%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP002-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n021.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 12:24:00 EDT 2022
% Result : Unsatisfiable 0.57s 0.99s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP002-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.04/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 06:53:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.57/0.98 ********************************************************************************
% 0.57/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.98 * |/ | \/ | *
% 0.57/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.98 * A. Jaeger and B. Loechner | | *
% 0.57/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.98 ********************************************************************************
% 0.57/0.98
% 0.57/0.98
% 0.57/0.98 Goals:
% 0.57/0.98 ------
% 0.57/0.98
% 0.57/0.98 ( 1) multiply(k,inverse(b)) ?=? identity
% 0.57/0.98
% 0.57/0.98 Detected structure: Gruppe
% 0.57/0.98 ********************************************************************************
% 0.57/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.98 ********************************************************************************
% 0.57/0.98
% 0.57/0.99 joined goal: 1 multiply(k,inverse(b)) ?= identity to identity
% 0.57/0.99 goal joined
% 0.57/0.99 % SZS status Unsatisfiable
% 0.57/0.99 #START OF PROOF
% 0.57/0.99 % SZS output start CNFRefutation
% 0.57/0.99 cnf('0.1.0.0',axiom,
% 0.57/0.99 ( X1 = multiply(X1,identity) ),
% 0.57/0.99 file('/tmp/WALDMEISTER_32205_n021')).
% 0.57/0.99 cnf('0.1.1.0',plain,
% 0.57/0.99 ( X1 = multiply(X1,identity) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.57/0.99 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.57/0.99 cnf('0.1.2.0',plain,
% 0.57/0.99 ( multiply(X1,identity) = X1 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_1]).
% 0.57/0.99 cnf('0.2.0.0',axiom,
% 0.57/0.99 ( X1 = multiply(identity,X1) ),
% 0.57/0.99 file('/tmp/WALDMEISTER_32205_n021')).
% 0.57/0.99 cnf('0.2.1.0',plain,
% 0.57/0.99 ( X1 = multiply(identity,X1) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.57/0.99 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.57/0.99 cnf('0.2.2.0',plain,
% 0.57/0.99 ( multiply(identity,X1) = X1 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_2]).
% 0.57/0.99 cnf('0.3.0.0',axiom,
% 0.57/0.99 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.57/0.99 file('/tmp/WALDMEISTER_32205_n021')).
% 0.57/0.99 cnf('0.3.1.0',plain,
% 0.57/0.99 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.57/0.99 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.57/0.99 cnf('0.3.2.0',plain,
% 0.57/0.99 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_3]).
% 0.57/0.99 cnf('0.4.0.0',axiom,
% 0.57/0.99 ( multiply(X1,multiply(X1,X1)) = identity ),
% 0.57/0.99 file('/tmp/WALDMEISTER_32205_n021')).
% 0.57/0.99 cnf('0.4.1.0',plain,
% 0.57/0.99 ( multiply(X1,multiply(X1,X1)) = identity ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.57/0.99 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.57/0.99 cnf('0.4.2.0',plain,
% 0.57/0.99 ( multiply(X1,multiply(X1,X1)) = identity ),
% 0.57/0.99 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_4]).
% 0.57/0.99 cnf('0.5.0.0',axiom,
% 0.57/0.99 ( multiply(X1,inverse(X1)) = identity ),
% 0.57/0.99 file('/tmp/WALDMEISTER_32205_n021')).
% 0.57/0.99 cnf('0.5.1.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(X1)) = identity ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.57/0.99 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.57/0.99 cnf('0.5.2.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(X1)) = identity ),
% 0.57/0.99 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_5]).
% 0.57/0.99 cnf('0.6.0.0',axiom,
% 0.57/0.99 ( multiply(inverse(X1),X1) = identity ),
% 0.57/0.99 file('/tmp/WALDMEISTER_32205_n021')).
% 0.57/0.99 cnf('0.6.1.0',plain,
% 0.57/0.99 ( multiply(inverse(X1),X1) = identity ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.57/0.99 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.57/0.99 cnf('0.6.2.0',plain,
% 0.57/0.99 ( multiply(inverse(X1),X1) = identity ),
% 0.57/0.99 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_6]).
