%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : ALG236-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n020.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 18:25:34 EDT 2022
% Result : Unsatisfiable 0.68s 1.08s
% Output : CNFRefutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG236-1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n020.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 8 15:17:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.65/1.05 ********************************************************************************
% 0.65/1.05 * W A L D M E I S T E R \| \ / \|/ *
% 0.65/1.05 * |/ | \/ | *
% 0.65/1.05 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.65/1.05 * A. Jaeger and B. Loechner | | *
% 0.65/1.05 * <waldmeister@informatik.uni-kl.de> | *
% 0.65/1.05 ********************************************************************************
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 Goals:
% 0.65/1.05 ------
% 0.65/1.05
% 0.65/1.05 ( 1) mult(mult(a,b),mult(c,mult(d,e))) ?=? mult(a,mult(c,mult(mult(d,b),e)))
% 0.65/1.05
% 0.65/1.05 Detected structure: Orkus
% 0.65/1.05 ********************************************************************************
% 0.65/1.05 ****************************** COMPLETION - PROOF ******************************
% 0.65/1.05 ********************************************************************************
% 0.65/1.05
% 0.68/1.08 joined goal: 1 mult(mult(a,b),mult(c,mult(d,e))) ?= mult(a,mult(c,mult(mult(d,b),e))) to mult(a,mult(c,mult(mult(d,b),e)))
% 0.68/1.08 goal joined
% 0.68/1.08 % SZS status Unsatisfiable
% 0.68/1.08 #START OF PROOF
% 0.68/1.08 % SZS output start CNFRefutation
% 0.68/1.08 cnf('0.1.0.0',axiom,
% 0.68/1.08 ( mult(X1,X2) = mult(X1,mult(X2,mult(X1,X2))) ),
% 0.68/1.08 file('/tmp/WALDMEISTER_1394_n020')).
% 0.68/1.08 cnf('0.1.1.0',plain,
% 0.68/1.08 ( mult(X1,X2) = mult(X1,mult(X2,mult(X1,X2))) ),
% 0.68/1.08 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.68/1.08 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.68/1.08 cnf('0.1.2.0',plain,
% 0.68/1.08 ( mult(X1,mult(X2,mult(X1,X2))) = mult(X1,X2) ),
% 0.68/1.08 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.68/1.08 [x,rule_1]).
% 0.68/1.08 cnf('0.2.0.0',axiom,
% 0.68/1.08 ( mult(X1,mult(X2,mult(X3,X4))) = mult(X3,mult(X2,mult(X1,X4))) ),
% 0.68/1.08 file('/tmp/WALDMEISTER_1394_n020')).
% 0.68/1.08 cnf('0.2.1.0',plain,
% 0.68/1.08 ( mult(X1,mult(X2,mult(X3,X4))) = mult(X3,mult(X2,mult(X1,X4))) ),
% 0.68/1.08 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.68/1.08 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.68/1.08 cnf('0.2.2.0',plain,
% 0.68/1.08 ( mult(X1,mult(X2,mult(X3,X4))) = mult(X3,mult(X2,mult(X1,X4))) ),
% 0.68/1.08 inference(activate,[status(thm)],['0.2.1.0']),
% 0.68/1.08 [equation_1]).
% 0.68/1.08 cnf('0.3.0.0',axiom,
% 0.68/1.08 ( mult(X1,mult(X2,mult(mult(X3,X4),X2))) = mult(mult(X1,mult(X4,mult(X3,X4))),X2) ),
% 0.68/1.08 file('/tmp/WALDMEISTER_1394_n020')).
% 0.68/1.08 cnf('0.3.1.0',plain,
% 0.68/1.08 ( mult(X1,mult(X2,mult(mult(X3,X4),X2))) = mult(mult(X1,mult(X4,mult(X3,X4))),X2) ),
% 0.68/1.08 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.68/1.08 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.68/1.08 cnf('0.3.2.0',plain,
% 0.68/1.08 ( mult(X1,mult(X2,mult(mult(X3,X4),X2))) = mult(mult(X1,mult(X4,mult(X3,X4))),X2) ),
% 0.68/1.08 inference(activate,[status(thm)],['0.3.1.0']),
% 0.68/1.08 [equation_2]).
% 0.68/1.08 cnf('0.4.0.0',plain,
% 0.68/1.08 ( mult(X1,mult(X2,mult(X3,mult(X2,X1)))) = mult(X3,mult(X2,X1)) ),
% 0.68/1.08 inference(cp,[status(thm)],['0.2.2.0','0.1.2.0',theory(equality)]),
% 0.68/1.08 [pos('L.2','L')]).
% 0.68/1.08 cnf('0.4.1.0',plain,
% 0.68/1.08 ( mult(X1,mult(X2,mult(X3,mult(X2,X1)))) = mult(X3,mult(X2,X1)) ),
% 0.68/1.08 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.68/1.08 [weight('<149,2,1,[1,0,0,2]>')]).
