TSTP Solution File: TOP049-1 by Waldmeister---710
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : TOP049-1 : 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 0.38s 0.79s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.07 % Problem : TOP049-1 : TPTP v8.1.0. Released v8.1.0.
% 0.05/0.07 % Command : woody %s
% 0.06/0.25 % Computer : n029.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 600
% 0.06/0.25 % DateTime : Sun May 29 08:03:13 EDT 2022
% 0.06/0.25 % CPUTime :
% 0.38/0.78 ********************************************************************************
% 0.38/0.78 * W A L D M E I S T E R \| \ / \|/ *
% 0.38/0.78 * |/ | \/ | *
% 0.38/0.78 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.38/0.78 * A. Jaeger and B. Loechner | | *
% 0.38/0.78 * <waldmeister@informatik.uni-kl.de> | *
% 0.38/0.78 ********************************************************************************
% 0.38/0.78
% 0.38/0.78
% 0.38/0.78 Goals:
% 0.38/0.78 ------
% 0.38/0.78
% 0.38/0.78 ( 1) tuple(a1,a9,a8,a6,a7,a2,a3,a4,a5) ?=? tuple(a2,a10,a9,a7,a8,a3,a4,a5,a6)
% 0.38/0.78
% 0.38/0.78 Detected structure: Orkus
% 0.38/0.78 ********************************************************************************
% 0.38/0.78 ****************************** COMPLETION - PROOF ******************************
% 0.38/0.78 ********************************************************************************
% 0.38/0.78
% 0.38/0.79 joined goal: 1 tuple(a1,a9,a8,a6,a7,a2,a3,a4,a5) ?= tuple(a2,a10,a9,a7,a8,a3,a4,a5,a6) to tuple(a5,a5,a5,a5,a5,a5,a5,a5,a5)
% 0.38/0.79 goal joined
% 0.38/0.79 % SZS status Unsatisfiable
% 0.38/0.79 #START OF PROOF
% 0.38/0.79 % SZS output start CNFRefutation
% 0.38/0.79 cnf('0.1.0.0',axiom,
% 0.38/0.79 ( X1 = product(X1,X1) ),
% 0.38/0.79 file('/tmp/WALDMEISTER_19875_n029')).
% 0.38/0.79 cnf('0.1.1.0',plain,
% 0.38/0.79 ( X1 = product(X1,X1) ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.38/0.79 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.38/0.79 cnf('0.1.2.0',plain,
% 0.38/0.79 ( product(X1,X1) = X1 ),
% 0.38/0.79 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.38/0.79 [x,rule_1]).
% 0.38/0.79 cnf('0.2.0.0',axiom,
% 0.38/0.79 ( X1 = product(product(X1,X2),X2) ),
% 0.38/0.79 file('/tmp/WALDMEISTER_19875_n029')).
% 0.38/0.79 cnf('0.2.1.0',plain,
% 0.38/0.79 ( X1 = product(product(X1,X2),X2) ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.38/0.79 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.38/0.79 cnf('0.2.2.0',plain,
% 0.38/0.79 ( product(product(X1,X2),X2) = X1 ),
% 0.38/0.79 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.38/0.79 [x,rule_2]).
% 0.38/0.79 cnf('0.3.0.0',axiom,
% 0.38/0.79 ( product(product(X1,X2),X3) = product(product(X1,X3),product(X2,X3)) ),
% 0.38/0.79 file('/tmp/WALDMEISTER_19875_n029')).
% 0.38/0.79 cnf('0.3.1.0',plain,
% 0.38/0.79 ( product(product(X1,X2),X3) = product(product(X1,X3),product(X2,X3)) ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.38/0.79 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.38/0.79 cnf('0.3.2.0',plain,
% 0.38/0.79 ( product(product(X1,X2),product(X3,X2)) = product(product(X1,X3),X2) ),
% 0.38/0.79 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.38/0.79 [x,rule_3]).
% 0.38/0.79 cnf('0.4.0.0',axiom,
% 0.38/0.79 ( product(a4,a8) = a9 ),
% 0.38/0.79 file('/tmp/WALDMEISTER_19875_n029')).
% 0.38/0.79 cnf('0.4.1.0',plain,
% 0.38/0.79 ( product(a4,a8) = a9 ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.38/0.79 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.38/0.79 cnf('0.4.2.0',plain,
% 0.38/0.79 ( product(a4,a8) = a9 ),
% 0.38/0.79 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.38/0.79 [u,rule_4]).
% 0.38/0.79 cnf('0.5.0.0',axiom,
% 0.38/0.79 ( product(a1,a2) = a3 ),
% 0.38/0.79 file('/tmp/WALDMEISTER_19875_n029')).
% 0.38/0.79 cnf('0.5.1.0',plain,
% 0.38/0.79 ( product(a1,a2) = a3 ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.38/0.79 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.38/0.79 cnf('0.5.2.0',plain,
% 0.38/0.79 ( product(a1,a2) = a3 ),
% 0.38/0.79 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.38/0.79 [u,rule_5]).
% 0.38/0.79 cnf('0.6.0.0',axiom,
% 0.38/0.79 ( product(a10,a3) = a4 ),
% 0.38/0.79 file('/tmp/WALDMEISTER_19875_n029')).
% 0.38/0.79 cnf('0.6.1.0',plain,
% 0.38/0.79 ( product(a10,a3) = a4 ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.38/0.79 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.38/0.79 cnf('0.6.2.0',plain,
% 0.38/0.79 ( product(a10,a3) = a4 ),
% 0.38/0.79 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.38/0.79 [u,rule_6]).
% 0.38/0.79 cnf('0.7.0.0',axiom,
% 0.38/0.79 ( product(a9,a7) = a1 ),
% 0.38/0.79 file('/tmp/WALDMEISTER_19875_n029')).
% 0.38/0.79 cnf('0.7.1.0',plain,
% 0.38/0.79 ( product(a9,a7) = a1 ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.38/0.79 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.38/0.79 cnf('0.7.2.0',plain,
% 0.38/0.79 ( product(a9,a7) = a1 ),
% 0.38/0.79 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.38/0.79 [u,rule_7]).
% 0.38/0.79 cnf('0.8.0.0',axiom,
% 0.38/0.79 ( product(a8,a9) = a10 ),
% 0.38/0.79 file('/tmp/WALDMEISTER_19875_n029')).
% 0.38/0.79 cnf('0.8.1.0',plain,
% 0.38/0.79 ( product(a8,a9) = a10 ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.38/0.79 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.38/0.79 cnf('0.8.2.0',plain,
% 0.38/0.79 ( product(a8,a9) = a10 ),
% 0.38/0.79 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.38/0.79 [u,rule_8]).
% 0.38/0.79 cnf('0.9.0.0',axiom,
% 0.38/0.79 ( product(a7,a4) = a8 ),
% 0.38/0.79 file('/tmp/WALDMEISTER_19875_n029')).
% 0.38/0.79 cnf('0.9.1.0',plain,
% 0.38/0.79 ( product(a7,a4) = a8 ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.38/0.79 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.38/0.79 cnf('0.9.2.0',plain,
% 0.38/0.79 ( product(a7,a4) = a8 ),
% 0.38/0.79 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.38/0.79 [u,rule_9]).
% 0.38/0.79 cnf('0.10.0.0',axiom,
% 0.38/0.79 ( product(a2,a10) = a5 ),
% 0.38/0.79 file('/tmp/WALDMEISTER_19875_n029')).
% 0.38/0.79 cnf('0.10.1.0',plain,
% 0.38/0.79 ( product(a2,a10) = a5 ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.38/0.79 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.38/0.79 cnf('0.10.2.0',plain,
% 0.38/0.79 ( product(a2,a10) = a5 ),
% 0.38/0.79 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.38/0.79 [u,rule_10]).
% 0.38/0.79 cnf('0.11.0.0',axiom,
% 0.38/0.79 ( product(a3,a4) = a2 ),
% 0.38/0.79 file('/tmp/WALDMEISTER_19875_n029')).
% 0.38/0.79 cnf('0.11.1.0',plain,
% 0.38/0.79 ( product(a3,a4) = a2 ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.38/0.79 [weight('<10,0,0,[0,0,0,11]>')]).
% 0.38/0.79 cnf('0.11.2.0',plain,
% 0.38/0.79 ( product(a3,a4) = a2 ),
% 0.38/0.79 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.38/0.79 [u,rule_11]).
% 0.38/0.79 cnf('0.12.0.0',axiom,
% 0.38/0.79 ( product(a6,a1) = a7 ),
% 0.38/0.79 file('/tmp/WALDMEISTER_19875_n029')).
% 0.38/0.79 cnf('0.12.1.0',plain,
% 0.38/0.79 ( product(a6,a1) = a7 ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.38/0.79 [weight('<11,0,0,[0,0,0,12]>')]).
% 0.38/0.79 cnf('0.12.2.0',plain,
% 0.38/0.79 ( product(a6,a1) = a7 ),
% 0.38/0.79 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.38/0.79 [u,rule_12]).
% 0.38/0.79 cnf('0.13.0.0',axiom,
% 0.38/0.79 ( product(a5,a4) = a6 ),
% 0.38/0.79 file('/tmp/WALDMEISTER_19875_n029')).
% 0.38/0.79 cnf('0.13.1.0',plain,
% 0.38/0.79 ( product(a5,a4) = a6 ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.38/0.79 [weight('<12,0,0,[0,0,0,13]>')]).
% 0.38/0.79 cnf('0.13.2.0',plain,
% 0.38/0.79 ( product(a5,a4) = a6 ),
% 0.38/0.79 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.38/0.79 [u,rule_13]).
