TSTP Solution File: RNG128-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : RNG128-1 : TPTP v8.1.0. Released v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n022.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 20:47:38 EDT 2022
% Result : Unsatisfiable 0.60s 1.01s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG128-1 : TPTP v8.1.0. Released v5.4.0.
% 0.03/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon May 30 10:06:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.60/1.01 ********************************************************************************
% 0.60/1.01 * W A L D M E I S T E R \| \ / \|/ *
% 0.60/1.01 * |/ | \/ | *
% 0.60/1.01 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.60/1.01 * A. Jaeger and B. Loechner | | *
% 0.60/1.01 * <waldmeister@informatik.uni-kl.de> | *
% 0.60/1.01 ********************************************************************************
% 0.60/1.01
% 0.60/1.01
% 0.60/1.01 Goals:
% 0.60/1.01 ------
% 0.60/1.01
% 0.60/1.01 ( 1) add(x0,x1) ?=? mult(x0,x1)
% 0.60/1.01
% 0.60/1.01 Detected structure: Orkus
% 0.60/1.01 ********************************************************************************
% 0.60/1.01 ****************************** COMPLETION - PROOF ******************************
% 0.60/1.01 ********************************************************************************
% 0.60/1.01
% 0.60/1.01 joined goal: 1 add(x0,x1) ?= mult(x0,x1) to mult(x0,x1)
% 0.60/1.01 goal joined
% 0.60/1.01 % SZS status Unsatisfiable
% 0.60/1.01 #START OF PROOF
% 0.60/1.01 % SZS output start CNFRefutation
% 0.60/1.01 cnf('0.1.0.0',axiom,
% 0.60/1.01 ( X1 = add(unit,add(X1,mult(X1,X1))) ),
% 0.60/1.01 file('/tmp/WALDMEISTER_3130_n022')).
% 0.60/1.01 cnf('0.1.1.0',plain,
% 0.60/1.01 ( X1 = add(unit,add(X1,mult(X1,X1))) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.60/1.01 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.60/1.01 cnf('0.1.2.0',plain,
% 0.60/1.01 ( add(unit,add(X1,mult(X1,X1))) = X1 ),
% 0.60/1.01 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.60/1.01 [x,rule_1]).
% 0.60/1.01 cnf('0.2.0.0',axiom,
% 0.60/1.01 ( X1 = add(zero,X1) ),
% 0.60/1.01 file('/tmp/WALDMEISTER_3130_n022')).
% 0.60/1.01 cnf('0.2.1.0',plain,
% 0.60/1.01 ( X1 = add(zero,X1) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.60/1.01 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.60/1.01 cnf('0.2.2.0',plain,
% 0.60/1.01 ( add(zero,X1) = X1 ),
% 0.60/1.01 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.60/1.01 [x,rule_2]).
% 0.60/1.01 cnf('0.3.0.0',axiom,
% 0.60/1.01 ( X1 = mult(X1,unit) ),
% 0.60/1.01 file('/tmp/WALDMEISTER_3130_n022')).
% 0.60/1.01 cnf('0.3.1.0',plain,
% 0.60/1.01 ( X1 = mult(X1,unit) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.60/1.01 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.60/1.01 cnf('0.3.2.0',plain,
% 0.60/1.01 ( mult(X1,unit) = X1 ),
% 0.60/1.01 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.60/1.01 [x,rule_3]).
% 0.60/1.01 cnf('0.4.0.0',axiom,
% 0.60/1.01 ( add(X1,X2) = add(X2,X1) ),
% 0.60/1.01 file('/tmp/WALDMEISTER_3130_n022')).
% 0.60/1.01 cnf('0.4.1.0',plain,
% 0.60/1.01 ( add(X1,X2) = add(X2,X1) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.60/1.01 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.60/1.01 cnf('0.4.2.0',plain,
% 0.60/1.01 ( add(X1,X2) = add(X2,X1) ),
% 0.60/1.01 inference(activate,[status(thm)],['0.4.1.0']),
% 0.60/1.01 [equation_1]).
% 0.60/1.01 cnf('0.5.0.0',axiom,
% 0.60/1.01 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 0.60/1.01 file('/tmp/WALDMEISTER_3130_n022')).
