TSTP Solution File: LDA002-1 by Waldmeister---710
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LDA002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n029.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 : Sun Jul 17 16:46:45 EDT 2022
% Result : Unsatisfiable 0.56s 0.99s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LDA002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon May 30 03:07:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.56/0.96 ********************************************************************************
% 0.56/0.96 * W A L D M E I S T E R \| \ / \|/ *
% 0.56/0.96 * |/ | \/ | *
% 0.56/0.96 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.56/0.96 * A. Jaeger and B. Loechner | | *
% 0.56/0.96 * <waldmeister@informatik.uni-kl.de> | *
% 0.56/0.96 ********************************************************************************
% 0.56/0.96
% 0.56/0.96
% 0.56/0.96 Goals:
% 0.56/0.96 ------
% 0.56/0.96
% 0.56/0.96 ( 1) f(b,v) ?=? f(a,v)
% 0.56/0.96
% 0.56/0.96 Detected structure: LDAlgebra
% 0.56/0.96 ********************************************************************************
% 0.56/0.96 ****************************** COMPLETION - PROOF ******************************
% 0.56/0.96 ********************************************************************************
% 0.56/0.96
% 0.56/0.99 joined goal: 1 f(b,v) ?= f(a,v) to f(v,v)
% 0.56/0.99 goal joined
% 0.56/0.99 % SZS status Unsatisfiable
% 0.56/0.99 #START OF PROOF
% 0.56/0.99 % SZS output start CNFRefutation
% 0.56/0.99 cnf('0.1.0.0',axiom,
% 0.56/0.99 ( f(X1,f(X2,X3)) = f(f(X1,X2),f(X1,X3)) ),
% 0.56/0.99 file('/tmp/WALDMEISTER_28358_n029')).
% 0.56/0.99 cnf('0.1.1.0',plain,
% 0.56/0.99 ( f(X1,f(X2,X3)) = f(f(X1,X2),f(X1,X3)) ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.56/0.99 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.56/0.99 cnf('0.1.2.0',plain,
% 0.56/0.99 ( f(f(X1,X2),f(X1,X3)) = f(X1,f(X2,X3)) ),
% 0.56/0.99 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.56/0.99 [x,rule_1]).
% 0.56/0.99 cnf('0.2.0.0',axiom,
% 0.56/0.99 ( f(f(n3,n2),u2) = a ),
% 0.56/0.99 file('/tmp/WALDMEISTER_28358_n029')).
% 0.56/0.99 cnf('0.2.1.0',plain,
% 0.56/0.99 ( f(f(n3,n2),u2) = a ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.56/0.99 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.56/0.99 cnf('0.2.2.0',plain,
% 0.56/0.99 ( f(f(n3,n2),u2) = a ),
% 0.56/0.99 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.56/0.99 [u,rule_2]).
% 0.56/0.99 cnf('0.3.0.0',axiom,
% 0.56/0.99 ( f(u,u) = uu ),
% 0.56/0.99 file('/tmp/WALDMEISTER_28358_n029')).
% 0.56/0.99 cnf('0.3.1.0',plain,
% 0.56/0.99 ( f(u,u) = uu ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.56/0.99 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.56/0.99 cnf('0.3.2.0',plain,
% 0.56/0.99 ( f(u,u) = uu ),
% 0.56/0.99 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.56/0.99 [u,rule_3]).
% 0.56/0.99 cnf('0.4.0.0',axiom,
% 0.56/0.99 ( f(u,n2) = u2 ),
% 0.56/0.99 file('/tmp/WALDMEISTER_28358_n029')).
% 0.56/0.99 cnf('0.4.1.0',plain,
% 0.56/0.99 ( f(u,n2) = u2 ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.56/0.99 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.56/0.99 cnf('0.4.2.0',plain,
% 0.56/0.99 ( f(u,n2) = u2 ),
% 0.56/0.99 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.56/0.99 [u,rule_4]).
% 0.56/0.99 cnf('0.5.0.0',axiom,
% 0.56/0.99 ( f(u,n1) = u1 ),
% 0.56/0.99 file('/tmp/WALDMEISTER_28358_n029')).
% 0.56/0.99 cnf('0.5.1.0',plain,
% 0.56/0.99 ( f(u,n1) = u1 ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.56/0.99 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.56/0.99 cnf('0.5.2.0',plain,
% 0.56/0.99 ( f(u,n1) = u1 ),
% 0.56/0.99 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.56/0.99 [u,rule_5]).
% 0.56/0.99 cnf('0.6.0.0',axiom,
% 0.56/0.99 ( f(u,n3) = u3 ),
% 0.56/0.99 file('/tmp/WALDMEISTER_28358_n029')).
% 0.56/0.99 cnf('0.6.1.0',plain,
% 0.56/0.99 ( f(u,n3) = u3 ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.56/0.99 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.56/0.99 cnf('0.6.2.0',plain,
% 0.56/0.99 ( f(u,n3) = u3 ),
% 0.56/0.99 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.56/0.99 [u,rule_6]).
% 0.56/0.99 cnf('0.7.0.0',axiom,
% 0.56/0.99 ( f(n2,n2) = u ),
% 0.56/0.99 file('/tmp/WALDMEISTER_28358_n029')).