% 0.57/0.99 cnf('0.7.0.0',axiom,
% 0.57/0.99 ( multiply(h,b) = j ),
% 0.57/0.99 file('/tmp/WALDMEISTER_32205_n021')).
% 0.57/0.99 cnf('0.7.1.0',plain,
% 0.57/0.99 ( multiply(h,b) = j ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.57/0.99 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.57/0.99 cnf('0.7.2.0',plain,
% 0.57/0.99 ( multiply(h,b) = j ),
% 0.57/0.99 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_7]).
% 0.57/0.99 cnf('0.8.0.0',axiom,
% 0.57/0.99 ( multiply(c,inverse(a)) = d ),
% 0.57/0.99 file('/tmp/WALDMEISTER_32205_n021')).
% 0.57/0.99 cnf('0.8.1.0',plain,
% 0.57/0.99 ( multiply(c,inverse(a)) = d ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.57/0.99 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.57/0.99 cnf('0.8.2.0',plain,
% 0.57/0.99 ( multiply(c,inverse(a)) = d ),
% 0.57/0.99 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_8]).
% 0.57/0.99 cnf('0.9.0.0',axiom,
% 0.57/0.99 ( multiply(j,inverse(h)) = k ),
% 0.57/0.99 file('/tmp/WALDMEISTER_32205_n021')).
% 0.57/0.99 cnf('0.9.1.0',plain,
% 0.57/0.99 ( multiply(j,inverse(h)) = k ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.57/0.99 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.57/0.99 cnf('0.9.2.0',plain,
% 0.57/0.99 ( multiply(j,inverse(h)) = k ),
% 0.57/0.99 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_9]).
% 0.57/0.99 cnf('0.10.0.0',axiom,
% 0.57/0.99 ( multiply(d,inverse(b)) = h ),
% 0.57/0.99 file('/tmp/WALDMEISTER_32205_n021')).
% 0.57/0.99 cnf('0.10.1.0',plain,
% 0.57/0.99 ( multiply(d,inverse(b)) = h ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.57/0.99 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.57/0.99 cnf('0.10.2.0',plain,
% 0.57/0.99 ( multiply(d,inverse(b)) = h ),
% 0.57/0.99 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_10]).
% 0.57/0.99 cnf('0.11.0.0',axiom,
% 0.57/0.99 ( multiply(a,b) = c ),
% 0.57/0.99 file('/tmp/WALDMEISTER_32205_n021')).
% 0.57/0.99 cnf('0.11.1.0',plain,
% 0.57/0.99 ( multiply(a,b) = c ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.57/0.99 [weight('<10,0,0,[0,0,0,11]>')]).
% 0.57/0.99 cnf('0.11.2.0',plain,
% 0.57/0.99 ( multiply(a,b) = c ),
% 0.57/0.99 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_11]).
% 0.57/0.99 cnf('0.19.0.0',plain,
% 0.57/0.99 ( multiply(X1,multiply(inverse(X1),X2)) = multiply(identity,X2) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.3.2.0','0.5.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1','L')]).
% 0.57/0.99 cnf('0.19.0.1',plain,
% 0.57/0.99 ( multiply(X1,multiply(inverse(X1),X2)) = X2 ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.19.0.0','0.2.2.0',theory(equality)]),
% 0.57/0.99 [pos('R','L')]).
% 0.57/0.99 cnf('0.19.1.0',plain,
% 0.57/0.99 ( multiply(X1,multiply(inverse(X1),X2)) = X2 ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.19.0.1']),
% 0.57/0.99 [weight('<6,5,3,[0,0,0,1]>')]).
% 0.57/0.99 cnf('0.19.2.0',plain,
% 0.57/0.99 ( multiply(X1,multiply(inverse(X1),X2)) = X2 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_19]).
% 0.57/0.99 cnf('0.20.0.0',plain,
% 0.57/0.99 ( inverse(inverse(X1)) = multiply(X1,identity) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.19.2.0','0.5.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.20.0.1',plain,
% 0.57/0.99 ( inverse(inverse(X1)) = X1 ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.20.0.0','0.1.2.0',theory(equality)]),
% 0.57/0.99 [pos('R','L')]).
