169.0.1','0.1.2.0',theory(equality)]),
% 0.59/1.00 [pos('L','L')]).
% 0.59/1.00 cnf('0.169.1.0',plain,
% 0.59/1.00 ( a7 = a8 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.169.0.2']),
% 0.59/1.00 [weight('<5,6,168,[0,0,0,0]>')]).
% 0.59/1.00 cnf('0.169.2.0',plain,
% 0.59/1.00 ( a7 = a8 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.169.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_169]).
% 0.59/1.00 cnf('0.170.0.0',plain,
% 0.59/1.00 ( product(a4,a8) = a15 ),
% 0.59/1.00 inference(interreduction_right,[status(thm)],['0.32.2.0'])).
% 0.59/1.00 cnf('0.170.0.1',plain,
% 0.59/1.00 ( product(a6,a8) = a15 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.170.0.0','0.167.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.170.0.2',plain,
% 0.59/1.00 ( a13 = a15 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.170.0.1','0.31.2.0',theory(equality)]),
% 0.59/1.00 [pos('L','L')]).
% 0.59/1.00 cnf('0.170.1.0',plain,
% 0.59/1.00 ( a13 = a15 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.170.0.2']),
% 0.59/1.00 [weight('<5,32,167,[0,0,0,0]>')]).
% 0.59/1.00 cnf('0.170.2.0',plain,
% 0.59/1.00 ( a13 = a15 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.170.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_170]).
% 0.59/1.00 cnf('0.171.0.0',plain,
% 0.59/1.00 ( product(product(a12,a7),a3) = a6 ),
% 0.59/1.00 inference(interreduction_right,[status(thm)],['0.92.2.0'])).
% 0.59/1.00 cnf('0.171.0.1',plain,
% 0.59/1.00 ( product(product(a12,a7),a7) = a6 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.171.0.0','0.168.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.171.0.2',plain,
% 0.59/1.00 ( a12 = a6 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.171.0.1','0.2.2.0',theory(equality)]),
% 0.59/1.00 [pos('L','L')]).
% 0.59/1.00 cnf('0.171.1.0',plain,
% 0.59/1.00 ( a12 = a6 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.171.0.2']),
% 0.59/1.00 [weight('<5,92,168,[0,0,0,0]>')]).
% 0.59/1.00 cnf('0.171.2.0',plain,
% 0.59/1.00 ( a6 = a12 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.171.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_171]).
% 0.59/1.00 cnf('0.172.0.0',plain,
% 0.59/1.00 ( product(a10,a2) = a7 ),
% 0.59/1.00 inference(interreduction_right,[status(thm)],['0.115.2.0'])).
% 0.59/1.00 cnf('0.172.0.1',plain,
% 0.59/1.00 ( product(a10,a11) = a7 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.172.0.0','0.166.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.172.0.2',plain,
% 0.59/1.00 ( a12 = a7 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.172.0.1','0.11.2.0',theory(equality)]),
% 0.59/1.00 [pos('L','L')]).
% 0.59/1.00 cnf('0.172.1.0',plain,
% 0.59/1.00 ( a12 = a7 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.172.0.2']),
% 0.59/1.00 [weight('<5,115,166,[0,0,0,0]>')]).
% 0.59/1.00 cnf('0.172.1.1',plain,
% 0.59/1.00 ( a12 = a8 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.172.1.0','0.169.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.172.2.0',plain,
% 0.59/1.00 ( a8 = a12 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.172.1.1',theory(equality)]),
% 0.59/1.00 [x,rule_172]).
% 0.59/1.00 cnf('0.173.0.0',plain,
% 0.59/1.00 ( product(a12,product(a11,a2)) = a2 ),
% 0.59/1.00 inference(interreduction_right,[status(thm)],['0.152.2.0'])).
% 0.59/1.00 cnf('0.173.0.1',plain,
% 0.59/1.00 ( product(a12,product(a11,a11)) = a2 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.173.0.0','0.166.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2.2','L')]).