% 0.38/0.79 cnf('0.14.0.0',plain,
% 0.38/0.79 ( a4 = product(a9,a8) ),
% 0.38/0.79 inference(cp,[status(thm)],['0.2.2.0','0.4.2.0',theory(equality)]),
% 0.38/0.79 [pos('L.1','L')]).
% 0.38/0.79 cnf('0.14.1.0',plain,
% 0.38/0.79 ( a4 = product(a9,a8) ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.38/0.79 [weight('<19,4,2,[0,0,0,1]>')]).
% 0.38/0.79 cnf('0.14.2.0',plain,
% 0.38/0.79 ( product(a9,a8) = a4 ),
% 0.38/0.79 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.38/0.79 [x,rule_14]).
% 0.38/0.79 cnf('0.15.0.0',plain,
% 0.38/0.79 ( a1 = product(a3,a2) ),
% 0.38/0.79 inference(cp,[status(thm)],['0.2.2.0','0.5.2.0',theory(equality)]),
% 0.38/0.79 [pos('L.1','L')]).
% 0.38/0.79 cnf('0.15.1.0',plain,
% 0.38/0.79 ( a1 = product(a3,a2) ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.38/0.79 [weight('<19,5,2,[0,0,0,1]>')]).
% 0.38/0.79 cnf('0.15.2.0',plain,
% 0.38/0.79 ( product(a3,a2) = a1 ),
% 0.38/0.79 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.38/0.79 [x,rule_15]).
% 0.38/0.79 cnf('0.16.0.0',plain,
% 0.38/0.79 ( a10 = product(a4,a3) ),
% 0.38/0.79 inference(cp,[status(thm)],['0.2.2.0','0.6.2.0',theory(equality)]),
% 0.38/0.79 [pos('L.1','L')]).
% 0.38/0.79 cnf('0.16.1.0',plain,
% 0.38/0.79 ( a10 = product(a4,a3) ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.38/0.79 [weight('<19,6,2,[0,0,0,1]>')]).
% 0.38/0.79 cnf('0.16.2.0',plain,
% 0.38/0.79 ( product(a4,a3) = a10 ),
% 0.38/0.79 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.38/0.79 [x,rule_16]).
% 0.38/0.79 cnf('0.17.0.0',plain,
% 0.38/0.79 ( a9 = product(a1,a7) ),
% 0.38/0.79 inference(cp,[status(thm)],['0.2.2.0','0.7.2.0',theory(equality)]),
% 0.38/0.79 [pos('L.1','L')]).
% 0.38/0.79 cnf('0.17.1.0',plain,
% 0.38/0.79 ( a9 = product(a1,a7) ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.38/0.79 [weight('<19,7,2,[0,0,0,1]>')]).
% 0.38/0.79 cnf('0.17.2.0',plain,
% 0.38/0.79 ( product(a1,a7) = a9 ),
% 0.38/0.79 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.38/0.79 [x,rule_17]).
% 0.38/0.79 cnf('0.18.0.0',plain,
% 0.38/0.79 ( a8 = product(a10,a9) ),
% 0.38/0.79 inference(cp,[status(thm)],['0.2.2.0','0.8.2.0',theory(equality)]),
% 0.38/0.79 [pos('L.1','L')]).
% 0.38/0.79 cnf('0.18.1.0',plain,
% 0.38/0.79 ( a8 = product(a10,a9) ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.38/0.79 [weight('<19,8,2,[0,0,0,1]>')]).
% 0.38/0.79 cnf('0.18.2.0',plain,
% 0.38/0.79 ( product(a10,a9) = a8 ),
% 0.38/0.79 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.38/0.79 [x,rule_18]).
% 0.38/0.79 cnf('0.19.0.0',plain,
% 0.38/0.79 ( a7 = product(a8,a4) ),
% 0.38/0.79 inference(cp,[status(thm)],['0.2.2.0','0.9.2.0',theory(equality)]),
% 0.38/0.79 [pos('L.1','L')]).
% 0.38/0.79 cnf('0.19.1.0',plain,
% 0.38/0.79 ( a7 = product(a8,a4) ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.38/0.79 [weight('<19,9,2,[0,0,0,1]>')]).
% 0.38/0.79 cnf('0.19.2.0',plain,
% 0.38/0.79 ( product(a8,a4) = a7 ),
% 0.38/0.79 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.38/0.79 [x,rule_19]).
% 0.38/0.79 cnf('0.20.0.0',plain,
% 0.38/0.79 ( a2 = product(a5,a10) ),
% 0.38/0.79 inference(cp,[status(thm)],['0.2.2.0','0.10.2.0',theory(equality)]),
% 0.38/0.79 [pos('L.1','L')]).
% 0.38/0.79 cnf('0.20.1.0',plain,
% 0.38/0.79 ( a2 = product(a5,a10) ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.38/0.79 [weight('<19,10,2,[0,0,0,1]>')]).
% 0.38/0.79 cnf('0.20.2.0',plain,
% 0.38/0.79 ( product(a5,a10) = a2 ),
% 0.38/0.79 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.38/0.79 [x,rule_20]).
% 0.38/0.79 cnf('0.21.0.0',plain,
% 0.38/0.79 ( a3 = product(a2,a4) ),
% 0.38/0.79 inference(cp,[status(thm)],['0.2.2.0','0.11.2.0',theory(equality)]),
% 0.38/0.79 [pos('L.1','L')]).
% 0.38/0.79 cnf('0.21.1.0',plain,
% 0.38/0.79 ( a3 = product(a2,a4) ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.21.0.0']),
% 0.38/0.79 [weight('<19,11,2,[0,0,0,1]>')]).
% 0.38/0.79 cnf('0.21.2.0',plain,
% 0.38/0.79 ( product(a2,a4) = a3 ),
% 0.38/0.79 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.38/0.79 [x,rule_21]).
% 0.38/0.79 cnf('0.22.0.0',plain,
% 0.38/0.79 ( a6 = product(a7,a1) ),
% 0.38/0.79 inference(cp,[status(thm)],['0.2.2.0','0.12.2.0',theory(equality)]),
% 0.38/0.79 [pos('L.1','L')]).
% 0.38/0.79 cnf('0.22.1.0',plain,
% 0.38/0.79 ( a6 = product(a7,a1) ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.38/0.79 [weight('<19,12,2,[0,0,0,1]>')]).
% 0.38/0.79 cnf('0.22.2.0',plain,
% 0.38/0.79 ( product(a7,a1) = a6 ),
% 0.38/0.79 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.38/0.79 [x,rule_22]).
% 0.38/0.79 cnf('0.23.0.0',plain,
% 0.38/0.79 ( a5 = product(a6,a4) ),
% 0.38/0.79 inference(cp,[status(thm)],['0.2.2.0','0.13.2.0',theory(equality)]),
% 0.38/0.79 [pos('L.1','L')]).
% 0.38/0.79 cnf('0.23.1.0',plain,
% 0.38/0.79 ( a5 = product(a6,a4) ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.38/0.79 [weight('<19,13,2,[0,0,0,1]>')]).
% 0.38/0.79 cnf('0.23.2.0',plain,
% 0.38/0.79 ( product(a6,a4) = a5 ),
% 0.38/0.79 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.38/0.79 [x,rule_23]).
% 0.38/0.79 cnf('0.24.0.0',plain,
% 0.38/0.79 ( product(product(X1,X2),X1) = product(X1,product(X2,X1)) ),
% 0.38/0.79 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.38/0.79 [pos('L.1','L')]).
% 0.38/0.79 cnf('0.24.1.0',plain,
% 0.38/0.79 ( product(product(X1,X2),X1) = product(X1,product(X2,X1)) ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.38/0.79 [weight('<65,3,1,[1,0,0,1]>')]).
% 0.38/0.79 cnf('0.24.2.0',plain,
% 0.38/0.79 ( product(product(X1,X2),X1) = product(X1,product(X2,X1)) ),
% 0.38/0.79 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.38/0.79 [u,rule_24]).
% 0.38/0.79 cnf('0.25.0.0',plain,
% 0.38/0.79 ( product(a8,product(a9,a8)) = product(a10,a8) ),
% 0.38/0.79 inference(cp,[status(thm)],['0.24.2.0','0.8.2.0',theory(equality)]),
% 0.38/0.79 [pos('L.1','L')]).
% 0.38/0.79 cnf('0.25.0.1',plain,
% 0.38/0.79 ( product(a8,a4) = product(a10,a8) ),
% 0.38/0.79 inference(reduction,[status(thm)],['0.25.0.0','0.14.2.0',theory(equality)]),
% 0.38/0.79 [pos('L.2','L')]).
% 0.38/0.79 cnf('0.25.0.2',plain,
% 0.38/0.79 ( a7 = product(a10,a8) ),
% 0.38/0.79 inference(reduction,[status(thm)],['0.25.0.1','0.19.2.0',theory(equality)]),
% 0.38/0.79 [pos('L','L')]).
% 0.38/0.79 cnf('0.25.1.0',plain,
% 0.38/0.79 ( a7 = product(a10,a8) ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.25.0.2']),
% 0.38/0.79 [weight('<19,24,8,[1,0,0,1]>')]).
% 0.38/0.79 cnf('0.25.2.0',plain,
% 0.38/0.79 ( product(a10,a8) = a7 ),
% 0.38/0.79 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.38/0.79 [x,rule_25]).
% 0.38/0.79 cnf('0.26.0.0',plain,
% 0.38/0.79 ( product(a8,product(a4,a8)) = product(a7,a8) ),
% 0.38/0.79 inference(cp,[status(thm)],['0.24.2.0','0.19.2.0',theory(equality)]),
% 0.38/0.79 [pos('L.1','L')]).
