TSTP Solution File: RNG008-3 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : RNG008-3 : TPTP v8.1.0. Released v1.0.0.
% 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 20:47:23 EDT 2022
% Result : Unsatisfiable 0.66s 1.04s
% Output : CNFRefutation 0.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG008-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : woody %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon May 30 18:45:37 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.66/1.04 ********************************************************************************
% 0.66/1.04 * W A L D M E I S T E R \| \ / \|/ *
% 0.66/1.04 * |/ | \/ | *
% 0.66/1.04 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.66/1.04 * A. Jaeger and B. Loechner | | *
% 0.66/1.04 * <waldmeister@informatik.uni-kl.de> | *
% 0.66/1.04 ********************************************************************************
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 Goals:
% 0.66/1.04 ------
% 0.66/1.04
% 0.66/1.04 ( 1) multiply(b,a) ?=? c
% 0.66/1.04
% 0.66/1.04 Detected structure: Ring
% 0.66/1.04 ********************************************************************************
% 0.66/1.04 ****************************** COMPLETION - PROOF ******************************
% 0.66/1.04 ********************************************************************************
% 0.66/1.04
% 0.66/1.04 joined goal: 1 multiply(b,a) ?= c to multiply(b,a)
% 0.66/1.04 goal joined
% 0.66/1.04 % SZS status Unsatisfiable
% 0.66/1.04 #START OF PROOF
% 0.66/1.04 % SZS output start CNFRefutation
% 0.66/1.04 cnf('0.1.0.0',axiom,
% 0.66/1.04 ( X1 = multiply(X1,X1) ),
% 0.66/1.04 file('/tmp/WALDMEISTER_13129_n022')).
% 0.66/1.04 cnf('0.1.1.0',plain,
% 0.66/1.04 ( X1 = multiply(X1,X1) ),
% 0.66/1.04 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.66/1.04 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.66/1.04 cnf('0.1.2.0',plain,
% 0.66/1.04 ( multiply(X1,X1) = X1 ),
% 0.66/1.04 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.66/1.04 [x,rule_1]).
% 0.66/1.04 cnf('0.3.0.0',axiom,
% 0.66/1.04 ( X1 = add(additive_identity,X1) ),
% 0.66/1.04 file('/tmp/WALDMEISTER_13129_n022')).
% 0.66/1.04 cnf('0.3.1.0',plain,
% 0.66/1.04 ( X1 = add(additive_identity,X1) ),
% 0.66/1.04 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.66/1.04 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.66/1.04 cnf('0.3.2.0',plain,
% 0.66/1.04 ( add(additive_identity,X1) = X1 ),
% 0.66/1.04 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.66/1.04 [x,rule_3]).
% 0.66/1.04 cnf('0.4.0.0',axiom,
% 0.66/1.04 ( X1 = additive_inverse(additive_inverse(X1)) ),
% 0.66/1.04 file('/tmp/WALDMEISTER_13129_n022')).
% 0.66/1.04 cnf('0.4.1.0',plain,
% 0.66/1.04 ( X1 = additive_inverse(additive_inverse(X1)) ),
% 0.66/1.04 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.66/1.04 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.66/1.04 cnf('0.4.2.0',plain,
% 0.66/1.04 ( additive_inverse(additive_inverse(X1)) = X1 ),
% 0.66/1.04 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.66/1.04 [x,rule_4]).
% 0.66/1.04 cnf('0.6.0.0',axiom,
% 0.66/1.04 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 0.66/1.04 file('/tmp/WALDMEISTER_13129_n022')).
% 0.66/1.04 cnf('0.6.1.0',plain,
% 0.66/1.04 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 0.66/1.04 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.66/1.04 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.66/1.04 cnf('0.6.2.0',plain,
% 0.66/1.04 ( add(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,add(X2,X3)) ),
% 0.66/1.04 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.66/1.04 [x,rule_6]).
% 0.66/1.04 cnf('0.7.0.0',axiom,
% 0.66/1.04 ( multiply(X1,additive_inverse(X2)) = additive_inverse(multiply(X1,X2)) ),
% 0.66/1.04 file('/tmp/WALDMEISTER_13129_n022')).
% 0.66/1.04 cnf('0.7.1.0',plain,
% 0.66/1.04 ( multiply(X1,additive_inverse(X2)) = additive_inverse(multiply(X1,X2)) ),
% 0.66/1.04 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.66/1.04 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.66/1.04 cnf('0.7.2.0',plain,
% 0.66/1.04 ( additive_inverse(multiply(X1,X2)) = multiply(X1,additive_inverse(X2)) ),
% 0.66/1.04 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.66/1.04 [x,rule_7]).