% 0.59/1.00 cnf('0.173.0.2',plain,
% 0.59/1.00 ( product(a12,a11) = a2 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.173.0.1','0.1.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.173.0.3',plain,
% 0.59/1.00 ( a10 = a2 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.173.0.2','0.26.2.0',theory(equality)]),
% 0.59/1.00 [pos('L','L')]).
% 0.59/1.00 cnf('0.173.0.4',plain,
% 0.59/1.00 ( a10 = a11 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.173.0.3','0.166.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.173.1.0',plain,
% 0.59/1.00 ( a10 = a11 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.173.0.4']),
% 0.59/1.00 [weight('<5,152,166,[0,0,0,0]>')]).
% 0.59/1.00 cnf('0.173.2.0',plain,
% 0.59/1.00 ( a10 = a11 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.173.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_173]).
% 0.59/1.00 cnf('0.174.0.0',plain,
% 0.59/1.00 ( product(a10,a11) = a12 ),
% 0.59/1.00 inference(interreduction_right,[status(thm)],['0.11.2.0'])).
% 0.59/1.00 cnf('0.174.0.1',plain,
% 0.59/1.00 ( product(a11,a11) = a12 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.174.0.0','0.173.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.174.0.2',plain,
% 0.59/1.00 ( a11 = a12 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.174.0.1','0.1.2.0',theory(equality)]),
% 0.59/1.00 [pos('L','L')]).
% 0.59/1.00 cnf('0.174.1.0',plain,
% 0.59/1.00 ( a11 = a12 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.174.0.2']),
% 0.59/1.00 [weight('<5,11,173,[0,0,0,0]>')]).
% 0.59/1.00 cnf('0.174.2.0',plain,
% 0.59/1.00 ( a11 = a12 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.174.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_174]).
% 0.59/1.00 cnf('0.175.0.0',plain,
% 0.59/1.00 ( product(a11,a10) = a1 ),
% 0.59/1.00 inference(interreduction_right,[status(thm)],['0.12.2.0'])).
% 0.59/1.00 cnf('0.175.0.1',plain,
% 0.59/1.00 ( product(a11,a11) = a1 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.175.0.0','0.173.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.175.0.2',plain,
% 0.59/1.00 ( a11 = a1 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.175.0.1','0.1.2.0',theory(equality)]),
% 0.59/1.00 [pos('L','L')]).
% 0.59/1.00 cnf('0.175.1.0',plain,
% 0.59/1.00 ( a11 = a1 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.175.0.2']),
% 0.59/1.00 [weight('<5,12,173,[0,0,0,0]>')]).
% 0.59/1.00 cnf('0.175.1.1',plain,
% 0.59/1.00 ( a12 = a1 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.175.1.0','0.174.2.0',theory(equality)]),
% 0.59/1.00 [pos('L','L')]).
% 0.59/1.00 cnf('0.175.2.0',plain,
% 0.59/1.00 ( a1 = a12 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.175.1.1',theory(equality)]),
% 0.59/1.00 [x,rule_175]).
% 0.59/1.00 cnf('0.177.0.0',plain,
% 0.59/1.00 ( product(a11,product(a11,a2)) = a14 ),
% 0.59/1.00 inference(interreduction_right,[status(thm)],['0.156.2.0'])).
% 0.59/1.00 cnf('0.177.0.1',plain,
% 0.59/1.00 ( product(a11,product(a11,a11)) = a14 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.177.0.0','0.166.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2.2','L')]).
% 0.59/1.00 cnf('0.177.0.2',plain,
% 0.59/1.00 ( product(a11,a11) = a14 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.177.0.1','0.1.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.177.0.3',plain,
% 0.59/1.00 ( a11 = a14 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.177.0.2','0.1.2.0',theory(equality)]),
% 0.59/1.00 [pos('L','L')]).