% 0.57/0.99 cnf('0.20.1.0',plain,
% 0.57/0.99 ( inverse(inverse(X1)) = X1 ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.57/0.99 [weight('<3,19,5,[1,0,0,2]>')]).
% 0.57/0.99 cnf('0.20.2.0',plain,
% 0.57/0.99 ( inverse(inverse(X1)) = X1 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_20]).
% 0.57/0.99 cnf('0.21.0.0',plain,
% 0.57/0.99 ( multiply(inverse(X1),inverse(X1)) = multiply(X1,identity) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.19.2.0','0.4.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.21.0.1',plain,
% 0.57/0.99 ( multiply(inverse(X1),inverse(X1)) = X1 ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.21.0.0','0.1.2.0',theory(equality)]),
% 0.57/0.99 [pos('R','L')]).
% 0.57/0.99 cnf('0.21.1.0',plain,
% 0.57/0.99 ( multiply(inverse(X1),inverse(X1)) = X1 ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.21.0.1']),
% 0.57/0.99 [weight('<5,19,4,[1,0,0,2]>')]).
% 0.57/0.99 cnf('0.21.2.0',plain,
% 0.57/0.99 ( multiply(inverse(X1),inverse(X1)) = X1 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_21]).
% 0.57/0.99 cnf('0.22.0.0',plain,
% 0.57/0.99 ( inverse(X1) = multiply(X1,X1) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.19.2.0','0.21.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.22.1.0',plain,
% 0.57/0.99 ( inverse(X1) = multiply(X1,X1) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.57/0.99 [weight('<3,21,19,[0,0,0,2]>')]).
% 0.57/0.99 cnf('0.22.2.0',plain,
% 0.57/0.99 ( multiply(X1,X1) = inverse(X1) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_22]).
% 0.57/0.99 cnf('0.25.0.0',plain,
% 0.57/0.99 ( multiply(X1,multiply(X1,X2)) = multiply(inverse(X1),X2) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.3.2.0','0.22.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1','L')]).
% 0.57/0.99 cnf('0.25.1.0',plain,
% 0.57/0.99 ( multiply(X1,multiply(X1,X2)) = multiply(inverse(X1),X2) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.57/0.99 [weight('<5,22,3,[0,0,0,1]>')]).
% 0.57/0.99 cnf('0.25.2.0',plain,
% 0.57/0.99 ( multiply(X1,multiply(X1,X2)) = multiply(inverse(X1),X2) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_25]).
% 0.57/0.99 cnf('0.26.0.0',plain,
% 0.57/0.99 ( multiply(inverse(h),b) = multiply(h,j) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.25.2.0','0.7.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.26.1.0',plain,
% 0.57/0.99 ( multiply(inverse(h),b) = multiply(h,j) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.57/0.99 [weight('<4,25,7,[1,0,0,2]>')]).
% 0.57/0.99 cnf('0.26.2.0',plain,
% 0.57/0.99 ( multiply(inverse(h),b) = multiply(h,j) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_26]).
% 0.57/0.99 cnf('0.27.0.0',plain,
% 0.57/0.99 ( multiply(inverse(a),b) = multiply(a,c) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.25.2.0','0.11.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.27.1.0',plain,
% 0.57/0.99 ( multiply(inverse(a),b) = multiply(a,c) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.57/0.99 [weight('<4,25,11,[1,0,0,2]>')]).
% 0.57/0.99 cnf('0.27.2.0',plain,
% 0.57/0.99 ( multiply(inverse(a),b) = multiply(a,c) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_27]).
% 0.57/0.99 cnf('0.28.0.0',plain,
% 0.57/0.99 ( b = multiply(h,multiply(h,j)) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.19.2.0','0.26.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.28.0.1',plain,
% 0.57/0.99 ( b = multiply(inverse(h),j) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.28.0.0','0.25.2.0',theory(equality)]),
% 0.57/0.99 [pos('R','L')]).
% 0.57/0.99 cnf('0.28.1.0',plain,
% 0.57/0.99 ( b = multiply(inverse(h),j) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.28.0.1']),
% 0.57/0.99 [weight('<4,26,19,[0,0,0,2]>')]).
