TSTP Solution File: BOO006-2 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : BOO006-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n025.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 23:52:47 EDT 2022
% Result : Unsatisfiable 0.65s 1.07s
% Output : CNFRefutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : BOO006-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n025.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 : Wed Jun 1 20:46:29 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.65/1.07 ********************************************************************************
% 0.65/1.07 * W A L D M E I S T E R \| \ / \|/ *
% 0.65/1.07 * |/ | \/ | *
% 0.65/1.07 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.65/1.07 * A. Jaeger and B. Loechner | | *
% 0.65/1.07 * <waldmeister@informatik.uni-kl.de> | *
% 0.65/1.07 ********************************************************************************
% 0.65/1.07
% 0.65/1.07
% 0.65/1.07 Goals:
% 0.65/1.07 ------
% 0.65/1.07
% 0.65/1.07 ( 1) multiply(a,additive_identity) ?=? additive_identity
% 0.65/1.07
% 0.65/1.07 Detected structure: BoolescheAlgebra
% 0.65/1.07 ********************************************************************************
% 0.65/1.07 ****************************** COMPLETION - PROOF ******************************
% 0.65/1.07 ********************************************************************************
% 0.65/1.07
% 0.65/1.07 joined goal: 1 multiply(a,additive_identity) ?= additive_identity to additive_identity
% 0.65/1.07 goal joined
% 0.65/1.07 % SZS status Unsatisfiable
% 0.65/1.07 #START OF PROOF
% 0.65/1.07 % SZS output start CNFRefutation
% 0.65/1.07 cnf('0.2.0.0',axiom,
% 0.65/1.07 ( X1 = add(additive_identity,X1) ),
% 0.65/1.07 file('/tmp/WALDMEISTER_14146_n025')).
% 0.65/1.07 cnf('0.2.1.0',plain,
% 0.65/1.07 ( X1 = add(additive_identity,X1) ),
% 0.65/1.07 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.65/1.07 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.65/1.07 cnf('0.2.2.0',plain,
% 0.65/1.07 ( add(additive_identity,X1) = X1 ),
% 0.65/1.07 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.65/1.07 [x,rule_2]).
% 0.65/1.07 cnf('0.3.0.0',axiom,
% 0.65/1.07 ( X1 = multiply(X1,multiplicative_identity) ),
% 0.65/1.07 file('/tmp/WALDMEISTER_14146_n025')).
% 0.65/1.07 cnf('0.3.1.0',plain,
% 0.65/1.07 ( X1 = multiply(X1,multiplicative_identity) ),
% 0.65/1.07 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.65/1.07 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.65/1.07 cnf('0.3.2.0',plain,
% 0.65/1.07 ( multiply(X1,multiplicative_identity) = X1 ),
% 0.65/1.07 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.65/1.07 [x,rule_3]).
% 0.65/1.07 cnf('0.4.0.0',axiom,
% 0.65/1.07 ( X1 = multiply(multiplicative_identity,X1) ),
% 0.65/1.07 file('/tmp/WALDMEISTER_14146_n025')).
% 0.65/1.07 cnf('0.4.1.0',plain,
% 0.65/1.07 ( X1 = multiply(multiplicative_identity,X1) ),
% 0.65/1.07 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.65/1.07 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.65/1.07 cnf('0.4.2.0',plain,
% 0.65/1.07 ( multiply(multiplicative_identity,X1) = X1 ),
% 0.65/1.07 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.65/1.07 [x,rule_4]).
% 0.65/1.07 cnf('0.5.0.0',axiom,
% 0.65/1.07 ( add(X1,X2) = add(X2,X1) ),
% 0.65/1.07 file('/tmp/WALDMEISTER_14146_n025')).
% 0.65/1.07 cnf('0.5.1.0',plain,
% 0.65/1.07 ( add(X1,X2) = add(X2,X1) ),
% 0.65/1.07 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.65/1.07 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.65/1.07 cnf('0.5.2.0',plain,
% 0.65/1.07 ( add(X1,X2) = add(X2,X1) ),
% 0.65/1.07 inference(activate,[status(thm)],['0.5.1.0']),
% 0.65/1.07 [equation_1]).
