%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : SWX233-1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n029.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 : 300s
% DateTime : Tue May 5 07:08:09 PM UTC 2026
% Result : Unsatisfiable 0.59s 0.98s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWX233-1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % Command : woody %s
% 0.16/0.33 % Computer : n029.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 13:06:59 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.59/0.98 ********************************************************************************
% 0.59/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/0.98 * |/ | \/ | *
% 0.59/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/0.98 * A. Jaeger and B. Loechner | | *
% 0.59/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/0.98 ********************************************************************************
% 0.59/0.98
% 0.59/0.98
% 0.59/0.98 Goals:
% 0.59/0.98 ------
% 0.59/0.98
% 0.59/0.98 ( 1) true ?= false
% 0.59/0.98 using narrowing to prove btrue ?= eq(prop1(x1),bfalse)
% 0.59/0.98
% 0.59/0.98 Detected structure: Orkus
% 0.59/0.98 ********************************************************************************
% 0.59/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.59/0.98 ********************************************************************************
% 0.59/0.98
% 0.59/0.98 joined goal: 1 btrue ?= eq(prop1(x1),bfalse) to false
% 0.59/0.98 goal joined
% 0.59/0.98 % SZS status Unsatisfiable
% 0.59/0.98 #START OF PROOF
% 0.59/0.98 % SZS output start CNFRefutation
% 0.59/0.98 cnf('0.3.0.0',axiom,
% 0.59/0.98 ( bfalse = eq(btrue,bfalse) ),
% 0.59/0.98 file('/tmp/WALDMEISTER_4576_n029')).
% 0.59/0.98 cnf('0.3.1.0',plain,
% 0.59/0.98 ( bfalse = eq(btrue,bfalse) ),
% 0.59/0.98 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.59/0.98 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.59/0.98 cnf('0.3.2.0',plain,
% 0.59/0.98 ( eq(btrue,bfalse) = bfalse ),
% 0.59/0.98 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.59/0.98 [x,rule_3]).
% 0.59/0.98 cnf('0.6.0.0',axiom,
% 0.59/0.98 ( btrue = f(nil) ),
% 0.59/0.98 file('/tmp/WALDMEISTER_4576_n029')).
% 0.59/0.98 cnf('0.6.1.0',plain,
% 0.59/0.98 ( btrue = f(nil) ),
% 0.59/0.98 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.59/0.98 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.59/0.98 cnf('0.6.2.0',plain,
% 0.59/0.98 ( f(nil) = btrue ),
% 0.59/0.98 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.59/0.98 [x,rule_6]).
% 0.59/0.98 cnf('0.7.0.0',axiom,
% 0.59/0.98 ( btrue = eq(X1,X1) ),
% 0.59/0.98 file('/tmp/WALDMEISTER_4576_n029')).
% 0.59/0.98 cnf('0.7.1.0',plain,
% 0.59/0.98 ( btrue = eq(X1,X1) ),
% 0.59/0.98 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.59/0.98 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.59/0.98 cnf('0.7.2.0',plain,
% 0.59/0.98 ( eq(X1,X1) = btrue ),
% 0.59/0.98 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.59/0.98 [x,rule_7]).
% 0.59/0.98 cnf('0.11.0.0',axiom,
% 0.59/0.98 ( eq(f(X1),bfalse) = prop1(X1) ),
% 0.59/0.98 file('/tmp/WALDMEISTER_4576_n029')).
% 0.59/0.98 cnf('0.11.1.0',plain,
% 0.59/0.98 ( eq(f(X1),bfalse) = prop1(X1) ),
% 0.59/0.98 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.59/0.98 [weight('<10,0,0,[0,0,0,11]>')]).
% 0.59/0.98 cnf('0.11.2.0',plain,
% 0.59/0.98 ( eq(f(X1),bfalse) = prop1(X1) ),
% 0.59/0.98 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.59/0.98 [u,rule_10]).
% 0.59/0.98 cnf('0.13.0.0',axiom,
% 0.59/0.98 ( eq1(X1,X1) = true ),
% 0.59/0.98 file('/tmp/WALDMEISTER_4576_n029')).
% 0.59/0.98 cnf('0.13.1.0',plain,
% 0.59/0.98 ( eq1(X1,X1) = true ),
% 0.59/0.98 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.59/0.98 [weight('<12,0,0,[0,0,0,13]>')]).
% 0.59/0.98 cnf('0.13.2.0',plain,
% 0.59/0.98 ( eq1(X1,X1) = true ),
% 0.59/0.98 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.59/0.98 [u,rule_12]).
% 0.59/0.98 cnf('0.14.0.0',axiom,
% 0.59/0.98 ( eq1(btrue,eq(prop1(X1),bfalse)) = false ),
% 0.59/0.98 file('/tmp/WALDMEISTER_4576_n029')).