% 0.57/0.99 cnf('0.28.2.0',plain,
% 0.57/0.99 ( multiply(inverse(h),j) = b ),
% 0.57/0.99 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_28]).
% 0.57/0.99 cnf('0.29.0.0',plain,
% 0.57/0.99 ( b = multiply(a,multiply(a,c)) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.19.2.0','0.27.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.29.0.1',plain,
% 0.57/0.99 ( b = multiply(inverse(a),c) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.29.0.0','0.25.2.0',theory(equality)]),
% 0.57/0.99 [pos('R','L')]).
% 0.57/0.99 cnf('0.29.1.0',plain,
% 0.57/0.99 ( b = multiply(inverse(a),c) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.29.0.1']),
% 0.57/0.99 [weight('<4,27,19,[0,0,0,2]>')]).
% 0.57/0.99 cnf('0.29.2.0',plain,
% 0.57/0.99 ( multiply(inverse(a),c) = b ),
% 0.57/0.99 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_29]).
% 0.57/0.99 cnf('0.34.0.0',plain,
% 0.57/0.99 ( multiply(inverse(d),inverse(b)) = multiply(d,h) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.25.2.0','0.10.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.34.1.0',plain,
% 0.57/0.99 ( multiply(inverse(d),inverse(b)) = multiply(d,h) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.34.0.0']),
% 0.57/0.99 [weight('<5,25,10,[1,0,0,2]>')]).
% 0.57/0.99 cnf('0.34.2.0',plain,
% 0.57/0.99 ( multiply(inverse(d),inverse(b)) = multiply(d,h) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_34]).
% 0.57/0.99 cnf('0.35.0.0',plain,
% 0.57/0.99 ( inverse(b) = multiply(d,multiply(d,h)) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.19.2.0','0.34.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.35.0.1',plain,
% 0.57/0.99 ( inverse(b) = multiply(inverse(d),h) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.35.0.0','0.25.2.0',theory(equality)]),
% 0.57/0.99 [pos('R','L')]).
% 0.57/0.99 cnf('0.35.1.0',plain,
% 0.57/0.99 ( inverse(b) = multiply(inverse(d),h) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.35.0.1']),
% 0.57/0.99 [weight('<4,34,19,[0,0,0,2]>')]).
% 0.57/0.99 cnf('0.35.2.0',plain,
% 0.57/0.99 ( multiply(inverse(d),h) = inverse(b) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_35]).
% 0.57/0.99 cnf('0.42.0.0',plain,
% 0.57/0.99 ( multiply(inverse(X1),multiply(X1,X2)) = multiply(identity,X2) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.3.2.0','0.6.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1','L')]).
% 0.57/0.99 cnf('0.42.0.1',plain,
% 0.57/0.99 ( multiply(inverse(X1),multiply(X1,X2)) = X2 ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.42.0.0','0.2.2.0',theory(equality)]),
% 0.57/0.99 [pos('R','L')]).
% 0.57/0.99 cnf('0.42.1.0',plain,
% 0.57/0.99 ( multiply(inverse(X1),multiply(X1,X2)) = X2 ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.42.0.1']),
% 0.57/0.99 [weight('<6,6,3,[0,0,0,1]>')]).
% 0.57/0.99 cnf('0.42.2.0',plain,
% 0.57/0.99 ( multiply(inverse(X1),multiply(X1,X2)) = X2 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_42]).
% 0.57/0.99 cnf('0.43.0.0',plain,
% 0.57/0.99 ( multiply(c,multiply(inverse(a),X1)) = multiply(d,X1) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.3.2.0','0.8.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1','L')]).
% 0.57/0.99 cnf('0.43.1.0',plain,
% 0.57/0.99 ( multiply(c,multiply(inverse(a),X1)) = multiply(d,X1) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.43.0.0']),
% 0.57/0.99 [weight('<6,8,3,[0,0,0,1]>')]).
% 0.57/0.99 cnf('0.43.2.0',plain,
% 0.57/0.99 ( multiply(c,multiply(inverse(a),X1)) = multiply(d,X1) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_43]).
