TSTP Solution File: GRP731-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP731-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n012.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 12:28:18 EDT 2022
% Result : Unsatisfiable 0.87s 1.24s
% Output : CNFRefutation 0.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP731-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : woody %s
% 0.11/0.33 % Computer : n012.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jun 13 11:45:40 EDT 2022
% 0.11/0.34 % CPUTime :
% 0.61/0.97 ********************************************************************************
% 0.61/0.97 * W A L D M E I S T E R \| \ / \|/ *
% 0.61/0.97 * |/ | \/ | *
% 0.61/0.97 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.61/0.97 * A. Jaeger and B. Loechner | | *
% 0.61/0.97 * <waldmeister@informatik.uni-kl.de> | *
% 0.61/0.97 ********************************************************************************
% 0.61/0.97
% 0.61/0.97
% 0.61/0.97 Goals:
% 0.61/0.97 ------
% 0.61/0.97
% 0.61/0.97 ( 1) unit ?=? op_k(asoc(a,b,c),d)
% 0.61/0.97
% 0.61/0.97 Detected structure: Praeloop
% 0.61/0.97 ********************************************************************************
% 0.61/0.97 ****************************** COMPLETION - PROOF ******************************
% 0.61/0.97 ********************************************************************************
% 0.61/0.97
% 0.87/1.24 joined goal: 1 unit ?= op_k(asoc(a,b,c),d) to unit
% 0.87/1.24 goal joined
% 0.87/1.24 % SZS status Unsatisfiable
% 0.87/1.24 #START OF PROOF
% 0.87/1.24 % SZS output start CNFRefutation
% 0.87/1.24 cnf('0.1.0.0',axiom,
% 0.87/1.24 ( X1 = mult(X1,unit) ),
% 0.87/1.24 file('/tmp/WALDMEISTER_24601_n012')).
% 0.87/1.24 cnf('0.1.1.0',plain,
% 0.87/1.24 ( X1 = mult(X1,unit) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.87/1.24 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.87/1.24 cnf('0.1.2.0',plain,
% 0.87/1.24 ( mult(X1,unit) = X1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_1]).
% 0.87/1.24 cnf('0.2.0.0',axiom,
% 0.87/1.24 ( X1 = mult(i(X2),mult(X2,X1)) ),
% 0.87/1.24 file('/tmp/WALDMEISTER_24601_n012')).
% 0.87/1.24 cnf('0.2.1.0',plain,
% 0.87/1.24 ( X1 = mult(i(X2),mult(X2,X1)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.87/1.24 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.87/1.24 cnf('0.2.2.0',plain,
% 0.87/1.24 ( mult(i(X1),mult(X1,X2)) = X2 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_2]).
% 0.87/1.24 cnf('0.4.0.0',axiom,
% 0.87/1.24 ( X1 = mult(rd(X1,X2),X2) ),
% 0.87/1.24 file('/tmp/WALDMEISTER_24601_n012')).
% 0.87/1.24 cnf('0.4.1.0',plain,
% 0.87/1.24 ( X1 = mult(rd(X1,X2),X2) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.87/1.24 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.87/1.24 cnf('0.4.2.0',plain,
% 0.87/1.24 ( mult(rd(X1,X2),X2) = X1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_4]).
% 0.87/1.24 cnf('0.5.0.0',axiom,
% 0.87/1.24 ( X1 = rd(mult(X1,X2),X2) ),
% 0.87/1.24 file('/tmp/WALDMEISTER_24601_n012')).
% 0.87/1.24 cnf('0.5.1.0',plain,
% 0.87/1.24 ( X1 = rd(mult(X1,X2),X2) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.87/1.24 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.87/1.24 cnf('0.5.2.0',plain,
% 0.87/1.24 ( rd(mult(X1,X2),X2) = X1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_5]).
% 0.87/1.24 cnf('0.6.0.0',axiom,
% 0.87/1.24 ( mult(X1,X2) = mult(mult(X2,X1),op_k(X1,X2)) ),
% 0.87/1.24 file('/tmp/WALDMEISTER_24601_n012')).
% 0.87/1.24 cnf('0.6.1.0',plain,
% 0.87/1.24 ( mult(X1,X2) = mult(mult(X2,X1),op_k(X1,X2)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.87/1.24 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.87/1.24 cnf('0.6.2.0',plain,
% 0.87/1.24 ( mult(mult(X1,X2),op_k(X2,X1)) = mult(X2,X1) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_6]).