% 0.68/1.08 cnf('0.4.2.0',plain,
% 0.68/1.08 ( mult(X1,mult(X2,mult(X3,mult(X2,X1)))) = mult(X3,mult(X2,X1)) ),
% 0.68/1.08 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.68/1.08 [u,rule_2]).
% 0.68/1.08 cnf('0.5.0.0',plain,
% 0.68/1.08 ( mult(X1,mult(X2,mult(X1,X2))) = mult(mult(X1,X2),mult(X2,mult(X1,X2))) ),
% 0.68/1.08 inference(cp,[status(thm)],['0.4.2.0','0.1.2.0',theory(equality)]),
% 0.68/1.08 [pos('L.2.2','L')]).
% 0.68/1.08 cnf('0.5.0.1',plain,
% 0.68/1.08 ( mult(X1,X2) = mult(mult(X1,X2),mult(X2,mult(X1,X2))) ),
% 0.68/1.08 inference(reduction,[status(thm)],['0.5.0.0','0.1.2.0',theory(equality)]),
% 0.68/1.08 [pos('L','L')]).
% 0.68/1.08 cnf('0.5.1.0',plain,
% 0.68/1.08 ( mult(X1,X2) = mult(mult(X1,X2),mult(X2,mult(X1,X2))) ),
% 0.68/1.08 inference(weigh,[status(thm)],['0.5.0.1']),
% 0.68/1.08 [weight('<129,4,1,[1,0,0,4]>')]).
% 0.68/1.08 cnf('0.5.1.1',plain,
% 0.68/1.08 ( mult(X1,X2) = mult(X1,mult(X2,mult(mult(X1,X2),X2))) ),
% 0.68/1.08 inference(reduction,[status(thm)],['0.5.1.0','0.2.2.0',theory(equality)]),
% 0.68/1.08 [pos('R','L')]).
% 0.68/1.08 cnf('0.5.2.0',plain,
% 0.68/1.08 ( mult(X1,mult(X2,mult(mult(X1,X2),X2))) = mult(X1,X2) ),
% 0.68/1.08 inference(orient,[status(thm)],['0.5.1.1',theory(equality)]),
% 0.68/1.08 [x,rule_3]).
% 0.68/1.08 cnf('0.6.0.0',plain,
% 0.68/1.08 ( mult(X1,mult(X2,mult(mult(X1,X3),X2))) = mult(mult(X1,X3),X2) ),
% 0.68/1.08 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.68/1.08 [pos('R.1','L')]).
% 0.68/1.08 cnf('0.6.1.0',plain,
% 0.68/1.08 ( mult(X1,mult(X2,mult(mult(X1,X3),X2))) = mult(mult(X1,X3),X2) ),
% 0.68/1.08 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.68/1.08 [weight('<149,3,1,[1,1,0,1]>')]).
% 0.68/1.08 cnf('0.6.2.0',plain,
% 0.68/1.08 ( mult(X1,mult(X2,mult(mult(X1,X3),X2))) = mult(mult(X1,X3),X2) ),
% 0.68/1.08 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.68/1.08 [u,rule_4]).
% 0.68/1.08 cnf('0.7.0.0',plain,
% 0.68/1.08 ( mult(X1,mult(X2,mult(mult(X1,X2),X2))) = mult(X1,X2) ),
% 0.68/1.08 inference(interreduction_right,[status(thm)],['0.5.2.0'])).
% 0.68/1.08 cnf('0.7.0.1',plain,
% 0.68/1.08 ( mult(mult(X1,X2),X2) = mult(X1,X2) ),
% 0.68/1.08 inference(reduction,[status(thm)],['0.7.0.0','0.6.2.0',theory(equality)]),
% 0.68/1.08 [pos('L','L')]).
% 0.68/1.08 cnf('0.7.1.0',plain,
% 0.68/1.08 ( mult(mult(X1,X2),X2) = mult(X1,X2) ),
% 0.68/1.08 inference(weigh,[status(thm)],['0.7.0.1']),
% 0.68/1.08 [weight('<53,5,6,[0,0,0,0]>')]).
% 0.68/1.08 cnf('0.7.2.0',plain,
% 0.68/1.08 ( mult(mult(X1,X2),X2) = mult(X1,X2) ),
% 0.68/1.08 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.68/1.08 [u,rule_5]).
% 0.68/1.08 cnf('0.8.0.0',plain,
% 0.68/1.08 ( mult(mult(X1,X2),mult(X3,mult(X4,X2))) = mult(X4,mult(X3,mult(X1,X2))) ),
% 0.68/1.08 inference(cp,[status(thm)],['0.2.2.0','0.7.2.0',theory(equality)]),
% 0.68/1.08 [pos('L.2.2','L')]).
% 0.68/1.08 cnf('0.8.1.0',plain,
% 0.68/1.08 ( mult(mult(X1,X2),mult(X3,mult(X4,X2))) = mult(X4,mult(X3,mult(X1,X2))) ),
% 0.68/1.08 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.68/1.08 [weight('<169,7,2,[0,0,0,4]>')]).
