TSTP Solution File: GRP710-10 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP710-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n013.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 : Sat Jul 16 12:28:12 EDT 2022
% Result : Unsatisfiable 0.58s 0.99s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP710-10 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n013.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 : Tue Jun 14 12:52:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.58/0.98 ********************************************************************************
% 0.58/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.98 * |/ | \/ | *
% 0.58/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.98 * A. Jaeger and B. Loechner | | *
% 0.58/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.98 ********************************************************************************
% 0.58/0.98
% 0.58/0.98
% 0.58/0.98 Goals:
% 0.58/0.98 ------
% 0.58/0.98
% 0.58/0.98 ( 1) true ?= false
% 0.58/0.98 using narrowing to prove mult(x0,x1) ?= x1
% 0.58/0.98
% 0.58/0.98 Detected structure: Praeloop
% 0.58/0.98 ********************************************************************************
% 0.58/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.98 ********************************************************************************
% 0.58/0.98
% 0.58/0.99 joined goal: 1 mult(x0,x1) ?= x1 to false
% 0.58/0.99 goal joined
% 0.58/0.99 % SZS status Unsatisfiable
% 0.58/0.99 #START OF PROOF
% 0.58/0.99 % SZS output start CNFRefutation
% 0.58/0.99 cnf('0.1.0.0',axiom,
% 0.58/0.99 ( X1 = mult(X1,unit) ),
% 0.58/0.99 file('/tmp/WALDMEISTER_26481_n013')).
% 0.58/0.99 cnf('0.1.1.0',plain,
% 0.58/0.99 ( X1 = mult(X1,unit) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.58/0.99 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.58/0.99 cnf('0.1.2.0',plain,
% 0.58/0.99 ( mult(X1,unit) = X1 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_1]).
% 0.58/0.99 cnf('0.2.0.0',axiom,
% 0.58/0.99 ( X1 = mult(unit,X1) ),
% 0.58/0.99 file('/tmp/WALDMEISTER_26481_n013')).
% 0.58/0.99 cnf('0.2.1.0',plain,
% 0.58/0.99 ( X1 = mult(unit,X1) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.58/0.99 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.58/0.99 cnf('0.2.2.0',plain,
% 0.58/0.99 ( mult(unit,X1) = X1 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_2]).
% 0.58/0.99 cnf('0.3.0.0',axiom,
% 0.58/0.99 ( mult(X1,mult(X2,mult(X2,X3))) = mult(mult(mult(X1,X2),X2),X3) ),
% 0.58/0.99 file('/tmp/WALDMEISTER_26481_n013')).
% 0.58/0.99 cnf('0.3.1.0',plain,
% 0.58/0.99 ( mult(X1,mult(X2,mult(X2,X3))) = mult(mult(mult(X1,X2),X2),X3) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.58/0.99 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.58/0.99 cnf('0.3.2.0',plain,
% 0.58/0.99 ( mult(mult(mult(X1,X2),X2),X3) = mult(X1,mult(X2,mult(X2,X3))) ),
% 0.58/0.99 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_3]).
% 0.58/0.99 cnf('0.4.0.0',axiom,
% 0.58/0.99 ( mult(X1,i(X1)) = unit ),
% 0.58/0.99 file('/tmp/WALDMEISTER_26481_n013')).
% 0.58/0.99 cnf('0.4.1.0',plain,
% 0.58/0.99 ( mult(X1,i(X1)) = unit ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.58/0.99 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.58/0.99 cnf('0.4.2.0',plain,
% 0.58/0.99 ( mult(X1,i(X1)) = unit ),
% 0.58/0.99 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_4]).
% 0.58/0.99 cnf('0.5.0.0',axiom,
% 0.58/0.99 ( mult(i(X1),X1) = unit ),
% 0.58/0.99 file('/tmp/WALDMEISTER_26481_n013')).
% 0.58/0.99 cnf('0.5.1.0',plain,
% 0.58/0.99 ( mult(i(X1),X1) = unit ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.58/0.99 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.58/0.99 cnf('0.5.2.0',plain,
% 0.58/0.99 ( mult(i(X1),X1) = unit ),
% 0.58/0.99 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_5]).