% 0.65/1.07 cnf('0.6.0.0',axiom,
% 0.65/1.07 ( add(X1,multiply(X2,X3)) = multiply(add(X1,X2),add(X1,X3)) ),
% 0.65/1.07 file('/tmp/WALDMEISTER_14146_n025')).
% 0.65/1.07 cnf('0.6.1.0',plain,
% 0.65/1.07 ( add(X1,multiply(X2,X3)) = multiply(add(X1,X2),add(X1,X3)) ),
% 0.65/1.07 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.65/1.07 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.65/1.07 cnf('0.6.2.0',plain,
% 0.65/1.07 ( multiply(add(X1,X2),add(X1,X3)) = add(X1,multiply(X2,X3)) ),
% 0.65/1.07 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.65/1.07 [x,rule_5]).
% 0.65/1.07 cnf('0.7.0.0',axiom,
% 0.65/1.07 ( add(X1,inverse(X1)) = multiplicative_identity ),
% 0.65/1.07 file('/tmp/WALDMEISTER_14146_n025')).
% 0.65/1.07 cnf('0.7.1.0',plain,
% 0.65/1.07 ( add(X1,inverse(X1)) = multiplicative_identity ),
% 0.65/1.07 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.65/1.07 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.65/1.07 cnf('0.7.2.0',plain,
% 0.65/1.07 ( add(X1,inverse(X1)) = multiplicative_identity ),
% 0.65/1.07 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.65/1.07 [u,rule_6]).
% 0.65/1.07 cnf('0.9.0.0',axiom,
% 0.65/1.07 ( add(multiply(X1,X2),multiply(X3,X2)) = multiply(add(X1,X3),X2) ),
% 0.65/1.07 file('/tmp/WALDMEISTER_14146_n025')).
% 0.65/1.07 cnf('0.9.1.0',plain,
% 0.65/1.07 ( add(multiply(X1,X2),multiply(X3,X2)) = multiply(add(X1,X3),X2) ),
% 0.65/1.07 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.65/1.07 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.65/1.07 cnf('0.9.2.0',plain,
% 0.65/1.07 ( add(multiply(X1,X2),multiply(X3,X2)) = multiply(add(X1,X3),X2) ),
% 0.65/1.07 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.65/1.07 [u,rule_8]).
% 0.65/1.07 cnf('0.11.0.0',axiom,
% 0.65/1.07 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.65/1.07 file('/tmp/WALDMEISTER_14146_n025')).
% 0.65/1.07 cnf('0.11.1.0',plain,
% 0.65/1.07 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.65/1.07 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.65/1.07 [weight('<11,0,0,[0,0,0,12]>')]).
% 0.65/1.07 cnf('0.11.2.0',plain,
% 0.65/1.07 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.65/1.07 inference(activate,[status(thm)],['0.11.1.0']),
% 0.65/1.07 [equation_2]).
% 0.65/1.07 cnf('0.15.0.0',plain,
% 0.65/1.07 ( multiply(add(multiplicative_identity,X1),X2) = add(X2,multiply(X1,X2)) ),
% 0.65/1.07 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 0.65/1.07 [pos('L.1','L')]).
% 0.65/1.07 cnf('0.15.1.0',plain,
% 0.65/1.07 ( multiply(add(multiplicative_identity,X1),X2) = add(X2,multiply(X1,X2)) ),
% 0.65/1.07 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.65/1.07 [weight('<5,9,4,[1,0,0,1]>')]).
% 0.65/1.07 cnf('0.15.2.0',plain,
% 0.65/1.07 ( add(X1,multiply(X2,X1)) = multiply(add(multiplicative_identity,X2),X1) ),
% 0.65/1.07 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.65/1.07 [x,rule_13]).
% 0.65/1.07 cnf('0.17.0.0',plain,
% 0.65/1.07 ( multiply(add(multiplicative_identity,X1),additive_identity) = multiply(X1,additive_identity) ),
% 0.65/1.07 inference(cp,[status(thm)],['0.15.2.0','0.2.2.0',theory(equality)]),
% 0.65/1.07 [pos('L','L')]).
