TSTP Solution File: ROB018-10 by Waldmeister---710
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : ROB018-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 20:57:16 EDT 2022
% Result : Unsatisfiable 38.17s 38.54s
% Output : CNFRefutation 38.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ROB018-10 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n023.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 : Thu Jun 9 14:48:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.59/0.99 ********************************************************************************
% 0.59/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/0.99 * |/ | \/ | *
% 0.59/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/0.99 * A. Jaeger and B. Loechner | | *
% 0.59/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/0.99 ********************************************************************************
% 0.59/0.99
% 0.59/0.99
% 0.59/0.99 Goals:
% 0.59/0.99 ------
% 0.59/0.99
% 0.59/0.99 ( 1) add(e,multiply(successor(successor(one)),add(d,negate(add(d,negate(e)))))) ?=? add(e,multiply(successor(one),add(d,negate(add(d,negate(e))))))
% 0.59/0.99
% 0.59/0.99 Detected structure: RobbinsAlgebra
% 0.59/0.99 ********************************************************************************
% 0.59/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.59/0.99 ********************************************************************************
% 0.59/0.99
% 38.17/38.54 joined goal: 1 add(e,multiply(successor(successor(one)),add(d,negate(add(d,negate(e)))))) ?= add(e,multiply(successor(one),add(d,negate(add(d,negate(e)))))) to d
% 38.17/38.54 goal joined
% 38.17/38.54 % SZS status Unsatisfiable
% 38.17/38.54 #START OF PROOF
% 38.17/38.54 % SZS output start CNFRefutation
% 38.17/38.54 cnf('0.1.0.0',axiom,
% 38.17/38.55 ( X1 = negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) ),
% 38.17/38.55 file('/tmp/WALDMEISTER_14769_n023')).
% 38.17/38.55 cnf('0.1.1.0',plain,
% 38.17/38.55 ( X1 = negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.1.0.0']),
% 38.17/38.55 [weight('<0,0,0,[0,0,0,1]>')]).
% 38.17/38.55 cnf('0.1.2.0',plain,
% 38.17/38.55 ( negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = X1 ),
% 38.17/38.55 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 38.17/38.55 [x,rule_1]).
% 38.17/38.55 cnf('0.5.0.0',axiom,
% 38.17/38.55 ( add(X1,X2) = add(X2,X1) ),
% 38.17/38.55 file('/tmp/WALDMEISTER_14769_n023')).
% 38.17/38.55 cnf('0.5.1.0',plain,
% 38.17/38.55 ( add(X1,X2) = add(X2,X1) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5.0.0']),
% 38.17/38.55 [weight('<4,0,0,[0,0,0,5]>')]).
% 38.17/38.55 cnf('0.5.2.0',plain,
% 38.17/38.55 ( add(X1,X2) = add(X2,X1) ),
% 38.17/38.55 inference(activate,[status(thm)],['0.5.1.0']),
% 38.17/38.55 [equation_1]).
% 38.17/38.55 cnf('0.6.0.0',axiom,
% 38.17/38.55 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 38.17/38.55 file('/tmp/WALDMEISTER_14769_n023')).
% 38.17/38.55 cnf('0.6.1.0',plain,
% 38.17/38.55 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.6.0.0']),
% 38.17/38.55 [weight('<5,0,0,[0,0,0,6]>')]).
% 38.17/38.55 cnf('0.6.2.0',plain,
% 38.17/38.55 ( add(add(X1,X2),X3) = add(X1,add(X2,X3)) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 38.17/38.55 [x,rule_5]).
% 38.17/38.55 cnf('0.7.0.0',axiom,
% 38.17/38.55 ( negate(add(d,negate(e))) = negate(e) ),
% 38.17/38.55 file('/tmp/WALDMEISTER_14769_n023')).
% 38.17/38.55 cnf('0.7.1.0',plain,
% 38.17/38.55 ( negate(add(d,negate(e))) = negate(e) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.7.0.0']),
% 38.17/38.55 [weight('<6,0,0,[0,0,0,7]>')]).
% 38.17/38.55 cnf('0.7.2.0',plain,
% 38.17/38.55 ( negate(add(d,negate(e))) = negate(e) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 38.17/38.55 [u,rule_6]).
% 38.17/38.55 cnf('0.13.0.0',plain,
% 38.17/38.55 ( negate(add(X1,X2)) = negate(add(X1,negate(add(negate(add(X1,X2)),negate(negate(add(X1,negate(X2)))))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.1','L')]).
% 38.17/38.55 cnf('0.13.1.0',plain,
% 38.17/38.55 ( negate(add(X1,X2)) = negate(add(X1,negate(add(negate(add(X1,X2)),negate(negate(add(X1,negate(X2)))))))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.13.0.0']),
% 38.17/38.55 [weight('<?,1,1,[0,0,0,2]>')]).
% 38.17/38.55 cnf('0.13.2.0',plain,
% 38.17/38.55 ( negate(add(X1,negate(add(negate(add(X1,X2)),negate(negate(add(X1,negate(X2)))))))) = negate(add(X1,X2)) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 38.17/38.55 [x,rule_12]).
% 38.17/38.55 cnf('0.24.0.0',plain,
% 38.17/38.55 ( negate(add(X1,X2)) = negate(add(negate(add(negate(add(X1,X2)),add(X1,negate(X2)))),X1)) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.2','L')]).
% 38.17/38.55 cnf('0.24.1.0',plain,
% 38.17/38.55 ( negate(add(X1,X2)) = negate(add(negate(add(negate(add(X1,X2)),add(X1,negate(X2)))),X1)) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.24.0.0']),
% 38.17/38.55 [weight('<?,1,1,[0,0,0,6]>')]).
% 38.17/38.55 cnf('0.24.1.1',plain,
% 38.17/38.55 ( negate(add(X1,X2)) = negate(add(X1,negate(add(negate(add(X1,X2)),add(X1,negate(X2)))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.24.1.0','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1','L')]).
% 38.17/38.55 cnf('0.24.1.2',plain,
% 38.17/38.55 ( negate(add(X1,X2)) = negate(add(X1,negate(add(add(X1,negate(X2)),negate(add(X1,X2)))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.24.1.1','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1','L')]).
% 38.17/38.55 cnf('0.24.1.3',plain,
% 38.17/38.55 ( negate(add(X1,X2)) = negate(add(X1,negate(add(X1,add(negate(X2),negate(add(X1,X2))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.24.1.2','0.6.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1','L')]).
% 38.17/38.55 cnf('0.24.2.0',plain,
% 38.17/38.55 ( negate(add(X1,negate(add(X1,add(negate(X2),negate(add(X1,X2))))))) = negate(add(X1,X2)) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.24.1.3',theory(equality)]),
% 38.17/38.55 [x,rule_23]).
% 38.17/38.55 cnf('0.30.0.0',plain,
% 38.17/38.55 ( X1 = negate(add(negate(add(X2,X1)),negate(add(X1,negate(X2))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.1.2.0','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.1.1','L')]).
% 38.17/38.55 cnf('0.30.1.0',plain,
% 38.17/38.55 ( X1 = negate(add(negate(add(X2,X1)),negate(add(X1,negate(X2))))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.30.0.0']),
% 38.17/38.55 [weight('<39,5,1,[0,0,0,3]>')]).
% 38.17/38.55 cnf('0.30.2.0',plain,
% 38.17/38.55 ( negate(add(negate(add(X1,X2)),negate(add(X2,negate(X1))))) = X2 ),
% 38.17/38.55 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 38.17/38.55 [x,rule_29]).
% 38.17/38.55 cnf('0.31.0.0',plain,
% 38.17/38.55 ( negate(e) = negate(add(negate(e),negate(add(negate(e),negate(d))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.30.2.0','0.7.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.1','L')]).
% 38.17/38.55 cnf('0.31.1.0',plain,
% 38.17/38.55 ( negate(e) = negate(add(negate(e),negate(add(negate(e),negate(d))))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.31.0.0']),
% 38.17/38.55 [weight('<30,30,7,[1,0,0,2]>')]).
% 38.17/38.55 cnf('0.31.1.1',plain,
% 38.17/38.55 ( negate(e) = negate(add(negate(e),negate(add(negate(d),negate(e))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.31.1.0','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1','L')]).
% 38.17/38.55 cnf('0.31.2.0',plain,
% 38.17/38.55 ( negate(add(negate(e),negate(add(negate(d),negate(e))))) = negate(e) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.31.1.1',theory(equality)]),
% 38.17/38.55 [x,rule_30]).
% 38.17/38.55 cnf('0.35.0.0',plain,
% 38.17/38.55 ( X1 = negate(add(negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))),negate(add(X1,X2)))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.2.1.2','L')]).
% 38.17/38.55 cnf('0.35.1.0',plain,
% 38.17/38.55 ( X1 = negate(add(negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))),negate(add(X1,X2)))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.35.0.0']),
% 38.17/38.55 [weight('<?,1,1,[0,0,0,9]>')]).
% 38.17/38.55 cnf('0.35.1.1',plain,
% 38.17/38.55 ( X1 = negate(add(negate(add(X1,X2)),negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.35.1.0','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1','L')]).
% 38.17/38.55 cnf('0.35.2.0',plain,
% 38.17/38.55 ( negate(add(negate(add(X1,X2)),negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))))) = X1 ),
% 38.17/38.55 inference(orient,[status(thm)],['0.35.1.1',theory(equality)]),
% 38.17/38.55 [x,rule_34]).
% 38.17/38.55 cnf('0.36.0.0',plain,
% 38.17/38.55 ( X1 = negate(add(negate(add(X2,X1)),negate(add(negate(X2),X1)))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.30.2.0','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.2.1','L')]).
% 38.17/38.55 cnf('0.36.1.0',plain,
% 38.17/38.55 ( X1 = negate(add(negate(add(X2,X1)),negate(add(negate(X2),X1)))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.36.0.0']),
% 38.17/38.55 [weight('<39,30,5,[1,0,0,7]>')]).
% 38.17/38.55 cnf('0.36.2.0',plain,
% 38.17/38.55 ( negate(add(negate(add(X1,X2)),negate(add(negate(X1),X2)))) = X2 ),
% 38.17/38.55 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 38.17/38.55 [x,rule_35]).
% 38.17/38.55 cnf('0.46.0.0',plain,
% 38.17/38.55 ( add(X1,X2) = negate(add(negate(add(X1,add(X2,X3))),negate(add(add(X1,X2),negate(X3))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.1.2.0','0.6.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.1.1','L')]).
% 38.17/38.55 cnf('0.46.0.1',plain,
% 38.17/38.55 ( add(X1,X2) = negate(add(negate(add(X1,add(X2,X3))),negate(add(X1,add(X2,negate(X3)))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.46.0.0','0.6.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1','L')]).
% 38.17/38.55 cnf('0.46.1.0',plain,
% 38.17/38.55 ( add(X1,X2) = negate(add(negate(add(X1,add(X2,X3))),negate(add(X1,add(X2,negate(X3)))))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.46.0.1']),
% 38.17/38.55 [weight('<?,6,1,[0,0,0,3]>')]).
% 38.17/38.55 cnf('0.46.2.0',plain,
% 38.17/38.55 ( negate(add(negate(add(X1,add(X2,X3))),negate(add(X1,add(X2,negate(X3)))))) = add(X1,X2) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 38.17/38.55 [x,rule_45]).
% 38.17/38.55 cnf('0.57.0.0',plain,
% 38.17/38.55 ( add(X1,add(X2,X3)) = add(X2,add(X3,X1)) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.5.2.0','0.6.2.0',theory(equality)]),
% 38.17/38.55 [pos('L','L')]).
% 38.17/38.55 cnf('0.57.1.0',plain,
% 38.17/38.55 ( add(X1,add(X2,X3)) = add(X2,add(X3,X1)) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.57.0.0']),
% 38.17/38.55 [weight('<?,6,5,[0,0,0,0]>')]).
% 38.17/38.55 cnf('0.57.2.0',plain,
% 38.17/38.55 ( add(X1,add(X2,X3)) = add(X2,add(X3,X1)) ),
% 38.17/38.55 inference(activate,[status(thm)],['0.57.1.0']),
% 38.17/38.55 [equation_2]).