% 0.56/0.99 cnf('0.7.1.0',plain,
% 0.56/0.99 ( f(n2,n2) = u ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.56/0.99 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.56/0.99 cnf('0.7.2.0',plain,
% 0.56/0.99 ( f(n2,n2) = u ),
% 0.56/0.99 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.56/0.99 [u,rule_7]).
% 0.56/0.99 cnf('0.8.0.0',axiom,
% 0.56/0.99 ( f(n2,n1) = n3 ),
% 0.56/0.99 file('/tmp/WALDMEISTER_28358_n029')).
% 0.56/0.99 cnf('0.8.1.0',plain,
% 0.56/0.99 ( f(n2,n1) = n3 ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.56/0.99 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.56/0.99 cnf('0.8.2.0',plain,
% 0.56/0.99 ( f(n2,n1) = n3 ),
% 0.56/0.99 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.56/0.99 [u,rule_8]).
% 0.56/0.99 cnf('0.9.0.0',axiom,
% 0.56/0.99 ( f(n1,n1) = n2 ),
% 0.56/0.99 file('/tmp/WALDMEISTER_28358_n029')).
% 0.56/0.99 cnf('0.9.1.0',plain,
% 0.56/0.99 ( f(n1,n1) = n2 ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.56/0.99 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.56/0.99 cnf('0.9.2.0',plain,
% 0.56/0.99 ( f(n1,n1) = n2 ),
% 0.56/0.99 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.56/0.99 [u,rule_9]).
% 0.56/0.99 cnf('0.10.0.0',axiom,
% 0.56/0.99 ( f(uu,uu) = v ),
% 0.56/0.99 file('/tmp/WALDMEISTER_28358_n029')).
% 0.56/0.99 cnf('0.10.1.0',plain,
% 0.56/0.99 ( f(uu,uu) = v ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.56/0.99 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.56/0.99 cnf('0.10.2.0',plain,
% 0.56/0.99 ( f(uu,uu) = v ),
% 0.56/0.99 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.56/0.99 [u,rule_10]).
% 0.56/0.99 cnf('0.11.0.0',axiom,
% 0.56/0.99 ( f(u1,u3) = b ),
% 0.56/0.99 file('/tmp/WALDMEISTER_28358_n029')).
% 0.56/0.99 cnf('0.11.1.0',plain,
% 0.56/0.99 ( f(u1,u3) = b ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.56/0.99 [weight('<10,0,0,[0,0,0,11]>')]).
% 0.56/0.99 cnf('0.11.2.0',plain,
% 0.56/0.99 ( f(u1,u3) = b ),
% 0.56/0.99 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.56/0.99 [u,rule_11]).
% 0.56/0.99 cnf('0.12.0.0',plain,
% 0.56/0.99 ( f(u,f(u,X1)) = f(uu,f(u,X1)) ),
% 0.56/0.99 inference(cp,[status(thm)],['0.1.2.0','0.3.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.1','L')]).
% 0.56/0.99 cnf('0.12.1.0',plain,
% 0.56/0.99 ( f(u,f(u,X1)) = f(uu,f(u,X1)) ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.56/0.99 [weight('<65,3,1,[0,0,0,1]>')]).
% 0.56/0.99 cnf('0.12.2.0',plain,
% 0.56/0.99 ( f(u,f(u,X1)) = f(uu,f(u,X1)) ),
% 0.56/0.99 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.56/0.99 [u,rule_12]).
% 0.56/0.99 cnf('0.13.0.0',plain,
% 0.56/0.99 ( f(uu,f(u,u)) = f(u,uu) ),
% 0.56/0.99 inference(cp,[status(thm)],['0.12.2.0','0.3.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.13.0.1',plain,
% 0.56/0.99 ( f(uu,uu) = f(u,uu) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.13.0.0','0.3.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.13.0.2',plain,
% 0.56/0.99 ( v = f(u,uu) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.13.0.1','0.10.2.0',theory(equality)]),
% 0.56/0.99 [pos('L','L')]).
% 0.56/0.99 cnf('0.13.1.0',plain,
% 0.56/0.99 ( v = f(u,uu) ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.13.0.2']),
% 0.56/0.99 [weight('<19,12,3,[1,0,0,2]>')]).
% 0.56/0.99 cnf('0.13.2.0',plain,
% 0.56/0.99 ( f(u,uu) = v ),
% 0.56/0.99 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.56/0.99 [x,rule_13]).
% 0.56/0.99 cnf('0.14.0.0',plain,
% 0.56/0.99 ( f(uu,f(u,n2)) = f(u,u2) ),
% 0.56/0.99 inference(cp,[status(thm)],['0.12.2.0','0.4.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.14.0.1',plain,
% 0.56/0.99 ( f(uu,u2) = f(u,u2) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.14.0.0','0.4.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.14.1.0',plain,
% 0.56/0.99 ( f(uu,u2) = f(u,u2) ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.14.0.1']),
% 0.56/0.99 [weight('<27,12,4,[1,0,0,2]>')]).
% 0.56/0.99 cnf('0.14.2.0',plain,
% 0.56/0.99 ( f(u,u2) = f(uu,u2) ),
% 0.56/0.99 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.56/0.99 [x,rule_14]).
% 0.56/0.99 cnf('0.17.0.0',plain,
% 0.56/0.99 ( f(uu,f(u,uu)) = f(u,v) ),
% 0.56/0.99 inference(cp,[status(thm)],['0.12.2.0','0.13.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.17.0.1',plain,
% 0.56/0.99 ( f(uu,v) = f(u,v) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.17.0.0','0.13.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.17.1.0',plain,
% 0.56/0.99 ( f(uu,v) = f(u,v) ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.17.0.1']),
% 0.56/0.99 [weight('<27,13,12,[0,0,0,2]>')]).
