%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP002-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n016.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 : Sat Jul 16 12:23:59 EDT 2022
% Result : Unsatisfiable 1.39s 1.77s
% Output : CNFRefutation 1.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP002-10 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.12 % Command : woody %s
% 0.11/0.33 % Computer : n016.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jun 13 17:56:59 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.58/0.96 ********************************************************************************
% 0.58/0.96 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.96 * |/ | \/ | *
% 0.58/0.96 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.96 * A. Jaeger and B. Loechner | | *
% 0.58/0.96 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.96 ********************************************************************************
% 0.58/0.96
% 0.58/0.96
% 0.58/0.96 Goals:
% 0.58/0.96 ------
% 0.58/0.96
% 0.58/0.96 ( 1) true ?=? product(k,inverse(b),identity)
% 0.58/0.96
% 0.58/0.96 Detected structure: Orkus
% 0.58/0.96 ********************************************************************************
% 0.58/0.96 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.96 ********************************************************************************
% 0.58/0.96
% 1.39/1.77 joined goal: 1 true ?= product(k,inverse(b),identity) to true
% 1.39/1.77 goal joined
% 1.39/1.77 % SZS status Unsatisfiable
% 1.39/1.77 #START OF PROOF
% 1.39/1.77 % SZS output start CNFRefutation
% 1.39/1.77 cnf('0.1.0.0',axiom,
% 1.39/1.77 ( X1 = ifeq(X2,X2,X1,X3) ),
% 1.39/1.77 file('/tmp/WALDMEISTER_22392_n016')).
% 1.39/1.77 cnf('0.1.1.0',plain,
% 1.39/1.77 ( X1 = ifeq(X2,X2,X1,X3) ),
% 1.39/1.77 inference(weigh,[status(thm)],['0.1.0.0']),
% 1.39/1.77 [weight('<0,0,0,[0,0,0,1]>')]).
% 1.39/1.77 cnf('0.1.2.0',plain,
% 1.39/1.77 ( ifeq(X1,X1,X2,X3) = X2 ),
% 1.39/1.77 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 1.39/1.77 [x,rule_1]).
% 1.39/1.77 cnf('0.2.0.0',axiom,
% 1.39/1.77 ( X1 = ifeq2(X2,X2,X1,X3) ),
% 1.39/1.77 file('/tmp/WALDMEISTER_22392_n016')).
% 1.39/1.77 cnf('0.2.1.0',plain,
% 1.39/1.77 ( X1 = ifeq2(X2,X2,X1,X3) ),
% 1.39/1.77 inference(weigh,[status(thm)],['0.2.0.0']),
% 1.39/1.77 [weight('<1,0,0,[0,0,0,2]>')]).
% 1.39/1.77 cnf('0.2.2.0',plain,
% 1.39/1.77 ( ifeq2(X1,X1,X2,X3) = X2 ),
% 1.39/1.77 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 1.39/1.77 [x,rule_2]).
% 1.39/1.77 cnf('0.3.0.0',axiom,
% 1.39/1.77 ( X1 = ifeq2(product(X2,X3,X1),true,ifeq2(product(X2,X3,X4),true,X4,X1),X1) ),
% 1.39/1.77 file('/tmp/WALDMEISTER_22392_n016')).
% 1.39/1.77 cnf('0.3.1.0',plain,
% 1.39/1.77 ( X1 = ifeq2(product(X2,X3,X1),true,ifeq2(product(X2,X3,X4),true,X4,X1),X1) ),
% 1.39/1.77 inference(weigh,[status(thm)],['0.3.0.0']),
% 1.39/1.77 [weight('<2,0,0,[0,0,0,3]>')]).
% 1.39/1.77 cnf('0.3.2.0',plain,
% 1.39/1.77 ( ifeq2(product(X1,X2,X3),true,ifeq2(product(X1,X2,X4),true,X4,X3),X3) = X3 ),
% 1.39/1.77 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 1.39/1.77 [x,rule_3]).
% 1.39/1.77 cnf('0.4.0.0',axiom,
% 1.39/1.77 ( true = product(X1,X2,multiply(X1,X2)) ),
% 1.39/1.77 file('/tmp/WALDMEISTER_22392_n016')).
% 1.39/1.77 cnf('0.4.1.0',plain,
% 1.39/1.77 ( true = product(X1,X2,multiply(X1,X2)) ),
% 1.39/1.77 inference(weigh,[status(thm)],['0.4.0.0']),
% 1.39/1.77 [weight('<3,0,0,[0,0,0,4]>')]).
% 1.39/1.77 cnf('0.4.2.0',plain,
% 1.39/1.77 ( product(X1,X2,multiply(X1,X2)) = true ),
% 1.39/1.77 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 1.39/1.77 [x,rule_4]).
% 1.39/1.77 cnf('0.5.0.0',axiom,
% 1.39/1.77 ( true = product(X1,identity,X1) ),
% 1.39/1.77 file('/tmp/WALDMEISTER_22392_n016')).
% 1.39/1.77 cnf('0.5.1.0',plain,
% 1.39/1.77 ( true = product(X1,identity,X1) ),
% 1.39/1.77 inference(weigh,[status(thm)],['0.5.0.0']),
% 1.39/1.77 [weight('<4,0,0,[0,0,0,5]>')]).
% 1.39/1.77 cnf('0.5.2.0',plain,
% 1.39/1.77 ( product(X1,identity,X1) = true ),
% 1.39/1.77 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 1.39/1.77 [x,rule_5]).
% 1.39/1.77 cnf('0.6.0.0',axiom,
% 1.39/1.77 ( true = product(X1,inverse(X1),identity) ),
% 1.39/1.77 file('/tmp/WALDMEISTER_22392_n016')).
% 1.39/1.77 cnf('0.6.1.0',plain,
% 1.39/1.77 ( true = product(X1,inverse(X1),identity) ),
% 1.39/1.77 inference(weigh,[status(thm)],['0.6.0.0']),
% 1.39/1.77 [weight('<5,0,0,[0,0,0,6]>')]).
% 1.39/1.77 cnf('0.6.2.0',plain,
% 1.39/1.77 ( product(X1,inverse(X1),identity) = true ),
% 1.39/1.77 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 1.39/1.77 [x,rule_6]).
% 1.39/1.77 cnf('0.7.0.0',axiom,
% 1.39/1.77 ( true = product(identity,X1,X1) ),
% 1.39/1.77 file('/tmp/WALDMEISTER_22392_n016')).
% 1.39/1.77 cnf('0.7.1.0',plain,
% 1.39/1.77 ( true = product(identity,X1,X1) ),
% 1.39/1.77 inference(weigh,[status(thm)],['0.7.0.0']),
% 1.39/1.77 [weight('<6,0,0,[0,0,0,7]>')]).
% 1.39/1.77 cnf('0.7.2.0',plain,
% 1.39/1.77 ( product(identity,X1,X1) = true ),
% 1.39/1.77 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 1.39/1.77 [x,rule_7]).
% 1.39/1.77 cnf('0.9.0.0',axiom,
% 1.39/1.77 ( true = product(h,b,j) ),
% 1.39/1.77 file('/tmp/WALDMEISTER_22392_n016')).
% 1.39/1.77 cnf('0.9.1.0',plain,
% 1.39/1.77 ( true = product(h,b,j) ),
% 1.39/1.77 inference(weigh,[status(thm)],['0.9.0.0']),
% 1.39/1.77 [weight('<8,0,0,[0,0,0,9]>')]).
% 1.39/1.77 cnf('0.9.2.0',plain,
% 1.39/1.77 ( product(h,b,j) = true ),
% 1.39/1.77 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 1.39/1.77 [x,rule_9]).
% 1.39/1.77 cnf('0.10.0.0',axiom,
% 1.39/1.78 ( true = product(c,inverse(a),d) ),
% 1.39/1.78 file('/tmp/WALDMEISTER_22392_n016')).
% 1.39/1.78 cnf('0.10.1.0',plain,
% 1.39/1.78 ( true = product(c,inverse(a),d) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.10.0.0']),
% 1.39/1.78 [weight('<9,0,0,[0,0,0,10]>')]).
% 1.39/1.78 cnf('0.10.2.0',plain,
% 1.39/1.78 ( product(c,inverse(a),d) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_10]).
% 1.39/1.78 cnf('0.11.0.0',axiom,
% 1.39/1.78 ( true = product(j,inverse(h),k) ),
% 1.39/1.78 file('/tmp/WALDMEISTER_22392_n016')).
% 1.39/1.78 cnf('0.11.1.0',plain,
% 1.39/1.78 ( true = product(j,inverse(h),k) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.11.0.0']),
% 1.39/1.78 [weight('<10,0,0,[0,0,0,11]>')]).
% 1.39/1.78 cnf('0.11.2.0',plain,
% 1.39/1.78 ( product(j,inverse(h),k) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_11]).
% 1.39/1.78 cnf('0.12.0.0',axiom,
% 1.39/1.78 ( true = product(d,inverse(b),h) ),
% 1.39/1.78 file('/tmp/WALDMEISTER_22392_n016')).
% 1.39/1.78 cnf('0.12.1.0',plain,
% 1.39/1.78 ( true = product(d,inverse(b),h) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.12.0.0']),
% 1.39/1.78 [weight('<11,0,0,[0,0,0,12]>')]).
% 1.39/1.78 cnf('0.12.2.0',plain,
% 1.39/1.78 ( product(d,inverse(b),h) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_12]).
% 1.39/1.78 cnf('0.13.0.0',axiom,
% 1.39/1.78 ( true = product(a,b,c) ),
% 1.39/1.78 file('/tmp/WALDMEISTER_22392_n016')).
% 1.39/1.78 cnf('0.13.1.0',plain,
% 1.39/1.78 ( true = product(a,b,c) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.13.0.0']),
% 1.39/1.78 [weight('<12,0,0,[0,0,0,13]>')]).
% 1.39/1.78 cnf('0.13.2.0',plain,
% 1.39/1.78 ( product(a,b,c) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_13]).
% 1.39/1.78 cnf('0.14.0.0',axiom,
% 1.39/1.78 ( true = ifeq(product(X1,X2,X3),true,ifeq(product(X4,X3,X5),true,ifeq(product(X4,X1,X6),true,product(X6,X2,X5),true),true),true) ),
% 1.39/1.78 file('/tmp/WALDMEISTER_22392_n016')).