% 38.17/38.55 cnf('0.68.0.0',plain,
% 38.17/38.55 ( add(X1,add(X2,X3)) = add(add(X2,X1),X3) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.6.2.0','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1','L')]).
% 38.17/38.55 cnf('0.68.0.1',plain,
% 38.17/38.55 ( add(X1,add(X2,X3)) = add(X2,add(X1,X3)) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.68.0.0','0.6.2.0',theory(equality)]),
% 38.17/38.55 [pos('R','L')]).
% 38.17/38.55 cnf('0.68.1.0',plain,
% 38.17/38.55 ( add(X1,add(X2,X3)) = add(X2,add(X1,X3)) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.68.0.1']),
% 38.17/38.55 [weight('<?,6,5,[1,0,0,1]>')]).
% 38.17/38.55 cnf('0.68.2.0',plain,
% 38.17/38.55 ( add(X1,add(X2,X3)) = add(X2,add(X1,X3)) ),
% 38.17/38.55 inference(activate,[status(thm)],['0.68.1.0']),
% 38.17/38.55 [equation_3]).
% 38.17/38.55 cnf('0.71.0.0',plain,
% 38.17/38.55 ( negate(add(X1,X2)) = negate(add(negate(add(negate(add(X1,X2)),add(negate(X1),X2))),X2)) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.1.2.0','0.36.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.2','L')]).
% 38.17/38.55 cnf('0.71.1.0',plain,
% 38.17/38.55 ( negate(add(X1,X2)) = negate(add(negate(add(negate(add(X1,X2)),add(negate(X1),X2))),X2)) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.71.0.0']),
% 38.17/38.55 [weight('<49,36,1,[0,0,0,6]>')]).
% 38.17/38.55 cnf('0.71.1.1',plain,
% 38.17/38.55 ( negate(add(X1,X2)) = negate(add(X2,negate(add(negate(add(X1,X2)),add(negate(X1),X2))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.71.1.0','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1','L')]).
% 38.17/38.55 cnf('0.71.1.2',plain,
% 38.17/38.55 ( negate(add(X1,X2)) = negate(add(X2,negate(add(negate(X1),add(negate(add(X1,X2)),X2))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.71.1.1','0.68.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1','L')]).
% 38.17/38.55 cnf('0.71.1.3',plain,
% 38.17/38.55 ( negate(add(X1,X2)) = negate(add(X2,negate(add(negate(X1),add(X2,negate(add(X1,X2))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.71.1.2','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1.2','L')]).
% 38.17/38.55 cnf('0.71.2.0',plain,
% 38.17/38.55 ( negate(add(X1,negate(add(negate(X2),add(X1,negate(add(X2,X1))))))) = negate(add(X2,X1)) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.71.1.3',theory(equality)]),
% 38.17/38.55 [x,rule_68]).
% 38.17/38.55 cnf('0.74.0.0',plain,
% 38.17/38.55 ( negate(add(negate(X1),X2)) = negate(add(negate(add(add(X1,X2),negate(add(negate(X1),X2)))),X2)) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.36.2.0','0.36.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.2','L')]).
% 38.17/38.55 cnf('0.74.0.1',plain,
% 38.17/38.55 ( negate(add(negate(X1),X2)) = negate(add(negate(add(X1,add(X2,negate(add(negate(X1),X2))))),X2)) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.74.0.0','0.6.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.1.1','L')]).
% 38.17/38.55 cnf('0.74.1.0',plain,
% 38.17/38.55 ( negate(add(negate(X1),X2)) = negate(add(negate(add(X1,add(X2,negate(add(negate(X1),X2))))),X2)) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.74.0.1']),
% 38.17/38.55 [weight('<49,36,36,[0,0,0,6]>')]).
% 38.17/38.55 cnf('0.74.1.1',plain,
% 38.17/38.55 ( negate(add(negate(X1),X2)) = negate(add(X2,negate(add(X1,add(X2,negate(add(negate(X1),X2))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.74.1.0','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1','L')]).
% 38.17/38.55 cnf('0.74.2.0',plain,
% 38.17/38.55 ( negate(add(X1,negate(add(X2,add(X1,negate(add(negate(X2),X1))))))) = negate(add(negate(X2),X1)) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.74.1.1',theory(equality)]),
% 38.17/38.55 [x,rule_71]).
% 38.17/38.55 cnf('0.84.0.0',plain,
% 38.17/38.55 ( X1 = negate(add(negate(add(add(d,negate(e)),X1)),negate(add(negate(e),X1)))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.36.2.0','0.7.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.2.1.1','L')]).
% 38.17/38.55 cnf('0.84.0.1',plain,
% 38.17/38.55 ( X1 = negate(add(negate(add(d,add(negate(e),X1))),negate(add(negate(e),X1)))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.84.0.0','0.6.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.1.1','L')]).
% 38.17/38.55 cnf('0.84.1.0',plain,
% 38.17/38.55 ( X1 = negate(add(negate(add(d,add(negate(e),X1))),negate(add(negate(e),X1)))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.84.0.1']),
% 38.17/38.55 [weight('<50,36,7,[1,0,0,8]>')]).
% 38.17/38.55 cnf('0.84.1.1',plain,
% 38.17/38.55 ( X1 = negate(add(negate(add(negate(e),X1)),negate(add(d,add(negate(e),X1))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.84.1.0','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1','L')]).
% 38.17/38.55 cnf('0.84.2.0',plain,
% 38.17/38.55 ( negate(add(negate(add(negate(e),X1)),negate(add(d,add(negate(e),X1))))) = X1 ),
% 38.17/38.55 inference(orient,[status(thm)],['0.84.1.1',theory(equality)]),
% 38.17/38.55 [x,rule_81]).
% 38.17/38.55 cnf('0.87.0.0',plain,
% 38.17/38.55 ( add(X1,add(X2,X3)) = add(X3,add(X2,X1)) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.57.2.0','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.2','L')]).
% 38.17/38.55 cnf('0.87.1.0',plain,
% 38.17/38.55 ( add(X1,add(X2,X3)) = add(X3,add(X2,X1)) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.87.0.0']),
% 38.17/38.55 [weight('<50,57,5,[1,0,0,2]>')]).
% 38.17/38.55 cnf('0.87.2.0',plain,
% 38.17/38.55 ( add(X1,add(X2,X3)) = add(X3,add(X2,X1)) ),
% 38.17/38.55 inference(activate,[status(thm)],['0.87.1.0']),
% 38.17/38.55 [equation_4]).
% 38.17/38.55 cnf('0.180.0.0',plain,
% 38.17/38.55 ( add(X1,X2) = negate(add(negate(add(X1,add(X3,X2))),negate(add(X1,add(X2,negate(X3)))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.46.2.0','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.1.1.2','L')]).
% 38.17/38.55 cnf('0.180.1.0',plain,
% 38.17/38.55 ( add(X1,X2) = negate(add(negate(add(X1,add(X3,X2))),negate(add(X1,add(X2,negate(X3)))))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.180.0.0']),
% 38.17/38.55 [weight('<59,46,5,[1,0,0,5]>')]).
% 38.17/38.55 cnf('0.180.2.0',plain,
% 38.17/38.55 ( negate(add(negate(add(X1,add(X2,X3))),negate(add(X1,add(X3,negate(X2)))))) = add(X1,X3) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.180.1.0',theory(equality)]),
% 38.17/38.55 [x,rule_175]).
% 38.17/38.55 cnf('0.282.0.0',plain,
% 38.17/38.55 ( X1 = negate(add(negate(add(X1,add(negate(e),negate(add(negate(d),negate(e)))))),negate(add(X1,negate(e))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.1.2.0','0.31.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.2.1.2','L')]).
% 38.17/38.55 cnf('0.282.1.0',plain,
% 38.17/38.55 ( X1 = negate(add(negate(add(X1,add(negate(e),negate(add(negate(d),negate(e)))))),negate(add(X1,negate(e))))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.282.0.0']),
% 38.17/38.55 [weight('<63,31,1,[0,0,0,9]>')]).
% 38.17/38.55 cnf('0.282.1.1',plain,
% 38.17/38.55 ( X1 = negate(add(negate(add(X1,negate(e))),negate(add(X1,add(negate(e),negate(add(negate(d),negate(e)))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.282.1.0','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1','L')]).
% 38.17/38.55 cnf('0.282.2.0',plain,
% 38.17/38.55 ( negate(add(negate(add(X1,negate(e))),negate(add(X1,add(negate(e),negate(add(negate(d),negate(e)))))))) = X1 ),
% 38.17/38.55 inference(orient,[status(thm)],['0.282.1.1',theory(equality)]),
% 38.17/38.55 [x,rule_277]).
% 38.17/38.55 cnf('0.283.0.0',plain,
% 38.17/38.55 ( d = negate(add(negate(e),negate(add(d,add(negate(e),negate(add(negate(d),negate(e)))))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.282.2.0','0.7.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.1','L')]).
% 38.17/38.55 cnf('0.283.0.1',plain,
% 38.17/38.55 ( d = negate(add(negate(d),negate(e))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.283.0.0','0.74.2.0',theory(equality)]),
% 38.17/38.55 [pos('R','L')]).
% 38.17/38.55 cnf('0.283.1.0',plain,
% 38.17/38.55 ( d = negate(add(negate(d),negate(e))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.283.0.1']),
% 38.17/38.55 [weight('<18,282,7,[1,0,0,2]>')]).
% 38.17/38.55 cnf('0.283.2.0',plain,
% 38.17/38.55 ( negate(add(negate(d),negate(e))) = d ),
% 38.17/38.55 inference(orient,[status(thm)],['0.283.1.0',theory(equality)]),
% 38.17/38.55 [x,rule_278]).
% 38.17/38.55 cnf('0.336.0.0',plain,
% 38.17/38.55 ( negate(add(add(negate(d),negate(e)),X1)) = negate(add(X1,negate(add(d,add(X1,negate(add(add(negate(d),negate(e)),X1))))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.71.2.0','0.283.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.2.1.1','L')]).
% 38.17/38.55 cnf('0.336.0.1',plain,
% 38.17/38.55 ( negate(add(negate(d),add(negate(e),X1))) = negate(add(X1,negate(add(d,add(X1,negate(add(add(negate(d),negate(e)),X1))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.336.0.0','0.6.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1','L')]).
% 38.17/38.55 cnf('0.336.0.2',plain,
% 38.17/38.55 ( negate(add(negate(d),add(negate(e),X1))) = negate(add(X1,negate(add(d,add(X1,negate(add(negate(d),add(negate(e),X1)))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.336.0.1','0.6.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1.2.2.1','L')]).
% 38.17/38.55 cnf('0.336.1.0',plain,
% 38.17/38.55 ( negate(add(negate(d),add(negate(e),X1))) = negate(add(X1,negate(add(d,add(X1,negate(add(negate(d),add(negate(e),X1)))))))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.336.0.2']),
% 38.17/38.55 [weight('<60,283,71,[0,0,0,5]>')]).
% 38.17/38.55 cnf('0.336.2.0',plain,
% 38.17/38.55 ( negate(add(X1,negate(add(d,add(X1,negate(add(negate(d),add(negate(e),X1)))))))) = negate(add(negate(d),add(negate(e),X1))) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.336.1.0',theory(equality)]),
% 38.17/38.55 [x,rule_331]).
% 38.17/38.55 cnf('0.339.0.0',plain,
% 38.17/38.55 ( negate(add(negate(add(negate(d),negate(e))),X1)) = negate(add(X1,negate(add(add(negate(d),negate(e)),add(X1,negate(add(d,X1))))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.74.2.0','0.283.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.2.1.2.2.1.1','L')]).
% 38.17/38.55 cnf('0.339.0.1',plain,
% 38.17/38.55 ( negate(add(d,X1)) = negate(add(X1,negate(add(add(negate(d),negate(e)),add(X1,negate(add(d,X1))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.339.0.0','0.283.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.1','L')]).
% 38.17/38.55 cnf('0.339.0.2',plain,
% 38.17/38.55 ( negate(add(d,X1)) = negate(add(X1,negate(add(negate(d),add(negate(e),add(X1,negate(add(d,X1)))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.339.0.1','0.6.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1','L')]).
