%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LDA007-3 : TPTP v8.1.0. Released v1.0.0.
% 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 : Sun Jul 17 16:46:46 EDT 2022
% Result : Unsatisfiable 0.62s 1.00s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LDA007-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon May 30 03:36:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.62/0.99 ********************************************************************************
% 0.62/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.62/0.99 * |/ | \/ | *
% 0.62/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.62/0.99 * A. Jaeger and B. Loechner | | *
% 0.62/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.62/0.99 ********************************************************************************
% 0.62/1.00
% 0.62/1.00
% 0.62/1.00 Goals:
% 0.62/1.00 ------
% 0.62/1.00
% 0.62/1.00 ( 1) f(t,tsk) ?=? f(tt_ts,tk)
% 0.62/1.00
% 0.62/1.00 Detected structure: LDAlgebra
% 0.62/1.00 ********************************************************************************
% 0.62/1.00 ****************************** COMPLETION - PROOF ******************************
% 0.62/1.00 ********************************************************************************
% 0.62/1.00
% 0.62/1.00 joined goal: 1 f(t,tsk) ?= f(tt_ts,tk) to f(t,f(ts,k))
% 0.62/1.00 goal joined
% 0.62/1.00 % SZS status Unsatisfiable
% 0.62/1.00 #START OF PROOF
% 0.62/1.00 % SZS output start CNFRefutation
% 0.62/1.00 cnf('0.1.0.0',axiom,
% 0.62/1.00 ( f(X1,f(X2,X3)) = f(f(X1,X2),f(X1,X3)) ),
% 0.62/1.00 file('/tmp/WALDMEISTER_28454_n020')).
% 0.62/1.00 cnf('0.1.1.0',plain,
% 0.62/1.00 ( f(X1,f(X2,X3)) = f(f(X1,X2),f(X1,X3)) ),
% 0.62/1.00 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.62/1.00 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.62/1.00 cnf('0.1.2.0',plain,
% 0.62/1.00 ( f(f(X1,X2),f(X1,X3)) = f(X1,f(X2,X3)) ),
% 0.62/1.00 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.62/1.00 [x,rule_1]).
% 0.62/1.00 cnf('0.2.0.0',axiom,
% 0.62/1.00 ( f(t,t) = tt ),
% 0.62/1.00 file('/tmp/WALDMEISTER_28454_n020')).
% 0.62/1.00 cnf('0.2.1.0',plain,
% 0.62/1.00 ( f(t,t) = tt ),
% 0.62/1.00 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.62/1.00 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.62/1.00 cnf('0.2.2.0',plain,
% 0.62/1.00 ( f(t,t) = tt ),
% 0.62/1.00 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.62/1.00 [u,rule_2]).
% 0.62/1.00 cnf('0.3.0.0',axiom,
% 0.62/1.00 ( f(t,k) = tk ),
% 0.62/1.00 file('/tmp/WALDMEISTER_28454_n020')).
% 0.62/1.00 cnf('0.3.1.0',plain,
% 0.62/1.00 ( f(t,k) = tk ),
% 0.62/1.00 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.62/1.00 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.62/1.00 cnf('0.3.2.0',plain,
% 0.62/1.00 ( f(t,k) = tk ),
% 0.62/1.00 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.62/1.00 [u,rule_3]).
% 0.62/1.00 cnf('0.4.0.0',axiom,
% 0.62/1.00 ( f(t,s) = ts ),
% 0.62/1.00 file('/tmp/WALDMEISTER_28454_n020')).
% 0.62/1.00 cnf('0.4.1.0',plain,
% 0.62/1.00 ( f(t,s) = ts ),
% 0.62/1.00 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.62/1.00 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.62/1.00 cnf('0.4.2.0',plain,
% 0.62/1.00 ( f(t,s) = ts ),
% 0.62/1.00 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.62/1.00 [u,rule_4]).
% 0.62/1.00 cnf('0.5.0.0',axiom,
% 0.62/1.00 ( f(ts,k) = tsk ),
% 0.62/1.00 file('/tmp/WALDMEISTER_28454_n020')).
% 0.62/1.00 cnf('0.5.1.0',plain,
% 0.62/1.00 ( f(ts,k) = tsk ),
% 0.62/1.00 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.62/1.00 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.62/1.00 cnf('0.5.2.0',plain,
% 0.62/1.00 ( f(ts,k) = tsk ),
% 0.62/1.00 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.62/1.00 [u,rule_5]).
% 0.62/1.00 cnf('0.6.0.0',axiom,
% 0.62/1.00 ( f(tt,ts) = tt_ts ),
% 0.62/1.00 file('/tmp/WALDMEISTER_28454_n020')).
% 0.62/1.00 cnf('0.6.1.0',plain,
% 0.62/1.00 ( f(tt,ts) = tt_ts ),
% 0.62/1.00 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.62/1.00 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.62/1.00 cnf('0.6.2.0',plain,
% 0.62/1.00 ( f(tt,ts) = tt_ts ),
% 0.62/1.00 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.62/1.00 [u,rule_6]).
% 0.62/1.00 cnf('0.7.0.0',plain,
% 0.62/1.00 ( f(t,f(t,X1)) = f(tt,f(t,X1)) ),
% 0.62/1.00 inference(cp,[status(thm)],['0.1.2.0','0.2.2.0',theory(equality)]),
% 0.62/1.00 [pos('L.1','L')]).