% 0.56/0.99 cnf('0.17.2.0',plain,
% 0.56/0.99 ( f(u,v) = f(uu,v) ),
% 0.56/0.99 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.56/0.99 [x,rule_17]).
% 0.56/0.99 cnf('0.23.0.0',plain,
% 0.56/0.99 ( f(u,f(n2,X1)) = f(u2,f(u,X1)) ),
% 0.56/0.99 inference(cp,[status(thm)],['0.1.2.0','0.4.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.1','L')]).
% 0.56/0.99 cnf('0.23.1.0',plain,
% 0.56/0.99 ( f(u,f(n2,X1)) = f(u2,f(u,X1)) ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.56/0.99 [weight('<65,4,1,[0,0,0,1]>')]).
% 0.56/0.99 cnf('0.23.2.0',plain,
% 0.56/0.99 ( f(u,f(n2,X1)) = f(u2,f(u,X1)) ),
% 0.56/0.99 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.56/0.99 [u,rule_23]).
% 0.56/0.99 cnf('0.24.0.0',plain,
% 0.56/0.99 ( f(u2,f(u,n2)) = f(u,u) ),
% 0.56/0.99 inference(cp,[status(thm)],['0.23.2.0','0.7.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.24.0.1',plain,
% 0.56/0.99 ( f(u2,u2) = f(u,u) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.24.0.0','0.4.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.24.0.2',plain,
% 0.56/0.99 ( f(u2,u2) = uu ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.24.0.1','0.3.2.0',theory(equality)]),
% 0.56/0.99 [pos('R','L')]).
% 0.56/0.99 cnf('0.24.1.0',plain,
% 0.56/0.99 ( f(u2,u2) = uu ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.24.0.2']),
% 0.56/0.99 [weight('<19,23,7,[1,0,0,2]>')]).
% 0.56/0.99 cnf('0.24.2.0',plain,
% 0.56/0.99 ( f(u2,u2) = uu ),
% 0.56/0.99 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.56/0.99 [u,rule_24]).
% 0.56/0.99 cnf('0.30.0.0',plain,
% 0.56/0.99 ( f(u,f(n1,X1)) = f(u1,f(u,X1)) ),
% 0.56/0.99 inference(cp,[status(thm)],['0.1.2.0','0.5.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.1','L')]).
% 0.56/0.99 cnf('0.30.1.0',plain,
% 0.56/0.99 ( f(u,f(n1,X1)) = f(u1,f(u,X1)) ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.56/0.99 [weight('<65,5,1,[0,0,0,1]>')]).
% 0.56/0.99 cnf('0.30.2.0',plain,
% 0.56/0.99 ( f(u,f(n1,X1)) = f(u1,f(u,X1)) ),
% 0.56/0.99 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.56/0.99 [u,rule_30]).
% 0.56/0.99 cnf('0.38.0.0',plain,
% 0.56/0.99 ( f(n2,f(n2,X1)) = f(u,f(n2,X1)) ),
% 0.56/0.99 inference(cp,[status(thm)],['0.1.2.0','0.7.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.1','L')]).
% 0.56/0.99 cnf('0.38.1.0',plain,
% 0.56/0.99 ( f(n2,f(n2,X1)) = f(u,f(n2,X1)) ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.38.0.0']),
% 0.56/0.99 [weight('<65,7,1,[0,0,0,1]>')]).
% 0.56/0.99 cnf('0.38.1.1',plain,
% 0.56/0.99 ( f(n2,f(n2,X1)) = f(u2,f(u,X1)) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.38.1.0','0.23.2.0',theory(equality)]),
% 0.56/0.99 [pos('R','L')]).
% 0.56/0.99 cnf('0.38.2.0',plain,
% 0.56/0.99 ( f(n2,f(n2,X1)) = f(u2,f(u,X1)) ),
% 0.56/0.99 inference(orient,[status(thm)],['0.38.1.1',theory(equality)]),
% 0.56/0.99 [u,rule_38]).
% 0.56/0.99 cnf('0.39.0.0',plain,
% 0.56/0.99 ( f(u2,f(u,n2)) = f(n2,u) ),
% 0.56/0.99 inference(cp,[status(thm)],['0.38.2.0','0.7.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.39.0.1',plain,
% 0.56/0.99 ( f(u2,u2) = f(n2,u) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.39.0.0','0.4.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.39.0.2',plain,
% 0.56/0.99 ( uu = f(n2,u) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.39.0.1','0.24.2.0',theory(equality)]),
% 0.56/0.99 [pos('L','L')]).
% 0.56/0.99 cnf('0.39.1.0',plain,
% 0.56/0.99 ( uu = f(n2,u) ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.39.0.2']),
% 0.56/0.99 [weight('<19,38,7,[1,0,0,2]>')]).
% 0.56/0.99 cnf('0.39.2.0',plain,
% 0.56/0.99 ( f(n2,u) = uu ),
% 0.56/0.99 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 0.56/0.99 [x,rule_39]).
