TSTP Solution File: ROB035-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : ROB035-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n028.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 : Mon Jul 18 20:57:19 EDT 2022
% Result : Unsatisfiable 63.43s 63.81s
% Output : CNFRefutation 63.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ROB035-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.12 % Command : woody %s
% 0.13/0.33 % Computer : n028.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
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 9 13:19:32 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.55/0.96 ********************************************************************************
% 0.55/0.96 * W A L D M E I S T E R \| \ / \|/ *
% 0.55/0.96 * |/ | \/ | *
% 0.55/0.96 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.55/0.96 * A. Jaeger and B. Loechner | | *
% 0.55/0.96 * <waldmeister@informatik.uni-kl.de> | *
% 0.55/0.96 ********************************************************************************
% 0.55/0.96
% 0.55/0.96
% 0.55/0.96 Goals:
% 0.55/0.96 ------
% 0.55/0.96
% 0.55/0.96 ( 1) true ?= false
% 0.55/0.96 using narrowing to prove negate(x1) ?= negate(add(x2,x1))
% 0.55/0.96
% 0.55/0.96 Detected structure: RobbinsAlgebra
% 0.55/0.96 ********************************************************************************
% 0.55/0.96 ****************************** COMPLETION - PROOF ******************************
% 0.55/0.96 ********************************************************************************
% 0.55/0.96
% 63.43/63.81 joined goal: 1 negate(x1) ?= negate(add(x2,x1)) to false
% 63.43/63.81 goal joined
% 63.43/63.81 % SZS status Unsatisfiable
% 63.43/63.81 #START OF PROOF
% 63.43/63.81 % SZS output start CNFRefutation
% 63.43/63.81 cnf('0.1.0.0',axiom,
% 63.43/63.81 ( X1 = negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) ),
% 63.43/63.81 file('/tmp/WALDMEISTER_27083_n028')).
% 63.43/63.81 cnf('0.1.1.0',plain,
% 63.43/63.81 ( X1 = negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.1.0.0']),
% 63.43/63.81 [weight('<0,0,0,[0,0,0,1]>')]).
% 63.43/63.81 cnf('0.1.2.0',plain,
% 63.43/63.81 ( negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = X1 ),
% 63.43/63.81 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 63.43/63.81 [x,rule_1]).
% 63.43/63.81 cnf('0.2.0.0',axiom,
% 63.43/63.81 ( add(X1,X2) = add(X2,X1) ),
% 63.43/63.81 file('/tmp/WALDMEISTER_27083_n028')).
% 63.43/63.81 cnf('0.2.1.0',plain,
% 63.43/63.81 ( add(X1,X2) = add(X2,X1) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.2.0.0']),
% 63.43/63.81 [weight('<1,0,0,[0,0,0,2]>')]).
% 63.43/63.81 cnf('0.2.2.0',plain,
% 63.43/63.81 ( add(X1,X2) = add(X2,X1) ),
% 63.43/63.81 inference(activate,[status(thm)],['0.2.1.0']),
% 63.43/63.81 [equation_1]).
% 63.43/63.81 cnf('0.3.0.0',axiom,
% 63.43/63.81 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 63.43/63.81 file('/tmp/WALDMEISTER_27083_n028')).
% 63.43/63.81 cnf('0.3.1.0',plain,
% 63.43/63.81 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.3.0.0']),
% 63.43/63.81 [weight('<2,0,0,[0,0,0,3]>')]).
% 63.43/63.81 cnf('0.3.2.0',plain,
% 63.43/63.81 ( add(add(X1,X2),X3) = add(X1,add(X2,X3)) ),
% 63.43/63.81 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 63.43/63.81 [x,rule_2]).
% 63.43/63.81 cnf('0.4.0.0',axiom,
% 63.43/63.81 ( add(X1,add(X1,add(X1,g(X1)))) = h(X1) ),
% 63.43/63.81 file('/tmp/WALDMEISTER_27083_n028')).
% 63.43/63.81 cnf('0.4.1.0',plain,
% 63.43/63.81 ( add(X1,add(X1,add(X1,g(X1)))) = h(X1) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.4.0.0']),
% 63.43/63.81 [weight('<3,0,0,[0,0,0,4]>')]).
% 63.43/63.81 cnf('0.4.2.0',plain,
% 63.43/63.81 ( add(X1,add(X1,add(X1,g(X1)))) = h(X1) ),
% 63.43/63.81 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 63.43/63.81 [u,rule_3]).
% 63.43/63.81 cnf('0.5.0.0',axiom,
% 63.43/63.81 ( negate(add(X1,negate(X1))) = g(X1) ),
% 63.43/63.81 file('/tmp/WALDMEISTER_27083_n028')).
% 63.43/63.81 cnf('0.5.1.0',plain,
% 63.43/63.81 ( negate(add(X1,negate(X1))) = g(X1) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.5.0.0']),
% 63.43/63.81 [weight('<4,0,0,[0,0,0,5]>')]).
% 63.43/63.81 cnf('0.5.2.0',plain,
% 63.43/63.81 ( negate(add(X1,negate(X1))) = g(X1) ),
% 63.43/63.81 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 63.43/63.81 [u,rule_4]).
% 63.43/63.81 cnf('0.6.0.0',axiom,
% 63.43/63.81 ( eq(X1,X1) = true ),
% 63.43/63.81 file('/tmp/WALDMEISTER_27083_n028')).
% 63.43/63.81 cnf('0.6.1.0',plain,
% 63.43/63.81 ( eq(X1,X1) = true ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.6.0.0']),
% 63.43/63.81 [weight('<5,0,0,[0,0,0,6]>')]).
% 63.43/63.81 cnf('0.6.2.0',plain,
% 63.43/63.81 ( eq(X1,X1) = true ),
% 63.43/63.81 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 63.43/63.81 [u,rule_5]).
% 63.43/63.81 cnf('0.7.0.0',axiom,
% 63.43/63.81 ( eq(negate(X1),negate(add(X2,X1))) = false ),
% 63.43/63.81 file('/tmp/WALDMEISTER_27083_n028')).
% 63.43/63.81 cnf('0.7.1.0',plain,
% 63.43/63.81 ( eq(negate(X1),negate(add(X2,X1))) = false ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.7.0.0']),
% 63.43/63.81 [weight('<6,0,0,[0,0,0,7]>')]).
% 63.43/63.81 cnf('0.7.2.0',plain,
% 63.43/63.81 ( eq(negate(X1),negate(add(X2,X1))) = false ),
% 63.43/63.81 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 63.43/63.81 [u,rule_6]).
% 63.43/63.81 cnf('0.8.0.0',plain,
% 63.43/63.81 ( X1 = negate(add(negate(add(X1,X1)),g(X1))) ),
% 63.43/63.81 inference(cp,[status(thm)],['0.1.2.0','0.5.2.0',theory(equality)]),
% 63.43/63.81 [pos('L.1.2','L')]).
