%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP715-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n005.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 12:28:13 EDT 2022
% Result : Unsatisfiable 0.72s 1.14s
% Output : CNFRefutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GRP715-10 : TPTP v8.1.0. Released v8.1.0.
% 0.04/0.14 % Command : woody %s
% 0.15/0.35 % Computer : n005.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Tue Jun 14 08:18:09 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.62/1.01 ********************************************************************************
% 0.62/1.01 * W A L D M E I S T E R \| \ / \|/ *
% 0.62/1.01 * |/ | \/ | *
% 0.62/1.01 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.62/1.01 * A. Jaeger and B. Loechner | | *
% 0.62/1.01 * <waldmeister@informatik.uni-kl.de> | *
% 0.62/1.01 ********************************************************************************
% 0.62/1.01
% 0.62/1.01
% 0.62/1.01 Goals:
% 0.62/1.01 ------
% 0.62/1.01
% 0.62/1.01 ( 1) mult(mult(x0,op_a),op_b) ?=? x0
% 0.62/1.01
% 0.62/1.01 Detected structure: Gruppe
% 0.62/1.01 ********************************************************************************
% 0.62/1.01 ****************************** COMPLETION - PROOF ******************************
% 0.62/1.01 ********************************************************************************
% 0.62/1.01
% 0.72/1.14 joined goal: 1 mult(mult(x0,op_a),op_b) ?= x0 to x0
% 0.72/1.14 goal joined
% 0.72/1.14 % SZS status Unsatisfiable
% 0.72/1.14 #START OF PROOF
% 0.72/1.14 % SZS output start CNFRefutation
% 0.72/1.14 cnf('0.1.0.0',axiom,
% 0.72/1.14 ( X1 = mult(X1,unit) ),
% 0.72/1.14 file('/tmp/WALDMEISTER_32262_n005')).
% 0.72/1.14 cnf('0.1.1.0',plain,
% 0.72/1.14 ( X1 = mult(X1,unit) ),
% 0.72/1.14 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.72/1.14 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.72/1.14 cnf('0.1.2.0',plain,
% 0.72/1.14 ( mult(X1,unit) = X1 ),
% 0.72/1.14 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.72/1.14 [x,rule_1]).
% 0.72/1.14 cnf('0.2.0.0',axiom,
% 0.72/1.14 ( X1 = mult(unit,X1) ),
% 0.72/1.14 file('/tmp/WALDMEISTER_32262_n005')).
% 0.72/1.14 cnf('0.2.1.0',plain,
% 0.72/1.14 ( X1 = mult(unit,X1) ),
% 0.72/1.14 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.72/1.14 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.72/1.14 cnf('0.2.2.0',plain,
% 0.72/1.14 ( mult(unit,X1) = X1 ),
% 0.72/1.14 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.72/1.14 [x,rule_2]).
% 0.72/1.14 cnf('0.4.0.0',axiom,
% 0.72/1.14 ( mult(X1,mult(X2,X2)) = mult(mult(X1,X2),X2) ),
% 0.72/1.14 file('/tmp/WALDMEISTER_32262_n005')).
% 0.72/1.14 cnf('0.4.1.0',plain,
% 0.72/1.14 ( mult(X1,mult(X2,X2)) = mult(mult(X1,X2),X2) ),
% 0.72/1.14 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.72/1.14 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.72/1.14 cnf('0.4.2.0',plain,
% 0.72/1.14 ( mult(mult(X1,X2),X2) = mult(X1,mult(X2,X2)) ),
% 0.72/1.14 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.72/1.14 [x,rule_4]).
% 0.72/1.14 cnf('0.5.0.0',axiom,
% 0.72/1.14 ( mult(X1,mult(mult(X2,X3),X2)) = mult(mult(mult(X1,X2),X3),X2) ),
% 0.72/1.14 file('/tmp/WALDMEISTER_32262_n005')).