% 38.17/38.55 cnf('0.339.1.0',plain,
% 38.17/38.55 ( negate(add(d,X1)) = negate(add(X1,negate(add(negate(d),add(negate(e),add(X1,negate(add(d,X1)))))))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.339.0.2']),
% 38.17/38.55 [weight('<60,283,74,[0,0,0,10]>')]).
% 38.17/38.55 cnf('0.339.2.0',plain,
% 38.17/38.55 ( negate(add(X1,negate(add(negate(d),add(negate(e),add(X1,negate(add(d,X1)))))))) = negate(add(d,X1)) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.339.1.0',theory(equality)]),
% 38.17/38.55 [x,rule_334]).
% 38.17/38.55 cnf('0.365.0.0',plain,
% 38.17/38.55 ( negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))) = negate(add(X1,negate(add(X1,add(X2,negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3))))))))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.24.2.0','0.1.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.2.1.2.1','L')]).
% 38.17/38.55 cnf('0.365.1.0',plain,
% 38.17/38.55 ( negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))) = negate(add(X1,negate(add(X1,add(X2,negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3))))))))))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.365.0.0']),
% 38.17/38.55 [weight('<?,24,1,[1,0,0,7]>')]).
% 38.17/38.55 cnf('0.365.2.0',plain,
% 38.17/38.55 ( negate(add(X1,negate(add(X1,add(X2,negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3))))))))))) = negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.365.1.0',theory(equality)]),
% 38.17/38.55 [x,rule_360]).
% 38.17/38.55 cnf('0.391.0.0',plain,
% 38.17/38.55 ( d = negate(add(negate(e),negate(add(d,add(negate(add(negate(e),X1)),negate(add(negate(e),negate(X1)))))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.35.2.0','0.7.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.1','L')]).
% 38.17/38.55 cnf('0.391.1.0',plain,
% 38.17/38.55 ( d = negate(add(negate(e),negate(add(d,add(negate(add(negate(e),X1)),negate(add(negate(e),negate(X1)))))))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.391.0.0']),
% 38.17/38.55 [weight('<63,35,7,[1,0,0,2]>')]).
% 38.17/38.55 cnf('0.391.2.0',plain,
% 38.17/38.55 ( negate(add(negate(e),negate(add(d,add(negate(add(negate(e),X1)),negate(add(negate(e),negate(X1)))))))) = d ),
% 38.17/38.55 inference(orient,[status(thm)],['0.391.1.0',theory(equality)]),
% 38.17/38.55 [x,rule_386]).
% 38.17/38.55 cnf('0.437.0.0',plain,
% 38.17/38.55 ( d = negate(add(negate(e),negate(add(d,add(negate(add(X1,negate(e))),negate(add(negate(e),negate(X1)))))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.391.2.0','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.2.1.2.1.1','L')]).
% 38.17/38.55 cnf('0.437.1.0',plain,
% 38.17/38.55 ( d = negate(add(negate(e),negate(add(d,add(negate(add(X1,negate(e))),negate(add(negate(e),negate(X1)))))))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.437.0.0']),
% 38.17/38.55 [weight('<63,391,5,[1,0,0,9]>')]).
% 38.17/38.55 cnf('0.437.2.0',plain,
% 38.17/38.55 ( negate(add(negate(e),negate(add(d,add(negate(add(X1,negate(e))),negate(add(negate(e),negate(X1)))))))) = d ),
% 38.17/38.55 inference(orient,[status(thm)],['0.437.1.0',theory(equality)]),
% 38.17/38.55 [x,rule_432]).
% 38.17/38.55 cnf('0.448.0.0',plain,
% 38.17/38.55 ( d = negate(add(negate(e),negate(add(d,add(negate(add(X1,negate(e))),negate(add(negate(X1),negate(e)))))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.437.2.0','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.2.1.2.2.1','L')]).
% 38.17/38.55 cnf('0.448.1.0',plain,
% 38.17/38.55 ( d = negate(add(negate(e),negate(add(d,add(negate(add(X1,negate(e))),negate(add(negate(X1),negate(e)))))))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.448.0.0']),
% 38.17/38.55 [weight('<63,437,5,[1,0,0,14]>')]).
% 38.17/38.55 cnf('0.448.2.0',plain,
% 38.17/38.55 ( negate(add(negate(e),negate(add(d,add(negate(add(X1,negate(e))),negate(add(negate(X1),negate(e)))))))) = d ),
% 38.17/38.55 inference(orient,[status(thm)],['0.448.1.0',theory(equality)]),
% 38.17/38.55 [x,rule_443]).
% 38.17/38.55 cnf('0.450.0.0',plain,
% 38.17/38.55 ( d = negate(add(negate(e),negate(add(d,add(negate(add(add(negate(d),negate(e)),negate(e))),negate(add(d,negate(e)))))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.448.2.0','0.283.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.2.1.2.2.1.1','L')]).
% 38.17/38.55 cnf('0.450.0.1',plain,
% 38.17/38.55 ( d = negate(add(negate(e),negate(add(d,add(negate(add(negate(d),add(negate(e),negate(e)))),negate(add(d,negate(e)))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.450.0.0','0.6.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1.2.1.1','L')]).
% 38.17/38.55 cnf('0.450.0.2',plain,
% 38.17/38.55 ( d = negate(add(negate(e),negate(add(d,add(negate(add(negate(d),add(negate(e),negate(e)))),negate(e)))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.450.0.1','0.7.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1.2.2','L')]).
% 38.17/38.55 cnf('0.450.1.0',plain,
% 38.17/38.55 ( d = negate(add(negate(e),negate(add(d,add(negate(add(negate(d),add(negate(e),negate(e)))),negate(e)))))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.450.0.2']),
% 38.17/38.55 [weight('<63,448,283,[1,0,0,15]>')]).
% 38.17/38.55 cnf('0.450.1.1',plain,
% 38.17/38.55 ( d = negate(add(negate(e),negate(add(d,add(negate(e),negate(add(negate(d),add(negate(e),negate(e))))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.450.1.0','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1.2','L')]).
% 38.17/38.55 cnf('0.450.1.2',plain,
% 38.17/38.55 ( d = negate(add(negate(d),add(negate(e),negate(e)))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.450.1.1','0.336.2.0',theory(equality)]),
% 38.17/38.55 [pos('R','L')]).
% 38.17/38.55 cnf('0.450.2.0',plain,
% 38.17/38.55 ( negate(add(negate(d),add(negate(e),negate(e)))) = d ),
% 38.17/38.55 inference(orient,[status(thm)],['0.450.1.2',theory(equality)]),
% 38.17/38.55 [x,rule_445]).
% 38.17/38.55 cnf('0.451.0.0',plain,
% 38.17/38.55 ( add(negate(e),negate(e)) = negate(add(negate(add(d,add(negate(e),negate(e)))),d)) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.36.2.0','0.450.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.2','L')]).
% 38.17/38.55 cnf('0.451.1.0',plain,
% 38.17/38.55 ( add(negate(e),negate(e)) = negate(add(negate(add(d,add(negate(e),negate(e)))),d)) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.451.0.0']),
% 38.17/38.55 [weight('<39,450,36,[0,0,0,6]>')]).
% 38.17/38.55 cnf('0.451.1.1',plain,
% 38.17/38.55 ( add(negate(e),negate(e)) = negate(add(d,negate(add(d,add(negate(e),negate(e)))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.451.1.0','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1','L')]).
% 38.17/38.55 cnf('0.451.2.0',plain,
% 38.17/38.55 ( negate(add(d,negate(add(d,add(negate(e),negate(e)))))) = add(negate(e),negate(e)) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.451.1.1',theory(equality)]),
% 38.17/38.55 [x,rule_446]).
% 38.17/38.55 cnf('0.686.0.0',plain,
% 38.17/38.55 ( add(X1,X2) = negate(add(negate(add(X1,add(negate(e),X2))),negate(add(d,add(negate(e),add(X1,X2)))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.84.2.0','0.68.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.1.1','L')]).
% 38.17/38.55 cnf('0.686.1.0',plain,
% 38.17/38.55 ( add(X1,X2) = negate(add(negate(add(X1,add(negate(e),X2))),negate(add(d,add(negate(e),add(X1,X2)))))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.686.0.0']),
% 38.17/38.55 [weight('<70,84,68,[1,0,0,3]>')]).
% 38.17/38.55 cnf('0.686.2.0',plain,
% 38.17/38.55 ( negate(add(negate(add(X1,add(negate(e),X2))),negate(add(d,add(negate(e),add(X1,X2)))))) = add(X1,X2) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.686.1.0',theory(equality)]),
% 38.17/38.55 [x,rule_672]).
% 38.17/38.55 cnf('0.771.0.0',plain,
% 38.17/38.55 ( add(X1,X2) = negate(add(negate(add(X1,add(negate(e),X2))),negate(add(d,add(X1,add(negate(e),X2)))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.686.2.0','0.68.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.2.1.2','L')]).
% 38.17/38.55 cnf('0.771.1.0',plain,
% 38.17/38.55 ( add(X1,X2) = negate(add(negate(add(X1,add(negate(e),X2))),negate(add(d,add(X1,add(negate(e),X2)))))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.771.0.0']),
% 38.17/38.55 [weight('<70,686,0,[1,0,0,12]>')]).
% 38.17/38.55 cnf('0.771.2.0',plain,
% 38.17/38.55 ( negate(add(negate(add(X1,add(negate(e),X2))),negate(add(d,add(X1,add(negate(e),X2)))))) = add(X1,X2) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.771.1.0',theory(equality)]),
% 38.17/38.55 [x,rule_756]).
% 38.17/38.55 cnf('0.842.0.0',plain,
% 38.17/38.55 ( X1 = negate(add(negate(add(X2,X1)),negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.35.2.0','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.1.1','L')]).
% 38.17/38.55 cnf('0.842.1.0',plain,
% 38.17/38.55 ( X1 = negate(add(negate(add(X2,X1)),negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.842.0.0']),
% 38.17/38.55 [weight('<71,35,5,[1,0,0,3]>')]).
% 38.17/38.55 cnf('0.842.2.0',plain,
% 38.17/38.55 ( negate(add(negate(add(X1,X2)),negate(add(X2,add(negate(add(X1,X3)),negate(add(X1,negate(X3)))))))) = X2 ),
% 38.17/38.55 inference(orient,[status(thm)],['0.842.1.0',theory(equality)]),
% 38.17/38.55 [x,rule_827]).
% 38.17/38.55 cnf('0.843.0.0',plain,
% 38.17/38.55 ( negate(e) = negate(add(negate(e),negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1)))))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.842.2.0','0.7.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.1','L')]).
% 38.17/38.55 cnf('0.843.1.0',plain,
% 38.17/38.55 ( negate(e) = negate(add(negate(e),negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1)))))))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.843.0.0']),
% 38.17/38.55 [weight('<62,842,7,[1,0,0,2]>')]).
% 38.17/38.55 cnf('0.843.2.0',plain,
% 38.17/38.55 ( negate(add(negate(e),negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1)))))))) = negate(e) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.843.1.0',theory(equality)]),
% 38.17/38.55 [x,rule_828]).
% 38.17/38.55 cnf('0.862.0.0',plain,
% 38.17/38.55 ( X1 = negate(add(negate(add(add(negate(add(X2,X3)),negate(add(X2,negate(X3)))),X1)),negate(add(X2,X1)))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.36.2.0','0.1.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.2.1.1','L')]).
% 38.17/38.55 cnf('0.862.0.1',plain,
% 38.17/38.55 ( X1 = negate(add(negate(add(negate(add(X2,X3)),add(negate(add(X2,negate(X3))),X1))),negate(add(X2,X1)))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.862.0.0','0.6.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.1.1','L')]).
% 38.17/38.55 cnf('0.862.1.0',plain,
% 38.17/38.55 ( X1 = negate(add(negate(add(negate(add(X2,X3)),add(negate(add(X2,negate(X3))),X1))),negate(add(X2,X1)))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.862.0.1']),
% 38.17/38.55 [weight('<71,36,1,[1,0,0,8]>')]).
