TSTP Solution File: GRP201-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP201-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n011.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 12:25:22 EDT 2022
% Result : Unsatisfiable 0.65s 1.09s
% Output : CNFRefutation 0.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP201-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : woody %s
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 06:10:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.61/1.01 ********************************************************************************
% 0.61/1.01 * W A L D M E I S T E R \| \ / \|/ *
% 0.61/1.01 * |/ | \/ | *
% 0.61/1.01 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.61/1.01 * A. Jaeger and B. Loechner | | *
% 0.61/1.01 * <waldmeister@informatik.uni-kl.de> | *
% 0.61/1.01 ********************************************************************************
% 0.61/1.01
% 0.61/1.01
% 0.61/1.01 Goals:
% 0.61/1.01 ------
% 0.61/1.01
% 0.61/1.01 ( 1) multiply(multiply(multiply(a,b),a),c) ?=? multiply(a,multiply(b,multiply(a,c)))
% 0.61/1.01
% 0.61/1.01 Detected structure: Loop
% 0.61/1.01 ********************************************************************************
% 0.61/1.01 ****************************** COMPLETION - PROOF ******************************
% 0.61/1.01 ********************************************************************************
% 0.61/1.01
% 0.65/1.09 joined goal: 1 multiply(multiply(multiply(a,b),a),c) ?= multiply(a,multiply(b,multiply(a,c))) to multiply(a,multiply(b,multiply(a,c)))
% 0.65/1.09 goal joined
% 0.65/1.09 % SZS status Unsatisfiable
% 0.65/1.09 #START OF PROOF
% 0.65/1.09 % SZS output start CNFRefutation
% 0.65/1.09 cnf('0.1.0.0',axiom,
% 0.65/1.09 ( X1 = multiply(X2,left_division(X2,X1)) ),
% 0.65/1.09 file('/tmp/WALDMEISTER_22522_n011')).
% 0.65/1.09 cnf('0.1.1.0',plain,
% 0.65/1.09 ( X1 = multiply(X2,left_division(X2,X1)) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.65/1.09 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.65/1.09 cnf('0.1.2.0',plain,
% 0.65/1.09 ( multiply(X1,left_division(X1,X2)) = X2 ),
% 0.65/1.09 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_1]).
% 0.65/1.09 cnf('0.2.0.0',axiom,
% 0.65/1.09 ( X1 = multiply(X1,identity) ),
% 0.65/1.09 file('/tmp/WALDMEISTER_22522_n011')).
% 0.65/1.09 cnf('0.2.1.0',plain,
% 0.65/1.09 ( X1 = multiply(X1,identity) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.65/1.09 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.65/1.09 cnf('0.2.2.0',plain,
% 0.65/1.09 ( multiply(X1,identity) = X1 ),
% 0.65/1.09 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_2]).
% 0.65/1.09 cnf('0.3.0.0',axiom,
% 0.65/1.09 ( X1 = multiply(identity,X1) ),
% 0.65/1.09 file('/tmp/WALDMEISTER_22522_n011')).
% 0.65/1.09 cnf('0.3.1.0',plain,
% 0.65/1.09 ( X1 = multiply(identity,X1) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.65/1.09 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.65/1.09 cnf('0.3.2.0',plain,
% 0.65/1.09 ( multiply(identity,X1) = X1 ),
% 0.65/1.09 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_3]).
% 0.65/1.09 cnf('0.4.0.0',axiom,
% 0.65/1.09 ( X1 = multiply(right_division(X1,X2),X2) ),
% 0.65/1.09 file('/tmp/WALDMEISTER_22522_n011')).
% 0.65/1.09 cnf('0.4.1.0',plain,
% 0.65/1.09 ( X1 = multiply(right_division(X1,X2),X2) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.65/1.09 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.65/1.09 cnf('0.4.2.0',plain,
% 0.65/1.09 ( multiply(right_division(X1,X2),X2) = X1 ),
% 0.65/1.09 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_4]).
% 0.65/1.09 cnf('0.5.0.0',axiom,
% 0.65/1.09 ( X1 = right_division(multiply(X1,X2),X2) ),
% 0.65/1.09 file('/tmp/WALDMEISTER_22522_n011')).
% 0.65/1.09 cnf('0.5.1.0',plain,
% 0.65/1.09 ( X1 = right_division(multiply(X1,X2),X2) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.65/1.09 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.65/1.09 cnf('0.5.2.0',plain,
% 0.65/1.09 ( right_division(multiply(X1,X2),X2) = X1 ),
% 0.65/1.09 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_5]).
% 0.65/1.09 cnf('0.6.0.0',axiom,
% 0.65/1.09 ( X1 = left_division(X2,multiply(X2,X1)) ),
% 0.65/1.09 file('/tmp/WALDMEISTER_22522_n011')).
% 0.65/1.09 cnf('0.6.1.0',plain,
% 0.65/1.09 ( X1 = left_division(X2,multiply(X2,X1)) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.65/1.09 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.65/1.09 cnf('0.6.2.0',plain,
% 0.65/1.09 ( left_division(X1,multiply(X1,X2)) = X2 ),
% 0.65/1.09 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_6]).
% 0.65/1.09 cnf('0.7.0.0',axiom,
% 0.65/1.09 ( multiply(X1,multiply(X2,multiply(X3,X2))) = multiply(multiply(multiply(X1,X2),X3),X2) ),
% 0.65/1.09 file('/tmp/WALDMEISTER_22522_n011')).
% 0.65/1.09 cnf('0.7.1.0',plain,
% 0.65/1.09 ( multiply(X1,multiply(X2,multiply(X3,X2))) = multiply(multiply(multiply(X1,X2),X3),X2) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.65/1.09 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.65/1.09 cnf('0.7.2.0',plain,
% 0.65/1.09 ( multiply(multiply(multiply(X1,X2),X3),X2) = multiply(X1,multiply(X2,multiply(X3,X2))) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_7]).
% 0.65/1.09 cnf('0.8.0.0',axiom,
% 0.65/1.09 ( multiply(X1,right_inverse(X1)) = identity ),
% 0.65/1.09 file('/tmp/WALDMEISTER_22522_n011')).
% 0.65/1.09 cnf('0.8.1.0',plain,
% 0.65/1.09 ( multiply(X1,right_inverse(X1)) = identity ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.65/1.09 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.65/1.09 cnf('0.8.2.0',plain,
% 0.65/1.09 ( multiply(X1,right_inverse(X1)) = identity ),
% 0.65/1.09 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.65/1.09 [u,rule_8]).
% 0.65/1.09 cnf('0.9.0.0',axiom,
% 0.65/1.09 ( multiply(left_inverse(X1),X1) = identity ),
% 0.65/1.09 file('/tmp/WALDMEISTER_22522_n011')).
