TSTP Solution File: GRP048-10 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP048-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n023.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 12:24:19 EDT 2022
% Result : Unsatisfiable 14.65s 15.10s
% Output : CNFRefutation 14.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP048-10 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : woody %s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 13 07:32:06 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.65/1.02 ********************************************************************************
% 0.65/1.02 * W A L D M E I S T E R \| \ / \|/ *
% 0.65/1.02 * |/ | \/ | *
% 0.65/1.02 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.65/1.02 * A. Jaeger and B. Loechner | | *
% 0.65/1.02 * <waldmeister@informatik.uni-kl.de> | *
% 0.65/1.02 ********************************************************************************
% 0.65/1.02
% 0.65/1.02
% 0.65/1.02 Goals:
% 0.65/1.02 ------
% 0.65/1.02
% 0.65/1.02 ( 1) true ?=? equalish(inverse(a),inverse(b))
% 0.65/1.02
% 0.65/1.02 Detected structure: Orkus
% 0.65/1.02 ********************************************************************************
% 0.65/1.02 ****************************** COMPLETION - PROOF ******************************
% 0.65/1.02 ********************************************************************************
% 0.65/1.02
% 14.65/15.10 joined goal: 1 true ?= equalish(inverse(a),inverse(b)) to true
% 14.65/15.10 goal joined
% 14.65/15.10 % SZS status Unsatisfiable
% 14.65/15.10 #START OF PROOF
% 14.65/15.10 % SZS output start CNFRefutation
% 14.65/15.10 cnf('0.1.0.0',axiom,
% 14.65/15.10 ( X1 = ifeq(X2,X2,X1,X3) ),
% 14.65/15.10 file('/tmp/WALDMEISTER_12003_n023')).
% 14.65/15.10 cnf('0.1.1.0',plain,
% 14.65/15.10 ( X1 = ifeq(X2,X2,X1,X3) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.1.0.0']),
% 14.65/15.10 [weight('<0,0,0,[0,0,0,1]>')]).
% 14.65/15.10 cnf('0.1.2.0',plain,
% 14.65/15.10 ( ifeq(X1,X1,X2,X3) = X2 ),
% 14.65/15.10 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_1]).
% 14.65/15.10 cnf('0.2.0.0',axiom,
% 14.65/15.10 ( true = product(X1,X2,multiply(X1,X2)) ),
% 14.65/15.10 file('/tmp/WALDMEISTER_12003_n023')).
% 14.65/15.10 cnf('0.2.1.0',plain,
% 14.65/15.10 ( true = product(X1,X2,multiply(X1,X2)) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.2.0.0']),
% 14.65/15.10 [weight('<1,0,0,[0,0,0,2]>')]).
% 14.65/15.10 cnf('0.2.2.0',plain,
% 14.65/15.10 ( product(X1,X2,multiply(X1,X2)) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_2]).
% 14.65/15.10 cnf('0.3.0.0',axiom,
% 14.65/15.10 ( true = product(identity,X1,X1) ),
% 14.65/15.10 file('/tmp/WALDMEISTER_12003_n023')).
% 14.65/15.10 cnf('0.3.1.0',plain,
% 14.65/15.10 ( true = product(identity,X1,X1) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.3.0.0']),
% 14.65/15.10 [weight('<2,0,0,[0,0,0,3]>')]).
% 14.65/15.10 cnf('0.3.2.0',plain,
% 14.65/15.10 ( product(identity,X1,X1) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_3]).
% 14.65/15.10 cnf('0.4.0.0',axiom,
% 14.65/15.10 ( true = product(inverse(X1),X1,identity) ),
% 14.65/15.10 file('/tmp/WALDMEISTER_12003_n023')).
% 14.65/15.10 cnf('0.4.1.0',plain,
% 14.65/15.10 ( true = product(inverse(X1),X1,identity) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.4.0.0']),
% 14.65/15.10 [weight('<3,0,0,[0,0,0,4]>')]).
% 14.65/15.10 cnf('0.4.2.0',plain,
% 14.65/15.10 ( product(inverse(X1),X1,identity) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_4]).
% 14.65/15.10 cnf('0.5.0.0',axiom,
% 14.65/15.10 ( 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) ),
% 14.65/15.10 file('/tmp/WALDMEISTER_12003_n023')).
% 14.65/15.10 cnf('0.5.1.0',plain,
% 14.65/15.10 ( 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) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.5.0.0']),
% 14.65/15.10 [weight('<4,0,0,[0,0,0,5]>')]).
% 14.65/15.10 cnf('0.5.2.0',plain,
% 14.65/15.10 ( 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 ),
% 14.65/15.10 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_5]).
% 14.65/15.10 cnf('0.6.0.0',axiom,
% 14.65/15.10 ( 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) ),
% 14.65/15.10 file('/tmp/WALDMEISTER_12003_n023')).
% 14.65/15.10 cnf('0.6.1.0',plain,
% 14.65/15.10 ( 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) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.6.0.0']),
% 14.65/15.10 [weight('<5,0,0,[0,0,0,6]>')]).
% 14.65/15.10 cnf('0.6.2.0',plain,
% 14.65/15.10 ( 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 ),
% 14.65/15.10 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_6]).
% 14.65/15.10 cnf('0.7.0.0',axiom,
% 14.65/15.10 ( true = ifeq(product(X1,X2,X3),true,ifeq(product(X1,X2,X4),true,equalish(X4,X3),true),true) ),
% 14.65/15.10 file('/tmp/WALDMEISTER_12003_n023')).
% 14.65/15.10 cnf('0.7.1.0',plain,
% 14.65/15.10 ( true = ifeq(product(X1,X2,X3),true,ifeq(product(X1,X2,X4),true,equalish(X4,X3),true),true) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.7.0.0']),
% 14.65/15.10 [weight('<6,0,0,[0,0,0,7]>')]).
