TSTP Solution File: RNG008-7 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : RNG008-7 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n021.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 0.59s 1.00s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : RNG008-7 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : woody %s
% 0.12/0.34 % Computer : n021.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 11:25:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.59/0.98 ********************************************************************************
% 0.59/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/0.98 * |/ | \/ | *
% 0.59/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/0.98 * A. Jaeger and B. Loechner | | *
% 0.59/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/0.98 ********************************************************************************
% 0.59/0.98
% 0.59/0.98
% 0.59/0.98 Goals:
% 0.59/0.98 ------
% 0.59/0.98
% 0.59/0.98 ( 1) multiply(b,a) ?=? c
% 0.59/0.98
% 0.59/0.98 Detected structure: Ring
% 0.59/0.98 ********************************************************************************
% 0.59/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.59/0.98 ********************************************************************************
% 0.59/0.98
% 0.59/1.00 joined goal: 1 multiply(b,a) ?= c to multiply(b,a)
% 0.59/1.00 goal joined
% 0.59/1.00 % SZS status Unsatisfiable
% 0.59/1.00 #START OF PROOF
% 0.59/1.00 % SZS output start CNFRefutation
% 0.59/1.00 cnf('0.1.0.0',axiom,
% 0.59/1.00 ( X1 = add(X1,additive_identity) ),
% 0.59/1.00 file('/tmp/WALDMEISTER_23600_n021')).
% 0.59/1.00 cnf('0.1.1.0',plain,
% 0.59/1.00 ( X1 = add(X1,additive_identity) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.59/1.00 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.59/1.00 cnf('0.1.2.0',plain,
% 0.59/1.00 ( add(X1,additive_identity) = X1 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_1]).
% 0.59/1.00 cnf('0.2.0.0',axiom,
% 0.59/1.00 ( X1 = add(additive_identity,X1) ),
% 0.59/1.00 file('/tmp/WALDMEISTER_23600_n021')).
% 0.59/1.00 cnf('0.2.1.0',plain,
% 0.59/1.00 ( X1 = add(additive_identity,X1) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.59/1.00 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.59/1.00 cnf('0.2.2.0',plain,
% 0.59/1.00 ( add(additive_identity,X1) = X1 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_2]).
% 0.59/1.00 cnf('0.3.0.0',axiom,
% 0.59/1.00 ( X1 = multiply(X1,X1) ),
% 0.59/1.00 file('/tmp/WALDMEISTER_23600_n021')).
% 0.59/1.00 cnf('0.3.1.0',plain,
% 0.59/1.00 ( X1 = multiply(X1,X1) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.59/1.00 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.59/1.00 cnf('0.3.2.0',plain,
% 0.59/1.00 ( multiply(X1,X1) = X1 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_3]).
% 0.59/1.00 cnf('0.4.0.0',axiom,
% 0.59/1.00 ( add(X1,X2) = add(X2,X1) ),
% 0.59/1.00 file('/tmp/WALDMEISTER_23600_n021')).
% 0.59/1.00 cnf('0.4.1.0',plain,
% 0.59/1.00 ( add(X1,X2) = add(X2,X1) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.59/1.00 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.59/1.00 cnf('0.4.2.0',plain,
% 0.59/1.00 ( add(X1,X2) = add(X2,X1) ),
% 0.59/1.00 inference(activate,[status(thm)],['0.4.1.0']),
% 0.59/1.00 [equation_1]).
% 0.59/1.00 cnf('0.5.0.0',axiom,
% 0.59/1.00 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 0.59/1.00 file('/tmp/WALDMEISTER_23600_n021')).
% 0.59/1.00 cnf('0.5.1.0',plain,
% 0.59/1.00 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.59/1.00 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.59/1.00 cnf('0.5.2.0',plain,
% 0.59/1.00 ( add(add(X1,X2),X3) = add(X1,add(X2,X3)) ),
% 0.59/1.00 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_4]).
% 0.59/1.00 cnf('0.6.0.0',axiom,
% 0.59/1.00 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 0.59/1.00 file('/tmp/WALDMEISTER_23600_n021')).
% 0.59/1.00 cnf('0.6.1.0',plain,
% 0.59/1.00 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.59/1.00 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.59/1.00 cnf('0.6.2.0',plain,
% 0.59/1.00 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 0.59/1.00 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_5]).
% 0.59/1.00 cnf('0.7.0.0',axiom,
% 0.59/1.00 ( add(multiply(X1,X2),multiply(X3,X2)) = multiply(add(X1,X3),X2) ),
% 0.59/1.00 file('/tmp/WALDMEISTER_23600_n021')).
% 0.59/1.00 cnf('0.7.1.0',plain,
% 0.59/1.00 ( add(multiply(X1,X2),multiply(X3,X2)) = multiply(add(X1,X3),X2) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.59/1.00 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.59/1.00 cnf('0.7.2.0',plain,
% 0.59/1.00 ( add(multiply(X1,X2),multiply(X3,X2)) = multiply(add(X1,X3),X2) ),
% 0.59/1.00 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_6]).
% 0.59/1.00 cnf('0.8.0.0',axiom,
% 0.59/1.00 ( add(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,add(X2,X3)) ),
% 0.59/1.00 file('/tmp/WALDMEISTER_23600_n021')).