% 63.43/63.81 cnf('0.8.1.0',plain,
% 63.43/63.81 ( X1 = negate(add(negate(add(X1,X1)),g(X1))) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.8.0.0']),
% 63.43/63.81 [weight('<32,5,1,[0,0,0,6]>')]).
% 63.43/63.81 cnf('0.8.1.1',plain,
% 63.43/63.81 ( X1 = negate(add(g(X1),negate(add(X1,X1)))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.8.1.0','0.2.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1','L')]).
% 63.43/63.81 cnf('0.8.2.0',plain,
% 63.43/63.81 ( negate(add(g(X1),negate(add(X1,X1)))) = X1 ),
% 63.43/63.81 inference(orient,[status(thm)],['0.8.1.1',theory(equality)]),
% 63.43/63.81 [x,rule_7]).
% 63.43/63.81 cnf('0.15.0.0',plain,
% 63.43/63.81 ( X1 = negate(add(negate(add(X2,X1)),negate(add(X1,negate(X2))))) ),
% 63.43/63.81 inference(cp,[status(thm)],['0.1.2.0','0.2.2.0',theory(equality)]),
% 63.43/63.81 [pos('L.1.1.1','L')]).
% 63.43/63.81 cnf('0.15.1.0',plain,
% 63.43/63.81 ( X1 = negate(add(negate(add(X2,X1)),negate(add(X1,negate(X2))))) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.15.0.0']),
% 63.43/63.81 [weight('<39,2,1,[0,0,0,3]>')]).
% 63.43/63.81 cnf('0.15.2.0',plain,
% 63.43/63.81 ( negate(add(negate(add(X1,X2)),negate(add(X2,negate(X1))))) = X2 ),
% 63.43/63.81 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 63.43/63.81 [x,rule_14]).
% 63.43/63.81 cnf('0.19.0.0',plain,
% 63.43/63.81 ( X1 = negate(add(negate(add(X2,X1)),negate(add(negate(X2),X1)))) ),
% 63.43/63.81 inference(cp,[status(thm)],['0.15.2.0','0.2.2.0',theory(equality)]),
% 63.43/63.81 [pos('L.1.2.1','L')]).
% 63.43/63.81 cnf('0.19.1.0',plain,
% 63.43/63.81 ( X1 = negate(add(negate(add(X2,X1)),negate(add(negate(X2),X1)))) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.19.0.0']),
% 63.43/63.81 [weight('<39,15,2,[1,0,0,7]>')]).
% 63.43/63.81 cnf('0.19.2.0',plain,
% 63.43/63.81 ( negate(add(negate(add(X1,X2)),negate(add(negate(X1),X2)))) = X2 ),
% 63.43/63.81 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 63.43/63.81 [x,rule_18]).
% 63.43/63.81 cnf('0.23.0.0',plain,
% 63.43/63.81 ( g(X1) = negate(add(negate(add(add(X1,X1),g(X1))),X1)) ),
% 63.43/63.81 inference(cp,[status(thm)],['0.15.2.0','0.8.2.0',theory(equality)]),
% 63.43/63.81 [pos('L.1.2','L')]).
% 63.43/63.81 cnf('0.23.0.1',plain,
% 63.43/63.81 ( g(X1) = negate(add(negate(add(X1,add(X1,g(X1)))),X1)) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.23.0.0','0.3.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1.1.1','L')]).
% 63.43/63.81 cnf('0.23.1.0',plain,
% 63.43/63.81 ( g(X1) = negate(add(negate(add(X1,add(X1,g(X1)))),X1)) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.23.0.1']),
% 63.43/63.81 [weight('<42,15,8,[1,0,0,6]>')]).
% 63.43/63.81 cnf('0.23.1.1',plain,
% 63.43/63.81 ( g(X1) = negate(add(X1,negate(add(X1,add(X1,g(X1)))))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.23.1.0','0.2.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1','L')]).
% 63.43/63.81 cnf('0.23.2.0',plain,
% 63.43/63.81 ( negate(add(X1,negate(add(X1,add(X1,g(X1)))))) = g(X1) ),
% 63.43/63.81 inference(orient,[status(thm)],['0.23.1.1',theory(equality)]),
% 63.43/63.81 [x,rule_22]).
% 63.43/63.81 cnf('0.24.0.0',plain,
% 63.43/63.81 ( X1 = negate(add(negate(add(X1,add(X1,add(X1,g(X1))))),g(X1))) ),
% 63.43/63.81 inference(cp,[status(thm)],['0.1.2.0','0.23.2.0',theory(equality)]),
% 63.43/63.81 [pos('L.1.2','L')]).
% 63.43/63.81 cnf('0.24.0.1',plain,
% 63.43/63.81 ( X1 = negate(add(negate(h(X1)),g(X1))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.24.0.0','0.4.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1.1.1','L')]).
% 63.43/63.81 cnf('0.24.1.0',plain,
% 63.43/63.81 ( X1 = negate(add(negate(h(X1)),g(X1))) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.24.0.1']),
% 63.43/63.81 [weight('<27,23,1,[0,0,0,6]>')]).
% 63.43/63.81 cnf('0.24.1.1',plain,
% 63.43/63.81 ( X1 = negate(add(g(X1),negate(h(X1)))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.24.1.0','0.2.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1','L')]).
% 63.43/63.81 cnf('0.24.2.0',plain,
% 63.43/63.81 ( negate(add(g(X1),negate(h(X1)))) = X1 ),
% 63.43/63.81 inference(orient,[status(thm)],['0.24.1.1',theory(equality)]),
% 63.43/63.81 [x,rule_23]).
% 63.43/63.81 cnf('0.26.0.0',plain,
% 63.43/63.81 ( g(X1) = negate(add(negate(add(g(X1),h(X1))),X1)) ),
% 63.43/63.81 inference(cp,[status(thm)],['0.1.2.0','0.24.2.0',theory(equality)]),
% 63.43/63.81 [pos('L.1.2','L')]).
% 63.43/63.81 cnf('0.26.1.0',plain,
% 63.43/63.81 ( g(X1) = negate(add(negate(add(g(X1),h(X1))),X1)) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.26.0.0']),
% 63.43/63.81 [weight('<37,24,1,[0,0,0,6]>')]).
% 63.43/63.81 cnf('0.26.1.1',plain,
% 63.43/63.81 ( g(X1) = negate(add(X1,negate(add(g(X1),h(X1))))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.26.1.0','0.2.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1','L')]).
% 63.43/63.81 cnf('0.26.1.2',plain,
% 63.43/63.81 ( g(X1) = negate(add(X1,negate(add(h(X1),g(X1))))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.26.1.1','0.2.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1.2.1','L')]).
% 63.43/63.81 cnf('0.26.2.0',plain,
% 63.43/63.81 ( negate(add(X1,negate(add(h(X1),g(X1))))) = g(X1) ),
% 63.43/63.81 inference(orient,[status(thm)],['0.26.1.2',theory(equality)]),
% 63.43/63.81 [x,rule_25]).