% 0.38/0.79 cnf('0.26.0.1',plain,
% 0.38/0.79 ( product(a8,a9) = product(a7,a8) ),
% 0.38/0.79 inference(reduction,[status(thm)],['0.26.0.0','0.4.2.0',theory(equality)]),
% 0.38/0.79 [pos('L.2','L')]).
% 0.38/0.79 cnf('0.26.0.2',plain,
% 0.38/0.79 ( a10 = product(a7,a8) ),
% 0.38/0.79 inference(reduction,[status(thm)],['0.26.0.1','0.8.2.0',theory(equality)]),
% 0.38/0.79 [pos('L','L')]).
% 0.38/0.79 cnf('0.26.1.0',plain,
% 0.38/0.79 ( a10 = product(a7,a8) ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.26.0.2']),
% 0.38/0.79 [weight('<19,24,19,[1,0,0,1]>')]).
% 0.38/0.79 cnf('0.26.2.0',plain,
% 0.38/0.79 ( product(a7,a8) = a10 ),
% 0.38/0.79 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.38/0.79 [x,rule_26]).
% 0.38/0.79 cnf('0.27.0.0',plain,
% 0.38/0.79 ( product(a4,product(a8,a4)) = product(a9,a4) ),
% 0.38/0.79 inference(cp,[status(thm)],['0.24.2.0','0.4.2.0',theory(equality)]),
% 0.38/0.79 [pos('L.1','L')]).
% 0.38/0.79 cnf('0.27.0.1',plain,
% 0.38/0.79 ( product(a4,a7) = product(a9,a4) ),
% 0.38/0.79 inference(reduction,[status(thm)],['0.27.0.0','0.19.2.0',theory(equality)]),
% 0.38/0.79 [pos('L.2','L')]).
% 0.38/0.79 cnf('0.27.1.0',plain,
% 0.38/0.79 ( product(a4,a7) = product(a9,a4) ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.27.0.1']),
% 0.38/0.79 [weight('<27,24,4,[1,0,0,1]>')]).
% 0.38/0.79 cnf('0.27.2.0',plain,
% 0.38/0.79 ( product(a4,a7) = product(a9,a4) ),
% 0.38/0.79 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.38/0.79 [u,rule_27]).
% 0.38/0.79 cnf('0.29.0.0',plain,
% 0.38/0.79 ( product(a9,product(a8,a9)) = product(a4,a9) ),
% 0.38/0.79 inference(cp,[status(thm)],['0.24.2.0','0.14.2.0',theory(equality)]),
% 0.38/0.79 [pos('L.1','L')]).
% 0.38/0.79 cnf('0.29.0.1',plain,
% 0.38/0.79 ( product(a9,a10) = product(a4,a9) ),
% 0.38/0.79 inference(reduction,[status(thm)],['0.29.0.0','0.8.2.0',theory(equality)]),
% 0.38/0.79 [pos('L.2','L')]).
% 0.38/0.79 cnf('0.29.1.0',plain,
% 0.38/0.79 ( product(a9,a10) = product(a4,a9) ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.29.0.1']),
% 0.38/0.79 [weight('<27,24,14,[1,0,0,1]>')]).
% 0.38/0.79 cnf('0.29.2.0',plain,
% 0.38/0.79 ( product(a4,a9) = product(a9,a10) ),
% 0.38/0.79 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.38/0.79 [x,rule_29]).
% 0.38/0.79 cnf('0.30.0.0',plain,
% 0.38/0.79 ( product(a4,product(a3,a4)) = product(a10,a4) ),
% 0.38/0.79 inference(cp,[status(thm)],['0.24.2.0','0.16.2.0',theory(equality)]),
% 0.38/0.79 [pos('L.1','L')]).
% 0.38/0.79 cnf('0.30.0.1',plain,
% 0.38/0.79 ( product(a4,a2) = product(a10,a4) ),
% 0.38/0.79 inference(reduction,[status(thm)],['0.30.0.0','0.11.2.0',theory(equality)]),
% 0.38/0.79 [pos('L.2','L')]).
% 0.38/0.79 cnf('0.30.1.0',plain,
% 0.38/0.79 ( product(a4,a2) = product(a10,a4) ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.30.0.1']),
% 0.38/0.79 [weight('<27,24,16,[1,0,0,1]>')]).
% 0.38/0.79 cnf('0.30.2.0',plain,
% 0.38/0.79 ( product(a4,a2) = product(a10,a4) ),
% 0.38/0.79 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.38/0.79 [u,rule_30]).
% 0.38/0.79 cnf('0.32.0.0',plain,
% 0.38/0.79 ( product(a7,product(a1,a7)) = product(a6,a7) ),
% 0.38/0.79 inference(cp,[status(thm)],['0.24.2.0','0.22.2.0',theory(equality)]),
% 0.38/0.79 [pos('L.1','L')]).
% 0.38/0.79 cnf('0.32.0.1',plain,
% 0.38/0.79 ( product(a7,a9) = product(a6,a7) ),
% 0.38/0.79 inference(reduction,[status(thm)],['0.32.0.0','0.17.2.0',theory(equality)]),
% 0.38/0.79 [pos('L.2','L')]).
% 0.38/0.79 cnf('0.32.1.0',plain,
% 0.38/0.79 ( product(a7,a9) = product(a6,a7) ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.32.0.1']),
% 0.38/0.79 [weight('<27,24,22,[1,0,0,1]>')]).
% 0.38/0.79 cnf('0.32.2.0',plain,
% 0.38/0.79 ( product(a7,a9) = product(a6,a7) ),
% 0.38/0.79 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.38/0.79 [u,rule_32]).
% 0.38/0.79 cnf('0.33.0.0',plain,
% 0.38/0.79 ( product(a2,product(a4,a2)) = product(a3,a2) ),
% 0.38/0.79 inference(cp,[status(thm)],['0.24.2.0','0.21.2.0',theory(equality)]),
% 0.38/0.79 [pos('L.1','L')]).
% 0.38/0.79 cnf('0.33.0.1',plain,
% 0.38/0.79 ( product(a2,product(a4,a2)) = a1 ),
% 0.38/0.79 inference(reduction,[status(thm)],['0.33.0.0','0.15.2.0',theory(equality)]),
% 0.38/0.79 [pos('R','L')]).
% 0.38/0.79 cnf('0.33.1.0',plain,
% 0.38/0.79 ( product(a2,product(a4,a2)) = a1 ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.33.0.1']),
% 0.38/0.79 [weight('<41,24,21,[1,0,0,1]>')]).
% 0.38/0.79 cnf('0.33.1.1',plain,
% 0.38/0.79 ( product(a2,product(a10,a4)) = a1 ),
% 0.38/0.79 inference(reduction,[status(thm)],['0.33.1.0','0.30.2.0',theory(equality)]),
% 0.38/0.79 [pos('L.2','L')]).
% 0.38/0.79 cnf('0.33.2.0',plain,
% 0.38/0.79 ( product(a2,product(a10,a4)) = a1 ),
% 0.38/0.79 inference(orient,[status(thm)],['0.33.1.1',theory(equality)]),
% 0.38/0.79 [u,rule_33]).
% 0.38/0.79 cnf('0.34.0.0',plain,
% 0.38/0.79 ( a4 = product(product(a9,a4),a7) ),
% 0.38/0.79 inference(cp,[status(thm)],['0.2.2.0','0.27.2.0',theory(equality)]),
% 0.38/0.79 [pos('L.1','L')]).
% 0.38/0.79 cnf('0.34.1.0',plain,
% 0.38/0.79 ( a4 = product(product(a9,a4),a7) ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.34.0.0']),
% 0.38/0.79 [weight('<41,27,2,[0,0,0,1]>')]).
% 0.38/0.79 cnf('0.34.2.0',plain,
% 0.38/0.79 ( product(product(a9,a4),a7) = a4 ),
% 0.38/0.79 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.38/0.79 [x,rule_34]).
% 0.38/0.79 cnf('0.37.0.0',plain,
% 0.38/0.79 ( a7 = product(product(a6,a7),a9) ),
% 0.38/0.79 inference(cp,[status(thm)],['0.2.2.0','0.32.2.0',theory(equality)]),
% 0.38/0.79 [pos('L.1','L')]).
% 0.38/0.79 cnf('0.37.1.0',plain,
% 0.38/0.79 ( a7 = product(product(a6,a7),a9) ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.37.0.0']),
% 0.38/0.79 [weight('<41,32,2,[0,0,0,1]>')]).
% 0.38/0.79 cnf('0.37.2.0',plain,
% 0.38/0.79 ( product(product(a6,a7),a9) = a7 ),
% 0.38/0.79 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.38/0.79 [x,rule_37]).
% 0.38/0.79 cnf('0.38.0.0',plain,
% 0.38/0.79 ( a2 = product(a1,product(a10,a4)) ),
% 0.38/0.79 inference(cp,[status(thm)],['0.2.2.0','0.33.2.0',theory(equality)]),
% 0.38/0.79 [pos('L.1','L')]).
% 0.38/0.79 cnf('0.38.1.0',plain,
% 0.38/0.79 ( a2 = product(a1,product(a10,a4)) ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.38.0.0']),
% 0.38/0.79 [weight('<41,33,2,[0,0,0,1]>')]).
% 0.38/0.79 cnf('0.38.2.0',plain,
% 0.38/0.79 ( product(a1,product(a10,a4)) = a2 ),
% 0.38/0.79 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 0.38/0.79 [x,rule_38]).