% 0.59/1.00 cnf('0.8.1.0',plain,
% 0.59/1.00 ( add(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,add(X2,X3)) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.59/1.00 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.59/1.00 cnf('0.8.2.0',plain,
% 0.59/1.00 ( add(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,add(X2,X3)) ),
% 0.59/1.00 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_7]).
% 0.59/1.00 cnf('0.9.0.0',axiom,
% 0.59/1.00 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.59/1.00 file('/tmp/WALDMEISTER_23600_n021')).
% 0.59/1.00 cnf('0.9.1.0',plain,
% 0.59/1.00 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.59/1.00 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.59/1.00 cnf('0.9.2.0',plain,
% 0.59/1.00 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.59/1.00 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_8]).
% 0.59/1.00 cnf('0.10.0.0',axiom,
% 0.59/1.00 ( multiply(a,b) = c ),
% 0.59/1.00 file('/tmp/WALDMEISTER_23600_n021')).
% 0.59/1.00 cnf('0.10.1.0',plain,
% 0.59/1.00 ( multiply(a,b) = c ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.59/1.00 [weight('<10,0,0,[0,0,0,11]>')]).
% 0.59/1.00 cnf('0.10.2.0',plain,
% 0.59/1.00 ( c = multiply(a,b) ),
% 0.59/1.00 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_9]).
% 0.59/1.00 cnf('0.12.0.0',plain,
% 0.59/1.00 ( multiply(X1,multiply(X1,X2)) = multiply(X1,X2) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.9.2.0','0.3.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.12.1.0',plain,
% 0.59/1.00 ( multiply(X1,multiply(X1,X2)) = multiply(X1,X2) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.59/1.00 [weight('<53,9,3,[1,0,0,1]>')]).
% 0.59/1.00 cnf('0.12.2.0',plain,
% 0.59/1.00 ( multiply(X1,multiply(X1,X2)) = multiply(X1,X2) ),
% 0.59/1.00 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_11]).
% 0.59/1.00 cnf('0.13.0.0',plain,
% 0.59/1.00 ( add(X1,add(additive_inverse(X1),X2)) = add(additive_identity,X2) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.5.2.0','0.6.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.13.0.1',plain,
% 0.59/1.00 ( add(X1,add(additive_inverse(X1),X2)) = X2 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.13.0.0','0.2.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.13.1.0',plain,
% 0.59/1.00 ( add(X1,add(additive_inverse(X1),X2)) = X2 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.13.0.1']),
% 0.59/1.00 [weight('<55,6,5,[0,0,0,1]>')]).
% 0.59/1.00 cnf('0.13.2.0',plain,
% 0.59/1.00 ( add(X1,add(additive_inverse(X1),X2)) = X2 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_12]).
% 0.59/1.00 cnf('0.14.0.0',plain,
% 0.59/1.00 ( additive_inverse(additive_inverse(X1)) = add(X1,additive_identity) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.13.2.0','0.6.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.14.0.1',plain,
% 0.59/1.00 ( additive_inverse(additive_inverse(X1)) = X1 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.14.0.0','0.1.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.14.1.0',plain,
% 0.59/1.00 ( additive_inverse(additive_inverse(X1)) = X1 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.14.0.1']),
% 0.59/1.00 [weight('<19,13,6,[1,0,0,2]>')]).
% 0.59/1.00 cnf('0.14.2.0',plain,
% 0.59/1.00 ( additive_inverse(additive_inverse(X1)) = X1 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_13]).
% 0.59/1.00 cnf('0.15.0.0',plain,
% 0.59/1.00 ( X1 = add(X2,add(X1,additive_inverse(X2))) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.13.2.0','0.4.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.15.1.0',plain,
% 0.59/1.00 ( X1 = add(X2,add(X1,additive_inverse(X2))) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.59/1.00 [weight('<55,13,4,[1,0,0,2]>')]).
% 0.59/1.00 cnf('0.15.2.0',plain,
% 0.59/1.00 ( add(X1,add(X2,additive_inverse(X1))) = X2 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_14]).
% 0.59/1.00 cnf('0.17.0.0',plain,
% 0.59/1.00 ( X1 = add(additive_inverse(X2),add(X1,X2)) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.15.2.0','0.14.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2.2','L')]).
% 0.59/1.00 cnf('0.17.1.0',plain,
% 0.59/1.00 ( X1 = add(additive_inverse(X2),add(X1,X2)) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.59/1.00 [weight('<55,15,14,[1,0,0,4]>')]).
% 0.59/1.00 cnf('0.17.2.0',plain,
% 0.59/1.00 ( add(additive_inverse(X1),add(X2,X1)) = X2 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_16]).
% 0.59/1.00 cnf('0.23.0.0',plain,
% 0.59/1.00 ( multiply(add(X1,X2),X1) = add(X1,multiply(X2,X1)) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.7.2.0','0.3.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.23.1.0',plain,
% 0.59/1.00 ( multiply(add(X1,X2),X1) = add(X1,multiply(X2,X1)) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.59/1.00 [weight('<65,7,3,[1,0,0,1]>')]).
% 0.59/1.00 cnf('0.23.2.0',plain,
% 0.59/1.00 ( add(X1,multiply(X2,X1)) = multiply(add(X1,X2),X1) ),
% 0.59/1.00 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_22]).