% 63.43/63.81 cnf('0.43.0.0',plain,
% 63.43/63.81 ( false = eq(negate(X1),negate(add(X1,X2))) ),
% 63.43/63.81 inference(cp,[status(thm)],['0.7.2.0','0.2.2.0',theory(equality)]),
% 63.43/63.81 [pos('L.2.1','L')]).
% 63.43/63.81 cnf('0.43.1.0',plain,
% 63.43/63.81 ( false = eq(negate(X1),negate(add(X1,X2))) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.43.0.0']),
% 63.43/63.81 [weight('<24,7,2,[1,0,0,4]>')]).
% 63.43/63.81 cnf('0.43.2.0',plain,
% 63.43/63.81 ( eq(negate(X1),negate(add(X1,X2))) = false ),
% 63.43/63.81 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 63.43/63.81 [x,rule_42]).
% 63.43/63.81 cnf('0.50.0.0',plain,
% 63.43/63.81 ( g(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = negate(add(add(negate(add(X1,X2)),negate(add(X1,negate(X2)))),X1)) ),
% 63.43/63.81 inference(cp,[status(thm)],['0.5.2.0','0.1.2.0',theory(equality)]),
% 63.43/63.81 [pos('L.1.2','L')]).
% 63.43/63.81 cnf('0.50.0.1',plain,
% 63.43/63.81 ( g(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = negate(add(negate(add(X1,X2)),add(negate(add(X1,negate(X2))),X1))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.50.0.0','0.3.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1','L')]).
% 63.43/63.81 cnf('0.50.1.0',plain,
% 63.43/63.81 ( g(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = negate(add(negate(add(X1,X2)),add(negate(add(X1,negate(X2))),X1))) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.50.0.1']),
% 63.43/63.81 [weight('<49,5,1,[1,0,0,3]>')]).
% 63.43/63.81 cnf('0.50.1.1',plain,
% 63.43/63.81 ( g(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = negate(add(negate(add(X1,X2)),add(X1,negate(add(X1,negate(X2)))))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.50.1.0','0.2.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1.2','L')]).
% 63.43/63.81 cnf('0.50.2.0',plain,
% 63.43/63.81 ( negate(add(negate(add(X1,X2)),add(X1,negate(add(X1,negate(X2)))))) = g(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) ),
% 63.43/63.81 inference(orient,[status(thm)],['0.50.1.1',theory(equality)]),
% 63.43/63.81 [x,rule_49]).
% 63.43/63.81 cnf('0.51.0.0',plain,
% 63.43/63.81 ( g(add(negate(add(X1,X1)),negate(add(X1,negate(X1))))) = negate(add(negate(add(X1,X1)),add(X1,g(X1)))) ),
% 63.43/63.81 inference(cp,[status(thm)],['0.50.2.0','0.5.2.0',theory(equality)]),
% 63.43/63.81 [pos('L.1.2.2','L')]).
% 63.43/63.81 cnf('0.51.0.1',plain,
% 63.43/63.81 ( g(add(negate(add(X1,X1)),g(X1))) = negate(add(negate(add(X1,X1)),add(X1,g(X1)))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.51.0.0','0.5.2.0',theory(equality)]),
% 63.43/63.81 [pos('L.1.2','L')]).
% 63.43/63.81 cnf('0.51.1.0',plain,
% 63.43/63.81 ( g(add(negate(add(X1,X1)),g(X1))) = negate(add(negate(add(X1,X1)),add(X1,g(X1)))) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.51.0.1']),
% 63.43/63.81 [weight('<42,50,5,[1,0,0,8]>')]).
% 63.43/63.81 cnf('0.51.1.1',plain,
% 63.43/63.81 ( g(add(g(X1),negate(add(X1,X1)))) = negate(add(negate(add(X1,X1)),add(X1,g(X1)))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.51.1.0','0.2.2.0',theory(equality)]),
% 63.43/63.81 [pos('L.1','L')]).
% 63.43/63.81 cnf('0.51.1.2',plain,
% 63.43/63.81 ( g(add(g(X1),negate(add(X1,X1)))) = negate(add(add(X1,g(X1)),negate(add(X1,X1)))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.51.1.1','0.2.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1','L')]).
% 63.43/63.81 cnf('0.51.1.3',plain,
% 63.43/63.81 ( g(add(g(X1),negate(add(X1,X1)))) = negate(add(X1,add(g(X1),negate(add(X1,X1))))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.51.1.2','0.3.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1','L')]).
% 63.43/63.81 cnf('0.51.2.0',plain,
% 63.43/63.81 ( negate(add(X1,add(g(X1),negate(add(X1,X1))))) = g(add(g(X1),negate(add(X1,X1)))) ),
% 63.43/63.81 inference(orient,[status(thm)],['0.51.1.3',theory(equality)]),
% 63.43/63.81 [x,rule_50]).
% 63.43/63.81 cnf('0.59.0.0',plain,
% 63.43/63.81 ( add(X1,add(X2,X3)) = add(X2,add(X3,X1)) ),
% 63.43/63.81 inference(cp,[status(thm)],['0.2.2.0','0.3.2.0',theory(equality)]),
% 63.43/63.81 [pos('L','L')]).
% 63.43/63.81 cnf('0.59.1.0',plain,
% 63.43/63.81 ( add(X1,add(X2,X3)) = add(X2,add(X3,X1)) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.59.0.0']),
% 63.43/63.81 [weight('<?,3,2,[0,0,0,0]>')]).
% 63.43/63.81 cnf('0.59.2.0',plain,
% 63.43/63.81 ( add(X1,add(X2,X3)) = add(X2,add(X3,X1)) ),
% 63.43/63.81 inference(activate,[status(thm)],['0.59.1.0']),
% 63.43/63.81 [equation_2]).
% 63.43/63.81 cnf('0.71.0.0',plain,
% 63.43/63.81 ( add(X1,add(X2,X3)) = add(add(X2,X1),X3) ),
% 63.43/63.81 inference(cp,[status(thm)],['0.3.2.0','0.2.2.0',theory(equality)]),
% 63.43/63.81 [pos('L.1','L')]).
% 63.43/63.81 cnf('0.71.0.1',plain,
% 63.43/63.81 ( add(X1,add(X2,X3)) = add(X2,add(X1,X3)) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.71.0.0','0.3.2.0',theory(equality)]),
% 63.43/63.81 [pos('R','L')]).
% 63.43/63.81 cnf('0.71.1.0',plain,
% 63.43/63.81 ( add(X1,add(X2,X3)) = add(X2,add(X1,X3)) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.71.0.1']),
% 63.43/63.81 [weight('<?,3,2,[1,0,0,1]>')]).
% 63.43/63.81 cnf('0.71.2.0',plain,
% 63.43/63.81 ( add(X1,add(X2,X3)) = add(X2,add(X1,X3)) ),
% 63.43/63.81 inference(activate,[status(thm)],['0.71.1.0']),
% 63.43/63.81 [equation_3]).