% 0.59/1.00 cnf('0.177.1.0',plain,
% 0.59/1.00 ( a11 = a14 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.177.0.3']),
% 0.59/1.00 [weight('<5,156,166,[0,0,0,0]>')]).
% 0.59/1.00 cnf('0.177.1.1',plain,
% 0.59/1.00 ( a12 = a14 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.177.1.0','0.174.2.0',theory(equality)]),
% 0.59/1.00 [pos('L','L')]).
% 0.59/1.00 cnf('0.177.2.0',plain,
% 0.59/1.00 ( a12 = a14 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.177.1.1',theory(equality)]),
% 0.59/1.00 [u,rule_177]).
% 0.59/1.00 cnf('0.178.0.0',plain,
% 0.59/1.00 ( product(product(a11,a2),a7) = a3 ),
% 0.59/1.00 inference(interreduction_right,[status(thm)],['0.157.2.0'])).
% 0.59/1.00 cnf('0.178.0.1',plain,
% 0.59/1.00 ( product(product(a11,a11),a7) = a3 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.178.0.0','0.166.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1.2','L')]).
% 0.59/1.00 cnf('0.178.0.2',plain,
% 0.59/1.00 ( product(a11,a7) = a3 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.178.0.1','0.1.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.178.0.3',plain,
% 0.59/1.00 ( a4 = a3 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.178.0.2','0.24.2.0',theory(equality)]),
% 0.59/1.00 [pos('L','L')]).
% 0.59/1.00 cnf('0.178.1.0',plain,
% 0.59/1.00 ( a4 = a3 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.178.0.3']),
% 0.59/1.00 [weight('<5,157,166,[0,0,0,0]>')]).
% 0.59/1.00 cnf('0.178.2.0',plain,
% 0.59/1.00 ( a3 = a4 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.178.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_178]).
% 0.59/1.00 cnf('0.179.0.0',plain,
% 0.59/1.00 ( product(product(a12,a2),a11) = a2 ),
% 0.59/1.00 inference(interreduction_right,[status(thm)],['0.158.2.0'])).
% 0.59/1.00 cnf('0.179.0.1',plain,
% 0.59/1.00 ( product(product(a12,a11),a11) = a2 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.179.0.0','0.166.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1.2','L')]).
% 0.59/1.00 cnf('0.179.0.2',plain,
% 0.59/1.00 ( product(a10,a11) = a2 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.179.0.1','0.26.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.179.0.3',plain,
% 0.59/1.00 ( a12 = a2 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.179.0.2','0.11.2.0',theory(equality)]),
% 0.59/1.00 [pos('L','L')]).
% 0.59/1.00 cnf('0.179.0.4',plain,
% 0.59/1.00 ( a12 = a11 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.179.0.3','0.166.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.179.1.0',plain,
% 0.59/1.00 ( a12 = a11 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.179.0.4']),
% 0.59/1.00 [weight('<5,158,166,[0,0,0,0]>')]).
% 0.59/1.00 cnf('0.179.1.1',plain,
% 0.59/1.00 ( a14 = a11 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.179.1.0','0.177.2.0',theory(equality)]),
% 0.59/1.00 [pos('L','L')]).
% 0.59/1.00 cnf('0.179.2.0',plain,
% 0.59/1.00 ( a11 = a14 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.179.1.1',theory(equality)]),
% 0.59/1.00 [x,rule_179]).
% 0.59/1.00 cnf('0.180.0.0',plain,
% 0.59/1.00 ( a2 = a11 ),
% 0.59/1.00 inference(interreduction_right,[status(thm)],['0.166.2.0'])).
% 0.59/1.00 cnf('0.180.0.1',plain,
% 0.59/1.00 ( a2 = a12 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.180.0.0','0.174.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.180.1.0',plain,
% 0.59/1.00 ( a2 = a12 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.180.0.1']),
% 0.59/1.00 [weight('<5,166,174,[0,0,0,0]>')]).