% 0.56/0.99 cnf('0.41.0.0',plain,
% 0.56/0.99 ( f(u2,f(u,u)) = f(u,uu) ),
% 0.56/0.99 inference(cp,[status(thm)],['0.23.2.0','0.39.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.41.0.1',plain,
% 0.56/0.99 ( f(u2,uu) = f(u,uu) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.41.0.0','0.3.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.41.0.2',plain,
% 0.56/0.99 ( f(u2,uu) = v ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.41.0.1','0.13.2.0',theory(equality)]),
% 0.56/0.99 [pos('R','L')]).
% 0.56/0.99 cnf('0.41.1.0',plain,
% 0.56/0.99 ( f(u2,uu) = v ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.41.0.2']),
% 0.56/0.99 [weight('<19,39,23,[0,0,0,2]>')]).
% 0.56/0.99 cnf('0.41.2.0',plain,
% 0.56/0.99 ( f(u2,uu) = v ),
% 0.56/0.99 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 0.56/0.99 [u,rule_41]).
% 0.56/0.99 cnf('0.42.0.0',plain,
% 0.56/0.99 ( f(u2,f(u,u)) = f(n2,uu) ),
% 0.56/0.99 inference(cp,[status(thm)],['0.38.2.0','0.39.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.42.0.1',plain,
% 0.56/0.99 ( f(u2,uu) = f(n2,uu) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.42.0.0','0.3.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.42.1.0',plain,
% 0.56/0.99 ( f(u2,uu) = f(n2,uu) ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.42.0.1']),
% 0.56/0.99 [weight('<27,39,38,[0,0,0,2]>')]).
% 0.56/0.99 cnf('0.42.1.1',plain,
% 0.56/0.99 ( v = f(n2,uu) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.42.1.0','0.41.2.0',theory(equality)]),
% 0.56/0.99 [pos('L','L')]).
% 0.56/0.99 cnf('0.42.2.0',plain,
% 0.56/0.99 ( f(n2,uu) = v ),
% 0.56/0.99 inference(orient,[status(thm)],['0.42.1.1',theory(equality)]),
% 0.56/0.99 [x,rule_42]).
% 0.56/0.99 cnf('0.46.0.0',plain,
% 0.56/0.99 ( f(u2,f(u,uu)) = f(u,v) ),
% 0.56/0.99 inference(cp,[status(thm)],['0.23.2.0','0.42.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.46.0.1',plain,
% 0.56/0.99 ( f(u2,v) = f(u,v) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.46.0.0','0.13.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.46.0.2',plain,
% 0.56/0.99 ( f(u2,v) = f(uu,v) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.46.0.1','0.17.2.0',theory(equality)]),
% 0.56/0.99 [pos('R','L')]).
% 0.56/0.99 cnf('0.46.1.0',plain,
% 0.56/0.99 ( f(u2,v) = f(uu,v) ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.46.0.2']),
% 0.56/0.99 [weight('<27,42,23,[0,0,0,2]>')]).
% 0.56/0.99 cnf('0.46.2.0',plain,
% 0.56/0.99 ( f(uu,v) = f(u2,v) ),
% 0.56/0.99 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.56/0.99 [x,rule_46]).
% 0.56/0.99 cnf('0.56.0.0',plain,
% 0.56/0.99 ( f(n2,f(n1,X1)) = f(n3,f(n2,X1)) ),
% 0.56/0.99 inference(cp,[status(thm)],['0.1.2.0','0.8.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.1','L')]).
% 0.56/0.99 cnf('0.56.1.0',plain,
% 0.56/0.99 ( f(n2,f(n1,X1)) = f(n3,f(n2,X1)) ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.56.0.0']),
% 0.56/0.99 [weight('<65,8,1,[0,0,0,1]>')]).
% 0.56/0.99 cnf('0.56.2.0',plain,
% 0.56/0.99 ( f(n2,f(n1,X1)) = f(n3,f(n2,X1)) ),
% 0.56/0.99 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 0.56/0.99 [u,rule_56]).
% 0.56/0.99 cnf('0.57.0.0',plain,
% 0.56/0.99 ( f(n3,f(n2,n1)) = f(n2,n2) ),
% 0.56/0.99 inference(cp,[status(thm)],['0.56.2.0','0.9.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.57.0.1',plain,
% 0.56/0.99 ( f(n3,n3) = f(n2,n2) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.57.0.0','0.8.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.57.0.2',plain,
% 0.56/0.99 ( f(n3,n3) = u ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.57.0.1','0.7.2.0',theory(equality)]),
% 0.56/0.99 [pos('R','L')]).
% 0.56/0.99 cnf('0.57.1.0',plain,
% 0.56/0.99 ( f(n3,n3) = u ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.57.0.2']),
% 0.56/0.99 [weight('<19,56,9,[1,0,0,2]>')]).
% 0.56/0.99 cnf('0.57.2.0',plain,
% 0.56/0.99 ( f(n3,n3) = u ),
% 0.56/0.99 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 0.56/0.99 [u,rule_57]).
% 0.56/0.99 cnf('0.65.0.0',plain,
% 0.56/0.99 ( f(n1,f(n1,X1)) = f(n2,f(n1,X1)) ),
% 0.56/0.99 inference(cp,[status(thm)],['0.1.2.0','0.9.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.1','L')]).
% 0.56/0.99 cnf('0.65.1.0',plain,
% 0.56/0.99 ( f(n1,f(n1,X1)) = f(n2,f(n1,X1)) ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.65.0.0']),
% 0.56/0.99 [weight('<65,9,1,[0,0,0,1]>')]).