% 0.38/0.79 cnf('0.47.0.0',plain,
% 0.38/0.79 ( product(a10,product(a9,a10)) = product(a8,a10) ),
% 0.38/0.79 inference(cp,[status(thm)],['0.24.2.0','0.18.2.0',theory(equality)]),
% 0.38/0.79 [pos('L.1','L')]).
% 0.38/0.79 cnf('0.47.1.0',plain,
% 0.38/0.79 ( product(a10,product(a9,a10)) = product(a8,a10) ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.47.0.0']),
% 0.38/0.79 [weight('<53,24,18,[1,0,0,1]>')]).
% 0.38/0.79 cnf('0.47.2.0',plain,
% 0.38/0.79 ( product(a10,product(a9,a10)) = product(a8,a10) ),
% 0.38/0.79 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 0.38/0.79 [u,rule_47]).
% 0.38/0.79 cnf('0.58.0.0',plain,
% 0.38/0.79 ( product(product(X1,a4),a8) = product(product(X1,a8),a9) ),
% 0.38/0.79 inference(cp,[status(thm)],['0.3.2.0','0.4.2.0',theory(equality)]),
% 0.38/0.79 [pos('L.2','L')]).
% 0.38/0.79 cnf('0.58.1.0',plain,
% 0.38/0.79 ( product(product(X1,a4),a8) = product(product(X1,a8),a9) ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.58.0.0']),
% 0.38/0.79 [weight('<65,4,3,[0,0,0,4]>')]).
% 0.38/0.79 cnf('0.58.2.0',plain,
% 0.38/0.79 ( product(product(X1,a4),a8) = product(product(X1,a8),a9) ),
% 0.38/0.79 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 0.38/0.79 [u,rule_58]).
% 0.38/0.79 cnf('0.59.0.0',plain,
% 0.38/0.79 ( product(product(product(X1,X2),X3),X2) = product(X1,product(X3,X2)) ),
% 0.38/0.79 inference(cp,[status(thm)],['0.3.2.0','0.2.2.0',theory(equality)]),
% 0.38/0.79 [pos('L.1','L')]).
% 0.38/0.79 cnf('0.59.1.0',plain,
% 0.38/0.79 ( product(product(product(X1,X2),X3),X2) = product(X1,product(X3,X2)) ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.59.0.0']),
% 0.38/0.79 [weight('<?,3,2,[1,0,0,1]>')]).
% 0.38/0.79 cnf('0.59.2.0',plain,
% 0.38/0.79 ( product(product(product(X1,X2),X3),X2) = product(X1,product(X3,X2)) ),
% 0.38/0.79 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 0.38/0.79 [u,rule_59]).
% 0.38/0.79 cnf('0.63.0.0',plain,
% 0.38/0.79 ( product(product(a6,a8),a9) = product(a5,a8) ),
% 0.38/0.79 inference(cp,[status(thm)],['0.58.2.0','0.23.2.0',theory(equality)]),
% 0.38/0.79 [pos('L.1','L')]).
% 0.38/0.79 cnf('0.63.1.0',plain,
% 0.38/0.79 ( product(product(a6,a8),a9) = product(a5,a8) ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.63.0.0']),
% 0.38/0.79 [weight('<53,58,23,[1,0,0,1]>')]).
% 0.38/0.79 cnf('0.63.2.0',plain,
% 0.38/0.79 ( product(product(a6,a8),a9) = product(a5,a8) ),
% 0.38/0.79 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 0.38/0.79 [u,rule_63]).
% 0.38/0.79 cnf('0.79.0.0',plain,
% 0.38/0.79 ( product(product(a9,X1),a7) = product(a1,product(X1,a7)) ),
% 0.38/0.79 inference(cp,[status(thm)],['0.3.2.0','0.7.2.0',theory(equality)]),
% 0.38/0.79 [pos('L.1','L')]).
% 0.38/0.79 cnf('0.79.1.0',plain,
% 0.38/0.79 ( product(product(a9,X1),a7) = product(a1,product(X1,a7)) ),
% 0.38/0.79 inference(weigh,[status(thm)],['0.79.0.0']),
% 0.38/0.79 [weight('<65,7,3,[0,0,0,1]>')]).
% 0.38/0.79 cnf('0.79.2.0',plain,
% 0.38/0.79 ( product(product(a9,X1),a7) = product(a1,product(X1,a7)) ),
% 0.38/0.79 inference(orient,[status(thm)],['0.79.1.0',theory(equality)]),
% 0.38/0.79 [u,rule_79]).
% 0.38/0.79 cnf('0.80.0.0',plain,
% 0.38/0.79 ( product(product(a9,a4),a7) = a4 ),
% 0.38/0.79 inference(interreduction_right,[status(thm)],['0.34.2.0'])).
% 0.38/0.79 cnf('0.80.0.1',plain,
% 0.38/0.79 ( product(a1,product(a4,a7)) = a4 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.80.0.0','0.79.2.0',theory(equality)]),
% 0.38/0.80 [pos('L','L')]).
% 0.38/0.80 cnf('0.80.0.2',plain,
% 0.38/0.80 ( product(a1,product(a9,a4)) = a4 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.80.0.1','0.27.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.2','L')]).
% 0.38/0.80 cnf('0.80.1.0',plain,
% 0.38/0.80 ( product(a1,product(a9,a4)) = a4 ),
% 0.38/0.80 inference(weigh,[status(thm)],['0.80.0.2']),
% 0.38/0.80 [weight('<41,34,79,[0,0,0,0]>')]).
% 0.38/0.80 cnf('0.80.2.0',plain,
% 0.38/0.80 ( product(a1,product(a9,a4)) = a4 ),
% 0.38/0.80 inference(orient,[status(thm)],['0.80.1.0',theory(equality)]),
% 0.38/0.80 [u,rule_80]).
% 0.38/0.80 cnf('0.92.0.0',plain,
% 0.38/0.80 ( product(product(a8,X1),a9) = product(a10,product(X1,a9)) ),
% 0.38/0.80 inference(cp,[status(thm)],['0.3.2.0','0.8.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.1','L')]).
% 0.38/0.80 cnf('0.92.1.0',plain,
% 0.38/0.80 ( product(product(a8,X1),a9) = product(a10,product(X1,a9)) ),
% 0.38/0.80 inference(weigh,[status(thm)],['0.92.0.0']),
% 0.38/0.80 [weight('<65,8,3,[0,0,0,1]>')]).
% 0.38/0.80 cnf('0.92.2.0',plain,
% 0.38/0.80 ( product(product(a8,X1),a9) = product(a10,product(X1,a9)) ),
% 0.38/0.80 inference(orient,[status(thm)],['0.92.1.0',theory(equality)]),
% 0.38/0.80 [u,rule_92]).
% 0.38/0.80 cnf('0.93.0.0',plain,
% 0.38/0.80 ( product(a10,product(a4,a9)) = product(a7,a9) ),
% 0.38/0.80 inference(cp,[status(thm)],['0.92.2.0','0.19.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.1','L')]).
% 0.38/0.80 cnf('0.93.0.1',plain,
% 0.38/0.80 ( product(a10,product(a9,a10)) = product(a7,a9) ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.93.0.0','0.29.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.2','L')]).
% 0.38/0.80 cnf('0.93.0.2',plain,
% 0.38/0.80 ( product(a8,a10) = product(a7,a9) ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.93.0.1','0.47.2.0',theory(equality)]),
% 0.38/0.80 [pos('L','L')]).
% 0.38/0.80 cnf('0.93.0.3',plain,
% 0.38/0.80 ( product(a8,a10) = product(a6,a7) ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.93.0.2','0.32.2.0',theory(equality)]),
% 0.38/0.80 [pos('R','L')]).
% 0.38/0.80 cnf('0.93.1.0',plain,
% 0.38/0.80 ( product(a8,a10) = product(a6,a7) ),
% 0.38/0.80 inference(weigh,[status(thm)],['0.93.0.3']),
% 0.38/0.80 [weight('<27,92,19,[1,0,0,1]>')]).
% 0.38/0.80 cnf('0.93.2.0',plain,
% 0.38/0.80 ( product(a8,a10) = product(a6,a7) ),
% 0.38/0.80 inference(orient,[status(thm)],['0.93.1.0',theory(equality)]),
% 0.38/0.80 [u,rule_93]).
% 0.38/0.80 cnf('0.97.0.0',plain,
% 0.38/0.80 ( product(a8,product(a10,a8)) = product(product(a6,a7),a8) ),
% 0.38/0.80 inference(cp,[status(thm)],['0.24.2.0','0.93.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.1','L')]).
% 0.38/0.80 cnf('0.97.0.1',plain,
% 0.38/0.80 ( product(a8,a7) = product(product(a6,a7),a8) ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.97.0.0','0.25.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.2','L')]).
% 0.38/0.80 cnf('0.97.1.0',plain,
% 0.38/0.80 ( product(a8,a7) = product(product(a6,a7),a8) ),
% 0.38/0.80 inference(weigh,[status(thm)],['0.97.0.1']),
% 0.38/0.80 [weight('<53,93,24,[0,0,0,1]>')]).
% 0.38/0.80 cnf('0.97.2.0',plain,
% 0.38/0.80 ( product(product(a6,a7),a8) = product(a8,a7) ),
% 0.38/0.80 inference(orient,[status(thm)],['0.97.1.0',theory(equality)]),
% 0.38/0.80 [x,rule_97]).
% 0.38/0.80 cnf('0.98.0.0',plain,
% 0.38/0.80 ( product(a6,product(a8,a7)) = product(product(a8,a7),a7) ),
% 0.38/0.80 inference(cp,[status(thm)],['0.59.2.0','0.97.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.1','L')]).