% 0.68/1.08 cnf('0.8.2.0',plain,
% 0.68/1.08 ( mult(mult(X1,X2),mult(X3,mult(X4,X2))) = mult(X4,mult(X3,mult(X1,X2))) ),
% 0.68/1.08 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.68/1.08 [u,rule_6]).
% 0.68/1.08 cnf('0.9.0.0',plain,
% 0.68/1.08 ( mult(X1,mult(X2,X3)) = mult(X1,mult(X2,mult(X1,mult(X2,X3)))) ),
% 0.68/1.08 inference(cp,[status(thm)],['0.1.2.0','0.8.2.0',theory(equality)]),
% 0.68/1.08 [pos('L.2','L')]).
% 0.68/1.08 cnf('0.9.1.0',plain,
% 0.68/1.08 ( mult(X1,mult(X2,X3)) = mult(X1,mult(X2,mult(X1,mult(X2,X3)))) ),
% 0.68/1.08 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.68/1.08 [weight('<149,8,1,[0,0,0,2]>')]).
% 0.68/1.08 cnf('0.9.2.0',plain,
% 0.68/1.08 ( mult(X1,mult(X2,mult(X1,mult(X2,X3)))) = mult(X1,mult(X2,X3)) ),
% 0.68/1.08 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.68/1.08 [x,rule_7]).
% 0.68/1.08 cnf('0.13.0.0',plain,
% 0.68/1.08 ( mult(X1,mult(X2,mult(mult(mult(X1,X3),X4),X2))) = mult(mult(mult(X1,X3),X4),X2) ),
% 0.68/1.08 inference(cp,[status(thm)],['0.3.2.0','0.6.2.0',theory(equality)]),
% 0.68/1.08 [pos('R.1','L')]).
% 0.68/1.08 cnf('0.13.1.0',plain,
% 0.68/1.08 ( mult(X1,mult(X2,mult(mult(mult(X1,X3),X4),X2))) = mult(mult(mult(X1,X3),X4),X2) ),
% 0.68/1.08 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.68/1.08 [weight('<227,6,3,[0,0,1,1]>')]).
% 0.68/1.08 cnf('0.13.2.0',plain,
% 0.68/1.08 ( mult(X1,mult(X2,mult(mult(mult(X1,X3),X4),X2))) = mult(mult(mult(X1,X3),X4),X2) ),
% 0.68/1.08 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.68/1.08 [u,rule_11]).
% 0.68/1.08 cnf('0.19.0.0',plain,
% 0.68/1.08 ( mult(X1,mult(X2,mult(X3,mult(mult(X2,X4),X3)))) = mult(X1,mult(X2,mult(X1,mult(mult(X2,X4),X3)))) ),
% 0.68/1.08 inference(cp,[status(thm)],['0.9.2.0','0.6.2.0',theory(equality)]),
% 0.68/1.08 [pos('L.2.2.2','L')]).
% 0.68/1.08 cnf('0.19.0.1',plain,
% 0.68/1.08 ( mult(X1,mult(mult(X2,X4),X3)) = mult(X1,mult(X2,mult(X1,mult(mult(X2,X4),X3)))) ),
% 0.68/1.08 inference(reduction,[status(thm)],['0.19.0.0','0.6.2.0',theory(equality)]),
% 0.68/1.08 [pos('L.2','L')]).
% 0.68/1.08 cnf('0.19.1.0',plain,
% 0.68/1.08 ( mult(X1,mult(mult(X2,X4),X3)) = mult(X1,mult(X2,mult(X1,mult(mult(X2,X4),X3)))) ),
% 0.68/1.08 inference(weigh,[status(thm)],['0.19.0.1']),
% 0.68/1.08 [weight('<227,9,6,[1,0,0,6]>')]).
% 0.68/1.08 cnf('0.19.2.0',plain,
% 0.68/1.08 ( mult(X1,mult(X2,mult(X1,mult(mult(X2,X3),X4)))) = mult(X1,mult(mult(X2,X3),X4)) ),
% 0.68/1.08 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.68/1.08 [x,rule_17]).
% 0.68/1.08 cnf('0.21.0.0',plain,
% 0.68/1.08 ( mult(mult(X1,X2),mult(X3,mult(mult(X4,X2),X3))) = mult(mult(X4,mult(X2,mult(X1,X2))),X3) ),
% 0.68/1.08 inference(cp,[status(thm)],['0.3.2.0','0.8.2.0',theory(equality)]),
% 0.68/1.08 [pos('R.1','L')]).
% 0.68/1.08 cnf('0.21.1.0',plain,
% 0.68/1.08 ( mult(mult(X1,X2),mult(X3,mult(mult(X4,X2),X3))) = mult(mult(X4,mult(X2,mult(X1,X2))),X3) ),
% 0.68/1.08 inference(weigh,[status(thm)],['0.21.0.0']),
% 0.68/1.08 [weight('<251,8,3,[0,0,1,1]>')]).