% 0.56/0.99 cnf('0.65.1.1',plain,
% 0.56/0.99 ( f(n1,f(n1,X1)) = f(n3,f(n2,X1)) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.65.1.0','0.56.2.0',theory(equality)]),
% 0.56/0.99 [pos('R','L')]).
% 0.56/0.99 cnf('0.65.2.0',plain,
% 0.56/0.99 ( f(n1,f(n1,X1)) = f(n3,f(n2,X1)) ),
% 0.56/0.99 inference(orient,[status(thm)],['0.65.1.1',theory(equality)]),
% 0.56/0.99 [u,rule_65]).
% 0.56/0.99 cnf('0.66.0.0',plain,
% 0.56/0.99 ( f(n3,f(n2,n1)) = f(n1,n2) ),
% 0.56/0.99 inference(cp,[status(thm)],['0.65.2.0','0.9.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.66.0.1',plain,
% 0.56/0.99 ( f(n3,n3) = f(n1,n2) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.66.0.0','0.8.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.66.0.2',plain,
% 0.56/0.99 ( u = f(n1,n2) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.66.0.1','0.57.2.0',theory(equality)]),
% 0.56/0.99 [pos('L','L')]).
% 0.56/0.99 cnf('0.66.1.0',plain,
% 0.56/0.99 ( u = f(n1,n2) ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.66.0.2']),
% 0.56/0.99 [weight('<19,65,9,[1,0,0,2]>')]).
% 0.56/0.99 cnf('0.66.2.0',plain,
% 0.56/0.99 ( f(n1,n2) = u ),
% 0.56/0.99 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 0.56/0.99 [x,rule_66]).
% 0.56/0.99 cnf('0.69.0.0',plain,
% 0.56/0.99 ( f(n3,f(n2,n2)) = f(n2,u) ),
% 0.56/0.99 inference(cp,[status(thm)],['0.56.2.0','0.66.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.69.0.1',plain,
% 0.56/0.99 ( f(n3,u) = f(n2,u) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.69.0.0','0.7.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.69.0.2',plain,
% 0.56/0.99 ( f(n3,u) = uu ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.69.0.1','0.39.2.0',theory(equality)]),
% 0.56/0.99 [pos('R','L')]).
% 0.56/0.99 cnf('0.69.1.0',plain,
% 0.56/0.99 ( f(n3,u) = uu ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.69.0.2']),
% 0.56/0.99 [weight('<19,66,56,[0,0,0,2]>')]).
% 0.56/0.99 cnf('0.69.2.0',plain,
% 0.56/0.99 ( f(n3,u) = uu ),
% 0.56/0.99 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 0.56/0.99 [u,rule_69]).
% 0.56/0.99 cnf('0.70.0.0',plain,
% 0.56/0.99 ( f(n3,f(n2,n2)) = f(n1,u) ),
% 0.56/0.99 inference(cp,[status(thm)],['0.65.2.0','0.66.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.70.0.1',plain,
% 0.56/0.99 ( f(n3,u) = f(n1,u) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.70.0.0','0.7.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.70.1.0',plain,
% 0.56/0.99 ( f(n3,u) = f(n1,u) ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.70.0.1']),
% 0.56/0.99 [weight('<27,66,65,[0,0,0,2]>')]).
% 0.56/0.99 cnf('0.70.1.1',plain,
% 0.56/0.99 ( uu = f(n1,u) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.70.1.0','0.69.2.0',theory(equality)]),
% 0.56/0.99 [pos('L','L')]).
% 0.56/0.99 cnf('0.70.2.0',plain,
% 0.56/0.99 ( f(n1,u) = uu ),
% 0.56/0.99 inference(orient,[status(thm)],['0.70.1.1',theory(equality)]),
% 0.56/0.99 [x,rule_70]).
% 0.56/0.99 cnf('0.72.0.0',plain,
% 0.56/0.99 ( f(n3,f(n2,u)) = f(n2,uu) ),
% 0.56/0.99 inference(cp,[status(thm)],['0.56.2.0','0.70.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.72.0.1',plain,
% 0.56/0.99 ( f(n3,uu) = f(n2,uu) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.72.0.0','0.39.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.72.0.2',plain,
% 0.56/0.99 ( f(n3,uu) = v ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.72.0.1','0.42.2.0',theory(equality)]),
% 0.56/0.99 [pos('R','L')]).
% 0.56/0.99 cnf('0.72.1.0',plain,
% 0.56/0.99 ( f(n3,uu) = v ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.72.0.2']),
% 0.56/0.99 [weight('<19,70,56,[0,0,0,2]>')]).
% 0.56/0.99 cnf('0.72.2.0',plain,
% 0.56/0.99 ( f(n3,uu) = v ),
% 0.56/0.99 inference(orient,[status(thm)],['0.72.1.0',theory(equality)]),
% 0.56/0.99 [u,rule_72]).
% 0.56/0.99 cnf('0.78.0.0',plain,
% 0.56/0.99 ( f(n1,f(X1,n1)) = f(f(n1,X1),n2) ),
% 0.56/0.99 inference(cp,[status(thm)],['0.1.2.0','0.9.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.78.1.0',plain,
% 0.56/0.99 ( f(n1,f(X1,n1)) = f(f(n1,X1),n2) ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.78.0.0']),
% 0.56/0.99 [weight('<65,9,1,[0,0,0,4]>')]).