% 1.39/1.78 cnf('0.14.1.0',plain,
% 1.39/1.78 ( true = ifeq(product(X1,X2,X3),true,ifeq(product(X4,X3,X5),true,ifeq(product(X4,X1,X6),true,product(X6,X2,X5),true),true),true) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.14.0.0']),
% 1.39/1.78 [weight('<13,0,0,[0,0,0,14]>')]).
% 1.39/1.78 cnf('0.14.2.0',plain,
% 1.39/1.78 ( ifeq(product(X1,X2,X3),true,ifeq(product(X4,X3,X5),true,ifeq(product(X4,X1,X6),true,product(X6,X2,X5),true),true),true) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_14]).
% 1.39/1.78 cnf('0.15.0.0',axiom,
% 1.39/1.78 ( true = ifeq(product(X1,X2,X3),true,ifeq(product(X4,X2,X5),true,ifeq(product(X6,X4,X1),true,product(X6,X5,X3),true),true),true) ),
% 1.39/1.78 file('/tmp/WALDMEISTER_22392_n016')).
% 1.39/1.78 cnf('0.15.1.0',plain,
% 1.39/1.78 ( true = ifeq(product(X1,X2,X3),true,ifeq(product(X4,X2,X5),true,ifeq(product(X6,X4,X1),true,product(X6,X5,X3),true),true),true) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.15.0.0']),
% 1.39/1.78 [weight('<14,0,0,[0,0,0,15]>')]).
% 1.39/1.78 cnf('0.15.2.0',plain,
% 1.39/1.78 ( ifeq(product(X1,X2,X3),true,ifeq(product(X4,X2,X5),true,ifeq(product(X6,X4,X1),true,product(X6,X5,X3),true),true),true) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_15]).
% 1.39/1.78 cnf('0.16.0.0',axiom,
% 1.39/1.78 ( true = ifeq(product(X1,X1,X2),true,product(X2,X1,identity),true) ),
% 1.39/1.78 file('/tmp/WALDMEISTER_22392_n016')).
% 1.39/1.78 cnf('0.16.1.0',plain,
% 1.39/1.78 ( true = ifeq(product(X1,X1,X2),true,product(X2,X1,identity),true) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.16.0.0']),
% 1.39/1.78 [weight('<15,0,0,[0,0,0,16]>')]).
% 1.39/1.78 cnf('0.16.2.0',plain,
% 1.39/1.78 ( ifeq(product(X1,X1,X2),true,product(X2,X1,identity),true) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_16]).
% 1.39/1.78 cnf('0.18.0.0',plain,
% 1.39/1.78 ( true = ifeq(true,true,product(multiply(X1,X1),X1,identity),true) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.16.2.0','0.4.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.18.0.1',plain,
% 1.39/1.78 ( true = product(multiply(X1,X1),X1,identity) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.18.0.0','0.1.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.18.1.0',plain,
% 1.39/1.78 ( true = product(multiply(X1,X1),X1,identity) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.18.0.1']),
% 1.39/1.78 [weight('<55,16,4,[1,0,0,1]>')]).
% 1.39/1.78 cnf('0.18.2.0',plain,
% 1.39/1.78 ( product(multiply(X1,X1),X1,identity) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_18]).
% 1.39/1.78 cnf('0.20.0.0',plain,
% 1.39/1.78 ( X1 = ifeq2(true,true,ifeq2(product(X1,identity,X2),true,X2,X1),X1) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.3.2.0','0.5.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.20.0.1',plain,
% 1.39/1.78 ( X1 = ifeq2(product(X1,identity,X2),true,X2,X1) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.20.0.0','0.2.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.20.1.0',plain,
% 1.39/1.78 ( X1 = ifeq2(product(X1,identity,X2),true,X2,X1) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.20.0.1']),
% 1.39/1.78 [weight('<89,5,3,[0,0,0,1]>')]).
% 1.39/1.78 cnf('0.20.2.0',plain,
% 1.39/1.78 ( ifeq2(product(X1,identity,X2),true,X2,X1) = X1 ),
% 1.39/1.78 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_20]).
% 1.39/1.78 cnf('0.22.0.0',plain,
% 1.39/1.78 ( X1 = ifeq2(true,true,multiply(X1,identity),X1) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.20.2.0','0.4.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.22.0.1',plain,
% 1.39/1.78 ( X1 = multiply(X1,identity) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.22.0.0','0.2.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.22.1.0',plain,
% 1.39/1.78 ( X1 = multiply(X1,identity) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.22.0.1']),
% 1.39/1.78 [weight('<19,20,4,[1,0,0,1]>')]).
% 1.39/1.78 cnf('0.22.2.0',plain,
% 1.39/1.78 ( multiply(X1,identity) = X1 ),
% 1.39/1.78 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_22]).
% 1.39/1.78 cnf('0.24.0.0',plain,
% 1.39/1.78 ( X1 = ifeq2(true,true,ifeq2(product(identity,X1,X2),true,X2,X1),X1) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.3.2.0','0.7.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.24.0.1',plain,
% 1.39/1.78 ( X1 = ifeq2(product(identity,X1,X2),true,X2,X1) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.24.0.0','0.2.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.24.1.0',plain,
% 1.39/1.78 ( X1 = ifeq2(product(identity,X1,X2),true,X2,X1) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.24.0.1']),
% 1.39/1.78 [weight('<89,7,3,[0,0,0,1]>')]).
% 1.39/1.78 cnf('0.24.2.0',plain,
% 1.39/1.78 ( ifeq2(product(identity,X1,X2),true,X2,X1) = X1 ),
% 1.39/1.78 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_24]).
% 1.39/1.78 cnf('0.25.0.0',plain,
% 1.39/1.78 ( X1 = ifeq2(true,true,multiply(identity,X1),X1) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.24.2.0','0.4.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.25.0.1',plain,
% 1.39/1.78 ( X1 = multiply(identity,X1) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.25.0.0','0.2.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.25.1.0',plain,
% 1.39/1.78 ( X1 = multiply(identity,X1) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.25.0.1']),
% 1.39/1.78 [weight('<19,24,4,[1,0,0,1]>')]).
% 1.39/1.78 cnf('0.25.2.0',plain,
% 1.39/1.78 ( multiply(identity,X1) = X1 ),
% 1.39/1.78 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_25]).
% 1.39/1.78 cnf('0.27.0.0',plain,
% 1.39/1.78 ( j = ifeq2(true,true,ifeq2(product(h,b,X1),true,X1,j),j) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.3.2.0','0.9.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.27.0.1',plain,
% 1.39/1.78 ( j = ifeq2(product(h,b,X1),true,X1,j) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.27.0.0','0.2.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.27.1.0',plain,
% 1.39/1.78 ( j = ifeq2(product(h,b,X1),true,X1,j) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.27.0.1']),
% 1.39/1.78 [weight('<89,9,3,[0,0,0,1]>')]).
% 1.39/1.78 cnf('0.27.2.0',plain,
% 1.39/1.78 ( ifeq2(product(h,b,X1),true,X1,j) = j ),
% 1.39/1.78 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_27]).
% 1.39/1.78 cnf('0.28.0.0',plain,
% 1.39/1.78 ( j = ifeq2(true,true,multiply(h,b),j) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.27.2.0','0.4.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.28.0.1',plain,
% 1.39/1.78 ( j = multiply(h,b) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.28.0.0','0.2.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.28.1.0',plain,
% 1.39/1.78 ( j = multiply(h,b) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.28.0.1']),
% 1.39/1.78 [weight('<19,27,4,[1,0,0,1]>')]).
% 1.39/1.78 cnf('0.28.2.0',plain,
% 1.39/1.78 ( multiply(h,b) = j ),
% 1.39/1.78 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_28]).
% 1.39/1.78 cnf('0.33.0.0',plain,
% 1.39/1.78 ( identity = ifeq2(true,true,ifeq2(product(X1,inverse(X1),X2),true,X2,identity),identity) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.3.2.0','0.6.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.33.0.1',plain,
% 1.39/1.78 ( identity = ifeq2(product(X1,inverse(X1),X2),true,X2,identity) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.33.0.0','0.2.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.33.1.0',plain,
% 1.39/1.78 ( identity = ifeq2(product(X1,inverse(X1),X2),true,X2,identity) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.33.0.1']),
% 1.39/1.78 [weight('<109,6,3,[0,0,0,1]>')]).
% 1.39/1.78 cnf('0.33.2.0',plain,
% 1.39/1.78 ( ifeq2(product(X1,inverse(X1),X2),true,X2,identity) = identity ),
% 1.39/1.78 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_33]).
% 1.39/1.78 cnf('0.34.0.0',plain,
% 1.39/1.78 ( identity = ifeq2(true,true,multiply(X1,inverse(X1)),identity) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.33.2.0','0.4.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.34.0.1',plain,
% 1.39/1.78 ( identity = multiply(X1,inverse(X1)) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.34.0.0','0.2.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.34.1.0',plain,
% 1.39/1.78 ( identity = multiply(X1,inverse(X1)) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.34.0.1']),
% 1.39/1.78 [weight('<29,33,4,[1,0,0,1]>')]).
% 1.39/1.78 cnf('0.34.2.0',plain,
% 1.39/1.78 ( multiply(X1,inverse(X1)) = identity ),
% 1.39/1.78 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_34]).
% 1.39/1.78 cnf('0.49.0.0',plain,
% 1.39/1.78 ( X1 = ifeq2(product(X2,X3,X1),true,ifeq2(true,true,multiply(X2,X3),X1),X1) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.3.2.0','0.4.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.3.1','L')]).
% 1.39/1.78 cnf('0.49.0.1',plain,
% 1.39/1.78 ( X1 = ifeq2(product(X2,X3,X1),true,multiply(X2,X3),X1) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.49.0.0','0.2.2.0',theory(equality)]),
% 1.39/1.78 [pos('R.3','L')]).
% 1.39/1.78 cnf('0.49.1.0',plain,
% 1.39/1.78 ( X1 = ifeq2(product(X2,X3,X1),true,multiply(X2,X3),X1) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.49.0.1']),
% 1.39/1.78 [weight('<131,4,3,[0,0,0,7]>')]).
% 1.39/1.78 cnf('0.49.2.0',plain,
% 1.39/1.78 ( ifeq2(product(X1,X2,X3),true,multiply(X1,X2),X3) = X3 ),
% 1.39/1.78 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_49]).