% 0.59/1.00 cnf('0.25.0.0',plain,
% 0.59/1.00 ( multiply(X1,add(X1,X2)) = add(X1,multiply(X1,X2)) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.8.2.0','0.3.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.25.1.0',plain,
% 0.59/1.00 ( multiply(X1,add(X1,X2)) = add(X1,multiply(X1,X2)) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.59/1.00 [weight('<65,8,3,[1,0,0,1]>')]).
% 0.59/1.00 cnf('0.25.2.0',plain,
% 0.59/1.00 ( add(X1,multiply(X1,X2)) = multiply(X1,add(X1,X2)) ),
% 0.59/1.00 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_24]).
% 0.59/1.00 cnf('0.26.0.0',plain,
% 0.59/1.00 ( multiply(X1,add(X1,X1)) = add(X1,X1) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.25.2.0','0.3.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.26.1.0',plain,
% 0.59/1.00 ( multiply(X1,add(X1,X1)) = add(X1,X1) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.59/1.00 [weight('<53,25,3,[1,0,0,2]>')]).
% 0.59/1.00 cnf('0.26.2.0',plain,
% 0.59/1.00 ( multiply(X1,add(X1,X1)) = add(X1,X1) ),
% 0.59/1.00 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_25]).
% 0.59/1.00 cnf('0.30.0.0',plain,
% 0.59/1.00 ( multiply(X1,add(multiply(X1,X2),X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.8.2.0','0.12.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.30.0.1',plain,
% 0.59/1.00 ( multiply(X1,add(multiply(X1,X2),X3)) = multiply(X1,add(X2,X3)) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.30.0.0','0.8.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.30.1.0',plain,
% 0.59/1.00 ( multiply(X1,add(multiply(X1,X2),X3)) = multiply(X1,add(X2,X3)) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.30.0.1']),
% 0.59/1.00 [weight('<103,12,8,[0,0,0,1]>')]).
% 0.59/1.00 cnf('0.30.2.0',plain,
% 0.59/1.00 ( multiply(X1,add(multiply(X1,X2),X3)) = multiply(X1,add(X2,X3)) ),
% 0.59/1.00 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_29]).
% 0.59/1.00 cnf('0.31.0.0',plain,
% 0.59/1.00 ( multiply(X1,add(X2,multiply(X1,X3))) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.8.2.0','0.12.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.31.0.1',plain,
% 0.59/1.00 ( multiply(X1,add(X2,multiply(X1,X3))) = multiply(X1,add(X2,X3)) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.31.0.0','0.8.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.31.1.0',plain,
% 0.59/1.00 ( multiply(X1,add(X2,multiply(X1,X3))) = multiply(X1,add(X2,X3)) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.31.0.1']),
% 0.59/1.00 [weight('<103,12,8,[0,0,0,4]>')]).
% 0.59/1.00 cnf('0.31.2.0',plain,
% 0.59/1.00 ( multiply(X1,add(X2,multiply(X1,X3))) = multiply(X1,add(X2,X3)) ),
% 0.59/1.00 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_30]).
% 0.59/1.00 cnf('0.36.0.0',plain,
% 0.59/1.00 ( multiply(X1,add(X2,X2)) = multiply(X1,multiply(add(X2,X1),X2)) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.31.2.0','0.23.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.36.1.0',plain,
% 0.59/1.00 ( multiply(X1,add(X2,X2)) = multiply(X1,multiply(add(X2,X1),X2)) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.36.0.0']),
% 0.59/1.00 [weight('<103,31,23,[1,0,0,2]>')]).
% 0.59/1.00 cnf('0.36.2.0',plain,
% 0.59/1.00 ( multiply(X1,multiply(add(X2,X1),X2)) = multiply(X1,add(X2,X2)) ),
% 0.59/1.00 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_35]).
% 0.59/1.00 cnf('0.39.0.0',plain,
% 0.59/1.00 ( multiply(additive_inverse(X1),add(X1,X1)) = multiply(additive_inverse(X1),multiply(additive_identity,X1)) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.36.2.0','0.6.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2.1','L')]).
% 0.59/1.00 cnf('0.39.1.0',plain,
% 0.59/1.00 ( multiply(additive_inverse(X1),add(X1,X1)) = multiply(additive_inverse(X1),multiply(additive_identity,X1)) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.39.0.0']),
% 0.59/1.00 [weight('<90,36,6,[1,0,0,3]>')]).
% 0.59/1.00 cnf('0.39.2.0',plain,
% 0.59/1.00 ( multiply(additive_inverse(X1),add(X1,X1)) = multiply(additive_inverse(X1),multiply(additive_identity,X1)) ),
% 0.59/1.00 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_38]).
% 0.59/1.00 cnf('0.40.0.0',plain,
% 0.59/1.00 ( multiply(add(add(X1,X1),additive_inverse(X1)),add(X1,X1)) = add(add(X1,X1),multiply(additive_inverse(X1),multiply(additive_identity,X1))) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.23.2.0','0.39.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.40.0.1',plain,
% 0.59/1.00 ( multiply(add(X1,add(X1,additive_inverse(X1))),add(X1,X1)) = add(add(X1,X1),multiply(additive_inverse(X1),multiply(additive_identity,X1))) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.40.0.0','0.5.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.40.0.2',plain,
% 0.59/1.00 ( multiply(X1,add(X1,X1)) = add(add(X1,X1),multiply(additive_inverse(X1),multiply(additive_identity,X1))) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.40.0.1','0.15.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.40.0.3',plain,
% 0.59/1.00 ( add(X1,X1) = add(add(X1,X1),multiply(additive_inverse(X1),multiply(additive_identity,X1))) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.40.0.2','0.26.2.0',theory(equality)]),
% 0.59/1.00 [pos('L','L')]).