% 0.56/0.99 cnf('0.78.2.0',plain,
% 0.56/0.99 ( f(f(n1,X1),n2) = f(n1,f(X1,n1)) ),
% 0.56/0.99 inference(orient,[status(thm)],['0.78.1.0',theory(equality)]),
% 0.56/0.99 [x,rule_78]).
% 0.56/0.99 cnf('0.79.0.0',plain,
% 0.56/0.99 ( f(n1,f(n2,n1)) = f(u,n2) ),
% 0.56/0.99 inference(cp,[status(thm)],['0.78.2.0','0.66.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.1','L')]).
% 0.56/0.99 cnf('0.79.0.1',plain,
% 0.56/0.99 ( f(n1,n3) = f(u,n2) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.79.0.0','0.8.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.79.0.2',plain,
% 0.56/0.99 ( f(n1,n3) = u2 ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.79.0.1','0.4.2.0',theory(equality)]),
% 0.56/0.99 [pos('R','L')]).
% 0.56/0.99 cnf('0.79.1.0',plain,
% 0.56/0.99 ( f(n1,n3) = u2 ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.79.0.2']),
% 0.56/0.99 [weight('<19,78,66,[1,0,0,1]>')]).
% 0.56/0.99 cnf('0.79.2.0',plain,
% 0.56/0.99 ( f(n1,n3) = u2 ),
% 0.56/0.99 inference(orient,[status(thm)],['0.79.1.0',theory(equality)]),
% 0.56/0.99 [u,rule_79]).
% 0.56/0.99 cnf('0.80.0.0',plain,
% 0.56/0.99 ( f(u1,f(u,n3)) = f(u,u2) ),
% 0.56/0.99 inference(cp,[status(thm)],['0.30.2.0','0.79.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.80.0.1',plain,
% 0.56/0.99 ( f(u1,u3) = f(u,u2) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.80.0.0','0.6.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.80.0.2',plain,
% 0.56/0.99 ( b = f(u,u2) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.80.0.1','0.11.2.0',theory(equality)]),
% 0.56/0.99 [pos('L','L')]).
% 0.56/0.99 cnf('0.80.0.3',plain,
% 0.56/0.99 ( b = f(uu,u2) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.80.0.2','0.14.2.0',theory(equality)]),
% 0.56/0.99 [pos('R','L')]).
% 0.56/0.99 cnf('0.80.1.0',plain,
% 0.56/0.99 ( b = f(uu,u2) ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.80.0.3']),
% 0.56/0.99 [weight('<19,79,30,[0,0,0,2]>')]).
% 0.56/0.99 cnf('0.80.2.0',plain,
% 0.56/0.99 ( f(uu,u2) = b ),
% 0.56/0.99 inference(orient,[status(thm)],['0.80.1.0',theory(equality)]),
% 0.56/0.99 [x,rule_80]).
% 0.56/0.99 cnf('0.99.0.0',plain,
% 0.56/0.99 ( f(uu,f(uu,X1)) = f(v,f(uu,X1)) ),
% 0.56/0.99 inference(cp,[status(thm)],['0.1.2.0','0.10.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.1','L')]).
% 0.56/0.99 cnf('0.99.1.0',plain,
% 0.56/0.99 ( f(uu,f(uu,X1)) = f(v,f(uu,X1)) ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.99.0.0']),
% 0.56/0.99 [weight('<65,10,1,[0,0,0,1]>')]).
% 0.56/0.99 cnf('0.99.2.0',plain,
% 0.56/0.99 ( f(uu,f(uu,X1)) = f(v,f(uu,X1)) ),
% 0.56/0.99 inference(orient,[status(thm)],['0.99.1.0',theory(equality)]),
% 0.56/0.99 [u,rule_99]).
% 0.56/0.99 cnf('0.100.0.0',plain,
% 0.56/0.99 ( f(v,f(uu,uu)) = f(uu,v) ),
% 0.56/0.99 inference(cp,[status(thm)],['0.99.2.0','0.10.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.100.0.1',plain,
% 0.56/0.99 ( f(v,v) = f(uu,v) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.100.0.0','0.10.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.100.0.2',plain,
% 0.56/0.99 ( f(v,v) = f(u2,v) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.100.0.1','0.46.2.0',theory(equality)]),
% 0.56/0.99 [pos('R','L')]).
% 0.56/0.99 cnf('0.100.1.0',plain,
% 0.56/0.99 ( f(v,v) = f(u2,v) ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.100.0.2']),
% 0.56/0.99 [weight('<27,99,10,[1,0,0,2]>')]).
% 0.56/0.99 cnf('0.100.2.0',plain,
% 0.56/0.99 ( f(u2,v) = f(v,v) ),
% 0.56/0.99 inference(orient,[status(thm)],['0.100.1.0',theory(equality)]),
% 0.56/0.99 [x,rule_100]).
% 0.56/0.99 cnf('0.101.0.0',plain,
% 0.56/0.99 ( f(uu,v) = f(u2,v) ),
% 0.56/0.99 inference(interreduction_right,[status(thm)],['0.46.2.0'])).
% 0.56/0.99 cnf('0.101.0.1',plain,
% 0.56/0.99 ( f(uu,v) = f(v,v) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.101.0.0','0.100.2.0',theory(equality)]),
% 0.56/0.99 [pos('R','L')]).