% 1.39/1.78 cnf('0.50.0.0',plain,
% 1.39/1.78 ( identity = ifeq2(true,true,multiply(multiply(X1,X1),X1),identity) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.49.2.0','0.18.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.50.0.1',plain,
% 1.39/1.78 ( identity = multiply(multiply(X1,X1),X1) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.50.0.0','0.2.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.50.1.0',plain,
% 1.39/1.78 ( identity = multiply(multiply(X1,X1),X1) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.50.0.1']),
% 1.39/1.78 [weight('<41,49,18,[1,0,0,1]>')]).
% 1.39/1.78 cnf('0.50.2.0',plain,
% 1.39/1.78 ( multiply(multiply(X1,X1),X1) = identity ),
% 1.39/1.78 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_50]).
% 1.39/1.78 cnf('0.61.0.0',plain,
% 1.39/1.78 ( true = ifeq(true,true,ifeq(product(X1,multiply(X2,X3),X4),true,ifeq(product(X1,X2,X5),true,product(X5,X3,X4),true),true),true) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.14.2.0','0.4.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.61.0.1',plain,
% 1.39/1.78 ( true = ifeq(product(X1,multiply(X2,X3),X4),true,ifeq(product(X1,X2,X5),true,product(X5,X3,X4),true),true) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.61.0.0','0.1.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.61.1.0',plain,
% 1.39/1.78 ( true = ifeq(product(X1,multiply(X2,X3),X4),true,ifeq(product(X1,X2,X5),true,product(X5,X3,X4),true),true) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.61.0.1']),
% 1.39/1.78 [weight('<?,14,4,[1,0,0,1]>')]).
% 1.39/1.78 cnf('0.61.2.0',plain,
% 1.39/1.78 ( ifeq(product(X1,multiply(X2,X3),X4),true,ifeq(product(X1,X2,X5),true,product(X5,X3,X4),true),true) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_61]).
% 1.39/1.78 cnf('0.112.0.0',plain,
% 1.39/1.78 ( true = ifeq(product(X1,X2,X3),true,ifeq(true,true,ifeq(product(X4,X1,X5),true,product(X5,X2,multiply(X4,X3)),true),true),true) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.14.2.0','0.4.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.3.1','L')]).
% 1.39/1.78 cnf('0.112.0.1',plain,
% 1.39/1.78 ( true = ifeq(product(X1,X2,X3),true,ifeq(product(X4,X1,X5),true,product(X5,X2,multiply(X4,X3)),true),true) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.112.0.0','0.1.2.0',theory(equality)]),
% 1.39/1.78 [pos('R.3','L')]).
% 1.39/1.78 cnf('0.112.1.0',plain,
% 1.39/1.78 ( true = ifeq(product(X1,X2,X3),true,ifeq(product(X4,X1,X5),true,product(X5,X2,multiply(X4,X3)),true),true) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.112.0.1']),
% 1.39/1.78 [weight('<?,14,4,[1,0,0,7]>')]).
% 1.39/1.78 cnf('0.112.2.0',plain,
% 1.39/1.78 ( ifeq(product(X1,X2,X3),true,ifeq(product(X4,X1,X5),true,product(X5,X2,multiply(X4,X3)),true),true) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.112.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_112]).
% 1.39/1.78 cnf('0.126.0.0',plain,
% 1.39/1.78 ( true = ifeq(true,true,ifeq(product(X1,X2,X3),true,product(X3,inverse(X2),multiply(X1,identity)),true),true) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.112.2.0','0.6.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.126.0.1',plain,
% 1.39/1.78 ( true = ifeq(product(X1,X2,X3),true,product(X3,inverse(X2),multiply(X1,identity)),true) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.126.0.0','0.1.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.126.0.2',plain,
% 1.39/1.78 ( true = ifeq(product(X1,X2,X3),true,product(X3,inverse(X2),X1),true) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.126.0.1','0.22.2.0',theory(equality)]),
% 1.39/1.78 [pos('R.3.3','L')]).
% 1.39/1.78 cnf('0.126.1.0',plain,
% 1.39/1.78 ( true = ifeq(product(X1,X2,X3),true,product(X3,inverse(X2),X1),true) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.126.0.2']),
% 1.39/1.78 [weight('<181,112,6,[1,0,0,1]>')]).
% 1.39/1.78 cnf('0.126.2.0',plain,
% 1.39/1.78 ( ifeq(product(X1,X2,X3),true,product(X3,inverse(X2),X1),true) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.126.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_126]).
% 1.39/1.78 cnf('0.131.0.0',plain,
% 1.39/1.78 ( true = ifeq(true,true,product(identity,inverse(inverse(X1)),X1),true) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.126.2.0','0.6.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.131.0.1',plain,
% 1.39/1.78 ( true = product(identity,inverse(inverse(X1)),X1) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.131.0.0','0.1.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.131.1.0',plain,
% 1.39/1.78 ( true = product(identity,inverse(inverse(X1)),X1) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.131.0.1']),
% 1.39/1.78 [weight('<55,126,6,[1,0,0,1]>')]).
% 1.39/1.78 cnf('0.131.2.0',plain,
% 1.39/1.78 ( product(identity,inverse(inverse(X1)),X1) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.131.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_131]).
% 1.39/1.78 cnf('0.132.0.0',plain,
% 1.39/1.78 ( inverse(inverse(X1)) = ifeq2(true,true,X1,inverse(inverse(X1))) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.24.2.0','0.131.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.132.0.1',plain,
% 1.39/1.78 ( inverse(inverse(X1)) = X1 ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.132.0.0','0.2.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.132.1.0',plain,
% 1.39/1.78 ( inverse(inverse(X1)) = X1 ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.132.0.1']),
% 1.39/1.78 [weight('<19,131,24,[0,0,0,1]>')]).
% 1.39/1.78 cnf('0.132.2.0',plain,
% 1.39/1.78 ( inverse(inverse(X1)) = X1 ),
% 1.39/1.78 inference(orient,[status(thm)],['0.132.1.0',theory(equality)]),
% 1.39/1.78 [u,rule_132]).
% 1.39/1.78 cnf('0.133.0.0',plain,
% 1.39/1.78 ( true = ifeq(true,true,product(d,inverse(inverse(a)),c),true) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.126.2.0','0.10.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.133.0.1',plain,
% 1.39/1.78 ( true = product(d,inverse(inverse(a)),c) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.133.0.0','0.1.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.133.1.0',plain,
% 1.39/1.78 ( true = product(d,inverse(inverse(a)),c) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.133.0.1']),
% 1.39/1.78 [weight('<55,126,10,[1,0,0,1]>')]).
% 1.39/1.78 cnf('0.133.1.1',plain,
% 1.39/1.78 ( true = product(d,a,c) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.133.1.0','0.132.2.0',theory(equality)]),
% 1.39/1.78 [pos('R.2','L')]).
% 1.39/1.78 cnf('0.133.2.0',plain,
% 1.39/1.78 ( product(d,a,c) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.133.1.1',theory(equality)]),
% 1.39/1.78 [x,rule_133]).
% 1.39/1.78 cnf('0.135.0.0',plain,
% 1.39/1.78 ( true = ifeq(true,true,product(k,inverse(inverse(h)),j),true) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.126.2.0','0.11.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.135.0.1',plain,
% 1.39/1.78 ( true = product(k,inverse(inverse(h)),j) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.135.0.0','0.1.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.135.1.0',plain,
% 1.39/1.78 ( true = product(k,inverse(inverse(h)),j) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.135.0.1']),
% 1.39/1.78 [weight('<55,126,11,[1,0,0,1]>')]).
% 1.39/1.78 cnf('0.135.1.1',plain,
% 1.39/1.78 ( true = product(k,h,j) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.135.1.0','0.132.2.0',theory(equality)]),
% 1.39/1.78 [pos('R.2','L')]).
% 1.39/1.78 cnf('0.135.2.0',plain,
% 1.39/1.78 ( product(k,h,j) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.135.1.1',theory(equality)]),
% 1.39/1.78 [x,rule_135]).
% 1.39/1.78 cnf('0.137.0.0',plain,
% 1.39/1.78 ( true = ifeq(true,true,product(h,inverse(inverse(b)),d),true) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.126.2.0','0.12.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.137.0.1',plain,
% 1.39/1.78 ( true = product(h,inverse(inverse(b)),d) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.137.0.0','0.1.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.137.1.0',plain,
% 1.39/1.78 ( true = product(h,inverse(inverse(b)),d) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.137.0.1']),
% 1.39/1.78 [weight('<55,126,12,[1,0,0,1]>')]).
% 1.39/1.78 cnf('0.137.1.1',plain,
% 1.39/1.78 ( true = product(h,b,d) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.137.1.0','0.132.2.0',theory(equality)]),
% 1.39/1.78 [pos('R.2','L')]).
% 1.39/1.78 cnf('0.137.2.0',plain,
% 1.39/1.78 ( product(h,b,d) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.137.1.1',theory(equality)]),
% 1.39/1.78 [x,rule_137]).
% 1.39/1.78 cnf('0.138.0.0',plain,
% 1.39/1.78 ( j = ifeq2(true,true,d,j) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.27.2.0','0.137.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.138.0.1',plain,
% 1.39/1.78 ( j = d ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.138.0.0','0.2.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.138.1.0',plain,
% 1.39/1.78 ( j = d ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.138.0.1']),
% 1.39/1.78 [weight('<5,137,27,[0,0,0,1]>')]).
% 1.39/1.78 cnf('0.138.2.0',plain,
% 1.39/1.78 ( j = d ),
% 1.39/1.78 inference(orient,[status(thm)],['0.138.1.0',theory(equality)]),
% 1.39/1.78 [u,rule_138]).
% 1.39/1.78 cnf('0.139.0.0',plain,
% 1.39/1.78 ( multiply(h,b) = j ),
% 1.39/1.78 inference(interreduction_right,[status(thm)],['0.28.2.0'])).
% 1.39/1.78 cnf('0.139.0.1',plain,
% 1.39/1.78 ( multiply(h,b) = d ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.139.0.0','0.138.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.139.1.0',plain,
% 1.39/1.78 ( multiply(h,b) = d ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.139.0.1']),
% 1.39/1.78 [weight('<19,28,138,[0,0,0,0]>')]).
% 1.39/1.78 cnf('0.139.2.0',plain,
% 1.39/1.78 ( multiply(h,b) = d ),
% 1.39/1.78 inference(orient,[status(thm)],['0.139.1.0',theory(equality)]),
% 1.39/1.78 [u,rule_139]).
% 1.39/1.78 cnf('0.142.0.0',plain,
% 1.39/1.78 ( product(k,h,j) = true ),
% 1.39/1.78 inference(interreduction_right,[status(thm)],['0.135.2.0'])).
