TSTP Solution File: BOO004-2 by Waldmeister---710
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : BOO004-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n027.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 : Thu Jul 14 23:52:46 EDT 2022
% Result : Unsatisfiable 0.54s 0.96s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO004-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n027.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 : Wed Jun 1 22:30:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.54/0.95 ********************************************************************************
% 0.54/0.95 * W A L D M E I S T E R \| \ / \|/ *
% 0.54/0.95 * |/ | \/ | *
% 0.54/0.95 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.54/0.95 * A. Jaeger and B. Loechner | | *
% 0.54/0.95 * <waldmeister@informatik.uni-kl.de> | *
% 0.54/0.95 ********************************************************************************
% 0.54/0.95
% 0.54/0.95
% 0.54/0.95 Goals:
% 0.54/0.95 ------
% 0.54/0.95
% 0.54/0.95 ( 1) add(a,a) ?=? a
% 0.54/0.95
% 0.54/0.95 Detected structure: BoolescheAlgebra
% 0.54/0.95 ********************************************************************************
% 0.54/0.95 ****************************** COMPLETION - PROOF ******************************
% 0.54/0.95 ********************************************************************************
% 0.54/0.95
% 0.54/0.96 joined goal: 1 add(a,a) ?= a to a
% 0.54/0.96 goal joined
% 0.54/0.96 % SZS status Unsatisfiable
% 0.54/0.96 #START OF PROOF
% 0.54/0.96 % SZS output start CNFRefutation
% 0.54/0.96 cnf('0.1.0.0',axiom,
% 0.54/0.96 ( X1 = multiply(X1,multiplicative_identity) ),
% 0.54/0.96 file('/tmp/WALDMEISTER_31694_n027')).
% 0.54/0.96 cnf('0.1.1.0',plain,
% 0.54/0.96 ( X1 = multiply(X1,multiplicative_identity) ),
% 0.54/0.96 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.54/0.96 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.54/0.96 cnf('0.1.2.0',plain,
% 0.54/0.96 ( multiply(X1,multiplicative_identity) = X1 ),
% 0.54/0.96 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.54/0.96 [x,rule_1]).
% 0.54/0.96 cnf('0.3.0.0',axiom,
% 0.54/0.96 ( X1 = add(X1,additive_identity) ),
% 0.54/0.96 file('/tmp/WALDMEISTER_31694_n027')).
% 0.54/0.96 cnf('0.3.1.0',plain,
% 0.54/0.96 ( X1 = add(X1,additive_identity) ),
% 0.54/0.96 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.54/0.96 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.54/0.96 cnf('0.3.2.0',plain,
% 0.54/0.96 ( add(X1,additive_identity) = X1 ),
% 0.54/0.96 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.54/0.96 [x,rule_3]).
% 0.54/0.96 cnf('0.4.0.0',axiom,
% 0.54/0.96 ( X1 = add(additive_identity,X1) ),
% 0.54/0.96 file('/tmp/WALDMEISTER_31694_n027')).
% 0.54/0.96 cnf('0.4.1.0',plain,
% 0.54/0.96 ( X1 = add(additive_identity,X1) ),
% 0.54/0.96 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.54/0.96 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.54/0.96 cnf('0.4.2.0',plain,
% 0.54/0.96 ( add(additive_identity,X1) = X1 ),
% 0.54/0.96 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.54/0.96 [x,rule_4]).
% 0.54/0.96 cnf('0.5.0.0',axiom,
% 0.54/0.96 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.54/0.96 file('/tmp/WALDMEISTER_31694_n027')).
% 0.54/0.96 cnf('0.5.1.0',plain,
% 0.54/0.96 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.54/0.96 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.54/0.96 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.54/0.96 cnf('0.5.2.0',plain,
% 0.54/0.96 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.54/0.96 inference(activate,[status(thm)],['0.5.1.0']),
% 0.54/0.96 [equation_1]).