% 0.65/1.09 cnf('0.9.1.0',plain,
% 0.65/1.09 ( multiply(left_inverse(X1),X1) = identity ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.65/1.09 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.65/1.09 cnf('0.9.2.0',plain,
% 0.65/1.09 ( multiply(left_inverse(X1),X1) = identity ),
% 0.65/1.09 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.65/1.09 [u,rule_9]).
% 0.65/1.09 cnf('0.15.0.0',plain,
% 0.65/1.09 ( identity = left_division(X1,X1) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.2','L')]).
% 0.65/1.09 cnf('0.15.1.0',plain,
% 0.65/1.09 ( identity = left_division(X1,X1) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.65/1.09 [weight('<19,6,2,[1,0,0,2]>')]).
% 0.65/1.09 cnf('0.15.2.0',plain,
% 0.65/1.09 ( left_division(X1,X1) = identity ),
% 0.65/1.09 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_15]).
% 0.65/1.09 cnf('0.16.0.0',plain,
% 0.65/1.09 ( right_inverse(X1) = left_division(X1,identity) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.6.2.0','0.8.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.2','L')]).
% 0.65/1.09 cnf('0.16.1.0',plain,
% 0.65/1.09 ( right_inverse(X1) = left_division(X1,identity) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.65/1.09 [weight('<23,8,6,[0,0,0,2]>')]).
% 0.65/1.09 cnf('0.16.2.0',plain,
% 0.65/1.09 ( left_division(X1,identity) = right_inverse(X1) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_16]).
% 0.65/1.09 cnf('0.17.0.0',plain,
% 0.65/1.09 ( left_inverse(X1) = right_division(identity,X1) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.5.2.0','0.9.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.1','L')]).
% 0.65/1.09 cnf('0.17.1.0',plain,
% 0.65/1.09 ( left_inverse(X1) = right_division(identity,X1) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.65/1.09 [weight('<23,9,5,[0,0,0,1]>')]).
% 0.65/1.09 cnf('0.17.2.0',plain,
% 0.65/1.09 ( right_division(identity,X1) = left_inverse(X1) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_17]).
% 0.65/1.09 cnf('0.18.0.0',plain,
% 0.65/1.09 ( X1 = right_division(identity,right_inverse(X1)) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.5.2.0','0.8.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.1','L')]).
% 0.65/1.09 cnf('0.18.1.0',plain,
% 0.65/1.09 ( X1 = right_division(identity,right_inverse(X1)) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.65/1.09 [weight('<29,8,5,[0,0,0,1]>')]).
% 0.65/1.09 cnf('0.18.1.1',plain,
% 0.65/1.09 ( X1 = left_inverse(right_inverse(X1)) ),
% 0.65/1.09 inference(reduction,[status(thm)],['0.18.1.0','0.17.2.0',theory(equality)]),
% 0.65/1.09 [pos('R','L')]).
% 0.65/1.09 cnf('0.18.2.0',plain,
% 0.65/1.09 ( left_inverse(right_inverse(X1)) = X1 ),
% 0.65/1.09 inference(orient,[status(thm)],['0.18.1.1',theory(equality)]),
% 0.65/1.09 [x,rule_18]).
% 0.65/1.09 cnf('0.20.0.0',plain,
% 0.65/1.09 ( X1 = right_division(X2,left_division(X1,X2)) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.5.2.0','0.1.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.1','L')]).
% 0.65/1.09 cnf('0.20.1.0',plain,
% 0.65/1.09 ( X1 = right_division(X2,left_division(X1,X2)) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.65/1.09 [weight('<41,5,1,[1,0,0,1]>')]).
% 0.65/1.09 cnf('0.20.2.0',plain,
% 0.65/1.09 ( right_division(X1,left_division(X2,X1)) = X2 ),
% 0.65/1.09 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_20]).
% 0.65/1.09 cnf('0.21.0.0',plain,
% 0.65/1.09 ( X1 = left_division(right_division(X2,X1),X2) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.6.2.0','0.4.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.2','L')]).
% 0.65/1.09 cnf('0.21.1.0',plain,
% 0.65/1.09 ( X1 = left_division(right_division(X2,X1),X2) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.21.0.0']),
% 0.65/1.09 [weight('<41,6,4,[1,0,0,2]>')]).
% 0.65/1.09 cnf('0.21.2.0',plain,
% 0.65/1.09 ( left_division(right_division(X1,X2),X1) = X2 ),
% 0.65/1.09 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_21]).
% 0.65/1.09 cnf('0.27.0.0',plain,
% 0.65/1.09 ( multiply(identity,multiply(X1,multiply(X2,X1))) = multiply(multiply(X1,X2),X1) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.7.2.0','0.3.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.1.1','L')]).
% 0.65/1.09 cnf('0.27.0.1',plain,
% 0.65/1.09 ( multiply(X1,multiply(X2,X1)) = multiply(multiply(X1,X2),X1) ),
% 0.65/1.09 inference(reduction,[status(thm)],['0.27.0.0','0.3.2.0',theory(equality)]),
% 0.65/1.09 [pos('L','L')]).
% 0.65/1.09 cnf('0.27.1.0',plain,
% 0.65/1.09 ( multiply(X1,multiply(X2,X1)) = multiply(multiply(X1,X2),X1) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.27.0.1']),
% 0.65/1.09 [weight('<65,7,3,[1,0,0,2]>')]).
% 0.65/1.09 cnf('0.27.2.0',plain,
% 0.65/1.09 ( multiply(multiply(X1,X2),X1) = multiply(X1,multiply(X2,X1)) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_27]).
% 0.65/1.09 cnf('0.28.0.0',plain,
% 0.65/1.09 ( multiply(X1,multiply(right_inverse(X1),X1)) = multiply(identity,X1) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.27.2.0','0.8.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.1','L')]).
% 0.65/1.09 cnf('0.28.0.1',plain,
% 0.65/1.09 ( multiply(X1,multiply(right_inverse(X1),X1)) = X1 ),
% 0.65/1.09 inference(reduction,[status(thm)],['0.28.0.0','0.3.2.0',theory(equality)]),
% 0.65/1.09 [pos('R','L')]).
% 0.65/1.09 cnf('0.28.1.0',plain,
% 0.65/1.09 ( multiply(X1,multiply(right_inverse(X1),X1)) = X1 ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.28.0.1']),
% 0.65/1.09 [weight('<55,27,8,[1,0,0,1]>')]).