% 1.39/1.78 cnf('0.142.0.1',plain,
% 1.39/1.78 ( product(k,h,d) = true ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.142.0.0','0.138.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.3','L')]).
% 1.39/1.78 cnf('0.142.1.0',plain,
% 1.39/1.78 ( product(k,h,d) = true ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.142.0.1']),
% 1.39/1.78 [weight('<29,135,138,[0,0,0,0]>')]).
% 1.39/1.78 cnf('0.142.2.0',plain,
% 1.39/1.78 ( product(k,h,d) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.142.1.0',theory(equality)]),
% 1.39/1.78 [u,rule_142]).
% 1.39/1.78 cnf('0.144.0.0',plain,
% 1.39/1.78 ( true = ifeq(true,true,product(multiply(X1,X2),inverse(X2),X1),true) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.126.2.0','0.4.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.144.0.1',plain,
% 1.39/1.78 ( true = product(multiply(X1,X2),inverse(X2),X1) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.144.0.0','0.1.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.144.1.0',plain,
% 1.39/1.78 ( true = product(multiply(X1,X2),inverse(X2),X1) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.144.0.1']),
% 1.39/1.78 [weight('<71,126,4,[1,0,0,1]>')]).
% 1.39/1.78 cnf('0.144.2.0',plain,
% 1.39/1.78 ( product(multiply(X1,X2),inverse(X2),X1) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.144.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_144]).
% 1.39/1.78 cnf('0.145.0.0',plain,
% 1.39/1.78 ( X1 = ifeq2(true,true,multiply(multiply(X1,X2),inverse(X2)),X1) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.49.2.0','0.144.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.145.0.1',plain,
% 1.39/1.78 ( X1 = multiply(multiply(X1,X2),inverse(X2)) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.145.0.0','0.2.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.145.1.0',plain,
% 1.39/1.78 ( X1 = multiply(multiply(X1,X2),inverse(X2)) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.145.0.1']),
% 1.39/1.78 [weight('<55,144,49,[0,0,0,1]>')]).
% 1.39/1.78 cnf('0.145.2.0',plain,
% 1.39/1.78 ( multiply(multiply(X1,X2),inverse(X2)) = X1 ),
% 1.39/1.78 inference(orient,[status(thm)],['0.145.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_145]).
% 1.39/1.78 cnf('0.146.0.0',plain,
% 1.39/1.78 ( multiply(X1,X1) = multiply(identity,inverse(X1)) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.145.2.0','0.50.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.146.0.1',plain,
% 1.39/1.78 ( multiply(X1,X1) = inverse(X1) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.146.0.0','0.25.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.146.1.0',plain,
% 1.39/1.78 ( multiply(X1,X1) = inverse(X1) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.146.0.1']),
% 1.39/1.78 [weight('<23,145,50,[1,0,0,1]>')]).
% 1.39/1.78 cnf('0.146.2.0',plain,
% 1.39/1.78 ( multiply(X1,X1) = inverse(X1) ),
% 1.39/1.78 inference(orient,[status(thm)],['0.146.1.0',theory(equality)]),
% 1.39/1.78 [u,rule_146]).
% 1.39/1.78 cnf('0.147.0.0',plain,
% 1.39/1.78 ( true = product(X1,X1,inverse(X1)) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.4.2.0','0.146.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.3','L')]).
% 1.39/1.78 cnf('0.147.1.0',plain,
% 1.39/1.78 ( true = product(X1,X1,inverse(X1)) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.147.0.0']),
% 1.39/1.78 [weight('<41,146,4,[0,0,0,3]>')]).
% 1.39/1.78 cnf('0.147.2.0',plain,
% 1.39/1.78 ( product(X1,X1,inverse(X1)) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.147.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_147]).
% 1.39/1.78 cnf('0.148.0.0',plain,
% 1.39/1.78 ( X1 = multiply(multiply(X1,inverse(X2)),X2) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.145.2.0','0.132.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.2','L')]).
% 1.39/1.78 cnf('0.148.1.0',plain,
% 1.39/1.78 ( X1 = multiply(multiply(X1,inverse(X2)),X2) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.148.0.0']),
% 1.39/1.78 [weight('<55,145,132,[1,0,0,4]>')]).
% 1.39/1.78 cnf('0.148.2.0',plain,
% 1.39/1.78 ( multiply(multiply(X1,inverse(X2)),X2) = X1 ),
% 1.39/1.78 inference(orient,[status(thm)],['0.148.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_148]).
% 1.39/1.78 cnf('0.216.0.0',plain,
% 1.39/1.78 ( true = ifeq(product(a,multiply(b,X1),X2),true,ifeq(true,true,product(c,X1,X2),true),true) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.61.2.0','0.13.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.3.1','L')]).
% 1.39/1.78 cnf('0.216.0.1',plain,
% 1.39/1.78 ( true = ifeq(product(a,multiply(b,X1),X2),true,product(c,X1,X2),true) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.216.0.0','0.1.2.0',theory(equality)]),
% 1.39/1.78 [pos('R.3','L')]).
% 1.39/1.78 cnf('0.216.1.0',plain,
% 1.39/1.78 ( true = ifeq(product(a,multiply(b,X1),X2),true,product(c,X1,X2),true) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.216.0.1']),
% 1.39/1.78 [weight('<209,61,13,[1,0,0,9]>')]).
% 1.39/1.78 cnf('0.216.2.0',plain,
% 1.39/1.78 ( ifeq(product(a,multiply(b,X1),X2),true,product(c,X1,X2),true) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.216.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_216]).
% 1.39/1.78 cnf('0.217.0.0',plain,
% 1.39/1.78 ( true = ifeq(true,true,product(c,X1,multiply(a,multiply(b,X1))),true) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.216.2.0','0.4.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.217.0.1',plain,
% 1.39/1.78 ( true = product(c,X1,multiply(a,multiply(b,X1))) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.217.0.0','0.1.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.217.1.0',plain,
% 1.39/1.78 ( true = product(c,X1,multiply(a,multiply(b,X1))) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.217.0.1']),
% 1.39/1.78 [weight('<89,216,4,[1,0,0,1]>')]).
% 1.39/1.78 cnf('0.217.2.0',plain,
% 1.39/1.78 ( product(c,X1,multiply(a,multiply(b,X1))) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.217.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_217]).
% 1.39/1.78 cnf('0.219.0.0',plain,
% 1.39/1.78 ( multiply(a,multiply(b,X1)) = ifeq2(true,true,multiply(c,X1),multiply(a,multiply(b,X1))) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.49.2.0','0.217.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.219.0.1',plain,
% 1.39/1.78 ( multiply(a,multiply(b,X1)) = multiply(c,X1) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.219.0.0','0.2.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.219.1.0',plain,
% 1.39/1.78 ( multiply(a,multiply(b,X1)) = multiply(c,X1) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.219.0.1']),
% 1.39/1.78 [weight('<53,217,49,[0,0,0,1]>')]).
% 1.39/1.78 cnf('0.219.2.0',plain,
% 1.39/1.78 ( multiply(a,multiply(b,X1)) = multiply(c,X1) ),
% 1.39/1.78 inference(orient,[status(thm)],['0.219.1.0',theory(equality)]),
% 1.39/1.78 [u,rule_219]).
% 1.39/1.78 cnf('0.228.0.0',plain,
% 1.39/1.78 ( a = multiply(multiply(c,X1),inverse(multiply(b,X1))) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.145.2.0','0.219.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.228.1.0',plain,
% 1.39/1.78 ( a = multiply(multiply(c,X1),inverse(multiply(b,X1))) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.228.0.0']),
% 1.39/1.78 [weight('<89,219,145,[0,0,0,1]>')]).
% 1.39/1.78 cnf('0.228.2.0',plain,
% 1.39/1.78 ( multiply(multiply(c,X1),inverse(multiply(b,X1))) = a ),
% 1.39/1.78 inference(orient,[status(thm)],['0.228.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_228]).
% 1.39/1.78 cnf('0.235.0.0',plain,
% 1.39/1.78 ( a = multiply(inverse(c),inverse(multiply(b,c))) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.228.2.0','0.146.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.235.1.0',plain,
% 1.39/1.78 ( a = multiply(inverse(c),inverse(multiply(b,c))) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.235.0.0']),
% 1.39/1.78 [weight('<71,228,146,[1,0,0,1]>')]).
% 1.39/1.78 cnf('0.235.2.0',plain,
% 1.39/1.78 ( multiply(inverse(c),inverse(multiply(b,c))) = a ),
% 1.39/1.78 inference(orient,[status(thm)],['0.235.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_235]).
% 1.39/1.78 cnf('0.329.0.0',plain,
% 1.39/1.78 ( true = ifeq(true,true,ifeq(product(X1,a,X2),true,product(X2,b,multiply(X1,c)),true),true) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.112.2.0','0.13.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.329.0.1',plain,
% 1.39/1.78 ( true = ifeq(product(X1,a,X2),true,product(X2,b,multiply(X1,c)),true) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.329.0.0','0.1.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.329.1.0',plain,
% 1.39/1.78 ( true = ifeq(product(X1,a,X2),true,product(X2,b,multiply(X1,c)),true) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.329.0.1']),
% 1.39/1.78 [weight('<209,112,13,[1,0,0,1]>')]).
% 1.39/1.78 cnf('0.329.2.0',plain,
% 1.39/1.78 ( ifeq(product(X1,a,X2),true,product(X2,b,multiply(X1,c)),true) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.329.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_329]).
% 1.39/1.78 cnf('0.341.0.0',plain,
% 1.39/1.78 ( true = ifeq(true,true,product(multiply(X1,a),b,multiply(X1,c)),true) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.329.2.0','0.4.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.341.0.1',plain,
% 1.39/1.78 ( true = product(multiply(X1,a),b,multiply(X1,c)) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.341.0.0','0.1.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.341.1.0',plain,
% 1.39/1.78 ( true = product(multiply(X1,a),b,multiply(X1,c)) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.341.0.1']),
% 1.39/1.78 [weight('<89,329,4,[1,0,0,1]>')]).
% 1.39/1.78 cnf('0.341.2.0',plain,
% 1.39/1.78 ( product(multiply(X1,a),b,multiply(X1,c)) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.341.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_341]).