% 0.57/0.99 cnf('0.44.0.0',plain,
% 0.57/0.99 ( multiply(d,inverse(inverse(a))) = multiply(c,identity) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.43.2.0','0.5.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.44.0.1',plain,
% 0.57/0.99 ( multiply(d,a) = multiply(c,identity) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.44.0.0','0.20.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.44.0.2',plain,
% 0.57/0.99 ( multiply(d,a) = c ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.44.0.1','0.1.2.0',theory(equality)]),
% 0.57/0.99 [pos('R','L')]).
% 0.57/0.99 cnf('0.44.1.0',plain,
% 0.57/0.99 ( multiply(d,a) = c ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.44.0.2']),
% 0.57/0.99 [weight('<3,43,5,[1,0,0,2]>')]).
% 0.57/0.99 cnf('0.44.2.0',plain,
% 0.57/0.99 ( multiply(d,a) = c ),
% 0.57/0.99 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_44]).
% 0.57/0.99 cnf('0.49.0.0',plain,
% 0.57/0.99 ( a = multiply(inverse(d),c) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.42.2.0','0.44.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.49.1.0',plain,
% 0.57/0.99 ( a = multiply(inverse(d),c) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.49.0.0']),
% 0.57/0.99 [weight('<4,44,42,[0,0,0,3]>')]).
% 0.57/0.99 cnf('0.49.2.0',plain,
% 0.57/0.99 ( multiply(inverse(d),c) = a ),
% 0.57/0.99 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_49]).
% 0.57/0.99 cnf('0.52.0.0',plain,
% 0.57/0.99 ( multiply(d,b) = multiply(c,multiply(a,c)) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.43.2.0','0.27.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.52.1.0',plain,
% 0.57/0.99 ( multiply(d,b) = multiply(c,multiply(a,c)) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.52.0.0']),
% 0.57/0.99 [weight('<5,43,27,[1,0,0,2]>')]).
% 0.57/0.99 cnf('0.52.2.0',plain,
% 0.57/0.99 ( multiply(c,multiply(a,c)) = multiply(d,b) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_52]).
% 0.57/0.99 cnf('0.56.0.0',plain,
% 0.57/0.99 ( multiply(j,multiply(inverse(h),X1)) = multiply(k,X1) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.3.2.0','0.9.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1','L')]).
% 0.57/0.99 cnf('0.56.1.0',plain,
% 0.57/0.99 ( multiply(j,multiply(inverse(h),X1)) = multiply(k,X1) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.56.0.0']),
% 0.57/0.99 [weight('<6,9,3,[0,0,0,1]>')]).
% 0.57/0.99 cnf('0.56.2.0',plain,
% 0.57/0.99 ( multiply(j,multiply(inverse(h),X1)) = multiply(k,X1) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_56]).
% 0.57/0.99 cnf('0.58.0.0',plain,
% 0.57/0.99 ( multiply(X1,multiply(X2,inverse(multiply(X1,X2)))) = identity ),
% 0.57/0.99 inference(cp,[status(thm)],['0.3.2.0','0.5.2.0',theory(equality)]),
% 0.57/0.99 [pos('L','L')]).
% 0.57/0.99 cnf('0.58.1.0',plain,
% 0.57/0.99 ( multiply(X1,multiply(X2,inverse(multiply(X1,X2)))) = identity ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.58.0.0']),
% 0.57/0.99 [weight('<?,5,3,[0,0,0,0]>')]).
% 0.57/0.99 cnf('0.58.2.0',plain,
% 0.57/0.99 ( multiply(X1,multiply(X2,inverse(multiply(X1,X2)))) = identity ),
% 0.57/0.99 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_58]).
% 0.57/0.99 cnf('0.59.0.0',plain,
% 0.57/0.99 ( multiply(k,j) = multiply(j,b) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.56.2.0','0.28.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.59.1.0',plain,
% 0.57/0.99 ( multiply(k,j) = multiply(j,b) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.59.0.0']),
% 0.57/0.99 [weight('<3,56,28,[1,0,0,2]>')]).
% 0.57/0.99 cnf('0.59.2.0',plain,
% 0.57/0.99 ( multiply(j,b) = multiply(k,j) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_59]).
% 0.57/0.99 cnf('0.64.0.0',plain,
% 0.57/0.99 ( identity = multiply(inverse(d),multiply(h,inverse(inverse(b)))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.58.2.0','0.35.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2.2.1','L')]).