% 38.17/38.55 cnf('0.862.1.1',plain,
% 38.17/38.55 ( X1 = negate(add(negate(add(X2,X1)),negate(add(negate(add(X2,X3)),add(negate(add(X2,negate(X3))),X1))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.862.1.0','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1','L')]).
% 38.17/38.55 cnf('0.862.2.0',plain,
% 38.17/38.55 ( negate(add(negate(add(X1,X2)),negate(add(negate(add(X1,X3)),add(negate(add(X1,negate(X3))),X2))))) = X2 ),
% 38.17/38.55 inference(orient,[status(thm)],['0.862.1.1',theory(equality)]),
% 38.17/38.55 [x,rule_847]).
% 38.17/38.55 cnf('0.923.0.0',plain,
% 38.17/38.55 ( negate(add(add(negate(d),add(negate(e),negate(e))),X1)) = negate(add(X1,negate(add(d,add(X1,negate(add(add(negate(d),add(negate(e),negate(e))),X1))))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.71.2.0','0.450.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.2.1.1','L')]).
% 38.17/38.55 cnf('0.923.0.1',plain,
% 38.17/38.55 ( negate(add(negate(d),add(add(negate(e),negate(e)),X1))) = negate(add(X1,negate(add(d,add(X1,negate(add(add(negate(d),add(negate(e),negate(e))),X1))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.923.0.0','0.6.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1','L')]).
% 38.17/38.55 cnf('0.923.0.2',plain,
% 38.17/38.55 ( negate(add(negate(d),add(negate(e),add(negate(e),X1)))) = negate(add(X1,negate(add(d,add(X1,negate(add(add(negate(d),add(negate(e),negate(e))),X1))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.923.0.1','0.6.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.2','L')]).
% 38.17/38.55 cnf('0.923.0.3',plain,
% 38.17/38.55 ( negate(add(negate(d),add(negate(e),add(negate(e),X1)))) = negate(add(X1,negate(add(d,add(X1,negate(add(negate(d),add(add(negate(e),negate(e)),X1)))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.923.0.2','0.6.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1.2.2.1','L')]).
% 38.17/38.55 cnf('0.923.0.4',plain,
% 38.17/38.55 ( negate(add(negate(d),add(negate(e),add(negate(e),X1)))) = negate(add(X1,negate(add(d,add(X1,negate(add(negate(d),add(negate(e),add(negate(e),X1))))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.923.0.3','0.6.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1.2.2.1.2','L')]).
% 38.17/38.55 cnf('0.923.1.0',plain,
% 38.17/38.55 ( negate(add(negate(d),add(negate(e),add(negate(e),X1)))) = negate(add(X1,negate(add(d,add(X1,negate(add(negate(d),add(negate(e),add(negate(e),X1))))))))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.923.0.4']),
% 38.17/38.55 [weight('<71,450,71,[0,0,0,5]>')]).
% 38.17/38.55 cnf('0.923.2.0',plain,
% 38.17/38.55 ( negate(add(X1,negate(add(d,add(X1,negate(add(negate(d),add(negate(e),add(negate(e),X1))))))))) = negate(add(negate(d),add(negate(e),add(negate(e),X1)))) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.923.1.0',theory(equality)]),
% 38.17/38.55 [x,rule_908]).
% 38.17/38.55 cnf('0.1171.0.0',plain,
% 38.17/38.55 ( negate(e) = negate(add(negate(add(negate(e),add(d,add(negate(add(negate(e),X1)),negate(add(negate(e),negate(X1))))))),d)) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.1.2.0','0.391.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.2','L')]).
% 38.17/38.55 cnf('0.1171.1.0',plain,
% 38.17/38.55 ( negate(e) = negate(add(negate(add(negate(e),add(d,add(negate(add(negate(e),X1)),negate(add(negate(e),negate(X1))))))),d)) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.1171.0.0']),
% 38.17/38.55 [weight('<73,391,1,[0,0,0,6]>')]).
% 38.17/38.55 cnf('0.1171.1.1',plain,
% 38.17/38.55 ( negate(e) = negate(add(d,negate(add(negate(e),add(d,add(negate(add(negate(e),X1)),negate(add(negate(e),negate(X1))))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.1171.1.0','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1','L')]).
% 38.17/38.55 cnf('0.1171.1.2',plain,
% 38.17/38.55 ( negate(e) = negate(add(d,negate(add(d,add(negate(e),add(negate(add(negate(e),X1)),negate(add(negate(e),negate(X1))))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.1171.1.1','0.68.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1','L')]).
% 38.17/38.55 cnf('0.1171.2.0',plain,
% 38.17/38.55 ( negate(add(d,negate(add(d,add(negate(e),add(negate(add(negate(e),X1)),negate(add(negate(e),negate(X1))))))))) = negate(e) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.1171.1.2',theory(equality)]),
% 38.17/38.55 [x,rule_1156]).
% 38.17/38.55 cnf('0.1462.0.0',plain,
% 38.17/38.55 ( d = negate(add(negate(e),negate(add(d,add(negate(add(add(negate(d),add(negate(e),negate(e))),negate(e))),negate(add(d,negate(e)))))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.448.2.0','0.450.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.2.1.2.2.1.1','L')]).
% 38.17/38.55 cnf('0.1462.0.1',plain,
% 38.17/38.55 ( d = negate(add(negate(e),negate(add(d,add(negate(add(negate(d),add(add(negate(e),negate(e)),negate(e)))),negate(add(d,negate(e)))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.1462.0.0','0.6.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1.2.1.1','L')]).
% 38.17/38.55 cnf('0.1462.0.2',plain,
% 38.17/38.55 ( d = negate(add(negate(e),negate(add(d,add(negate(add(negate(d),add(negate(e),add(negate(e),negate(e))))),negate(add(d,negate(e)))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.1462.0.1','0.6.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1.2.1.1.2','L')]).
% 38.17/38.55 cnf('0.1462.0.3',plain,
% 38.17/38.55 ( d = negate(add(negate(e),negate(add(d,add(negate(add(negate(d),add(negate(e),add(negate(e),negate(e))))),negate(e)))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.1462.0.2','0.7.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1.2.2','L')]).
% 38.17/38.55 cnf('0.1462.1.0',plain,
% 38.17/38.55 ( d = negate(add(negate(e),negate(add(d,add(negate(add(negate(d),add(negate(e),add(negate(e),negate(e))))),negate(e)))))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.1462.0.3']),
% 38.17/38.55 [weight('<74,450,448,[0,0,0,15]>')]).
% 38.17/38.55 cnf('0.1462.1.1',plain,
% 38.17/38.55 ( d = negate(add(negate(e),negate(add(d,add(negate(e),negate(add(negate(d),add(negate(e),add(negate(e),negate(e)))))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.1462.1.0','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1.2','L')]).
% 38.17/38.55 cnf('0.1462.1.2',plain,
% 38.17/38.55 ( d = negate(add(negate(d),add(negate(e),add(negate(e),negate(e))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.1462.1.1','0.923.2.0',theory(equality)]),
% 38.17/38.55 [pos('R','L')]).
% 38.17/38.55 cnf('0.1462.2.0',plain,
% 38.17/38.55 ( negate(add(negate(d),add(negate(e),add(negate(e),negate(e))))) = d ),
% 38.17/38.55 inference(orient,[status(thm)],['0.1462.1.2',theory(equality)]),
% 38.17/38.55 [x,rule_1447]).
% 38.17/38.55 cnf('0.2724.0.0',plain,
% 38.17/38.55 ( negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))) = negate(add(X1,negate(add(X2,add(negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))),X1))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.365.2.0','0.57.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.2.1','L')]).
% 38.17/38.55 cnf('0.2724.1.0',plain,
% 38.17/38.55 ( negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))) = negate(add(X1,negate(add(X2,add(negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))),X1))))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.2724.0.0']),
% 38.17/38.55 [weight('<81,365,57,[1,0,0,4]>')]).
% 38.17/38.55 cnf('0.2724.1.1',plain,
% 38.17/38.55 ( negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))) = negate(add(X1,negate(add(X2,add(X1,negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3))))))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.2724.1.0','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1.2','L')]).
% 38.17/38.55 cnf('0.2724.2.0',plain,
% 38.17/38.55 ( negate(add(X1,negate(add(X2,add(X1,negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3))))))))))) = negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.2724.1.1',theory(equality)]),
% 38.17/38.55 [x,rule_2707]).
% 38.17/38.55 cnf('0.4613.0.0',plain,
% 38.17/38.55 ( negate(e) = negate(add(d,negate(add(d,add(negate(e),add(negate(add(negate(e),add(d,negate(e)))),negate(add(negate(e),negate(e))))))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.1171.2.0','0.7.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.2.1.2.2.2.1.2','L')]).
% 38.17/38.55 cnf('0.4613.1.0',plain,
% 38.17/38.55 ( negate(e) = negate(add(d,negate(add(d,add(negate(e),add(negate(add(negate(e),add(d,negate(e)))),negate(add(negate(e),negate(e))))))))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.4613.0.0']),
% 38.17/38.55 [weight('<84,1171,7,[1,0,0,19]>')]).
% 38.17/38.55 cnf('0.4613.1.1',plain,
% 38.17/38.55 ( negate(e) = negate(add(d,negate(add(d,add(negate(e),add(negate(add(negate(e),negate(e))),negate(add(negate(e),add(d,negate(e)))))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.4613.1.0','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1.2.2','L')]).
% 38.17/38.55 cnf('0.4613.1.2',plain,
% 38.17/38.55 ( negate(e) = negate(add(d,negate(add(d,add(negate(e),add(negate(add(negate(e),negate(e))),negate(add(d,add(negate(e),negate(e)))))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.4613.1.1','0.68.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1.2.2.2.1','L')]).
% 38.17/38.55 cnf('0.4613.2.0',plain,
% 38.17/38.55 ( negate(add(d,negate(add(d,add(negate(e),add(negate(add(negate(e),negate(e))),negate(add(d,add(negate(e),negate(e)))))))))) = negate(e) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.4613.1.2',theory(equality)]),
% 38.17/38.55 [x,rule_4582]).
% 38.17/38.55 cnf('0.5174.0.0',plain,
% 38.17/38.55 ( negate(add(negate(d),add(negate(e),add(negate(X1),negate(add(d,negate(X1))))))) = negate(add(negate(add(X1,negate(add(negate(d),add(negate(e),add(negate(X1),negate(add(d,negate(X1))))))))),negate(add(d,negate(X1))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.36.2.0','0.339.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.2','L')]).
% 38.17/38.55 cnf('0.5174.1.0',plain,
% 38.17/38.55 ( negate(add(negate(d),add(negate(e),add(negate(X1),negate(add(d,negate(X1))))))) = negate(add(negate(add(X1,negate(add(negate(d),add(negate(e),add(negate(X1),negate(add(d,negate(X1))))))))),negate(add(d,negate(X1))))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5174.0.0']),
% 38.17/38.55 [weight('<85,339,36,[0,0,0,6]>')]).
% 38.17/38.55 cnf('0.5174.1.1',plain,
% 38.17/38.55 ( negate(add(negate(d),add(negate(e),add(negate(X1),negate(add(d,negate(X1))))))) = negate(add(negate(add(d,negate(X1))),negate(add(X1,negate(add(negate(d),add(negate(e),add(negate(X1),negate(add(d,negate(X1))))))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5174.1.0','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1','L')]).
% 38.17/38.55 cnf('0.5174.2.0',plain,
% 38.17/38.55 ( negate(add(negate(add(d,negate(X1))),negate(add(X1,negate(add(negate(d),add(negate(e),add(negate(X1),negate(add(d,negate(X1))))))))))) = negate(add(negate(d),add(negate(e),add(negate(X1),negate(add(d,negate(X1))))))) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5174.1.1',theory(equality)]),
% 38.17/38.55 [x,rule_5143]).
% 38.17/38.55 cnf('0.5175.0.0',plain,
% 38.17/38.55 ( negate(add(negate(d),add(negate(e),add(negate(add(negate(e),negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1)))))))),negate(add(d,negate(add(negate(e),negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1)))))))))))))) = negate(add(negate(add(d,negate(e))),negate(add(add(negate(e),negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1))))))),negate(add(negate(d),add(negate(e),add(negate(add(negate(e),negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1)))))))),negate(add(d,negate(add(negate(e),negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1)))))))))))))))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.5174.2.0','0.843.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.1.1.2','L')]).