% 0.65/1.07 cnf('0.17.1.0',plain,
% 0.65/1.07 ( multiply(add(multiplicative_identity,X1),additive_identity) = multiply(X1,additive_identity) ),
% 0.65/1.07 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.65/1.07 [weight('<5,15,2,[1,0,0,0]>')]).
% 0.65/1.07 cnf('0.17.1.1',plain,
% 0.65/1.07 ( multiply(additive_identity,add(multiplicative_identity,X1)) = multiply(X1,additive_identity) ),
% 0.65/1.07 inference(reduction,[status(thm)],['0.17.1.0','0.11.2.0',theory(equality)]),
% 0.65/1.07 [pos('L','L')]).
% 0.65/1.07 cnf('0.17.2.0',plain,
% 0.65/1.07 ( multiply(additive_identity,add(multiplicative_identity,X1)) = multiply(X1,additive_identity) ),
% 0.65/1.07 inference(orient,[status(thm)],['0.17.1.1',theory(equality)]),
% 0.65/1.07 [u,rule_15]).
% 0.65/1.07 cnf('0.19.0.0',plain,
% 0.65/1.07 ( multiply(X1,additive_identity) = multiply(additive_identity,add(X1,multiplicative_identity)) ),
% 0.65/1.07 inference(cp,[status(thm)],['0.17.2.0','0.5.2.0',theory(equality)]),
% 0.65/1.07 [pos('L.2','L')]).
% 0.65/1.07 cnf('0.19.1.0',plain,
% 0.65/1.07 ( multiply(X1,additive_identity) = multiply(additive_identity,add(X1,multiplicative_identity)) ),
% 0.65/1.07 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.65/1.07 [weight('<5,17,5,[1,0,0,2]>')]).
% 0.65/1.07 cnf('0.19.2.0',plain,
% 0.65/1.07 ( multiply(additive_identity,add(X1,multiplicative_identity)) = multiply(X1,additive_identity) ),
% 0.65/1.07 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.65/1.07 [x,rule_17]).
% 0.65/1.07 cnf('0.20.0.0',plain,
% 0.65/1.07 ( add(X1,multiply(inverse(X1),X2)) = multiply(multiplicative_identity,add(X1,X2)) ),
% 0.68/1.07 inference(cp,[status(thm)],['0.6.2.0','0.7.2.0',theory(equality)]),
% 0.68/1.07 [pos('L.1','L')]).
% 0.68/1.07 cnf('0.20.0.1',plain,
% 0.68/1.07 ( add(X1,multiply(inverse(X1),X2)) = add(X1,X2) ),
% 0.68/1.07 inference(reduction,[status(thm)],['0.20.0.0','0.4.2.0',theory(equality)]),
% 0.68/1.07 [pos('R','L')]).
% 0.68/1.07 cnf('0.20.1.0',plain,
% 0.68/1.07 ( add(X1,multiply(inverse(X1),X2)) = add(X1,X2) ),
% 0.68/1.07 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.68/1.07 [weight('<6,7,6,[0,0,0,1]>')]).
% 0.68/1.07 cnf('0.20.2.0',plain,
% 0.68/1.07 ( add(X1,multiply(inverse(X1),X2)) = add(X1,X2) ),
% 0.68/1.07 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.68/1.07 [u,rule_18]).
% 0.68/1.07 cnf('0.21.0.0',plain,
% 0.68/1.07 ( add(X1,multiplicative_identity) = add(X1,inverse(X1)) ),
% 0.68/1.07 inference(cp,[status(thm)],['0.20.2.0','0.3.2.0',theory(equality)]),
% 0.68/1.07 [pos('L.2','L')]).
% 0.68/1.07 cnf('0.21.0.1',plain,
% 0.68/1.07 ( add(X1,multiplicative_identity) = multiplicative_identity ),
% 0.68/1.07 inference(reduction,[status(thm)],['0.21.0.0','0.7.2.0',theory(equality)]),
% 0.68/1.07 [pos('R','L')]).