% 0.56/0.99 cnf('0.101.1.0',plain,
% 0.56/0.99 ( f(uu,v) = f(v,v) ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.101.0.1']),
% 0.56/0.99 [weight('<27,46,100,[0,0,0,0]>')]).
% 0.56/0.99 cnf('0.101.2.0',plain,
% 0.56/0.99 ( f(uu,v) = f(v,v) ),
% 0.56/0.99 inference(orient,[status(thm)],['0.101.1.0',theory(equality)]),
% 0.56/0.99 [u,rule_101]).
% 0.56/0.99 cnf('0.111.0.0',plain,
% 0.56/0.99 ( f(uu,f(X1,uu)) = f(f(uu,X1),v) ),
% 0.56/0.99 inference(cp,[status(thm)],['0.1.2.0','0.10.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.111.1.0',plain,
% 0.56/0.99 ( f(uu,f(X1,uu)) = f(f(uu,X1),v) ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.111.0.0']),
% 0.56/0.99 [weight('<65,10,1,[0,0,0,4]>')]).
% 0.56/0.99 cnf('0.111.2.0',plain,
% 0.56/0.99 ( f(f(uu,X1),v) = f(uu,f(X1,uu)) ),
% 0.56/0.99 inference(orient,[status(thm)],['0.111.1.0',theory(equality)]),
% 0.56/0.99 [x,rule_111]).
% 0.56/0.99 cnf('0.112.0.0',plain,
% 0.56/0.99 ( f(uu,f(u2,uu)) = f(b,v) ),
% 0.56/0.99 inference(cp,[status(thm)],['0.111.2.0','0.80.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.1','L')]).
% 0.56/0.99 cnf('0.112.0.1',plain,
% 0.56/0.99 ( f(uu,v) = f(b,v) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.112.0.0','0.41.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.112.0.2',plain,
% 0.56/0.99 ( f(v,v) = f(b,v) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.112.0.1','0.101.2.0',theory(equality)]),
% 0.56/0.99 [pos('L','L')]).
% 0.56/0.99 cnf('0.112.1.0',plain,
% 0.56/0.99 ( f(v,v) = f(b,v) ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.112.0.2']),
% 0.56/0.99 [weight('<27,111,80,[1,0,0,1]>')]).
% 0.56/0.99 cnf('0.112.2.0',plain,
% 0.56/0.99 ( f(b,v) = f(v,v) ),
% 0.56/0.99 inference(orient,[status(thm)],['0.112.1.0',theory(equality)]),
% 0.56/0.99 [x,rule_112]).
% 0.56/0.99 cnf('0.160.0.0',plain,
% 0.56/0.99 ( f(f(n3,n2),f(u2,X1)) = f(a,f(f(n3,n2),X1)) ),
% 0.56/0.99 inference(cp,[status(thm)],['0.1.2.0','0.2.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.1','L')]).
% 0.56/0.99 cnf('0.160.1.0',plain,
% 0.56/0.99 ( f(f(n3,n2),f(u2,X1)) = f(a,f(f(n3,n2),X1)) ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.160.0.0']),
% 0.56/0.99 [weight('<?,2,1,[0,0,0,1]>')]).
% 0.56/0.99 cnf('0.160.2.0',plain,
% 0.56/0.99 ( f(f(n3,n2),f(u2,X1)) = f(a,f(f(n3,n2),X1)) ),
% 0.56/0.99 inference(orient,[status(thm)],['0.160.1.0',theory(equality)]),
% 0.56/0.99 [u,rule_160]).
% 0.56/0.99 cnf('0.167.0.0',plain,
% 0.56/0.99 ( f(a,f(f(n3,n2),u2)) = f(f(n3,n2),uu) ),
% 0.56/0.99 inference(cp,[status(thm)],['0.160.2.0','0.24.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.167.0.1',plain,
% 0.56/0.99 ( f(a,a) = f(f(n3,n2),uu) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.167.0.0','0.2.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.167.1.0',plain,
% 0.56/0.99 ( f(a,a) = f(f(n3,n2),uu) ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.167.0.1']),
% 0.56/0.99 [weight('<53,160,24,[1,0,0,4]>')]).
% 0.56/0.99 cnf('0.167.2.0',plain,
% 0.56/0.99 ( f(f(n3,n2),uu) = f(a,a) ),
% 0.56/0.99 inference(orient,[status(thm)],['0.167.1.0',theory(equality)]),
% 0.56/0.99 [x,rule_167]).
% 0.56/0.99 cnf('0.179.0.0',plain,
% 0.56/0.99 ( f(n3,f(X1,u)) = f(f(n3,X1),uu) ),
% 0.56/0.99 inference(cp,[status(thm)],['0.1.2.0','0.69.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.179.1.0',plain,
% 0.56/0.99 ( f(n3,f(X1,u)) = f(f(n3,X1),uu) ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.179.0.0']),
% 0.56/0.99 [weight('<65,69,1,[0,0,0,4]>')]).
% 0.56/0.99 cnf('0.179.2.0',plain,
% 0.56/0.99 ( f(f(n3,X1),uu) = f(n3,f(X1,u)) ),
% 0.56/0.99 inference(orient,[status(thm)],['0.179.1.0',theory(equality)]),
% 0.56/0.99 [x,rule_179]).
% 0.56/0.99 cnf('0.180.0.0',plain,
% 0.56/0.99 ( f(f(n3,n2),uu) = f(a,a) ),
% 0.56/0.99 inference(interreduction_right,[status(thm)],['0.167.2.0'])).