% 0.59/1.00 cnf('0.180.1.1',plain,
% 0.59/1.00 ( a2 = a14 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.180.1.0','0.177.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.180.2.0',plain,
% 0.59/1.00 ( a2 = a14 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.180.1.1',theory(equality)]),
% 0.59/1.00 [u,rule_180]).
% 0.59/1.00 cnf('0.181.0.0',plain,
% 0.59/1.00 ( a4 = a6 ),
% 0.59/1.00 inference(interreduction_right,[status(thm)],['0.167.2.0'])).
% 0.59/1.00 cnf('0.181.0.1',plain,
% 0.59/1.00 ( a4 = a12 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.181.0.0','0.171.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.181.1.0',plain,
% 0.59/1.00 ( a4 = a12 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.181.0.1']),
% 0.59/1.00 [weight('<5,167,171,[0,0,0,0]>')]).
% 0.59/1.00 cnf('0.181.1.1',plain,
% 0.59/1.00 ( a4 = a14 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.181.1.0','0.177.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.181.2.0',plain,
% 0.59/1.00 ( a4 = a14 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.181.1.1',theory(equality)]),
% 0.59/1.00 [u,rule_181]).
% 0.59/1.00 cnf('0.183.0.0',plain,
% 0.59/1.00 ( a7 = a8 ),
% 0.59/1.00 inference(interreduction_right,[status(thm)],['0.169.2.0'])).
% 0.59/1.00 cnf('0.183.0.1',plain,
% 0.59/1.00 ( a7 = a12 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.183.0.0','0.172.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.183.1.0',plain,
% 0.59/1.00 ( a7 = a12 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.183.0.1']),
% 0.59/1.00 [weight('<5,169,172,[0,0,0,0]>')]).
% 0.59/1.00 cnf('0.183.1.1',plain,
% 0.59/1.00 ( a7 = a14 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.183.1.0','0.177.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.183.2.0',plain,
% 0.59/1.00 ( a7 = a14 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.183.1.1',theory(equality)]),
% 0.59/1.00 [u,rule_183]).
% 0.59/1.00 cnf('0.184.0.0',plain,
% 0.59/1.00 ( a6 = a12 ),
% 0.59/1.00 inference(interreduction_right,[status(thm)],['0.171.2.0'])).
% 0.59/1.00 cnf('0.184.0.1',plain,
% 0.59/1.00 ( a6 = a14 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.184.0.0','0.177.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.184.1.0',plain,
% 0.59/1.00 ( a6 = a14 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.184.0.1']),
% 0.59/1.00 [weight('<5,171,177,[0,0,0,0]>')]).
% 0.59/1.00 cnf('0.184.2.0',plain,
% 0.59/1.00 ( a6 = a14 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.184.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_184]).
% 0.59/1.00 cnf('0.185.0.0',plain,
% 0.59/1.00 ( a8 = a12 ),
% 0.59/1.00 inference(interreduction_right,[status(thm)],['0.172.2.0'])).
% 0.59/1.00 cnf('0.185.0.1',plain,
% 0.59/1.00 ( a8 = a14 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.185.0.0','0.177.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.185.1.0',plain,
% 0.59/1.00 ( a8 = a14 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.185.0.1']),
% 0.59/1.00 [weight('<5,172,177,[0,0,0,0]>')]).
% 0.59/1.00 cnf('0.185.2.0',plain,
% 0.59/1.00 ( a8 = a14 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.185.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_185]).
% 0.59/1.00 cnf('0.186.0.0',plain,
% 0.59/1.00 ( a10 = a11 ),
% 0.59/1.00 inference(interreduction_right,[status(thm)],['0.173.2.0'])).
% 0.59/1.00 cnf('0.186.0.1',plain,
% 0.59/1.00 ( a10 = a12 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.186.0.0','0.174.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.186.1.0',plain,
% 0.59/1.00 ( a10 = a12 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.186.0.1']),
% 0.59/1.00 [weight('<5,173,174,[0,0,0,0]>')]).