% 63.43/63.81 cnf('0.75.0.0',plain,
% 63.43/63.81 ( add(X1,add(X2,X3)) = add(X3,add(X2,X1)) ),
% 63.43/63.81 inference(cp,[status(thm)],['0.59.2.0','0.2.2.0',theory(equality)]),
% 63.43/63.81 [pos('L.2','L')]).
% 63.43/63.81 cnf('0.75.1.0',plain,
% 63.43/63.81 ( add(X1,add(X2,X3)) = add(X3,add(X2,X1)) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.75.0.0']),
% 63.43/63.81 [weight('<50,59,2,[1,0,0,2]>')]).
% 63.43/63.81 cnf('0.75.2.0',plain,
% 63.43/63.81 ( add(X1,add(X2,X3)) = add(X3,add(X2,X1)) ),
% 63.43/63.81 inference(activate,[status(thm)],['0.75.1.0']),
% 63.43/63.81 [equation_4]).
% 63.43/63.81 cnf('0.88.0.0',plain,
% 63.43/63.81 ( X1 = negate(add(negate(add(X1,add(h(X1),g(X1)))),g(X1))) ),
% 63.43/63.81 inference(cp,[status(thm)],['0.1.2.0','0.26.2.0',theory(equality)]),
% 63.43/63.81 [pos('L.1.2','L')]).
% 63.43/63.81 cnf('0.88.1.0',plain,
% 63.43/63.81 ( X1 = negate(add(negate(add(X1,add(h(X1),g(X1)))),g(X1))) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.88.0.0']),
% 63.43/63.81 [weight('<52,26,1,[0,0,0,6]>')]).
% 63.43/63.81 cnf('0.88.1.1',plain,
% 63.43/63.81 ( X1 = negate(add(g(X1),negate(add(X1,add(h(X1),g(X1)))))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.88.1.0','0.2.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1','L')]).
% 63.43/63.81 cnf('0.88.2.0',plain,
% 63.43/63.81 ( negate(add(g(X1),negate(add(X1,add(h(X1),g(X1)))))) = X1 ),
% 63.43/63.81 inference(orient,[status(thm)],['0.88.1.1',theory(equality)]),
% 63.43/63.81 [x,rule_84]).
% 63.43/63.81 cnf('0.92.0.0',plain,
% 63.43/63.81 ( X1 = negate(add(negate(add(X1,add(X2,negate(X2)))),negate(add(X1,g(X2))))) ),
% 63.43/63.81 inference(cp,[status(thm)],['0.1.2.0','0.5.2.0',theory(equality)]),
% 63.43/63.81 [pos('L.1.2.1.2','L')]).
% 63.43/63.81 cnf('0.92.1.0',plain,
% 63.43/63.81 ( X1 = negate(add(negate(add(X1,add(X2,negate(X2)))),negate(add(X1,g(X2))))) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.92.0.0']),
% 63.43/63.81 [weight('<54,5,1,[0,0,0,9]>')]).
% 63.43/63.81 cnf('0.92.1.1',plain,
% 63.43/63.81 ( X1 = negate(add(negate(add(X1,g(X2))),negate(add(X1,add(X2,negate(X2)))))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.92.1.0','0.2.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1','L')]).
% 63.43/63.81 cnf('0.92.2.0',plain,
% 63.43/63.81 ( negate(add(negate(add(X1,g(X2))),negate(add(X1,add(X2,negate(X2)))))) = X1 ),
% 63.43/63.81 inference(orient,[status(thm)],['0.92.1.1',theory(equality)]),
% 63.43/63.81 [x,rule_88]).
% 63.43/63.81 cnf('0.128.0.0',plain,
% 63.43/63.81 ( X1 = negate(add(negate(add(X2,add(X3,X1))),negate(add(X1,negate(add(X2,X3)))))) ),
% 63.43/63.81 inference(cp,[status(thm)],['0.15.2.0','0.3.2.0',theory(equality)]),
% 63.43/63.81 [pos('L.1.1.1','L')]).
% 63.43/63.81 cnf('0.128.1.0',plain,
% 63.43/63.81 ( X1 = negate(add(negate(add(X2,add(X3,X1))),negate(add(X1,negate(add(X2,X3)))))) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.128.0.0']),
% 63.43/63.81 [weight('<59,15,3,[1,0,0,3]>')]).
% 63.43/63.81 cnf('0.128.2.0',plain,
% 63.43/63.81 ( negate(add(negate(add(X1,add(X2,X3))),negate(add(X3,negate(add(X1,X2)))))) = X3 ),
% 63.43/63.81 inference(orient,[status(thm)],['0.128.1.0',theory(equality)]),
% 63.43/63.81 [x,rule_124]).
% 63.43/63.81 cnf('0.130.0.0',plain,
% 63.43/63.81 ( add(X1,g(X1)) = negate(add(negate(h(X1)),negate(add(add(X1,g(X1)),negate(add(X1,X1)))))) ),
% 63.43/63.81 inference(cp,[status(thm)],['0.128.2.0','0.4.2.0',theory(equality)]),
% 63.43/63.81 [pos('L.1.1.1','L')]).
% 63.43/63.81 cnf('0.130.0.1',plain,
% 63.43/63.81 ( add(X1,g(X1)) = negate(add(negate(h(X1)),negate(add(X1,add(g(X1),negate(add(X1,X1))))))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.130.0.0','0.3.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1.2.1','L')]).
% 63.43/63.81 cnf('0.130.0.2',plain,
% 63.43/63.81 ( add(X1,g(X1)) = negate(add(negate(h(X1)),g(add(g(X1),negate(add(X1,X1)))))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.130.0.1','0.51.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1.2','L')]).
% 63.43/63.81 cnf('0.130.1.0',plain,
% 63.43/63.81 ( add(X1,g(X1)) = negate(add(negate(h(X1)),g(add(g(X1),negate(add(X1,X1)))))) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.130.0.2']),
% 63.43/63.81 [weight('<53,128,4,[1,0,0,3]>')]).
% 63.43/63.81 cnf('0.130.2.0',plain,
% 63.43/63.81 ( negate(add(negate(h(X1)),g(add(g(X1),negate(add(X1,X1)))))) = add(X1,g(X1)) ),
% 63.43/63.81 inference(orient,[status(thm)],['0.130.1.0',theory(equality)]),
% 63.43/63.81 [x,rule_126]).
% 63.43/63.81 cnf('0.136.0.0',plain,
% 63.43/63.81 ( X1 = negate(add(negate(add(X1,add(g(X2),negate(h(X2))))),negate(add(X1,X2)))) ),
% 63.43/63.81 inference(cp,[status(thm)],['0.1.2.0','0.24.2.0',theory(equality)]),
% 63.43/63.81 [pos('L.1.2.1.2','L')]).
