%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP702-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n003.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 12:28:06 EDT 2022
% Result : Unsatisfiable 0.60s 1.00s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP702-10 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13 % Command : woody %s
% 0.14/0.35 % Computer : n003.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 Jun 13 18:44:24 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.60/1.00 ********************************************************************************
% 0.60/1.00 * W A L D M E I S T E R \| \ / \|/ *
% 0.60/1.00 * |/ | \/ | *
% 0.60/1.00 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.60/1.00 * A. Jaeger and B. Loechner | | *
% 0.60/1.00 * <waldmeister@informatik.uni-kl.de> | *
% 0.60/1.00 ********************************************************************************
% 0.60/1.00
% 0.60/1.00
% 0.60/1.00 Goals:
% 0.60/1.00 ------
% 0.60/1.00
% 0.60/1.00 ( 1) mult(mult(op_d,x0),x1) ?=? mult(op_d,mult(x0,x1))
% 0.60/1.00
% 0.60/1.00 Detected structure: Loop
% 0.60/1.00 ********************************************************************************
% 0.60/1.00 ****************************** COMPLETION - PROOF ******************************
% 0.60/1.00 ********************************************************************************
% 0.60/1.00
% 0.60/1.00 joined goal: 1 mult(mult(op_d,x0),x1) ?= mult(op_d,mult(x0,x1)) to mult(x0,mult(op_d,x1))
% 0.60/1.00 goal joined
% 0.60/1.00 % SZS status Unsatisfiable
% 0.60/1.00 #START OF PROOF
% 0.60/1.00 % SZS output start CNFRefutation
% 0.60/1.00 cnf('0.1.0.0',axiom,
% 0.60/1.00 ( X1 = mult(X2,ld(X2,X1)) ),
% 0.60/1.00 file('/tmp/WALDMEISTER_26329_n003')).
% 0.60/1.00 cnf('0.1.1.0',plain,
% 0.60/1.00 ( X1 = mult(X2,ld(X2,X1)) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.60/1.00 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.60/1.00 cnf('0.1.2.0',plain,
% 0.60/1.00 ( mult(X1,ld(X1,X2)) = X2 ),
% 0.60/1.00 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.60/1.00 [x,rule_1]).
% 0.60/1.00 cnf('0.2.0.0',axiom,
% 0.60/1.00 ( X1 = mult(X1,unit) ),
% 0.60/1.00 file('/tmp/WALDMEISTER_26329_n003')).
% 0.60/1.00 cnf('0.2.1.0',plain,
% 0.60/1.00 ( X1 = mult(X1,unit) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.60/1.00 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.60/1.00 cnf('0.2.2.0',plain,
% 0.60/1.00 ( mult(X1,unit) = X1 ),
% 0.60/1.00 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.60/1.00 [x,rule_2]).
% 0.60/1.00 cnf('0.4.0.0',axiom,
% 0.60/1.00 ( X1 = mult(unit,X1) ),
% 0.60/1.00 file('/tmp/WALDMEISTER_26329_n003')).
% 0.60/1.00 cnf('0.4.1.0',plain,
% 0.60/1.00 ( X1 = mult(unit,X1) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.60/1.00 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.60/1.00 cnf('0.4.2.0',plain,
% 0.60/1.00 ( mult(unit,X1) = X1 ),
% 0.60/1.00 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.60/1.00 [x,rule_4]).
% 0.60/1.00 cnf('0.8.0.0',axiom,
% 0.60/1.00 ( mult(X1,mult(X2,op_c)) = mult(mult(X1,X2),op_c) ),
% 0.60/1.00 file('/tmp/WALDMEISTER_26329_n003')).
% 0.60/1.00 cnf('0.8.1.0',plain,
% 0.60/1.00 ( mult(X1,mult(X2,op_c)) = mult(mult(X1,X2),op_c) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.60/1.00 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.60/1.00 cnf('0.8.2.0',plain,
% 0.60/1.00 ( mult(mult(X1,X2),op_c) = mult(X1,mult(X2,op_c)) ),
% 0.60/1.00 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.60/1.00 [x,rule_8]).
% 0.60/1.00 cnf('0.9.0.0',axiom,
% 0.60/1.00 ( mult(X1,mult(X2,ld(mult(X1,X2),op_c))) = op_f ),
% 0.60/1.00 file('/tmp/WALDMEISTER_26329_n003')).
% 0.60/1.00 cnf('0.9.1.0',plain,
% 0.60/1.00 ( mult(X1,mult(X2,ld(mult(X1,X2),op_c))) = op_f ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.60/1.00 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.60/1.00 cnf('0.9.2.0',plain,
% 0.60/1.00 ( mult(X1,mult(X2,ld(mult(X1,X2),op_c))) = op_f ),
% 0.60/1.00 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.60/1.00 [u,rule_9]).