% 0.87/1.24 cnf('0.8.0.0',axiom,
% 0.87/1.24 ( mult(X1,i(X1)) = unit ),
% 0.87/1.24 file('/tmp/WALDMEISTER_24601_n012')).
% 0.87/1.24 cnf('0.8.1.0',plain,
% 0.87/1.24 ( mult(X1,i(X1)) = unit ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.87/1.24 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.87/1.24 cnf('0.8.2.0',plain,
% 0.87/1.24 ( mult(X1,i(X1)) = unit ),
% 0.87/1.24 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_8]).
% 0.87/1.24 cnf('0.9.0.0',axiom,
% 0.87/1.24 ( mult(mult(X1,X2),X3) = mult(mult(X1,mult(X2,X3)),asoc(X1,X2,X3)) ),
% 0.87/1.24 file('/tmp/WALDMEISTER_24601_n012')).
% 0.87/1.24 cnf('0.9.1.0',plain,
% 0.87/1.24 ( mult(mult(X1,X2),X3) = mult(mult(X1,mult(X2,X3)),asoc(X1,X2,X3)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.87/1.24 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.87/1.24 cnf('0.9.2.0',plain,
% 0.87/1.24 ( mult(mult(X1,mult(X2,X3)),asoc(X1,X2,X3)) = mult(mult(X1,X2),X3) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_9]).
% 0.87/1.24 cnf('0.10.0.0',axiom,
% 0.87/1.24 ( mult(i(X1),X1) = unit ),
% 0.87/1.24 file('/tmp/WALDMEISTER_24601_n012')).
% 0.87/1.24 cnf('0.10.1.0',plain,
% 0.87/1.24 ( mult(i(X1),X1) = unit ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.87/1.24 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.87/1.24 cnf('0.10.2.0',plain,
% 0.87/1.24 ( mult(i(X1),X1) = unit ),
% 0.87/1.24 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_10]).
% 0.87/1.24 cnf('0.11.0.0',axiom,
% 0.87/1.24 ( mult(i(X1),mult(X2,X1)) = op_t(X2,X1) ),
% 0.87/1.24 file('/tmp/WALDMEISTER_24601_n012')).
% 0.87/1.24 cnf('0.11.1.0',plain,
% 0.87/1.24 ( mult(i(X1),mult(X2,X1)) = op_t(X2,X1) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.87/1.24 [weight('<10,0,0,[0,0,0,11]>')]).
% 0.87/1.24 cnf('0.11.2.0',plain,
% 0.87/1.24 ( mult(i(X1),mult(X2,X1)) = op_t(X2,X1) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_11]).
% 0.87/1.24 cnf('0.12.0.0',axiom,
% 0.87/1.24 ( mult(i(X1),i(X2)) = i(mult(X1,X2)) ),
% 0.87/1.24 file('/tmp/WALDMEISTER_24601_n012')).
% 0.87/1.24 cnf('0.12.1.0',plain,
% 0.87/1.24 ( mult(i(X1),i(X2)) = i(mult(X1,X2)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.87/1.24 [weight('<11,0,0,[0,0,0,12]>')]).
% 0.87/1.24 cnf('0.12.2.0',plain,
% 0.87/1.24 ( mult(i(X1),i(X2)) = i(mult(X1,X2)) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_12]).
% 0.87/1.24 cnf('0.17.0.0',axiom,
% 0.87/1.24 ( op_r(X1,X2,X3) = rd(mult(mult(X1,X2),X3),mult(X2,X3)) ),
% 0.87/1.24 file('/tmp/WALDMEISTER_24601_n012')).
% 0.87/1.24 cnf('0.17.1.0',plain,
% 0.87/1.24 ( op_r(X1,X2,X3) = rd(mult(mult(X1,X2),X3),mult(X2,X3)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.87/1.24 [weight('<16,0,0,[0,0,0,17]>')]).
% 0.87/1.24 cnf('0.17.2.0',plain,
% 0.87/1.24 ( rd(mult(mult(X1,X2),X3),mult(X2,X3)) = op_r(X1,X2,X3) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_16]).
% 0.87/1.24 cnf('0.22.0.0',axiom,
% 0.87/1.24 ( unit = asoc(asoc(X1,X2,X3),X4,X5) ),
% 0.87/1.24 file('/tmp/WALDMEISTER_24601_n012')).
% 0.87/1.24 cnf('0.22.1.0',plain,
% 0.87/1.24 ( unit = asoc(asoc(X1,X2,X3),X4,X5) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.87/1.24 [weight('<21,0,0,[0,0,0,22]>')]).