% 0.60/1.01 cnf('0.5.1.0',plain,
% 0.60/1.01 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.60/1.01 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.60/1.01 cnf('0.5.2.0',plain,
% 0.60/1.01 ( add(add(X1,X2),X3) = add(X1,add(X2,X3)) ),
% 0.60/1.01 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.60/1.01 [x,rule_4]).
% 0.60/1.01 cnf('0.6.0.0',axiom,
% 0.60/1.01 ( add(mult(X1,X2),mult(X1,X3)) = mult(X1,add(X2,X3)) ),
% 0.60/1.01 file('/tmp/WALDMEISTER_3130_n022')).
% 0.60/1.01 cnf('0.6.1.0',plain,
% 0.60/1.01 ( add(mult(X1,X2),mult(X1,X3)) = mult(X1,add(X2,X3)) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.60/1.01 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.60/1.01 cnf('0.6.2.0',plain,
% 0.60/1.01 ( add(mult(X1,X2),mult(X1,X3)) = mult(X1,add(X2,X3)) ),
% 0.60/1.01 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.60/1.01 [u,rule_5]).
% 0.60/1.01 cnf('0.7.0.0',axiom,
% 0.60/1.01 ( mult(X1,X2) = mult(X2,X1) ),
% 0.60/1.01 file('/tmp/WALDMEISTER_3130_n022')).
% 0.60/1.01 cnf('0.7.1.0',plain,
% 0.60/1.01 ( mult(X1,X2) = mult(X2,X1) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.60/1.01 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.60/1.01 cnf('0.7.2.0',plain,
% 0.60/1.01 ( mult(X1,X2) = mult(X2,X1) ),
% 0.60/1.01 inference(activate,[status(thm)],['0.7.1.0']),
% 0.60/1.01 [equation_2]).
% 0.60/1.01 cnf('0.8.0.0',plain,
% 0.60/1.01 ( add(X1,zero) = X1 ),
% 0.60/1.01 inference(cp,[status(thm)],['0.4.2.0','0.2.2.0',theory(equality)]),
% 0.60/1.01 [pos('L','L')]).
% 0.60/1.01 cnf('0.8.1.0',plain,
% 0.60/1.01 ( add(X1,zero) = X1 ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.60/1.01 [weight('<19,4,2,[1,0,0,0]>')]).
% 0.60/1.01 cnf('0.8.2.0',plain,
% 0.60/1.01 ( add(X1,zero) = X1 ),
% 0.60/1.01 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.60/1.01 [u,rule_6]).
% 0.60/1.01 cnf('0.10.0.0',plain,
% 0.60/1.01 ( zero = add(unit,mult(zero,zero)) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.1.2.0','0.2.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.2','L')]).
% 0.60/1.01 cnf('0.10.1.0',plain,
% 0.60/1.01 ( zero = add(unit,mult(zero,zero)) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.60/1.01 [weight('<41,2,1,[0,0,0,2]>')]).
% 0.60/1.01 cnf('0.10.2.0',plain,
% 0.60/1.01 ( add(unit,mult(zero,zero)) = zero ),
% 0.60/1.01 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.60/1.01 [x,rule_8]).
% 0.60/1.01 cnf('0.12.0.0',plain,
% 0.60/1.01 ( mult(X1,add(unit,X2)) = add(X1,mult(X1,X2)) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.6.2.0','0.3.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.1','L')]).
% 0.60/1.01 cnf('0.12.1.0',plain,
% 0.60/1.01 ( mult(X1,add(unit,X2)) = add(X1,mult(X1,X2)) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.60/1.01 [weight('<65,6,3,[1,0,0,1]>')]).
% 0.60/1.01 cnf('0.12.2.0',plain,
% 0.60/1.01 ( add(X1,mult(X1,X2)) = mult(X1,add(unit,X2)) ),
% 0.60/1.01 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.60/1.01 [x,rule_10]).
% 0.60/1.01 cnf('0.13.0.0',plain,
% 0.60/1.01 ( mult(zero,add(unit,X1)) = mult(zero,X1) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.12.2.0','0.2.2.0',theory(equality)]),
% 0.60/1.01 [pos('L','L')]).
% 0.60/1.01 cnf('0.13.1.0',plain,
% 0.60/1.01 ( mult(zero,add(unit,X1)) = mult(zero,X1) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.60/1.01 [weight('<53,12,2,[1,0,0,0]>')]).