% 0.59/1.00 cnf('0.40.0.4',plain,
% 0.59/1.00 ( add(X1,X1) = add(X1,add(X1,multiply(additive_inverse(X1),multiply(additive_identity,X1)))) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.40.0.3','0.5.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.40.1.0',plain,
% 0.59/1.00 ( X1 = add(X1,multiply(additive_inverse(X1),multiply(additive_identity,X1))) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.40.0.4']),
% 0.59/1.00 [weight('<89,39,23,[0,0,0,2]>')]).
% 0.59/1.00 cnf('0.40.2.0',plain,
% 0.59/1.00 ( add(X1,multiply(additive_inverse(X1),multiply(additive_identity,X1))) = X1 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_39]).
% 0.59/1.00 cnf('0.41.0.0',plain,
% 0.59/1.00 ( multiply(additive_inverse(additive_inverse(X1)),multiply(additive_identity,additive_inverse(X1))) = add(X1,additive_inverse(X1)) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.13.2.0','0.40.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.41.0.1',plain,
% 0.59/1.00 ( multiply(X1,multiply(additive_identity,additive_inverse(X1))) = add(X1,additive_inverse(X1)) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.41.0.0','0.14.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.41.0.2',plain,
% 0.59/1.00 ( multiply(X1,multiply(additive_identity,additive_inverse(X1))) = additive_identity ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.41.0.1','0.6.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.41.1.0',plain,
% 0.59/1.00 ( multiply(X1,multiply(additive_identity,additive_inverse(X1))) = additive_identity ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.41.0.2']),
% 0.59/1.00 [weight('<55,40,13,[0,0,0,2]>')]).
% 0.59/1.00 cnf('0.41.2.0',plain,
% 0.59/1.00 ( multiply(X1,multiply(additive_identity,additive_inverse(X1))) = additive_identity ),
% 0.59/1.00 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_40]).
% 0.59/1.00 cnf('0.42.0.0',plain,
% 0.59/1.00 ( multiply(X1,multiply(additive_identity,additive_inverse(X1))) = multiply(X1,additive_identity) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.12.2.0','0.41.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.42.0.1',plain,
% 0.59/1.00 ( additive_identity = multiply(X1,additive_identity) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.42.0.0','0.41.2.0',theory(equality)]),
% 0.59/1.00 [pos('L','L')]).
% 0.59/1.00 cnf('0.42.1.0',plain,
% 0.59/1.00 ( additive_identity = multiply(X1,additive_identity) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.42.0.1']),
% 0.59/1.00 [weight('<19,41,12,[0,0,0,2]>')]).
% 0.59/1.00 cnf('0.42.2.0',plain,
% 0.59/1.00 ( multiply(X1,additive_identity) = additive_identity ),
% 0.59/1.00 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_41]).
% 0.59/1.00 cnf('0.43.0.0',plain,
% 0.59/1.00 ( multiply(X1,multiply(additive_identity,X2)) = multiply(additive_identity,X2) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.9.2.0','0.42.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.43.1.0',plain,
% 0.59/1.00 ( multiply(X1,multiply(additive_identity,X2)) = multiply(additive_identity,X2) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.43.0.0']),
% 0.59/1.00 [weight('<53,42,9,[0,0,0,1]>')]).
% 0.59/1.00 cnf('0.43.2.0',plain,
% 0.59/1.00 ( multiply(X1,multiply(additive_identity,X2)) = multiply(additive_identity,X2) ),
% 0.59/1.00 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_42]).
% 0.59/1.00 cnf('0.44.0.0',plain,
% 0.59/1.00 ( multiply(X1,multiply(additive_identity,additive_inverse(X1))) = additive_identity ),
% 0.59/1.00 inference(interreduction_right,[status(thm)],['0.41.2.0'])).
% 0.59/1.00 cnf('0.44.0.1',plain,
% 0.59/1.00 ( multiply(additive_identity,additive_inverse(X1)) = additive_identity ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.44.0.0','0.43.2.0',theory(equality)]),
% 0.59/1.00 [pos('L','L')]).
% 0.59/1.00 cnf('0.44.1.0',plain,
% 0.59/1.00 ( multiply(additive_identity,additive_inverse(X1)) = additive_identity ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.44.0.1']),
% 0.59/1.00 [weight('<29,41,43,[0,0,0,0]>')]).
% 0.59/1.00 cnf('0.44.2.0',plain,
% 0.59/1.00 ( multiply(additive_identity,additive_inverse(X1)) = additive_identity ),
% 0.59/1.00 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_43]).
% 0.59/1.00 cnf('0.45.0.0',plain,
% 0.59/1.00 ( additive_identity = multiply(additive_identity,X1) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.44.2.0','0.14.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.45.1.0',plain,
% 0.59/1.00 ( additive_identity = multiply(additive_identity,X1) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.45.0.0']),
% 0.59/1.00 [weight('<19,44,14,[1,0,0,2]>')]).