% 0.87/1.24 cnf('0.22.2.0',plain,
% 0.87/1.24 ( asoc(asoc(X1,X2,X3),X4,X5) = unit ),
% 0.87/1.24 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_19]).
% 0.87/1.24 cnf('0.26.0.0',plain,
% 0.87/1.24 ( X1 = mult(i(i(X1)),unit) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.2.2.0','0.10.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.26.0.1',plain,
% 0.87/1.24 ( X1 = i(i(X1)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.26.0.0','0.1.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.26.1.0',plain,
% 0.87/1.24 ( X1 = i(i(X1)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.26.0.1']),
% 0.87/1.24 [weight('<19,10,2,[0,0,0,3]>')]).
% 0.87/1.24 cnf('0.26.2.0',plain,
% 0.87/1.24 ( i(i(X1)) = X1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_23]).
% 0.87/1.24 cnf('0.47.0.0',plain,
% 0.87/1.24 ( i(X1) = rd(X2,mult(X1,X2)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.5.2.0','0.2.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.47.1.0',plain,
% 0.87/1.24 ( i(X1) = rd(X2,mult(X1,X2)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.47.0.0']),
% 0.87/1.24 [weight('<47,5,2,[1,0,0,1]>')]).
% 0.87/1.24 cnf('0.47.2.0',plain,
% 0.87/1.24 ( rd(X1,mult(X2,X1)) = i(X2) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_44]).
% 0.87/1.24 cnf('0.48.0.0',plain,
% 0.87/1.24 ( i(rd(X1,X2)) = rd(X2,X1) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.47.2.0','0.4.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.48.1.0',plain,
% 0.87/1.24 ( i(rd(X1,X2)) = rd(X2,X1) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.48.0.0']),
% 0.87/1.24 [weight('<39,47,4,[1,0,0,2]>')]).
% 0.87/1.24 cnf('0.48.2.0',plain,
% 0.87/1.24 ( i(rd(X1,X2)) = rd(X2,X1) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_45]).
% 0.87/1.24 cnf('0.50.0.0',plain,
% 0.87/1.24 ( X1 = mult(X2,mult(i(X2),X1)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.2.2.0','0.26.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.50.1.0',plain,
% 0.87/1.24 ( X1 = mult(X2,mult(i(X2),X1)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.50.0.0']),
% 0.87/1.24 [weight('<55,26,2,[0,0,0,1]>')]).
% 0.87/1.24 cnf('0.50.2.0',plain,
% 0.87/1.24 ( mult(X1,mult(i(X1),X2)) = X2 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_47]).
% 0.87/1.24 cnf('0.53.0.0',plain,
% 0.87/1.24 ( mult(X1,X2) = mult(X2,op_t(X1,X2)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.50.2.0','0.11.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.53.1.0',plain,
% 0.87/1.24 ( mult(X1,X2) = mult(X2,op_t(X1,X2)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.53.0.0']),
% 0.87/1.24 [weight('<53,50,11,[1,0,0,2]>')]).
% 0.87/1.24 cnf('0.53.2.0',plain,
% 0.87/1.24 ( mult(X1,op_t(X2,X1)) = mult(X2,X1) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_50]).
% 0.87/1.24 cnf('0.55.0.0',plain,
% 0.87/1.24 ( op_t(i(X1),i(X2)) = mult(i(i(X2)),i(mult(X1,X2))) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.11.2.0','0.12.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.55.0.1',plain,
% 0.87/1.24 ( op_t(i(X1),i(X2)) = i(mult(i(X2),mult(X1,X2))) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.55.0.0','0.12.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.55.0.2',plain,
% 0.87/1.24 ( op_t(i(X1),i(X2)) = i(op_t(X1,X2)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.55.0.1','0.11.2.0',theory(equality)]),
% 0.87/1.24 [pos('R.1','L')]).
% 0.87/1.24 cnf('0.55.1.0',plain,
% 0.87/1.24 ( op_t(i(X1),i(X2)) = i(op_t(X1,X2)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.55.0.2']),
% 0.87/1.24 [weight('<59,12,11,[0,0,0,3]>')]).
% 0.87/1.24 cnf('0.55.2.0',plain,
% 0.87/1.24 ( op_t(i(X1),i(X2)) = i(op_t(X1,X2)) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_52]).