% 0.54/0.96 cnf('0.6.0.0',axiom,
% 0.54/0.96 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 0.54/0.96 file('/tmp/WALDMEISTER_31694_n027')).
% 0.54/0.96 cnf('0.6.1.0',plain,
% 0.54/0.96 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 0.54/0.96 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.54/0.96 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.54/0.96 cnf('0.6.2.0',plain,
% 0.54/0.96 ( add(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,add(X2,X3)) ),
% 0.54/0.96 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.54/0.96 [x,rule_5]).
% 0.54/0.96 cnf('0.7.0.0',axiom,
% 0.54/0.96 ( multiply(X1,inverse(X1)) = additive_identity ),
% 0.54/0.96 file('/tmp/WALDMEISTER_31694_n027')).
% 0.54/0.96 cnf('0.7.1.0',plain,
% 0.54/0.96 ( multiply(X1,inverse(X1)) = additive_identity ),
% 0.54/0.96 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.54/0.96 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.54/0.96 cnf('0.7.2.0',plain,
% 0.54/0.96 ( multiply(X1,inverse(X1)) = additive_identity ),
% 0.54/0.96 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.54/0.96 [u,rule_6]).
% 0.54/0.96 cnf('0.9.0.0',axiom,
% 0.54/0.96 ( multiply(add(X1,X2),add(X3,X2)) = add(multiply(X1,X3),X2) ),
% 0.54/0.96 file('/tmp/WALDMEISTER_31694_n027')).
% 0.54/0.96 cnf('0.9.1.0',plain,
% 0.54/0.96 ( multiply(add(X1,X2),add(X3,X2)) = add(multiply(X1,X3),X2) ),
% 0.54/0.96 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.54/0.96 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.54/0.96 cnf('0.9.2.0',plain,
% 0.54/0.96 ( multiply(add(X1,X2),add(X3,X2)) = add(multiply(X1,X3),X2) ),
% 0.54/0.96 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.54/0.96 [u,rule_8]).
% 0.54/0.96 cnf('0.10.0.0',axiom,
% 0.54/0.96 ( multiply(add(X1,X2),add(X1,X3)) = add(X1,multiply(X2,X3)) ),
% 0.54/0.96 file('/tmp/WALDMEISTER_31694_n027')).
% 0.54/0.96 cnf('0.10.1.0',plain,
% 0.54/0.96 ( multiply(add(X1,X2),add(X1,X3)) = add(X1,multiply(X2,X3)) ),
% 0.54/0.96 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.54/0.96 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.54/0.96 cnf('0.10.2.0',plain,
% 0.54/0.96 ( multiply(add(X1,X2),add(X1,X3)) = add(X1,multiply(X2,X3)) ),
% 0.54/0.96 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.54/0.96 [u,rule_9]).
% 0.54/0.96 cnf('0.15.0.0',plain,
% 0.54/0.96 ( add(multiply(additive_identity,X1),X2) = multiply(X2,add(X1,X2)) ),
% 0.54/0.96 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 0.54/0.96 [pos('L.1','L')]).
% 0.54/0.96 cnf('0.15.1.0',plain,
% 0.54/0.96 ( add(multiply(additive_identity,X1),X2) = multiply(X2,add(X1,X2)) ),
% 0.54/0.96 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.54/0.96 [weight('<5,9,4,[1,0,0,1]>')]).
% 0.54/0.96 cnf('0.15.2.0',plain,
% 0.54/0.96 ( multiply(X1,add(X2,X1)) = add(multiply(additive_identity,X2),X1) ),
% 0.54/0.96 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.54/0.96 [x,rule_13]).
% 0.54/0.96 cnf('0.16.0.0',plain,
% 0.54/0.96 ( add(X1,multiply(additive_identity,X2)) = multiply(X1,add(X1,X2)) ),
% 0.54/0.96 inference(cp,[status(thm)],['0.10.2.0','0.3.2.0',theory(equality)]),
% 0.54/0.96 [pos('L.1','L')]).