% 1.39/1.78 cnf('0.342.0.0',plain,
% 1.39/1.78 ( multiply(X1,c) = ifeq2(true,true,multiply(multiply(X1,a),b),multiply(X1,c)) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.49.2.0','0.341.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.342.0.1',plain,
% 1.39/1.78 ( multiply(X1,c) = multiply(multiply(X1,a),b) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.342.0.0','0.2.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.342.1.0',plain,
% 1.39/1.78 ( multiply(X1,c) = multiply(multiply(X1,a),b) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.342.0.1']),
% 1.39/1.78 [weight('<53,341,49,[0,0,0,1]>')]).
% 1.39/1.78 cnf('0.342.2.0',plain,
% 1.39/1.78 ( multiply(multiply(X1,a),b) = multiply(X1,c) ),
% 1.39/1.78 inference(orient,[status(thm)],['0.342.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_342]).
% 1.39/1.78 cnf('0.348.0.0',plain,
% 1.39/1.78 ( multiply(multiply(X1,inverse(a)),c) = multiply(X1,b) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.342.2.0','0.148.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.348.1.0',plain,
% 1.39/1.78 ( multiply(multiply(X1,inverse(a)),c) = multiply(X1,b) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.348.0.0']),
% 1.39/1.78 [weight('<69,342,148,[1,0,0,1]>')]).
% 1.39/1.78 cnf('0.348.2.0',plain,
% 1.39/1.78 ( multiply(multiply(X1,inverse(a)),c) = multiply(X1,b) ),
% 1.39/1.78 inference(orient,[status(thm)],['0.348.1.0',theory(equality)]),
% 1.39/1.78 [u,rule_348]).
% 1.39/1.78 cnf('0.352.0.0',plain,
% 1.39/1.78 ( multiply(X1,inverse(a)) = multiply(multiply(X1,b),inverse(c)) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.145.2.0','0.348.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.352.1.0',plain,
% 1.39/1.78 ( multiply(X1,inverse(a)) = multiply(multiply(X1,b),inverse(c)) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.352.0.0']),
% 1.39/1.78 [weight('<76,348,145,[0,0,0,1]>')]).
% 1.39/1.78 cnf('0.352.2.0',plain,
% 1.39/1.78 ( multiply(multiply(X1,b),inverse(c)) = multiply(X1,inverse(a)) ),
% 1.39/1.78 inference(orient,[status(thm)],['0.352.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_352]).
% 1.39/1.78 cnf('0.353.0.0',plain,
% 1.39/1.78 ( multiply(h,inverse(a)) = multiply(d,inverse(c)) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.352.2.0','0.139.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.353.1.0',plain,
% 1.39/1.78 ( multiply(h,inverse(a)) = multiply(d,inverse(c)) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.353.0.0']),
% 1.39/1.78 [weight('<44,352,139,[1,0,0,1]>')]).
% 1.39/1.78 cnf('0.353.2.0',plain,
% 1.39/1.78 ( multiply(h,inverse(a)) = multiply(d,inverse(c)) ),
% 1.39/1.78 inference(orient,[status(thm)],['0.353.1.0',theory(equality)]),
% 1.39/1.78 [u,rule_353]).
% 1.39/1.78 cnf('0.405.0.0',plain,
% 1.39/1.78 ( true = ifeq(product(d,multiply(a,X1),X2),true,ifeq(true,true,product(c,X1,X2),true),true) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.61.2.0','0.133.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.3.1','L')]).
% 1.39/1.78 cnf('0.405.0.1',plain,
% 1.39/1.78 ( true = ifeq(product(d,multiply(a,X1),X2),true,product(c,X1,X2),true) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.405.0.0','0.1.2.0',theory(equality)]),
% 1.39/1.78 [pos('R.3','L')]).
% 1.39/1.78 cnf('0.405.1.0',plain,
% 1.39/1.78 ( true = ifeq(product(d,multiply(a,X1),X2),true,product(c,X1,X2),true) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.405.0.1']),
% 1.39/1.78 [weight('<209,133,61,[0,0,0,9]>')]).
% 1.39/1.78 cnf('0.405.2.0',plain,
% 1.39/1.78 ( ifeq(product(d,multiply(a,X1),X2),true,product(c,X1,X2),true) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.405.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_405]).
% 1.39/1.78 cnf('0.406.0.0',plain,
% 1.39/1.78 ( true = ifeq(true,true,product(c,X1,multiply(d,multiply(a,X1))),true) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.405.2.0','0.4.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.406.0.1',plain,
% 1.39/1.78 ( true = product(c,X1,multiply(d,multiply(a,X1))) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.406.0.0','0.1.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.406.1.0',plain,
% 1.39/1.78 ( true = product(c,X1,multiply(d,multiply(a,X1))) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.406.0.1']),
% 1.39/1.78 [weight('<89,405,4,[1,0,0,1]>')]).
% 1.39/1.78 cnf('0.406.2.0',plain,
% 1.39/1.78 ( product(c,X1,multiply(d,multiply(a,X1))) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.406.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_406]).
% 1.39/1.78 cnf('0.409.0.0',plain,
% 1.39/1.78 ( multiply(d,multiply(a,X1)) = ifeq2(true,true,multiply(c,X1),multiply(d,multiply(a,X1))) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.49.2.0','0.406.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.409.0.1',plain,
% 1.39/1.78 ( multiply(d,multiply(a,X1)) = multiply(c,X1) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.409.0.0','0.2.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.409.1.0',plain,
% 1.39/1.78 ( multiply(d,multiply(a,X1)) = multiply(c,X1) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.409.0.1']),
% 1.39/1.78 [weight('<53,406,49,[0,0,0,1]>')]).
% 1.39/1.78 cnf('0.409.2.0',plain,
% 1.39/1.78 ( multiply(d,multiply(a,X1)) = multiply(c,X1) ),
% 1.39/1.78 inference(orient,[status(thm)],['0.409.1.0',theory(equality)]),
% 1.39/1.78 [u,rule_409]).
% 1.39/1.78 cnf('0.410.0.0',plain,
% 1.39/1.78 ( multiply(c,a) = multiply(d,inverse(a)) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.409.2.0','0.146.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.2','L')]).
% 1.39/1.78 cnf('0.410.1.0',plain,
% 1.39/1.78 ( multiply(c,a) = multiply(d,inverse(a)) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.410.0.0']),
% 1.39/1.78 [weight('<39,409,146,[1,0,0,2]>')]).
% 1.39/1.78 cnf('0.410.2.0',plain,
% 1.39/1.78 ( multiply(d,inverse(a)) = multiply(c,a) ),
% 1.39/1.78 inference(orient,[status(thm)],['0.410.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_410]).
% 1.39/1.78 cnf('0.575.0.0',plain,
% 1.39/1.78 ( true = ifeq(true,true,ifeq(product(X1,d,X2),true,product(X2,a,multiply(X1,c)),true),true) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.112.2.0','0.133.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.575.0.1',plain,
% 1.39/1.78 ( true = ifeq(product(X1,d,X2),true,product(X2,a,multiply(X1,c)),true) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.575.0.0','0.1.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.575.1.0',plain,
% 1.39/1.78 ( true = ifeq(product(X1,d,X2),true,product(X2,a,multiply(X1,c)),true) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.575.0.1']),
% 1.39/1.78 [weight('<209,133,112,[0,0,0,1]>')]).
% 1.39/1.78 cnf('0.575.2.0',plain,
% 1.39/1.78 ( ifeq(product(X1,d,X2),true,product(X2,a,multiply(X1,c)),true) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.575.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_575]).
% 1.39/1.78 cnf('0.576.0.0',plain,
% 1.39/1.78 ( true = ifeq(true,true,product(multiply(X1,d),a,multiply(X1,c)),true) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.575.2.0','0.4.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.576.0.1',plain,
% 1.39/1.78 ( true = product(multiply(X1,d),a,multiply(X1,c)) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.576.0.0','0.1.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.576.1.0',plain,
% 1.39/1.78 ( true = product(multiply(X1,d),a,multiply(X1,c)) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.576.0.1']),
% 1.39/1.78 [weight('<89,575,4,[1,0,0,1]>')]).
% 1.39/1.78 cnf('0.576.2.0',plain,
% 1.39/1.78 ( product(multiply(X1,d),a,multiply(X1,c)) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.576.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_576]).
% 1.39/1.78 cnf('0.577.0.0',plain,
% 1.39/1.78 ( multiply(X1,c) = ifeq2(true,true,multiply(multiply(X1,d),a),multiply(X1,c)) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.49.2.0','0.576.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.577.0.1',plain,
% 1.39/1.78 ( multiply(X1,c) = multiply(multiply(X1,d),a) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.577.0.0','0.2.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.577.1.0',plain,
% 1.39/1.78 ( multiply(X1,c) = multiply(multiply(X1,d),a) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.577.0.1']),
% 1.39/1.78 [weight('<53,576,49,[0,0,0,1]>')]).
% 1.39/1.78 cnf('0.577.2.0',plain,
% 1.39/1.78 ( multiply(multiply(X1,d),a) = multiply(X1,c) ),
% 1.39/1.78 inference(orient,[status(thm)],['0.577.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_577]).
% 1.39/1.78 cnf('0.584.0.0',plain,
% 1.39/1.78 ( multiply(multiply(X1,inverse(d)),c) = multiply(X1,a) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.577.2.0','0.148.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.584.1.0',plain,
% 1.39/1.78 ( multiply(multiply(X1,inverse(d)),c) = multiply(X1,a) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.584.0.0']),
% 1.39/1.78 [weight('<69,577,148,[1,0,0,1]>')]).
% 1.39/1.78 cnf('0.584.2.0',plain,
% 1.39/1.78 ( multiply(multiply(X1,inverse(d)),c) = multiply(X1,a) ),
% 1.39/1.78 inference(orient,[status(thm)],['0.584.1.0',theory(equality)]),
% 1.39/1.78 [u,rule_584]).
% 1.39/1.78 cnf('0.589.0.0',plain,
% 1.39/1.78 ( multiply(X1,inverse(d)) = multiply(multiply(X1,a),inverse(c)) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.145.2.0','0.584.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.589.1.0',plain,
% 1.39/1.78 ( multiply(X1,inverse(d)) = multiply(multiply(X1,a),inverse(c)) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.589.0.0']),
% 1.39/1.78 [weight('<76,584,145,[0,0,0,1]>')]).
% 1.39/1.78 cnf('0.589.2.0',plain,
% 1.39/1.78 ( multiply(multiply(X1,a),inverse(c)) = multiply(X1,inverse(d)) ),
% 1.39/1.78 inference(orient,[status(thm)],['0.589.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_589]).