% 0.65/1.09 cnf('0.28.2.0',plain,
% 0.65/1.09 ( multiply(X1,multiply(right_inverse(X1),X1)) = X1 ),
% 0.65/1.09 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.65/1.09 [u,rule_28]).
% 0.65/1.09 cnf('0.29.0.0',plain,
% 0.65/1.09 ( multiply(right_inverse(X1),X1) = left_division(X1,X1) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.6.2.0','0.28.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.2','L')]).
% 0.65/1.09 cnf('0.29.0.1',plain,
% 0.65/1.09 ( multiply(right_inverse(X1),X1) = identity ),
% 0.65/1.09 inference(reduction,[status(thm)],['0.29.0.0','0.15.2.0',theory(equality)]),
% 0.65/1.09 [pos('R','L')]).
% 0.65/1.09 cnf('0.29.1.0',plain,
% 0.65/1.09 ( multiply(right_inverse(X1),X1) = identity ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.29.0.1']),
% 0.65/1.09 [weight('<29,28,6,[0,0,0,2]>')]).
% 0.65/1.09 cnf('0.29.2.0',plain,
% 0.65/1.09 ( multiply(right_inverse(X1),X1) = identity ),
% 0.65/1.09 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.65/1.09 [u,rule_29]).
% 0.65/1.09 cnf('0.30.0.0',plain,
% 0.65/1.09 ( right_inverse(X1) = right_division(identity,X1) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.5.2.0','0.29.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.1','L')]).
% 0.65/1.09 cnf('0.30.0.1',plain,
% 0.65/1.09 ( right_inverse(X1) = left_inverse(X1) ),
% 0.65/1.09 inference(reduction,[status(thm)],['0.30.0.0','0.17.2.0',theory(equality)]),
% 0.65/1.09 [pos('R','L')]).
% 0.65/1.09 cnf('0.30.1.0',plain,
% 0.65/1.09 ( right_inverse(X1) = left_inverse(X1) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.30.0.1']),
% 0.65/1.09 [weight('<14,29,5,[0,0,0,1]>')]).
% 0.65/1.09 cnf('0.30.2.0',plain,
% 0.65/1.09 ( left_inverse(X1) = right_inverse(X1) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_30]).
% 0.65/1.09 cnf('0.31.0.0',plain,
% 0.65/1.09 ( left_inverse(right_inverse(X1)) = X1 ),
% 0.65/1.09 inference(interreduction_right,[status(thm)],['0.18.2.0'])).
% 0.65/1.09 cnf('0.31.0.1',plain,
% 0.65/1.09 ( right_inverse(right_inverse(X1)) = X1 ),
% 0.65/1.09 inference(reduction,[status(thm)],['0.31.0.0','0.30.2.0',theory(equality)]),
% 0.65/1.09 [pos('L','L')]).
% 0.65/1.09 cnf('0.31.1.0',plain,
% 0.65/1.09 ( right_inverse(right_inverse(X1)) = X1 ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.31.0.1']),
% 0.65/1.09 [weight('<19,18,30,[0,0,0,0]>')]).
% 0.65/1.09 cnf('0.31.2.0',plain,
% 0.65/1.09 ( right_inverse(right_inverse(X1)) = X1 ),
% 0.65/1.09 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.65/1.09 [u,rule_31]).
% 0.65/1.09 cnf('0.45.0.0',plain,
% 0.65/1.09 ( multiply(X1,multiply(left_division(X1,X2),X1)) = multiply(X2,X1) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.27.2.0','0.1.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.1','L')]).
% 0.65/1.09 cnf('0.45.1.0',plain,
% 0.65/1.09 ( multiply(X1,multiply(left_division(X1,X2),X1)) = multiply(X2,X1) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.45.0.0']),
% 0.65/1.09 [weight('<87,27,1,[1,0,0,1]>')]).
% 0.65/1.09 cnf('0.45.2.0',plain,
% 0.65/1.09 ( multiply(X1,multiply(left_division(X1,X2),X1)) = multiply(X2,X1) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 0.65/1.09 [u,rule_45]).
% 0.65/1.09 cnf('0.46.0.0',plain,
% 0.65/1.09 ( multiply(left_division(X1,X2),X1) = left_division(X1,multiply(X2,X1)) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.6.2.0','0.45.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.2','L')]).
% 0.65/1.09 cnf('0.46.1.0',plain,
% 0.65/1.09 ( multiply(left_division(X1,X2),X1) = left_division(X1,multiply(X2,X1)) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.46.0.0']),
% 0.65/1.09 [weight('<65,45,6,[0,0,0,2]>')]).
% 0.65/1.09 cnf('0.46.2.0',plain,
% 0.65/1.09 ( multiply(left_division(X1,X2),X1) = left_division(X1,multiply(X2,X1)) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.65/1.09 [u,rule_46]).
% 0.65/1.09 cnf('0.54.0.0',plain,
% 0.65/1.09 ( multiply(X1,X2) = right_division(multiply(X1,multiply(X2,X1)),X1) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.5.2.0','0.27.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.1','L')]).
% 0.65/1.09 cnf('0.54.1.0',plain,
% 0.65/1.09 ( multiply(X1,X2) = right_division(multiply(X1,multiply(X2,X1)),X1) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.54.0.0']),
% 0.65/1.09 [weight('<87,27,5,[0,0,0,1]>')]).
% 0.65/1.09 cnf('0.54.2.0',plain,
% 0.65/1.09 ( right_division(multiply(X1,multiply(X2,X1)),X1) = multiply(X1,X2) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_54]).
% 0.65/1.09 cnf('0.60.0.0',plain,
% 0.65/1.09 ( left_division(X1,X2) = right_division(left_division(X1,multiply(X2,X1)),X1) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.5.2.0','0.46.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.1','L')]).
% 0.65/1.09 cnf('0.60.1.0',plain,
% 0.65/1.09 ( left_division(X1,X2) = right_division(left_division(X1,multiply(X2,X1)),X1) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.60.0.0']),
% 0.65/1.09 [weight('<87,46,5,[0,0,0,1]>')]).
% 0.65/1.09 cnf('0.60.2.0',plain,
% 0.65/1.09 ( right_division(left_division(X1,multiply(X2,X1)),X1) = left_division(X1,X2) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_60]).
% 0.65/1.09 cnf('0.61.0.0',plain,
% 0.65/1.09 ( left_division(X1,right_division(X2,X1)) = right_division(left_division(X1,X2),X1) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.60.2.0','0.4.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.1.2','L')]).
% 0.65/1.09 cnf('0.61.1.0',plain,
% 0.65/1.09 ( left_division(X1,right_division(X2,X1)) = right_division(left_division(X1,X2),X1) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.61.0.0']),
% 0.65/1.09 [weight('<65,60,4,[1,0,0,3]>')]).