% 0.56/0.99 cnf('0.180.0.1',plain,
% 0.56/0.99 ( f(n3,f(n2,u)) = f(a,a) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.180.0.0','0.179.2.0',theory(equality)]),
% 0.56/0.99 [pos('L','L')]).
% 0.56/0.99 cnf('0.180.0.2',plain,
% 0.56/0.99 ( f(n3,uu) = f(a,a) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.180.0.1','0.39.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.180.0.3',plain,
% 0.56/0.99 ( v = f(a,a) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.180.0.2','0.72.2.0',theory(equality)]),
% 0.56/0.99 [pos('L','L')]).
% 0.56/0.99 cnf('0.180.1.0',plain,
% 0.56/0.99 ( v = f(a,a) ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.180.0.3']),
% 0.56/0.99 [weight('<19,167,179,[0,0,0,0]>')]).
% 0.56/0.99 cnf('0.180.2.0',plain,
% 0.56/0.99 ( f(a,a) = v ),
% 0.56/0.99 inference(orient,[status(thm)],['0.180.1.0',theory(equality)]),
% 0.56/0.99 [x,rule_180]).
% 0.56/0.99 cnf('0.285.0.0',plain,
% 0.56/0.99 ( f(a,f(a,X1)) = f(v,f(a,X1)) ),
% 0.56/0.99 inference(cp,[status(thm)],['0.1.2.0','0.180.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.1','L')]).
% 0.56/0.99 cnf('0.285.1.0',plain,
% 0.56/0.99 ( f(a,f(a,X1)) = f(v,f(a,X1)) ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.285.0.0']),
% 0.56/0.99 [weight('<65,180,1,[0,0,0,1]>')]).
% 0.56/0.99 cnf('0.285.2.0',plain,
% 0.56/0.99 ( f(a,f(a,X1)) = f(v,f(a,X1)) ),
% 0.56/0.99 inference(orient,[status(thm)],['0.285.1.0',theory(equality)]),
% 0.56/0.99 [u,rule_285]).
% 0.56/0.99 cnf('0.286.0.0',plain,
% 0.56/0.99 ( f(v,f(a,a)) = f(a,v) ),
% 0.56/0.99 inference(cp,[status(thm)],['0.285.2.0','0.180.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.286.0.1',plain,
% 0.56/0.99 ( f(v,v) = f(a,v) ),
% 0.56/0.99 inference(reduction,[status(thm)],['0.286.0.0','0.180.2.0',theory(equality)]),
% 0.56/0.99 [pos('L.2','L')]).
% 0.56/0.99 cnf('0.286.1.0',plain,
% 0.56/0.99 ( f(v,v) = f(a,v) ),
% 0.56/0.99 inference(weigh,[status(thm)],['0.286.0.1']),
% 0.56/0.99 [weight('<27,285,180,[1,0,0,2]>')]).
% 0.56/0.99 cnf('0.286.2.0',plain,
% 0.56/0.99 ( f(a,v) = f(v,v) ),
% 0.56/0.99 inference(orient,[status(thm)],['0.286.1.0',theory(equality)]),
% 0.56/0.99 [x,rule_286]).
% 0.56/0.99 cnf('1.0.0.0',conjecture,
% 0.56/0.99 ( f(b,v) = f(a,v) ),
% 0.56/0.99 file('/tmp/WALDMEISTER_28358_n029',conjecture_1)).
% 0.56/0.99 cnf('1.0.0.1',plain,
% 0.56/0.99 ( f(v,v) = f(a,v) ),
% 0.56/0.99 inference(reduction,[status(thm)],['1.0.0.0','0.112.2.0',theory(equality)]),
% 0.56/0.99 [pos('L','L')]).
% 0.56/0.99 cnf('1.0.0.2',plain,
% 0.56/0.99 ( f(v,v) = f(v,v) ),
% 0.56/0.99 inference(reduction,[status(thm)],['1.0.0.1','0.286.2.0',theory(equality)]),
% 0.56/0.99 [pos('R','L')]).
% 0.56/0.99 cnf('1.0.0.3',plain,
% 0.56/0.99 ( $true ),
% 0.56/0.99 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.56/0.99 [conjecture_1]).
% 0.56/0.99
% 0.56/0.99 Proved Goals:
% 0.56/0.99 No. 1: f(b,v) ?= f(a,v) joined, current: f(v,v) = f(v,v)
% 0.56/0.99 1 goal was specified, which was proved.
% 0.56/0.99 % SZS output end CNFRefutation
% 0.56/0.99 #END OF PROOF
% 0.56/0.99
% 0.56/0.99 Problem WALDMEISTER_28358_n029
% 0.56/0.99 CPs.gen 3490
% 0.56/0.99 CPs.reexp 0
% 0.56/0.99 Select 333
% 0.56/0.99 R 286
% 0.56/0.99 E 0
% 0.56/0.99 vsize 6.7M
% 0.56/0.99 rss 3.9M
% 0.56/0.99 process.time 0.032s
% 0.56/0.99 wallclock.time 0.032s
% 0.56/0.99 status S
% 0.56/0.99
% 0.56/0.99
% 0.56/0.99 Waldmeister states: Goal proved.
% 0.56/0.99 % SZS status Unsatisfiable
%------------------------------------------------------------------------------