% 0.57/0.99 cnf('0.64.0.1',plain,
% 0.57/0.99 ( identity = multiply(inverse(d),multiply(h,b)) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.64.0.0','0.20.2.0',theory(equality)]),
% 0.57/0.99 [pos('R.2.2','L')]).
% 0.57/0.99 cnf('0.64.0.2',plain,
% 0.57/0.99 ( identity = multiply(inverse(d),j) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.64.0.1','0.7.2.0',theory(equality)]),
% 0.57/0.99 [pos('R.2','L')]).
% 0.57/0.99 cnf('0.64.1.0',plain,
% 0.57/0.99 ( identity = multiply(inverse(d),j) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.64.0.2']),
% 0.57/0.99 [weight('<4,58,35,[1,0,0,5]>')]).
% 0.57/0.99 cnf('0.64.2.0',plain,
% 0.57/0.99 ( multiply(inverse(d),j) = identity ),
% 0.57/0.99 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_64]).
% 0.57/0.99 cnf('0.65.0.0',plain,
% 0.57/0.99 ( j = multiply(d,identity) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.19.2.0','0.64.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.65.0.1',plain,
% 0.57/0.99 ( j = d ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.65.0.0','0.1.2.0',theory(equality)]),
% 0.57/0.99 [pos('R','L')]).
% 0.57/0.99 cnf('0.65.1.0',plain,
% 0.57/0.99 ( j = d ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.65.0.1']),
% 0.57/0.99 [weight('<1,64,19,[0,0,0,2]>')]).
% 0.57/0.99 cnf('0.65.2.0',plain,
% 0.57/0.99 ( j = d ),
% 0.57/0.99 inference(orient,[status(thm)],['0.65.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_65]).
% 0.57/0.99 cnf('0.68.0.0',plain,
% 0.57/0.99 ( multiply(j,b) = multiply(k,j) ),
% 0.57/0.99 inference(interreduction_right,[status(thm)],['0.59.2.0'])).
% 0.57/0.99 cnf('0.68.0.1',plain,
% 0.57/0.99 ( multiply(d,b) = multiply(k,j) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.68.0.0','0.65.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1','L')]).
% 0.57/0.99 cnf('0.68.0.2',plain,
% 0.57/0.99 ( multiply(d,b) = multiply(k,d) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.68.0.1','0.65.2.0',theory(equality)]),
% 0.57/0.99 [pos('R.2','L')]).
% 0.57/0.99 cnf('0.68.1.0',plain,
% 0.57/0.99 ( multiply(d,b) = multiply(k,d) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.68.0.2']),
% 0.57/0.99 [weight('<3,59,65,[0,0,0,0]>')]).
% 0.57/0.99 cnf('0.68.2.0',plain,
% 0.57/0.99 ( multiply(d,b) = multiply(k,d) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_68]).
% 0.57/0.99 cnf('0.80.0.0',plain,
% 0.57/0.99 ( multiply(c,multiply(a,c)) = multiply(d,b) ),
% 0.57/0.99 inference(interreduction_right,[status(thm)],['0.52.2.0'])).
% 0.57/0.99 cnf('0.80.0.1',plain,
% 0.57/0.99 ( multiply(c,multiply(a,c)) = multiply(k,d) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.80.0.0','0.68.2.0',theory(equality)]),
% 0.57/0.99 [pos('R','L')]).
% 0.57/0.99 cnf('0.80.1.0',plain,
% 0.57/0.99 ( multiply(c,multiply(a,c)) = multiply(k,d) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.80.0.1']),
% 0.57/0.99 [weight('<5,52,68,[0,0,0,0]>')]).
% 0.57/0.99 cnf('0.80.2.0',plain,
% 0.57/0.99 ( multiply(c,multiply(a,c)) = multiply(k,d) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.80.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_80]).
% 0.57/0.99 cnf('0.89.0.0',plain,
% 0.57/0.99 ( multiply(inverse(a),multiply(c,X1)) = multiply(b,X1) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.3.2.0','0.29.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1','L')]).