% 0.54/0.96 cnf('0.16.1.0',plain,
% 0.54/0.96 ( add(X1,multiply(additive_identity,X2)) = multiply(X1,add(X1,X2)) ),
% 0.54/0.96 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.54/0.96 [weight('<5,10,3,[1,0,0,1]>')]).
% 0.54/0.96 cnf('0.16.2.0',plain,
% 0.54/0.96 ( multiply(X1,add(X1,X2)) = add(X1,multiply(additive_identity,X2)) ),
% 0.54/0.96 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.54/0.96 [x,rule_14]).
% 0.54/0.96 cnf('0.20.0.0',plain,
% 0.54/0.96 ( multiply(X1,add(inverse(X1),X2)) = add(additive_identity,multiply(X1,X2)) ),
% 0.54/0.96 inference(cp,[status(thm)],['0.6.2.0','0.7.2.0',theory(equality)]),
% 0.54/0.96 [pos('L.1','L')]).
% 0.54/0.96 cnf('0.20.0.1',plain,
% 0.54/0.96 ( multiply(X1,add(inverse(X1),X2)) = multiply(X1,X2) ),
% 0.54/0.96 inference(reduction,[status(thm)],['0.20.0.0','0.4.2.0',theory(equality)]),
% 0.54/0.96 [pos('R','L')]).
% 0.54/0.96 cnf('0.20.1.0',plain,
% 0.54/0.96 ( multiply(X1,add(inverse(X1),X2)) = multiply(X1,X2) ),
% 0.54/0.96 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.54/0.96 [weight('<6,7,6,[0,0,0,1]>')]).
% 0.54/0.96 cnf('0.20.2.0',plain,
% 0.54/0.96 ( multiply(X1,add(inverse(X1),X2)) = multiply(X1,X2) ),
% 0.54/0.96 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.54/0.96 [u,rule_18]).
% 0.54/0.96 cnf('0.21.0.0',plain,
% 0.54/0.96 ( multiply(X1,additive_identity) = multiply(X1,inverse(X1)) ),
% 0.54/0.96 inference(cp,[status(thm)],['0.20.2.0','0.3.2.0',theory(equality)]),
% 0.54/0.96 [pos('L.2','L')]).
% 0.54/0.96 cnf('0.21.0.1',plain,
% 0.54/0.96 ( multiply(X1,additive_identity) = additive_identity ),
% 0.54/0.96 inference(reduction,[status(thm)],['0.21.0.0','0.7.2.0',theory(equality)]),
% 0.54/0.96 [pos('R','L')]).
% 0.54/0.96 cnf('0.21.1.0',plain,
% 0.54/0.96 ( multiply(X1,additive_identity) = additive_identity ),
% 0.54/0.96 inference(weigh,[status(thm)],['0.21.0.1']),
% 0.54/0.96 [weight('<3,20,3,[1,0,0,2]>')]).
% 0.54/0.96 cnf('0.21.2.0',plain,
% 0.54/0.96 ( multiply(X1,additive_identity) = additive_identity ),
% 0.54/0.96 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.54/0.96 [u,rule_19]).
% 0.54/0.96 cnf('0.23.0.0',plain,
% 0.54/0.96 ( additive_identity = multiply(additive_identity,X1) ),
% 0.54/0.96 inference(cp,[status(thm)],['0.21.2.0','0.5.2.0',theory(equality)]),
% 0.54/0.96 [pos('L','L')]).
% 0.54/0.96 cnf('0.23.1.0',plain,
% 0.54/0.96 ( additive_identity = multiply(additive_identity,X1) ),
% 0.54/0.96 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.54/0.96 [weight('<3,21,5,[1,0,0,0]>')]).
% 0.54/0.96 cnf('0.23.2.0',plain,
% 0.54/0.96 ( multiply(additive_identity,X1) = additive_identity ),
% 0.54/0.96 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.54/0.96 [x,rule_21]).