% 0.68/1.08 cnf('0.21.2.0',plain,
% 0.68/1.08 ( mult(mult(X1,X2),mult(X3,mult(mult(X4,X2),X3))) = mult(mult(X4,mult(X2,mult(X1,X2))),X3) ),
% 0.68/1.08 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.68/1.08 [u,rule_19]).
% 0.68/1.08 cnf('0.22.0.0',plain,
% 0.68/1.08 ( mult(X1,mult(X2,mult(mult(X3,mult(mult(X4,X3),X3)),X2))) = mult(mult(X1,mult(mult(X4,mult(X3,mult(mult(X4,X3),X3))),X3)),X2) ),
% 0.68/1.08 inference(cp,[status(thm)],['0.3.2.0','0.21.2.0',theory(equality)]),
% 0.68/1.08 [pos('R.1.2','L')]).
% 0.68/1.08 cnf('0.22.0.1',plain,
% 0.68/1.08 ( mult(X1,mult(X2,mult(mult(X3,mult(X4,X3)),X2))) = mult(mult(X1,mult(mult(X4,mult(X3,mult(mult(X4,X3),X3))),X3)),X2) ),
% 0.68/1.08 inference(reduction,[status(thm)],['0.22.0.0','0.7.2.0',theory(equality)]),
% 0.68/1.08 [pos('L.2.2.1.2','L')]).
% 0.68/1.08 cnf('0.22.0.2',plain,
% 0.68/1.08 ( mult(X1,mult(X2,mult(mult(X3,mult(X4,X3)),X2))) = mult(mult(X1,mult(mult(mult(X4,X3),X3),X3)),X2) ),
% 0.68/1.08 inference(reduction,[status(thm)],['0.22.0.1','0.6.2.0',theory(equality)]),
% 0.68/1.08 [pos('R.1.2.1','L')]).
% 0.68/1.08 cnf('0.22.0.3',plain,
% 0.68/1.08 ( mult(X1,mult(X2,mult(mult(X3,mult(X4,X3)),X2))) = mult(mult(X1,mult(mult(X4,X3),X3)),X2) ),
% 0.68/1.08 inference(reduction,[status(thm)],['0.22.0.2','0.7.2.0',theory(equality)]),
% 0.68/1.08 [pos('R.1.2.1','L')]).
% 0.68/1.08 cnf('0.22.0.4',plain,
% 0.68/1.08 ( mult(X1,mult(X2,mult(mult(X3,mult(X4,X3)),X2))) = mult(mult(X1,mult(X4,X3)),X2) ),
% 0.68/1.08 inference(reduction,[status(thm)],['0.22.0.3','0.7.2.0',theory(equality)]),
% 0.68/1.08 [pos('R.1.2','L')]).
% 0.68/1.08 cnf('0.22.1.0',plain,
% 0.68/1.08 ( mult(X1,mult(X2,mult(mult(X3,mult(X4,X3)),X2))) = mult(mult(X1,mult(X4,X3)),X2) ),
% 0.68/1.08 inference(weigh,[status(thm)],['0.22.0.4']),
% 0.68/1.08 [weight('<227,21,3,[0,0,1,3]>')]).
% 0.68/1.08 cnf('0.22.2.0',plain,
% 0.68/1.08 ( mult(X1,mult(X2,mult(mult(X3,mult(X4,X3)),X2))) = mult(mult(X1,mult(X4,X3)),X2) ),
% 0.68/1.08 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.68/1.08 [u,rule_20]).
% 0.68/1.08 cnf('0.23.0.0',plain,
% 0.68/1.08 ( mult(mult(X1,mult(X2,X3)),X4) = mult(mult(X3,mult(X2,X3)),mult(X4,mult(X1,X4))) ),
% 0.68/1.08 inference(cp,[status(thm)],['0.22.2.0','0.2.2.0',theory(equality)]),
% 0.68/1.08 [pos('L','L')]).
% 0.68/1.08 cnf('0.23.1.0',plain,
% 0.68/1.08 ( mult(mult(X1,mult(X2,X3)),X4) = mult(mult(X3,mult(X2,X3)),mult(X4,mult(X1,X4))) ),
% 0.68/1.08 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.68/1.08 [weight('<227,22,2,[1,0,0,0]>')]).
% 0.68/1.08 cnf('0.23.2.0',plain,
% 0.68/1.08 ( mult(mult(X1,mult(X2,X1)),mult(X3,mult(X4,X3))) = mult(mult(X4,mult(X2,X1)),X3) ),
% 0.68/1.08 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.68/1.08 [x,rule_21]).
% 0.68/1.08 cnf('0.24.0.0',plain,
% 0.68/1.08 ( mult(mult(mult(X1,X2),mult(X3,X4)),X2) = mult(mult(X4,mult(X3,X4)),mult(X2,mult(X1,X2))) ),
% 0.68/1.08 inference(cp,[status(thm)],['0.23.2.0','0.7.2.0',theory(equality)]),
% 0.68/1.08 [pos('L.2.2','L')]).