% 0.66/1.04 cnf('0.9.0.0',axiom,
% 0.66/1.04 ( multiply(add(X1,X2),X3) = add(multiply(X1,X3),multiply(X2,X3)) ),
% 0.66/1.04 file('/tmp/WALDMEISTER_13129_n022')).
% 0.66/1.04 cnf('0.9.1.0',plain,
% 0.66/1.04 ( multiply(add(X1,X2),X3) = add(multiply(X1,X3),multiply(X2,X3)) ),
% 0.66/1.04 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.66/1.04 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.66/1.04 cnf('0.9.2.0',plain,
% 0.66/1.04 ( add(multiply(X1,X2),multiply(X3,X2)) = multiply(add(X1,X3),X2) ),
% 0.66/1.04 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.66/1.04 [x,rule_9]).
% 0.66/1.04 cnf('0.10.0.0',axiom,
% 0.66/1.04 ( multiply(additive_inverse(X1),X2) = additive_inverse(multiply(X1,X2)) ),
% 0.66/1.04 file('/tmp/WALDMEISTER_13129_n022')).
% 0.66/1.04 cnf('0.10.1.0',plain,
% 0.66/1.04 ( multiply(additive_inverse(X1),X2) = additive_inverse(multiply(X1,X2)) ),
% 0.66/1.04 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.66/1.04 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.66/1.04 cnf('0.10.1.1',plain,
% 0.66/1.04 ( multiply(additive_inverse(X1),X2) = multiply(X1,additive_inverse(X2)) ),
% 0.66/1.04 inference(reduction,[status(thm)],['0.10.1.0','0.7.2.0',theory(equality)]),
% 0.66/1.04 [pos('R','L')]).
% 0.66/1.04 cnf('0.10.2.0',plain,
% 0.66/1.04 ( multiply(additive_inverse(X1),X2) = multiply(X1,additive_inverse(X2)) ),
% 0.66/1.04 inference(orient,[status(thm)],['0.10.1.1',theory(equality)]),
% 0.66/1.04 [u,rule_10]).
% 0.66/1.04 cnf('0.12.0.0',axiom,
% 0.66/1.04 ( multiply(a,b) = c ),
% 0.66/1.04 file('/tmp/WALDMEISTER_13129_n022')).
% 0.66/1.04 cnf('0.12.1.0',plain,
% 0.66/1.04 ( multiply(a,b) = c ),
% 0.66/1.04 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.66/1.04 [weight('<11,0,0,[0,0,0,12]>')]).
% 0.66/1.04 cnf('0.12.2.0',plain,
% 0.66/1.04 ( c = multiply(a,b) ),
% 0.66/1.04 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.66/1.04 [x,rule_12]).
% 0.66/1.04 cnf('0.13.0.0',axiom,
% 0.66/1.04 ( add(X1,X2) = add(X2,X1) ),
% 0.66/1.04 file('/tmp/WALDMEISTER_13129_n022')).
% 0.66/1.04 cnf('0.13.1.0',plain,
% 0.66/1.04 ( add(X1,X2) = add(X2,X1) ),
% 0.66/1.04 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.66/1.04 [weight('<12,0,0,[0,0,0,13]>')]).
% 0.66/1.04 cnf('0.13.2.0',plain,
% 0.66/1.04 ( add(X1,X2) = add(X2,X1) ),
% 0.66/1.04 inference(activate,[status(thm)],['0.13.1.0']),
% 0.66/1.04 [equation_1]).
% 0.66/1.04 cnf('0.14.0.0',axiom,
% 0.66/1.04 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 0.66/1.04 file('/tmp/WALDMEISTER_13129_n022')).
% 0.66/1.04 cnf('0.14.1.0',plain,
% 0.66/1.04 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 0.66/1.04 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.66/1.04 [weight('<13,0,0,[0,0,0,14]>')]).
% 0.66/1.04 cnf('0.14.2.0',plain,
% 0.66/1.04 ( add(add(X1,X2),X3) = add(X1,add(X2,X3)) ),
% 0.66/1.04 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.66/1.04 [x,rule_13]).
% 0.66/1.04 cnf('0.15.0.0',axiom,
% 0.66/1.04 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 0.66/1.04 file('/tmp/WALDMEISTER_13129_n022')).