% 1.39/1.78 cnf('0.657.0.0',plain,
% 1.39/1.78 ( true = ifeq(product(h,multiply(b,X1),X2),true,ifeq(true,true,product(d,X1,X2),true),true) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.61.2.0','0.137.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.3.1','L')]).
% 1.39/1.78 cnf('0.657.0.1',plain,
% 1.39/1.78 ( true = ifeq(product(h,multiply(b,X1),X2),true,product(d,X1,X2),true) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.657.0.0','0.1.2.0',theory(equality)]),
% 1.39/1.78 [pos('R.3','L')]).
% 1.39/1.78 cnf('0.657.1.0',plain,
% 1.39/1.78 ( true = ifeq(product(h,multiply(b,X1),X2),true,product(d,X1,X2),true) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.657.0.1']),
% 1.39/1.78 [weight('<209,137,61,[0,0,0,9]>')]).
% 1.39/1.78 cnf('0.657.2.0',plain,
% 1.39/1.78 ( ifeq(product(h,multiply(b,X1),X2),true,product(d,X1,X2),true) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.657.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_657]).
% 1.39/1.78 cnf('0.658.0.0',plain,
% 1.39/1.78 ( true = ifeq(true,true,product(d,X1,multiply(h,multiply(b,X1))),true) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.657.2.0','0.4.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.658.0.1',plain,
% 1.39/1.78 ( true = product(d,X1,multiply(h,multiply(b,X1))) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.658.0.0','0.1.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.658.1.0',plain,
% 1.39/1.78 ( true = product(d,X1,multiply(h,multiply(b,X1))) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.658.0.1']),
% 1.39/1.78 [weight('<89,657,4,[1,0,0,1]>')]).
% 1.39/1.78 cnf('0.658.2.0',plain,
% 1.39/1.78 ( product(d,X1,multiply(h,multiply(b,X1))) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.658.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_658]).
% 1.39/1.78 cnf('0.661.0.0',plain,
% 1.39/1.78 ( multiply(h,multiply(b,X1)) = ifeq2(true,true,multiply(d,X1),multiply(h,multiply(b,X1))) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.49.2.0','0.658.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.661.0.1',plain,
% 1.39/1.78 ( multiply(h,multiply(b,X1)) = multiply(d,X1) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.661.0.0','0.2.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.661.1.0',plain,
% 1.39/1.78 ( multiply(h,multiply(b,X1)) = multiply(d,X1) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.661.0.1']),
% 1.39/1.78 [weight('<53,658,49,[0,0,0,1]>')]).
% 1.39/1.78 cnf('0.661.2.0',plain,
% 1.39/1.78 ( multiply(h,multiply(b,X1)) = multiply(d,X1) ),
% 1.39/1.78 inference(orient,[status(thm)],['0.661.1.0',theory(equality)]),
% 1.39/1.78 [u,rule_661]).
% 1.39/1.78 cnf('0.682.0.0',plain,
% 1.39/1.78 ( h = multiply(multiply(d,X1),inverse(multiply(b,X1))) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.145.2.0','0.661.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.682.1.0',plain,
% 1.39/1.78 ( h = multiply(multiply(d,X1),inverse(multiply(b,X1))) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.682.0.0']),
% 1.39/1.78 [weight('<89,661,145,[0,0,0,1]>')]).
% 1.39/1.78 cnf('0.682.2.0',plain,
% 1.39/1.78 ( multiply(multiply(d,X1),inverse(multiply(b,X1))) = h ),
% 1.39/1.78 inference(orient,[status(thm)],['0.682.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_682]).
% 1.39/1.78 cnf('0.683.0.0',plain,
% 1.39/1.78 ( h = multiply(identity,inverse(multiply(b,inverse(d)))) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.682.2.0','0.34.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.683.0.1',plain,
% 1.39/1.78 ( h = inverse(multiply(b,inverse(d))) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.683.0.0','0.25.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.683.1.0',plain,
% 1.39/1.78 ( h = inverse(multiply(b,inverse(d))) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.683.0.1']),
% 1.39/1.78 [weight('<41,682,34,[1,0,0,1]>')]).
% 1.39/1.78 cnf('0.683.2.0',plain,
% 1.39/1.78 ( inverse(multiply(b,inverse(d))) = h ),
% 1.39/1.78 inference(orient,[status(thm)],['0.683.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_683]).
% 1.39/1.78 cnf('0.684.0.0',plain,
% 1.39/1.78 ( multiply(b,inverse(d)) = inverse(h) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.132.2.0','0.683.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.684.1.0',plain,
% 1.39/1.78 ( multiply(b,inverse(d)) = inverse(h) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.684.0.0']),
% 1.39/1.78 [weight('<34,683,132,[0,0,0,1]>')]).
% 1.39/1.78 cnf('0.684.2.0',plain,
% 1.39/1.78 ( multiply(b,inverse(d)) = inverse(h) ),
% 1.39/1.78 inference(orient,[status(thm)],['0.684.1.0',theory(equality)]),
% 1.39/1.78 [u,rule_684]).
% 1.39/1.78 cnf('0.688.0.0',plain,
% 1.39/1.78 ( multiply(c,inverse(d)) = multiply(a,inverse(h)) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.219.2.0','0.684.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.2','L')]).
% 1.39/1.78 cnf('0.688.1.0',plain,
% 1.39/1.78 ( multiply(c,inverse(d)) = multiply(a,inverse(h)) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.688.0.0']),
% 1.39/1.78 [weight('<44,684,219,[0,0,0,2]>')]).
% 1.39/1.78 cnf('0.688.2.0',plain,
% 1.39/1.78 ( multiply(c,inverse(d)) = multiply(a,inverse(h)) ),
% 1.39/1.78 inference(orient,[status(thm)],['0.688.1.0',theory(equality)]),
% 1.39/1.78 [u,rule_688]).
% 1.39/1.78 cnf('0.1038.0.0',plain,
% 1.39/1.78 ( true = ifeq(product(k,multiply(h,X1),X2),true,ifeq(true,true,product(d,X1,X2),true),true) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.61.2.0','0.142.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.3.1','L')]).
% 1.39/1.78 cnf('0.1038.0.1',plain,
% 1.39/1.78 ( true = ifeq(product(k,multiply(h,X1),X2),true,product(d,X1,X2),true) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.1038.0.0','0.1.2.0',theory(equality)]),
% 1.39/1.78 [pos('R.3','L')]).
% 1.39/1.78 cnf('0.1038.1.0',plain,
% 1.39/1.78 ( true = ifeq(product(k,multiply(h,X1),X2),true,product(d,X1,X2),true) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.1038.0.1']),
% 1.39/1.78 [weight('<209,142,61,[0,0,0,9]>')]).
% 1.39/1.78 cnf('0.1038.2.0',plain,
% 1.39/1.78 ( ifeq(product(k,multiply(h,X1),X2),true,product(d,X1,X2),true) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.1038.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_1038]).
% 1.39/1.78 cnf('0.1039.0.0',plain,
% 1.39/1.78 ( true = ifeq(true,true,product(d,X1,multiply(k,multiply(h,X1))),true) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.1038.2.0','0.4.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.1039.0.1',plain,
% 1.39/1.78 ( true = product(d,X1,multiply(k,multiply(h,X1))) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.1039.0.0','0.1.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.1039.1.0',plain,
% 1.39/1.78 ( true = product(d,X1,multiply(k,multiply(h,X1))) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.1039.0.1']),
% 1.39/1.78 [weight('<89,1038,4,[1,0,0,1]>')]).
% 1.39/1.78 cnf('0.1039.2.0',plain,
% 1.39/1.78 ( product(d,X1,multiply(k,multiply(h,X1))) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.1039.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_1039]).
% 1.39/1.78 cnf('0.1043.0.0',plain,
% 1.39/1.78 ( multiply(k,multiply(h,X1)) = ifeq2(true,true,multiply(d,X1),multiply(k,multiply(h,X1))) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.49.2.0','0.1039.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.1043.0.1',plain,
% 1.39/1.78 ( multiply(k,multiply(h,X1)) = multiply(d,X1) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.1043.0.0','0.2.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.1043.1.0',plain,
% 1.39/1.78 ( multiply(k,multiply(h,X1)) = multiply(d,X1) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.1043.0.1']),
% 1.39/1.78 [weight('<53,1039,49,[0,0,0,1]>')]).
% 1.39/1.78 cnf('0.1043.2.0',plain,
% 1.39/1.78 ( multiply(k,multiply(h,X1)) = multiply(d,X1) ),
% 1.39/1.78 inference(orient,[status(thm)],['0.1043.1.0',theory(equality)]),
% 1.39/1.78 [u,rule_1043]).
% 1.39/1.78 cnf('0.1055.0.0',plain,
% 1.39/1.78 ( multiply(d,inverse(a)) = multiply(k,multiply(d,inverse(c))) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.1043.2.0','0.353.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.2','L')]).
% 1.39/1.78 cnf('0.1055.0.1',plain,
% 1.39/1.78 ( multiply(c,a) = multiply(k,multiply(d,inverse(c))) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.1055.0.0','0.410.2.0',theory(equality)]),
% 1.39/1.78 [pos('L','L')]).
% 1.39/1.78 cnf('0.1055.1.0',plain,
% 1.39/1.78 ( multiply(c,a) = multiply(k,multiply(d,inverse(c))) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.1055.0.1']),
% 1.39/1.78 [weight('<69,1043,353,[1,0,0,2]>')]).
% 1.39/1.78 cnf('0.1055.2.0',plain,
% 1.39/1.78 ( multiply(k,multiply(d,inverse(c))) = multiply(c,a) ),
% 1.39/1.78 inference(orient,[status(thm)],['0.1055.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_1055]).
% 1.39/1.78 cnf('0.1077.0.0',plain,
% 1.39/1.78 ( k = multiply(multiply(c,a),inverse(multiply(d,inverse(c)))) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.145.2.0','0.1055.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.1077.1.0',plain,
% 1.39/1.78 ( k = multiply(multiply(c,a),inverse(multiply(d,inverse(c)))) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.1077.0.0']),
% 1.39/1.78 [weight('<109,1055,145,[0,0,0,1]>')]).
% 1.39/1.78 cnf('0.1077.2.0',plain,
% 1.39/1.78 ( multiply(multiply(c,a),inverse(multiply(d,inverse(c)))) = k ),
% 1.39/1.78 inference(orient,[status(thm)],['0.1077.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_1077]).