% 0.65/1.09 cnf('0.61.2.0',plain,
% 0.65/1.09 ( right_division(left_division(X1,X2),X1) = left_division(X1,right_division(X2,X1)) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_61]).
% 0.65/1.09 cnf('0.71.0.0',plain,
% 0.65/1.09 ( multiply(right_inverse(X1),multiply(X1,multiply(X2,X1))) = multiply(multiply(identity,X2),X1) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.7.2.0','0.29.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.1.1','L')]).
% 0.65/1.09 cnf('0.71.0.1',plain,
% 0.65/1.09 ( multiply(right_inverse(X1),multiply(X1,multiply(X2,X1))) = multiply(X2,X1) ),
% 0.65/1.09 inference(reduction,[status(thm)],['0.71.0.0','0.3.2.0',theory(equality)]),
% 0.65/1.09 [pos('R.1','L')]).
% 0.65/1.09 cnf('0.71.1.0',plain,
% 0.65/1.09 ( multiply(right_inverse(X1),multiply(X1,multiply(X2,X1))) = multiply(X2,X1) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.71.0.1']),
% 0.65/1.09 [weight('<107,29,7,[0,0,0,2]>')]).
% 0.65/1.09 cnf('0.71.2.0',plain,
% 0.65/1.09 ( multiply(right_inverse(X1),multiply(X1,multiply(X2,X1))) = multiply(X2,X1) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.71.1.0',theory(equality)]),
% 0.65/1.09 [u,rule_71]).
% 0.65/1.09 cnf('0.72.0.0',plain,
% 0.65/1.09 ( multiply(right_division(X1,X2),X2) = multiply(right_inverse(X2),multiply(X2,X1)) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.71.2.0','0.4.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.2.2','L')]).
% 0.65/1.09 cnf('0.72.0.1',plain,
% 0.65/1.09 ( X1 = multiply(right_inverse(X2),multiply(X2,X1)) ),
% 0.65/1.09 inference(reduction,[status(thm)],['0.72.0.0','0.4.2.0',theory(equality)]),
% 0.65/1.09 [pos('L','L')]).
% 0.65/1.09 cnf('0.72.1.0',plain,
% 0.65/1.09 ( X1 = multiply(right_inverse(X2),multiply(X2,X1)) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.72.0.1']),
% 0.65/1.09 [weight('<55,71,4,[1,0,0,5]>')]).
% 0.65/1.09 cnf('0.72.2.0',plain,
% 0.65/1.09 ( multiply(right_inverse(X1),multiply(X1,X2)) = X2 ),
% 0.65/1.09 inference(orient,[status(thm)],['0.72.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_72]).
% 0.65/1.09 cnf('0.73.0.0',plain,
% 0.65/1.09 ( left_division(X1,X2) = multiply(right_inverse(X1),X2) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.72.2.0','0.1.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.2','L')]).
% 0.65/1.09 cnf('0.73.1.0',plain,
% 0.65/1.09 ( left_division(X1,X2) = multiply(right_inverse(X1),X2) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.73.0.0']),
% 0.65/1.09 [weight('<39,72,1,[1,0,0,3]>')]).
% 0.65/1.09 cnf('0.73.2.0',plain,
% 0.65/1.09 ( multiply(right_inverse(X1),X2) = left_division(X1,X2) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.73.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_73]).
% 0.65/1.09 cnf('0.74.0.0',plain,
% 0.65/1.09 ( left_division(right_inverse(X1),X2) = multiply(X1,X2) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.73.2.0','0.31.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.1','L')]).
% 0.65/1.09 cnf('0.74.1.0',plain,
% 0.65/1.09 ( left_division(right_inverse(X1),X2) = multiply(X1,X2) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.74.0.0']),
% 0.65/1.09 [weight('<39,73,31,[1,0,0,1]>')]).
% 0.65/1.09 cnf('0.74.2.0',plain,
% 0.65/1.09 ( left_division(right_inverse(X1),X2) = multiply(X1,X2) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.74.1.0',theory(equality)]),
% 0.65/1.09 [u,rule_74]).
% 0.65/1.09 cnf('0.75.0.0',plain,
% 0.65/1.09 ( right_inverse(X1) = right_division(left_division(X1,X2),X2) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.5.2.0','0.73.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.1','L')]).
% 0.65/1.09 cnf('0.75.1.0',plain,
% 0.65/1.09 ( right_inverse(X1) = right_division(left_division(X1,X2),X2) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.75.0.0']),
% 0.65/1.09 [weight('<47,73,5,[0,0,0,1]>')]).
% 0.65/1.09 cnf('0.75.2.0',plain,
% 0.65/1.09 ( right_division(left_division(X1,X2),X2) = right_inverse(X1) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.75.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_75]).
% 0.65/1.09 cnf('0.76.0.0',plain,
% 0.65/1.09 ( right_inverse(right_division(X1,X2)) = right_division(X2,X1) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.75.2.0','0.21.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.1','L')]).
% 0.65/1.09 cnf('0.76.1.0',plain,
% 0.65/1.09 ( right_inverse(right_division(X1,X2)) = right_division(X2,X1) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.76.0.0']),
% 0.65/1.09 [weight('<39,75,21,[1,0,0,1]>')]).
% 0.65/1.09 cnf('0.76.2.0',plain,
% 0.65/1.09 ( right_inverse(right_division(X1,X2)) = right_division(X2,X1) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.76.1.0',theory(equality)]),
% 0.65/1.09 [u,rule_76]).
% 0.65/1.09 cnf('0.77.0.0',plain,
% 0.65/1.09 ( right_inverse(X1) = right_division(X2,multiply(X1,X2)) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.20.2.0','0.74.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.2','L')]).
% 0.65/1.09 cnf('0.77.1.0',plain,
% 0.65/1.09 ( right_inverse(X1) = right_division(X2,multiply(X1,X2)) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.77.0.0']),
% 0.65/1.09 [weight('<47,74,20,[0,0,0,2]>')]).
% 0.65/1.09 cnf('0.77.2.0',plain,
% 0.65/1.09 ( right_division(X1,multiply(X2,X1)) = right_inverse(X2) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.77.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_77]).
% 0.65/1.09 cnf('0.85.0.0',plain,
% 0.65/1.09 ( right_division(X1,left_division(X1,X2)) = right_inverse(left_division(X1,right_division(X2,X1))) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.76.2.0','0.61.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.1','L')]).
% 0.65/1.09 cnf('0.85.1.0',plain,
% 0.65/1.09 ( right_division(X1,left_division(X1,X2)) = right_inverse(left_division(X1,right_division(X2,X1))) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.85.0.0']),
% 0.65/1.09 [weight('<83,76,61,[1,0,0,1]>')]).