% 0.68/1.08 cnf('0.24.0.1',plain,
% 0.68/1.08 ( mult(mult(mult(X1,X2),mult(X3,X4)),X2) = mult(mult(X1,mult(X3,X4)),X2) ),
% 0.68/1.08 inference(reduction,[status(thm)],['0.24.0.0','0.23.2.0',theory(equality)]),
% 0.68/1.08 [pos('R','L')]).
% 0.68/1.08 cnf('0.24.1.0',plain,
% 0.68/1.08 ( mult(mult(mult(X1,X2),mult(X3,X4)),X2) = mult(mult(X1,mult(X3,X4)),X2) ),
% 0.68/1.08 inference(weigh,[status(thm)],['0.24.0.1']),
% 0.68/1.08 [weight('<169,23,7,[1,0,0,8]>')]).
% 0.68/1.08 cnf('0.24.2.0',plain,
% 0.68/1.08 ( mult(mult(mult(X1,X2),mult(X3,X4)),X2) = mult(mult(X1,mult(X3,X4)),X2) ),
% 0.68/1.08 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.68/1.08 [u,rule_22]).
% 0.68/1.08 cnf('0.26.0.0',plain,
% 0.68/1.08 ( mult(mult(X1,X2),mult(X3,mult(X4,X3))) = mult(mult(mult(X4,X3),mult(X2,mult(X1,X2))),X3) ),
% 0.68/1.08 inference(cp,[status(thm)],['0.8.2.0','0.3.2.0',theory(equality)]),
% 0.68/1.08 [pos('L','L')]).
% 0.68/1.08 cnf('0.26.1.0',plain,
% 0.68/1.08 ( mult(mult(X1,X2),mult(X3,mult(X4,X3))) = mult(mult(mult(X4,X3),mult(X2,mult(X1,X2))),X3) ),
% 0.68/1.08 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.68/1.08 [weight('<251,8,3,[1,0,0,0]>')]).
% 0.68/1.08 cnf('0.26.1.1',plain,
% 0.68/1.08 ( mult(mult(X1,X2),mult(X3,mult(X4,X3))) = mult(mult(X4,mult(X2,mult(X1,X2))),X3) ),
% 0.68/1.08 inference(reduction,[status(thm)],['0.26.1.0','0.24.2.0',theory(equality)]),
% 0.68/1.08 [pos('R','L')]).
% 0.68/1.08 cnf('0.26.2.0',plain,
% 0.68/1.08 ( mult(mult(X1,X2),mult(X3,mult(X4,X3))) = mult(mult(X4,mult(X2,mult(X1,X2))),X3) ),
% 0.68/1.08 inference(activate,[status(thm)],['0.26.1.1']),
% 0.68/1.08 [equation_3]).
% 0.68/1.08 cnf('0.27.0.0',plain,
% 0.68/1.08 ( mult(mult(X1,mult(X2,mult(X3,X2))),mult(mult(X4,X1),X1)) = mult(mult(X3,X2),mult(mult(X4,mult(X1,mult(mult(X4,X1),X1))),X1)) ),
% 0.68/1.08 inference(cp,[status(thm)],['0.26.2.0','0.21.2.0',theory(equality)]),
% 0.68/1.08 [pos('L.2','L')]).
% 0.68/1.08 cnf('0.27.0.1',plain,
% 0.68/1.08 ( mult(mult(X1,mult(X2,mult(X3,X2))),mult(X4,X1)) = mult(mult(X3,X2),mult(mult(X4,mult(X1,mult(mult(X4,X1),X1))),X1)) ),
% 0.68/1.08 inference(reduction,[status(thm)],['0.27.0.0','0.7.2.0',theory(equality)]),
% 0.68/1.08 [pos('L.2','L')]).
% 0.68/1.08 cnf('0.27.0.2',plain,
% 0.68/1.08 ( mult(mult(X1,mult(X2,mult(X3,X2))),mult(X4,X1)) = mult(mult(X3,X2),mult(mult(mult(X4,X1),X1),X1)) ),
% 0.68/1.08 inference(reduction,[status(thm)],['0.27.0.1','0.6.2.0',theory(equality)]),
% 0.68/1.08 [pos('R.2.1','L')]).
% 0.68/1.08 cnf('0.27.0.3',plain,
% 0.68/1.08 ( mult(mult(X1,mult(X2,mult(X3,X2))),mult(X4,X1)) = mult(mult(X3,X2),mult(mult(X4,X1),X1)) ),
% 0.68/1.08 inference(reduction,[status(thm)],['0.27.0.2','0.7.2.0',theory(equality)]),
% 0.68/1.08 [pos('R.2.1','L')]).
% 0.68/1.08 cnf('0.27.0.4',plain,
% 0.68/1.08 ( mult(mult(X1,mult(X2,mult(X3,X2))),mult(X4,X1)) = mult(mult(X3,X2),mult(X4,X1)) ),
% 0.68/1.08 inference(reduction,[status(thm)],['0.27.0.3','0.7.2.0',theory(equality)]),
% 0.68/1.08 [pos('R.2','L')]).