% 0.38/0.80 cnf('0.98.0.1',plain,
% 0.38/0.80 ( product(a6,product(a8,a7)) = a8 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.98.0.0','0.2.2.0',theory(equality)]),
% 0.38/0.80 [pos('R','L')]).
% 0.38/0.80 cnf('0.98.1.0',plain,
% 0.38/0.80 ( product(a6,product(a8,a7)) = a8 ),
% 0.38/0.80 inference(weigh,[status(thm)],['0.98.0.1']),
% 0.38/0.80 [weight('<41,97,59,[0,0,0,1]>')]).
% 0.38/0.80 cnf('0.98.2.0',plain,
% 0.38/0.80 ( product(a6,product(a8,a7)) = a8 ),
% 0.38/0.80 inference(orient,[status(thm)],['0.98.1.0',theory(equality)]),
% 0.38/0.80 [u,rule_98]).
% 0.38/0.80 cnf('0.99.0.0',plain,
% 0.38/0.80 ( a6 = product(a8,product(a8,a7)) ),
% 0.38/0.80 inference(cp,[status(thm)],['0.2.2.0','0.98.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.1','L')]).
% 0.38/0.80 cnf('0.99.1.0',plain,
% 0.38/0.80 ( a6 = product(a8,product(a8,a7)) ),
% 0.38/0.80 inference(weigh,[status(thm)],['0.99.0.0']),
% 0.38/0.80 [weight('<41,98,2,[0,0,0,1]>')]).
% 0.38/0.80 cnf('0.99.2.0',plain,
% 0.38/0.80 ( product(a8,product(a8,a7)) = a6 ),
% 0.38/0.80 inference(orient,[status(thm)],['0.99.1.0',theory(equality)]),
% 0.38/0.80 [x,rule_99]).
% 0.38/0.80 cnf('0.101.0.0',plain,
% 0.38/0.80 ( product(a8,product(product(a8,a7),a8)) = product(a6,a8) ),
% 0.38/0.80 inference(cp,[status(thm)],['0.24.2.0','0.99.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.1','L')]).
% 0.38/0.80 cnf('0.101.0.1',plain,
% 0.38/0.80 ( product(a8,product(a8,product(a7,a8))) = product(a6,a8) ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.101.0.0','0.24.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.2','L')]).
% 0.38/0.80 cnf('0.101.0.2',plain,
% 0.38/0.80 ( product(a8,product(a8,a10)) = product(a6,a8) ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.101.0.1','0.26.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.2.2','L')]).
% 0.38/0.80 cnf('0.101.0.3',plain,
% 0.38/0.80 ( product(a8,product(a6,a7)) = product(a6,a8) ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.101.0.2','0.93.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.2','L')]).
% 0.38/0.80 cnf('0.101.1.0',plain,
% 0.38/0.80 ( product(a8,product(a6,a7)) = product(a6,a8) ),
% 0.38/0.80 inference(weigh,[status(thm)],['0.101.0.3']),
% 0.38/0.80 [weight('<53,99,24,[0,0,0,1]>')]).
% 0.38/0.80 cnf('0.101.2.0',plain,
% 0.38/0.80 ( product(a8,product(a6,a7)) = product(a6,a8) ),
% 0.38/0.80 inference(orient,[status(thm)],['0.101.1.0',theory(equality)]),
% 0.38/0.80 [u,rule_101]).
% 0.38/0.80 cnf('0.102.0.0',plain,
% 0.38/0.80 ( product(a10,product(product(a6,a7),a9)) = product(product(a6,a8),a9) ),
% 0.38/0.80 inference(cp,[status(thm)],['0.92.2.0','0.101.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.1','L')]).
% 0.38/0.80 cnf('0.102.0.1',plain,
% 0.38/0.80 ( product(a10,a7) = product(product(a6,a8),a9) ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.102.0.0','0.37.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.2','L')]).
% 0.38/0.80 cnf('0.102.0.2',plain,
% 0.38/0.80 ( product(a10,a7) = product(a5,a8) ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.102.0.1','0.63.2.0',theory(equality)]),
% 0.38/0.80 [pos('R','L')]).
% 0.38/0.80 cnf('0.102.1.0',plain,
% 0.38/0.80 ( product(a10,a7) = product(a5,a8) ),
% 0.38/0.80 inference(weigh,[status(thm)],['0.102.0.2']),
% 0.38/0.80 [weight('<27,101,92,[0,0,0,1]>')]).
% 0.38/0.80 cnf('0.102.2.0',plain,
% 0.38/0.80 ( product(a10,a7) = product(a5,a8) ),
% 0.38/0.80 inference(orient,[status(thm)],['0.102.1.0',theory(equality)]),
% 0.38/0.80 [u,rule_102]).
% 0.38/0.80 cnf('0.103.0.0',plain,
% 0.38/0.80 ( a10 = product(product(a5,a8),a7) ),
% 0.38/0.80 inference(cp,[status(thm)],['0.2.2.0','0.102.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.1','L')]).
% 0.38/0.80 cnf('0.103.1.0',plain,
% 0.38/0.80 ( a10 = product(product(a5,a8),a7) ),
% 0.38/0.80 inference(weigh,[status(thm)],['0.103.0.0']),
% 0.38/0.80 [weight('<41,102,2,[0,0,0,1]>')]).
% 0.38/0.80 cnf('0.103.2.0',plain,
% 0.38/0.80 ( product(product(a5,a8),a7) = a10 ),
% 0.38/0.80 inference(orient,[status(thm)],['0.103.1.0',theory(equality)]),
% 0.38/0.80 [x,rule_103]).
% 0.38/0.80 cnf('0.104.0.0',plain,
% 0.38/0.80 ( product(a5,product(a7,a8)) = product(a10,a8) ),
% 0.38/0.80 inference(cp,[status(thm)],['0.59.2.0','0.103.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.1','L')]).
% 0.38/0.80 cnf('0.104.0.1',plain,
% 0.38/0.80 ( product(a5,a10) = product(a10,a8) ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.104.0.0','0.26.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.2','L')]).
% 0.38/0.80 cnf('0.104.0.2',plain,
% 0.38/0.80 ( a2 = product(a10,a8) ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.104.0.1','0.20.2.0',theory(equality)]),
% 0.38/0.80 [pos('L','L')]).
% 0.38/0.80 cnf('0.104.0.3',plain,
% 0.38/0.80 ( a2 = a7 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.104.0.2','0.25.2.0',theory(equality)]),
% 0.38/0.80 [pos('R','L')]).
% 0.38/0.80 cnf('0.104.1.0',plain,
% 0.38/0.80 ( a2 = a7 ),
% 0.38/0.80 inference(weigh,[status(thm)],['0.104.0.3']),
% 0.38/0.80 [weight('<5,103,59,[0,0,0,1]>')]).
% 0.38/0.80 cnf('0.104.2.0',plain,
% 0.38/0.80 ( a7 = a2 ),
% 0.38/0.80 inference(orient,[status(thm)],['0.104.1.0',theory(equality)]),
% 0.38/0.80 [x,rule_104]).
% 0.38/0.80 cnf('0.105.0.0',plain,
% 0.38/0.80 ( product(a7,a4) = a8 ),
% 0.38/0.80 inference(interreduction_right,[status(thm)],['0.9.2.0'])).
% 0.38/0.80 cnf('0.105.0.1',plain,
% 0.38/0.80 ( product(a2,a4) = a8 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.105.0.0','0.104.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.1','L')]).
% 0.38/0.80 cnf('0.105.0.2',plain,
% 0.38/0.80 ( a3 = a8 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.105.0.1','0.21.2.0',theory(equality)]),
% 0.38/0.80 [pos('L','L')]).
% 0.38/0.80 cnf('0.105.1.0',plain,
% 0.38/0.80 ( a3 = a8 ),
% 0.38/0.80 inference(weigh,[status(thm)],['0.105.0.2']),
% 0.38/0.80 [weight('<5,9,104,[0,0,0,0]>')]).
% 0.38/0.80 cnf('0.105.2.0',plain,
% 0.38/0.80 ( a8 = a3 ),
% 0.38/0.80 inference(orient,[status(thm)],['0.105.1.0',theory(equality)]),
% 0.38/0.80 [x,rule_105]).
% 0.38/0.80 cnf('0.106.0.0',plain,
% 0.38/0.80 ( product(a4,a8) = a9 ),
% 0.38/0.80 inference(interreduction_right,[status(thm)],['0.4.2.0'])).
% 0.38/0.80 cnf('0.106.0.1',plain,
% 0.38/0.80 ( product(a4,a3) = a9 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.106.0.0','0.105.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.2','L')]).
% 0.38/0.80 cnf('0.106.0.2',plain,
% 0.38/0.80 ( a10 = a9 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.106.0.1','0.16.2.0',theory(equality)]),
% 0.38/0.80 [pos('L','L')]).
% 0.38/0.80 cnf('0.106.1.0',plain,
% 0.38/0.80 ( a10 = a9 ),
% 0.38/0.80 inference(weigh,[status(thm)],['0.106.0.2']),
% 0.38/0.80 [weight('<5,4,105,[0,0,0,0]>')]).
% 0.38/0.80 cnf('0.106.2.0',plain,
% 0.38/0.80 ( a10 = a9 ),
% 0.38/0.80 inference(orient,[status(thm)],['0.106.1.0',theory(equality)]),
% 0.38/0.80 [u,rule_106]).