% 0.59/1.00 cnf('0.45.2.0',plain,
% 0.59/1.00 ( multiply(additive_identity,X1) = additive_identity ),
% 0.59/1.00 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_44]).
% 0.59/1.00 cnf('0.46.0.0',plain,
% 0.59/1.00 ( multiply(additive_inverse(X1),add(X1,X1)) = multiply(additive_inverse(X1),multiply(additive_identity,X1)) ),
% 0.59/1.00 inference(interreduction_right,[status(thm)],['0.39.2.0'])).
% 0.59/1.00 cnf('0.46.0.1',plain,
% 0.59/1.00 ( multiply(additive_inverse(X1),add(X1,X1)) = multiply(additive_identity,X1) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.46.0.0','0.43.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.46.1.0',plain,
% 0.59/1.00 ( multiply(additive_inverse(X1),add(X1,X1)) = multiply(additive_identity,X1) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.46.0.1']),
% 0.59/1.00 [weight('<69,39,43,[0,0,0,0]>')]).
% 0.59/1.00 cnf('0.46.1.1',plain,
% 0.59/1.00 ( multiply(additive_inverse(X1),add(X1,X1)) = additive_identity ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.46.1.0','0.45.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.46.2.0',plain,
% 0.59/1.00 ( multiply(additive_inverse(X1),add(X1,X1)) = additive_identity ),
% 0.59/1.00 inference(orient,[status(thm)],['0.46.1.1',theory(equality)]),
% 0.59/1.00 [u,rule_45]).
% 0.59/1.00 cnf('0.47.0.0',plain,
% 0.59/1.00 ( multiply(additive_inverse(X1),add(additive_inverse(X1),add(X1,X1))) = add(additive_inverse(X1),additive_identity) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.25.2.0','0.46.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.47.0.1',plain,
% 0.59/1.00 ( multiply(additive_inverse(X1),X1) = add(additive_inverse(X1),additive_identity) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.47.0.0','0.17.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.47.0.2',plain,
% 0.59/1.00 ( multiply(additive_inverse(X1),X1) = additive_inverse(X1) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.47.0.1','0.1.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.47.1.0',plain,
% 0.59/1.00 ( multiply(additive_inverse(X1),X1) = additive_inverse(X1) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.47.0.2']),
% 0.59/1.00 [weight('<34,46,25,[0,0,0,2]>')]).
% 0.59/1.00 cnf('0.47.2.0',plain,
% 0.59/1.00 ( multiply(additive_inverse(X1),X1) = additive_inverse(X1) ),
% 0.59/1.00 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_46]).
% 0.59/1.00 cnf('0.48.0.0',plain,
% 0.59/1.00 ( additive_inverse(additive_inverse(X1)) = multiply(X1,additive_inverse(X1)) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.47.2.0','0.14.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.48.0.1',plain,
% 0.59/1.00 ( X1 = multiply(X1,additive_inverse(X1)) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.48.0.0','0.14.2.0',theory(equality)]),
% 0.59/1.00 [pos('L','L')]).
% 0.59/1.00 cnf('0.48.1.0',plain,
% 0.59/1.00 ( X1 = multiply(X1,additive_inverse(X1)) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.48.0.1']),
% 0.59/1.00 [weight('<29,47,14,[1,0,0,1]>')]).
% 0.59/1.00 cnf('0.48.2.0',plain,
% 0.59/1.00 ( multiply(X1,additive_inverse(X1)) = X1 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_47]).
% 0.59/1.00 cnf('0.49.0.0',plain,
% 0.59/1.00 ( multiply(X1,add(X1,additive_inverse(X1))) = add(X1,X1) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.25.2.0','0.48.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.49.0.1',plain,
% 0.59/1.00 ( multiply(X1,additive_identity) = add(X1,X1) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.49.0.0','0.6.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.49.0.2',plain,
% 0.59/1.00 ( additive_identity = add(X1,X1) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.49.0.1','0.42.2.0',theory(equality)]),
% 0.59/1.00 [pos('L','L')]).
% 0.59/1.00 cnf('0.49.1.0',plain,
% 0.59/1.00 ( additive_identity = add(X1,X1) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.49.0.2']),
% 0.59/1.00 [weight('<19,48,25,[0,0,0,2]>')]).
% 0.59/1.00 cnf('0.49.2.0',plain,
% 0.59/1.00 ( add(X1,X1) = additive_identity ),
% 0.59/1.00 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_48]).
% 0.59/1.00 cnf('0.50.0.0',plain,
% 0.59/1.00 ( additive_inverse(X1) = add(X1,additive_identity) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.13.2.0','0.49.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.50.0.1',plain,
% 0.59/1.00 ( additive_inverse(X1) = X1 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.50.0.0','0.1.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.50.1.0',plain,
% 0.59/1.00 ( additive_inverse(X1) = X1 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.50.0.1']),
% 0.59/1.00 [weight('<11,49,13,[0,0,0,2]>')]).
% 0.59/1.00 cnf('0.50.2.0',plain,
% 0.59/1.00 ( additive_inverse(X1) = X1 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_49]).
% 0.59/1.00 cnf('0.51.0.0',plain,
% 0.59/1.00 ( add(X1,add(additive_inverse(X1),X2)) = X2 ),
% 0.59/1.00 inference(interreduction_right,[status(thm)],['0.13.2.0'])).