% 63.43/63.81 cnf('0.136.1.0',plain,
% 63.43/63.81 ( X1 = negate(add(negate(add(X1,add(g(X2),negate(h(X2))))),negate(add(X1,X2)))) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.136.0.0']),
% 63.43/63.81 [weight('<59,24,1,[0,0,0,9]>')]).
% 63.43/63.81 cnf('0.136.1.1',plain,
% 63.43/63.81 ( X1 = negate(add(negate(add(X1,X2)),negate(add(X1,add(g(X2),negate(h(X2))))))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.136.1.0','0.2.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1','L')]).
% 63.43/63.81 cnf('0.136.2.0',plain,
% 63.43/63.81 ( negate(add(negate(add(X1,X2)),negate(add(X1,add(g(X2),negate(h(X2))))))) = X1 ),
% 63.43/63.81 inference(orient,[status(thm)],['0.136.1.1',theory(equality)]),
% 63.43/63.81 [x,rule_132]).
% 63.43/63.81 cnf('0.157.0.0',plain,
% 63.43/63.81 ( X1 = negate(add(negate(add(X2,add(X1,X3))),negate(add(X1,negate(add(X2,X3)))))) ),
% 63.43/63.81 inference(cp,[status(thm)],['0.1.2.0','0.71.2.0',theory(equality)]),
% 63.43/63.81 [pos('L.1.1.1','L')]).
% 63.43/63.81 cnf('0.157.1.0',plain,
% 63.43/63.81 ( X1 = negate(add(negate(add(X2,add(X1,X3))),negate(add(X1,negate(add(X2,X3)))))) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.157.0.0']),
% 63.43/63.81 [weight('<59,71,1,[0,0,0,3]>')]).
% 63.43/63.81 cnf('0.157.2.0',plain,
% 63.43/63.81 ( negate(add(negate(add(X1,add(X2,X3))),negate(add(X2,negate(add(X1,X3)))))) = X2 ),
% 63.43/63.81 inference(orient,[status(thm)],['0.157.1.0',theory(equality)]),
% 63.43/63.81 [x,rule_153]).
% 63.43/63.81 cnf('0.167.0.0',plain,
% 63.43/63.81 ( X1 = negate(add(negate(add(X2,X1)),negate(add(X1,add(g(X2),negate(h(X2))))))) ),
% 63.43/63.81 inference(cp,[status(thm)],['0.136.2.0','0.2.2.0',theory(equality)]),
% 63.43/63.81 [pos('L.1.1.1','L')]).
% 63.43/63.81 cnf('0.167.1.0',plain,
% 63.43/63.81 ( X1 = negate(add(negate(add(X2,X1)),negate(add(X1,add(g(X2),negate(h(X2))))))) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.167.0.0']),
% 63.43/63.81 [weight('<59,136,2,[1,0,0,3]>')]).
% 63.43/63.81 cnf('0.167.2.0',plain,
% 63.43/63.81 ( negate(add(negate(add(X1,X2)),negate(add(X2,add(g(X1),negate(h(X1))))))) = X2 ),
% 63.43/63.81 inference(orient,[status(thm)],['0.167.1.0',theory(equality)]),
% 63.43/63.81 [x,rule_163]).
% 63.43/63.81 cnf('0.481.0.0',plain,
% 63.43/63.81 ( negate(add(X1,X2)) = negate(add(negate(add(negate(add(X1,X2)),add(X2,add(g(X1),negate(h(X1)))))),X2)) ),
% 63.43/63.81 inference(cp,[status(thm)],['0.1.2.0','0.167.2.0',theory(equality)]),
% 63.43/63.81 [pos('L.1.2','L')]).
% 63.43/63.81 cnf('0.481.1.0',plain,
% 63.43/63.81 ( negate(add(X1,X2)) = negate(add(negate(add(negate(add(X1,X2)),add(X2,add(g(X1),negate(h(X1)))))),X2)) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.481.0.0']),
% 63.43/63.81 [weight('<69,167,1,[0,0,0,6]>')]).
% 63.43/63.81 cnf('0.481.1.1',plain,
% 63.43/63.81 ( negate(add(X1,X2)) = negate(add(X2,negate(add(negate(add(X1,X2)),add(X2,add(g(X1),negate(h(X1)))))))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.481.1.0','0.2.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1','L')]).
% 63.43/63.81 cnf('0.481.1.2',plain,
% 63.43/63.81 ( negate(add(X1,X2)) = negate(add(X2,negate(add(X2,add(negate(add(X1,X2)),add(g(X1),negate(h(X1)))))))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.481.1.1','0.71.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1.2.1','L')]).
% 63.43/63.81 cnf('0.481.1.3',plain,
% 63.43/63.81 ( negate(add(X1,X2)) = negate(add(X2,negate(add(X2,add(negate(h(X1)),add(g(X1),negate(add(X1,X2)))))))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.481.1.2','0.75.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1.2.1.2','L')]).
% 63.43/63.81 cnf('0.481.1.4',plain,
% 63.43/63.81 ( negate(add(X1,X2)) = negate(add(X2,negate(add(X2,add(g(X1),add(negate(h(X1)),negate(add(X1,X2)))))))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.481.1.3','0.71.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1.2.1.2','L')]).
% 63.43/63.81 cnf('0.481.2.0',plain,
% 63.43/63.81 ( negate(add(X1,negate(add(X1,add(g(X2),add(negate(h(X2)),negate(add(X2,X1)))))))) = negate(add(X2,X1)) ),
% 63.43/63.81 inference(orient,[status(thm)],['0.481.1.4',theory(equality)]),
% 63.43/63.81 [x,rule_477]).
% 63.43/63.81 cnf('0.596.0.0',plain,
% 63.43/63.81 ( X1 = negate(add(negate(add(add(negate(add(X2,X3)),negate(add(X2,negate(X3)))),X1)),negate(add(X2,X1)))) ),
% 63.43/63.81 inference(cp,[status(thm)],['0.19.2.0','0.1.2.0',theory(equality)]),
% 63.43/63.81 [pos('L.1.2.1.1','L')]).
% 63.43/63.81 cnf('0.596.0.1',plain,
% 63.43/63.81 ( X1 = negate(add(negate(add(negate(add(X2,X3)),add(negate(add(X2,negate(X3))),X1))),negate(add(X2,X1)))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.596.0.0','0.3.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1.1.1','L')]).
% 63.43/63.81 cnf('0.596.1.0',plain,
% 63.43/63.81 ( X1 = negate(add(negate(add(negate(add(X2,X3)),add(negate(add(X2,negate(X3))),X1))),negate(add(X2,X1)))) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.596.0.1']),
% 63.43/63.81 [weight('<71,19,1,[1,0,0,8]>')]).
% 63.43/63.81 cnf('0.596.1.1',plain,
% 63.43/63.81 ( X1 = negate(add(negate(add(X2,X1)),negate(add(negate(add(X2,X3)),add(negate(add(X2,negate(X3))),X1))))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.596.1.0','0.2.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1','L')]).