% 0.60/1.01 cnf('0.13.2.0',plain,
% 0.60/1.01 ( mult(zero,add(unit,X1)) = mult(zero,X1) ),
% 0.60/1.01 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.60/1.01 [u,rule_11]).
% 0.60/1.01 cnf('0.14.0.0',plain,
% 0.60/1.01 ( mult(zero,zero) = mult(zero,unit) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.13.2.0','0.8.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.2','L')]).
% 0.60/1.01 cnf('0.14.0.1',plain,
% 0.60/1.01 ( mult(zero,zero) = zero ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.14.0.0','0.3.2.0',theory(equality)]),
% 0.60/1.01 [pos('R','L')]).
% 0.60/1.01 cnf('0.14.1.0',plain,
% 0.60/1.01 ( mult(zero,zero) = zero ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.14.0.1']),
% 0.60/1.01 [weight('<19,13,8,[1,0,0,2]>')]).
% 0.60/1.01 cnf('0.14.2.0',plain,
% 0.60/1.01 ( mult(zero,zero) = zero ),
% 0.60/1.01 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.60/1.01 [u,rule_12]).
% 0.60/1.01 cnf('0.15.0.0',plain,
% 0.60/1.01 ( add(unit,mult(zero,zero)) = zero ),
% 0.60/1.01 inference(interreduction_right,[status(thm)],['0.10.2.0'])).
% 0.60/1.01 cnf('0.15.0.1',plain,
% 0.60/1.01 ( add(unit,zero) = zero ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.15.0.0','0.14.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.2','L')]).
% 0.60/1.01 cnf('0.15.0.2',plain,
% 0.60/1.01 ( unit = zero ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.15.0.1','0.8.2.0',theory(equality)]),
% 0.60/1.01 [pos('L','L')]).
% 0.60/1.01 cnf('0.15.1.0',plain,
% 0.60/1.01 ( unit = zero ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.15.0.2']),
% 0.60/1.01 [weight('<5,10,14,[0,0,0,0]>')]).
% 0.60/1.01 cnf('0.15.2.0',plain,
% 0.60/1.01 ( unit = zero ),
% 0.60/1.01 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.60/1.01 [u,rule_13]).
% 0.60/1.01 cnf('0.16.0.0',plain,
% 0.60/1.01 ( mult(X1,unit) = X1 ),
% 0.60/1.01 inference(interreduction_right,[status(thm)],['0.3.2.0'])).
% 0.60/1.01 cnf('0.16.0.1',plain,
% 0.60/1.01 ( mult(X1,zero) = X1 ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.16.0.0','0.15.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.2','L')]).
% 0.60/1.01 cnf('0.16.1.0',plain,
% 0.60/1.01 ( mult(X1,zero) = X1 ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.16.0.1']),
% 0.60/1.01 [weight('<19,3,15,[0,0,0,0]>')]).
% 0.60/1.01 cnf('0.16.2.0',plain,
% 0.60/1.01 ( mult(X1,zero) = X1 ),
% 0.60/1.01 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.60/1.01 [u,rule_14]).
% 0.60/1.01 cnf('0.18.0.0',plain,
% 0.60/1.01 ( add(X1,mult(X1,X2)) = mult(X1,add(unit,X2)) ),
% 0.60/1.01 inference(interreduction_right,[status(thm)],['0.12.2.0'])).
% 0.60/1.01 cnf('0.18.0.1',plain,
% 0.60/1.01 ( add(X1,mult(X1,X2)) = mult(X1,add(zero,X2)) ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.18.0.0','0.15.2.0',theory(equality)]),
% 0.60/1.01 [pos('R.2.1','L')]).
% 0.60/1.01 cnf('0.18.0.2',plain,
% 0.60/1.01 ( add(X1,mult(X1,X2)) = mult(X1,X2) ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.18.0.1','0.2.2.0',theory(equality)]),
% 0.60/1.01 [pos('R.2','L')]).
% 0.60/1.01 cnf('0.18.1.0',plain,
% 0.60/1.01 ( add(X1,mult(X1,X2)) = mult(X1,X2) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.18.0.2']),
% 0.60/1.01 [weight('<53,12,15,[0,0,0,0]>')]).
% 0.60/1.01 cnf('0.18.2.0',plain,
% 0.60/1.01 ( add(X1,mult(X1,X2)) = mult(X1,X2) ),
% 0.60/1.01 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.60/1.01 [u,rule_16]).