% 0.59/1.00 cnf('0.186.1.1',plain,
% 0.59/1.00 ( a10 = a14 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.186.1.0','0.177.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.186.2.0',plain,
% 0.59/1.00 ( a10 = a14 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.186.1.1',theory(equality)]),
% 0.59/1.00 [u,rule_186]).
% 0.59/1.00 cnf('0.187.0.0',plain,
% 0.59/1.00 ( a1 = a12 ),
% 0.59/1.00 inference(interreduction_right,[status(thm)],['0.175.2.0'])).
% 0.59/1.00 cnf('0.187.0.1',plain,
% 0.59/1.00 ( a1 = a14 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.187.0.0','0.177.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.187.1.0',plain,
% 0.59/1.00 ( a1 = a14 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.187.0.1']),
% 0.59/1.00 [weight('<5,175,177,[0,0,0,0]>')]).
% 0.59/1.00 cnf('0.187.2.0',plain,
% 0.59/1.00 ( a1 = a14 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.187.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_187]).
% 0.59/1.00 cnf('0.188.0.0',plain,
% 0.59/1.00 ( a3 = a4 ),
% 0.59/1.00 inference(interreduction_right,[status(thm)],['0.178.2.0'])).
% 0.59/1.00 cnf('0.188.0.1',plain,
% 0.59/1.00 ( a3 = a14 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.188.0.0','0.181.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.188.1.0',plain,
% 0.59/1.00 ( a3 = a14 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.188.0.1']),
% 0.59/1.00 [weight('<5,178,181,[0,0,0,0]>')]).
% 0.59/1.00 cnf('0.188.2.0',plain,
% 0.59/1.00 ( a3 = a14 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.188.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_188]).
% 0.59/1.00 cnf('0.189.0.0',plain,
% 0.59/1.00 ( product(a3,a4) = a5 ),
% 0.59/1.00 inference(interreduction_right,[status(thm)],['0.4.2.0'])).
% 0.59/1.00 cnf('0.189.0.1',plain,
% 0.59/1.00 ( product(a3,a6) = a5 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.189.0.0','0.167.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.189.1.0',plain,
% 0.59/1.00 ( product(a3,a6) = a5 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.189.0.1']),
% 0.59/1.00 [weight('<19,4,167,[0,0,0,0]>')]).
% 0.59/1.00 cnf('0.189.1.1',plain,
% 0.59/1.00 ( product(a14,a6) = a5 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.189.1.0','0.188.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.189.1.2',plain,
% 0.59/1.00 ( product(a14,a14) = a5 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.189.1.1','0.184.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.189.1.3',plain,
% 0.59/1.00 ( a14 = a5 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.189.1.2','0.1.2.0',theory(equality)]),
% 0.59/1.00 [pos('L','L')]).
% 0.59/1.00 cnf('0.189.2.0',plain,
% 0.59/1.00 ( a5 = a14 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.189.1.3',theory(equality)]),
% 0.59/1.00 [x,rule_189]).
% 0.59/1.00 cnf('0.190.0.0',plain,
% 0.59/1.00 ( product(a8,a2) = a9 ),
% 0.59/1.00 inference(interreduction_right,[status(thm)],['0.7.2.0'])).
% 0.59/1.00 cnf('0.190.0.1',plain,
% 0.59/1.00 ( product(a8,a11) = a9 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.190.0.0','0.166.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.190.1.0',plain,
% 0.59/1.00 ( product(a8,a11) = a9 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.190.0.1']),
% 0.59/1.00 [weight('<19,7,166,[0,0,0,0]>')]).
% 0.59/1.00 cnf('0.190.1.1',plain,
% 0.59/1.00 ( product(a14,a11) = a9 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.190.1.0','0.185.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.190.1.2',plain,
% 0.59/1.00 ( product(a14,a14) = a9 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.190.1.1','0.179.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.190.1.3',plain,
% 0.59/1.00 ( a14 = a9 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.190.1.2','0.1.2.0',theory(equality)]),
% 0.59/1.00 [pos('L','L')]).