% 0.66/1.04 cnf('0.15.1.0',plain,
% 0.66/1.04 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 0.66/1.04 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.66/1.04 [weight('<14,0,0,[0,0,0,15]>')]).
% 0.66/1.04 cnf('0.15.2.0',plain,
% 0.66/1.04 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 0.66/1.04 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.66/1.04 [u,rule_14]).
% 0.66/1.04 cnf('0.18.0.0',plain,
% 0.66/1.04 ( multiply(X1,additive_inverse(additive_inverse(X1))) = additive_inverse(X1) ),
% 0.66/1.04 inference(cp,[status(thm)],['0.10.2.0','0.1.2.0',theory(equality)]),
% 0.66/1.04 [pos('L','L')]).
% 0.66/1.04 cnf('0.18.0.1',plain,
% 0.66/1.04 ( multiply(X1,X1) = additive_inverse(X1) ),
% 0.66/1.04 inference(reduction,[status(thm)],['0.18.0.0','0.4.2.0',theory(equality)]),
% 0.66/1.04 [pos('L.2','L')]).
% 0.66/1.04 cnf('0.18.0.2',plain,
% 0.66/1.04 ( X1 = additive_inverse(X1) ),
% 0.66/1.04 inference(reduction,[status(thm)],['0.18.0.1','0.1.2.0',theory(equality)]),
% 0.66/1.04 [pos('L','L')]).
% 0.66/1.04 cnf('0.18.1.0',plain,
% 0.66/1.04 ( X1 = additive_inverse(X1) ),
% 0.66/1.04 inference(weigh,[status(thm)],['0.18.0.2']),
% 0.66/1.04 [weight('<11,10,1,[1,0,0,0]>')]).
% 0.66/1.04 cnf('0.18.2.0',plain,
% 0.66/1.04 ( additive_inverse(X1) = X1 ),
% 0.66/1.04 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.66/1.04 [x,rule_17]).
% 0.66/1.04 cnf('0.19.0.0',plain,
% 0.66/1.04 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 0.66/1.04 inference(interreduction_right,[status(thm)],['0.15.2.0'])).
% 0.66/1.04 cnf('0.19.0.1',plain,
% 0.66/1.04 ( add(X1,X1) = additive_identity ),
% 0.66/1.04 inference(reduction,[status(thm)],['0.19.0.0','0.18.2.0',theory(equality)]),
% 0.66/1.04 [pos('L.2','L')]).
% 0.66/1.04 cnf('0.19.1.0',plain,
% 0.66/1.04 ( add(X1,X1) = additive_identity ),
% 0.66/1.04 inference(weigh,[status(thm)],['0.19.0.1']),
% 0.66/1.04 [weight('<19,15,18,[0,0,0,0]>')]).
% 0.66/1.04 cnf('0.19.2.0',plain,
% 0.66/1.04 ( add(X1,X1) = additive_identity ),
% 0.66/1.04 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.66/1.04 [u,rule_18]).
% 0.66/1.04 cnf('0.20.0.0',plain,
% 0.66/1.04 ( add(X1,add(X1,X2)) = add(additive_identity,X2) ),
% 0.66/1.04 inference(cp,[status(thm)],['0.14.2.0','0.19.2.0',theory(equality)]),
% 0.66/1.04 [pos('L.1','L')]).
% 0.66/1.04 cnf('0.20.0.1',plain,
% 0.66/1.04 ( add(X1,add(X1,X2)) = X2 ),
% 0.66/1.04 inference(reduction,[status(thm)],['0.20.0.0','0.3.2.0',theory(equality)]),
% 0.66/1.04 [pos('R','L')]).
% 0.66/1.04 cnf('0.20.1.0',plain,
% 0.66/1.04 ( add(X1,add(X1,X2)) = X2 ),
% 0.66/1.04 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.66/1.04 [weight('<41,19,14,[0,0,0,1]>')]).
% 0.66/1.04 cnf('0.20.2.0',plain,
% 0.66/1.04 ( add(X1,add(X1,X2)) = X2 ),
% 0.66/1.04 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.66/1.04 [u,rule_19]).
% 0.66/1.04 cnf('0.21.0.0',plain,
% 0.66/1.04 ( X1 = add(X2,add(X1,X2)) ),
% 0.66/1.04 inference(cp,[status(thm)],['0.20.2.0','0.13.2.0',theory(equality)]),
% 0.66/1.04 [pos('L.2','L')]).