% 0.68/1.08 cnf('0.27.1.0',plain,
% 0.68/1.08 ( mult(mult(X1,mult(X2,mult(X3,X2))),mult(X4,X1)) = mult(mult(X3,X2),mult(X4,X1)) ),
% 0.68/1.08 inference(weigh,[status(thm)],['0.27.0.4']),
% 0.68/1.08 [weight('<227,26,21,[1,0,0,4]>')]).
% 0.68/1.08 cnf('0.27.2.0',plain,
% 0.68/1.08 ( mult(mult(X1,mult(X2,mult(X3,X2))),mult(X4,X1)) = mult(mult(X3,X2),mult(X4,X1)) ),
% 0.68/1.08 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.68/1.08 [u,rule_24]).
% 0.68/1.08 cnf('0.28.0.0',plain,
% 0.68/1.08 ( mult(mult(X1,X2),mult(X3,X4)) = mult(mult(X1,mult(X2,mult(X4,X2))),mult(X3,X4)) ),
% 0.68/1.08 inference(cp,[status(thm)],['0.27.2.0','0.2.2.0',theory(equality)]),
% 0.68/1.08 [pos('L.1','L')]).
% 0.68/1.08 cnf('0.28.1.0',plain,
% 0.68/1.08 ( mult(mult(X1,X2),mult(X3,X4)) = mult(mult(X1,mult(X2,mult(X4,X2))),mult(X3,X4)) ),
% 0.68/1.08 inference(weigh,[status(thm)],['0.28.0.0']),
% 0.68/1.08 [weight('<227,27,2,[1,0,0,1]>')]).
% 0.68/1.08 cnf('0.28.2.0',plain,
% 0.68/1.08 ( mult(mult(X1,mult(X2,mult(X3,X2))),mult(X4,X3)) = mult(mult(X1,X2),mult(X4,X3)) ),
% 0.68/1.08 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.68/1.08 [x,rule_25]).
% 0.68/1.08 cnf('0.30.0.0',plain,
% 0.68/1.08 ( mult(mult(X1,X2),mult(X3,X4)) = mult(X1,mult(mult(X3,X4),mult(mult(X4,X2),mult(X3,X4)))) ),
% 0.68/1.08 inference(cp,[status(thm)],['0.28.2.0','0.3.2.0',theory(equality)]),
% 0.68/1.08 [pos('L','R')]).
% 0.68/1.08 cnf('0.30.0.1',plain,
% 0.68/1.08 ( mult(mult(X1,X2),mult(X3,X4)) = mult(X1,mult(X3,mult(mult(X4,X2),mult(X3,X4)))) ),
% 0.68/1.08 inference(reduction,[status(thm)],['0.30.0.0','0.8.2.0',theory(equality)]),
% 0.68/1.08 [pos('R.2','L')]).
% 0.68/1.08 cnf('0.30.1.0',plain,
% 0.68/1.08 ( mult(mult(X1,X2),mult(X3,X4)) = mult(X1,mult(X3,mult(mult(X4,X2),mult(X3,X4)))) ),
% 0.68/1.08 inference(weigh,[status(thm)],['0.30.0.1']),
% 0.68/1.08 [weight('<227,28,3,[1,0,1,0]>')]).
% 0.68/1.08 cnf('0.30.2.0',plain,
% 0.68/1.08 ( mult(X1,mult(X2,mult(mult(X3,X4),mult(X2,X3)))) = mult(mult(X1,X4),mult(X2,X3)) ),
% 0.68/1.08 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.68/1.08 [x,rule_27]).
% 0.68/1.08 cnf('0.33.0.0',plain,
% 0.68/1.08 ( mult(mult(X1,mult(X2,mult(X3,X4))),X5) = mult(mult(X3,mult(X2,mult(mult(X1,X5),X4))),X5) ),
% 0.68/1.08 inference(cp,[status(thm)],['0.24.2.0','0.2.2.0',theory(equality)]),
% 0.68/1.08 [pos('L.1','L')]).
% 0.68/1.08 cnf('0.33.1.0',plain,
% 0.68/1.08 ( mult(mult(X1,mult(X2,mult(X3,X4))),X5) = mult(mult(X3,mult(X2,mult(mult(X1,X5),X4))),X5) ),
% 0.68/1.08 inference(weigh,[status(thm)],['0.33.0.0']),
% 0.68/1.08 [weight('<251,24,2,[1,0,0,1]>')]).
% 0.68/1.08 cnf('0.33.2.0',plain,
% 0.68/1.08 ( mult(mult(X1,mult(X2,mult(mult(X3,X4),X5))),X4) = mult(mult(X3,mult(X2,mult(X1,X5))),X4) ),
% 0.68/1.08 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.68/1.08 [x,rule_30]).
% 0.68/1.08 cnf('0.34.0.0',plain,
% 0.68/1.08 ( mult(mult(X1,mult(X2,mult(mult(X1,X3),X2))),X3) = mult(mult(mult(X1,X3),X2),X3) ),
% 0.68/1.08 inference(cp,[status(thm)],['0.33.2.0','0.1.2.0',theory(equality)]),
% 0.68/1.08 [pos('L.1','L')]).