% 0.87/1.24 cnf('0.57.0.0',plain,
% 0.87/1.24 ( i(mult(i(X1),X2)) = mult(X1,i(X2)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.12.2.0','0.26.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.57.1.0',plain,
% 0.87/1.24 ( i(mult(i(X1),X2)) = mult(X1,i(X2)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.57.0.0']),
% 0.87/1.24 [weight('<59,26,12,[0,0,0,1]>')]).
% 0.87/1.24 cnf('0.57.2.0',plain,
% 0.87/1.24 ( i(mult(i(X1),X2)) = mult(X1,i(X2)) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_54]).
% 0.87/1.24 cnf('0.58.0.0',plain,
% 0.87/1.24 ( i(mult(X1,i(X2))) = mult(i(X1),X2) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.12.2.0','0.26.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.58.1.0',plain,
% 0.87/1.24 ( i(mult(X1,i(X2))) = mult(i(X1),X2) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.58.0.0']),
% 0.87/1.24 [weight('<59,26,12,[0,0,0,3]>')]).
% 0.87/1.24 cnf('0.58.2.0',plain,
% 0.87/1.24 ( i(mult(X1,i(X2))) = mult(i(X1),X2) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_55]).
% 0.87/1.24 cnf('0.59.0.0',plain,
% 0.87/1.24 ( i(op_t(i(X1),X2)) = op_t(X1,i(X2)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.55.2.0','0.26.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.59.1.0',plain,
% 0.87/1.24 ( i(op_t(i(X1),X2)) = op_t(X1,i(X2)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.59.0.0']),
% 0.87/1.24 [weight('<59,55,26,[1,0,0,1]>')]).
% 0.87/1.24 cnf('0.59.2.0',plain,
% 0.87/1.24 ( i(op_t(i(X1),X2)) = op_t(X1,i(X2)) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_56]).
% 0.87/1.24 cnf('0.74.0.0',plain,
% 0.87/1.24 ( unit = mult(rd(X1,X2),rd(X2,X1)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.8.2.0','0.48.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.74.1.0',plain,
% 0.87/1.24 ( unit = mult(rd(X1,X2),rd(X2,X1)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.74.0.0']),
% 0.87/1.24 [weight('<71,48,8,[0,0,0,2]>')]).
% 0.87/1.24 cnf('0.74.2.0',plain,
% 0.87/1.24 ( mult(rd(X1,X2),rd(X2,X1)) = unit ),
% 0.87/1.24 inference(orient,[status(thm)],['0.74.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_71]).
% 0.87/1.24 cnf('0.81.0.0',plain,
% 0.87/1.24 ( mult(X1,i(mult(X2,X1))) = i(op_t(X2,X1)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.57.2.0','0.11.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.81.1.0',plain,
% 0.87/1.24 ( mult(X1,i(mult(X2,X1))) = i(op_t(X2,X1)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.81.0.0']),
% 0.87/1.24 [weight('<76,57,11,[1,0,0,1]>')]).
% 0.87/1.24 cnf('0.81.2.0',plain,
% 0.87/1.24 ( mult(X1,i(mult(X2,X1))) = i(op_t(X2,X1)) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.81.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_78]).
% 0.87/1.24 cnf('0.113.0.0',plain,
% 0.87/1.24 ( op_k(X1,X2) = mult(i(mult(X2,X1)),mult(X1,X2)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.2.2.0','0.6.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.113.1.0',plain,
% 0.87/1.24 ( op_k(X1,X2) = mult(i(mult(X2,X1)),mult(X1,X2)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.113.0.0']),
% 0.87/1.24 [weight('<?,6,2,[0,0,0,3]>')]).
% 0.87/1.24 cnf('0.113.2.0',plain,
% 0.87/1.24 ( mult(i(mult(X1,X2)),mult(X2,X1)) = op_k(X2,X1) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.113.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_108]).
% 0.87/1.24 cnf('0.120.0.0',plain,
% 0.87/1.24 ( op_k(i(X1),i(X2)) = mult(i(mult(i(X2),i(X1))),i(mult(X1,X2))) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.113.2.0','0.12.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.120.0.1',plain,
% 0.87/1.24 ( op_k(i(X1),i(X2)) = i(mult(mult(i(X2),i(X1)),mult(X1,X2))) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.120.0.0','0.12.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.120.0.2',plain,
% 0.87/1.24 ( op_k(i(X1),i(X2)) = i(mult(i(mult(X2,X1)),mult(X1,X2))) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.120.0.1','0.12.2.0',theory(equality)]),
% 0.87/1.24 [pos('R.1.1','L')]).