% 1.39/1.78 cnf('0.1336.0.0',plain,
% 1.39/1.78 ( true = ifeq(true,true,ifeq(product(X1,X2,X3),true,ifeq(product(X4,X1,X5),true,product(X4,X3,multiply(X5,X2)),true),true),true) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.15.2.0','0.4.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.1336.0.1',plain,
% 1.39/1.78 ( true = ifeq(product(X1,X2,X3),true,ifeq(product(X4,X1,X5),true,product(X4,X3,multiply(X5,X2)),true),true) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.1336.0.0','0.1.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.1336.1.0',plain,
% 1.39/1.78 ( true = ifeq(product(X1,X2,X3),true,ifeq(product(X4,X1,X5),true,product(X4,X3,multiply(X5,X2)),true),true) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.1336.0.1']),
% 1.39/1.78 [weight('<?,15,4,[1,0,0,1]>')]).
% 1.39/1.78 cnf('0.1336.2.0',plain,
% 1.39/1.78 ( ifeq(product(X1,X2,X3),true,ifeq(product(X4,X1,X5),true,product(X4,X3,multiply(X5,X2)),true),true) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.1336.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_1336]).
% 1.39/1.78 cnf('0.1392.0.0',plain,
% 1.39/1.78 ( true = ifeq(product(inverse(X1),X2,X3),true,ifeq(true,true,product(X1,X3,multiply(identity,X2)),true),true) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.1336.2.0','0.6.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.3.1','L')]).
% 1.39/1.78 cnf('0.1392.0.1',plain,
% 1.39/1.78 ( true = ifeq(product(inverse(X1),X2,X3),true,product(X1,X3,multiply(identity,X2)),true) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.1392.0.0','0.1.2.0',theory(equality)]),
% 1.39/1.78 [pos('R.3','L')]).
% 1.39/1.78 cnf('0.1392.0.2',plain,
% 1.39/1.78 ( true = ifeq(product(inverse(X1),X2,X3),true,product(X1,X3,X2),true) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.1392.0.1','0.25.2.0',theory(equality)]),
% 1.39/1.78 [pos('R.3.3','L')]).
% 1.39/1.78 cnf('0.1392.1.0',plain,
% 1.39/1.78 ( true = ifeq(product(inverse(X1),X2,X3),true,product(X1,X3,X2),true) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.1392.0.2']),
% 1.39/1.78 [weight('<181,1336,6,[1,0,0,7]>')]).
% 1.39/1.78 cnf('0.1392.2.0',plain,
% 1.39/1.78 ( ifeq(product(inverse(X1),X2,X3),true,product(X1,X3,X2),true) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.1392.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_1392]).
% 1.39/1.78 cnf('0.1407.0.0',plain,
% 1.39/1.78 ( true = ifeq(true,true,product(X1,multiply(inverse(X1),X2),X2),true) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.1392.2.0','0.4.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.1407.0.1',plain,
% 1.39/1.78 ( true = product(X1,multiply(inverse(X1),X2),X2) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.1407.0.0','0.1.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.1407.1.0',plain,
% 1.39/1.78 ( true = product(X1,multiply(inverse(X1),X2),X2) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.1407.0.1']),
% 1.39/1.78 [weight('<71,1392,4,[1,0,0,1]>')]).
% 1.39/1.78 cnf('0.1407.2.0',plain,
% 1.39/1.78 ( product(X1,multiply(inverse(X1),X2),X2) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.1407.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_1407]).
% 1.39/1.78 cnf('0.1408.0.0',plain,
% 1.39/1.78 ( X1 = ifeq2(true,true,multiply(X2,multiply(inverse(X2),X1)),X1) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.49.2.0','0.1407.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.1408.0.1',plain,
% 1.39/1.78 ( X1 = multiply(X2,multiply(inverse(X2),X1)) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.1408.0.0','0.2.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.1408.1.0',plain,
% 1.39/1.78 ( X1 = multiply(X2,multiply(inverse(X2),X1)) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.1408.0.1']),
% 1.39/1.78 [weight('<55,1407,49,[0,0,0,1]>')]).
% 1.39/1.78 cnf('0.1408.2.0',plain,
% 1.39/1.78 ( multiply(X1,multiply(inverse(X1),X2)) = X2 ),
% 1.39/1.78 inference(orient,[status(thm)],['0.1408.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_1408]).
% 1.39/1.78 cnf('0.1409.0.0',plain,
% 1.39/1.78 ( inverse(multiply(b,c)) = multiply(c,a) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.1408.2.0','0.235.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.2','L')]).
% 1.39/1.78 cnf('0.1409.1.0',plain,
% 1.39/1.78 ( inverse(multiply(b,c)) = multiply(c,a) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.1409.0.0']),
% 1.39/1.78 [weight('<39,1408,235,[1,0,0,2]>')]).
% 1.39/1.78 cnf('0.1409.2.0',plain,
% 1.39/1.78 ( inverse(multiply(b,c)) = multiply(c,a) ),
% 1.39/1.78 inference(orient,[status(thm)],['0.1409.1.0',theory(equality)]),
% 1.39/1.78 [u,rule_1409]).
% 1.39/1.78 cnf('0.1413.0.0',plain,
% 1.39/1.78 ( multiply(b,c) = inverse(multiply(c,a)) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.132.2.0','0.1409.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.1413.1.0',plain,
% 1.39/1.78 ( multiply(b,c) = inverse(multiply(c,a)) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.1413.0.0']),
% 1.39/1.78 [weight('<39,1409,132,[0,0,0,1]>')]).
% 1.39/1.78 cnf('0.1413.2.0',plain,
% 1.39/1.78 ( inverse(multiply(c,a)) = multiply(b,c) ),
% 1.39/1.78 inference(orient,[status(thm)],['0.1413.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_1413]).
% 1.39/1.78 cnf('0.1433.0.0',plain,
% 1.39/1.78 ( X1 = multiply(inverse(X2),multiply(X2,X1)) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.1408.2.0','0.132.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.2.1','L')]).
% 1.39/1.78 cnf('0.1433.1.0',plain,
% 1.39/1.78 ( X1 = multiply(inverse(X2),multiply(X2,X1)) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.1433.0.0']),
% 1.39/1.78 [weight('<55,1408,132,[1,0,0,3]>')]).
% 1.39/1.78 cnf('0.1433.2.0',plain,
% 1.39/1.78 ( multiply(inverse(X1),multiply(X1,X2)) = X2 ),
% 1.39/1.78 inference(orient,[status(thm)],['0.1433.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_1433]).
% 1.39/1.78 cnf('0.1463.0.0',plain,
% 1.39/1.78 ( inverse(X1) = multiply(X2,inverse(multiply(X1,X2))) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.145.2.0','0.1433.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.1463.1.0',plain,
% 1.39/1.78 ( inverse(X1) = multiply(X2,inverse(multiply(X1,X2))) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.1463.0.0']),
% 1.39/1.78 [weight('<62,1433,145,[0,0,0,1]>')]).
% 1.39/1.78 cnf('0.1463.2.0',plain,
% 1.39/1.78 ( multiply(X1,inverse(multiply(X2,X1))) = inverse(X2) ),
% 1.39/1.78 inference(orient,[status(thm)],['0.1463.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_1463]).
% 1.39/1.78 cnf('0.1464.0.0',plain,
% 1.39/1.78 ( inverse(multiply(X1,X2)) = multiply(inverse(X2),inverse(X1)) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.1463.2.0','0.145.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.2.1','L')]).
% 1.39/1.78 cnf('0.1464.1.0',plain,
% 1.39/1.78 ( inverse(multiply(X1,X2)) = multiply(inverse(X2),inverse(X1)) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.1464.0.0']),
% 1.39/1.78 [weight('<59,1463,145,[1,0,0,3]>')]).
% 1.39/1.78 cnf('0.1464.2.0',plain,
% 1.39/1.78 ( multiply(inverse(X1),inverse(X2)) = inverse(multiply(X2,X1)) ),
% 1.39/1.78 inference(orient,[status(thm)],['0.1464.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_1464]).
% 1.39/1.78 cnf('0.1465.0.0',plain,
% 1.39/1.78 ( inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.1463.2.0','0.148.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.2.1','L')]).
% 1.39/1.78 cnf('0.1465.1.0',plain,
% 1.39/1.78 ( inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.1465.0.0']),
% 1.39/1.78 [weight('<59,1463,148,[1,0,0,3]>')]).
% 1.39/1.78 cnf('0.1465.2.0',plain,
% 1.39/1.78 ( inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)) ),
% 1.39/1.78 inference(orient,[status(thm)],['0.1465.1.0',theory(equality)]),
% 1.39/1.78 [u,rule_1465]).
% 1.39/1.78 cnf('0.1467.0.0',plain,
% 1.39/1.78 ( inverse(X1) = multiply(inverse(multiply(X2,X1)),X2) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.1433.2.0','0.145.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.2','L')]).
% 1.39/1.78 cnf('0.1467.1.0',plain,
% 1.39/1.78 ( inverse(X1) = multiply(inverse(multiply(X2,X1)),X2) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.1467.0.0']),
% 1.39/1.78 [weight('<62,1433,145,[1,0,0,3]>')]).
% 1.39/1.78 cnf('0.1467.2.0',plain,
% 1.39/1.78 ( multiply(inverse(multiply(X1,X2)),X1) = inverse(X2) ),
% 1.39/1.78 inference(orient,[status(thm)],['0.1467.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_1467]).
% 1.39/1.78 cnf('0.1656.0.0',plain,
% 1.39/1.78 ( multiply(multiply(c,a),inverse(multiply(d,inverse(c)))) = k ),
% 1.39/1.78 inference(interreduction_right,[status(thm)],['0.1077.2.0'])).
% 1.39/1.78 cnf('0.1656.0.1',plain,
% 1.39/1.78 ( multiply(multiply(c,a),multiply(c,inverse(d))) = k ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.1656.0.0','0.1465.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.2','L')]).
% 1.39/1.78 cnf('0.1656.0.2',plain,
% 1.39/1.78 ( multiply(multiply(c,a),multiply(a,inverse(h))) = k ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.1656.0.1','0.688.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.2','L')]).
% 1.39/1.78 cnf('0.1656.1.0',plain,
% 1.39/1.78 ( multiply(multiply(c,a),multiply(a,inverse(h))) = k ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.1656.0.2']),
% 1.39/1.78 [weight('<89,1077,1465,[0,0,0,0]>')]).
% 1.39/1.78 cnf('0.1656.2.0',plain,
% 1.39/1.78 ( multiply(multiply(c,a),multiply(a,inverse(h))) = k ),
% 1.39/1.78 inference(orient,[status(thm)],['0.1656.1.0',theory(equality)]),
% 1.39/1.78 [u,rule_1656]).