% 14.65/15.10 cnf('0.7.2.0',plain,
% 14.65/15.10 ( ifeq(product(X1,X2,X3),true,ifeq(product(X1,X2,X4),true,equalish(X4,X3),true),true) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_7]).
% 14.65/15.10 cnf('0.8.0.0',axiom,
% 14.65/15.10 ( true = ifeq(equalish(X1,X2),true,ifeq(product(X3,X4,X1),true,product(X3,X4,X2),true),true) ),
% 14.65/15.10 file('/tmp/WALDMEISTER_12003_n023')).
% 14.65/15.10 cnf('0.8.1.0',plain,
% 14.65/15.10 ( true = ifeq(equalish(X1,X2),true,ifeq(product(X3,X4,X1),true,product(X3,X4,X2),true),true) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.8.0.0']),
% 14.65/15.10 [weight('<7,0,0,[0,0,0,8]>')]).
% 14.65/15.10 cnf('0.8.2.0',plain,
% 14.65/15.10 ( ifeq(equalish(X1,X2),true,ifeq(product(X3,X4,X1),true,product(X3,X4,X2),true),true) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_8]).
% 14.65/15.10 cnf('0.9.0.0',axiom,
% 14.65/15.10 ( true = equalish(a,b) ),
% 14.65/15.10 file('/tmp/WALDMEISTER_12003_n023')).
% 14.65/15.10 cnf('0.9.1.0',plain,
% 14.65/15.10 ( true = equalish(a,b) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.9.0.0']),
% 14.65/15.10 [weight('<8,0,0,[0,0,0,9]>')]).
% 14.65/15.10 cnf('0.9.2.0',plain,
% 14.65/15.10 ( equalish(a,b) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_9]).
% 14.65/15.10 cnf('0.10.0.0',plain,
% 14.65/15.10 ( true = ifeq(true,true,ifeq(product(identity,X1,X2),true,equalish(X2,X1),true),true) ),
% 14.65/15.10 inference(cp,[status(thm)],['0.7.2.0','0.3.2.0',theory(equality)]),
% 14.65/15.10 [pos('L.1','L')]).
% 14.65/15.10 cnf('0.10.0.1',plain,
% 14.65/15.10 ( true = ifeq(product(identity,X1,X2),true,equalish(X2,X1),true) ),
% 14.65/15.10 inference(reduction,[status(thm)],['0.10.0.0','0.1.2.0',theory(equality)]),
% 14.65/15.10 [pos('R','L')]).
% 14.65/15.10 cnf('0.10.1.0',plain,
% 14.65/15.10 ( true = ifeq(product(identity,X1,X2),true,equalish(X2,X1),true) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.10.0.1']),
% 14.65/15.10 [weight('<131,7,3,[1,0,0,1]>')]).
% 14.65/15.10 cnf('0.10.2.0',plain,
% 14.65/15.10 ( ifeq(product(identity,X1,X2),true,equalish(X2,X1),true) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_10]).
% 14.65/15.10 cnf('0.12.0.0',plain,
% 14.65/15.10 ( true = ifeq(true,true,equalish(multiply(identity,X1),X1),true) ),
% 14.65/15.10 inference(cp,[status(thm)],['0.10.2.0','0.2.2.0',theory(equality)]),
% 14.65/15.10 [pos('L.1','L')]).
% 14.65/15.10 cnf('0.12.0.1',plain,
% 14.65/15.10 ( true = equalish(multiply(identity,X1),X1) ),
% 14.65/15.10 inference(reduction,[status(thm)],['0.12.0.0','0.1.2.0',theory(equality)]),
% 14.65/15.10 [pos('R','L')]).
% 14.65/15.10 cnf('0.12.1.0',plain,
% 14.65/15.10 ( true = equalish(multiply(identity,X1),X1) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.12.0.1']),
% 14.65/15.10 [weight('<41,10,2,[1,0,0,1]>')]).
% 14.65/15.10 cnf('0.12.2.0',plain,
% 14.65/15.10 ( equalish(multiply(identity,X1),X1) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_12]).
% 14.65/15.10 cnf('0.17.0.0',plain,
% 14.65/15.10 ( true = ifeq(equalish(X1,X2),true,ifeq(true,true,product(identity,X1,X2),true),true) ),
% 14.65/15.10 inference(cp,[status(thm)],['0.8.2.0','0.3.2.0',theory(equality)]),
% 14.65/15.10 [pos('L.3.1','L')]).
% 14.65/15.10 cnf('0.17.0.1',plain,
% 14.65/15.10 ( true = ifeq(equalish(X1,X2),true,product(identity,X1,X2),true) ),
% 14.65/15.10 inference(reduction,[status(thm)],['0.17.0.0','0.1.2.0',theory(equality)]),
% 14.65/15.10 [pos('R.3','L')]).
% 14.65/15.10 cnf('0.17.1.0',plain,
% 14.65/15.10 ( true = ifeq(equalish(X1,X2),true,product(identity,X1,X2),true) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.17.0.1']),
% 14.65/15.10 [weight('<131,8,3,[1,0,0,6]>')]).
% 14.65/15.10 cnf('0.17.2.0',plain,
% 14.65/15.10 ( ifeq(equalish(X1,X2),true,product(identity,X1,X2),true) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_17]).
% 14.65/15.10 cnf('0.18.0.0',plain,
% 14.65/15.10 ( true = ifeq(true,true,product(identity,a,b),true) ),
% 14.65/15.10 inference(cp,[status(thm)],['0.17.2.0','0.9.2.0',theory(equality)]),
% 14.65/15.10 [pos('L.1','L')]).