% 0.68/1.07 cnf('0.21.1.0',plain,
% 0.68/1.07 ( add(X1,multiplicative_identity) = multiplicative_identity ),
% 0.68/1.07 inference(weigh,[status(thm)],['0.21.0.1']),
% 0.68/1.07 [weight('<3,20,3,[1,0,0,2]>')]).
% 0.68/1.07 cnf('0.21.2.0',plain,
% 0.68/1.07 ( add(X1,multiplicative_identity) = multiplicative_identity ),
% 0.68/1.07 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.68/1.07 [u,rule_19]).
% 0.68/1.07 cnf('0.22.0.0',plain,
% 0.68/1.07 ( multiply(additive_identity,add(X1,multiplicative_identity)) = multiply(X1,additive_identity) ),
% 0.68/1.07 inference(interreduction_right,[status(thm)],['0.19.2.0'])).
% 0.68/1.07 cnf('0.22.0.1',plain,
% 0.68/1.07 ( multiply(additive_identity,multiplicative_identity) = multiply(X1,additive_identity) ),
% 0.68/1.07 inference(reduction,[status(thm)],['0.22.0.0','0.21.2.0',theory(equality)]),
% 0.68/1.07 [pos('L.2','L')]).
% 0.68/1.07 cnf('0.22.0.2',plain,
% 0.68/1.07 ( additive_identity = multiply(X1,additive_identity) ),
% 0.68/1.07 inference(reduction,[status(thm)],['0.22.0.1','0.3.2.0',theory(equality)]),
% 0.68/1.07 [pos('L','L')]).
% 0.68/1.07 cnf('0.22.1.0',plain,
% 0.68/1.07 ( additive_identity = multiply(X1,additive_identity) ),
% 0.68/1.07 inference(weigh,[status(thm)],['0.22.0.2']),
% 0.68/1.07 [weight('<3,19,21,[0,0,0,0]>')]).
% 0.68/1.07 cnf('0.22.2.0',plain,
% 0.68/1.07 ( multiply(X1,additive_identity) = additive_identity ),
% 0.68/1.07 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.68/1.07 [x,rule_20]).
% 0.68/1.07 cnf('1.0.0.0',conjecture,
% 0.68/1.07 ( multiply(a,additive_identity) = additive_identity ),
% 0.68/1.07 file('/tmp/WALDMEISTER_14146_n025',conjecture_1)).
% 0.68/1.07 cnf('1.0.0.1',plain,
% 0.68/1.07 ( additive_identity = additive_identity ),
% 0.68/1.07 inference(reduction,[status(thm)],['1.0.0.0','0.22.2.0',theory(equality)]),
% 0.68/1.07 [pos('L','L')]).
% 0.68/1.07 cnf('1.0.0.2',plain,
% 0.68/1.07 ( $true ),
% 0.68/1.07 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.68/1.07 [conjecture_1]).
% 0.68/1.07
% 0.68/1.07 Proved Goals:
% 0.68/1.07 No. 1: multiply(a,additive_identity) ?= additive_identity joined, current: additive_identity = additive_identity
% 0.68/1.07 1 goal was specified, which was proved.
% 0.68/1.07 % SZS output end CNFRefutation
% 0.68/1.07 #END OF PROOF
% 0.68/1.07
% 0.68/1.07 Problem WALDMEISTER_14146_n025
% 0.68/1.07 CPs.gen 140
% 0.68/1.07 CPs.reexp 0
% 0.68/1.07 Select 32
% 0.68/1.07 R 20
% 0.68/1.07 E 2
% 0.68/1.07 vsize 6.4M
% 0.68/1.07 rss 3.8M
% 0.68/1.07 process.time 0.003s
% 0.68/1.07 wallclock.time 0.003s
% 0.68/1.07 status S
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 Waldmeister states: Goal proved.
% 0.68/1.07 % SZS status Unsatisfiable
%------------------------------------------------------------------------------