% 0.57/0.99 cnf('0.89.1.0',plain,
% 0.57/0.99 ( multiply(inverse(a),multiply(c,X1)) = multiply(b,X1) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.89.0.0']),
% 0.57/0.99 [weight('<6,29,3,[0,0,0,1]>')]).
% 0.57/0.99 cnf('0.89.2.0',plain,
% 0.57/0.99 ( multiply(inverse(a),multiply(c,X1)) = multiply(b,X1) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.89.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_89]).
% 0.57/0.99 cnf('0.136.0.0',plain,
% 0.57/0.99 ( multiply(inverse(d),multiply(c,X1)) = multiply(a,X1) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.3.2.0','0.49.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1','L')]).
% 0.57/0.99 cnf('0.136.1.0',plain,
% 0.57/0.99 ( multiply(inverse(d),multiply(c,X1)) = multiply(a,X1) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.136.0.0']),
% 0.57/0.99 [weight('<6,49,3,[0,0,0,1]>')]).
% 0.57/0.99 cnf('0.136.2.0',plain,
% 0.57/0.99 ( multiply(inverse(d),multiply(c,X1)) = multiply(a,X1) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.136.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_136]).
% 0.57/0.99 cnf('0.137.0.0',plain,
% 0.57/0.99 ( multiply(a,c) = multiply(inverse(d),inverse(c)) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.136.2.0','0.22.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.137.1.0',plain,
% 0.57/0.99 ( multiply(a,c) = multiply(inverse(d),inverse(c)) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.137.0.0']),
% 0.57/0.99 [weight('<5,136,22,[1,0,0,3]>')]).
% 0.57/0.99 cnf('0.137.2.0',plain,
% 0.57/0.99 ( multiply(inverse(d),inverse(c)) = multiply(a,c) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.137.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_137]).
% 0.57/0.99 cnf('0.141.0.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(multiply(X2,X1))) = multiply(inverse(X2),identity) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.42.2.0','0.58.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.141.0.1',plain,
% 0.57/0.99 ( multiply(X1,inverse(multiply(X2,X1))) = inverse(X2) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.141.0.0','0.1.2.0',theory(equality)]),
% 0.57/0.99 [pos('R','L')]).
% 0.57/0.99 cnf('0.141.1.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(multiply(X2,X1))) = inverse(X2) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.141.0.1']),
% 0.57/0.99 [weight('<6,58,42,[0,0,0,3]>')]).
% 0.57/0.99 cnf('0.141.2.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(multiply(X2,X1))) = inverse(X2) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.141.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_141]).
% 0.57/0.99 cnf('0.142.0.0',plain,
% 0.57/0.99 ( inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.19.2.0','0.141.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.142.1.0',plain,
% 0.57/0.99 ( inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.142.0.0']),
% 0.57/0.99 [weight('<5,141,19,[0,0,0,2]>')]).
% 0.57/0.99 cnf('0.142.2.0',plain,
% 0.57/0.99 ( inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.142.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_142]).
% 0.57/0.99 cnf('0.151.0.0',plain,
% 0.57/0.99 ( multiply(c,inverse(inverse(d))) = inverse(multiply(a,c)) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.142.2.0','0.137.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1','L')]).
% 0.57/0.99 cnf('0.151.0.1',plain,
% 0.57/0.99 ( multiply(c,d) = inverse(multiply(a,c)) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.151.0.0','0.20.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.151.1.0',plain,
% 0.57/0.99 ( multiply(c,d) = inverse(multiply(a,c)) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.151.0.1']),
% 0.57/0.99 [weight('<4,142,137,[1,0,0,1]>')]).
% 0.57/0.99 cnf('0.151.2.0',plain,
% 0.57/0.99 ( inverse(multiply(a,c)) = multiply(c,d) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.151.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_151]).
% 0.57/0.99 cnf('0.160.0.0',plain,
% 0.57/0.99 ( multiply(X1,multiply(X2,multiply(X1,X2))) = inverse(multiply(X1,X2)) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.3.2.0','0.22.2.0',theory(equality)]),
% 0.57/0.99 [pos('L','L')]).
