TSTP Solution File: RNG007-4 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : RNG007-4 : 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 : Mon Jul 18 20:47:22 EDT 2022
% Result : Unsatisfiable 0.61s 1.00s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG007-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : woody %s
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon May 30 05:04:12 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.61/1.00 ********************************************************************************
% 0.61/1.00 * W A L D M E I S T E R \| \ / \|/ *
% 0.61/1.00 * |/ | \/ | *
% 0.61/1.00 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.61/1.00 * A. Jaeger and B. Loechner | | *
% 0.61/1.00 * <waldmeister@informatik.uni-kl.de> | *
% 0.61/1.00 ********************************************************************************
% 0.61/1.00
% 0.61/1.00
% 0.61/1.00 Goals:
% 0.61/1.00 ------
% 0.61/1.00
% 0.61/1.00 ( 1) add(a,a) ?=? additive_identity
% 0.61/1.00
% 0.61/1.00 Detected structure: Ring
% 0.61/1.00 ********************************************************************************
% 0.61/1.00 ****************************** COMPLETION - PROOF ******************************
% 0.61/1.00 ********************************************************************************
% 0.61/1.00
% 0.61/1.00 joined goal: 1 add(a,a) ?= additive_identity to additive_identity
% 0.61/1.00 goal joined
% 0.61/1.00 % SZS status Unsatisfiable
% 0.61/1.00 #START OF PROOF
% 0.61/1.00 % SZS output start CNFRefutation
% 0.61/1.00 cnf('0.1.0.0',axiom,
% 0.61/1.00 ( X1 = multiply(X1,X1) ),
% 0.61/1.00 file('/tmp/WALDMEISTER_19609_n025')).
% 0.61/1.00 cnf('0.1.1.0',plain,
% 0.61/1.00 ( X1 = multiply(X1,X1) ),
% 0.61/1.00 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.61/1.00 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.61/1.00 cnf('0.1.2.0',plain,
% 0.61/1.00 ( multiply(X1,X1) = X1 ),
% 0.61/1.00 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.61/1.00 [x,rule_1]).
% 0.61/1.00 cnf('0.3.0.0',axiom,
% 0.61/1.00 ( X1 = additive_inverse(additive_inverse(X1)) ),
% 0.61/1.00 file('/tmp/WALDMEISTER_19609_n025')).
% 0.61/1.00 cnf('0.3.1.0',plain,
% 0.61/1.00 ( X1 = additive_inverse(additive_inverse(X1)) ),
% 0.61/1.00 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.61/1.00 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.61/1.00 cnf('0.3.2.0',plain,
% 0.61/1.00 ( additive_inverse(additive_inverse(X1)) = X1 ),
% 0.61/1.00 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.61/1.00 [x,rule_3]).
% 0.61/1.00 cnf('0.6.0.0',axiom,
% 0.61/1.00 ( multiply(X1,additive_inverse(X2)) = additive_inverse(multiply(X1,X2)) ),
% 0.61/1.00 file('/tmp/WALDMEISTER_19609_n025')).
% 0.61/1.00 cnf('0.6.1.0',plain,
% 0.61/1.00 ( multiply(X1,additive_inverse(X2)) = additive_inverse(multiply(X1,X2)) ),
% 0.61/1.00 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.61/1.00 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.61/1.00 cnf('0.6.2.0',plain,
% 0.61/1.00 ( additive_inverse(multiply(X1,X2)) = multiply(X1,additive_inverse(X2)) ),
% 0.61/1.00 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.61/1.00 [x,rule_6]).
% 0.61/1.00 cnf('0.9.0.0',axiom,
% 0.61/1.00 ( multiply(additive_inverse(X1),X2) = additive_inverse(multiply(X1,X2)) ),
% 0.61/1.00 file('/tmp/WALDMEISTER_19609_n025')).
% 0.61/1.00 cnf('0.9.1.0',plain,
% 0.61/1.00 ( multiply(additive_inverse(X1),X2) = additive_inverse(multiply(X1,X2)) ),
% 0.61/1.00 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.61/1.00 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.61/1.00 cnf('0.9.1.1',plain,
% 0.61/1.00 ( multiply(additive_inverse(X1),X2) = multiply(X1,additive_inverse(X2)) ),
% 0.61/1.00 inference(reduction,[status(thm)],['0.9.1.0','0.6.2.0',theory(equality)]),
% 0.61/1.00 [pos('R','L')]).
% 0.61/1.00 cnf('0.9.2.0',plain,
% 0.61/1.00 ( multiply(additive_inverse(X1),X2) = multiply(X1,additive_inverse(X2)) ),
% 0.61/1.00 inference(orient,[status(thm)],['0.9.1.1',theory(equality)]),
% 0.61/1.00 [u,rule_9]).
% 0.61/1.00 cnf('0.11.0.0',axiom,
% 0.61/1.00 ( add(X1,X2) = add(X2,X1) ),
% 0.61/1.00 file('/tmp/WALDMEISTER_19609_n025')).
% 0.61/1.00 cnf('0.11.1.0',plain,
% 0.61/1.00 ( add(X1,X2) = add(X2,X1) ),
% 0.61/1.00 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.61/1.00 [weight('<10,0,0,[0,0,0,11]>')]).
% 0.61/1.00 cnf('0.11.2.0',plain,
% 0.61/1.00 ( add(X1,X2) = add(X2,X1) ),
% 0.61/1.00 inference(activate,[status(thm)],['0.11.1.0']),
% 0.61/1.00 [equation_1]).