% 0.58/0.99 cnf('0.6.0.0',axiom,
% 0.58/0.99 ( eq(X1,X1) = true ),
% 0.58/0.99 file('/tmp/WALDMEISTER_26481_n013')).
% 0.58/0.99 cnf('0.6.1.0',plain,
% 0.58/0.99 ( eq(X1,X1) = true ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.58/0.99 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.58/0.99 cnf('0.6.2.0',plain,
% 0.58/0.99 ( eq(X1,X1) = true ),
% 0.58/0.99 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_6]).
% 0.58/0.99 cnf('0.7.0.0',axiom,
% 0.58/0.99 ( eq(mult(x0,X1),x1) = false ),
% 0.58/0.99 file('/tmp/WALDMEISTER_26481_n013')).
% 0.58/0.99 cnf('0.7.1.0',plain,
% 0.58/0.99 ( eq(mult(x0,X1),x1) = false ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.58/0.99 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.58/0.99 cnf('0.7.2.0',plain,
% 0.58/0.99 ( eq(mult(x0,X1),x1) = false ),
% 0.58/0.99 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_7]).
% 0.58/0.99 cnf('0.9.0.0',plain,
% 0.58/0.99 ( mult(X1,mult(X2,mult(X2,unit))) = mult(mult(X1,X2),X2) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.58/0.99 [pos('L','L')]).
% 0.58/0.99 cnf('0.9.0.1',plain,
% 0.58/0.99 ( mult(X1,mult(X2,X2)) = mult(mult(X1,X2),X2) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.9.0.0','0.1.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.2.2','L')]).
% 0.58/0.99 cnf('0.9.1.0',plain,
% 0.58/0.99 ( mult(X1,mult(X2,X2)) = mult(mult(X1,X2),X2) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.9.0.1']),
% 0.58/0.99 [weight('<65,3,1,[1,0,0,0]>')]).
% 0.58/0.99 cnf('0.9.2.0',plain,
% 0.58/0.99 ( mult(mult(X1,X2),X2) = mult(X1,mult(X2,X2)) ),
% 0.58/0.99 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_9]).
% 0.58/0.99 cnf('0.10.0.0',plain,
% 0.58/0.99 ( mult(i(X1),mult(X1,X1)) = mult(unit,X1) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.9.2.0','0.5.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1','L')]).
% 0.58/0.99 cnf('0.10.0.1',plain,
% 0.58/0.99 ( mult(i(X1),mult(X1,X1)) = X1 ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.10.0.0','0.2.2.0',theory(equality)]),
% 0.58/0.99 [pos('R','L')]).
% 0.58/0.99 cnf('0.10.1.0',plain,
% 0.58/0.99 ( mult(i(X1),mult(X1,X1)) = X1 ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.10.0.1']),
% 0.58/0.99 [weight('<55,9,5,[1,0,0,1]>')]).
% 0.58/0.99 cnf('0.10.2.0',plain,
% 0.58/0.99 ( mult(i(X1),mult(X1,X1)) = X1 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_10]).
% 0.58/0.99 cnf('0.11.0.0',plain,
% 0.58/0.99 ( mult(X1,mult(i(X1),i(X1))) = mult(unit,i(X1)) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1','L')]).
% 0.58/0.99 cnf('0.11.0.1',plain,
% 0.58/0.99 ( mult(X1,mult(i(X1),i(X1))) = i(X1) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.11.0.0','0.2.2.0',theory(equality)]),
% 0.58/0.99 [pos('R','L')]).
% 0.58/0.99 cnf('0.11.1.0',plain,
% 0.58/0.99 ( mult(X1,mult(i(X1),i(X1))) = i(X1) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.11.0.1']),
% 0.58/0.99 [weight('<79,9,4,[1,0,0,1]>')]).
% 0.58/0.99 cnf('0.11.2.0',plain,
% 0.58/0.99 ( mult(X1,mult(i(X1),i(X1))) = i(X1) ),
% 0.58/0.99 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_11]).