% 0.65/1.09 cnf('0.85.2.0',plain,
% 0.65/1.09 ( right_inverse(left_division(X1,right_division(X2,X1))) = right_division(X1,left_division(X1,X2)) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.85.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_85]).
% 0.65/1.09 cnf('0.93.0.0',plain,
% 0.65/1.09 ( multiply(X1,right_inverse(X2)) = right_division(multiply(X1,left_division(X2,X1)),X1) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.54.2.0','0.73.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.1.2','L')]).
% 0.65/1.09 cnf('0.93.1.0',plain,
% 0.65/1.09 ( multiply(X1,right_inverse(X2)) = right_division(multiply(X1,left_division(X2,X1)),X1) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.93.0.0']),
% 0.65/1.09 [weight('<95,73,54,[0,0,0,3]>')]).
% 0.65/1.09 cnf('0.93.2.0',plain,
% 0.65/1.09 ( right_division(multiply(X1,left_division(X2,X1)),X1) = multiply(X1,right_inverse(X2)) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.93.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_93]).
% 0.65/1.09 cnf('0.107.0.0',plain,
% 0.65/1.09 ( multiply(X1,multiply(X2,multiply(left_division(multiply(X1,X2),X3),X2))) = multiply(X3,X2) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.7.2.0','0.1.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.1','L')]).
% 0.65/1.09 cnf('0.107.1.0',plain,
% 0.65/1.09 ( multiply(X1,multiply(X2,multiply(left_division(multiply(X1,X2),X3),X2))) = multiply(X3,X2) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.107.0.0']),
% 0.65/1.09 [weight('<?,7,1,[1,0,0,1]>')]).
% 0.65/1.09 cnf('0.107.2.0',plain,
% 0.65/1.09 ( multiply(X1,multiply(X2,multiply(left_division(multiply(X1,X2),X3),X2))) = multiply(X3,X2) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.107.1.0',theory(equality)]),
% 0.65/1.09 [u,rule_107]).
% 0.65/1.09 cnf('0.113.0.0',plain,
% 0.65/1.09 ( multiply(identity,X1) = multiply(X2,multiply(X1,multiply(right_inverse(multiply(X2,X1)),X1))) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.107.2.0','0.16.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.2.2.1','L')]).
% 0.65/1.09 cnf('0.113.0.1',plain,
% 0.65/1.09 ( X1 = multiply(X2,multiply(X1,multiply(right_inverse(multiply(X2,X1)),X1))) ),
% 0.65/1.09 inference(reduction,[status(thm)],['0.113.0.0','0.3.2.0',theory(equality)]),
% 0.65/1.09 [pos('L','L')]).
% 0.65/1.09 cnf('0.113.0.2',plain,
% 0.65/1.09 ( X1 = multiply(X2,multiply(X1,left_division(multiply(X2,X1),X1))) ),
% 0.65/1.09 inference(reduction,[status(thm)],['0.113.0.1','0.73.2.0',theory(equality)]),
% 0.65/1.09 [pos('R.2.2','L')]).
% 0.65/1.09 cnf('0.113.1.0',plain,
% 0.65/1.09 ( X1 = multiply(X2,multiply(X1,left_division(multiply(X2,X1),X1))) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.113.0.2']),
% 0.65/1.09 [weight('<109,107,16,[1,0,0,5]>')]).
% 0.65/1.09 cnf('0.113.2.0',plain,
% 0.65/1.09 ( multiply(X1,multiply(X2,left_division(multiply(X1,X2),X2))) = X2 ),
% 0.65/1.09 inference(orient,[status(thm)],['0.113.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_113]).
% 0.65/1.09 cnf('0.114.0.0',plain,
% 0.65/1.09 ( right_inverse(X1) = right_division(multiply(X2,left_division(multiply(X1,X2),X2)),X2) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.77.2.0','0.113.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.2','L')]).
% 0.65/1.09 cnf('0.114.0.1',plain,
% 0.65/1.09 ( right_inverse(X1) = multiply(X2,right_inverse(multiply(X1,X2))) ),
% 0.65/1.09 inference(reduction,[status(thm)],['0.114.0.0','0.93.2.0',theory(equality)]),
% 0.65/1.09 [pos('R','L')]).
% 0.65/1.09 cnf('0.114.1.0',plain,
% 0.65/1.09 ( right_inverse(X1) = multiply(X2,right_inverse(multiply(X1,X2))) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.114.0.1']),
% 0.65/1.09 [weight('<62,113,77,[0,0,0,2]>')]).
% 0.65/1.09 cnf('0.114.2.0',plain,
% 0.65/1.09 ( multiply(X1,right_inverse(multiply(X2,X1))) = right_inverse(X2) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.114.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_114]).
% 0.65/1.09 cnf('0.115.0.0',plain,
% 0.65/1.09 ( right_inverse(multiply(X1,X2)) = left_division(X2,right_inverse(X1)) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.6.2.0','0.114.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.2','L')]).
% 0.65/1.09 cnf('0.115.1.0',plain,
% 0.65/1.09 ( right_inverse(multiply(X1,X2)) = left_division(X2,right_inverse(X1)) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.115.0.0']),
% 0.65/1.09 [weight('<44,114,6,[0,0,0,2]>')]).
% 0.65/1.09 cnf('0.115.2.0',plain,
% 0.65/1.09 ( right_inverse(multiply(X1,X2)) = left_division(X2,right_inverse(X1)) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.115.1.0',theory(equality)]),
% 0.65/1.09 [u,rule_115]).
% 0.65/1.09 cnf('0.116.0.0',plain,
% 0.65/1.09 ( left_division(X1,right_inverse(right_inverse(X2))) = right_inverse(left_division(X2,X1)) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.115.2.0','0.73.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.1','L')]).
% 0.65/1.09 cnf('0.116.0.1',plain,
% 0.65/1.09 ( left_division(X1,X2) = right_inverse(left_division(X2,X1)) ),
% 0.65/1.09 inference(reduction,[status(thm)],['0.116.0.0','0.31.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.2','L')]).
% 0.65/1.09 cnf('0.116.1.0',plain,
% 0.65/1.09 ( left_division(X1,X2) = right_inverse(left_division(X2,X1)) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.116.0.1']),
% 0.65/1.09 [weight('<39,115,73,[1,0,0,1]>')]).
% 0.65/1.09 cnf('0.116.2.0',plain,
% 0.65/1.09 ( right_inverse(left_division(X1,X2)) = left_division(X2,X1) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.116.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_116]).