% 0.87/1.24 cnf('0.120.0.3',plain,
% 0.87/1.24 ( op_k(i(X1),i(X2)) = i(op_k(X1,X2)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.120.0.2','0.113.2.0',theory(equality)]),
% 0.87/1.24 [pos('R.1','L')]).
% 0.87/1.24 cnf('0.120.1.0',plain,
% 0.87/1.24 ( op_k(i(X1),i(X2)) = i(op_k(X1,X2)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.120.0.3']),
% 0.87/1.24 [weight('<59,113,12,[1,0,0,5]>')]).
% 0.87/1.24 cnf('0.120.2.0',plain,
% 0.87/1.24 ( op_k(i(X1),i(X2)) = i(op_k(X1,X2)) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.120.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_115]).
% 0.87/1.24 cnf('0.121.0.0',plain,
% 0.87/1.24 ( i(op_k(i(X1),X2)) = op_k(X1,i(X2)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.120.2.0','0.26.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.121.1.0',plain,
% 0.87/1.24 ( i(op_k(i(X1),X2)) = op_k(X1,i(X2)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.121.0.0']),
% 0.87/1.24 [weight('<59,120,26,[1,0,0,1]>')]).
% 0.87/1.24 cnf('0.121.2.0',plain,
% 0.87/1.24 ( i(op_k(i(X1),X2)) = op_k(X1,i(X2)) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.121.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_116]).
% 0.87/1.24 cnf('0.256.0.0',plain,
% 0.87/1.24 ( unit = mult(op_k(i(X1),X2),op_k(X1,i(X2))) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.8.2.0','0.121.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.256.1.0',plain,
% 0.87/1.24 ( unit = mult(op_k(i(X1),X2),op_k(X1,i(X2))) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.256.0.0']),
% 0.87/1.24 [weight('<109,121,8,[0,0,0,2]>')]).
% 0.87/1.24 cnf('0.256.2.0',plain,
% 0.87/1.24 ( mult(op_k(i(X1),X2),op_k(X1,i(X2))) = unit ),
% 0.87/1.24 inference(orient,[status(thm)],['0.256.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_251]).
% 0.87/1.24 cnf('0.289.0.0',plain,
% 0.87/1.24 ( mult(mult(X1,i(X2)),X2) = mult(mult(X1,unit),asoc(X1,i(X2),X2)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.9.2.0','0.10.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1.2','L')]).
% 0.87/1.24 cnf('0.289.0.1',plain,
% 0.87/1.24 ( mult(mult(X1,i(X2)),X2) = mult(X1,asoc(X1,i(X2),X2)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.289.0.0','0.1.2.0',theory(equality)]),
% 0.87/1.24 [pos('R.1','L')]).
% 0.87/1.24 cnf('0.289.1.0',plain,
% 0.87/1.24 ( mult(mult(X1,i(X2)),X2) = mult(X1,asoc(X1,i(X2),X2)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.289.0.1']),
% 0.87/1.24 [weight('<111,10,9,[0,0,0,3]>')]).
% 0.87/1.24 cnf('0.289.2.0',plain,
% 0.87/1.24 ( mult(X1,asoc(X1,i(X2),X2)) = mult(mult(X1,i(X2)),X2) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.289.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_284]).
% 0.87/1.24 cnf('0.518.0.0',plain,
% 0.87/1.24 ( mult(mult(X1,X2),X3) = mult(op_r(X1,X2,X3),mult(X2,X3)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.4.2.0','0.17.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.518.1.0',plain,
% 0.87/1.24 ( mult(mult(X1,X2),X3) = mult(op_r(X1,X2,X3),mult(X2,X3)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.518.0.0']),
% 0.87/1.24 [weight('<125,17,4,[0,0,0,1]>')]).
% 0.87/1.24 cnf('0.518.2.0',plain,
% 0.87/1.24 ( mult(op_r(X1,X2,X3),mult(X2,X3)) = mult(mult(X1,X2),X3) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.518.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_510]).
% 0.87/1.24 cnf('0.526.0.0',plain,
% 0.87/1.24 ( mult(mult(X1,i(X2)),X2) = mult(op_r(X1,i(X2),X2),unit) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.518.2.0','0.10.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.526.0.1',plain,
% 0.87/1.24 ( mult(mult(X1,i(X2)),X2) = op_r(X1,i(X2),X2) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.526.0.0','0.1.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.526.1.0',plain,
% 0.87/1.24 ( mult(mult(X1,i(X2)),X2) = op_r(X1,i(X2),X2) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.526.0.1']),
% 0.87/1.24 [weight('<83,518,10,[1,0,0,5]>')]).