% 63.43/63.81 cnf('0.596.2.0',plain,
% 63.43/63.81 ( negate(add(negate(add(X1,X2)),negate(add(negate(add(X1,X3)),add(negate(add(X1,negate(X3))),X2))))) = X2 ),
% 63.43/63.81 inference(orient,[status(thm)],['0.596.1.1',theory(equality)]),
% 63.43/63.81 [x,rule_592]).
% 63.43/63.81 cnf('0.1108.0.0',plain,
% 63.43/63.81 ( negate(h(X1)) = negate(add(X1,negate(add(negate(add(g(X1),X2)),add(negate(add(g(X1),negate(X2))),negate(h(X1))))))) ),
% 63.43/63.81 inference(cp,[status(thm)],['0.596.2.0','0.24.2.0',theory(equality)]),
% 63.43/63.81 [pos('L.1.1','L')]).
% 63.43/63.81 cnf('0.1108.1.0',plain,
% 63.43/63.81 ( negate(h(X1)) = negate(add(X1,negate(add(negate(add(g(X1),X2)),add(negate(add(g(X1),negate(X2))),negate(h(X1))))))) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.1108.0.0']),
% 63.43/63.81 [weight('<76,596,24,[1,0,0,2]>')]).
% 63.43/63.81 cnf('0.1108.1.1',plain,
% 63.43/63.81 ( negate(h(X1)) = negate(add(X1,negate(add(negate(h(X1)),add(negate(add(g(X1),negate(X2))),negate(add(g(X1),X2))))))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.1108.1.0','0.75.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1.2.1','L')]).
% 63.43/63.81 cnf('0.1108.1.2',plain,
% 63.43/63.81 ( negate(h(X1)) = negate(add(X1,negate(add(negate(h(X1)),add(negate(add(g(X1),X2)),negate(add(g(X1),negate(X2)))))))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.1108.1.1','0.2.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1.2.1.2','L')]).
% 63.43/63.81 cnf('0.1108.2.0',plain,
% 63.43/63.81 ( negate(add(X1,negate(add(negate(h(X1)),add(negate(add(g(X1),X2)),negate(add(g(X1),negate(X2)))))))) = negate(h(X1)) ),
% 63.43/63.81 inference(orient,[status(thm)],['0.1108.1.2',theory(equality)]),
% 63.43/63.81 [x,rule_1104]).
% 63.43/63.81 cnf('0.2985.0.0',plain,
% 63.43/63.81 ( negate(h(X1)) = negate(add(add(X1,g(X1)),negate(add(negate(h(X1)),add(add(g(X1),negate(add(X1,X1))),negate(add(g(X1),negate(add(X1,X1))))))))) ),
% 63.43/63.81 inference(cp,[status(thm)],['0.92.2.0','0.130.2.0',theory(equality)]),
% 63.43/63.81 [pos('L.1.1','L')]).
% 63.43/63.81 cnf('0.2985.0.1',plain,
% 63.43/63.81 ( negate(h(X1)) = negate(add(X1,add(g(X1),negate(add(negate(h(X1)),add(add(g(X1),negate(add(X1,X1))),negate(add(g(X1),negate(add(X1,X1)))))))))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.2985.0.0','0.3.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1','L')]).
% 63.43/63.81 cnf('0.2985.0.2',plain,
% 63.43/63.81 ( negate(h(X1)) = negate(add(X1,add(g(X1),negate(add(negate(h(X1)),add(g(X1),add(negate(add(X1,X1)),negate(add(g(X1),negate(add(X1,X1))))))))))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.2985.0.1','0.3.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1.2.2.1.2','L')]).
% 63.43/63.81 cnf('0.2985.0.3',plain,
% 63.43/63.81 ( negate(h(X1)) = negate(add(X1,add(g(X1),negate(add(negate(h(X1)),add(g(X1),add(negate(add(X1,X1)),X1))))))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.2985.0.2','0.8.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1.2.2.1.2.2.2','L')]).
% 63.43/63.81 cnf('0.2985.1.0',plain,
% 63.43/63.81 ( negate(h(X1)) = negate(add(X1,add(g(X1),negate(add(negate(h(X1)),add(g(X1),add(negate(add(X1,X1)),X1))))))) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.2985.0.3']),
% 63.43/63.81 [weight('<84,130,92,[0,0,0,2]>')]).
% 63.43/63.81 cnf('0.2985.1.1',plain,
% 63.43/63.81 ( negate(h(X1)) = negate(add(X1,add(g(X1),negate(add(g(X1),add(negate(h(X1)),add(negate(add(X1,X1)),X1))))))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.2985.1.0','0.71.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1.2.2.1','L')]).
% 63.43/63.81 cnf('0.2985.1.2',plain,
% 63.43/63.81 ( negate(h(X1)) = negate(add(X1,add(g(X1),negate(add(g(X1),add(X1,add(negate(add(X1,X1)),negate(h(X1))))))))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.2985.1.1','0.75.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1.2.2.1.2','L')]).
% 63.43/63.81 cnf('0.2985.1.3',plain,
% 63.43/63.81 ( negate(h(X1)) = negate(add(X1,add(g(X1),negate(add(X1,add(g(X1),add(negate(add(X1,X1)),negate(h(X1))))))))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.2985.1.2','0.71.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1.2.2.1','L')]).
% 63.43/63.81 cnf('0.2985.1.4',plain,
% 63.43/63.81 ( negate(h(X1)) = negate(add(X1,add(g(X1),negate(add(X1,add(g(X1),add(negate(h(X1)),negate(add(X1,X1))))))))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.2985.1.3','0.2.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1.2.2.1.2.2','L')]).
% 63.43/63.81 cnf('0.2985.2.0',plain,
% 63.43/63.81 ( negate(add(X1,add(g(X1),negate(add(X1,add(g(X1),add(negate(h(X1)),negate(add(X1,X1))))))))) = negate(h(X1)) ),
% 63.43/63.81 inference(orient,[status(thm)],['0.2985.1.4',theory(equality)]),
% 63.43/63.81 [x,rule_2971]).
% 63.43/63.81 cnf('0.2986.0.0',plain,
% 63.43/63.81 ( g(X1) = negate(add(negate(h(X1)),negate(add(g(X1),negate(add(X1,negate(add(X1,add(g(X1),add(negate(h(X1)),negate(add(X1,X1)))))))))))) ),
% 63.43/63.81 inference(cp,[status(thm)],['0.157.2.0','0.2985.2.0',theory(equality)]),
% 63.43/63.81 [pos('L.1.1','L')]).
% 63.43/63.81 cnf('0.2986.0.1',plain,
% 63.43/63.81 ( g(X1) = negate(add(negate(h(X1)),negate(add(g(X1),negate(add(X1,X1)))))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.2986.0.0','0.481.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1.2.1.2','L')]).
% 63.43/63.81 cnf('0.2986.0.2',plain,
% 63.43/63.81 ( g(X1) = negate(add(negate(h(X1)),X1)) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.2986.0.1','0.8.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1.2','L')]).