% 0.59/1.00 cnf('0.51.0.1',plain,
% 0.59/1.00 ( add(X1,add(X1,X2)) = X2 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.51.0.0','0.50.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2.1','L')]).
% 0.59/1.00 cnf('0.51.1.0',plain,
% 0.59/1.00 ( add(X1,add(X1,X2)) = X2 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.51.0.1']),
% 0.59/1.00 [weight('<41,13,50,[0,0,0,0]>')]).
% 0.59/1.00 cnf('0.51.2.0',plain,
% 0.59/1.00 ( add(X1,add(X1,X2)) = X2 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.51.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_50]).
% 0.59/1.00 cnf('0.53.0.0',plain,
% 0.59/1.00 ( multiply(X1,multiply(add(X2,X1),X2)) = multiply(X1,add(X2,X2)) ),
% 0.59/1.00 inference(interreduction_right,[status(thm)],['0.36.2.0'])).
% 0.59/1.00 cnf('0.53.0.1',plain,
% 0.59/1.00 ( multiply(X1,multiply(add(X2,X1),X2)) = multiply(X1,additive_identity) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.53.0.0','0.49.2.0',theory(equality)]),
% 0.59/1.00 [pos('R.2','L')]).
% 0.59/1.00 cnf('0.53.0.2',plain,
% 0.59/1.00 ( multiply(X1,multiply(add(X2,X1),X2)) = additive_identity ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.53.0.1','0.42.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.53.1.0',plain,
% 0.59/1.00 ( multiply(X1,multiply(add(X2,X1),X2)) = additive_identity ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.53.0.2']),
% 0.59/1.00 [weight('<71,36,49,[0,0,0,0]>')]).
% 0.59/1.00 cnf('0.53.2.0',plain,
% 0.59/1.00 ( multiply(X1,multiply(add(X2,X1),X2)) = additive_identity ),
% 0.59/1.00 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_52]).
% 0.59/1.00 cnf('0.54.0.0',plain,
% 0.59/1.00 ( additive_identity = multiply(X1,multiply(add(X1,X2),X2)) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.53.2.0','0.4.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2.1','L')]).
% 0.59/1.00 cnf('0.54.1.0',plain,
% 0.59/1.00 ( additive_identity = multiply(X1,multiply(add(X1,X2),X2)) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.54.0.0']),
% 0.59/1.00 [weight('<71,53,4,[1,0,0,3]>')]).
% 0.59/1.00 cnf('0.54.2.0',plain,
% 0.59/1.00 ( multiply(X1,multiply(add(X1,X2),X2)) = additive_identity ),
% 0.59/1.00 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_53]).
% 0.59/1.00 cnf('0.55.0.0',plain,
% 0.59/1.00 ( additive_identity = multiply(add(X1,X2),multiply(X2,X1)) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.53.2.0','0.51.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2.1','L')]).
% 0.59/1.00 cnf('0.55.1.0',plain,
% 0.59/1.00 ( additive_identity = multiply(add(X1,X2),multiply(X2,X1)) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.55.0.0']),
% 0.59/1.00 [weight('<71,53,51,[1,0,0,3]>')]).
% 0.59/1.00 cnf('0.55.2.0',plain,
% 0.59/1.00 ( multiply(add(X1,X2),multiply(X2,X1)) = additive_identity ),
% 0.59/1.00 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_54]).
% 0.59/1.00 cnf('0.57.0.0',plain,
% 0.59/1.00 ( additive_identity = multiply(X1,multiply(X2,add(X1,X2))) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.54.2.0','0.51.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2.1','L')]).
% 0.59/1.00 cnf('0.57.1.0',plain,
% 0.59/1.00 ( additive_identity = multiply(X1,multiply(X2,add(X1,X2))) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.57.0.0']),
% 0.59/1.00 [weight('<71,54,51,[1,0,0,3]>')]).
% 0.59/1.00 cnf('0.57.2.0',plain,
% 0.59/1.00 ( multiply(X1,multiply(X2,add(X1,X2))) = additive_identity ),
% 0.59/1.00 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_56]).
% 0.59/1.00 cnf('0.70.0.0',plain,
% 0.59/1.00 ( multiply(X1,add(X1,multiply(X2,add(X1,X2)))) = add(X1,additive_identity) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.25.2.0','0.57.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.70.0.1',plain,
% 0.59/1.00 ( multiply(X1,add(X1,multiply(X2,add(X1,X2)))) = X1 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.70.0.0','0.1.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.70.1.0',plain,
% 0.59/1.00 ( multiply(X1,add(X1,multiply(X2,add(X1,X2)))) = X1 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.70.0.1']),
% 0.59/1.00 [weight('<109,57,25,[0,0,0,2]>')]).
% 0.59/1.00 cnf('0.70.2.0',plain,
% 0.59/1.00 ( multiply(X1,add(X1,multiply(X2,add(X1,X2)))) = X1 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_69]).
% 0.59/1.00 cnf('0.71.0.0',plain,
% 0.59/1.00 ( multiply(X1,X2) = multiply(multiply(X1,X2),add(multiply(X1,X2),multiply(X1,add(X2,X1)))) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.70.2.0','0.30.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2.2','L')]).