% 38.17/38.55 cnf('0.5175.0.1',plain,
% 38.17/38.55 ( negate(add(negate(d),add(negate(e),add(negate(e),negate(add(d,negate(add(negate(e),negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1)))))))))))))) = negate(add(negate(add(d,negate(e))),negate(add(add(negate(e),negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1))))))),negate(add(negate(d),add(negate(e),add(negate(add(negate(e),negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1)))))))),negate(add(d,negate(add(negate(e),negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1)))))))))))))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5175.0.0','0.843.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.2.2.1','L')]).
% 38.17/38.55 cnf('0.5175.0.2',plain,
% 38.17/38.55 ( negate(add(negate(d),add(negate(e),add(negate(e),negate(add(d,negate(e))))))) = negate(add(negate(add(d,negate(e))),negate(add(add(negate(e),negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1))))))),negate(add(negate(d),add(negate(e),add(negate(add(negate(e),negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1)))))))),negate(add(d,negate(add(negate(e),negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1)))))))))))))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5175.0.1','0.843.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.2.2.2.1.2','L')]).
% 38.17/38.55 cnf('0.5175.0.3',plain,
% 38.17/38.55 ( negate(add(negate(d),add(negate(e),add(negate(e),negate(e))))) = negate(add(negate(add(d,negate(e))),negate(add(add(negate(e),negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1))))))),negate(add(negate(d),add(negate(e),add(negate(add(negate(e),negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1)))))))),negate(add(d,negate(add(negate(e),negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1)))))))))))))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5175.0.2','0.7.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.2.2.2','L')]).
% 38.17/38.55 cnf('0.5175.0.4',plain,
% 38.17/38.55 ( d = negate(add(negate(add(d,negate(e))),negate(add(add(negate(e),negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1))))))),negate(add(negate(d),add(negate(e),add(negate(add(negate(e),negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1)))))))),negate(add(d,negate(add(negate(e),negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1)))))))))))))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5175.0.3','0.1462.2.0',theory(equality)]),
% 38.17/38.55 [pos('L','L')]).
% 38.17/38.55 cnf('0.5175.0.5',plain,
% 38.17/38.55 ( d = negate(add(negate(e),negate(add(add(negate(e),negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1))))))),negate(add(negate(d),add(negate(e),add(negate(add(negate(e),negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1)))))))),negate(add(d,negate(add(negate(e),negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1)))))))))))))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5175.0.4','0.7.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.1','L')]).
% 38.17/38.55 cnf('0.5175.0.6',plain,
% 38.17/38.55 ( d = negate(add(negate(e),negate(add(negate(e),add(negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1)))))),negate(add(negate(d),add(negate(e),add(negate(add(negate(e),negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1)))))))),negate(add(d,negate(add(negate(e),negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1))))))))))))))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5175.0.5','0.6.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1','L')]).
% 38.17/38.55 cnf('0.5175.0.7',plain,
% 38.17/38.55 ( d = negate(add(negate(e),negate(add(negate(e),add(negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1)))))),negate(add(negate(d),add(negate(e),add(negate(e),negate(add(d,negate(add(negate(e),negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1))))))))))))))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5175.0.6','0.843.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1.2.2.1.2.2.1','L')]).
% 38.17/38.55 cnf('0.5175.0.8',plain,
% 38.17/38.55 ( d = negate(add(negate(e),negate(add(negate(e),add(negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1)))))),negate(add(negate(d),add(negate(e),add(negate(e),negate(add(d,negate(e)))))))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5175.0.7','0.843.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1.2.2.1.2.2.2.1.2','L')]).
% 38.17/38.55 cnf('0.5175.0.9',plain,
% 38.17/38.55 ( d = negate(add(negate(e),negate(add(negate(e),add(negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1)))))),negate(add(negate(d),add(negate(e),add(negate(e),negate(e)))))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5175.0.8','0.7.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1.2.2.1.2.2.2','L')]).
% 38.17/38.55 cnf('0.5175.0.10',plain,
% 38.17/38.55 ( d = negate(add(negate(e),negate(add(negate(e),add(negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1)))))),d))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5175.0.9','0.1462.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1.2.2','L')]).
% 38.17/38.55 cnf('0.5175.1.0',plain,
% 38.17/38.55 ( d = negate(add(negate(e),negate(add(negate(e),add(negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1)))))),d))))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5175.0.10']),
% 38.17/38.55 [weight('<84,5174,843,[1,0,0,5]>')]).
% 38.17/38.55 cnf('0.5175.1.1',plain,
% 38.17/38.55 ( d = negate(add(negate(e),negate(add(d,add(negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1)))))),negate(e)))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5175.1.0','0.87.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1','L')]).
% 38.17/38.55 cnf('0.5175.1.2',plain,
% 38.17/38.55 ( d = negate(add(negate(e),negate(add(d,add(negate(e),negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1))))))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5175.1.1','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1.2','L')]).
% 38.17/38.55 cnf('0.5175.1.3',plain,
% 38.17/38.55 ( d = negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1)))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5175.1.2','0.2724.2.0',theory(equality)]),
% 38.17/38.55 [pos('R','L')]).
% 38.17/38.55 cnf('0.5175.2.0',plain,
% 38.17/38.55 ( negate(add(negate(e),add(negate(add(d,X1)),negate(add(d,negate(X1)))))) = d ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5175.1.3',theory(equality)]),
% 38.17/38.55 [x,rule_5144]).
% 38.17/38.55 cnf('0.5187.0.0',plain,
% 38.17/38.55 ( add(negate(e),negate(add(d,X1))) = negate(add(negate(add(negate(e),add(negate(add(d,X1)),add(d,negate(X1))))),d)) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.46.2.0','0.5175.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.2','L')]).
% 38.17/38.55 cnf('0.5187.1.0',plain,
% 38.17/38.55 ( add(negate(e),negate(add(d,X1))) = negate(add(negate(add(negate(e),add(negate(add(d,X1)),add(d,negate(X1))))),d)) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5187.0.0']),
% 38.17/38.55 [weight('<60,5175,46,[0,0,0,8]>')]).
% 38.17/38.55 cnf('0.5187.1.1',plain,
% 38.17/38.55 ( add(negate(e),negate(add(d,X1))) = negate(add(d,negate(add(negate(e),add(negate(add(d,X1)),add(d,negate(X1))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5187.1.0','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1','L')]).
% 38.17/38.55 cnf('0.5187.1.2',plain,
% 38.17/38.55 ( add(negate(e),negate(add(d,X1))) = negate(add(d,negate(add(negate(e),add(negate(X1),add(d,negate(add(d,X1)))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5187.1.1','0.87.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1.2','L')]).
% 38.17/38.55 cnf('0.5187.1.3',plain,
% 38.17/38.55 ( add(negate(e),negate(add(d,X1))) = negate(add(d,negate(add(negate(e),add(d,add(negate(X1),negate(add(d,X1)))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5187.1.2','0.68.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1.2','L')]).
% 38.17/38.55 cnf('0.5187.1.4',plain,
% 38.17/38.55 ( add(negate(e),negate(add(d,X1))) = negate(add(d,negate(add(d,add(negate(e),add(negate(X1),negate(add(d,X1)))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5187.1.3','0.68.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1','L')]).
% 38.17/38.55 cnf('0.5187.2.0',plain,
% 38.17/38.55 ( negate(add(d,negate(add(d,add(negate(e),add(negate(X1),negate(add(d,X1)))))))) = add(negate(e),negate(add(d,X1))) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5187.1.4',theory(equality)]),
% 38.17/38.55 [x,rule_5156]).
% 38.17/38.55 cnf('0.5188.0.0',plain,
% 38.17/38.55 ( negate(add(d,negate(add(d,add(negate(e),add(negate(add(negate(e),negate(e))),negate(add(d,add(negate(e),negate(e)))))))))) = negate(e) ),
% 38.17/38.55 inference(interreduction_right,[status(thm)],['0.4613.2.0'])).
% 38.17/38.55 cnf('0.5188.0.1',plain,
% 38.17/38.55 ( add(negate(e),negate(add(d,add(negate(e),negate(e))))) = negate(e) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5188.0.0','0.5187.2.0',theory(equality)]),
% 38.17/38.55 [pos('L','L')]).
% 38.17/38.55 cnf('0.5188.1.0',plain,
% 38.17/38.55 ( add(negate(e),negate(add(d,add(negate(e),negate(e))))) = negate(e) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5188.0.1']),
% 38.17/38.55 [weight('<39,4613,5187,[0,0,0,0]>')]).
% 38.17/38.55 cnf('0.5188.2.0',plain,
% 38.17/38.55 ( add(negate(e),negate(add(d,add(negate(e),negate(e))))) = negate(e) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5188.1.0',theory(equality)]),
% 38.17/38.55 [u,rule_5157]).
% 38.17/38.55 cnf('0.5189.0.0',plain,
% 38.17/38.55 ( negate(add(d,add(negate(e),negate(e)))) = negate(add(negate(negate(e)),negate(add(d,add(negate(e),negate(add(d,add(negate(e),negate(e))))))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.84.2.0','0.5188.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.1.1','L')]).
% 38.17/38.55 cnf('0.5189.0.1',plain,
% 38.17/38.55 ( negate(add(d,add(negate(e),negate(e)))) = negate(add(negate(negate(e)),negate(add(d,negate(e))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5189.0.0','0.5188.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1.2','L')]).
% 38.17/38.55 cnf('0.5189.0.2',plain,
% 38.17/38.55 ( negate(add(d,add(negate(e),negate(e)))) = negate(add(negate(negate(e)),negate(e))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5189.0.1','0.7.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2','L')]).
% 38.17/38.55 cnf('0.5189.1.0',plain,
% 38.17/38.55 ( negate(add(d,add(negate(e),negate(e)))) = negate(add(negate(negate(e)),negate(e))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5189.0.2']),
% 38.17/38.55 [weight('<28,5188,84,[0,0,0,3]>')]).
% 38.17/38.55 cnf('0.5189.1.1',plain,
% 38.17/38.55 ( negate(add(d,add(negate(e),negate(e)))) = negate(add(negate(e),negate(negate(e)))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5189.1.0','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1','L')]).
% 38.17/38.55 cnf('0.5189.2.0',plain,
% 38.17/38.55 ( negate(add(d,add(negate(e),negate(e)))) = negate(add(negate(e),negate(negate(e)))) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5189.1.1',theory(equality)]),
% 38.17/38.55 [u,rule_5158]).
% 38.17/38.55 cnf('0.5190.0.0',plain,
% 38.17/38.55 ( add(d,negate(e)) = negate(add(negate(add(negate(e),negate(negate(e)))),negate(add(d,add(negate(e),negate(negate(e))))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.46.2.0','0.5189.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.1','L')]).
% 38.17/38.55 cnf('0.5190.0.1',plain,
% 38.17/38.55 ( add(d,negate(e)) = negate(negate(e)) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5190.0.0','0.84.2.0',theory(equality)]),
% 38.17/38.55 [pos('R','L')]).
% 38.17/38.55 cnf('0.5190.1.0',plain,
% 38.17/38.55 ( add(d,negate(e)) = negate(negate(e)) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5190.0.1']),
% 38.17/38.55 [weight('<16,5189,46,[0,0,0,2]>')]).
% 38.17/38.55 cnf('0.5190.2.0',plain,
% 38.17/38.55 ( add(d,negate(e)) = negate(negate(e)) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5190.1.0',theory(equality)]),
% 38.17/38.55 [u,rule_5159]).
% 38.17/38.55 cnf('0.5192.0.0',plain,
% 38.17/38.55 ( add(d,add(negate(e),X1)) = add(negate(negate(e)),X1) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.6.2.0','0.5190.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1','L')]).
% 38.17/38.55 cnf('0.5192.1.0',plain,
% 38.17/38.55 ( add(d,add(negate(e),X1)) = add(negate(negate(e)),X1) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5192.0.0']),
% 38.17/38.55 [weight('<26,5190,6,[0,0,0,1]>')]).