% 0.87/1.24 cnf('0.526.2.0',plain,
% 0.87/1.24 ( mult(mult(X1,i(X2)),X2) = op_r(X1,i(X2),X2) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.526.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_518]).
% 0.87/1.24 cnf('0.545.0.0',plain,
% 0.87/1.24 ( mult(X1,i(X2)) = rd(op_r(X1,i(X2),X2),X2) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.5.2.0','0.526.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.545.1.0',plain,
% 0.87/1.24 ( mult(X1,i(X2)) = rd(op_r(X1,i(X2),X2),X2) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.545.0.0']),
% 0.87/1.24 [weight('<95,526,5,[0,0,0,1]>')]).
% 0.87/1.24 cnf('0.545.2.0',plain,
% 0.87/1.24 ( rd(op_r(X1,i(X2),X2),X2) = mult(X1,i(X2)) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.545.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_537]).
% 0.87/1.24 cnf('0.561.0.0',plain,
% 0.87/1.24 ( i(mult(X1,i(X2))) = rd(X2,op_r(X1,i(X2),X2)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.47.2.0','0.526.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.561.0.1',plain,
% 0.87/1.24 ( mult(i(X1),X2) = rd(X2,op_r(X1,i(X2),X2)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.561.0.0','0.58.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.561.1.0',plain,
% 0.87/1.24 ( mult(i(X1),X2) = rd(X2,op_r(X1,i(X2),X2)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.561.0.1']),
% 0.87/1.24 [weight('<95,526,47,[0,0,0,2]>')]).
% 0.87/1.24 cnf('0.561.2.0',plain,
% 0.87/1.24 ( rd(X1,op_r(X2,i(X1),X1)) = mult(i(X2),X1) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.561.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_553]).
% 0.87/1.24 cnf('0.566.0.0',plain,
% 0.87/1.24 ( mult(X1,asoc(X1,i(X2),X2)) = mult(mult(X1,i(X2)),X2) ),
% 0.87/1.24 inference(interreduction_right,[status(thm)],['0.289.2.0'])).
% 0.87/1.24 cnf('0.566.0.1',plain,
% 0.87/1.24 ( mult(X1,asoc(X1,i(X2),X2)) = op_r(X1,i(X2),X2) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.566.0.0','0.526.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.566.1.0',plain,
% 0.87/1.24 ( mult(X1,asoc(X1,i(X2),X2)) = op_r(X1,i(X2),X2) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.566.0.1']),
% 0.87/1.24 [weight('<103,289,526,[0,0,0,0]>')]).
% 0.87/1.24 cnf('0.566.2.0',plain,
% 0.87/1.24 ( mult(X1,asoc(X1,i(X2),X2)) = op_r(X1,i(X2),X2) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.566.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_558]).
% 0.87/1.24 cnf('0.613.0.0',plain,
% 0.87/1.24 ( op_r(asoc(X1,X2,X3),i(X4),X4) = mult(asoc(X1,X2,X3),unit) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.566.2.0','0.22.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.613.0.1',plain,
% 0.87/1.24 ( op_r(asoc(X1,X2,X3),i(X4),X4) = asoc(X1,X2,X3) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.613.0.0','0.1.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.613.1.0',plain,
% 0.87/1.24 ( op_r(asoc(X1,X2,X3),i(X4),X4) = asoc(X1,X2,X3) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.613.0.1']),
% 0.87/1.24 [weight('<116,566,22,[1,0,0,2]>')]).
% 0.87/1.24 cnf('0.613.2.0',plain,
% 0.87/1.24 ( op_r(asoc(X1,X2,X3),i(X4),X4) = asoc(X1,X2,X3) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.613.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_605]).
% 0.87/1.24 cnf('0.614.0.0',plain,
% 0.87/1.24 ( mult(asoc(X1,X2,X3),i(X4)) = rd(asoc(X1,X2,X3),X4) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.545.2.0','0.613.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.614.1.0',plain,
% 0.87/1.24 ( mult(asoc(X1,X2,X3),i(X4)) = rd(asoc(X1,X2,X3),X4) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.614.0.0']),
% 0.87/1.24 [weight('<111,613,545,[0,0,0,1]>')]).