% 0.38/0.80 cnf('0.107.0.0',plain,
% 0.38/0.80 ( product(a1,a7) = a9 ),
% 0.38/0.80 inference(interreduction_right,[status(thm)],['0.17.2.0'])).
% 0.38/0.80 cnf('0.107.0.1',plain,
% 0.38/0.80 ( product(a1,a2) = a9 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.107.0.0','0.104.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.2','L')]).
% 0.38/0.80 cnf('0.107.0.2',plain,
% 0.38/0.80 ( a3 = a9 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.107.0.1','0.5.2.0',theory(equality)]),
% 0.38/0.80 [pos('L','L')]).
% 0.38/0.80 cnf('0.107.1.0',plain,
% 0.38/0.80 ( a3 = a9 ),
% 0.38/0.80 inference(weigh,[status(thm)],['0.107.0.2']),
% 0.38/0.80 [weight('<5,17,104,[0,0,0,0]>')]).
% 0.38/0.80 cnf('0.107.2.0',plain,
% 0.38/0.80 ( a9 = a3 ),
% 0.38/0.80 inference(orient,[status(thm)],['0.107.1.0',theory(equality)]),
% 0.38/0.80 [x,rule_107]).
% 0.38/0.80 cnf('0.108.0.0',plain,
% 0.38/0.80 ( product(a1,product(a10,a4)) = a2 ),
% 0.38/0.80 inference(interreduction_right,[status(thm)],['0.38.2.0'])).
% 0.38/0.80 cnf('0.108.0.1',plain,
% 0.38/0.80 ( product(a1,product(a9,a4)) = a2 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.108.0.0','0.106.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.2.1','L')]).
% 0.38/0.80 cnf('0.108.0.2',plain,
% 0.38/0.80 ( a4 = a2 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.108.0.1','0.80.2.0',theory(equality)]),
% 0.38/0.80 [pos('L','L')]).
% 0.38/0.80 cnf('0.108.1.0',plain,
% 0.38/0.80 ( a4 = a2 ),
% 0.38/0.80 inference(weigh,[status(thm)],['0.108.0.2']),
% 0.38/0.80 [weight('<5,38,106,[0,0,0,0]>')]).
% 0.38/0.80 cnf('0.108.2.0',plain,
% 0.38/0.80 ( a4 = a2 ),
% 0.38/0.80 inference(orient,[status(thm)],['0.108.1.0',theory(equality)]),
% 0.38/0.80 [u,rule_108]).
% 0.38/0.80 cnf('0.109.0.0',plain,
% 0.38/0.80 ( product(a3,a4) = a2 ),
% 0.38/0.80 inference(interreduction_right,[status(thm)],['0.11.2.0'])).
% 0.38/0.80 cnf('0.109.0.1',plain,
% 0.38/0.80 ( product(a3,a2) = a2 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.109.0.0','0.108.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.2','L')]).
% 0.38/0.80 cnf('0.109.0.2',plain,
% 0.38/0.80 ( a1 = a2 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.109.0.1','0.15.2.0',theory(equality)]),
% 0.38/0.80 [pos('L','L')]).
% 0.38/0.80 cnf('0.109.1.0',plain,
% 0.38/0.80 ( a1 = a2 ),
% 0.38/0.80 inference(weigh,[status(thm)],['0.109.0.2']),
% 0.38/0.80 [weight('<5,11,108,[0,0,0,0]>')]).
% 0.38/0.80 cnf('0.109.2.0',plain,
% 0.38/0.80 ( a1 = a2 ),
% 0.38/0.80 inference(orient,[status(thm)],['0.109.1.0',theory(equality)]),
% 0.38/0.80 [u,rule_109]).
% 0.38/0.80 cnf('0.111.0.0',plain,
% 0.38/0.80 ( product(a1,a2) = a3 ),
% 0.38/0.80 inference(interreduction_right,[status(thm)],['0.5.2.0'])).
% 0.38/0.80 cnf('0.111.0.1',plain,
% 0.38/0.80 ( product(a2,a2) = a3 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.111.0.0','0.109.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.1','L')]).
% 0.38/0.80 cnf('0.111.0.2',plain,
% 0.38/0.80 ( a2 = a3 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.111.0.1','0.1.2.0',theory(equality)]),
% 0.38/0.80 [pos('L','L')]).
% 0.38/0.80 cnf('0.111.1.0',plain,
% 0.38/0.80 ( a2 = a3 ),
% 0.38/0.80 inference(weigh,[status(thm)],['0.111.0.2']),
% 0.38/0.80 [weight('<5,5,109,[0,0,0,0]>')]).
% 0.38/0.80 cnf('0.111.2.0',plain,
% 0.38/0.80 ( a2 = a3 ),
% 0.38/0.80 inference(orient,[status(thm)],['0.111.1.0',theory(equality)]),
% 0.38/0.80 [u,rule_111]).
% 0.38/0.80 cnf('0.112.0.0',plain,
% 0.38/0.80 ( product(a1,product(a9,a4)) = a4 ),
% 0.38/0.80 inference(interreduction_right,[status(thm)],['0.80.2.0'])).
% 0.38/0.80 cnf('0.112.0.1',plain,
% 0.38/0.80 ( product(a1,product(a3,a4)) = a4 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.112.0.0','0.107.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.2.1','L')]).
% 0.38/0.80 cnf('0.112.0.2',plain,
% 0.38/0.80 ( product(a1,a2) = a4 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.112.0.1','0.11.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.2','L')]).
% 0.38/0.80 cnf('0.112.0.3',plain,
% 0.38/0.80 ( a3 = a4 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.112.0.2','0.5.2.0',theory(equality)]),
% 0.38/0.80 [pos('L','L')]).
% 0.38/0.80 cnf('0.112.1.0',plain,
% 0.38/0.80 ( a3 = a4 ),
% 0.38/0.80 inference(weigh,[status(thm)],['0.112.0.3']),
% 0.38/0.80 [weight('<5,80,107,[0,0,0,0]>')]).
% 0.38/0.80 cnf('0.112.2.0',plain,
% 0.38/0.80 ( a4 = a3 ),
% 0.38/0.80 inference(orient,[status(thm)],['0.112.1.0',theory(equality)]),
% 0.38/0.80 [x,rule_112]).
% 0.38/0.80 cnf('0.113.0.0',plain,
% 0.38/0.80 ( a7 = a2 ),
% 0.38/0.80 inference(interreduction_right,[status(thm)],['0.104.2.0'])).
% 0.38/0.80 cnf('0.113.0.1',plain,
% 0.38/0.80 ( a7 = a3 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.113.0.0','0.111.2.0',theory(equality)]),
% 0.38/0.80 [pos('R','L')]).
% 0.38/0.80 cnf('0.113.1.0',plain,
% 0.38/0.80 ( a7 = a3 ),
% 0.38/0.80 inference(weigh,[status(thm)],['0.113.0.1']),
% 0.38/0.80 [weight('<5,104,111,[0,0,0,0]>')]).
% 0.38/0.80 cnf('0.113.2.0',plain,
% 0.38/0.80 ( a7 = a3 ),
% 0.38/0.80 inference(orient,[status(thm)],['0.113.1.0',theory(equality)]),
% 0.38/0.80 [u,rule_113]).
% 0.38/0.80 cnf('0.114.0.0',plain,
% 0.38/0.80 ( a10 = a9 ),
% 0.38/0.80 inference(interreduction_right,[status(thm)],['0.106.2.0'])).
% 0.38/0.80 cnf('0.114.0.1',plain,
% 0.38/0.80 ( a10 = a3 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.114.0.0','0.107.2.0',theory(equality)]),
% 0.38/0.80 [pos('R','L')]).
% 0.38/0.80 cnf('0.114.1.0',plain,
% 0.38/0.80 ( a10 = a3 ),
% 0.38/0.80 inference(weigh,[status(thm)],['0.114.0.1']),
% 0.38/0.80 [weight('<5,106,107,[0,0,0,0]>')]).
% 0.38/0.80 cnf('0.114.2.0',plain,
% 0.38/0.80 ( a10 = a3 ),
% 0.38/0.80 inference(orient,[status(thm)],['0.114.1.0',theory(equality)]),
% 0.38/0.80 [u,rule_114]).
% 0.38/0.80 cnf('0.115.0.0',plain,
% 0.38/0.80 ( a1 = a2 ),
% 0.38/0.80 inference(interreduction_right,[status(thm)],['0.109.2.0'])).
% 0.38/0.80 cnf('0.115.0.1',plain,
% 0.38/0.80 ( a1 = a3 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.115.0.0','0.111.2.0',theory(equality)]),
% 0.38/0.80 [pos('R','L')]).
% 0.38/0.80 cnf('0.115.1.0',plain,
% 0.38/0.80 ( a1 = a3 ),
% 0.38/0.80 inference(weigh,[status(thm)],['0.115.0.1']),
% 0.38/0.80 [weight('<5,109,111,[0,0,0,0]>')]).
% 0.38/0.80 cnf('0.115.2.0',plain,
% 0.38/0.80 ( a1 = a3 ),
% 0.38/0.80 inference(orient,[status(thm)],['0.115.1.0',theory(equality)]),
% 0.38/0.80 [u,rule_115]).
% 0.38/0.80 cnf('0.116.0.0',plain,
% 0.38/0.80 ( product(a2,a10) = a5 ),
% 0.38/0.80 inference(interreduction_right,[status(thm)],['0.10.2.0'])).
% 0.38/0.80 cnf('0.116.0.1',plain,
% 0.38/0.80 ( product(a2,a9) = a5 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.116.0.0','0.106.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.2','L')]).