% 0.54/0.96 cnf('0.25.0.0',plain,
% 0.54/0.96 ( multiply(X1,add(X2,X1)) = add(multiply(additive_identity,X2),X1) ),
% 0.54/0.96 inference(interreduction_right,[status(thm)],['0.15.2.0'])).
% 0.54/0.96 cnf('0.25.0.1',plain,
% 0.54/0.96 ( multiply(X1,add(X2,X1)) = add(additive_identity,X1) ),
% 0.54/0.96 inference(reduction,[status(thm)],['0.25.0.0','0.23.2.0',theory(equality)]),
% 0.54/0.96 [pos('R.1','L')]).
% 0.54/0.96 cnf('0.25.0.2',plain,
% 0.54/0.96 ( multiply(X1,add(X2,X1)) = X1 ),
% 0.54/0.96 inference(reduction,[status(thm)],['0.25.0.1','0.4.2.0',theory(equality)]),
% 0.54/0.96 [pos('R','L')]).
% 0.54/0.96 cnf('0.25.1.0',plain,
% 0.54/0.96 ( multiply(X1,add(X2,X1)) = X1 ),
% 0.54/0.96 inference(weigh,[status(thm)],['0.25.0.2']),
% 0.54/0.96 [weight('<5,15,23,[0,0,0,0]>')]).
% 0.54/0.96 cnf('0.25.2.0',plain,
% 0.54/0.96 ( multiply(X1,add(X2,X1)) = X1 ),
% 0.54/0.96 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.54/0.96 [u,rule_23]).
% 0.54/0.96 cnf('0.26.0.0',plain,
% 0.54/0.96 ( X1 = multiply(X1,X1) ),
% 0.54/0.96 inference(cp,[status(thm)],['0.25.2.0','0.4.2.0',theory(equality)]),
% 0.54/0.96 [pos('L.2','L')]).
% 0.54/0.96 cnf('0.26.1.0',plain,
% 0.54/0.96 ( X1 = multiply(X1,X1) ),
% 0.54/0.96 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.54/0.96 [weight('<3,25,4,[1,0,0,2]>')]).
% 0.54/0.96 cnf('0.26.2.0',plain,
% 0.54/0.96 ( multiply(X1,X1) = X1 ),
% 0.54/0.96 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.54/0.96 [x,rule_24]).
% 0.54/0.96 cnf('0.27.0.0',plain,
% 0.54/0.96 ( multiply(X1,add(X1,X2)) = add(X1,multiply(additive_identity,X2)) ),
% 0.54/0.96 inference(interreduction_right,[status(thm)],['0.16.2.0'])).
% 0.54/0.96 cnf('0.27.0.1',plain,
% 0.54/0.96 ( multiply(X1,add(X1,X2)) = add(X1,additive_identity) ),
% 0.54/0.96 inference(reduction,[status(thm)],['0.27.0.0','0.23.2.0',theory(equality)]),
% 0.54/0.96 [pos('R.2','L')]).
% 0.54/0.96 cnf('0.27.0.2',plain,
% 0.54/0.96 ( multiply(X1,add(X1,X2)) = X1 ),
% 0.54/0.96 inference(reduction,[status(thm)],['0.27.0.1','0.3.2.0',theory(equality)]),
% 0.54/0.96 [pos('R','L')]).
% 0.54/0.96 cnf('0.27.1.0',plain,
% 0.54/0.96 ( multiply(X1,add(X1,X2)) = X1 ),
% 0.54/0.96 inference(weigh,[status(thm)],['0.27.0.2']),
% 0.54/0.96 [weight('<5,16,23,[0,0,0,0]>')]).
% 0.54/0.96 cnf('0.27.2.0',plain,
% 0.54/0.96 ( multiply(X1,add(X1,X2)) = X1 ),
% 0.54/0.96 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.54/0.96 [u,rule_25]).