% 0.68/1.08 cnf('0.34.0.1',plain,
% 0.68/1.08 ( mult(mult(X1,mult(X2,mult(X1,X2))),X3) = mult(mult(mult(X1,X3),X2),X3) ),
% 0.68/1.08 inference(reduction,[status(thm)],['0.34.0.0','0.33.2.0',theory(equality)]),
% 0.68/1.08 [pos('L','L')]).
% 0.68/1.08 cnf('0.34.0.2',plain,
% 0.68/1.08 ( mult(mult(X1,X2),X3) = mult(mult(mult(X1,X3),X2),X3) ),
% 0.68/1.08 inference(reduction,[status(thm)],['0.34.0.1','0.1.2.0',theory(equality)]),
% 0.68/1.08 [pos('L.1','L')]).
% 0.68/1.08 cnf('0.34.1.0',plain,
% 0.68/1.08 ( mult(mult(X1,X2),X3) = mult(mult(mult(X1,X3),X2),X3) ),
% 0.68/1.08 inference(weigh,[status(thm)],['0.34.0.2']),
% 0.68/1.08 [weight('<103,33,1,[1,0,0,1]>')]).
% 0.68/1.08 cnf('0.34.2.0',plain,
% 0.68/1.08 ( mult(mult(mult(X1,X2),X3),X2) = mult(mult(X1,X3),X2) ),
% 0.68/1.08 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.68/1.08 [x,rule_31]).
% 0.68/1.08 cnf('0.36.0.0',plain,
% 0.68/1.08 ( mult(mult(X1,X2),mult(X3,mult(X4,X3))) = mult(X1,mult(X3,mult(mult(X4,mult(X2,mult(mult(X4,X3),X2))),X3))) ),
% 0.68/1.08 inference(cp,[status(thm)],['0.30.2.0','0.26.2.0',theory(equality)]),
% 0.68/1.08 [pos('L.2.2','L')]).
% 0.68/1.08 cnf('0.36.0.1',plain,
% 0.68/1.08 ( mult(mult(X1,X2),mult(X3,mult(X4,X3))) = mult(X1,mult(X3,mult(mult(mult(X4,X3),X2),X3))) ),
% 0.68/1.08 inference(reduction,[status(thm)],['0.36.0.0','0.6.2.0',theory(equality)]),
% 0.68/1.08 [pos('R.2.2.1','L')]).
% 0.68/1.08 cnf('0.36.1.0',plain,
% 0.68/1.08 ( mult(mult(X1,X2),mult(X3,mult(X4,X3))) = mult(X1,mult(X3,mult(mult(mult(X4,X3),X2),X3))) ),
% 0.68/1.08 inference(weigh,[status(thm)],['0.36.0.1']),
% 0.68/1.08 [weight('<251,30,26,[1,0,0,4]>')]).
% 0.68/1.08 cnf('0.36.1.1',plain,
% 0.68/1.08 ( mult(mult(X1,X2),mult(X3,mult(X4,X3))) = mult(X1,mult(X3,mult(mult(X4,X2),X3))) ),
% 0.68/1.08 inference(reduction,[status(thm)],['0.36.1.0','0.34.2.0',theory(equality)]),
% 0.68/1.08 [pos('R.2.2','L')]).
% 0.68/1.08 cnf('0.36.2.0',plain,
% 0.68/1.08 ( mult(mult(X1,X2),mult(X3,mult(X4,X3))) = mult(X1,mult(X3,mult(mult(X4,X2),X3))) ),
% 0.68/1.08 inference(orient,[status(thm)],['0.36.1.1',theory(equality)]),
% 0.68/1.08 [u,rule_33]).
% 0.68/1.08 cnf('0.37.0.0',plain,
% 0.68/1.08 ( mult(X1,mult(X2,mult(mult(mult(mult(X1,X3),X4),X3),X2))) = mult(mult(mult(X1,X3),X4),X2) ),
% 0.68/1.08 inference(cp,[status(thm)],['0.36.2.0','0.6.2.0',theory(equality)]),
% 0.68/1.08 [pos('L','L')]).
% 0.68/1.08 cnf('0.37.0.1',plain,
% 0.68/1.08 ( mult(X1,mult(X2,mult(mult(mult(X1,X4),X3),X2))) = mult(mult(mult(X1,X3),X4),X2) ),
% 0.68/1.08 inference(reduction,[status(thm)],['0.37.0.0','0.34.2.0',theory(equality)]),
% 0.68/1.08 [pos('L.2.2.1','L')]).
% 0.68/1.08 cnf('0.37.0.2',plain,
% 0.68/1.08 ( mult(mult(mult(X1,X4),X3),X2) = mult(mult(mult(X1,X3),X4),X2) ),
% 0.68/1.08 inference(reduction,[status(thm)],['0.37.0.1','0.13.2.0',theory(equality)]),
% 0.68/1.08 [pos('L','L')]).