% 0.60/1.00 cnf('0.10.0.0',axiom,
% 0.60/1.00 ( mult(X1,mult(op_c,X2)) = mult(mult(X1,op_c),X2) ),
% 0.60/1.00 file('/tmp/WALDMEISTER_26329_n003')).
% 0.60/1.00 cnf('0.10.1.0',plain,
% 0.60/1.00 ( mult(X1,mult(op_c,X2)) = mult(mult(X1,op_c),X2) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.60/1.00 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.60/1.00 cnf('0.10.2.0',plain,
% 0.60/1.00 ( mult(mult(X1,op_c),X2) = mult(X1,mult(op_c,X2)) ),
% 0.60/1.00 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.60/1.00 [x,rule_10]).
% 0.60/1.00 cnf('0.13.0.0',axiom,
% 0.60/1.00 ( ld(X1,mult(op_c,X1)) = op_d ),
% 0.60/1.00 file('/tmp/WALDMEISTER_26329_n003')).
% 0.60/1.00 cnf('0.13.1.0',plain,
% 0.60/1.00 ( ld(X1,mult(op_c,X1)) = op_d ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.60/1.00 [weight('<12,0,0,[0,0,0,13]>')]).
% 0.60/1.00 cnf('0.13.2.0',plain,
% 0.60/1.00 ( ld(X1,mult(op_c,X1)) = op_d ),
% 0.60/1.00 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.60/1.00 [u,rule_13]).
% 0.60/1.00 cnf('0.14.0.0',plain,
% 0.60/1.00 ( op_f = mult(X1,mult(unit,ld(X1,op_c))) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.9.2.0','0.2.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.2.2.1','L')]).
% 0.60/1.00 cnf('0.14.0.1',plain,
% 0.60/1.00 ( op_f = mult(X1,ld(X1,op_c)) ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.14.0.0','0.4.2.0',theory(equality)]),
% 0.60/1.00 [pos('R.2','L')]).
% 0.60/1.00 cnf('0.14.0.2',plain,
% 0.60/1.00 ( op_f = op_c ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.14.0.1','0.1.2.0',theory(equality)]),
% 0.60/1.00 [pos('R','L')]).
% 0.60/1.00 cnf('0.14.1.0',plain,
% 0.60/1.00 ( op_f = op_c ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.14.0.2']),
% 0.60/1.00 [weight('<5,9,2,[1,0,0,5]>')]).
% 0.60/1.00 cnf('0.14.2.0',plain,
% 0.60/1.00 ( op_c = op_f ),
% 0.60/1.00 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.60/1.00 [x,rule_14]).
% 0.60/1.00 cnf('0.16.0.0',plain,
% 0.60/1.00 ( ld(unit,X1) = X1 ),
% 0.60/1.00 inference(cp,[status(thm)],['0.4.2.0','0.1.2.0',theory(equality)]),
% 0.60/1.00 [pos('L','L')]).
% 0.60/1.00 cnf('0.16.1.0',plain,
% 0.60/1.00 ( ld(unit,X1) = X1 ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.60/1.00 [weight('<19,4,1,[1,0,0,0]>')]).
% 0.60/1.00 cnf('0.16.2.0',plain,
% 0.60/1.00 ( ld(unit,X1) = X1 ),
% 0.60/1.00 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.60/1.00 [u,rule_16]).
% 0.60/1.00 cnf('0.21.0.0',plain,
% 0.60/1.00 ( ld(X1,mult(op_c,X1)) = op_d ),
% 0.60/1.00 inference(interreduction_right,[status(thm)],['0.13.2.0'])).
% 0.60/1.00 cnf('0.21.0.1',plain,
% 0.60/1.00 ( ld(X1,mult(op_f,X1)) = op_d ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.21.0.0','0.14.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.2.1','L')]).
% 0.60/1.00 cnf('0.21.1.0',plain,
% 0.60/1.00 ( ld(X1,mult(op_f,X1)) = op_d ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.21.0.1']),
% 0.60/1.00 [weight('<41,13,14,[0,0,0,0]>')]).
% 0.60/1.00 cnf('0.21.2.0',plain,
% 0.60/1.00 ( ld(X1,mult(op_f,X1)) = op_d ),
% 0.60/1.00 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.60/1.00 [u,rule_21]).
% 0.60/1.00 cnf('0.22.0.0',plain,
% 0.60/1.00 ( op_d = ld(unit,op_f) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.21.2.0','0.2.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.2','L')]).
% 0.60/1.00 cnf('0.22.0.1',plain,
% 0.60/1.00 ( op_d = op_f ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.22.0.0','0.16.2.0',theory(equality)]),
% 0.60/1.00 [pos('R','L')]).