% 38.17/38.55 cnf('0.5192.2.0',plain,
% 38.17/38.55 ( add(d,add(negate(e),X1)) = add(negate(negate(e)),X1) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5192.1.0',theory(equality)]),
% 38.17/38.55 [u,rule_5161]).
% 38.17/38.55 cnf('0.5193.0.0',plain,
% 38.17/38.55 ( add(negate(e),add(X1,d)) = add(X1,negate(negate(e))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.57.2.0','0.5190.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.2','L')]).
% 38.17/38.55 cnf('0.5193.1.0',plain,
% 38.17/38.55 ( add(negate(e),add(X1,d)) = add(X1,negate(negate(e))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5193.0.0']),
% 38.17/38.55 [weight('<26,5190,57,[0,0,1,2]>')]).
% 38.17/38.55 cnf('0.5193.1.1',plain,
% 38.17/38.55 ( add(d,add(X1,negate(e))) = add(X1,negate(negate(e))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5193.1.0','0.87.2.0',theory(equality)]),
% 38.17/38.55 [pos('L','L')]).
% 38.17/38.55 cnf('0.5193.2.0',plain,
% 38.17/38.55 ( add(d,add(X1,negate(e))) = add(X1,negate(negate(e))) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5193.1.1',theory(equality)]),
% 38.17/38.55 [u,rule_5162]).
% 38.17/38.55 cnf('0.5195.0.0',plain,
% 38.17/38.55 ( negate(add(d,negate(add(d,add(negate(e),negate(e)))))) = add(negate(e),negate(e)) ),
% 38.17/38.55 inference(interreduction_right,[status(thm)],['0.451.2.0'])).
% 38.17/38.55 cnf('0.5195.0.1',plain,
% 38.17/38.55 ( negate(add(d,negate(add(negate(e),negate(negate(e)))))) = add(negate(e),negate(e)) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5195.0.0','0.5189.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.2','L')]).
% 38.17/38.55 cnf('0.5195.1.0',plain,
% 38.17/38.55 ( negate(add(d,negate(add(negate(e),negate(negate(e)))))) = add(negate(e),negate(e)) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5195.0.1']),
% 38.17/38.55 [weight('<30,451,5189,[0,0,0,0]>')]).
% 38.17/38.55 cnf('0.5195.2.0',plain,
% 38.17/38.55 ( negate(add(d,negate(add(negate(e),negate(negate(e)))))) = add(negate(e),negate(e)) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5195.1.0',theory(equality)]),
% 38.17/38.55 [u,rule_5164]).
% 38.17/38.55 cnf('0.5196.0.0',plain,
% 38.17/38.55 ( add(negate(e),negate(add(d,add(negate(e),negate(e))))) = negate(e) ),
% 38.17/38.55 inference(interreduction_right,[status(thm)],['0.5188.2.0'])).
% 38.17/38.55 cnf('0.5196.0.1',plain,
% 38.17/38.55 ( add(negate(e),negate(add(negate(e),negate(negate(e))))) = negate(e) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5196.0.0','0.5189.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.2','L')]).
% 38.17/38.55 cnf('0.5196.1.0',plain,
% 38.17/38.55 ( add(negate(e),negate(add(negate(e),negate(negate(e))))) = negate(e) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5196.0.1']),
% 38.17/38.55 [weight('<30,5188,5189,[0,0,0,0]>')]).
% 38.17/38.55 cnf('0.5196.2.0',plain,
% 38.17/38.55 ( add(negate(e),negate(add(negate(e),negate(negate(e))))) = negate(e) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5196.1.0',theory(equality)]),
% 38.17/38.55 [u,rule_5165]).
% 38.17/38.55 cnf('0.5197.0.0',plain,
% 38.17/38.55 ( add(X1,negate(add(negate(e),negate(negate(e))))) = negate(add(negate(add(X1,negate(e))),negate(add(d,add(X1,add(negate(e),negate(add(negate(e),negate(negate(e)))))))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.771.2.0','0.5196.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.1.1.2','L')]).
% 38.17/38.55 cnf('0.5197.0.1',plain,
% 38.17/38.55 ( add(X1,negate(add(negate(e),negate(negate(e))))) = negate(add(negate(add(X1,negate(e))),negate(add(d,add(X1,negate(e)))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5197.0.0','0.5196.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1.2.2','L')]).
% 38.17/38.55 cnf('0.5197.0.2',plain,
% 38.17/38.55 ( add(X1,negate(add(negate(e),negate(negate(e))))) = negate(add(negate(add(X1,negate(e))),negate(add(X1,negate(negate(e)))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5197.0.1','0.5193.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1','L')]).
% 38.17/38.55 cnf('0.5197.0.3',plain,
% 38.17/38.55 ( add(X1,negate(add(negate(e),negate(negate(e))))) = X1 ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5197.0.2','0.1.2.0',theory(equality)]),
% 38.17/38.55 [pos('R','L')]).
% 38.17/38.55 cnf('0.5197.1.0',plain,
% 38.17/38.55 ( add(X1,negate(add(negate(e),negate(negate(e))))) = X1 ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5197.0.3']),
% 38.17/38.55 [weight('<29,5196,771,[0,0,0,5]>')]).
% 38.17/38.55 cnf('0.5197.2.0',plain,
% 38.17/38.55 ( add(X1,negate(add(negate(e),negate(negate(e))))) = X1 ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5197.1.0',theory(equality)]),
% 38.17/38.55 [u,rule_5166]).
% 38.17/38.55 cnf('0.5198.0.0',plain,
% 38.17/38.55 ( negate(add(d,negate(add(negate(e),negate(negate(e)))))) = add(negate(e),negate(e)) ),
% 38.17/38.55 inference(interreduction_right,[status(thm)],['0.5195.2.0'])).
% 38.17/38.55 cnf('0.5198.0.1',plain,
% 38.17/38.55 ( negate(d) = add(negate(e),negate(e)) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5198.0.0','0.5197.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1','L')]).
% 38.17/38.55 cnf('0.5198.1.0',plain,
% 38.17/38.55 ( negate(d) = add(negate(e),negate(e)) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5198.0.1']),
% 38.17/38.55 [weight('<17,5195,5197,[0,0,0,0]>')]).
% 38.17/38.55 cnf('0.5198.2.0',plain,
% 38.17/38.55 ( add(negate(e),negate(e)) = negate(d) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5198.1.0',theory(equality)]),
% 38.17/38.55 [x,rule_5167]).
% 38.17/38.55 cnf('0.5199.0.0',plain,
% 38.17/38.55 ( negate(e) = negate(add(negate(negate(d)),negate(add(negate(e),negate(negate(e)))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.1.2.0','0.5198.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.1.1','L')]).
% 38.17/38.55 cnf('0.5199.0.1',plain,
% 38.17/38.55 ( negate(e) = negate(negate(negate(d))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5199.0.0','0.5197.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1','L')]).
% 38.17/38.55 cnf('0.5199.1.0',plain,
% 38.17/38.55 ( negate(e) = negate(negate(negate(d))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5199.0.1']),
% 38.17/38.55 [weight('<8,5198,1,[0,0,0,3]>')]).
% 38.17/38.55 cnf('0.5199.2.0',plain,
% 38.17/38.55 ( negate(negate(negate(d))) = negate(e) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5199.1.0',theory(equality)]),
% 38.17/38.55 [x,rule_5168]).
% 38.17/38.55 cnf('0.5200.0.0',plain,
% 38.17/38.55 ( negate(add(negate(d),add(negate(e),negate(e)))) = d ),
% 38.17/38.55 inference(interreduction_right,[status(thm)],['0.450.2.0'])).
% 38.17/38.55 cnf('0.5200.0.1',plain,
% 38.17/38.55 ( negate(add(negate(d),negate(d))) = d ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5200.0.0','0.5198.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.2','L')]).
% 38.17/38.55 cnf('0.5200.1.0',plain,
% 38.17/38.55 ( negate(add(negate(d),negate(d))) = d ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5200.0.1']),
% 38.17/38.55 [weight('<18,450,5198,[0,0,0,0]>')]).
% 38.17/38.55 cnf('0.5200.2.0',plain,
% 38.17/38.55 ( negate(add(negate(d),negate(d))) = d ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5200.1.0',theory(equality)]),
% 38.17/38.55 [u,rule_5169]).
% 38.17/38.55 cnf('0.5201.0.0',plain,
% 38.17/38.55 ( add(negate(negate(e)),negate(e)) = add(d,negate(d)) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.5192.2.0','0.5198.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.2','L')]).
% 38.17/38.55 cnf('0.5201.1.0',plain,
% 38.17/38.55 ( add(negate(negate(e)),negate(e)) = add(d,negate(d)) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5201.0.0']),
% 38.17/38.55 [weight('<18,5198,5192,[0,0,0,2]>')]).
% 38.17/38.55 cnf('0.5201.1.1',plain,
% 38.17/38.55 ( add(negate(e),negate(negate(e))) = add(d,negate(d)) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5201.1.0','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('L','L')]).
% 38.17/38.55 cnf('0.5201.2.0',plain,
% 38.17/38.55 ( add(negate(e),negate(negate(e))) = add(d,negate(d)) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5201.1.1',theory(equality)]),
% 38.17/38.55 [u,rule_5170]).
% 38.17/38.55 cnf('0.5203.0.0',plain,
% 38.17/38.55 ( add(X1,negate(add(negate(e),negate(negate(e))))) = X1 ),
% 38.17/38.55 inference(interreduction_right,[status(thm)],['0.5197.2.0'])).
% 38.17/38.55 cnf('0.5203.0.1',plain,
% 38.17/38.55 ( add(X1,negate(add(d,negate(d)))) = X1 ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5203.0.0','0.5201.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.2.1','L')]).
% 38.17/38.55 cnf('0.5203.1.0',plain,
% 38.17/38.55 ( add(X1,negate(add(d,negate(d)))) = X1 ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5203.0.1']),
% 38.17/38.55 [weight('<27,5197,5201,[0,0,0,0]>')]).
% 38.17/38.55 cnf('0.5203.2.0',plain,
% 38.17/38.55 ( add(X1,negate(add(d,negate(d)))) = X1 ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5203.1.0',theory(equality)]),
% 38.17/38.55 [u,rule_5172]).
% 38.17/38.55 cnf('0.5206.0.0',plain,
% 38.17/38.55 ( negate(add(d,negate(d))) = negate(add(negate(X1),negate(add(negate(add(X1,X2)),add(negate(add(X1,negate(X2))),negate(add(d,negate(d)))))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.862.2.0','0.5203.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.1.1','L')]).
% 38.17/38.55 cnf('0.5206.0.1',plain,
% 38.17/38.55 ( negate(add(d,negate(d))) = negate(add(negate(X1),negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5206.0.0','0.5203.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1.2','L')]).
% 38.17/38.55 cnf('0.5206.0.2',plain,
% 38.17/38.55 ( negate(add(d,negate(d))) = negate(add(negate(X1),X1)) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5206.0.1','0.1.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2','L')]).
% 38.17/38.55 cnf('0.5206.1.0',plain,
% 38.17/38.55 ( negate(add(d,negate(d))) = negate(add(negate(X1),X1)) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5206.0.2']),
% 38.17/38.55 [weight('<17,5203,862,[0,0,0,3]>')]).
% 38.17/38.55 cnf('0.5206.1.1',plain,
% 38.17/38.55 ( negate(add(d,negate(d))) = negate(add(X1,negate(X1))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5206.1.0','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1','L')]).
% 38.17/38.55 cnf('0.5206.2.0',plain,
% 38.17/38.55 ( negate(add(d,negate(d))) = negate(add(X1,negate(X1))) ),
% 38.17/38.55 inference(activate,[status(thm)],['0.5206.1.1']),
% 38.17/38.55 [equation_32]).
% 38.17/38.55 cnf('0.5206.2.1',plain,
% 38.17/38.55 ( negate(add(d,negate(d))) = negate(add(const2,negate(const2))) ),
% 38.17/38.55 inference(instr,[status(thm)],['0.5206.2.0',theory(equality)])).
% 38.17/38.55 cnf('0.5211.0.0',plain,
% 38.17/38.55 ( add(X1,negate(add(d,negate(d)))) = X1 ),
% 38.17/38.55 inference(interreduction_right,[status(thm)],['0.5203.2.0'])).