% 0.59/0.98 cnf('0.14.1.0',plain,
% 0.59/0.98 ( eq1(btrue,eq(prop1(X1),bfalse)) = false ),
% 0.59/0.98 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.59/0.98 [weight('<13,0,0,[0,0,0,14]>')]).
% 0.59/0.98 cnf('0.14.2.0',plain,
% 0.59/0.98 ( eq1(btrue,eq(prop1(X1),bfalse)) = false ),
% 0.59/0.98 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.59/0.98 [u,rule_13]).
% 0.59/0.98 cnf('0.15.0.0',plain,
% 0.59/0.98 ( prop1(nil) = eq(btrue,bfalse) ),
% 0.59/0.98 inference(cp,[status(thm)],['0.11.2.0','0.6.2.0',theory(equality)]),
% 0.59/0.98 [pos('L.1','L')]).
% 0.59/0.98 cnf('0.15.0.1',plain,
% 0.59/0.98 ( prop1(nil) = bfalse ),
% 0.59/0.98 inference(reduction,[status(thm)],['0.15.0.0','0.3.2.0',theory(equality)]),
% 0.59/0.98 [pos('R','L')]).
% 0.59/0.98 cnf('0.15.1.0',plain,
% 0.59/0.98 ( prop1(nil) = bfalse ),
% 0.59/0.98 inference(weigh,[status(thm)],['0.15.0.1']),
% 0.59/0.98 [weight('<11,11,6,[1,0,0,1]>')]).
% 0.59/0.98 cnf('0.15.2.0',plain,
% 0.59/0.98 ( prop1(nil) = bfalse ),
% 0.59/0.98 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.59/0.98 [u,rule_14]).
% 0.59/0.98 cnf('0.16.0.0',plain,
% 0.59/0.98 ( false = eq1(btrue,eq(bfalse,bfalse)) ),
% 0.59/0.98 inference(cp,[status(thm)],['0.14.2.0','0.15.2.0',theory(equality)]),
% 0.59/0.98 [pos('L.2.1','L')]).
% 0.59/0.98 cnf('0.16.0.1',plain,
% 0.59/0.98 ( false = eq1(btrue,btrue) ),
% 0.59/0.98 inference(reduction,[status(thm)],['0.16.0.0','0.7.2.0',theory(equality)]),
% 0.59/0.98 [pos('R.2','L')]).
% 0.59/0.98 cnf('0.16.0.2',plain,
% 0.59/0.98 ( false = true ),
% 0.59/0.98 inference(reduction,[status(thm)],['0.16.0.1','0.13.2.0',theory(equality)]),
% 0.59/0.98 [pos('R','L')]).
% 0.59/0.98 cnf('0.16.1.0',plain,
% 0.59/0.98 ( false = true ),
% 0.59/0.98 inference(weigh,[status(thm)],['0.16.0.2']),
% 0.59/0.98 [weight('<5,15,14,[0,0,0,3]>')]).
% 0.59/0.98 cnf('0.16.2.0',plain,
% 0.59/0.98 ( true = false ),
% 0.59/0.98 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.59/0.98 [x,rule_15]).
% 0.59/0.98 cnf('1.0.0.0',conjecture,
% 0.59/0.98 ( true = false ),
% 0.59/0.98 file('/tmp/WALDMEISTER_4576_n029',conjecture_1)).
% 0.59/0.98 cnf('1.0.0.1',plain,
% 0.59/0.98 ( false = false ),
% 0.59/0.98 inference(reduction,[status(thm)],['1.0.0.0','0.16.2.0',theory(equality)]),
% 0.59/0.98 [pos('L','L')]).
% 0.59/0.98 cnf('1.0.0.2',plain,
% 0.59/0.98 ( $true ),
% 0.59/0.98 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.59/0.98 [conjecture_1]).
% 0.59/0.98
% 0.59/0.98 Proved Goals:
% 0.59/0.98 No. 1: true ?= false, current false ?= false
% 0.59/0.98 using narrowing to prove btrue ?= eq(prop1(x1),bfalse)
% 0.59/0.98
% 0.59/0.98 1 goal was specified, which was proved.
% 0.59/0.98 % SZS output end CNFRefutation
% 0.59/0.98 #END OF PROOF
% 0.59/0.98
% 0.59/0.98 Problem WALDMEISTER_4576_n029
% 0.59/0.98 CPs.gen 6
% 0.59/0.98 CPs.reexp 0
% 0.59/0.98 Select 16
% 0.59/0.98 R 15
% 0.59/0.98 E 1
% 0.59/0.98 vsize 6.6M
% 0.59/0.98 rss 3.9M
% 0.59/0.98 process.time 0.002s
% 0.59/0.98 wallclock.time 0.002s
% 0.59/0.98 status S
% 0.59/0.98
% 0.59/0.98
% 0.59/0.98 Waldmeister states: Goal proved.
% 0.59/0.98 % SZS status Unsatisfiable
%------------------------------------------------------------------------------