% 0.59/1.00 cnf('0.71.0.1',plain,
% 0.59/1.00 ( multiply(X1,X2) = multiply(X1,multiply(X2,add(multiply(X1,X2),multiply(X1,add(X2,X1))))) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.71.0.0','0.9.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.71.0.2',plain,
% 0.59/1.00 ( multiply(X1,X2) = multiply(X1,multiply(X2,multiply(X1,add(X2,add(X2,X1))))) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.71.0.1','0.8.2.0',theory(equality)]),
% 0.59/1.00 [pos('R.2.2','L')]).
% 0.59/1.00 cnf('0.71.0.3',plain,
% 0.59/1.00 ( multiply(X1,X2) = multiply(X1,multiply(X2,multiply(X1,X1))) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.71.0.2','0.51.2.0',theory(equality)]),
% 0.59/1.00 [pos('R.2.2.2','L')]).
% 0.59/1.00 cnf('0.71.0.4',plain,
% 0.59/1.00 ( multiply(X1,X2) = multiply(X1,multiply(X2,X1)) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.71.0.3','0.3.2.0',theory(equality)]),
% 0.59/1.00 [pos('R.2.2','L')]).
% 0.59/1.00 cnf('0.71.1.0',plain,
% 0.59/1.00 ( multiply(X1,X2) = multiply(X1,multiply(X2,X1)) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.71.0.4']),
% 0.59/1.00 [weight('<53,70,30,[1,0,0,4]>')]).
% 0.59/1.00 cnf('0.71.2.0',plain,
% 0.59/1.00 ( multiply(X1,multiply(X2,X1)) = multiply(X1,X2) ),
% 0.59/1.00 inference(orient,[status(thm)],['0.71.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_70]).
% 0.59/1.00 cnf('0.74.0.0',plain,
% 0.59/1.00 ( multiply(X1,multiply(multiply(X2,X1),X3)) = multiply(multiply(X1,X2),X3) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.9.2.0','0.71.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.74.0.1',plain,
% 0.59/1.00 ( multiply(X1,multiply(X2,multiply(X1,X3))) = multiply(multiply(X1,X2),X3) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.74.0.0','0.9.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.74.0.2',plain,
% 0.59/1.00 ( multiply(X1,multiply(X2,multiply(X1,X3))) = multiply(X1,multiply(X2,X3)) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.74.0.1','0.9.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.74.1.0',plain,
% 0.59/1.00 ( multiply(X1,multiply(X2,multiply(X1,X3))) = multiply(X1,multiply(X2,X3)) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.74.0.2']),
% 0.59/1.00 [weight('<103,71,9,[0,0,0,1]>')]).
% 0.59/1.00 cnf('0.74.2.0',plain,
% 0.59/1.00 ( multiply(X1,multiply(X2,multiply(X1,X3))) = multiply(X1,multiply(X2,X3)) ),
% 0.59/1.00 inference(orient,[status(thm)],['0.74.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_73]).
% 0.59/1.00 cnf('0.85.0.0',plain,
% 0.59/1.00 ( multiply(add(X1,X2),multiply(X3,multiply(X2,X1))) = multiply(add(X1,X2),multiply(X3,additive_identity)) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.74.2.0','0.55.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2.2','L')]).
% 0.59/1.00 cnf('0.85.0.1',plain,
% 0.59/1.00 ( multiply(add(X1,X2),multiply(X3,multiply(X2,X1))) = multiply(add(X1,X2),additive_identity) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.85.0.0','0.42.2.0',theory(equality)]),
% 0.59/1.00 [pos('R.2','L')]).
% 0.59/1.00 cnf('0.85.0.2',plain,
% 0.59/1.00 ( multiply(add(X1,X2),multiply(X3,multiply(X2,X1))) = additive_identity ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.85.0.1','0.42.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.85.1.0',plain,
% 0.59/1.00 ( multiply(add(X1,X2),multiply(X3,multiply(X2,X1))) = additive_identity ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.85.0.2']),
% 0.59/1.00 [weight('<109,74,55,[1,0,0,4]>')]).
% 0.59/1.00 cnf('0.85.2.0',plain,
% 0.59/1.00 ( multiply(add(X1,X2),multiply(X3,multiply(X2,X1))) = additive_identity ),
% 0.59/1.00 inference(orient,[status(thm)],['0.85.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_84]).
% 0.59/1.00 cnf('0.90.0.0',plain,
% 0.59/1.00 ( add(X1,add(multiply(X2,X1),X3)) = add(multiply(add(X1,X2),X1),X3) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.5.2.0','0.23.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.90.1.0',plain,
% 0.59/1.00 ( add(X1,add(multiply(X2,X1),X3)) = add(multiply(add(X1,X2),X1),X3) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.90.0.0']),
% 0.59/1.00 [weight('<119,23,5,[0,0,0,1]>')]).
% 0.59/1.00 cnf('0.90.2.0',plain,
% 0.59/1.00 ( add(multiply(add(X1,X2),X1),X3) = add(X1,add(multiply(X2,X1),X3)) ),
% 0.59/1.00 inference(orient,[status(thm)],['0.90.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_89]).
% 0.59/1.00 cnf('0.97.0.0',plain,
% 0.59/1.00 ( add(X1,add(multiply(X2,X1),X3)) = add(multiply(add(X2,X1),X1),X3) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.90.2.0','0.4.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1.1','L')]).