% 0.58/0.99 cnf('0.12.0.0',plain,
% 0.58/0.99 ( mult(mult(mult(X1,X2),X2),X3) = mult(X1,mult(X2,mult(X2,X3))) ),
% 0.58/0.99 inference(interreduction_right,[status(thm)],['0.3.2.0'])).
% 0.58/0.99 cnf('0.12.0.1',plain,
% 0.58/0.99 ( mult(mult(X1,mult(X2,X2)),X3) = mult(X1,mult(X2,mult(X2,X3))) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.12.0.0','0.9.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1','L')]).
% 0.58/0.99 cnf('0.12.1.0',plain,
% 0.58/0.99 ( mult(mult(X1,mult(X2,X2)),X3) = mult(X1,mult(X2,mult(X2,X3))) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.12.0.1']),
% 0.58/0.99 [weight('<119,3,9,[0,0,0,0]>')]).
% 0.58/0.99 cnf('0.12.2.0',plain,
% 0.58/0.99 ( mult(mult(X1,mult(X2,X2)),X3) = mult(X1,mult(X2,mult(X2,X3))) ),
% 0.58/0.99 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_12]).
% 0.58/0.99 cnf('0.13.0.0',plain,
% 0.58/0.99 ( mult(unit,mult(X1,mult(X1,X2))) = mult(mult(X1,X1),X2) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.12.2.0','0.2.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1','L')]).
% 0.58/0.99 cnf('0.13.0.1',plain,
% 0.58/0.99 ( mult(X1,mult(X1,X2)) = mult(mult(X1,X1),X2) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.13.0.0','0.2.2.0',theory(equality)]),
% 0.58/0.99 [pos('L','L')]).
% 0.58/0.99 cnf('0.13.1.0',plain,
% 0.58/0.99 ( mult(X1,mult(X1,X2)) = mult(mult(X1,X1),X2) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.13.0.1']),
% 0.58/0.99 [weight('<65,12,2,[1,0,0,1]>')]).
% 0.58/0.99 cnf('0.13.2.0',plain,
% 0.58/0.99 ( mult(mult(X1,X1),X2) = mult(X1,mult(X1,X2)) ),
% 0.58/0.99 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_13]).
% 0.58/0.99 cnf('0.15.0.0',plain,
% 0.58/0.99 ( mult(i(X1),mult(X1,mult(X1,X2))) = mult(X1,X2) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.12.2.0','0.10.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1','L')]).
% 0.58/0.99 cnf('0.15.1.0',plain,
% 0.58/0.99 ( mult(i(X1),mult(X1,mult(X1,X2))) = mult(X1,X2) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.58/0.99 [weight('<107,12,10,[1,0,0,1]>')]).
% 0.58/0.99 cnf('0.15.2.0',plain,
% 0.58/0.99 ( mult(i(X1),mult(X1,mult(X1,X2))) = mult(X1,X2) ),
% 0.58/0.99 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_15]).
% 0.58/0.99 cnf('0.16.0.0',plain,
% 0.58/0.99 ( mult(i(X1),mult(X1,X1)) = mult(i(i(X1)),mult(i(X1),X1)) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.15.2.0','0.10.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.2.2','L')]).
% 0.58/0.99 cnf('0.16.0.1',plain,
% 0.58/0.99 ( X1 = mult(i(i(X1)),mult(i(X1),X1)) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.16.0.0','0.10.2.0',theory(equality)]),
% 0.58/0.99 [pos('L','L')]).
% 0.58/0.99 cnf('0.16.0.2',plain,
% 0.58/0.99 ( X1 = mult(i(i(X1)),unit) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.16.0.1','0.5.2.0',theory(equality)]),
% 0.58/0.99 [pos('R.2','L')]).
% 0.58/0.99 cnf('0.16.0.3',plain,
% 0.58/0.99 ( X1 = i(i(X1)) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.16.0.2','0.1.2.0',theory(equality)]),
% 0.58/0.99 [pos('R','L')]).