% 0.72/1.14 cnf('0.5.1.0',plain,
% 0.72/1.14 ( mult(X1,mult(mult(X2,X3),X2)) = mult(mult(mult(X1,X2),X3),X2) ),
% 0.72/1.14 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.72/1.14 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.72/1.14 cnf('0.5.2.0',plain,
% 0.72/1.14 ( mult(mult(mult(X1,X2),X3),X2) = mult(X1,mult(mult(X2,X3),X2)) ),
% 0.72/1.14 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.72/1.14 [x,rule_5]).
% 0.72/1.14 cnf('0.7.0.0',axiom,
% 0.72/1.14 ( mult(op_b,op_a) = unit ),
% 0.72/1.14 file('/tmp/WALDMEISTER_32262_n005')).
% 0.72/1.14 cnf('0.7.1.0',plain,
% 0.72/1.14 ( mult(op_b,op_a) = unit ),
% 0.72/1.14 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.72/1.14 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.72/1.14 cnf('0.7.2.0',plain,
% 0.72/1.14 ( mult(op_b,op_a) = unit ),
% 0.72/1.14 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.72/1.14 [u,rule_7]).
% 0.72/1.14 cnf('0.8.0.0',axiom,
% 0.72/1.14 ( mult(op_a,op_b) = unit ),
% 0.72/1.14 file('/tmp/WALDMEISTER_32262_n005')).
% 0.72/1.14 cnf('0.8.1.0',plain,
% 0.72/1.14 ( mult(op_a,op_b) = unit ),
% 0.72/1.14 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.72/1.14 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.72/1.14 cnf('0.8.2.0',plain,
% 0.72/1.14 ( mult(op_a,op_b) = unit ),
% 0.72/1.14 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.72/1.14 [u,rule_8]).
% 0.72/1.14 cnf('0.17.0.0',plain,
% 0.72/1.14 ( mult(op_a,mult(op_b,op_b)) = mult(unit,op_b) ),
% 0.72/1.14 inference(cp,[status(thm)],['0.4.2.0','0.8.2.0',theory(equality)]),
% 0.72/1.14 [pos('L.1','L')]).
% 0.72/1.14 cnf('0.17.0.1',plain,
% 0.72/1.14 ( mult(op_a,mult(op_b,op_b)) = op_b ),
% 0.72/1.14 inference(reduction,[status(thm)],['0.17.0.0','0.2.2.0',theory(equality)]),
% 0.72/1.14 [pos('R','L')]).
% 0.72/1.14 cnf('0.17.1.0',plain,
% 0.72/1.14 ( mult(op_a,mult(op_b,op_b)) = op_b ),
% 0.72/1.14 inference(weigh,[status(thm)],['0.17.0.1']),
% 0.72/1.14 [weight('<5,8,4,[0,0,0,1]>')]).
% 0.72/1.14 cnf('0.17.2.0',plain,
% 0.72/1.14 ( mult(op_a,mult(op_b,op_b)) = op_b ),
% 0.72/1.14 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.72/1.14 [u,rule_16]).
% 0.72/1.14 cnf('0.58.0.0',plain,
% 0.72/1.14 ( mult(mult(mult(X1,X2),X3),mult(X2,X2)) = mult(mult(X1,mult(mult(X2,X3),X2)),X2) ),
% 0.72/1.14 inference(cp,[status(thm)],['0.4.2.0','0.5.2.0',theory(equality)]),
% 0.72/1.14 [pos('L.1','L')]).
% 0.72/1.14 cnf('0.58.1.0',plain,
% 0.72/1.14 ( mult(mult(mult(X1,X2),X3),mult(X2,X2)) = mult(mult(X1,mult(mult(X2,X3),X2)),X2) ),
% 0.72/1.14 inference(weigh,[status(thm)],['0.58.0.0']),
% 0.72/1.14 [weight('<?,5,4,[0,0,0,1]>')]).
% 0.72/1.14 cnf('0.58.2.0',plain,
% 0.72/1.14 ( mult(mult(X1,mult(mult(X2,X3),X2)),X2) = mult(mult(mult(X1,X2),X3),mult(X2,X2)) ),
% 0.72/1.14 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 0.72/1.14 [x,rule_57]).