% 0.87/1.24 cnf('0.614.2.0',plain,
% 0.87/1.24 ( mult(asoc(X1,X2,X3),i(X4)) = rd(asoc(X1,X2,X3),X4) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.614.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_606]).
% 0.87/1.24 cnf('0.615.0.0',plain,
% 0.87/1.24 ( rd(asoc(X1,X2,X3),mult(X4,asoc(X1,X2,X3))) = i(op_t(X4,asoc(X1,X2,X3))) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.614.2.0','0.81.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.615.0.1',plain,
% 0.87/1.24 ( i(X4) = i(op_t(X4,asoc(X1,X2,X3))) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.615.0.0','0.47.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.615.1.0',plain,
% 0.87/1.24 ( i(X4) = i(op_t(X4,asoc(X1,X2,X3))) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.615.0.1']),
% 0.87/1.24 [weight('<79,614,81,[1,0,0,0]>')]).
% 0.87/1.24 cnf('0.615.2.0',plain,
% 0.87/1.24 ( i(op_t(X1,asoc(X2,X3,X4))) = i(X1) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.615.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_607]).
% 0.87/1.24 cnf('0.616.0.0',plain,
% 0.87/1.24 ( op_t(X1,asoc(X2,X3,X4)) = i(i(X1)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.26.2.0','0.615.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.616.0.1',plain,
% 0.87/1.24 ( op_t(X1,asoc(X2,X3,X4)) = X1 ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.616.0.0','0.26.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.616.1.0',plain,
% 0.87/1.24 ( op_t(X1,asoc(X2,X3,X4)) = X1 ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.616.0.1']),
% 0.87/1.24 [weight('<55,615,26,[0,0,0,1]>')]).
% 0.87/1.24 cnf('0.616.2.0',plain,
% 0.87/1.24 ( op_t(X1,asoc(X2,X3,X4)) = X1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.616.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_608]).
% 0.87/1.24 cnf('0.617.0.0',plain,
% 0.87/1.24 ( op_t(X1,i(asoc(X2,X3,X4))) = i(i(X1)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.59.2.0','0.616.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.617.0.1',plain,
% 0.87/1.24 ( op_t(X1,i(asoc(X2,X3,X4))) = X1 ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.617.0.0','0.26.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.617.1.0',plain,
% 0.87/1.24 ( op_t(X1,i(asoc(X2,X3,X4))) = X1 ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.617.0.1']),
% 0.87/1.24 [weight('<71,616,59,[0,0,0,1]>')]).
% 0.87/1.24 cnf('0.617.2.0',plain,
% 0.87/1.24 ( op_t(X1,i(asoc(X2,X3,X4))) = X1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.617.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_609]).
% 0.87/1.24 cnf('0.658.0.0',plain,
% 0.87/1.24 ( mult(i(asoc(X1,X2,X3)),X4) = rd(X4,asoc(X1,X2,X3)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.561.2.0','0.613.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.658.1.0',plain,
% 0.87/1.24 ( mult(i(asoc(X1,X2,X3)),X4) = rd(X4,asoc(X1,X2,X3)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.658.0.0']),
% 0.87/1.24 [weight('<111,613,561,[0,0,0,2]>')]).
% 0.87/1.24 cnf('0.658.2.0',plain,
% 0.87/1.24 ( mult(i(asoc(X1,X2,X3)),X4) = rd(X4,asoc(X1,X2,X3)) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.658.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_650]).
% 0.87/1.24 cnf('0.670.0.0',plain,
% 0.87/1.24 ( rd(op_t(X1,i(asoc(X2,X3,X4))),asoc(X2,X3,X4)) = mult(X1,i(asoc(X2,X3,X4))) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.658.2.0','0.53.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.670.0.1',plain,
% 0.87/1.24 ( rd(X1,asoc(X2,X3,X4)) = mult(X1,i(asoc(X2,X3,X4))) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.670.0.0','0.617.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.670.1.0',plain,
% 0.87/1.24 ( rd(X1,asoc(X2,X3,X4)) = mult(X1,i(asoc(X2,X3,X4))) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.670.0.1']),
% 0.87/1.24 [weight('<111,658,53,[1,0,0,0]>')]).
% 0.87/1.24 cnf('0.670.2.0',plain,
% 0.87/1.24 ( mult(X1,i(asoc(X2,X3,X4))) = rd(X1,asoc(X2,X3,X4)) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.670.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_662]).