% 0.54/0.96 cnf('0.29.0.0',plain,
% 0.54/0.96 ( multiply(X1,add(X1,X2)) = add(X1,multiply(X1,X2)) ),
% 0.54/0.96 inference(cp,[status(thm)],['0.6.2.0','0.26.2.0',theory(equality)]),
% 0.54/0.96 [pos('L.1','L')]).
% 0.54/0.96 cnf('0.29.1.0',plain,
% 0.54/0.96 ( multiply(X1,add(X1,X2)) = add(X1,multiply(X1,X2)) ),
% 0.54/0.96 inference(weigh,[status(thm)],['0.29.0.0']),
% 0.54/0.96 [weight('<5,26,6,[0,0,0,1]>')]).
% 0.54/0.96 cnf('0.29.1.1',plain,
% 0.54/0.96 ( X1 = add(X1,multiply(X1,X2)) ),
% 0.54/0.96 inference(reduction,[status(thm)],['0.29.1.0','0.27.2.0',theory(equality)]),
% 0.54/0.96 [pos('L','L')]).
% 0.54/0.96 cnf('0.29.2.0',plain,
% 0.54/0.96 ( add(X1,multiply(X1,X2)) = X1 ),
% 0.54/0.96 inference(orient,[status(thm)],['0.29.1.1',theory(equality)]),
% 0.54/0.96 [x,rule_27]).
% 0.54/0.96 cnf('0.30.0.0',plain,
% 0.54/0.96 ( X1 = add(X1,X1) ),
% 0.54/0.96 inference(cp,[status(thm)],['0.29.2.0','0.1.2.0',theory(equality)]),
% 0.54/0.96 [pos('L.2','L')]).
% 0.54/0.96 cnf('0.30.1.0',plain,
% 0.54/0.96 ( X1 = add(X1,X1) ),
% 0.54/0.96 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.54/0.96 [weight('<3,29,1,[1,0,0,2]>')]).
% 0.54/0.96 cnf('0.30.2.0',plain,
% 0.54/0.96 ( add(X1,X1) = X1 ),
% 0.54/0.96 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.54/0.96 [x,rule_28]).
% 0.54/0.96 cnf('1.0.0.0',conjecture,
% 0.54/0.96 ( add(a,a) = a ),
% 0.54/0.96 file('/tmp/WALDMEISTER_31694_n027',conjecture_1)).
% 0.54/0.96 cnf('1.0.0.1',plain,
% 0.54/0.96 ( a = a ),
% 0.54/0.96 inference(reduction,[status(thm)],['1.0.0.0','0.30.2.0',theory(equality)]),
% 0.54/0.96 [pos('L','L')]).
% 0.54/0.96 cnf('1.0.0.2',plain,
% 0.54/0.96 ( $true ),
% 0.54/0.96 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.54/0.96 [conjecture_1]).
% 0.54/0.96
% 0.54/0.96 Proved Goals:
% 0.54/0.96 No. 1: add(a,a) ?= a joined, current: a = a
% 0.54/0.96 1 goal was specified, which was proved.
% 0.54/0.96 % SZS output end CNFRefutation
% 0.54/0.96 #END OF PROOF
% 0.54/0.96
% 0.54/0.96 Problem WALDMEISTER_31694_n027
% 0.54/0.96 CPs.gen 240
% 0.54/0.96 CPs.reexp 0
% 0.54/0.96 Select 44
% 0.54/0.96 R 28
% 0.54/0.96 E 2
% 0.54/0.96 vsize 6.4M
% 0.54/0.96 rss 3.8M
% 0.54/0.96 process.time 0.003s
% 0.54/0.96 wallclock.time 0.003s
% 0.54/0.96 status S
% 0.54/0.96
% 0.54/0.96
% 0.54/0.96 Waldmeister states: Goal proved.
% 0.54/0.96 % SZS status Unsatisfiable
%------------------------------------------------------------------------------