% 0.60/1.00 cnf('0.22.1.0',plain,
% 0.60/1.00 ( op_d = op_f ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.22.0.1']),
% 0.60/1.00 [weight('<5,21,2,[1,0,0,2]>')]).
% 0.60/1.00 cnf('0.22.2.0',plain,
% 0.60/1.00 ( op_f = op_d ),
% 0.60/1.00 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.60/1.00 [x,rule_22]).
% 0.60/1.00 cnf('0.24.0.0',plain,
% 0.60/1.00 ( ld(X1,mult(op_f,X1)) = op_d ),
% 0.60/1.00 inference(interreduction_right,[status(thm)],['0.21.2.0'])).
% 0.60/1.00 cnf('0.24.0.1',plain,
% 0.60/1.00 ( ld(X1,mult(op_d,X1)) = op_d ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.24.0.0','0.22.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.2.1','L')]).
% 0.60/1.00 cnf('0.24.1.0',plain,
% 0.60/1.00 ( ld(X1,mult(op_d,X1)) = op_d ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.24.0.1']),
% 0.60/1.00 [weight('<41,21,22,[0,0,0,0]>')]).
% 0.60/1.00 cnf('0.24.2.0',plain,
% 0.60/1.00 ( ld(X1,mult(op_d,X1)) = op_d ),
% 0.60/1.00 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.60/1.00 [u,rule_24]).
% 0.60/1.00 cnf('0.31.0.0',plain,
% 0.60/1.00 ( mult(op_d,X1) = mult(X1,op_d) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.1.2.0','0.24.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.2','L')]).
% 0.60/1.00 cnf('0.31.1.0',plain,
% 0.60/1.00 ( mult(op_d,X1) = mult(X1,op_d) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.31.0.0']),
% 0.60/1.00 [weight('<48,24,1,[0,0,0,2]>')]).
% 0.60/1.00 cnf('0.31.2.0',plain,
% 0.60/1.00 ( mult(op_d,X1) = mult(X1,op_d) ),
% 0.60/1.00 inference(activate,[status(thm)],['0.31.1.0']),
% 0.60/1.00 [equation_1]).
% 0.60/1.00 cnf('0.33.0.0',plain,
% 0.60/1.00 ( mult(mult(X1,X2),op_c) = mult(X1,mult(X2,op_c)) ),
% 0.60/1.00 inference(interreduction_right,[status(thm)],['0.8.2.0'])).
% 0.60/1.00 cnf('0.33.0.1',plain,
% 0.60/1.00 ( mult(mult(X1,X2),op_f) = mult(X1,mult(X2,op_c)) ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.33.0.0','0.14.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.2','L')]).
% 0.60/1.00 cnf('0.33.0.2',plain,
% 0.60/1.00 ( mult(mult(X1,X2),op_f) = mult(X1,mult(X2,op_f)) ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.33.0.1','0.14.2.0',theory(equality)]),
% 0.60/1.00 [pos('R.2.2','L')]).
% 0.60/1.00 cnf('0.33.1.0',plain,
% 0.60/1.00 ( mult(mult(X1,X2),op_f) = mult(X1,mult(X2,op_f)) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.33.0.2']),
% 0.60/1.00 [weight('<65,8,14,[0,0,0,0]>')]).
% 0.60/1.00 cnf('0.33.1.1',plain,
% 0.60/1.00 ( mult(mult(X1,X2),op_d) = mult(X1,mult(X2,op_f)) ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.33.1.0','0.22.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.2','L')]).
% 0.60/1.00 cnf('0.33.1.2',plain,
% 0.60/1.00 ( mult(op_d,mult(X1,X2)) = mult(X1,mult(X2,op_f)) ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.33.1.1','0.31.2.0',theory(equality)]),
% 0.60/1.00 [pos('L','R')]).
% 0.60/1.00 cnf('0.33.1.3',plain,
% 0.60/1.00 ( mult(op_d,mult(X1,X2)) = mult(X1,mult(X2,op_d)) ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.33.1.2','0.22.2.0',theory(equality)]),
% 0.60/1.00 [pos('R.2.2','L')]).
% 0.60/1.00 cnf('0.33.2.0',plain,
% 0.60/1.00 ( mult(op_d,mult(X1,X2)) = mult(X1,mult(X2,op_d)) ),
% 0.60/1.00 inference(activate,[status(thm)],['0.33.1.3']),
% 0.60/1.00 [equation_2]).
% 0.60/1.00 cnf('0.34.0.0',plain,
% 0.60/1.00 ( mult(mult(X1,op_c),X2) = mult(X1,mult(op_c,X2)) ),
% 0.60/1.00 inference(interreduction_right,[status(thm)],['0.10.2.0'])).
% 0.60/1.00 cnf('0.34.0.1',plain,
% 0.60/1.00 ( mult(mult(X1,op_f),X2) = mult(X1,mult(op_c,X2)) ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.34.0.0','0.14.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.1.2','L')]).