% 0.38/0.80 cnf('0.116.1.0',plain,
% 0.38/0.80 ( product(a2,a9) = a5 ),
% 0.38/0.80 inference(weigh,[status(thm)],['0.116.0.1']),
% 0.38/0.80 [weight('<19,10,106,[0,0,0,0]>')]).
% 0.38/0.80 cnf('0.116.1.1',plain,
% 0.38/0.80 ( product(a3,a9) = a5 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.116.1.0','0.111.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.1','L')]).
% 0.38/0.80 cnf('0.116.1.2',plain,
% 0.38/0.80 ( product(a3,a3) = a5 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.116.1.1','0.107.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.2','L')]).
% 0.38/0.80 cnf('0.116.1.3',plain,
% 0.38/0.80 ( a3 = a5 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.116.1.2','0.1.2.0',theory(equality)]),
% 0.38/0.80 [pos('L','L')]).
% 0.38/0.80 cnf('0.116.2.0',plain,
% 0.38/0.80 ( a3 = a5 ),
% 0.38/0.80 inference(orient,[status(thm)],['0.116.1.3',theory(equality)]),
% 0.38/0.80 [u,rule_116]).
% 0.38/0.80 cnf('0.117.0.0',plain,
% 0.38/0.80 ( a8 = a3 ),
% 0.38/0.80 inference(interreduction_right,[status(thm)],['0.105.2.0'])).
% 0.38/0.80 cnf('0.117.0.1',plain,
% 0.38/0.80 ( a8 = a5 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.117.0.0','0.116.2.0',theory(equality)]),
% 0.38/0.80 [pos('R','L')]).
% 0.38/0.80 cnf('0.117.1.0',plain,
% 0.38/0.80 ( a8 = a5 ),
% 0.38/0.80 inference(weigh,[status(thm)],['0.117.0.1']),
% 0.38/0.80 [weight('<5,105,116,[0,0,0,0]>')]).
% 0.38/0.80 cnf('0.117.2.0',plain,
% 0.38/0.80 ( a8 = a5 ),
% 0.38/0.80 inference(orient,[status(thm)],['0.117.1.0',theory(equality)]),
% 0.38/0.80 [u,rule_117]).
% 0.38/0.80 cnf('0.118.0.0',plain,
% 0.38/0.80 ( a9 = a3 ),
% 0.38/0.80 inference(interreduction_right,[status(thm)],['0.107.2.0'])).
% 0.38/0.80 cnf('0.118.0.1',plain,
% 0.38/0.80 ( a9 = a5 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.118.0.0','0.116.2.0',theory(equality)]),
% 0.38/0.80 [pos('R','L')]).
% 0.38/0.80 cnf('0.118.1.0',plain,
% 0.38/0.80 ( a9 = a5 ),
% 0.38/0.80 inference(weigh,[status(thm)],['0.118.0.1']),
% 0.38/0.80 [weight('<5,107,116,[0,0,0,0]>')]).
% 0.38/0.80 cnf('0.118.2.0',plain,
% 0.38/0.80 ( a9 = a5 ),
% 0.38/0.80 inference(orient,[status(thm)],['0.118.1.0',theory(equality)]),
% 0.38/0.80 [u,rule_118]).
% 0.38/0.80 cnf('0.119.0.0',plain,
% 0.38/0.80 ( a2 = a3 ),
% 0.38/0.80 inference(interreduction_right,[status(thm)],['0.111.2.0'])).
% 0.38/0.80 cnf('0.119.0.1',plain,
% 0.38/0.80 ( a2 = a5 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.119.0.0','0.116.2.0',theory(equality)]),
% 0.38/0.80 [pos('R','L')]).
% 0.38/0.80 cnf('0.119.1.0',plain,
% 0.38/0.80 ( a2 = a5 ),
% 0.38/0.80 inference(weigh,[status(thm)],['0.119.0.1']),
% 0.38/0.80 [weight('<5,111,116,[0,0,0,0]>')]).
% 0.38/0.80 cnf('0.119.2.0',plain,
% 0.38/0.80 ( a2 = a5 ),
% 0.38/0.80 inference(orient,[status(thm)],['0.119.1.0',theory(equality)]),
% 0.38/0.80 [u,rule_119]).
% 0.38/0.80 cnf('0.120.0.0',plain,
% 0.38/0.80 ( a4 = a3 ),
% 0.38/0.80 inference(interreduction_right,[status(thm)],['0.112.2.0'])).
% 0.38/0.80 cnf('0.120.0.1',plain,
% 0.38/0.80 ( a4 = a5 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.120.0.0','0.116.2.0',theory(equality)]),
% 0.38/0.80 [pos('R','L')]).
% 0.38/0.80 cnf('0.120.1.0',plain,
% 0.38/0.80 ( a4 = a5 ),
% 0.38/0.80 inference(weigh,[status(thm)],['0.120.0.1']),
% 0.38/0.80 [weight('<5,112,116,[0,0,0,0]>')]).
% 0.38/0.80 cnf('0.120.2.0',plain,
% 0.38/0.80 ( a4 = a5 ),
% 0.38/0.80 inference(orient,[status(thm)],['0.120.1.0',theory(equality)]),
% 0.38/0.80 [u,rule_120]).
% 0.38/0.80 cnf('0.121.0.0',plain,
% 0.38/0.80 ( a7 = a3 ),
% 0.38/0.80 inference(interreduction_right,[status(thm)],['0.113.2.0'])).
% 0.38/0.80 cnf('0.121.0.1',plain,
% 0.38/0.80 ( a7 = a5 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.121.0.0','0.116.2.0',theory(equality)]),
% 0.38/0.80 [pos('R','L')]).
% 0.38/0.80 cnf('0.121.1.0',plain,
% 0.38/0.80 ( a7 = a5 ),
% 0.38/0.80 inference(weigh,[status(thm)],['0.121.0.1']),
% 0.38/0.80 [weight('<5,113,116,[0,0,0,0]>')]).
% 0.38/0.80 cnf('0.121.2.0',plain,
% 0.38/0.80 ( a7 = a5 ),
% 0.38/0.80 inference(orient,[status(thm)],['0.121.1.0',theory(equality)]),
% 0.38/0.80 [u,rule_121]).
% 0.38/0.80 cnf('0.122.0.0',plain,
% 0.38/0.80 ( a10 = a3 ),
% 0.38/0.80 inference(interreduction_right,[status(thm)],['0.114.2.0'])).
% 0.38/0.80 cnf('0.122.0.1',plain,
% 0.38/0.80 ( a10 = a5 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.122.0.0','0.116.2.0',theory(equality)]),
% 0.38/0.80 [pos('R','L')]).
% 0.38/0.80 cnf('0.122.1.0',plain,
% 0.38/0.80 ( a10 = a5 ),
% 0.38/0.80 inference(weigh,[status(thm)],['0.122.0.1']),
% 0.38/0.80 [weight('<5,114,116,[0,0,0,0]>')]).
% 0.38/0.80 cnf('0.122.2.0',plain,
% 0.38/0.80 ( a10 = a5 ),
% 0.38/0.80 inference(orient,[status(thm)],['0.122.1.0',theory(equality)]),
% 0.38/0.80 [u,rule_122]).
% 0.38/0.80 cnf('0.123.0.0',plain,
% 0.38/0.80 ( a1 = a3 ),
% 0.38/0.80 inference(interreduction_right,[status(thm)],['0.115.2.0'])).
% 0.38/0.80 cnf('0.123.0.1',plain,
% 0.38/0.80 ( a1 = a5 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.123.0.0','0.116.2.0',theory(equality)]),
% 0.38/0.80 [pos('R','L')]).
% 0.38/0.80 cnf('0.123.1.0',plain,
% 0.38/0.80 ( a1 = a5 ),
% 0.38/0.80 inference(weigh,[status(thm)],['0.123.0.1']),
% 0.38/0.80 [weight('<5,115,116,[0,0,0,0]>')]).
% 0.38/0.80 cnf('0.123.2.0',plain,
% 0.38/0.80 ( a1 = a5 ),
% 0.38/0.80 inference(orient,[status(thm)],['0.123.1.0',theory(equality)]),
% 0.38/0.80 [u,rule_123]).
% 0.38/0.80 cnf('0.124.0.0',plain,
% 0.38/0.80 ( product(a6,a1) = a7 ),
% 0.38/0.80 inference(interreduction_right,[status(thm)],['0.12.2.0'])).
% 0.38/0.80 cnf('0.124.0.1',plain,
% 0.38/0.80 ( product(a6,a1) = a2 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.124.0.0','0.104.2.0',theory(equality)]),
% 0.38/0.80 [pos('R','L')]).
% 0.38/0.80 cnf('0.124.1.0',plain,
% 0.38/0.80 ( product(a6,a1) = a2 ),
% 0.38/0.80 inference(weigh,[status(thm)],['0.124.0.1']),
% 0.38/0.80 [weight('<19,12,104,[0,0,0,0]>')]).
% 0.38/0.80 cnf('0.124.1.1',plain,
% 0.38/0.80 ( product(a6,a5) = a2 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.124.1.0','0.123.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.2','L')]).
% 0.38/0.80 cnf('0.124.1.2',plain,
% 0.38/0.80 ( product(a6,a5) = a5 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.124.1.1','0.119.2.0',theory(equality)]),
% 0.38/0.80 [pos('R','L')]).
% 0.38/0.80 cnf('0.124.2.0',plain,
% 0.38/0.80 ( product(a6,a5) = a5 ),
% 0.38/0.80 inference(orient,[status(thm)],['0.124.1.2',theory(equality)]),
% 0.38/0.80 [u,rule_124]).