% 14.65/15.10 cnf('0.18.0.1',plain,
% 14.65/15.10 ( true = product(identity,a,b) ),
% 14.65/15.10 inference(reduction,[status(thm)],['0.18.0.0','0.1.2.0',theory(equality)]),
% 14.65/15.10 [pos('R','L')]).
% 14.65/15.10 cnf('0.18.1.0',plain,
% 14.65/15.10 ( true = product(identity,a,b) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.18.0.1']),
% 14.65/15.10 [weight('<29,17,9,[1,0,0,1]>')]).
% 14.65/15.10 cnf('0.18.2.0',plain,
% 14.65/15.10 ( product(identity,a,b) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_18]).
% 14.65/15.10 cnf('0.21.0.0',plain,
% 14.65/15.10 ( true = ifeq(true,true,product(identity,multiply(identity,X1),X1),true) ),
% 14.65/15.10 inference(cp,[status(thm)],['0.17.2.0','0.12.2.0',theory(equality)]),
% 14.65/15.10 [pos('L.1','L')]).
% 14.65/15.10 cnf('0.21.0.1',plain,
% 14.65/15.10 ( true = product(identity,multiply(identity,X1),X1) ),
% 14.65/15.10 inference(reduction,[status(thm)],['0.21.0.0','0.1.2.0',theory(equality)]),
% 14.65/15.10 [pos('R','L')]).
% 14.65/15.10 cnf('0.21.1.0',plain,
% 14.65/15.10 ( true = product(identity,multiply(identity,X1),X1) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.21.0.1']),
% 14.65/15.10 [weight('<55,17,12,[1,0,0,1]>')]).
% 14.65/15.10 cnf('0.21.2.0',plain,
% 14.65/15.10 ( product(identity,multiply(identity,X1),X1) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_21]).
% 14.65/15.10 cnf('0.36.0.0',plain,
% 14.65/15.10 ( true = ifeq(true,true,ifeq(product(inverse(X1),X1,X2),true,equalish(X2,identity),true),true) ),
% 14.65/15.10 inference(cp,[status(thm)],['0.7.2.0','0.4.2.0',theory(equality)]),
% 14.65/15.10 [pos('L.1','L')]).
% 14.65/15.10 cnf('0.36.0.1',plain,
% 14.65/15.10 ( true = ifeq(product(inverse(X1),X1,X2),true,equalish(X2,identity),true) ),
% 14.65/15.10 inference(reduction,[status(thm)],['0.36.0.0','0.1.2.0',theory(equality)]),
% 14.65/15.10 [pos('R','L')]).
% 14.65/15.10 cnf('0.36.1.0',plain,
% 14.65/15.10 ( true = ifeq(product(inverse(X1),X1,X2),true,equalish(X2,identity),true) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.36.0.1']),
% 14.65/15.10 [weight('<155,7,4,[1,0,0,1]>')]).
% 14.65/15.10 cnf('0.36.2.0',plain,
% 14.65/15.10 ( ifeq(product(inverse(X1),X1,X2),true,equalish(X2,identity),true) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_36]).
% 14.65/15.10 cnf('0.37.0.0',plain,
% 14.65/15.10 ( true = ifeq(true,true,equalish(multiply(inverse(X1),X1),identity),true) ),
% 14.65/15.10 inference(cp,[status(thm)],['0.36.2.0','0.2.2.0',theory(equality)]),
% 14.65/15.10 [pos('L.1','L')]).
% 14.65/15.10 cnf('0.37.0.1',plain,
% 14.65/15.10 ( true = equalish(multiply(inverse(X1),X1),identity) ),
% 14.65/15.10 inference(reduction,[status(thm)],['0.37.0.0','0.1.2.0',theory(equality)]),
% 14.65/15.10 [pos('R','L')]).
% 14.65/15.10 cnf('0.37.1.0',plain,
% 14.65/15.10 ( true = equalish(multiply(inverse(X1),X1),identity) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.37.0.1']),
% 14.65/15.10 [weight('<55,36,2,[1,0,0,1]>')]).
% 14.65/15.10 cnf('0.37.2.0',plain,
% 14.65/15.10 ( equalish(multiply(inverse(X1),X1),identity) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_37]).
% 14.65/15.10 cnf('0.38.0.0',plain,
% 14.65/15.10 ( true = ifeq(true,true,product(identity,multiply(inverse(X1),X1),identity),true) ),
% 14.65/15.10 inference(cp,[status(thm)],['0.17.2.0','0.37.2.0',theory(equality)]),
% 14.65/15.10 [pos('L.1','L')]).
% 14.65/15.10 cnf('0.38.0.1',plain,
% 14.65/15.10 ( true = product(identity,multiply(inverse(X1),X1),identity) ),
% 14.65/15.10 inference(reduction,[status(thm)],['0.38.0.0','0.1.2.0',theory(equality)]),
% 14.65/15.10 [pos('R','L')]).
% 14.65/15.10 cnf('0.38.1.0',plain,
% 14.65/15.10 ( true = product(identity,multiply(inverse(X1),X1),identity) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.38.0.1']),
% 14.65/15.10 [weight('<71,37,17,[0,0,0,1]>')]).
% 14.65/15.10 cnf('0.38.2.0',plain,
% 14.65/15.10 ( product(identity,multiply(inverse(X1),X1),identity) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_38]).
% 14.65/15.10 cnf('0.39.0.0',plain,
% 14.65/15.10 ( true = ifeq(true,true,equalish(identity,multiply(inverse(X1),X1)),true) ),
% 14.65/15.10 inference(cp,[status(thm)],['0.10.2.0','0.38.2.0',theory(equality)]),
% 14.65/15.10 [pos('L.1','L')]).
% 14.65/15.10 cnf('0.39.0.1',plain,
% 14.65/15.10 ( true = equalish(identity,multiply(inverse(X1),X1)) ),
% 14.65/15.10 inference(reduction,[status(thm)],['0.39.0.0','0.1.2.0',theory(equality)]),
% 14.65/15.10 [pos('R','L')]).