% 0.58/0.99 cnf('0.16.1.0',plain,
% 0.58/0.99 ( X1 = i(i(X1)) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.16.0.3']),
% 0.58/0.99 [weight('<19,15,10,[1,0,0,5]>')]).
% 0.58/0.99 cnf('0.16.2.0',plain,
% 0.58/0.99 ( i(i(X1)) = X1 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_16]).
% 0.58/0.99 cnf('0.20.0.0',plain,
% 0.58/0.99 ( mult(i(mult(X1,X1)),mult(X1,mult(X1,X2))) = mult(unit,X2) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.12.2.0','0.5.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1','L')]).
% 0.58/0.99 cnf('0.20.0.1',plain,
% 0.58/0.99 ( mult(i(mult(X1,X1)),mult(X1,mult(X1,X2))) = X2 ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.20.0.0','0.2.2.0',theory(equality)]),
% 0.58/0.99 [pos('R','L')]).
% 0.58/0.99 cnf('0.20.1.0',plain,
% 0.58/0.99 ( mult(i(mult(X1,X1)),mult(X1,mult(X1,X2))) = X2 ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.58/0.99 [weight('<131,12,5,[1,0,0,1]>')]).
% 0.58/0.99 cnf('0.20.2.0',plain,
% 0.58/0.99 ( mult(i(mult(X1,X1)),mult(X1,mult(X1,X2))) = X2 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_20]).
% 0.58/0.99 cnf('0.21.0.0',plain,
% 0.58/0.99 ( mult(i(X1),i(X1)) = mult(i(mult(X1,X1)),mult(X1,i(X1))) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.20.2.0','0.11.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.2.2','L')]).
% 0.58/0.99 cnf('0.21.0.1',plain,
% 0.58/0.99 ( mult(i(X1),i(X1)) = mult(i(mult(X1,X1)),unit) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.21.0.0','0.4.2.0',theory(equality)]),
% 0.58/0.99 [pos('R.2','L')]).
% 0.58/0.99 cnf('0.21.0.2',plain,
% 0.58/0.99 ( mult(i(X1),i(X1)) = i(mult(X1,X1)) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.21.0.1','0.1.2.0',theory(equality)]),
% 0.58/0.99 [pos('R','L')]).
% 0.58/0.99 cnf('0.21.1.0',plain,
% 0.58/0.99 ( mult(i(X1),i(X1)) = i(mult(X1,X1)) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.21.0.2']),
% 0.58/0.99 [weight('<59,20,11,[1,0,0,7]>')]).
% 0.58/0.99 cnf('0.21.2.0',plain,
% 0.58/0.99 ( mult(i(X1),i(X1)) = i(mult(X1,X1)) ),
% 0.58/0.99 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_21]).
% 0.58/0.99 cnf('0.23.0.0',plain,
% 0.58/0.99 ( mult(i(X1),mult(i(X1),X2)) = mult(i(mult(X1,X1)),X2) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.13.2.0','0.21.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1','L')]).
% 0.58/0.99 cnf('0.23.1.0',plain,
% 0.58/0.99 ( mult(i(X1),mult(i(X1),X2)) = mult(i(mult(X1,X1)),X2) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.58/0.99 [weight('<111,21,13,[0,0,0,1]>')]).
% 0.58/0.99 cnf('0.23.2.0',plain,
% 0.58/0.99 ( mult(i(X1),mult(i(X1),X2)) = mult(i(mult(X1,X1)),X2) ),
% 0.58/0.99 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_23]).
% 0.58/0.99 cnf('0.24.0.0',plain,
% 0.58/0.99 ( mult(i(mult(X1,X1)),mult(X1,mult(X1,X2))) = mult(i(X1),mult(X1,X2)) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.23.2.0','0.15.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.2','L')]).
% 0.58/0.99 cnf('0.24.0.1',plain,
% 0.58/0.99 ( X2 = mult(i(X1),mult(X1,X2)) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.24.0.0','0.20.2.0',theory(equality)]),
% 0.58/0.99 [pos('L','L')]).