% 0.60/1.01 cnf('0.19.0.0',plain,
% 0.60/1.01 ( mult(X1,zero) = add(X1,X1) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.18.2.0','0.16.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.2','L')]).
% 0.60/1.01 cnf('0.19.0.1',plain,
% 0.60/1.01 ( X1 = add(X1,X1) ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.19.0.0','0.16.2.0',theory(equality)]),
% 0.60/1.01 [pos('L','L')]).
% 0.60/1.01 cnf('0.19.1.0',plain,
% 0.60/1.01 ( X1 = add(X1,X1) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.19.0.1']),
% 0.60/1.01 [weight('<19,18,16,[1,0,0,2]>')]).
% 0.60/1.01 cnf('0.19.2.0',plain,
% 0.60/1.01 ( add(X1,X1) = X1 ),
% 0.60/1.01 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.60/1.01 [x,rule_17]).
% 0.60/1.01 cnf('0.21.0.0',plain,
% 0.60/1.01 ( add(X1,add(X1,X2)) = add(X1,X2) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.5.2.0','0.19.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.1','L')]).
% 0.60/1.01 cnf('0.21.1.0',plain,
% 0.60/1.01 ( add(X1,add(X1,X2)) = add(X1,X2) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.21.0.0']),
% 0.60/1.01 [weight('<53,19,5,[0,0,0,1]>')]).
% 0.60/1.01 cnf('0.21.2.0',plain,
% 0.60/1.01 ( add(X1,add(X1,X2)) = add(X1,X2) ),
% 0.60/1.01 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.60/1.01 [u,rule_19]).
% 0.60/1.01 cnf('0.23.0.0',plain,
% 0.60/1.01 ( add(unit,add(X1,mult(X1,X1))) = X1 ),
% 0.60/1.01 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.60/1.01 cnf('0.23.0.1',plain,
% 0.60/1.01 ( add(unit,mult(X1,add(unit,X1))) = X1 ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.23.0.0','0.12.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.2','L')]).
% 0.60/1.01 cnf('0.23.1.0',plain,
% 0.60/1.01 ( add(unit,mult(X1,add(unit,X1))) = X1 ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.23.0.1']),
% 0.60/1.01 [weight('<71,1,12,[0,0,0,0]>')]).
% 0.60/1.01 cnf('0.23.1.1',plain,
% 0.60/1.01 ( add(zero,mult(X1,add(unit,X1))) = X1 ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.23.1.0','0.15.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.1','L')]).
% 0.60/1.01 cnf('0.23.1.2',plain,
% 0.60/1.01 ( mult(X1,add(unit,X1)) = X1 ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.23.1.1','0.2.2.0',theory(equality)]),
% 0.60/1.01 [pos('L','L')]).
% 0.60/1.01 cnf('0.23.1.3',plain,
% 0.60/1.01 ( mult(X1,add(zero,X1)) = X1 ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.23.1.2','0.15.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.2.1','L')]).
% 0.60/1.01 cnf('0.23.1.4',plain,
% 0.60/1.01 ( mult(X1,X1) = X1 ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.23.1.3','0.2.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.2','L')]).
% 0.60/1.01 cnf('0.23.2.0',plain,
% 0.60/1.01 ( mult(X1,X1) = X1 ),
% 0.60/1.01 inference(orient,[status(thm)],['0.23.1.4',theory(equality)]),
% 0.60/1.01 [u,rule_21]).
% 0.60/1.01 cnf('0.24.0.0',plain,
% 0.60/1.01 ( mult(X1,add(X1,X2)) = add(X1,mult(X1,X2)) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.6.2.0','0.23.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.1','L')]).
% 0.60/1.01 cnf('0.24.0.1',plain,
% 0.60/1.01 ( mult(X1,add(X1,X2)) = mult(X1,X2) ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.24.0.0','0.18.2.0',theory(equality)]),
% 0.60/1.01 [pos('R','L')]).
% 0.60/1.01 cnf('0.24.1.0',plain,
% 0.60/1.01 ( mult(X1,add(X1,X2)) = mult(X1,X2) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.24.0.1']),
% 0.60/1.01 [weight('<53,23,6,[0,0,0,1]>')]).