% 14.65/15.10 cnf('0.39.1.0',plain,
% 14.65/15.10 ( true = equalish(identity,multiply(inverse(X1),X1)) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.39.0.1']),
% 14.65/15.10 [weight('<55,38,10,[0,0,0,1]>')]).
% 14.65/15.10 cnf('0.39.2.0',plain,
% 14.65/15.10 ( equalish(identity,multiply(inverse(X1),X1)) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_39]).
% 14.65/15.10 cnf('0.40.0.0',plain,
% 14.65/15.10 ( true = ifeq(true,true,product(identity,identity,multiply(inverse(X1),X1)),true) ),
% 14.65/15.10 inference(cp,[status(thm)],['0.17.2.0','0.39.2.0',theory(equality)]),
% 14.65/15.10 [pos('L.1','L')]).
% 14.65/15.10 cnf('0.40.0.1',plain,
% 14.65/15.10 ( true = product(identity,identity,multiply(inverse(X1),X1)) ),
% 14.65/15.10 inference(reduction,[status(thm)],['0.40.0.0','0.1.2.0',theory(equality)]),
% 14.65/15.10 [pos('R','L')]).
% 14.65/15.10 cnf('0.40.1.0',plain,
% 14.65/15.10 ( true = product(identity,identity,multiply(inverse(X1),X1)) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.40.0.1']),
% 14.65/15.10 [weight('<71,39,17,[0,0,0,1]>')]).
% 14.65/15.10 cnf('0.40.2.0',plain,
% 14.65/15.10 ( product(identity,identity,multiply(inverse(X1),X1)) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_40]).
% 14.65/15.10 cnf('0.57.0.0',plain,
% 14.65/15.10 ( 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) ),
% 14.65/15.10 inference(cp,[status(thm)],['0.5.2.0','0.2.2.0',theory(equality)]),
% 14.65/15.10 [pos('L.1','L')]).
% 14.65/15.10 cnf('0.57.0.1',plain,
% 14.65/15.10 ( true = ifeq(product(X1,multiply(X2,X3),X4),true,ifeq(product(X1,X2,X5),true,product(X5,X3,X4),true),true) ),
% 14.65/15.10 inference(reduction,[status(thm)],['0.57.0.0','0.1.2.0',theory(equality)]),
% 14.65/15.10 [pos('R','L')]).
% 14.65/15.10 cnf('0.57.1.0',plain,
% 14.65/15.10 ( true = ifeq(product(X1,multiply(X2,X3),X4),true,ifeq(product(X1,X2,X5),true,product(X5,X3,X4),true),true) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.57.0.1']),
% 14.65/15.10 [weight('<?,5,2,[1,0,0,1]>')]).
% 14.65/15.10 cnf('0.57.2.0',plain,
% 14.65/15.10 ( ifeq(product(X1,multiply(X2,X3),X4),true,ifeq(product(X1,X2,X5),true,product(X5,X3,X4),true),true) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_57]).
% 14.65/15.10 cnf('0.107.0.0',plain,
% 14.65/15.10 ( true = ifeq(true,true,ifeq(product(identity,identity,X1),true,product(X1,X2,X2),true),true) ),
% 14.65/15.10 inference(cp,[status(thm)],['0.57.2.0','0.21.2.0',theory(equality)]),
% 14.65/15.10 [pos('L.1','L')]).
% 14.65/15.10 cnf('0.107.0.1',plain,
% 14.65/15.10 ( true = ifeq(product(identity,identity,X1),true,product(X1,X2,X2),true) ),
% 14.65/15.10 inference(reduction,[status(thm)],['0.107.0.0','0.1.2.0',theory(equality)]),
% 14.65/15.10 [pos('R','L')]).
% 14.65/15.10 cnf('0.107.1.0',plain,
% 14.65/15.10 ( true = ifeq(product(identity,identity,X1),true,product(X1,X2,X2),true) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.107.0.1']),
% 14.65/15.10 [weight('<155,57,21,[1,0,0,1]>')]).
% 14.65/15.10 cnf('0.107.2.0',plain,
% 14.65/15.10 ( ifeq(product(identity,identity,X1),true,product(X1,X2,X2),true) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.107.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_107]).
% 14.65/15.10 cnf('0.112.0.0',plain,
% 14.65/15.10 ( true = ifeq(true,true,product(multiply(inverse(X1),X1),X2,X2),true) ),
% 14.65/15.10 inference(cp,[status(thm)],['0.107.2.0','0.40.2.0',theory(equality)]),
% 14.65/15.10 [pos('L.1','L')]).
% 14.65/15.10 cnf('0.112.0.1',plain,
% 14.65/15.10 ( true = product(multiply(inverse(X1),X1),X2,X2) ),
% 14.65/15.10 inference(reduction,[status(thm)],['0.112.0.0','0.1.2.0',theory(equality)]),
% 14.65/15.10 [pos('R','L')]).
% 14.65/15.10 cnf('0.112.1.0',plain,
% 14.65/15.10 ( true = product(multiply(inverse(X1),X1),X2,X2) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.112.0.1']),
% 14.65/15.10 [weight('<71,107,40,[1,0,0,1]>')]).
% 14.65/15.10 cnf('0.112.2.0',plain,
% 14.65/15.10 ( product(multiply(inverse(X1),X1),X2,X2) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.112.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_112]).
% 14.65/15.10 cnf('0.261.0.0',plain,
% 14.65/15.10 ( true = ifeq(true,true,ifeq(product(X1,X2,X3),true,ifeq(product(X1,identity,X4),true,product(X4,X2,X3),true),true),true) ),
% 14.65/15.10 inference(cp,[status(thm)],['0.5.2.0','0.3.2.0',theory(equality)]),
% 14.65/15.10 [pos('L.1','L')]).