% 0.65/1.09 cnf('0.117.0.0',plain,
% 0.65/1.09 ( left_division(multiply(X1,X2),X1) = right_inverse(X2) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.116.2.0','0.6.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.1','L')]).
% 0.65/1.09 cnf('0.117.1.0',plain,
% 0.65/1.09 ( left_division(multiply(X1,X2),X1) = right_inverse(X2) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.117.0.0']),
% 0.65/1.09 [weight('<47,116,6,[1,0,0,1]>')]).
% 0.65/1.09 cnf('0.117.2.0',plain,
% 0.65/1.09 ( left_division(multiply(X1,X2),X1) = right_inverse(X2) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.117.1.0',theory(equality)]),
% 0.65/1.09 [u,rule_117]).
% 0.65/1.09 cnf('0.118.0.0',plain,
% 0.65/1.09 ( multiply(X1,X2) = right_division(X1,right_inverse(X2)) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.20.2.0','0.117.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.2','L')]).
% 0.65/1.09 cnf('0.118.1.0',plain,
% 0.65/1.09 ( multiply(X1,X2) = right_division(X1,right_inverse(X2)) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.118.0.0']),
% 0.65/1.09 [weight('<39,117,20,[0,0,0,2]>')]).
% 0.65/1.09 cnf('0.118.2.0',plain,
% 0.65/1.09 ( right_division(X1,right_inverse(X2)) = multiply(X1,X2) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.118.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_118]).
% 0.65/1.09 cnf('0.120.0.0',plain,
% 0.65/1.09 ( right_inverse(multiply(X1,X2)) = right_division(right_inverse(X2),X1) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.75.2.0','0.117.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.1','L')]).
% 0.65/1.09 cnf('0.120.0.1',plain,
% 0.65/1.09 ( left_division(X2,right_inverse(X1)) = right_division(right_inverse(X2),X1) ),
% 0.65/1.09 inference(reduction,[status(thm)],['0.120.0.0','0.115.2.0',theory(equality)]),
% 0.65/1.09 [pos('L','L')]).
% 0.65/1.09 cnf('0.120.1.0',plain,
% 0.65/1.09 ( left_division(X2,right_inverse(X1)) = right_division(right_inverse(X2),X1) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.120.0.1']),
% 0.65/1.09 [weight('<44,117,75,[0,0,0,1]>')]).
% 0.65/1.09 cnf('0.120.2.0',plain,
% 0.65/1.09 ( right_division(right_inverse(X1),X2) = left_division(X1,right_inverse(X2)) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.120.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_120]).
% 0.65/1.09 cnf('0.124.0.0',plain,
% 0.65/1.09 ( right_inverse(left_division(X1,right_division(X2,X1))) = right_division(X1,left_division(X1,X2)) ),
% 0.65/1.09 inference(interreduction_right,[status(thm)],['0.85.2.0'])).
% 0.65/1.09 cnf('0.124.0.1',plain,
% 0.65/1.09 ( left_division(right_division(X2,X1),X1) = right_division(X1,left_division(X1,X2)) ),
% 0.65/1.09 inference(reduction,[status(thm)],['0.124.0.0','0.116.2.0',theory(equality)]),
% 0.65/1.09 [pos('L','L')]).
% 0.65/1.09 cnf('0.124.1.0',plain,
% 0.65/1.09 ( left_division(right_division(X2,X1),X1) = right_division(X1,left_division(X1,X2)) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.124.0.1']),
% 0.65/1.09 [weight('<65,85,116,[0,0,0,0]>')]).
% 0.65/1.09 cnf('0.124.2.0',plain,
% 0.65/1.09 ( right_division(X1,left_division(X1,X2)) = left_division(right_division(X2,X1),X1) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.124.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_124]).
% 0.65/1.09 cnf('0.125.0.0',plain,
% 0.65/1.09 ( left_division(left_division(X1,X2),X3) = multiply(left_division(X2,X1),X3) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.73.2.0','0.116.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.1','L')]).
% 0.65/1.09 cnf('0.125.1.0',plain,
% 0.65/1.09 ( left_division(left_division(X1,X2),X3) = multiply(left_division(X2,X1),X3) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.125.0.0']),
% 0.65/1.09 [weight('<65,116,73,[0,0,0,1]>')]).
% 0.65/1.09 cnf('0.125.2.0',plain,
% 0.65/1.09 ( multiply(left_division(X1,X2),X3) = left_division(left_division(X2,X1),X3) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.125.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_125]).
% 0.65/1.09 cnf('0.128.0.0',plain,
% 0.65/1.09 ( multiply(X1,right_division(X2,X3)) = right_division(X1,right_division(X3,X2)) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.118.2.0','0.76.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.2','L')]).
% 0.65/1.09 cnf('0.128.1.0',plain,
% 0.65/1.09 ( multiply(X1,right_division(X2,X3)) = right_division(X1,right_division(X3,X2)) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.128.0.0']),
% 0.65/1.09 [weight('<65,118,76,[1,0,0,2]>')]).
% 0.65/1.09 cnf('0.128.2.0',plain,
% 0.65/1.09 ( multiply(X1,right_division(X2,X3)) = right_division(X1,right_division(X3,X2)) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.128.1.0',theory(equality)]),
% 0.65/1.09 [u,rule_128]).
% 0.65/1.09 cnf('0.130.0.0',plain,
% 0.65/1.09 ( multiply(X1,left_division(X2,X3)) = right_division(X1,left_division(X3,X2)) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.118.2.0','0.116.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.2','L')]).
% 0.65/1.09 cnf('0.130.1.0',plain,
% 0.65/1.09 ( multiply(X1,left_division(X2,X3)) = right_division(X1,left_division(X3,X2)) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.130.0.0']),
% 0.65/1.09 [weight('<65,118,116,[1,0,0,2]>')]).
% 0.65/1.09 cnf('0.130.2.0',plain,
% 0.65/1.09 ( multiply(X1,left_division(X2,X3)) = right_division(X1,left_division(X3,X2)) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.130.1.0',theory(equality)]),
% 0.65/1.09 [u,rule_130]).
% 0.65/1.09 cnf('0.134.0.0',plain,
% 0.65/1.09 ( multiply(multiply(X1,X2),X3) = left_division(left_division(X2,right_inverse(X1)),X3) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.74.2.0','0.115.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.1','L')]).
% 0.65/1.09 cnf('0.134.1.0',plain,
% 0.65/1.09 ( multiply(multiply(X1,X2),X3) = left_division(left_division(X2,right_inverse(X1)),X3) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.134.0.0']),
% 0.65/1.09 [weight('<83,115,74,[0,0,0,1]>')]).