% 38.17/38.55 cnf('0.5211.1.0',plain,
% 38.17/38.55 ( add(X1,negate(add(d,negate(d)))) = X1 ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5211.0.0']),
% 38.17/38.55 [weight('<27,5203,5206,[0,0,0,0]>')]).
% 38.17/38.55 cnf('0.5211.1.1',plain,
% 38.17/38.55 ( add(X1,negate(add(const2,negate(const2)))) = X1 ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5211.1.0','0.5206.2.1',theory(equality)]),
% 38.17/38.55 [pos('L.2','L')]).
% 38.17/38.55 cnf('0.5211.2.0',plain,
% 38.17/38.55 ( add(X1,negate(add(const2,negate(const2)))) = X1 ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5211.1.1',theory(equality)]),
% 38.17/38.55 [u,rule_5179]).
% 38.17/38.55 cnf('0.5213.0.0',plain,
% 38.17/38.55 ( negate(add(const2,negate(const2))) = negate(add(negate(X1),negate(add(negate(add(X1,X2)),add(negate(add(X1,negate(X2))),negate(add(const2,negate(const2)))))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.862.2.0','0.5211.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.1.1','L')]).
% 38.17/38.55 cnf('0.5213.0.1',plain,
% 38.17/38.55 ( negate(add(const2,negate(const2))) = negate(add(negate(X1),negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5213.0.0','0.5211.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1.2','L')]).
% 38.17/38.55 cnf('0.5213.0.2',plain,
% 38.17/38.55 ( negate(add(const2,negate(const2))) = negate(add(negate(X1),X1)) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5213.0.1','0.1.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2','L')]).
% 38.17/38.55 cnf('0.5213.1.0',plain,
% 38.17/38.55 ( negate(add(const2,negate(const2))) = negate(add(negate(X1),X1)) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5213.0.2']),
% 38.17/38.55 [weight('<17,5211,862,[0,0,0,3]>')]).
% 38.17/38.55 cnf('0.5213.1.1',plain,
% 38.17/38.55 ( negate(add(const2,negate(const2))) = negate(add(X1,negate(X1))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5213.1.0','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1','L')]).
% 38.17/38.55 cnf('0.5213.2.0',plain,
% 38.17/38.55 ( negate(add(const2,negate(const2))) = negate(add(X1,negate(X1))) ),
% 38.17/38.55 inference(activate,[status(thm)],['0.5213.1.1']),
% 38.17/38.55 [equation_33]).
% 38.17/38.55 cnf('0.5213.2.1',plain,
% 38.17/38.55 ( negate(add(const2,negate(const2))) = negate(add(const2,negate(const2))) ),
% 38.17/38.55 inference(instr,[status(thm)],['0.5213.2.0',theory(equality)])).
% 38.17/38.55 cnf('0.5214.0.0',plain,
% 38.17/38.55 ( X1 = negate(add(negate(add(X1,X1)),negate(add(const2,negate(const2))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.1.2.0','0.5213.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.2','R')]).
% 38.17/38.55 cnf('0.5214.0.1',plain,
% 38.17/38.55 ( X1 = negate(negate(add(X1,X1))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5214.0.0','0.5211.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1','L')]).
% 38.17/38.55 cnf('0.5214.1.0',plain,
% 38.17/38.55 ( X1 = negate(negate(add(X1,X1))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5214.0.1']),
% 38.17/38.55 [weight('<17,5213,1,[0,1,0,6]>')]).
% 38.17/38.55 cnf('0.5214.2.0',plain,
% 38.17/38.55 ( negate(negate(add(X1,X1))) = X1 ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5214.1.0',theory(equality)]),
% 38.17/38.55 [x,rule_5181]).
% 38.17/38.55 cnf('0.5215.0.0',plain,
% 38.17/38.55 ( negate(negate(X1)) = negate(add(negate(add(X1,negate(negate(X1)))),negate(add(const2,negate(const2))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.36.2.0','0.5213.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.2','R')]).
% 38.17/38.55 cnf('0.5215.0.1',plain,
% 38.17/38.55 ( negate(negate(X1)) = negate(negate(add(X1,negate(negate(X1))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5215.0.0','0.5211.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1','L')]).
% 38.17/38.55 cnf('0.5215.1.0',plain,
% 38.17/38.55 ( negate(negate(X1)) = negate(negate(add(X1,negate(negate(X1))))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5215.0.1']),
% 38.17/38.55 [weight('<19,5213,36,[0,1,0,6]>')]).
% 38.17/38.55 cnf('0.5215.2.0',plain,
% 38.17/38.55 ( negate(negate(add(X1,negate(negate(X1))))) = negate(negate(X1)) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5215.1.0',theory(equality)]),
% 38.17/38.55 [x,rule_5182]).
% 38.17/38.55 cnf('0.5217.0.0',plain,
% 38.17/38.55 ( negate(negate(negate(d))) = negate(negate(add(negate(d),negate(e)))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.5215.2.0','0.5199.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.1.2','L')]).
% 38.17/38.55 cnf('0.5217.0.1',plain,
% 38.17/38.55 ( negate(e) = negate(negate(add(negate(d),negate(e)))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5217.0.0','0.5199.2.0',theory(equality)]),
% 38.17/38.55 [pos('L','L')]).
% 38.17/38.55 cnf('0.5217.0.2',plain,
% 38.17/38.55 ( negate(e) = negate(d) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5217.0.1','0.283.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1','L')]).
% 38.17/38.55 cnf('0.5217.1.0',plain,
% 38.17/38.55 ( negate(e) = negate(d) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5217.0.2']),
% 38.17/38.55 [weight('<6,5215,5199,[1,0,0,4]>')]).
% 38.17/38.55 cnf('0.5217.2.0',plain,
% 38.17/38.55 ( negate(e) = negate(d) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5217.1.0',theory(equality)]),
% 38.17/38.55 [u,rule_5184]).
% 38.17/38.55 cnf('0.5219.0.0',plain,
% 38.17/38.55 ( add(d,negate(e)) = negate(negate(e)) ),
% 38.17/38.55 inference(interreduction_right,[status(thm)],['0.5190.2.0'])).
% 38.17/38.55 cnf('0.5219.0.1',plain,
% 38.17/38.55 ( add(d,negate(d)) = negate(negate(e)) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5219.0.0','0.5217.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.2','L')]).
% 38.17/38.55 cnf('0.5219.0.2',plain,
% 38.17/38.55 ( add(d,negate(d)) = negate(negate(d)) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5219.0.1','0.5217.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1','L')]).
% 38.17/38.55 cnf('0.5219.1.0',plain,
% 38.17/38.55 ( add(d,negate(d)) = negate(negate(d)) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5219.0.2']),
% 38.17/38.55 [weight('<16,5190,5217,[0,0,0,0]>')]).
% 38.17/38.55 cnf('0.5219.2.0',plain,
% 38.17/38.55 ( add(d,negate(d)) = negate(negate(d)) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5219.1.0',theory(equality)]),
% 38.17/38.55 [u,rule_5186]).
% 38.17/38.55 cnf('0.5220.0.0',plain,
% 38.17/38.55 ( add(negate(e),negate(e)) = negate(d) ),
% 38.17/38.55 inference(interreduction_right,[status(thm)],['0.5198.2.0'])).
% 38.17/38.55 cnf('0.5220.0.1',plain,
% 38.17/38.55 ( add(negate(d),negate(e)) = negate(d) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5220.0.0','0.5217.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1','L')]).
% 38.17/38.55 cnf('0.5220.0.2',plain,
% 38.17/38.55 ( add(negate(d),negate(d)) = negate(d) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5220.0.1','0.5217.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.2','L')]).
% 38.17/38.55 cnf('0.5220.1.0',plain,
% 38.17/38.55 ( add(negate(d),negate(d)) = negate(d) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5220.0.2']),
% 38.17/38.55 [weight('<17,5198,5217,[0,0,0,0]>')]).
% 38.17/38.55 cnf('0.5220.2.0',plain,
% 38.17/38.55 ( add(negate(d),negate(d)) = negate(d) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5220.1.0',theory(equality)]),
% 38.17/38.55 [u,rule_5187]).
% 38.17/38.55 cnf('0.5221.0.0',plain,
% 38.17/38.55 ( negate(add(negate(d),negate(d))) = d ),
% 38.17/38.55 inference(interreduction_right,[status(thm)],['0.5200.2.0'])).
% 38.17/38.55 cnf('0.5221.0.1',plain,
% 38.17/38.55 ( negate(negate(d)) = d ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5221.0.0','0.5220.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1','L')]).
% 38.17/38.55 cnf('0.5221.1.0',plain,
% 38.17/38.55 ( negate(negate(d)) = d ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5221.0.1']),
% 38.17/38.55 [weight('<7,5200,5220,[0,0,0,0]>')]).
% 38.17/38.55 cnf('0.5221.2.0',plain,
% 38.17/38.55 ( negate(negate(d)) = d ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5221.1.0',theory(equality)]),
% 38.17/38.55 [u,rule_5188]).
% 38.17/38.55 cnf('0.5222.0.0',plain,
% 38.17/38.55 ( add(d,negate(d)) = negate(negate(d)) ),
% 38.17/38.55 inference(interreduction_right,[status(thm)],['0.5219.2.0'])).
% 38.17/38.55 cnf('0.5222.0.1',plain,
% 38.17/38.55 ( add(d,negate(d)) = d ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5222.0.0','0.5221.2.0',theory(equality)]),
% 38.17/38.55 [pos('R','L')]).
% 38.17/38.55 cnf('0.5222.1.0',plain,
% 38.17/38.55 ( add(d,negate(d)) = d ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5222.0.1']),
% 38.17/38.55 [weight('<16,5219,5221,[0,0,0,0]>')]).
% 38.17/38.55 cnf('0.5222.2.0',plain,
% 38.17/38.55 ( add(d,negate(d)) = d ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5222.1.0',theory(equality)]),
% 38.17/38.55 [u,rule_5189]).
% 38.17/38.55 cnf('0.5223.0.0',plain,
% 38.17/38.55 ( add(X1,negate(d)) = negate(add(negate(add(X1,d)),negate(add(X1,add(negate(d),negate(d)))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.180.2.0','0.5222.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.1.1.2','L')]).
% 38.17/38.55 cnf('0.5223.0.1',plain,
% 38.17/38.55 ( add(X1,negate(d)) = negate(add(negate(add(X1,d)),negate(add(X1,negate(d))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5223.0.0','0.5220.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1.2','L')]).
% 38.17/38.55 cnf('0.5223.0.2',plain,
% 38.17/38.55 ( add(X1,negate(d)) = X1 ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5223.0.1','0.1.2.0',theory(equality)]),
% 38.17/38.55 [pos('R','L')]).
% 38.17/38.55 cnf('0.5223.1.0',plain,
% 38.17/38.55 ( add(X1,negate(d)) = X1 ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5223.0.2']),
% 38.17/38.55 [weight('<16,5222,180,[0,0,0,5]>')]).
% 38.17/38.55 cnf('0.5223.2.0',plain,
% 38.17/38.55 ( add(X1,negate(d)) = X1 ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5223.1.0',theory(equality)]),
% 38.17/38.55 [u,rule_5190]).
% 38.17/38.55 cnf('0.5224.0.0',plain,
% 38.17/38.55 ( X1 = add(negate(d),X1) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.5223.2.0','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('L','L')]).
% 38.17/38.55 cnf('0.5224.1.0',plain,
% 38.17/38.55 ( X1 = add(negate(d),X1) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5224.0.0']),
% 38.17/38.55 [weight('<16,5223,5,[1,0,0,0]>')]).
% 38.17/38.55 cnf('0.5224.2.0',plain,
% 38.17/38.55 ( add(negate(d),X1) = X1 ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5224.1.0',theory(equality)]),
% 38.17/38.55 [x,rule_5191]).
% 38.17/38.55 cnf('0.5225.0.0',plain,
% 38.17/38.55 ( negate(add(negate(d),X1)) = negate(negate(add(negate(add(negate(d),X1)),negate(negate(add(negate(d),negate(X1))))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.13.2.0','0.5224.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1','L')]).