% 14.65/15.10 cnf('0.261.0.1',plain,
% 14.65/15.10 ( true = ifeq(product(X1,X2,X3),true,ifeq(product(X1,identity,X4),true,product(X4,X2,X3),true),true) ),
% 14.65/15.10 inference(reduction,[status(thm)],['0.261.0.0','0.1.2.0',theory(equality)]),
% 14.65/15.10 [pos('R','L')]).
% 14.65/15.10 cnf('0.261.1.0',plain,
% 14.65/15.10 ( true = ifeq(product(X1,X2,X3),true,ifeq(product(X1,identity,X4),true,product(X4,X2,X3),true),true) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.261.0.1']),
% 14.65/15.10 [weight('<?,5,3,[1,0,0,1]>')]).
% 14.65/15.10 cnf('0.261.2.0',plain,
% 14.65/15.10 ( ifeq(product(X1,X2,X3),true,ifeq(product(X1,identity,X4),true,product(X4,X2,X3),true),true) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.261.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_261]).
% 14.65/15.10 cnf('0.312.0.0',plain,
% 14.65/15.10 ( true = ifeq(product(X1,X2,X3),true,ifeq(true,true,ifeq(product(identity,X1,X4),true,product(X4,X2,X3),true),true),true) ),
% 14.65/15.10 inference(cp,[status(thm)],['0.5.2.0','0.3.2.0',theory(equality)]),
% 14.65/15.10 [pos('L.3.1','L')]).
% 14.65/15.10 cnf('0.312.0.1',plain,
% 14.65/15.10 ( true = ifeq(product(X1,X2,X3),true,ifeq(product(identity,X1,X4),true,product(X4,X2,X3),true),true) ),
% 14.65/15.10 inference(reduction,[status(thm)],['0.312.0.0','0.1.2.0',theory(equality)]),
% 14.65/15.10 [pos('R.3','L')]).
% 14.65/15.10 cnf('0.312.1.0',plain,
% 14.65/15.10 ( true = ifeq(product(X1,X2,X3),true,ifeq(product(identity,X1,X4),true,product(X4,X2,X3),true),true) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.312.0.1']),
% 14.65/15.10 [weight('<?,5,3,[1,0,0,7]>')]).
% 14.65/15.10 cnf('0.312.2.0',plain,
% 14.65/15.10 ( ifeq(product(X1,X2,X3),true,ifeq(product(identity,X1,X4),true,product(X4,X2,X3),true),true) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.312.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_312]).
% 14.65/15.10 cnf('0.350.0.0',plain,
% 14.65/15.10 ( true = ifeq(product(a,X1,X2),true,ifeq(true,true,product(b,X1,X2),true),true) ),
% 14.65/15.10 inference(cp,[status(thm)],['0.312.2.0','0.18.2.0',theory(equality)]),
% 14.65/15.10 [pos('L.3.1','L')]).
% 14.65/15.10 cnf('0.350.0.1',plain,
% 14.65/15.10 ( true = ifeq(product(a,X1,X2),true,product(b,X1,X2),true) ),
% 14.65/15.10 inference(reduction,[status(thm)],['0.350.0.0','0.1.2.0',theory(equality)]),
% 14.65/15.10 [pos('R.3','L')]).
% 14.65/15.10 cnf('0.350.1.0',plain,
% 14.65/15.10 ( true = ifeq(product(a,X1,X2),true,product(b,X1,X2),true) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.350.0.1']),
% 14.65/15.10 [weight('<155,312,18,[1,0,0,7]>')]).
% 14.65/15.10 cnf('0.350.2.0',plain,
% 14.65/15.10 ( ifeq(product(a,X1,X2),true,product(b,X1,X2),true) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.350.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_350]).
% 14.65/15.10 cnf('0.351.0.0',plain,
% 14.65/15.10 ( true = ifeq(true,true,product(b,X1,multiply(a,X1)),true) ),
% 14.65/15.10 inference(cp,[status(thm)],['0.350.2.0','0.2.2.0',theory(equality)]),
% 14.65/15.10 [pos('L.1','L')]).
% 14.65/15.10 cnf('0.351.0.1',plain,
% 14.65/15.10 ( true = product(b,X1,multiply(a,X1)) ),
% 14.65/15.10 inference(reduction,[status(thm)],['0.351.0.0','0.1.2.0',theory(equality)]),
% 14.65/15.10 [pos('R','L')]).
% 14.65/15.10 cnf('0.351.1.0',plain,
% 14.65/15.10 ( true = product(b,X1,multiply(a,X1)) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.351.0.1']),
% 14.65/15.10 [weight('<55,350,2,[1,0,0,1]>')]).
% 14.65/15.10 cnf('0.351.2.0',plain,
% 14.65/15.10 ( product(b,X1,multiply(a,X1)) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.351.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_351]).
% 14.65/15.10 cnf('0.703.0.0',plain,
% 14.65/15.10 ( true = ifeq(true,true,ifeq(product(inverse(X1),identity,X2),true,product(X2,X1,identity),true),true) ),
% 14.65/15.10 inference(cp,[status(thm)],['0.261.2.0','0.4.2.0',theory(equality)]),
% 14.65/15.10 [pos('L.1','L')]).
% 14.65/15.10 cnf('0.703.0.1',plain,
% 14.65/15.10 ( true = ifeq(product(inverse(X1),identity,X2),true,product(X2,X1,identity),true) ),
% 14.65/15.10 inference(reduction,[status(thm)],['0.703.0.0','0.1.2.0',theory(equality)]),
% 14.65/15.10 [pos('R','L')]).