% 0.66/1.04 cnf('0.21.1.0',plain,
% 0.66/1.04 ( X1 = add(X2,add(X1,X2)) ),
% 0.66/1.04 inference(weigh,[status(thm)],['0.21.0.0']),
% 0.66/1.04 [weight('<41,20,13,[1,0,0,2]>')]).
% 0.66/1.04 cnf('0.21.2.0',plain,
% 0.66/1.04 ( add(X1,add(X2,X1)) = X2 ),
% 0.66/1.04 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.66/1.04 [x,rule_20]).
% 0.66/1.04 cnf('0.23.0.0',plain,
% 0.66/1.04 ( multiply(X1,add(X1,X2)) = add(X1,multiply(X1,X2)) ),
% 0.66/1.04 inference(cp,[status(thm)],['0.6.2.0','0.1.2.0',theory(equality)]),
% 0.66/1.04 [pos('L.1','L')]).
% 0.66/1.04 cnf('0.23.1.0',plain,
% 0.66/1.04 ( multiply(X1,add(X1,X2)) = add(X1,multiply(X1,X2)) ),
% 0.66/1.04 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.66/1.04 [weight('<65,6,1,[1,0,0,1]>')]).
% 0.66/1.04 cnf('0.23.2.0',plain,
% 0.66/1.04 ( multiply(X1,add(X1,X2)) = add(X1,multiply(X1,X2)) ),
% 0.66/1.04 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.66/1.04 [u,rule_22]).
% 0.66/1.04 cnf('0.24.0.0',plain,
% 0.66/1.04 ( multiply(X1,add(X2,X1)) = add(multiply(X1,X2),X1) ),
% 0.66/1.04 inference(cp,[status(thm)],['0.6.2.0','0.1.2.0',theory(equality)]),
% 0.66/1.04 [pos('L.2','L')]).
% 0.66/1.04 cnf('0.24.1.0',plain,
% 0.66/1.04 ( multiply(X1,add(X2,X1)) = add(multiply(X1,X2),X1) ),
% 0.66/1.04 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.66/1.04 [weight('<65,6,1,[1,0,0,4]>')]).
% 0.66/1.04 cnf('0.24.1.1',plain,
% 0.66/1.04 ( multiply(X1,add(X2,X1)) = add(X1,multiply(X1,X2)) ),
% 0.66/1.04 inference(reduction,[status(thm)],['0.24.1.0','0.13.2.0',theory(equality)]),
% 0.66/1.04 [pos('R','L')]).
% 0.66/1.04 cnf('0.24.2.0',plain,
% 0.66/1.04 ( multiply(X1,add(X2,X1)) = add(X1,multiply(X1,X2)) ),
% 0.66/1.04 inference(orient,[status(thm)],['0.24.1.1',theory(equality)]),
% 0.66/1.04 [u,rule_23]).
% 0.66/1.04 cnf('0.26.0.0',plain,
% 0.66/1.04 ( multiply(add(X1,X2),X2) = add(multiply(X1,X2),X2) ),
% 0.66/1.04 inference(cp,[status(thm)],['0.9.2.0','0.1.2.0',theory(equality)]),
% 0.66/1.04 [pos('L.2','L')]).
% 0.66/1.04 cnf('0.26.1.0',plain,
% 0.66/1.04 ( multiply(add(X1,X2),X2) = add(multiply(X1,X2),X2) ),
% 0.66/1.04 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.66/1.04 [weight('<65,9,1,[1,0,0,4]>')]).
% 0.66/1.04 cnf('0.26.1.1',plain,
% 0.66/1.04 ( multiply(add(X1,X2),X2) = add(X2,multiply(X1,X2)) ),
% 0.66/1.04 inference(reduction,[status(thm)],['0.26.1.0','0.13.2.0',theory(equality)]),
% 0.66/1.04 [pos('R','L')]).
% 0.66/1.04 cnf('0.26.2.0',plain,
% 0.66/1.04 ( multiply(add(X1,X2),X2) = add(X2,multiply(X1,X2)) ),
% 0.66/1.04 inference(orient,[status(thm)],['0.26.1.1',theory(equality)]),
% 0.66/1.04 [u,rule_25]).
% 0.66/1.04 cnf('0.27.0.0',plain,
% 0.66/1.04 ( add(add(X1,X2),multiply(X2,add(X1,X2))) = multiply(X1,add(X1,X2)) ),
% 0.66/1.04 inference(cp,[status(thm)],['0.26.2.0','0.21.2.0',theory(equality)]),
% 0.66/1.04 [pos('L.1','L')]).