% 0.87/1.24 cnf('0.671.0.0',plain,
% 0.87/1.24 ( op_k(i(asoc(X1,X2,X3)),X4) = mult(i(rd(X4,asoc(X1,X2,X3))),mult(i(asoc(X1,X2,X3)),X4)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.113.2.0','0.670.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1.1','L')]).
% 0.87/1.24 cnf('0.671.0.1',plain,
% 0.87/1.24 ( op_k(i(asoc(X1,X2,X3)),X4) = mult(rd(asoc(X1,X2,X3),X4),mult(i(asoc(X1,X2,X3)),X4)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.671.0.0','0.48.2.0',theory(equality)]),
% 0.87/1.24 [pos('R.1','L')]).
% 0.87/1.24 cnf('0.671.0.2',plain,
% 0.87/1.24 ( op_k(i(asoc(X1,X2,X3)),X4) = mult(rd(asoc(X1,X2,X3),X4),rd(X4,asoc(X1,X2,X3))) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.671.0.1','0.658.2.0',theory(equality)]),
% 0.87/1.24 [pos('R.2','L')]).
% 0.87/1.24 cnf('0.671.0.3',plain,
% 0.87/1.24 ( op_k(i(asoc(X1,X2,X3)),X4) = unit ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.671.0.2','0.74.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.671.1.0',plain,
% 0.87/1.24 ( op_k(i(asoc(X1,X2,X3)),X4) = unit ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.671.0.3']),
% 0.87/1.24 [weight('<71,670,113,[0,0,0,2]>')]).
% 0.87/1.24 cnf('0.671.2.0',plain,
% 0.87/1.24 ( op_k(i(asoc(X1,X2,X3)),X4) = unit ),
% 0.87/1.24 inference(orient,[status(thm)],['0.671.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_663]).
% 0.87/1.24 cnf('0.672.0.0',plain,
% 0.87/1.24 ( unit = mult(op_k(i(i(asoc(X1,X2,X3))),X4),unit) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.256.2.0','0.671.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.672.0.1',plain,
% 0.87/1.24 ( unit = op_k(i(i(asoc(X1,X2,X3))),X4) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.672.0.0','0.1.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.672.0.2',plain,
% 0.87/1.24 ( unit = op_k(asoc(X1,X2,X3),X4) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.672.0.1','0.26.2.0',theory(equality)]),
% 0.87/1.24 [pos('R.1','L')]).
% 0.87/1.24 cnf('0.672.1.0',plain,
% 0.87/1.24 ( unit = op_k(asoc(X1,X2,X3),X4) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.672.0.2']),
% 0.87/1.24 [weight('<55,671,256,[0,0,0,5]>')]).
% 0.87/1.24 cnf('0.672.2.0',plain,
% 0.87/1.24 ( op_k(asoc(X1,X2,X3),X4) = unit ),
% 0.87/1.24 inference(orient,[status(thm)],['0.672.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_664]).
% 0.87/1.24 cnf('1.0.0.0',conjecture,
% 0.87/1.24 ( unit = op_k(asoc(a,b,c),d) ),
% 0.87/1.24 file('/tmp/WALDMEISTER_24601_n012',conjecture_1)).
% 0.87/1.24 cnf('1.0.0.1',plain,
% 0.87/1.24 ( unit = unit ),
% 0.87/1.24 inference(reduction,[status(thm)],['1.0.0.0','0.672.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('1.0.0.2',plain,
% 0.87/1.24 ( $true ),
% 0.87/1.24 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.87/1.24 [conjecture_1]).
% 0.87/1.24
% 0.87/1.24 Proved Goals:
% 0.87/1.24 No. 1: unit ?= op_k(asoc(a,b,c),d) joined, current: unit = unit
% 0.87/1.24 1 goal was specified, which was proved.
% 0.87/1.24 % SZS output end CNFRefutation
% 0.87/1.24 #END OF PROOF
% 0.87/1.24
% 0.87/1.24 Problem WALDMEISTER_24601_n012
% 0.87/1.24 CPs.gen 86700
% 0.87/1.24 CPs.reexp 0
% 0.87/1.24 Select 2846
% 0.87/1.24 R 664
% 0.87/1.24 E 8
% 0.87/1.24 vsize 6.8M
% 0.87/1.24 rss 4.2M
% 0.87/1.24 process.time 0.268s
% 0.87/1.24 wallclock.time 0.268s
% 0.87/1.24 status S
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 Waldmeister states: Goal proved.
% 0.87/1.24 % SZS status Unsatisfiable
%------------------------------------------------------------------------------