% 14.65/15.10 cnf('0.703.1.0',plain,
% 14.65/15.10 ( true = ifeq(product(inverse(X1),identity,X2),true,product(X2,X1,identity),true) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.703.0.1']),
% 14.65/15.10 [weight('<181,261,4,[1,0,0,1]>')]).
% 14.65/15.10 cnf('0.703.2.0',plain,
% 14.65/15.10 ( ifeq(product(inverse(X1),identity,X2),true,product(X2,X1,identity),true) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.703.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_703]).
% 14.65/15.10 cnf('0.771.0.0',plain,
% 14.65/15.10 ( true = ifeq(product(multiply(X1,X2),X3,X4),true,ifeq(product(X2,X3,X5),true,ifeq(true,true,product(X1,X5,X4),true),true),true) ),
% 14.65/15.10 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 14.65/15.10 [pos('L.3.3.1','L')]).
% 14.65/15.10 cnf('0.771.0.1',plain,
% 14.65/15.10 ( true = ifeq(product(multiply(X1,X2),X3,X4),true,ifeq(product(X2,X3,X5),true,product(X1,X5,X4),true),true) ),
% 14.65/15.10 inference(reduction,[status(thm)],['0.771.0.0','0.1.2.0',theory(equality)]),
% 14.65/15.10 [pos('R.3.3','L')]).
% 14.65/15.10 cnf('0.771.1.0',plain,
% 14.65/15.10 ( true = ifeq(product(multiply(X1,X2),X3,X4),true,ifeq(product(X2,X3,X5),true,product(X1,X5,X4),true),true) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.771.0.1']),
% 14.65/15.10 [weight('<?,6,2,[1,0,0,13]>')]).
% 14.65/15.10 cnf('0.771.2.0',plain,
% 14.65/15.10 ( ifeq(product(multiply(X1,X2),X3,X4),true,ifeq(product(X2,X3,X5),true,product(X1,X5,X4),true),true) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.771.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_771]).
% 14.65/15.10 cnf('0.2120.0.0',plain,
% 14.65/15.10 ( true = ifeq(true,true,ifeq(product(b,X1,X2),true,equalish(X2,multiply(a,X1)),true),true) ),
% 14.65/15.10 inference(cp,[status(thm)],['0.7.2.0','0.351.2.0',theory(equality)]),
% 14.65/15.10 [pos('L.1','L')]).
% 14.65/15.10 cnf('0.2120.0.1',plain,
% 14.65/15.10 ( true = ifeq(product(b,X1,X2),true,equalish(X2,multiply(a,X1)),true) ),
% 14.65/15.10 inference(reduction,[status(thm)],['0.2120.0.0','0.1.2.0',theory(equality)]),
% 14.65/15.10 [pos('R','L')]).
% 14.65/15.10 cnf('0.2120.1.0',plain,
% 14.65/15.10 ( true = ifeq(product(b,X1,X2),true,equalish(X2,multiply(a,X1)),true) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.2120.0.1']),
% 14.65/15.10 [weight('<181,351,7,[0,0,0,1]>')]).
% 14.65/15.10 cnf('0.2120.2.0',plain,
% 14.65/15.10 ( ifeq(product(b,X1,X2),true,equalish(X2,multiply(a,X1)),true) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.2120.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_2120]).
% 14.65/15.10 cnf('0.2851.0.0',plain,
% 14.65/15.10 ( true = ifeq(true,true,ifeq(product(X1,X2,X3),true,product(inverse(X1),X3,X2),true),true) ),
% 14.65/15.10 inference(cp,[status(thm)],['0.771.2.0','0.112.2.0',theory(equality)]),
% 14.65/15.10 [pos('L.1','L')]).
% 14.65/15.10 cnf('0.2851.0.1',plain,
% 14.65/15.10 ( true = ifeq(product(X1,X2,X3),true,product(inverse(X1),X3,X2),true) ),
% 14.65/15.10 inference(reduction,[status(thm)],['0.2851.0.0','0.1.2.0',theory(equality)]),
% 14.65/15.10 [pos('R','L')]).
% 14.65/15.10 cnf('0.2851.1.0',plain,
% 14.65/15.10 ( true = ifeq(product(X1,X2,X3),true,product(inverse(X1),X3,X2),true) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.2851.0.1']),
% 14.65/15.10 [weight('<181,771,112,[1,0,0,1]>')]).
% 14.65/15.10 cnf('0.2851.2.0',plain,
% 14.65/15.10 ( ifeq(product(X1,X2,X3),true,product(inverse(X1),X3,X2),true) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.2851.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_2851]).
% 14.65/15.10 cnf('0.2852.0.0',plain,
% 14.65/15.10 ( true = ifeq(true,true,product(inverse(inverse(X1)),identity,X1),true) ),
% 14.65/15.10 inference(cp,[status(thm)],['0.2851.2.0','0.4.2.0',theory(equality)]),
% 14.65/15.10 [pos('L.1','L')]).
% 14.65/15.10 cnf('0.2852.0.1',plain,
% 14.65/15.10 ( true = product(inverse(inverse(X1)),identity,X1) ),
% 14.65/15.10 inference(reduction,[status(thm)],['0.2852.0.0','0.1.2.0',theory(equality)]),
% 14.65/15.10 [pos('R','L')]).
% 14.65/15.10 cnf('0.2852.1.0',plain,
% 14.65/15.10 ( true = product(inverse(inverse(X1)),identity,X1) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.2852.0.1']),
% 14.65/15.10 [weight('<55,2851,4,[1,0,0,1]>')]).
% 14.65/15.10 cnf('0.2852.2.0',plain,
% 14.65/15.10 ( product(inverse(inverse(X1)),identity,X1) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.2852.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_2852]).
% 14.65/15.10 cnf('0.2853.0.0',plain,
% 14.65/15.10 ( true = ifeq(true,true,product(X1,inverse(X1),identity),true) ),
% 14.65/15.10 inference(cp,[status(thm)],['0.703.2.0','0.2852.2.0',theory(equality)]),
% 14.65/15.10 [pos('L.1','L')]).