% 0.65/1.09 cnf('0.134.2.0',plain,
% 0.65/1.09 ( left_division(left_division(X1,right_inverse(X2)),X3) = multiply(multiply(X2,X1),X3) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.134.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_134]).
% 0.65/1.09 cnf('0.137.0.0',plain,
% 0.65/1.09 ( multiply(X1,multiply(X2,X3)) = right_division(X1,left_division(X3,right_inverse(X2))) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.118.2.0','0.115.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.2','L')]).
% 0.65/1.09 cnf('0.137.1.0',plain,
% 0.65/1.09 ( multiply(X1,multiply(X2,X3)) = right_division(X1,left_division(X3,right_inverse(X2))) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.137.0.0']),
% 0.65/1.09 [weight('<83,118,115,[1,0,0,2]>')]).
% 0.65/1.09 cnf('0.137.2.0',plain,
% 0.65/1.09 ( right_division(X1,left_division(X2,right_inverse(X3))) = multiply(X1,multiply(X3,X2)) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.137.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_137]).
% 0.65/1.09 cnf('0.150.0.0',plain,
% 0.65/1.09 ( left_division(multiply(X1,X2),right_inverse(X3)) = right_division(left_division(X2,right_inverse(X1)),X3) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.120.2.0','0.115.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.1','L')]).
% 0.65/1.09 cnf('0.150.1.0',plain,
% 0.65/1.09 ( left_division(multiply(X1,X2),right_inverse(X3)) = right_division(left_division(X2,right_inverse(X1)),X3) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.150.0.0']),
% 0.65/1.09 [weight('<90,120,115,[1,0,0,1]>')]).
% 0.65/1.09 cnf('0.150.2.0',plain,
% 0.65/1.09 ( right_division(left_division(X1,right_inverse(X2)),X3) = left_division(multiply(X2,X1),right_inverse(X3)) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.150.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_150]).
% 0.65/1.09 cnf('0.175.0.0',plain,
% 0.65/1.09 ( multiply(right_inverse(X1),multiply(X2,multiply(X3,X2))) = multiply(multiply(left_division(X1,X2),X3),X2) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.7.2.0','0.73.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.1.1','L')]).
% 0.65/1.09 cnf('0.175.0.1',plain,
% 0.65/1.09 ( left_division(X1,multiply(X2,multiply(X3,X2))) = multiply(multiply(left_division(X1,X2),X3),X2) ),
% 0.65/1.09 inference(reduction,[status(thm)],['0.175.0.0','0.73.2.0',theory(equality)]),
% 0.65/1.09 [pos('L','L')]).
% 0.65/1.09 cnf('0.175.1.0',plain,
% 0.65/1.09 ( left_division(X1,multiply(X2,multiply(X3,X2))) = multiply(multiply(left_division(X1,X2),X3),X2) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.175.0.1']),
% 0.65/1.09 [weight('<119,73,7,[0,0,0,2]>')]).
% 0.65/1.09 cnf('0.175.1.1',plain,
% 0.65/1.09 ( left_division(X1,multiply(X2,multiply(X3,X2))) = multiply(left_division(left_division(X2,X1),X3),X2) ),
% 0.65/1.09 inference(reduction,[status(thm)],['0.175.1.0','0.125.2.0',theory(equality)]),
% 0.65/1.09 [pos('R.1','L')]).
% 0.65/1.09 cnf('0.175.1.2',plain,
% 0.65/1.09 ( left_division(X1,multiply(X2,multiply(X3,X2))) = left_division(left_division(X3,left_division(X2,X1)),X2) ),
% 0.65/1.09 inference(reduction,[status(thm)],['0.175.1.1','0.125.2.0',theory(equality)]),
% 0.65/1.09 [pos('R','L')]).
% 0.65/1.09 cnf('0.175.2.0',plain,
% 0.65/1.09 ( left_division(left_division(X1,left_division(X2,X3)),X2) = left_division(X3,multiply(X2,multiply(X1,X2))) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.175.1.2',theory(equality)]),
% 0.65/1.09 [x,rule_175]).
% 0.65/1.09 cnf('0.211.0.0',plain,
% 0.65/1.09 ( left_division(X1,multiply(X2,multiply(right_inverse(X3),X2))) = left_division(multiply(X3,left_division(X2,X1)),X2) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.175.2.0','0.74.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.1','L')]).
% 0.65/1.09 cnf('0.211.0.1',plain,
% 0.65/1.09 ( left_division(X1,multiply(X2,left_division(X3,X2))) = left_division(multiply(X3,left_division(X2,X1)),X2) ),
% 0.65/1.09 inference(reduction,[status(thm)],['0.211.0.0','0.73.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.2.2','L')]).
% 0.65/1.09 cnf('0.211.0.2',plain,
% 0.65/1.09 ( left_division(X1,right_division(X2,left_division(X2,X3))) = left_division(multiply(X3,left_division(X2,X1)),X2) ),
% 0.65/1.09 inference(reduction,[status(thm)],['0.211.0.1','0.130.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.2','L')]).
% 0.65/1.09 cnf('0.211.0.3',plain,
% 0.65/1.09 ( left_division(X1,left_division(right_division(X3,X2),X2)) = left_division(multiply(X3,left_division(X2,X1)),X2) ),
% 0.65/1.09 inference(reduction,[status(thm)],['0.211.0.2','0.124.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.2','L')]).
% 0.65/1.09 cnf('0.211.0.4',plain,
% 0.65/1.09 ( left_division(X1,left_division(right_division(X3,X2),X2)) = left_division(right_division(X3,left_division(X1,X2)),X2) ),
% 0.65/1.09 inference(reduction,[status(thm)],['0.211.0.3','0.130.2.0',theory(equality)]),
% 0.65/1.09 [pos('R.1','L')]).
% 0.65/1.09 cnf('0.211.1.0',plain,
% 0.65/1.09 ( left_division(X1,left_division(right_division(X3,X2),X2)) = left_division(right_division(X3,left_division(X1,X2)),X2) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.211.0.4']),
% 0.65/1.09 [weight('<119,175,74,[1,0,0,1]>')]).
% 0.65/1.09 cnf('0.211.2.0',plain,
% 0.65/1.09 ( left_division(right_division(X1,left_division(X2,X3)),X3) = left_division(X2,left_division(right_division(X1,X3),X3)) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.211.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_211]).
% 0.65/1.09 cnf('0.225.0.0',plain,
% 0.65/1.09 ( left_division(X1,right_division(X2,left_division(X3,X1))) = right_inverse(left_division(X3,left_division(right_division(X2,X1),X1))) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.116.2.0','0.211.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.1','L')]).