% 0.62/1.00 cnf('0.7.1.0',plain,
% 0.62/1.00 ( f(t,f(t,X1)) = f(tt,f(t,X1)) ),
% 0.62/1.00 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.62/1.00 [weight('<65,2,1,[0,0,0,1]>')]).
% 0.62/1.00 cnf('0.7.2.0',plain,
% 0.62/1.00 ( f(t,f(t,X1)) = f(tt,f(t,X1)) ),
% 0.62/1.00 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.62/1.00 [u,rule_7]).
% 0.62/1.00 cnf('0.8.0.0',plain,
% 0.62/1.00 ( f(tt,f(t,s)) = f(t,ts) ),
% 0.62/1.00 inference(cp,[status(thm)],['0.7.2.0','0.4.2.0',theory(equality)]),
% 0.62/1.00 [pos('L.2','L')]).
% 0.62/1.00 cnf('0.8.0.1',plain,
% 0.62/1.00 ( f(tt,ts) = f(t,ts) ),
% 0.62/1.00 inference(reduction,[status(thm)],['0.8.0.0','0.4.2.0',theory(equality)]),
% 0.62/1.00 [pos('L.2','L')]).
% 0.62/1.00 cnf('0.8.0.2',plain,
% 0.62/1.00 ( tt_ts = f(t,ts) ),
% 0.62/1.00 inference(reduction,[status(thm)],['0.8.0.1','0.6.2.0',theory(equality)]),
% 0.62/1.00 [pos('L','L')]).
% 0.62/1.00 cnf('0.8.1.0',plain,
% 0.62/1.00 ( tt_ts = f(t,ts) ),
% 0.62/1.00 inference(weigh,[status(thm)],['0.8.0.2']),
% 0.62/1.00 [weight('<19,7,4,[1,0,0,2]>')]).
% 0.62/1.00 cnf('0.8.2.0',plain,
% 0.62/1.00 ( f(t,ts) = tt_ts ),
% 0.62/1.00 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.62/1.00 [x,rule_8]).
% 0.62/1.00 cnf('1.0.0.0',conjecture,
% 0.62/1.00 ( f(t,tsk) = f(tt_ts,tk) ),
% 0.62/1.00 file('/tmp/WALDMEISTER_28454_n020',conjecture_1)).
% 0.62/1.00 cnf('1.0.0.1',plain,
% 0.62/1.00 ( f(t,tsk) = f(tt_ts,f(t,k)) ),
% 0.62/1.00 inference(reduction,[status(thm)],['1.0.0.0','0.3.2.0',theory(equality)]),
% 0.62/1.00 [pos('R.2','R')]).
% 0.62/1.00 cnf('1.0.0.2',plain,
% 0.62/1.00 ( f(t,f(ts,k)) = f(tt_ts,f(t,k)) ),
% 0.62/1.00 inference(reduction,[status(thm)],['1.0.0.1','0.5.2.0',theory(equality)]),
% 0.62/1.00 [pos('L.2','R')]).
% 0.62/1.00 cnf('1.0.0.3',plain,
% 0.62/1.00 ( f(t,f(ts,k)) = f(f(t,ts),f(t,k)) ),
% 0.62/1.00 inference(reduction,[status(thm)],['1.0.0.2','0.8.2.0',theory(equality)]),
% 0.62/1.00 [pos('R.1','R')]).
% 0.62/1.00 cnf('1.0.0.4',plain,
% 0.62/1.00 ( f(t,f(ts,k)) = f(t,f(ts,k)) ),
% 0.62/1.00 inference(reduction,[status(thm)],['1.0.0.3','0.1.2.0',theory(equality)]),
% 0.62/1.00 [pos('R','L')]).
% 0.62/1.00 cnf('1.0.0.5',plain,
% 0.62/1.00 ( $true ),
% 0.62/1.00 inference(trivial,[status(thm)],['1.0.0.4',theory(equality)]),
% 0.62/1.00 [conjecture_1]).
% 0.62/1.00
% 0.62/1.00 Proved Goals:
% 0.62/1.00 No. 1: f(t,tsk) ?= f(tt_ts,tk) joined, current: f(t,f(ts,k)) = f(t,f(ts,k))
% 0.62/1.00 1 goal was specified, which was proved.
% 0.62/1.00 % SZS output end CNFRefutation
% 0.62/1.00 #END OF PROOF
% 0.62/1.00
% 0.62/1.00 Problem WALDMEISTER_28454_n020
% 0.62/1.00 CPs.gen 18
% 0.62/1.00 CPs.reexp 0
% 0.62/1.00 Select 8
% 0.62/1.00 R 8
% 0.62/1.00 E 0
% 0.62/1.00 vsize 6.6M
% 0.62/1.00 rss 3.8M
% 0.62/1.00 process.time 0.002s
% 0.62/1.00 wallclock.time 0.002s
% 0.62/1.00 status S
% 0.62/1.00
% 0.62/1.00
% 0.62/1.00 Waldmeister states: Goal proved.
% 0.62/1.00 % SZS status Unsatisfiable
%------------------------------------------------------------------------------