% 0.61/1.00 cnf('0.13.0.0',axiom,
% 0.61/1.00 ( add(additive_inverse(X1),X1) = additive_identity ),
% 0.61/1.00 file('/tmp/WALDMEISTER_19609_n025')).
% 0.61/1.00 cnf('0.13.1.0',plain,
% 0.61/1.00 ( add(additive_inverse(X1),X1) = additive_identity ),
% 0.61/1.00 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.61/1.00 [weight('<12,0,0,[0,0,0,13]>')]).
% 0.61/1.00 cnf('0.13.1.1',plain,
% 0.61/1.00 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 0.61/1.00 inference(reduction,[status(thm)],['0.13.1.0','0.11.2.0',theory(equality)]),
% 0.61/1.00 [pos('L','L')]).
% 0.61/1.00 cnf('0.13.2.0',plain,
% 0.61/1.00 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 0.61/1.00 inference(orient,[status(thm)],['0.13.1.1',theory(equality)]),
% 0.61/1.00 [u,rule_12]).
% 0.61/1.00 cnf('0.16.0.0',plain,
% 0.61/1.00 ( multiply(X1,additive_inverse(additive_inverse(X1))) = additive_inverse(X1) ),
% 0.61/1.00 inference(cp,[status(thm)],['0.9.2.0','0.1.2.0',theory(equality)]),
% 0.61/1.00 [pos('L','L')]).
% 0.61/1.00 cnf('0.16.0.1',plain,
% 0.61/1.00 ( multiply(X1,X1) = additive_inverse(X1) ),
% 0.61/1.00 inference(reduction,[status(thm)],['0.16.0.0','0.3.2.0',theory(equality)]),
% 0.61/1.00 [pos('L.2','L')]).
% 0.61/1.00 cnf('0.16.0.2',plain,
% 0.61/1.00 ( X1 = additive_inverse(X1) ),
% 0.61/1.00 inference(reduction,[status(thm)],['0.16.0.1','0.1.2.0',theory(equality)]),
% 0.61/1.00 [pos('L','L')]).
% 0.61/1.00 cnf('0.16.1.0',plain,
% 0.61/1.00 ( X1 = additive_inverse(X1) ),
% 0.61/1.00 inference(weigh,[status(thm)],['0.16.0.2']),
% 0.61/1.00 [weight('<11,9,1,[1,0,0,0]>')]).
% 0.61/1.00 cnf('0.16.2.0',plain,
% 0.61/1.00 ( additive_inverse(X1) = X1 ),
% 0.61/1.00 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.61/1.00 [x,rule_15]).
% 0.61/1.00 cnf('0.18.0.0',plain,
% 0.61/1.00 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 0.61/1.00 inference(interreduction_right,[status(thm)],['0.13.2.0'])).
% 0.61/1.00 cnf('0.18.0.1',plain,
% 0.61/1.00 ( add(X1,X1) = additive_identity ),
% 0.61/1.00 inference(reduction,[status(thm)],['0.18.0.0','0.16.2.0',theory(equality)]),
% 0.61/1.00 [pos('L.2','L')]).
% 0.61/1.00 cnf('0.18.1.0',plain,
% 0.61/1.00 ( add(X1,X1) = additive_identity ),
% 0.61/1.00 inference(weigh,[status(thm)],['0.18.0.1']),
% 0.61/1.00 [weight('<19,13,16,[0,0,0,0]>')]).
% 0.61/1.00 cnf('0.18.2.0',plain,
% 0.61/1.00 ( add(X1,X1) = additive_identity ),
% 0.61/1.00 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.61/1.00 [u,rule_17]).
% 0.61/1.00 cnf('1.0.0.0',conjecture,
% 0.61/1.00 ( add(a,a) = additive_identity ),
% 0.61/1.00 file('/tmp/WALDMEISTER_19609_n025',conjecture_1)).
% 0.61/1.00 cnf('1.0.0.1',plain,
% 0.61/1.00 ( additive_identity = additive_identity ),
% 0.61/1.00 inference(reduction,[status(thm)],['1.0.0.0','0.18.2.0',theory(equality)]),
% 0.61/1.00 [pos('L','L')]).
% 0.61/1.00 cnf('1.0.0.2',plain,
% 0.61/1.00 ( $true ),
% 0.61/1.00 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.61/1.00 [conjecture_1]).
% 0.61/1.00
% 0.61/1.00 Proved Goals:
% 0.61/1.00 No. 1: add(a,a) ?= additive_identity joined, current: additive_identity = additive_identity
% 0.61/1.00 1 goal was specified, which was proved.
% 0.61/1.00 % SZS output end CNFRefutation
% 0.61/1.00 #END OF PROOF
% 0.61/1.00
% 0.61/1.00 Problem WALDMEISTER_19609_n025
% 0.61/1.00 CPs.gen 73
% 0.61/1.00 CPs.reexp 0
% 0.61/1.00 Select 18
% 0.61/1.00 R 17
% 0.61/1.00 E 1
% 0.61/1.00 vsize 6.5M
% 0.61/1.00 rss 3.5M
% 0.61/1.00 process.time 0.002s
% 0.61/1.00 wallclock.time 0.002s
% 0.61/1.00 status S
% 0.61/1.00
% 0.61/1.00
% 0.61/1.00 Waldmeister states: Goal proved.
% 0.61/1.00 % SZS status Unsatisfiable
%------------------------------------------------------------------------------