% 38.17/38.55 cnf('0.5225.0.1',plain,
% 38.17/38.55 ( negate(X1) = negate(negate(add(negate(add(negate(d),X1)),negate(negate(add(negate(d),negate(X1))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5225.0.0','0.5224.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1','L')]).
% 38.17/38.55 cnf('0.5225.0.2',plain,
% 38.17/38.55 ( negate(X1) = negate(negate(add(negate(X1),negate(negate(add(negate(d),negate(X1))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5225.0.1','0.5224.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.1.1.1','L')]).
% 38.17/38.55 cnf('0.5225.0.3',plain,
% 38.17/38.55 ( negate(X1) = negate(negate(add(negate(X1),negate(negate(negate(X1)))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5225.0.2','0.5224.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.1.2.1.1','L')]).
% 38.17/38.55 cnf('0.5225.0.4',plain,
% 38.17/38.55 ( negate(X1) = negate(negate(negate(X1))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5225.0.3','0.5215.2.0',theory(equality)]),
% 38.17/38.55 [pos('R','L')]).
% 38.17/38.55 cnf('0.5225.1.0',plain,
% 38.17/38.55 ( negate(X1) = negate(negate(negate(X1))) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5225.0.4']),
% 38.17/38.55 [weight('<8,5224,13,[0,0,0,1]>')]).
% 38.17/38.55 cnf('0.5225.2.0',plain,
% 38.17/38.55 ( negate(negate(negate(X1))) = negate(X1) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5225.1.0',theory(equality)]),
% 38.17/38.55 [x,rule_5192]).
% 38.17/38.55 cnf('0.5226.0.0',plain,
% 38.17/38.55 ( negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = negate(negate(X1)) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.5225.2.0','0.1.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.1','L')]).
% 38.17/38.55 cnf('0.5226.0.1',plain,
% 38.17/38.55 ( X1 = negate(negate(X1)) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5226.0.0','0.1.2.0',theory(equality)]),
% 38.17/38.55 [pos('L','L')]).
% 38.17/38.55 cnf('0.5226.1.0',plain,
% 38.17/38.55 ( X1 = negate(negate(X1)) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5226.0.1']),
% 38.17/38.55 [weight('<7,5225,1,[1,0,0,2]>')]).
% 38.17/38.55 cnf('0.5226.2.0',plain,
% 38.17/38.55 ( negate(negate(X1)) = X1 ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5226.1.0',theory(equality)]),
% 38.17/38.55 [x,rule_5193]).
% 38.17/38.55 cnf('0.5228.0.0',plain,
% 38.17/38.55 ( e = negate(negate(d)) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.5226.2.0','0.5217.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1','L')]).
% 38.17/38.55 cnf('0.5228.0.1',plain,
% 38.17/38.55 ( e = d ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5228.0.0','0.5226.2.0',theory(equality)]),
% 38.17/38.55 [pos('R','L')]).
% 38.17/38.55 cnf('0.5228.1.0',plain,
% 38.17/38.55 ( e = d ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5228.0.1']),
% 38.17/38.55 [weight('<5,5226,5217,[1,0,0,1]>')]).
% 38.17/38.55 cnf('0.5228.2.0',plain,
% 38.17/38.55 ( e = d ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5228.1.0',theory(equality)]),
% 38.17/38.55 [u,rule_5195]).
% 38.17/38.55 cnf('0.5229.0.0',plain,
% 38.17/38.55 ( negate(negate(add(X1,X1))) = X1 ),
% 38.17/38.55 inference(interreduction_right,[status(thm)],['0.5214.2.0'])).
% 38.17/38.55 cnf('0.5229.0.1',plain,
% 38.17/38.55 ( add(X1,X1) = X1 ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5229.0.0','0.5226.2.0',theory(equality)]),
% 38.17/38.55 [pos('L','L')]).
% 38.17/38.55 cnf('0.5229.1.0',plain,
% 38.17/38.55 ( add(X1,X1) = X1 ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5229.0.1']),
% 38.17/38.55 [weight('<15,5214,5226,[0,0,0,0]>')]).
% 38.17/38.55 cnf('0.5229.2.0',plain,
% 38.17/38.55 ( add(X1,X1) = X1 ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5229.1.0',theory(equality)]),
% 38.17/38.55 [u,rule_5196]).
% 38.17/38.55 cnf('0.5230.0.0',plain,
% 38.17/38.55 ( negate(d) = negate(add(negate(X1),negate(add(negate(add(X1,X2)),add(negate(add(X1,negate(X2))),negate(d)))))) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.862.2.0','0.5223.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1.1.1','L')]).
% 38.17/38.55 cnf('0.5230.0.1',plain,
% 38.17/38.55 ( negate(d) = negate(add(negate(X1),negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5230.0.0','0.5223.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2.1.2','L')]).
% 38.17/38.55 cnf('0.5230.0.2',plain,
% 38.17/38.55 ( negate(d) = negate(add(negate(X1),X1)) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5230.0.1','0.1.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1.2','L')]).
% 38.17/38.55 cnf('0.5230.1.0',plain,
% 38.17/38.55 ( negate(d) = negate(add(negate(X1),X1)) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5230.0.2']),
% 38.17/38.55 [weight('<17,5223,862,[0,0,0,3]>')]).
% 38.17/38.55 cnf('0.5230.1.1',plain,
% 38.17/38.55 ( negate(d) = negate(add(X1,negate(X1))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5230.1.0','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1','L')]).
% 38.17/38.55 cnf('0.5230.2.0',plain,
% 38.17/38.55 ( negate(add(X1,negate(X1))) = negate(d) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5230.1.1',theory(equality)]),
% 38.17/38.55 [x,rule_5197]).
% 38.17/38.55 cnf('0.5231.0.0',plain,
% 38.17/38.55 ( add(X1,negate(X1)) = negate(negate(d)) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.5226.2.0','0.5230.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1','L')]).
% 38.17/38.55 cnf('0.5231.0.1',plain,
% 38.17/38.55 ( add(X1,negate(X1)) = d ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5231.0.0','0.5226.2.0',theory(equality)]),
% 38.17/38.55 [pos('R','L')]).
% 38.17/38.55 cnf('0.5231.1.0',plain,
% 38.17/38.55 ( add(X1,negate(X1)) = d ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5231.0.1']),
% 38.17/38.55 [weight('<16,5230,5226,[0,0,0,1]>')]).
% 38.17/38.55 cnf('0.5231.2.0',plain,
% 38.17/38.55 ( add(X1,negate(X1)) = d ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5231.1.0',theory(equality)]),
% 38.17/38.55 [u,rule_5198]).
% 38.17/38.55 cnf('0.5232.0.0',plain,
% 38.17/38.55 ( add(X1,add(X1,X2)) = add(X1,X2) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.6.2.0','0.5229.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1','L')]).
% 38.17/38.55 cnf('0.5232.1.0',plain,
% 38.17/38.55 ( add(X1,add(X1,X2)) = add(X1,X2) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5232.0.0']),
% 38.17/38.55 [weight('<25,5229,6,[0,0,0,1]>')]).
% 38.17/38.55 cnf('0.5232.2.0',plain,
% 38.17/38.55 ( add(X1,add(X1,X2)) = add(X1,X2) ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5232.1.0',theory(equality)]),
% 38.17/38.55 [u,rule_5199]).
% 38.17/38.55 cnf('0.5233.0.0',plain,
% 38.17/38.55 ( add(X1,negate(X1)) = add(X1,d) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.5232.2.0','0.5231.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.2','L')]).
% 38.17/38.55 cnf('0.5233.0.1',plain,
% 38.17/38.55 ( d = add(X1,d) ),
% 38.17/38.55 inference(reduction,[status(thm)],['0.5233.0.0','0.5231.2.0',theory(equality)]),
% 38.17/38.55 [pos('L','L')]).
% 38.17/38.55 cnf('0.5233.1.0',plain,
% 38.17/38.55 ( d = add(X1,d) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5233.0.1']),
% 38.17/38.55 [weight('<15,5232,5231,[1,0,0,2]>')]).
% 38.17/38.55 cnf('0.5233.2.0',plain,
% 38.17/38.55 ( add(X1,d) = d ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5233.1.0',theory(equality)]),
% 38.17/38.55 [x,rule_5200]).
% 38.17/38.55 cnf('0.5234.0.0',plain,
% 38.17/38.55 ( d = add(d,X1) ),
% 38.17/38.55 inference(cp,[status(thm)],['0.5233.2.0','0.5.2.0',theory(equality)]),
% 38.17/38.55 [pos('L','L')]).
% 38.17/38.55 cnf('0.5234.1.0',plain,
% 38.17/38.55 ( d = add(d,X1) ),
% 38.17/38.55 inference(weigh,[status(thm)],['0.5234.0.0']),
% 38.17/38.55 [weight('<15,5233,5,[1,0,0,0]>')]).
% 38.17/38.55 cnf('0.5234.2.0',plain,
% 38.17/38.55 ( add(d,X1) = d ),
% 38.17/38.55 inference(orient,[status(thm)],['0.5234.1.0',theory(equality)]),
% 38.17/38.55 [x,rule_5201]).
% 38.17/38.55 cnf('1.0.0.0',conjecture,
% 38.17/38.55 ( add(e,multiply(successor(successor(one)),add(d,negate(add(d,negate(e)))))) = add(e,multiply(successor(one),add(d,negate(add(d,negate(e)))))) ),
% 38.17/38.55 file('/tmp/WALDMEISTER_14769_n023',conjecture_1)).
% 38.17/38.55 cnf('1.0.0.1',plain,
% 38.17/38.55 ( add(d,multiply(successor(successor(one)),add(d,negate(add(d,negate(e)))))) = add(e,multiply(successor(one),add(d,negate(add(d,negate(e)))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['1.0.0.0','0.5228.2.0',theory(equality)]),
% 38.17/38.55 [pos('L.1','L')]).
% 38.17/38.55 cnf('1.0.0.2',plain,
% 38.17/38.55 ( d = add(e,multiply(successor(one),add(d,negate(add(d,negate(e)))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['1.0.0.1','0.5234.2.0',theory(equality)]),
% 38.17/38.55 [pos('L','L')]).
% 38.17/38.55 cnf('1.0.0.3',plain,
% 38.17/38.55 ( d = add(d,multiply(successor(one),add(d,negate(add(d,negate(e)))))) ),
% 38.17/38.55 inference(reduction,[status(thm)],['1.0.0.2','0.5228.2.0',theory(equality)]),
% 38.17/38.55 [pos('R.1','L')]).
% 38.17/38.55 cnf('1.0.0.4',plain,
% 38.17/38.55 ( d = d ),
% 38.17/38.55 inference(reduction,[status(thm)],['1.0.0.3','0.5234.2.0',theory(equality)]),
% 38.17/38.55 [pos('R','L')]).
% 38.17/38.55 cnf('1.0.0.5',plain,
% 38.17/38.55 ( $true ),
% 38.17/38.55 inference(trivial,[status(thm)],['1.0.0.4',theory(equality)]),
% 38.17/38.55 [conjecture_1]).
% 38.17/38.55
% 38.17/38.55 Proved Goals:
% 38.17/38.55 No. 1: add(e,multiply(successor(successor(one)),add(d,negate(add(d,negate(e)))))) ?= add(e,multiply(successor(one),add(d,negate(add(d,negate(e)))))) joined, current: d = d
% 38.17/38.55 1 goal was specified, which was proved.
% 38.17/38.55 % SZS output end CNFRefutation
% 38.17/38.55 #END OF PROOF
% 38.17/38.55
% 38.17/38.55 Problem WALDMEISTER_14769_n023
% 38.17/38.55 CPs.gen 5763446
% 38.17/38.55 CPs.reexp 0
% 38.17/38.55 Select 29583
% 38.17/38.55 R 5201
% 38.17/38.55 E 33
% 38.17/38.55 vsize 15.0M
% 38.17/38.55 rss 10.3M
% 38.17/38.55 process.time 37.559s
% 38.17/38.55 wallclock.time 37.557s
% 38.17/38.55 status S
% 38.17/38.55
% 38.17/38.55
% 38.17/38.55 Waldmeister states: Goal proved.
% 38.17/38.55 % SZS status Unsatisfiable
%------------------------------------------------------------------------------