% 0.65/1.09 cnf('0.225.0.1',plain,
% 0.65/1.09 ( left_division(X1,right_division(X2,left_division(X3,X1))) = left_division(left_division(right_division(X2,X1),X1),X3) ),
% 0.65/1.09 inference(reduction,[status(thm)],['0.225.0.0','0.116.2.0',theory(equality)]),
% 0.65/1.09 [pos('R','L')]).
% 0.65/1.09 cnf('0.225.1.0',plain,
% 0.65/1.09 ( left_division(X1,right_division(X2,left_division(X3,X1))) = left_division(left_division(right_division(X2,X1),X1),X3) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.225.0.1']),
% 0.65/1.09 [weight('<119,211,116,[0,0,0,1]>')]).
% 0.65/1.09 cnf('0.225.2.0',plain,
% 0.65/1.09 ( left_division(left_division(right_division(X1,X2),X2),X3) = left_division(X2,right_division(X1,left_division(X3,X2))) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.225.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_225]).
% 0.65/1.09 cnf('0.237.0.0',plain,
% 0.65/1.09 ( left_division(right_inverse(X1),right_division(X2,left_division(X3,right_inverse(X1)))) = left_division(left_division(multiply(X2,X1),right_inverse(X1)),X3) ),
% 0.65/1.09 inference(cp,[status(thm)],['0.225.2.0','0.118.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.1.1','L')]).
% 0.65/1.09 cnf('0.237.0.1',plain,
% 0.65/1.09 ( multiply(X1,right_division(X2,left_division(X3,right_inverse(X1)))) = left_division(left_division(multiply(X2,X1),right_inverse(X1)),X3) ),
% 0.65/1.09 inference(reduction,[status(thm)],['0.237.0.0','0.74.2.0',theory(equality)]),
% 0.65/1.09 [pos('L','L')]).
% 0.65/1.09 cnf('0.237.0.2',plain,
% 0.65/1.09 ( right_division(X1,right_division(left_division(X3,right_inverse(X1)),X2)) = left_division(left_division(multiply(X2,X1),right_inverse(X1)),X3) ),
% 0.65/1.09 inference(reduction,[status(thm)],['0.237.0.1','0.128.2.0',theory(equality)]),
% 0.65/1.09 [pos('L','L')]).
% 0.65/1.09 cnf('0.237.0.3',plain,
% 0.65/1.09 ( right_division(X1,left_division(multiply(X1,X3),right_inverse(X2))) = left_division(left_division(multiply(X2,X1),right_inverse(X1)),X3) ),
% 0.65/1.09 inference(reduction,[status(thm)],['0.237.0.2','0.150.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.2','L')]).
% 0.65/1.09 cnf('0.237.0.4',plain,
% 0.65/1.09 ( multiply(X1,multiply(X2,multiply(X1,X3))) = left_division(left_division(multiply(X2,X1),right_inverse(X1)),X3) ),
% 0.65/1.09 inference(reduction,[status(thm)],['0.237.0.3','0.137.2.0',theory(equality)]),
% 0.65/1.09 [pos('L','L')]).
% 0.65/1.09 cnf('0.237.0.5',plain,
% 0.65/1.09 ( multiply(X1,multiply(X2,multiply(X1,X3))) = multiply(multiply(X1,multiply(X2,X1)),X3) ),
% 0.65/1.09 inference(reduction,[status(thm)],['0.237.0.4','0.134.2.0',theory(equality)]),
% 0.65/1.09 [pos('R','L')]).
% 0.65/1.09 cnf('0.237.1.0',plain,
% 0.65/1.09 ( multiply(X1,multiply(X2,multiply(X1,X3))) = multiply(multiply(X1,multiply(X2,X1)),X3) ),
% 0.65/1.09 inference(weigh,[status(thm)],['0.237.0.5']),
% 0.65/1.09 [weight('<119,225,118,[1,0,0,2]>')]).
% 0.65/1.09 cnf('0.237.2.0',plain,
% 0.65/1.09 ( multiply(multiply(X1,multiply(X2,X1)),X3) = multiply(X1,multiply(X2,multiply(X1,X3))) ),
% 0.65/1.09 inference(orient,[status(thm)],['0.237.1.0',theory(equality)]),
% 0.65/1.09 [x,rule_237]).
% 0.65/1.09 cnf('1.0.0.0',conjecture,
% 0.65/1.09 ( multiply(multiply(multiply(a,b),a),c) = multiply(a,multiply(b,multiply(a,c))) ),
% 0.65/1.09 file('/tmp/WALDMEISTER_22522_n011',conjecture_1)).
% 0.65/1.09 cnf('1.0.0.1',plain,
% 0.65/1.09 ( multiply(multiply(a,multiply(b,a)),c) = multiply(a,multiply(b,multiply(a,c))) ),
% 0.65/1.09 inference(reduction,[status(thm)],['1.0.0.0','0.27.2.0',theory(equality)]),
% 0.65/1.09 [pos('L.1','L')]).
% 0.65/1.09 cnf('1.0.0.2',plain,
% 0.65/1.09 ( multiply(a,multiply(b,multiply(a,c))) = multiply(a,multiply(b,multiply(a,c))) ),
% 0.65/1.09 inference(reduction,[status(thm)],['1.0.0.1','0.237.2.0',theory(equality)]),
% 0.65/1.09 [pos('L','L')]).
% 0.65/1.09 cnf('1.0.0.3',plain,
% 0.65/1.09 ( $true ),
% 0.65/1.09 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.65/1.09 [conjecture_1]).
% 0.65/1.09
% 0.65/1.09 Proved Goals:
% 0.65/1.09 No. 1: multiply(multiply(multiply(a,b),a),c) ?= multiply(a,multiply(b,multiply(a,c))) joined, current: multiply(a,multiply(b,multiply(a,c))) = multiply(a,multiply(b,multiply(a,c)))
% 0.65/1.09 1 goal was specified, which was proved.
% 0.65/1.09 % SZS output end CNFRefutation
% 0.65/1.09 #END OF PROOF
% 0.65/1.09
% 0.65/1.09 Problem WALDMEISTER_22522_n011
% 0.65/1.09 CPs.gen 11971
% 0.65/1.09 CPs.reexp 0
% 0.65/1.09 Select 726
% 0.65/1.09 R 237
% 0.65/1.09 E 0
% 0.65/1.09 vsize 6.6M
% 0.65/1.09 rss 3.8M
% 0.65/1.09 process.time 0.075s
% 0.65/1.09 wallclock.time 0.075s
% 0.65/1.09 status S
% 0.65/1.09
% 0.65/1.09
% 0.65/1.09 Waldmeister states: Goal proved.
% 0.65/1.09 % SZS status Unsatisfiable
%------------------------------------------------------------------------------