% 0.58/0.99 cnf('0.24.1.0',plain,
% 0.58/0.99 ( X2 = mult(i(X1),mult(X1,X2)) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.24.0.1']),
% 0.58/0.99 [weight('<55,23,15,[1,0,0,3]>')]).
% 0.58/0.99 cnf('0.24.2.0',plain,
% 0.58/0.99 ( mult(i(X1),mult(X1,X2)) = X2 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_24]).
% 0.58/0.99 cnf('0.25.0.0',plain,
% 0.58/0.99 ( X1 = mult(X2,mult(i(X2),X1)) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.24.2.0','0.16.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1','L')]).
% 0.58/0.99 cnf('0.25.1.0',plain,
% 0.58/0.99 ( X1 = mult(X2,mult(i(X2),X1)) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.58/0.99 [weight('<55,24,16,[1,0,0,1]>')]).
% 0.58/0.99 cnf('0.25.2.0',plain,
% 0.58/0.99 ( mult(X1,mult(i(X1),X2)) = X2 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_25]).
% 0.58/0.99 cnf('0.26.0.0',plain,
% 0.58/0.99 ( false = eq(X1,x1) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.7.2.0','0.25.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1','L')]).
% 0.58/0.99 cnf('0.26.1.0',plain,
% 0.58/0.99 ( false = eq(X1,x1) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.58/0.99 [weight('<0,25,7,[0,0,0,1]>')]).
% 0.58/0.99 cnf('0.26.2.0',plain,
% 0.58/0.99 ( eq(X1,x1) = false ),
% 0.58/0.99 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_26]).
% 0.58/0.99 cnf('0.27.0.0',plain,
% 0.58/0.99 ( false = true ),
% 0.58/0.99 inference(cp,[status(thm)],['0.26.2.0','0.6.2.0',theory(equality)]),
% 0.58/0.99 [pos('L','L')]).
% 0.58/0.99 cnf('0.27.1.0',plain,
% 0.58/0.99 ( false = true ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.58/0.99 [weight('<5,26,6,[1,0,0,0]>')]).
% 0.58/0.99 cnf('0.27.2.0',plain,
% 0.58/0.99 ( true = false ),
% 0.58/0.99 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_27]).
% 0.58/0.99 cnf('1.0.0.0',conjecture,
% 0.58/0.99 ( true = false ),
% 0.58/0.99 file('/tmp/WALDMEISTER_26481_n013',conjecture_1)).
% 0.58/0.99 cnf('1.0.0.1',plain,
% 0.58/0.99 ( false = false ),
% 0.58/0.99 inference(reduction,[status(thm)],['1.0.0.0','0.27.2.0',theory(equality)]),
% 0.58/0.99 [pos('L','L')]).
% 0.58/0.99 cnf('1.0.0.2',plain,
% 0.58/0.99 ( $true ),
% 0.58/0.99 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.58/0.99 [conjecture_1]).
% 0.58/0.99
% 0.58/0.99 Proved Goals:
% 0.58/0.99 No. 1: true ?= false, current false ?= false
% 0.58/0.99 using narrowing to prove mult(x0,x1) ?= x1
% 0.58/0.99
% 0.58/0.99 1 goal was specified, which was proved.
% 0.58/0.99 % SZS output end CNFRefutation
% 0.58/0.99 #END OF PROOF
% 0.58/0.99
% 0.58/0.99 Problem WALDMEISTER_26481_n013
% 0.58/0.99 CPs.gen 278
% 0.58/0.99 CPs.reexp 0
% 0.58/0.99 Select 35
% 0.58/0.99 R 27
% 0.58/0.99 E 0
% 0.58/0.99 vsize 6.5M
% 0.58/0.99 rss 3.8M
% 0.58/0.99 process.time 0.004s
% 0.58/0.99 wallclock.time 0.004s
% 0.58/0.99 status S
% 0.58/0.99
% 0.58/0.99
% 0.58/0.99 Waldmeister states: Goal proved.
% 0.58/0.99 % SZS status Unsatisfiable
%------------------------------------------------------------------------------