% 0.68/1.08 cnf('0.37.1.0',plain,
% 0.68/1.08 ( mult(mult(mult(X1,X4),X3),X2) = mult(mult(mult(X1,X3),X4),X2) ),
% 0.68/1.08 inference(weigh,[status(thm)],['0.37.0.2']),
% 0.68/1.08 [weight('<224,36,6,[1,0,0,0]>')]).
% 0.68/1.08 cnf('0.37.2.0',plain,
% 0.68/1.08 ( mult(mult(mult(X1,X2),X3),X4) = mult(mult(mult(X1,X3),X2),X4) ),
% 0.68/1.08 inference(activate,[status(thm)],['0.37.1.0']),
% 0.68/1.08 [equation_4]).
% 0.68/1.08 cnf('0.38.0.0',plain,
% 0.68/1.08 ( mult(mult(X1,X2),mult(X3,mult(X4,X5))) = mult(X1,mult(X3,mult(mult(mult(X4,X2),X5),mult(X3,mult(X4,X5))))) ),
% 0.68/1.08 inference(cp,[status(thm)],['0.30.2.0','0.37.2.0',theory(equality)]),
% 0.68/1.08 [pos('L.2.2','L')]).
% 0.68/1.08 cnf('0.38.0.1',plain,
% 0.68/1.08 ( mult(mult(X1,X2),mult(X3,mult(X4,X5))) = mult(X1,mult(X3,mult(X4,mult(X3,mult(mult(X4,X2),X5))))) ),
% 0.68/1.08 inference(reduction,[status(thm)],['0.38.0.0','0.8.2.0',theory(equality)]),
% 0.68/1.08 [pos('R.2.2','L')]).
% 0.68/1.08 cnf('0.38.0.2',plain,
% 0.68/1.08 ( mult(mult(X1,X2),mult(X3,mult(X4,X5))) = mult(X1,mult(X3,mult(mult(X4,X2),X5))) ),
% 0.68/1.08 inference(reduction,[status(thm)],['0.38.0.1','0.19.2.0',theory(equality)]),
% 0.68/1.08 [pos('R.2','L')]).
% 0.68/1.08 cnf('0.38.1.0',plain,
% 0.68/1.08 ( mult(mult(X1,X2),mult(X3,mult(X4,X5))) = mult(X1,mult(X3,mult(mult(X4,X2),X5))) ),
% 0.68/1.08 inference(weigh,[status(thm)],['0.38.0.2']),
% 0.68/1.08 [weight('<189,37,30,[0,0,0,4]>')]).
% 0.68/1.08 cnf('0.38.2.0',plain,
% 0.68/1.08 ( mult(mult(X1,X2),mult(X3,mult(X4,X5))) = mult(X1,mult(X3,mult(mult(X4,X2),X5))) ),
% 0.68/1.08 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 0.68/1.08 [u,rule_34]).
% 0.68/1.08 cnf('1.0.0.0',conjecture,
% 0.68/1.08 ( mult(mult(a,b),mult(c,mult(d,e))) = mult(a,mult(c,mult(mult(d,b),e))) ),
% 0.68/1.08 file('/tmp/WALDMEISTER_1394_n020',conjecture_1)).
% 0.68/1.08 cnf('1.0.0.1',plain,
% 0.68/1.08 ( mult(a,mult(c,mult(mult(d,b),e))) = mult(a,mult(c,mult(mult(d,b),e))) ),
% 0.68/1.08 inference(reduction,[status(thm)],['1.0.0.0','0.38.2.0',theory(equality)]),
% 0.68/1.08 [pos('L','L')]).
% 0.68/1.08 cnf('1.0.0.2',plain,
% 0.68/1.08 ( $true ),
% 0.68/1.08 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.68/1.08 [conjecture_1]).
% 0.68/1.08
% 0.68/1.08 Proved Goals:
% 0.68/1.08 No. 1: mult(mult(a,b),mult(c,mult(d,e))) ?= mult(a,mult(c,mult(mult(d,b),e))) joined, current: mult(a,mult(c,mult(mult(d,b),e))) = mult(a,mult(c,mult(mult(d,b),e)))
% 0.68/1.08 1 goal was specified, which was proved.
% 0.68/1.08 % SZS output end CNFRefutation
% 0.68/1.08 #END OF PROOF
% 0.68/1.08
% 0.68/1.08 Problem WALDMEISTER_1394_n020
% 0.68/1.08 CPs.gen 4368
% 0.68/1.08 CPs.reexp 0
% 0.68/1.08 Select 144
% 0.68/1.08 R 34
% 0.68/1.08 E 4
% 0.68/1.08 vsize 6.5M
% 0.68/1.08 rss 3.8M
% 0.68/1.08 process.time 0.032s
% 0.68/1.08 wallclock.time 0.032s
% 0.68/1.08 status S
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 Waldmeister states: Goal proved.
% 0.68/1.08 % SZS status Unsatisfiable
%------------------------------------------------------------------------------