% 0.59/1.00 cnf('0.190.2.0',plain,
% 0.59/1.00 ( a9 = a14 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.190.1.3',theory(equality)]),
% 0.59/1.00 [x,rule_190]).
% 0.59/1.00 cnf('0.191.0.0',plain,
% 0.59/1.00 ( product(a12,a3) = a13 ),
% 0.59/1.00 inference(interreduction_right,[status(thm)],['0.13.2.0'])).
% 0.59/1.00 cnf('0.191.0.1',plain,
% 0.59/1.00 ( product(a12,a7) = a13 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.191.0.0','0.168.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.191.1.0',plain,
% 0.59/1.00 ( product(a12,a7) = a13 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.191.0.1']),
% 0.59/1.00 [weight('<19,13,168,[0,0,0,0]>')]).
% 0.59/1.00 cnf('0.191.1.1',plain,
% 0.59/1.00 ( product(a14,a7) = a13 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.191.1.0','0.177.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.191.1.2',plain,
% 0.59/1.00 ( product(a14,a14) = a13 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.191.1.1','0.183.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.191.1.3',plain,
% 0.59/1.00 ( a14 = a13 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.191.1.2','0.1.2.0',theory(equality)]),
% 0.59/1.00 [pos('L','L')]).
% 0.59/1.00 cnf('0.191.1.4',plain,
% 0.59/1.00 ( a14 = a15 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.191.1.3','0.170.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.191.2.0',plain,
% 0.59/1.00 ( a15 = a14 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.191.1.4',theory(equality)]),
% 0.59/1.00 [x,rule_191]).
% 0.59/1.00 cnf('1.0.0.0',conjecture,
% 0.59/1.00 ( tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) ),
% 0.59/1.00 file('/tmp/WALDMEISTER_19942_n018',conjecture_1)).
% 0.59/1.00 cnf('1.0.0.1',plain,
% 0.59/1.00 ( tuple(a14,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) ),
% 0.59/1.00 inference(reduction,[status(thm)],['1.0.0.0','0.180.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('1.0.0.2',plain,
% 0.59/1.00 ( tuple(a14,a14,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) ),
% 0.59/1.00 inference(reduction,[status(thm)],['1.0.0.1','0.188.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('1.0.0.3',plain,
% 0.59/1.00 ( tuple(a14,a14,a14,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) ),
% 0.59/1.00 inference(reduction,[status(thm)],['1.0.0.2','0.181.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.3','L')]).
% 0.59/1.00 cnf('1.0.0.4',plain,
% 0.59/1.00 ( tuple(a14,a14,a14,a14,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) ),
% 0.59/1.00 inference(reduction,[status(thm)],['1.0.0.3','0.189.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.4','L')]).
% 0.59/1.00 cnf('1.0.0.5',plain,
% 0.59/1.00 ( tuple(a14,a14,a14,a14,a14,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) ),
% 0.59/1.00 inference(reduction,[status(thm)],['1.0.0.4','0.184.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.5','L')]).
% 0.59/1.00 cnf('1.0.0.6',plain,
% 0.59/1.00 ( tuple(a14,a14,a14,a14,a14,a14,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) ),
% 0.59/1.00 inference(reduction,[status(thm)],['1.0.0.5','0.183.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.6','L')]).
% 0.59/1.00 cnf('1.0.0.7',plain,
% 0.59/1.00 ( tuple(a14,a14,a14,a14,a14,a14,a14,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) ),
% 0.59/1.00 inference(reduction,[status(thm)],['1.0.0.6','0.185.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.7','L')]).
% 0.59/1.00 cnf('1.0.0.8',plain,
% 0.59/1.00 ( tuple(a14,a14,a14,a14,a14,a14,a14,a14,a10,a11,a12,a13,a14,a15) = tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) ),
% 0.59/1.00 inference(reduction,[status(thm)],['1.0.0.7','0.190.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.8','L')]).