% 0.38/0.80 cnf('0.125.0.0',plain,
% 0.38/0.80 ( a6 = product(a5,a5) ),
% 0.38/0.80 inference(cp,[status(thm)],['0.2.2.0','0.124.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.1','L')]).
% 0.38/0.80 cnf('0.125.0.1',plain,
% 0.38/0.80 ( a6 = a5 ),
% 0.38/0.80 inference(reduction,[status(thm)],['0.125.0.0','0.1.2.0',theory(equality)]),
% 0.38/0.80 [pos('R','L')]).
% 0.38/0.80 cnf('0.125.1.0',plain,
% 0.38/0.80 ( a6 = a5 ),
% 0.38/0.80 inference(weigh,[status(thm)],['0.125.0.1']),
% 0.38/0.80 [weight('<5,124,2,[0,0,0,1]>')]).
% 0.38/0.80 cnf('0.125.2.0',plain,
% 0.38/0.80 ( a6 = a5 ),
% 0.38/0.80 inference(orient,[status(thm)],['0.125.1.0',theory(equality)]),
% 0.38/0.80 [u,rule_125]).
% 0.38/0.80 cnf('1.0.0.0',conjecture,
% 0.38/0.80 ( tuple(a1,a9,a8,a6,a7,a2,a3,a4,a5) = tuple(a2,a10,a9,a7,a8,a3,a4,a5,a6) ),
% 0.38/0.80 file('/tmp/WALDMEISTER_19875_n029',conjecture_1)).
% 0.38/0.80 cnf('1.0.0.1',plain,
% 0.38/0.80 ( tuple(a5,a9,a8,a6,a7,a2,a3,a4,a5) = tuple(a2,a10,a9,a7,a8,a3,a4,a5,a6) ),
% 0.38/0.80 inference(reduction,[status(thm)],['1.0.0.0','0.123.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.1','L')]).
% 0.38/0.80 cnf('1.0.0.2',plain,
% 0.38/0.80 ( tuple(a5,a5,a8,a6,a7,a2,a3,a4,a5) = tuple(a2,a10,a9,a7,a8,a3,a4,a5,a6) ),
% 0.38/0.80 inference(reduction,[status(thm)],['1.0.0.1','0.118.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.2','L')]).
% 0.38/0.80 cnf('1.0.0.3',plain,
% 0.38/0.80 ( tuple(a5,a5,a5,a6,a7,a2,a3,a4,a5) = tuple(a2,a10,a9,a7,a8,a3,a4,a5,a6) ),
% 0.38/0.80 inference(reduction,[status(thm)],['1.0.0.2','0.117.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.3','L')]).
% 0.38/0.80 cnf('1.0.0.4',plain,
% 0.38/0.80 ( tuple(a5,a5,a5,a5,a7,a2,a3,a4,a5) = tuple(a2,a10,a9,a7,a8,a3,a4,a5,a6) ),
% 0.38/0.80 inference(reduction,[status(thm)],['1.0.0.3','0.125.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.4','L')]).
% 0.38/0.80 cnf('1.0.0.5',plain,
% 0.38/0.80 ( tuple(a5,a5,a5,a5,a5,a2,a3,a4,a5) = tuple(a2,a10,a9,a7,a8,a3,a4,a5,a6) ),
% 0.38/0.80 inference(reduction,[status(thm)],['1.0.0.4','0.121.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.5','L')]).
% 0.38/0.80 cnf('1.0.0.6',plain,
% 0.38/0.80 ( tuple(a5,a5,a5,a5,a5,a5,a3,a4,a5) = tuple(a2,a10,a9,a7,a8,a3,a4,a5,a6) ),
% 0.38/0.80 inference(reduction,[status(thm)],['1.0.0.5','0.119.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.6','L')]).
% 0.38/0.80 cnf('1.0.0.7',plain,
% 0.38/0.80 ( tuple(a5,a5,a5,a5,a5,a5,a5,a4,a5) = tuple(a2,a10,a9,a7,a8,a3,a4,a5,a6) ),
% 0.38/0.80 inference(reduction,[status(thm)],['1.0.0.6','0.116.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.7','L')]).
% 0.38/0.80 cnf('1.0.0.8',plain,
% 0.38/0.80 ( tuple(a5,a5,a5,a5,a5,a5,a5,a5,a5) = tuple(a2,a10,a9,a7,a8,a3,a4,a5,a6) ),
% 0.38/0.80 inference(reduction,[status(thm)],['1.0.0.7','0.120.2.0',theory(equality)]),
% 0.38/0.80 [pos('L.8','L')]).
% 0.38/0.80 cnf('1.0.0.9',plain,
% 0.38/0.80 ( tuple(a5,a5,a5,a5,a5,a5,a5,a5,a5) = tuple(a5,a10,a9,a7,a8,a3,a4,a5,a6) ),
% 0.38/0.80 inference(reduction,[status(thm)],['1.0.0.8','0.119.2.0',theory(equality)]),
% 0.38/0.80 [pos('R.1','L')]).
% 0.38/0.80 cnf('1.0.0.10',plain,
% 0.38/0.80 ( tuple(a5,a5,a5,a5,a5,a5,a5,a5,a5) = tuple(a5,a5,a9,a7,a8,a3,a4,a5,a6) ),
% 0.38/0.80 inference(reduction,[status(thm)],['1.0.0.9','0.122.2.0',theory(equality)]),
% 0.38/0.80 [pos('R.2','L')]).
% 0.38/0.80 cnf('1.0.0.11',plain,
% 0.38/0.80 ( tuple(a5,a5,a5,a5,a5,a5,a5,a5,a5) = tuple(a5,a5,a5,a7,a8,a3,a4,a5,a6) ),
% 0.38/0.80 inference(reduction,[status(thm)],['1.0.0.10','0.118.2.0',theory(equality)]),
% 0.38/0.80 [pos('R.3','L')]).
% 0.38/0.80 cnf('1.0.0.12',plain,
% 0.38/0.80 ( tuple(a5,a5,a5,a5,a5,a5,a5,a5,a5) = tuple(a5,a5,a5,a5,a8,a3,a4,a5,a6) ),
% 0.38/0.80 inference(reduction,[status(thm)],['1.0.0.11','0.121.2.0',theory(equality)]),
% 0.38/0.80 [pos('R.4','L')]).
% 0.38/0.80 cnf('1.0.0.13',plain,
% 0.38/0.80 ( tuple(a5,a5,a5,a5,a5,a5,a5,a5,a5) = tuple(a5,a5,a5,a5,a5,a3,a4,a5,a6) ),
% 0.38/0.80 inference(reduction,[status(thm)],['1.0.0.12','0.117.2.0',theory(equality)]),
% 0.38/0.80 [pos('R.5','L')]).
% 0.38/0.80 cnf('1.0.0.14',plain,
% 0.38/0.80 ( tuple(a5,a5,a5,a5,a5,a5,a5,a5,a5) = tuple(a5,a5,a5,a5,a5,a5,a4,a5,a6) ),
% 0.38/0.80 inference(reduction,[status(thm)],['1.0.0.13','0.116.2.0',theory(equality)]),
% 0.38/0.80 [pos('R.6','L')]).
% 0.38/0.80 cnf('1.0.0.15',plain,
% 0.38/0.80 ( tuple(a5,a5,a5,a5,a5,a5,a5,a5,a5) = tuple(a5,a5,a5,a5,a5,a5,a5,a5,a6) ),
% 0.38/0.80 inference(reduction,[status(thm)],['1.0.0.14','0.120.2.0',theory(equality)]),
% 0.38/0.80 [pos('R.7','L')]).
% 0.38/0.80 cnf('1.0.0.16',plain,
% 0.38/0.80 ( tuple(a5,a5,a5,a5,a5,a5,a5,a5,a5) = tuple(a5,a5,a5,a5,a5,a5,a5,a5,a5) ),
% 0.38/0.80 inference(reduction,[status(thm)],['1.0.0.15','0.125.2.0',theory(equality)]),
% 0.38/0.80 [pos('R.9','L')]).
% 0.38/0.80 cnf('1.0.0.17',plain,
% 0.38/0.80 ( $true ),
% 0.38/0.80 inference(trivial,[status(thm)],['1.0.0.16',theory(equality)]),
% 0.38/0.80 [conjecture_1]).
% 0.38/0.80
% 0.38/0.80 Proved Goals:
% 0.38/0.80 No. 1: tuple(a1,a9,a8,a6,a7,a2,a3,a4,a5) ?= tuple(a2,a10,a9,a7,a8,a3,a4,a5,a6) joined, current: tuple(a5,a5,a5,a5,a5,a5,a5,a5,a5) = tuple(a5,a5,a5,a5,a5,a5,a5,a5,a5)
% 0.38/0.80 1 goal was specified, which was proved.
% 0.38/0.80 % SZS output end CNFRefutation
% 0.38/0.80 #END OF PROOF
% 0.38/0.80
% 0.38/0.80 Problem WALDMEISTER_19875_n029
% 0.38/0.80 CPs.gen 690
% 0.38/0.80 CPs.reexp 0
% 0.38/0.80 Select 146
% 0.38/0.80 R 125
% 0.38/0.80 E 0
% 0.38/0.80 vsize 7.1M
% 0.38/0.80 rss 4.5M
% 0.38/0.80 process.time 0.017s
% 0.38/0.80 wallclock.time 0.017s
% 0.38/0.80 status S
% 0.38/0.80
% 0.38/0.80
% 0.38/0.80 Waldmeister states: Goal proved.
% 0.38/0.80 % SZS status Unsatisfiable
%------------------------------------------------------------------------------