% 14.65/15.10 cnf('0.2853.0.1',plain,
% 14.65/15.10 ( true = product(X1,inverse(X1),identity) ),
% 14.65/15.10 inference(reduction,[status(thm)],['0.2853.0.0','0.1.2.0',theory(equality)]),
% 14.65/15.10 [pos('R','L')]).
% 14.65/15.10 cnf('0.2853.1.0',plain,
% 14.65/15.10 ( true = product(X1,inverse(X1),identity) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.2853.0.1']),
% 14.65/15.10 [weight('<41,2852,703,[0,0,0,1]>')]).
% 14.65/15.10 cnf('0.2853.2.0',plain,
% 14.65/15.10 ( product(X1,inverse(X1),identity) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.2853.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_2853]).
% 14.65/15.10 cnf('0.2869.0.0',plain,
% 14.65/15.10 ( true = ifeq(true,true,equalish(identity,multiply(a,inverse(b))),true) ),
% 14.65/15.10 inference(cp,[status(thm)],['0.2120.2.0','0.2853.2.0',theory(equality)]),
% 14.65/15.10 [pos('L.1','L')]).
% 14.65/15.10 cnf('0.2869.0.1',plain,
% 14.65/15.10 ( true = equalish(identity,multiply(a,inverse(b))) ),
% 14.65/15.10 inference(reduction,[status(thm)],['0.2869.0.0','0.1.2.0',theory(equality)]),
% 14.65/15.10 [pos('R','L')]).
% 14.65/15.10 cnf('0.2869.1.0',plain,
% 14.65/15.10 ( true = equalish(identity,multiply(a,inverse(b))) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.2869.0.1']),
% 14.65/15.10 [weight('<55,2853,2120,[0,0,0,1]>')]).
% 14.65/15.10 cnf('0.2869.2.0',plain,
% 14.65/15.10 ( equalish(identity,multiply(a,inverse(b))) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.2869.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_2869]).
% 14.65/15.10 cnf('0.9543.0.0',plain,
% 14.65/15.10 ( true = ifeq(product(inverse(X1),multiply(X1,X2),X3),true,ifeq(true,true,product(identity,X2,X3),true),true) ),
% 14.65/15.10 inference(cp,[status(thm)],['0.57.2.0','0.4.2.0',theory(equality)]),
% 14.65/15.10 [pos('L.3.1','L')]).
% 14.65/15.10 cnf('0.9543.0.1',plain,
% 14.65/15.10 ( true = ifeq(product(inverse(X1),multiply(X1,X2),X3),true,product(identity,X2,X3),true) ),
% 14.65/15.10 inference(reduction,[status(thm)],['0.9543.0.0','0.1.2.0',theory(equality)]),
% 14.65/15.10 [pos('R.3','L')]).
% 14.65/15.10 cnf('0.9543.1.0',plain,
% 14.65/15.10 ( true = ifeq(product(inverse(X1),multiply(X1,X2),X3),true,product(identity,X2,X3),true) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.9543.0.1']),
% 14.65/15.10 [weight('<?,57,4,[1,0,0,9]>')]).
% 14.65/15.10 cnf('0.9543.2.0',plain,
% 14.65/15.10 ( ifeq(product(inverse(X1),multiply(X1,X2),X3),true,product(identity,X2,X3),true) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.9543.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_9543]).
% 14.65/15.10 cnf('0.12706.0.0',plain,
% 14.65/15.10 ( true = ifeq(equalish(identity,X1),true,ifeq(true,true,product(X2,inverse(X2),X1),true),true) ),
% 14.65/15.10 inference(cp,[status(thm)],['0.8.2.0','0.2853.2.0',theory(equality)]),
% 14.65/15.10 [pos('L.3.1','L')]).
% 14.65/15.10 cnf('0.12706.0.1',plain,
% 14.65/15.10 ( true = ifeq(equalish(identity,X1),true,product(X2,inverse(X2),X1),true) ),
% 14.65/15.10 inference(reduction,[status(thm)],['0.12706.0.0','0.1.2.0',theory(equality)]),
% 14.65/15.10 [pos('R.3','L')]).
% 14.65/15.10 cnf('0.12706.1.0',plain,
% 14.65/15.10 ( true = ifeq(equalish(identity,X1),true,product(X2,inverse(X2),X1),true) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.12706.0.1']),
% 14.65/15.10 [weight('<155,2853,8,[0,0,0,6]>')]).
% 14.65/15.10 cnf('0.12706.2.0',plain,
% 14.65/15.10 ( ifeq(equalish(identity,X1),true,product(X2,inverse(X2),X1),true) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.12706.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_12706]).
% 14.65/15.10 cnf('0.12712.0.0',plain,
% 14.65/15.10 ( true = ifeq(true,true,product(X1,inverse(X1),multiply(a,inverse(b))),true) ),
% 14.65/15.10 inference(cp,[status(thm)],['0.12706.2.0','0.2869.2.0',theory(equality)]),
% 14.65/15.10 [pos('L.1','L')]).
% 14.65/15.10 cnf('0.12712.0.1',plain,
% 14.65/15.10 ( true = product(X1,inverse(X1),multiply(a,inverse(b))) ),
% 14.65/15.10 inference(reduction,[status(thm)],['0.12712.0.0','0.1.2.0',theory(equality)]),
% 14.65/15.10 [pos('R','L')]).
% 14.65/15.10 cnf('0.12712.1.0',plain,
% 14.65/15.10 ( true = product(X1,inverse(X1),multiply(a,inverse(b))) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.12712.0.1']),
% 14.65/15.10 [weight('<89,12706,2869,[1,0,0,1]>')]).