% 0.57/0.99 cnf('0.160.1.0',plain,
% 0.57/0.99 ( multiply(X1,multiply(X2,multiply(X1,X2))) = inverse(multiply(X1,X2)) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.160.0.0']),
% 0.57/0.99 [weight('<?,22,3,[0,0,0,0]>')]).
% 0.57/0.99 cnf('0.160.2.0',plain,
% 0.57/0.99 ( multiply(X1,multiply(X2,multiply(X1,X2))) = inverse(multiply(X1,X2)) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.160.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_160]).
% 0.57/0.99 cnf('0.171.0.0',plain,
% 0.57/0.99 ( inverse(multiply(a,c)) = multiply(a,multiply(k,d)) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.160.2.0','0.80.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.171.0.1',plain,
% 0.57/0.99 ( multiply(c,d) = multiply(a,multiply(k,d)) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.171.0.0','0.151.2.0',theory(equality)]),
% 0.57/0.99 [pos('L','L')]).
% 0.57/0.99 cnf('0.171.1.0',plain,
% 0.57/0.99 ( multiply(c,d) = multiply(a,multiply(k,d)) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.171.0.1']),
% 0.57/0.99 [weight('<5,160,80,[1,0,0,2]>')]).
% 0.57/0.99 cnf('0.171.2.0',plain,
% 0.57/0.99 ( multiply(a,multiply(k,d)) = multiply(c,d) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.171.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_171]).
% 0.57/0.99 cnf('0.172.0.0',plain,
% 0.57/0.99 ( multiply(k,d) = multiply(inverse(a),multiply(c,d)) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.42.2.0','0.171.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.172.0.1',plain,
% 0.57/0.99 ( multiply(k,d) = multiply(b,d) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.172.0.0','0.89.2.0',theory(equality)]),
% 0.57/0.99 [pos('R','L')]).
% 0.57/0.99 cnf('0.172.1.0',plain,
% 0.57/0.99 ( k = b ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.172.0.1']),
% 0.57/0.99 [weight('<1,171,42,[0,0,0,3]>')]).
% 0.57/0.99 cnf('0.172.2.0',plain,
% 0.57/0.99 ( b = k ),
% 0.57/0.99 inference(orient,[status(thm)],['0.172.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_172]).
% 0.57/0.99 cnf('1.0.0.0',conjecture,
% 0.57/0.99 ( multiply(k,inverse(b)) = identity ),
% 0.57/0.99 file('/tmp/WALDMEISTER_32205_n021',conjecture_1)).
% 0.57/0.99 cnf('1.0.0.1',plain,
% 0.57/0.99 ( multiply(k,inverse(k)) = identity ),
% 0.57/0.99 inference(reduction,[status(thm)],['1.0.0.0','0.172.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2.1','L')]).
% 0.57/0.99 cnf('1.0.0.2',plain,
% 0.57/0.99 ( identity = identity ),
% 0.57/0.99 inference(reduction,[status(thm)],['1.0.0.1','0.5.2.0',theory(equality)]),
% 0.57/0.99 [pos('L','L')]).
% 0.57/0.99 cnf('1.0.0.3',plain,
% 0.57/0.99 ( $true ),
% 0.57/0.99 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.57/0.99 [conjecture_1]).
% 0.57/0.99
% 0.57/0.99 Proved Goals:
% 0.57/0.99 No. 1: multiply(k,inverse(b)) ?= identity joined, current: identity = identity
% 0.57/0.99 1 goal was specified, which was proved.
% 0.57/0.99 % SZS output end CNFRefutation
% 0.57/0.99 #END OF PROOF
% 0.57/0.99
% 0.57/0.99 Problem WALDMEISTER_32205_n021
% 0.57/0.99 CPs.gen 1790
% 0.57/0.99 CPs.reexp 0
% 0.57/0.99 Select 272
% 0.57/0.99 R 172
% 0.57/0.99 E 0
% 0.57/0.99 vsize 6.6M
% 0.57/0.99 rss 3.9M
% 0.57/0.99 process.time 0.011s
% 0.57/0.99 wallclock.time 0.011s
% 0.57/0.99 status S
% 0.57/0.99
% 0.57/0.99
% 0.57/0.99 Waldmeister states: Goal proved.
% 0.57/0.99 % SZS status Unsatisfiable
%------------------------------------------------------------------------------