% 0.59/1.00 cnf('0.97.1.0',plain,
% 0.59/1.00 ( add(X1,add(multiply(X2,X1),X3)) = add(multiply(add(X2,X1),X1),X3) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.97.0.0']),
% 0.59/1.00 [weight('<119,90,4,[1,0,0,2]>')]).
% 0.59/1.00 cnf('0.97.2.0',plain,
% 0.59/1.00 ( add(multiply(add(X1,X2),X2),X3) = add(X2,add(multiply(X1,X2),X3)) ),
% 0.59/1.00 inference(orient,[status(thm)],['0.97.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_96]).
% 0.59/1.00 cnf('0.98.0.0',plain,
% 0.59/1.00 ( add(multiply(X1,X2),add(multiply(X2,multiply(X1,X2)),X3)) = add(multiply(multiply(add(X2,X1),X2),multiply(X1,X2)),X3) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.97.2.0','0.23.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1.1','L')]).
% 0.59/1.00 cnf('0.98.0.1',plain,
% 0.59/1.00 ( add(multiply(X1,X2),add(multiply(X2,X1),X3)) = add(multiply(multiply(add(X2,X1),X2),multiply(X1,X2)),X3) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.98.0.0','0.71.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2.1','L')]).
% 0.59/1.00 cnf('0.98.0.2',plain,
% 0.59/1.00 ( add(multiply(X1,X2),add(multiply(X2,X1),X3)) = add(multiply(add(X2,X1),multiply(X2,multiply(X1,X2))),X3) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.98.0.1','0.9.2.0',theory(equality)]),
% 0.59/1.00 [pos('R.1','L')]).
% 0.59/1.00 cnf('0.98.0.3',plain,
% 0.59/1.00 ( add(multiply(X1,X2),add(multiply(X2,X1),X3)) = add(additive_identity,X3) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.98.0.2','0.85.2.0',theory(equality)]),
% 0.59/1.00 [pos('R.1','L')]).
% 0.59/1.00 cnf('0.98.0.4',plain,
% 0.59/1.00 ( add(multiply(X1,X2),add(multiply(X2,X1),X3)) = X3 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.98.0.3','0.2.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.98.1.0',plain,
% 0.59/1.00 ( add(multiply(X1,X2),add(multiply(X2,X1),X3)) = X3 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.98.0.4']),
% 0.59/1.00 [weight('<109,97,23,[1,0,0,2]>')]).
% 0.59/1.00 cnf('0.98.2.0',plain,
% 0.59/1.00 ( add(multiply(X1,X2),add(multiply(X2,X1),X3)) = X3 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.98.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_97]).
% 0.59/1.00 cnf('0.99.0.0',plain,
% 0.59/1.00 ( multiply(X1,X2) = add(multiply(X2,X1),additive_identity) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.98.2.0','0.49.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.99.0.1',plain,
% 0.59/1.00 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.99.0.0','0.1.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.99.1.0',plain,
% 0.59/1.00 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.99.0.1']),
% 0.59/1.00 [weight('<48,98,49,[1,0,0,4]>')]).
% 0.59/1.00 cnf('0.99.2.0',plain,
% 0.59/1.00 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.59/1.00 inference(activate,[status(thm)],['0.99.1.0']),
% 0.59/1.00 [equation_2]).
% 0.59/1.00 cnf('1.0.0.0',conjecture,
% 0.59/1.00 ( multiply(b,a) = c ),
% 0.59/1.00 file('/tmp/WALDMEISTER_23600_n021',conjecture_1)).
% 0.59/1.00 cnf('1.0.0.1',plain,
% 0.59/1.00 ( multiply(b,a) = multiply(a,b) ),
% 0.59/1.00 inference(reduction,[status(thm)],['1.0.0.0','0.10.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('1.0.0.2',plain,
% 0.59/1.00 ( multiply(b,a) = multiply(b,a) ),
% 0.59/1.00 inference(reduction,[status(thm)],['1.0.0.1','0.99.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('1.0.0.3',plain,
% 0.59/1.00 ( $true ),
% 0.59/1.00 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.59/1.00 [conjecture_1]).
% 0.59/1.00
% 0.59/1.00 Proved Goals:
% 0.59/1.00 No. 1: multiply(b,a) ?= c joined, current: multiply(b,a) = multiply(b,a)
% 0.59/1.00 1 goal was specified, which was proved.
% 0.59/1.00 % SZS output end CNFRefutation
% 0.59/1.00 #END OF PROOF
% 0.59/1.00
% 0.59/1.00 Problem WALDMEISTER_23600_n021
% 0.59/1.00 CPs.gen 4043
% 0.59/1.00 CPs.reexp 0
% 0.59/1.00 Select 244
% 0.59/1.00 R 97
% 0.59/1.00 E 2
% 0.59/1.00 vsize 6.5M
% 0.59/1.00 rss 3.8M
% 0.59/1.00 process.time 0.017s
% 0.59/1.00 wallclock.time 0.017s
% 0.59/1.00 status S
% 0.59/1.00
% 0.59/1.00
% 0.59/1.00 Waldmeister states: Goal proved.
% 0.59/1.00 % SZS status Unsatisfiable
%------------------------------------------------------------------------------