% 14.65/15.10 cnf('0.12712.2.0',plain,
% 14.65/15.10 ( product(X1,inverse(X1),multiply(a,inverse(b))) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.12712.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_12712]).
% 14.65/15.10 cnf('0.12778.0.0',plain,
% 14.65/15.10 ( true = ifeq(true,true,product(inverse(X1),multiply(a,inverse(b)),inverse(X1)),true) ),
% 14.65/15.10 inference(cp,[status(thm)],['0.2851.2.0','0.12712.2.0',theory(equality)]),
% 14.65/15.10 [pos('L.1','L')]).
% 14.65/15.10 cnf('0.12778.0.1',plain,
% 14.65/15.10 ( true = product(inverse(X1),multiply(a,inverse(b)),inverse(X1)) ),
% 14.65/15.10 inference(reduction,[status(thm)],['0.12778.0.0','0.1.2.0',theory(equality)]),
% 14.65/15.10 [pos('R','L')]).
% 14.65/15.10 cnf('0.12778.1.0',plain,
% 14.65/15.10 ( true = product(inverse(X1),multiply(a,inverse(b)),inverse(X1)) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.12778.0.1']),
% 14.65/15.10 [weight('<109,12712,2851,[0,0,0,1]>')]).
% 14.65/15.10 cnf('0.12778.2.0',plain,
% 14.65/15.10 ( product(inverse(X1),multiply(a,inverse(b)),inverse(X1)) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.12778.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_12778]).
% 14.65/15.10 cnf('0.12779.0.0',plain,
% 14.65/15.10 ( true = ifeq(true,true,product(identity,inverse(b),inverse(a)),true) ),
% 14.65/15.10 inference(cp,[status(thm)],['0.9543.2.0','0.12778.2.0',theory(equality)]),
% 14.65/15.10 [pos('L.1','L')]).
% 14.65/15.10 cnf('0.12779.0.1',plain,
% 14.65/15.10 ( true = product(identity,inverse(b),inverse(a)) ),
% 14.65/15.10 inference(reduction,[status(thm)],['0.12779.0.0','0.1.2.0',theory(equality)]),
% 14.65/15.10 [pos('R','L')]).
% 14.65/15.10 cnf('0.12779.1.0',plain,
% 14.65/15.10 ( true = product(identity,inverse(b),inverse(a)) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.12779.0.1']),
% 14.65/15.10 [weight('<55,12778,9543,[0,0,0,1]>')]).
% 14.65/15.10 cnf('0.12779.2.0',plain,
% 14.65/15.10 ( product(identity,inverse(b),inverse(a)) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.12779.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_12779]).
% 14.65/15.10 cnf('0.12780.0.0',plain,
% 14.65/15.10 ( true = ifeq(true,true,equalish(inverse(a),inverse(b)),true) ),
% 14.65/15.10 inference(cp,[status(thm)],['0.10.2.0','0.12779.2.0',theory(equality)]),
% 14.65/15.10 [pos('L.1','L')]).
% 14.65/15.10 cnf('0.12780.0.1',plain,
% 14.65/15.10 ( true = equalish(inverse(a),inverse(b)) ),
% 14.65/15.10 inference(reduction,[status(thm)],['0.12780.0.0','0.1.2.0',theory(equality)]),
% 14.65/15.10 [pos('R','L')]).
% 14.65/15.10 cnf('0.12780.1.0',plain,
% 14.65/15.10 ( true = equalish(inverse(a),inverse(b)) ),
% 14.65/15.10 inference(weigh,[status(thm)],['0.12780.0.1']),
% 14.65/15.10 [weight('<41,12779,10,[0,0,0,1]>')]).
% 14.65/15.10 cnf('0.12780.2.0',plain,
% 14.65/15.10 ( equalish(inverse(a),inverse(b)) = true ),
% 14.65/15.10 inference(orient,[status(thm)],['0.12780.1.0',theory(equality)]),
% 14.65/15.10 [x,rule_12780]).
% 14.65/15.10 cnf('1.0.0.0',conjecture,
% 14.65/15.10 ( true = equalish(inverse(a),inverse(b)) ),
% 14.65/15.10 file('/tmp/WALDMEISTER_12003_n023',conjecture_1)).
% 14.65/15.10 cnf('1.0.0.1',plain,
% 14.65/15.10 ( true = true ),
% 14.65/15.10 inference(reduction,[status(thm)],['1.0.0.0','0.12780.2.0',theory(equality)]),
% 14.65/15.10 [pos('R','L')]).
% 14.65/15.10 cnf('1.0.0.2',plain,
% 14.65/15.10 ( $true ),
% 14.65/15.10 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 14.65/15.10 [conjecture_1]).
% 14.65/15.10
% 14.65/15.10 Proved Goals:
% 14.65/15.10 No. 1: true ?= equalish(inverse(a),inverse(b)) joined, current: true = true
% 14.65/15.10 1 goal was specified, which was proved.
% 14.65/15.10 % SZS output end CNFRefutation
% 14.65/15.10 #END OF PROOF
% 14.65/15.10
% 14.65/15.10 Problem WALDMEISTER_12003_n023
% 14.65/15.10 CPs.gen 1559646
% 14.65/15.10 CPs.reexp 0
% 14.65/15.10 Select 21616
% 14.65/15.10 R 12780
% 14.65/15.10 E 0
% 14.65/15.10 vsize 16.1M
% 14.65/15.10 rss 11.6M
% 14.65/15.10 process.time 14.080s
% 14.65/15.10 wallclock.time 14.080s
% 14.65/15.10 status S
% 14.65/15.10
% 14.65/15.10
% 14.65/15.10 Waldmeister states: Goal proved.
% 14.65/15.10 % SZS status Unsatisfiable
%------------------------------------------------------------------------------