% 0.59/1.00 cnf('1.0.0.9',plain,
% 0.59/1.00 ( tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a11,a12,a13,a14,a15) = tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) ),
% 0.59/1.00 inference(reduction,[status(thm)],['1.0.0.8','0.186.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.9','L')]).
% 0.59/1.00 cnf('1.0.0.10',plain,
% 0.59/1.00 ( tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a12,a13,a14,a15) = tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) ),
% 0.59/1.00 inference(reduction,[status(thm)],['1.0.0.9','0.179.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.10','L')]).
% 0.59/1.00 cnf('1.0.0.11',plain,
% 0.59/1.00 ( tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a13,a14,a15) = tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) ),
% 0.59/1.00 inference(reduction,[status(thm)],['1.0.0.10','0.177.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.11','L')]).
% 0.59/1.00 cnf('1.0.0.12',plain,
% 0.59/1.00 ( tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a15,a14,a15) = tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) ),
% 0.59/1.00 inference(reduction,[status(thm)],['1.0.0.11','0.170.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.12','L')]).
% 0.59/1.00 cnf('1.0.0.13',plain,
% 0.59/1.00 ( tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a15) = tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) ),
% 0.59/1.00 inference(reduction,[status(thm)],['1.0.0.12','0.191.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.12','L')]).
% 0.59/1.00 cnf('1.0.0.14',plain,
% 0.59/1.00 ( tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14) = tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) ),
% 0.59/1.00 inference(reduction,[status(thm)],['1.0.0.13','0.191.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.14','L')]).
% 0.59/1.00 cnf('1.0.0.15',plain,
% 0.59/1.00 ( tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14) = tuple(a14,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) ),
% 0.59/1.00 inference(reduction,[status(thm)],['1.0.0.14','0.187.2.0',theory(equality)]),
% 0.59/1.00 [pos('R.1','L')]).
% 0.59/1.00 cnf('1.0.0.16',plain,
% 0.59/1.00 ( tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14) = tuple(a14,a14,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) ),
% 0.59/1.00 inference(reduction,[status(thm)],['1.0.0.15','0.180.2.0',theory(equality)]),
% 0.59/1.00 [pos('R.2','L')]).
% 0.59/1.00 cnf('1.0.0.17',plain,
% 0.59/1.00 ( tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14) = tuple(a14,a14,a14,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) ),
% 0.59/1.00 inference(reduction,[status(thm)],['1.0.0.16','0.188.2.0',theory(equality)]),
% 0.59/1.00 [pos('R.3','L')]).
% 0.59/1.00 cnf('1.0.0.18',plain,
% 0.59/1.00 ( tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14) = tuple(a14,a14,a14,a14,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) ),
% 0.59/1.00 inference(reduction,[status(thm)],['1.0.0.17','0.181.2.0',theory(equality)]),
% 0.59/1.00 [pos('R.4','L')]).
% 0.59/1.00 cnf('1.0.0.19',plain,
% 0.59/1.00 ( tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14) = tuple(a14,a14,a14,a14,a14,a6,a7,a8,a9,a10,a11,a12,a13,a14) ),
% 0.59/1.00 inference(reduction,[status(thm)],['1.0.0.18','0.189.2.0',theory(equality)]),
% 0.59/1.00 [pos('R.5','L')]).
% 0.59/1.00 cnf('1.0.0.20',plain,
% 0.59/1.00 ( tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14) = tuple(a14,a14,a14,a14,a14,a14,a7,a8,a9,a10,a11,a12,a13,a14) ),
% 0.59/1.00 inference(reduction,[status(thm)],['1.0.0.19','0.184.2.0',theory(equality)]),
% 0.59/1.00 [pos('R.6','L')]).