% 63.43/63.81 cnf('0.2986.1.0',plain,
% 63.43/63.81 ( g(X1) = negate(add(negate(h(X1)),X1)) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.2986.0.2']),
% 63.43/63.81 [weight('<22,2985,157,[0,0,0,2]>')]).
% 63.43/63.81 cnf('0.2986.1.1',plain,
% 63.43/63.81 ( g(X1) = negate(add(X1,negate(h(X1)))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.2986.1.0','0.2.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1','L')]).
% 63.43/63.81 cnf('0.2986.2.0',plain,
% 63.43/63.81 ( negate(add(X1,negate(h(X1)))) = g(X1) ),
% 63.43/63.81 inference(orient,[status(thm)],['0.2986.1.1',theory(equality)]),
% 63.43/63.81 [x,rule_2972]).
% 63.43/63.81 cnf('0.2987.0.0',plain,
% 63.43/63.81 ( X1 = negate(add(negate(add(X1,h(X1))),g(X1))) ),
% 63.43/63.81 inference(cp,[status(thm)],['0.1.2.0','0.2986.2.0',theory(equality)]),
% 63.43/63.81 [pos('L.1.2','L')]).
% 63.43/63.81 cnf('0.2987.1.0',plain,
% 63.43/63.81 ( X1 = negate(add(negate(add(X1,h(X1))),g(X1))) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.2987.0.0']),
% 63.43/63.81 [weight('<37,2986,1,[0,0,0,6]>')]).
% 63.43/63.81 cnf('0.2987.1.1',plain,
% 63.43/63.81 ( X1 = negate(add(g(X1),negate(add(X1,h(X1))))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.2987.1.0','0.2.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1','L')]).
% 63.43/63.81 cnf('0.2987.2.0',plain,
% 63.43/63.81 ( negate(add(g(X1),negate(add(X1,h(X1))))) = X1 ),
% 63.43/63.81 inference(orient,[status(thm)],['0.2987.1.1',theory(equality)]),
% 63.43/63.81 [x,rule_2973]).
% 63.43/63.81 cnf('0.3024.0.0',plain,
% 63.43/63.81 ( X1 = negate(add(negate(add(add(X2,negate(h(X2))),X1)),negate(add(g(X2),X1)))) ),
% 63.43/63.81 inference(cp,[status(thm)],['0.19.2.0','0.2986.2.0',theory(equality)]),
% 63.43/63.81 [pos('L.1.2.1.1','L')]).
% 63.43/63.81 cnf('0.3024.0.1',plain,
% 63.43/63.81 ( X1 = negate(add(negate(add(X2,add(negate(h(X2)),X1))),negate(add(g(X2),X1)))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.3024.0.0','0.3.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1.1.1','L')]).
% 63.43/63.81 cnf('0.3024.1.0',plain,
% 63.43/63.81 ( X1 = negate(add(negate(add(X2,add(negate(h(X2)),X1))),negate(add(g(X2),X1)))) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.3024.0.1']),
% 63.43/63.81 [weight('<59,2986,19,[0,0,0,8]>')]).
% 63.43/63.81 cnf('0.3024.1.1',plain,
% 63.43/63.81 ( X1 = negate(add(negate(add(g(X2),X1)),negate(add(X2,add(negate(h(X2)),X1))))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.3024.1.0','0.2.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1','L')]).
% 63.43/63.81 cnf('0.3024.2.0',plain,
% 63.43/63.81 ( negate(add(negate(add(g(X1),X2)),negate(add(X1,add(negate(h(X1)),X2))))) = X2 ),
% 63.43/63.81 inference(orient,[status(thm)],['0.3024.1.1',theory(equality)]),
% 63.43/63.81 [x,rule_3010]).
% 63.43/63.81 cnf('0.3258.0.0',plain,
% 63.43/63.81 ( negate(h(X1)) = negate(add(X1,negate(add(negate(h(X1)),add(negate(add(g(X1),add(X1,h(X1)))),X1))))) ),
% 63.43/63.81 inference(cp,[status(thm)],['0.1108.2.0','0.2987.2.0',theory(equality)]),
% 63.43/63.81 [pos('L.1.2.1.2.2','L')]).
% 63.43/63.81 cnf('0.3258.1.0',plain,
% 63.43/63.81 ( negate(h(X1)) = negate(add(X1,negate(add(negate(h(X1)),add(negate(add(g(X1),add(X1,h(X1)))),X1))))) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.3258.0.0']),
% 63.43/63.81 [weight('<74,2987,1108,[0,0,0,14]>')]).
% 63.43/63.81 cnf('0.3258.1.1',plain,
% 63.43/63.81 ( negate(h(X1)) = negate(add(X1,negate(add(X1,add(negate(add(g(X1),add(X1,h(X1)))),negate(h(X1))))))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.3258.1.0','0.75.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1.2.1','L')]).
% 63.43/63.81 cnf('0.3258.1.2',plain,
% 63.43/63.81 ( negate(h(X1)) = negate(add(X1,negate(add(X1,add(negate(h(X1)),negate(add(g(X1),add(X1,h(X1))))))))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.3258.1.1','0.2.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1.2.1.2','L')]).
% 63.43/63.81 cnf('0.3258.1.3',plain,
% 63.43/63.81 ( negate(h(X1)) = negate(add(X1,negate(add(X1,add(negate(h(X1)),negate(add(h(X1),add(X1,g(X1))))))))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.3258.1.2','0.75.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1.2.1.2.2.1','L')]).
% 63.43/63.81 cnf('0.3258.1.4',plain,
% 63.43/63.81 ( negate(h(X1)) = negate(add(X1,negate(add(X1,add(negate(h(X1)),negate(add(X1,add(h(X1),g(X1))))))))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.3258.1.3','0.71.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1.2.1.2.2.1','L')]).
% 63.43/63.81 cnf('0.3258.2.0',plain,
% 63.43/63.81 ( negate(add(X1,negate(add(X1,add(negate(h(X1)),negate(add(X1,add(h(X1),g(X1))))))))) = negate(h(X1)) ),
% 63.43/63.81 inference(orient,[status(thm)],['0.3258.1.4',theory(equality)]),
% 63.43/63.81 [x,rule_3244]).
% 63.43/63.81 cnf('0.3261.0.0',plain,
% 63.43/63.81 ( negate(add(X1,add(h(X1),g(X1)))) = negate(add(X1,negate(add(X1,add(negate(h(X1)),negate(add(X1,add(h(X1),g(X1))))))))) ),
% 63.43/63.81 inference(cp,[status(thm)],['0.3024.2.0','0.88.2.0',theory(equality)]),
% 63.43/63.81 [pos('L.1.1','L')]).