% 0.60/1.01 cnf('0.24.2.0',plain,
% 0.60/1.01 ( mult(X1,add(X1,X2)) = mult(X1,X2) ),
% 0.60/1.01 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.60/1.01 [u,rule_22]).
% 0.60/1.01 cnf('0.25.0.0',plain,
% 0.60/1.01 ( mult(X1,X2) = mult(X1,add(X2,X1)) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.24.2.0','0.4.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.2','L')]).
% 0.60/1.01 cnf('0.25.1.0',plain,
% 0.60/1.01 ( mult(X1,X2) = mult(X1,add(X2,X1)) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.60/1.01 [weight('<53,24,4,[1,0,0,2]>')]).
% 0.60/1.01 cnf('0.25.2.0',plain,
% 0.60/1.01 ( mult(X1,add(X2,X1)) = mult(X1,X2) ),
% 0.60/1.01 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.60/1.01 [x,rule_23]).
% 0.60/1.01 cnf('0.27.0.0',plain,
% 0.60/1.01 ( mult(add(X1,X2),X1) = mult(add(X1,X2),add(X1,X2)) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.25.2.0','0.21.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.2','L')]).
% 0.60/1.01 cnf('0.27.0.1',plain,
% 0.60/1.01 ( mult(add(X1,X2),X1) = add(X1,X2) ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.27.0.0','0.23.2.0',theory(equality)]),
% 0.60/1.01 [pos('R','L')]).
% 0.60/1.01 cnf('0.27.1.0',plain,
% 0.60/1.01 ( mult(add(X1,X2),X1) = add(X1,X2) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.27.0.1']),
% 0.60/1.01 [weight('<53,25,21,[1,0,0,2]>')]).
% 0.60/1.01 cnf('0.27.1.1',plain,
% 0.60/1.01 ( mult(X1,add(X1,X2)) = add(X1,X2) ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.27.1.0','0.7.2.0',theory(equality)]),
% 0.60/1.01 [pos('L','L')]).
% 0.60/1.01 cnf('0.27.1.2',plain,
% 0.60/1.01 ( mult(X1,X2) = add(X1,X2) ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.27.1.1','0.24.2.0',theory(equality)]),
% 0.60/1.01 [pos('L','L')]).
% 0.60/1.01 cnf('0.27.2.0',plain,
% 0.60/1.01 ( add(X1,X2) = mult(X1,X2) ),
% 0.60/1.01 inference(orient,[status(thm)],['0.27.1.2',theory(equality)]),
% 0.60/1.01 [x,rule_25]).
% 0.60/1.01 cnf('1.0.0.0',conjecture,
% 0.60/1.01 ( add(x0,x1) = mult(x0,x1) ),
% 0.60/1.01 file('/tmp/WALDMEISTER_3130_n022',conjecture_1)).
% 0.60/1.01 cnf('1.0.0.1',plain,
% 0.60/1.01 ( mult(x0,x1) = mult(x0,x1) ),
% 0.60/1.01 inference(reduction,[status(thm)],['1.0.0.0','0.27.2.0',theory(equality)]),
% 0.60/1.01 [pos('L','L')]).
% 0.60/1.01 cnf('1.0.0.2',plain,
% 0.60/1.01 ( $true ),
% 0.60/1.01 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.60/1.01 [conjecture_1]).
% 0.60/1.01
% 0.60/1.01 Proved Goals:
% 0.60/1.01 No. 1: add(x0,x1) ?= mult(x0,x1) joined, current: mult(x0,x1) = mult(x0,x1)
% 0.60/1.01 1 goal was specified, which was proved.
% 0.60/1.01 % SZS output end CNFRefutation
% 0.60/1.01 #END OF PROOF
% 0.60/1.01
% 0.60/1.01 Problem WALDMEISTER_3130_n022
% 0.60/1.01 CPs.gen 154
% 0.60/1.01 CPs.reexp 0
% 0.60/1.01 Select 36
% 0.60/1.01 R 25
% 0.60/1.01 E 2
% 0.60/1.01 vsize 6.5M
% 0.60/1.01 rss 3.8M
% 0.60/1.01 process.time 0.003s
% 0.60/1.01 wallclock.time 0.003s
% 0.60/1.01 status S
% 0.60/1.01
% 0.60/1.01
% 0.60/1.01 Waldmeister states: Goal proved.
% 0.60/1.01 % SZS status Unsatisfiable
%------------------------------------------------------------------------------