% 1.39/1.78 cnf('0.1708.0.0',plain,
% 1.39/1.78 ( inverse(inverse(c)) = multiply(inverse(multiply(X1,inverse(d))),multiply(X1,a)) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.1467.2.0','0.589.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1.1','L')]).
% 1.39/1.78 cnf('0.1708.0.1',plain,
% 1.39/1.78 ( c = multiply(inverse(multiply(X1,inverse(d))),multiply(X1,a)) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.1708.0.0','0.132.2.0',theory(equality)]),
% 1.39/1.78 [pos('L','L')]).
% 1.39/1.78 cnf('0.1708.0.2',plain,
% 1.39/1.78 ( c = multiply(multiply(d,inverse(X1)),multiply(X1,a)) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.1708.0.1','0.1465.2.0',theory(equality)]),
% 1.39/1.78 [pos('R.1','L')]).
% 1.39/1.78 cnf('0.1708.1.0',plain,
% 1.39/1.78 ( c = multiply(multiply(d,inverse(X1)),multiply(X1,a)) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.1708.0.2']),
% 1.39/1.78 [weight('<89,1467,589,[1,0,0,2]>')]).
% 1.39/1.78 cnf('0.1708.2.0',plain,
% 1.39/1.78 ( multiply(multiply(d,inverse(X1)),multiply(X1,a)) = c ),
% 1.39/1.78 inference(orient,[status(thm)],['0.1708.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_1708]).
% 1.39/1.78 cnf('0.1753.0.0',plain,
% 1.39/1.78 ( inverse(multiply(X1,multiply(c,a))) = multiply(multiply(b,c),inverse(X1)) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.1464.2.0','0.1413.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.1753.1.0',plain,
% 1.39/1.78 ( inverse(multiply(X1,multiply(c,a))) = multiply(multiply(b,c),inverse(X1)) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.1753.0.0']),
% 1.39/1.78 [weight('<90,1464,1413,[1,0,0,1]>')]).
% 1.39/1.78 cnf('0.1753.2.0',plain,
% 1.39/1.78 ( inverse(multiply(X1,multiply(c,a))) = multiply(multiply(b,c),inverse(X1)) ),
% 1.39/1.78 inference(orient,[status(thm)],['0.1753.1.0',theory(equality)]),
% 1.39/1.78 [u,rule_1753]).
% 1.39/1.78 cnf('0.1825.0.0',plain,
% 1.39/1.78 ( multiply(multiply(b,c),inverse(multiply(d,inverse(c)))) = inverse(c) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.1753.2.0','0.1708.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.1825.0.1',plain,
% 1.39/1.78 ( multiply(multiply(b,c),multiply(c,inverse(d))) = inverse(c) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.1825.0.0','0.1465.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.2','L')]).
% 1.39/1.78 cnf('0.1825.0.2',plain,
% 1.39/1.78 ( multiply(multiply(b,c),multiply(a,inverse(h))) = inverse(c) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.1825.0.1','0.688.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.2','L')]).
% 1.39/1.78 cnf('0.1825.1.0',plain,
% 1.39/1.78 ( multiply(multiply(b,c),multiply(a,inverse(h))) = inverse(c) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.1825.0.2']),
% 1.39/1.78 [weight('<98,1753,1708,[1,0,0,1]>')]).
% 1.39/1.78 cnf('0.1825.2.0',plain,
% 1.39/1.78 ( multiply(multiply(b,c),multiply(a,inverse(h))) = inverse(c) ),
% 1.39/1.78 inference(orient,[status(thm)],['0.1825.1.0',theory(equality)]),
% 1.39/1.78 [u,rule_1825]).
% 1.39/1.78 cnf('0.2560.0.0',plain,
% 1.39/1.78 ( true = ifeq(true,true,ifeq(product(X1,X2,X3),true,product(X3,X4,multiply(X1,multiply(X2,X4))),true),true) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.61.2.0','0.4.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.2560.0.1',plain,
% 1.39/1.78 ( true = ifeq(product(X1,X2,X3),true,product(X3,X4,multiply(X1,multiply(X2,X4))),true) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.2560.0.0','0.1.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.2560.1.0',plain,
% 1.39/1.78 ( true = ifeq(product(X1,X2,X3),true,product(X3,X4,multiply(X1,multiply(X2,X4))),true) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.2560.0.1']),
% 1.39/1.78 [weight('<?,61,4,[1,0,0,1]>')]).
% 1.39/1.78 cnf('0.2560.2.0',plain,
% 1.39/1.78 ( ifeq(product(X1,X2,X3),true,product(X3,X4,multiply(X1,multiply(X2,X4))),true) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.2560.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_2560]).
% 1.39/1.78 cnf('0.2561.0.0',plain,
% 1.39/1.78 ( true = ifeq(true,true,product(inverse(X1),X2,multiply(X1,multiply(X1,X2))),true) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.2560.2.0','0.147.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.2561.0.1',plain,
% 1.39/1.78 ( true = product(inverse(X1),X2,multiply(X1,multiply(X1,X2))) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.2561.0.0','0.1.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.2561.1.0',plain,
% 1.39/1.78 ( true = product(inverse(X1),X2,multiply(X1,multiply(X1,X2))) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.2561.0.1']),
% 1.39/1.78 [weight('<109,2560,147,[1,0,0,1]>')]).
% 1.39/1.78 cnf('0.2561.2.0',plain,
% 1.39/1.78 ( product(inverse(X1),X2,multiply(X1,multiply(X1,X2))) = true ),
% 1.39/1.78 inference(orient,[status(thm)],['0.2561.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_2561]).
% 1.39/1.78 cnf('0.2567.0.0',plain,
% 1.39/1.78 ( multiply(X1,multiply(X1,X2)) = ifeq2(true,true,multiply(inverse(X1),X2),multiply(X1,multiply(X1,X2))) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.49.2.0','0.2561.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.2567.0.1',plain,
% 1.39/1.78 ( multiply(X1,multiply(X1,X2)) = multiply(inverse(X1),X2) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.2567.0.0','0.2.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.2567.1.0',plain,
% 1.39/1.78 ( multiply(X1,multiply(X1,X2)) = multiply(inverse(X1),X2) ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.2567.0.1']),
% 1.39/1.78 [weight('<59,2561,49,[0,0,0,1]>')]).
% 1.39/1.78 cnf('0.2567.2.0',plain,
% 1.39/1.78 ( multiply(X1,multiply(X1,X2)) = multiply(inverse(X1),X2) ),
% 1.39/1.78 inference(orient,[status(thm)],['0.2567.1.0',theory(equality)]),
% 1.39/1.78 [u,rule_2567]).
% 1.39/1.78 cnf('0.2568.0.0',plain,
% 1.39/1.78 ( multiply(inverse(multiply(b,c)),multiply(a,inverse(h))) = multiply(multiply(b,c),inverse(c)) ),
% 1.39/1.78 inference(cp,[status(thm)],['0.2567.2.0','0.1825.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.2','L')]).
% 1.39/1.78 cnf('0.2568.0.1',plain,
% 1.39/1.78 ( multiply(multiply(c,a),multiply(a,inverse(h))) = multiply(multiply(b,c),inverse(c)) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.2568.0.0','0.1409.2.0',theory(equality)]),
% 1.39/1.78 [pos('L.1','L')]).
% 1.39/1.78 cnf('0.2568.0.2',plain,
% 1.39/1.78 ( k = multiply(multiply(b,c),inverse(c)) ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.2568.0.1','0.1656.2.0',theory(equality)]),
% 1.39/1.78 [pos('L','L')]).
% 1.39/1.78 cnf('0.2568.0.3',plain,
% 1.39/1.78 ( k = b ),
% 1.39/1.78 inference(reduction,[status(thm)],['0.2568.0.2','0.145.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('0.2568.1.0',plain,
% 1.39/1.78 ( k = b ),
% 1.39/1.78 inference(weigh,[status(thm)],['0.2568.0.3']),
% 1.39/1.78 [weight('<5,2567,1825,[1,0,0,2]>')]).
% 1.39/1.78 cnf('0.2568.2.0',plain,
% 1.39/1.78 ( b = k ),
% 1.39/1.78 inference(orient,[status(thm)],['0.2568.1.0',theory(equality)]),
% 1.39/1.78 [x,rule_2568]).
% 1.39/1.78 cnf('1.0.0.0',conjecture,
% 1.39/1.78 ( true = product(k,inverse(b),identity) ),
% 1.39/1.78 file('/tmp/WALDMEISTER_22392_n016',conjecture_1)).
% 1.39/1.78 cnf('1.0.0.1',plain,
% 1.39/1.78 ( true = product(k,inverse(k),identity) ),
% 1.39/1.78 inference(reduction,[status(thm)],['1.0.0.0','0.2568.2.0',theory(equality)]),
% 1.39/1.78 [pos('R.2.1','L')]).
% 1.39/1.78 cnf('1.0.0.2',plain,
% 1.39/1.78 ( true = true ),
% 1.39/1.78 inference(reduction,[status(thm)],['1.0.0.1','0.6.2.0',theory(equality)]),
% 1.39/1.78 [pos('R','L')]).
% 1.39/1.78 cnf('1.0.0.3',plain,
% 1.39/1.78 ( $true ),
% 1.39/1.78 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 1.39/1.78 [conjecture_1]).
% 1.39/1.78
% 1.39/1.78 Proved Goals:
% 1.39/1.78 No. 1: true ?= product(k,inverse(b),identity) joined, current: true = true
% 1.39/1.78 1 goal was specified, which was proved.
% 1.39/1.78 % SZS output end CNFRefutation
% 1.39/1.78 #END OF PROOF
% 1.39/1.78
% 1.39/1.78 Problem WALDMEISTER_22392_n016
% 1.39/1.78 CPs.gen 138544
% 1.39/1.78 CPs.reexp 0
% 1.39/1.78 Select 7132
% 1.39/1.78 R 2568
% 1.39/1.78 E 0
% 1.39/1.78 vsize 8.7M
% 1.39/1.78 rss 6.0M
% 1.39/1.78 process.time 0.821s
% 1.39/1.78 wallclock.time 0.821s
% 1.39/1.78 status S
% 1.39/1.78
% 1.39/1.78
% 1.39/1.78 Waldmeister states: Goal proved.
% 1.39/1.78 % SZS status Unsatisfiable
%------------------------------------------------------------------------------