% 0.72/1.14 cnf('0.429.0.0',plain,
% 0.72/1.14 ( mult(mult(mult(X1,op_b),op_a),mult(op_b,op_b)) = mult(mult(X1,mult(unit,op_b)),op_b) ),
% 0.72/1.14 inference(cp,[status(thm)],['0.58.2.0','0.7.2.0',theory(equality)]),
% 0.72/1.14 [pos('L.1.2.1','L')]).
% 0.72/1.14 cnf('0.429.0.1',plain,
% 0.72/1.14 ( mult(mult(mult(X1,op_b),op_a),mult(op_b,op_b)) = mult(mult(X1,op_b),op_b) ),
% 0.72/1.14 inference(reduction,[status(thm)],['0.429.0.0','0.2.2.0',theory(equality)]),
% 0.72/1.14 [pos('R.1.2','L')]).
% 0.72/1.14 cnf('0.429.0.2',plain,
% 0.72/1.14 ( mult(mult(mult(X1,op_b),op_a),mult(op_b,op_b)) = mult(X1,mult(op_b,op_b)) ),
% 0.72/1.14 inference(reduction,[status(thm)],['0.429.0.1','0.4.2.0',theory(equality)]),
% 0.72/1.14 [pos('R','L')]).
% 0.72/1.14 cnf('0.429.1.0',plain,
% 0.72/1.14 ( mult(mult(mult(X1,op_b),op_a),mult(op_b,op_b)) = mult(X1,mult(op_b,op_b)) ),
% 0.72/1.14 inference(weigh,[status(thm)],['0.429.0.2']),
% 0.72/1.14 [weight('<9,58,7,[1,0,0,4]>')]).
% 0.72/1.14 cnf('0.429.2.0',plain,
% 0.72/1.14 ( mult(mult(mult(X1,op_b),op_a),mult(op_b,op_b)) = mult(X1,mult(op_b,op_b)) ),
% 0.72/1.14 inference(orient,[status(thm)],['0.429.1.0',theory(equality)]),
% 0.72/1.14 [u,rule_425]).
% 0.72/1.14 cnf('0.430.0.0',plain,
% 0.72/1.14 ( mult(mult(X1,op_b),mult(mult(op_a,mult(op_b,op_b)),op_a)) = mult(mult(X1,mult(op_b,op_b)),op_a) ),
% 0.72/1.14 inference(cp,[status(thm)],['0.5.2.0','0.429.2.0',theory(equality)]),
% 0.72/1.14 [pos('L.1','L')]).
% 0.72/1.14 cnf('0.430.0.1',plain,
% 0.72/1.14 ( mult(mult(X1,op_b),mult(op_b,op_a)) = mult(mult(X1,mult(op_b,op_b)),op_a) ),
% 0.72/1.14 inference(reduction,[status(thm)],['0.430.0.0','0.17.2.0',theory(equality)]),
% 0.72/1.14 [pos('L.2.1','L')]).
% 0.72/1.14 cnf('0.430.0.2',plain,
% 0.72/1.14 ( mult(mult(X1,op_b),unit) = mult(mult(X1,mult(op_b,op_b)),op_a) ),
% 0.72/1.14 inference(reduction,[status(thm)],['0.430.0.1','0.7.2.0',theory(equality)]),
% 0.72/1.14 [pos('L.2','L')]).
% 0.72/1.14 cnf('0.430.0.3',plain,
% 0.72/1.14 ( mult(X1,op_b) = mult(mult(X1,mult(op_b,op_b)),op_a) ),
% 0.72/1.14 inference(reduction,[status(thm)],['0.430.0.2','0.1.2.0',theory(equality)]),
% 0.72/1.14 [pos('L','L')]).
% 0.72/1.14 cnf('0.430.1.0',plain,
% 0.72/1.14 ( mult(X1,op_b) = mult(mult(X1,mult(op_b,op_b)),op_a) ),
% 0.72/1.14 inference(weigh,[status(thm)],['0.430.0.3']),
% 0.72/1.14 [weight('<7,429,5,[0,0,0,1]>')]).