% 0.66/1.04 cnf('0.27.0.1',plain,
% 0.66/1.04 ( add(X1,add(X2,multiply(X2,add(X1,X2)))) = multiply(X1,add(X1,X2)) ),
% 0.66/1.04 inference(reduction,[status(thm)],['0.27.0.0','0.14.2.0',theory(equality)]),
% 0.66/1.04 [pos('L','L')]).
% 0.66/1.04 cnf('0.27.0.2',plain,
% 0.66/1.04 ( add(X1,add(X2,add(X2,multiply(X2,X1)))) = multiply(X1,add(X1,X2)) ),
% 0.66/1.04 inference(reduction,[status(thm)],['0.27.0.1','0.24.2.0',theory(equality)]),
% 0.66/1.04 [pos('L.2.2','L')]).
% 0.66/1.04 cnf('0.27.0.3',plain,
% 0.66/1.04 ( add(X1,multiply(X2,X1)) = multiply(X1,add(X1,X2)) ),
% 0.66/1.04 inference(reduction,[status(thm)],['0.27.0.2','0.20.2.0',theory(equality)]),
% 0.66/1.04 [pos('L.2','L')]).
% 0.66/1.04 cnf('0.27.0.4',plain,
% 0.66/1.04 ( add(X1,multiply(X2,X1)) = add(X1,multiply(X1,X2)) ),
% 0.66/1.04 inference(reduction,[status(thm)],['0.27.0.3','0.23.2.0',theory(equality)]),
% 0.66/1.04 [pos('R','L')]).
% 0.66/1.04 cnf('0.27.1.0',plain,
% 0.66/1.04 ( multiply(X2,X1) = multiply(X1,X2) ),
% 0.66/1.04 inference(weigh,[status(thm)],['0.27.0.4']),
% 0.66/1.04 [weight('<48,26,21,[1,0,0,1]>')]).
% 0.66/1.04 cnf('0.27.2.0',plain,
% 0.66/1.04 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.66/1.04 inference(activate,[status(thm)],['0.27.1.0']),
% 0.66/1.04 [equation_2]).
% 0.66/1.04 cnf('1.0.0.0',conjecture,
% 0.66/1.04 ( multiply(b,a) = c ),
% 0.66/1.04 file('/tmp/WALDMEISTER_13129_n022',conjecture_1)).
% 0.66/1.04 cnf('1.0.0.1',plain,
% 0.66/1.04 ( multiply(b,a) = multiply(a,b) ),
% 0.66/1.04 inference(reduction,[status(thm)],['1.0.0.0','0.12.2.0',theory(equality)]),
% 0.66/1.04 [pos('R','L')]).
% 0.66/1.04 cnf('1.0.0.2',plain,
% 0.66/1.04 ( multiply(b,a) = multiply(b,a) ),
% 0.66/1.04 inference(reduction,[status(thm)],['1.0.0.1','0.27.2.0',theory(equality)]),
% 0.66/1.04 [pos('R','L')]).
% 0.66/1.04 cnf('1.0.0.3',plain,
% 0.66/1.04 ( $true ),
% 0.66/1.04 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.66/1.04 [conjecture_1]).
% 0.66/1.04
% 0.66/1.04 Proved Goals:
% 0.66/1.04 No. 1: multiply(b,a) ?= c joined, current: multiply(b,a) = multiply(b,a)
% 0.66/1.04 1 goal was specified, which was proved.
% 0.66/1.04 % SZS output end CNFRefutation
% 0.66/1.04 #END OF PROOF
% 0.66/1.04
% 0.66/1.04 Problem WALDMEISTER_13129_n022
% 0.66/1.04 CPs.gen 185
% 0.66/1.04 CPs.reexp 0
% 0.66/1.04 Select 30
% 0.66/1.04 R 25
% 0.66/1.04 E 2
% 0.66/1.04 vsize 6.5M
% 0.66/1.04 rss 3.5M
% 0.66/1.04 process.time 0.003s
% 0.66/1.04 wallclock.time 0.003s
% 0.66/1.04 status S
% 0.66/1.04
% 0.66/1.04
% 0.66/1.04 Waldmeister states: Goal proved.
% 0.66/1.04 % SZS status Unsatisfiable
%------------------------------------------------------------------------------