% 0.59/1.00 cnf('1.0.0.21',plain,
% 0.59/1.00 ( tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14) = tuple(a14,a14,a14,a14,a14,a14,a14,a8,a9,a10,a11,a12,a13,a14) ),
% 0.59/1.00 inference(reduction,[status(thm)],['1.0.0.20','0.183.2.0',theory(equality)]),
% 0.59/1.00 [pos('R.7','L')]).
% 0.59/1.00 cnf('1.0.0.22',plain,
% 0.59/1.00 ( tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14) = tuple(a14,a14,a14,a14,a14,a14,a14,a14,a9,a10,a11,a12,a13,a14) ),
% 0.59/1.00 inference(reduction,[status(thm)],['1.0.0.21','0.185.2.0',theory(equality)]),
% 0.59/1.00 [pos('R.8','L')]).
% 0.59/1.00 cnf('1.0.0.23',plain,
% 0.59/1.00 ( tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14) = tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a10,a11,a12,a13,a14) ),
% 0.59/1.00 inference(reduction,[status(thm)],['1.0.0.22','0.190.2.0',theory(equality)]),
% 0.59/1.00 [pos('R.9','L')]).
% 0.59/1.00 cnf('1.0.0.24',plain,
% 0.59/1.00 ( tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14) = tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a11,a12,a13,a14) ),
% 0.59/1.00 inference(reduction,[status(thm)],['1.0.0.23','0.186.2.0',theory(equality)]),
% 0.59/1.00 [pos('R.10','L')]).
% 0.59/1.00 cnf('1.0.0.25',plain,
% 0.59/1.00 ( tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14) = tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a12,a13,a14) ),
% 0.59/1.00 inference(reduction,[status(thm)],['1.0.0.24','0.179.2.0',theory(equality)]),
% 0.59/1.00 [pos('R.11','L')]).
% 0.59/1.00 cnf('1.0.0.26',plain,
% 0.59/1.00 ( tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14) = tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a13,a14) ),
% 0.59/1.00 inference(reduction,[status(thm)],['1.0.0.25','0.177.2.0',theory(equality)]),
% 0.59/1.00 [pos('R.12','L')]).
% 0.59/1.00 cnf('1.0.0.27',plain,
% 0.59/1.00 ( tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14) = tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a15,a14) ),
% 0.59/1.00 inference(reduction,[status(thm)],['1.0.0.26','0.170.2.0',theory(equality)]),
% 0.59/1.00 [pos('R.13','L')]).
% 0.59/1.00 cnf('1.0.0.28',plain,
% 0.59/1.00 ( tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14) = tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14) ),
% 0.59/1.00 inference(reduction,[status(thm)],['1.0.0.27','0.191.2.0',theory(equality)]),
% 0.59/1.00 [pos('R.13','L')]).
% 0.59/1.00 cnf('1.0.0.29',plain,
% 0.59/1.00 ( $true ),
% 0.59/1.00 inference(trivial,[status(thm)],['1.0.0.28',theory(equality)]),
% 0.59/1.00 [conjecture_1]).
% 0.59/1.00
% 0.59/1.00 Proved Goals:
% 0.59/1.00 No. 1: tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) ?= tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) joined, current: tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14) = tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14)
% 0.59/1.00 1 goal was specified, which was proved.
% 0.59/1.00 % SZS output end CNFRefutation
% 0.59/1.00 #END OF PROOF
% 0.59/1.00
% 0.59/1.00 Problem WALDMEISTER_19942_n018
% 0.59/1.00 CPs.gen 1673
% 0.59/1.00 CPs.reexp 0
% 0.59/1.00 Select 224
% 0.59/1.00 R 191
% 0.59/1.00 E 0
% 0.59/1.00 vsize 7.3M
% 0.59/1.00 rss 4.6M
% 0.59/1.00 process.time 0.025s
% 0.59/1.00 wallclock.time 0.025s
% 0.59/1.00 status S
% 0.59/1.00
% 0.59/1.00
% 0.59/1.00 Waldmeister states: Goal proved.
% 0.59/1.00 % SZS status Unsatisfiable
%------------------------------------------------------------------------------