% 0.72/1.14 cnf('0.430.2.0',plain,
% 0.72/1.14 ( mult(mult(X1,mult(op_b,op_b)),op_a) = mult(X1,op_b) ),
% 0.72/1.14 inference(orient,[status(thm)],['0.430.1.0',theory(equality)]),
% 0.72/1.14 [x,rule_426]).
% 0.72/1.14 cnf('0.431.0.0',plain,
% 0.72/1.14 ( mult(mult(X1,op_a),op_b) = mult(X1,mult(mult(op_a,mult(op_b,op_b)),op_a)) ),
% 0.72/1.14 inference(cp,[status(thm)],['0.430.2.0','0.5.2.0',theory(equality)]),
% 0.72/1.14 [pos('L','L')]).
% 0.72/1.14 cnf('0.431.0.1',plain,
% 0.72/1.14 ( mult(mult(X1,op_a),op_b) = mult(X1,mult(op_a,op_b)) ),
% 0.72/1.14 inference(reduction,[status(thm)],['0.431.0.0','0.430.2.0',theory(equality)]),
% 0.72/1.14 [pos('R.2','L')]).
% 0.72/1.14 cnf('0.431.0.2',plain,
% 0.72/1.14 ( mult(mult(X1,op_a),op_b) = mult(X1,unit) ),
% 0.72/1.14 inference(reduction,[status(thm)],['0.431.0.1','0.8.2.0',theory(equality)]),
% 0.72/1.14 [pos('R.2','L')]).
% 0.72/1.14 cnf('0.431.0.3',plain,
% 0.72/1.14 ( mult(mult(X1,op_a),op_b) = X1 ),
% 0.72/1.14 inference(reduction,[status(thm)],['0.431.0.2','0.1.2.0',theory(equality)]),
% 0.72/1.14 [pos('R','L')]).
% 0.72/1.14 cnf('0.431.1.0',plain,
% 0.72/1.14 ( mult(mult(X1,op_a),op_b) = X1 ),
% 0.72/1.14 inference(weigh,[status(thm)],['0.431.0.3']),
% 0.72/1.14 [weight('<5,430,5,[1,0,0,0]>')]).
% 0.72/1.14 cnf('0.431.2.0',plain,
% 0.72/1.14 ( mult(mult(X1,op_a),op_b) = X1 ),
% 0.72/1.14 inference(orient,[status(thm)],['0.431.1.0',theory(equality)]),
% 0.72/1.14 [u,rule_427]).
% 0.72/1.14 cnf('1.0.0.0',conjecture,
% 0.72/1.14 ( mult(mult(x0,op_a),op_b) = x0 ),
% 0.72/1.14 file('/tmp/WALDMEISTER_32262_n005',conjecture_1)).
% 0.72/1.14 cnf('1.0.0.1',plain,
% 0.72/1.14 ( x0 = x0 ),
% 0.72/1.14 inference(reduction,[status(thm)],['1.0.0.0','0.431.2.0',theory(equality)]),
% 0.72/1.14 [pos('L','L')]).
% 0.72/1.14 cnf('1.0.0.2',plain,
% 0.72/1.14 ( $true ),
% 0.72/1.14 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.72/1.14 [conjecture_1]).
% 0.72/1.14
% 0.72/1.14 Proved Goals:
% 0.72/1.14 No. 1: mult(mult(x0,op_a),op_b) ?= x0 joined, current: x0 = x0
% 0.72/1.14 1 goal was specified, which was proved.
% 0.72/1.14 % SZS output end CNFRefutation
% 0.72/1.14 #END OF PROOF
% 0.72/1.14
% 0.72/1.14 Problem WALDMEISTER_32262_n005
% 0.72/1.14 CPs.gen 17669
% 0.72/1.14 CPs.reexp 0
% 0.72/1.14 Select 1875
% 0.72/1.14 R 427
% 0.72/1.14 E 4
% 0.72/1.14 vsize 6.6M
% 0.72/1.14 rss 4.1M
% 0.72/1.14 process.time 0.125s
% 0.72/1.14 wallclock.time 0.125s
% 0.72/1.14 status S
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 Waldmeister states: Goal proved.
% 0.72/1.14 % SZS status Unsatisfiable
%------------------------------------------------------------------------------