% 0.60/1.00 cnf('0.34.0.2',plain,
% 0.60/1.00 ( mult(mult(X1,op_f),X2) = mult(X1,mult(op_f,X2)) ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.34.0.1','0.14.2.0',theory(equality)]),
% 0.60/1.00 [pos('R.2.1','L')]).
% 0.60/1.00 cnf('0.34.1.0',plain,
% 0.60/1.00 ( mult(mult(X1,op_f),X2) = mult(X1,mult(op_f,X2)) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.34.0.2']),
% 0.60/1.00 [weight('<65,10,14,[0,0,0,0]>')]).
% 0.60/1.00 cnf('0.34.1.1',plain,
% 0.60/1.00 ( mult(mult(X1,op_d),X2) = mult(X1,mult(op_f,X2)) ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.34.1.0','0.22.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.1.2','L')]).
% 0.60/1.00 cnf('0.34.1.2',plain,
% 0.60/1.00 ( mult(mult(X1,op_d),X2) = mult(X1,mult(op_d,X2)) ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.34.1.1','0.22.2.0',theory(equality)]),
% 0.60/1.00 [pos('R.2.1','L')]).
% 0.60/1.00 cnf('0.34.2.0',plain,
% 0.60/1.00 ( mult(mult(X1,op_d),X2) = mult(X1,mult(op_d,X2)) ),
% 0.60/1.00 inference(orient,[status(thm)],['0.34.1.2',theory(equality)]),
% 0.60/1.00 [u,rule_32]).
% 0.60/1.00 cnf('1.0.0.0',conjecture,
% 0.60/1.00 ( mult(mult(op_d,x0),x1) = mult(op_d,mult(x0,x1)) ),
% 0.60/1.00 file('/tmp/WALDMEISTER_26329_n003',conjecture_1)).
% 0.60/1.00 cnf('1.0.0.1',plain,
% 0.60/1.00 ( mult(mult(x0,op_d),x1) = mult(op_d,mult(x0,x1)) ),
% 0.60/1.00 inference(reduction,[status(thm)],['1.0.0.0','0.31.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.1','L')]).
% 0.60/1.00 cnf('1.0.0.2',plain,
% 0.60/1.00 ( mult(mult(x0,op_d),x1) = mult(x0,mult(x1,op_d)) ),
% 0.60/1.00 inference(reduction,[status(thm)],['1.0.0.1','0.33.2.0',theory(equality)]),
% 0.60/1.00 [pos('R','L')]).
% 0.60/1.00 cnf('1.0.0.3',plain,
% 0.60/1.00 ( mult(mult(x0,op_d),x1) = mult(x0,mult(op_d,x1)) ),
% 0.60/1.00 inference(reduction,[status(thm)],['1.0.0.2','0.31.2.0',theory(equality)]),
% 0.60/1.00 [pos('R.2','R')]).
% 0.60/1.00 cnf('1.0.0.4',plain,
% 0.60/1.00 ( mult(x0,mult(op_d,x1)) = mult(x0,mult(op_d,x1)) ),
% 0.60/1.00 inference(reduction,[status(thm)],['1.0.0.3','0.34.2.0',theory(equality)]),
% 0.60/1.00 [pos('L','L')]).
% 0.60/1.00 cnf('1.0.0.5',plain,
% 0.60/1.00 ( $true ),
% 0.60/1.00 inference(trivial,[status(thm)],['1.0.0.4',theory(equality)]),
% 0.60/1.00 [conjecture_1]).
% 0.60/1.00
% 0.60/1.00 Proved Goals:
% 0.60/1.00 No. 1: mult(mult(op_d,x0),x1) ?= mult(op_d,mult(x0,x1)) joined, current: mult(x0,mult(op_d,x1)) = mult(x0,mult(op_d,x1))
% 0.60/1.00 1 goal was specified, which was proved.
% 0.60/1.00 % SZS output end CNFRefutation
% 0.60/1.00 #END OF PROOF
% 0.60/1.00
% 0.60/1.00 Problem WALDMEISTER_26329_n003
% 0.60/1.00 CPs.gen 235
% 0.60/1.00 CPs.reexp 0
% 0.60/1.00 Select 45
% 0.60/1.00 R 32
% 0.60/1.00 E 2
% 0.60/1.00 vsize 6.6M
% 0.60/1.00 rss 3.9M
% 0.60/1.00 process.time 0.003s
% 0.60/1.00 wallclock.time 0.003s
% 0.60/1.00 status S
% 0.60/1.00
% 0.60/1.00
% 0.60/1.00 Waldmeister states: Goal proved.
% 0.60/1.00 % SZS status Unsatisfiable
%------------------------------------------------------------------------------