% 63.43/63.81 cnf('0.3261.1.0',plain,
% 63.43/63.81 ( negate(add(X1,add(h(X1),g(X1)))) = negate(add(X1,negate(add(X1,add(negate(h(X1)),negate(add(X1,add(h(X1),g(X1))))))))) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.3261.0.0']),
% 63.43/63.81 [weight('<74,3024,88,[1,0,0,2]>')]).
% 63.43/63.81 cnf('0.3261.1.1',plain,
% 63.43/63.81 ( negate(add(X1,add(h(X1),g(X1)))) = negate(h(X1)) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.3261.1.0','0.3258.2.0',theory(equality)]),
% 63.43/63.81 [pos('R','L')]).
% 63.43/63.81 cnf('0.3261.2.0',plain,
% 63.43/63.81 ( negate(add(X1,add(h(X1),g(X1)))) = negate(h(X1)) ),
% 63.43/63.81 inference(orient,[status(thm)],['0.3261.1.1',theory(equality)]),
% 63.43/63.81 [u,rule_3247]).
% 63.43/63.81 cnf('0.3267.0.0',plain,
% 63.43/63.81 ( h(X1) = negate(add(negate(h(X1)),negate(add(h(X1),negate(add(X1,g(X1))))))) ),
% 63.43/63.81 inference(cp,[status(thm)],['0.157.2.0','0.3261.2.0',theory(equality)]),
% 63.43/63.81 [pos('L.1.1','L')]).
% 63.43/63.81 cnf('0.3267.1.0',plain,
% 63.43/63.81 ( h(X1) = negate(add(negate(h(X1)),negate(add(h(X1),negate(add(X1,g(X1))))))) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.3267.0.0']),
% 63.43/63.81 [weight('<54,3261,157,[0,0,0,2]>')]).
% 63.43/63.81 cnf('0.3267.2.0',plain,
% 63.43/63.81 ( negate(add(negate(h(X1)),negate(add(h(X1),negate(add(X1,g(X1))))))) = h(X1) ),
% 63.43/63.81 inference(orient,[status(thm)],['0.3267.1.0',theory(equality)]),
% 63.43/63.81 [x,rule_3253]).
% 63.43/63.81 cnf('0.3279.0.0',plain,
% 63.43/63.81 ( negate(h(X1)) = negate(add(negate(add(negate(h(X1)),add(h(X1),negate(add(X1,g(X1)))))),h(X1))) ),
% 63.43/63.81 inference(cp,[status(thm)],['0.1.2.0','0.3267.2.0',theory(equality)]),
% 63.43/63.81 [pos('L.1.2','L')]).
% 63.43/63.81 cnf('0.3279.1.0',plain,
% 63.43/63.81 ( negate(h(X1)) = negate(add(negate(add(negate(h(X1)),add(h(X1),negate(add(X1,g(X1)))))),h(X1))) ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.3279.0.0']),
% 63.43/63.81 [weight('<69,3267,1,[0,0,0,6]>')]).
% 63.43/63.81 cnf('0.3279.1.1',plain,
% 63.43/63.81 ( negate(h(X1)) = negate(add(h(X1),negate(add(negate(h(X1)),add(h(X1),negate(add(X1,g(X1)))))))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.3279.1.0','0.2.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1','L')]).
% 63.43/63.81 cnf('0.3279.1.2',plain,
% 63.43/63.81 ( negate(h(X1)) = negate(add(h(X1),negate(add(h(X1),add(negate(h(X1)),negate(add(X1,g(X1)))))))) ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.3279.1.1','0.71.2.0',theory(equality)]),
% 63.43/63.81 [pos('R.1.2.1','L')]).
% 63.43/63.81 cnf('0.3279.2.0',plain,
% 63.43/63.81 ( negate(add(h(X1),negate(add(h(X1),add(negate(h(X1)),negate(add(X1,g(X1)))))))) = negate(h(X1)) ),
% 63.43/63.81 inference(orient,[status(thm)],['0.3279.1.2',theory(equality)]),
% 63.43/63.81 [x,rule_3265]).
% 63.43/63.81 cnf('0.3280.0.0',plain,
% 63.43/63.81 ( false = eq(negate(h(X1)),negate(h(X1))) ),
% 63.43/63.81 inference(cp,[status(thm)],['0.43.2.0','0.3279.2.0',theory(equality)]),
% 63.43/63.81 [pos('L.2','L')]).
% 63.43/63.81 cnf('0.3280.0.1',plain,
% 63.43/63.81 ( false = true ),
% 63.43/63.81 inference(reduction,[status(thm)],['0.3280.0.0','0.6.2.0',theory(equality)]),
% 63.43/63.81 [pos('R','L')]).
% 63.43/63.81 cnf('0.3280.1.0',plain,
% 63.43/63.81 ( false = true ),
% 63.43/63.81 inference(weigh,[status(thm)],['0.3280.0.1']),
% 63.43/63.81 [weight('<5,3279,43,[0,0,0,3]>')]).
% 63.43/63.81 cnf('0.3280.2.0',plain,
% 63.43/63.81 ( true = false ),
% 63.43/63.81 inference(orient,[status(thm)],['0.3280.1.0',theory(equality)]),
% 63.43/63.81 [x,rule_3266]).
% 63.43/63.81 cnf('1.0.0.0',conjecture,
% 63.43/63.81 ( true = false ),
% 63.43/63.81 file('/tmp/WALDMEISTER_27083_n028',conjecture_1)).
% 63.43/63.81 cnf('1.0.0.1',plain,
% 63.43/63.81 ( false = false ),
% 63.43/63.81 inference(reduction,[status(thm)],['1.0.0.0','0.3280.2.0',theory(equality)]),
% 63.43/63.81 [pos('L','L')]).
% 63.43/63.81 cnf('1.0.0.2',plain,
% 63.43/63.81 ( $true ),
% 63.43/63.81 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 63.43/63.81 [conjecture_1]).
% 63.43/63.81
% 63.43/63.81 Proved Goals:
% 63.43/63.81 No. 1: true ?= false, current false ?= false
% 63.43/63.81 using narrowing to prove negate(x1) ?= negate(add(x2,x1))
% 63.43/63.81
% 63.43/63.81 1 goal was specified, which was proved.
% 63.43/63.81 % SZS output end CNFRefutation
% 63.43/63.81 #END OF PROOF
% 63.43/63.81
% 63.43/63.81 Problem WALDMEISTER_27083_n028
% 63.43/63.81 CPs.gen 6256608
% 63.43/63.81 CPs.reexp 0
% 63.43/63.81 Select 15180
% 63.43/63.81 R 3266
% 63.43/63.81 E 14
% 63.43/63.81 vsize 14.3M
% 63.43/63.81 rss 9.4M
% 63.43/63.81 process.time 62.846s
% 63.43/63.81 wallclock.time 62.846s
% 63.43/63.81 status S
% 63.43/63.81
% 63.43/63.81
% 63.43/63.81 Waldmeister states: Goal proved.
% 63.43/63.81 % SZS status Unsatisfiable
%------------------------------------------------------------------------------