%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : COL044-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n022.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 : Fri Jul 15 00:47:34 EDT 2022
% Result : Unsatisfiable 0.57s 0.96s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL044-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n022.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 : Tue May 31 10:13:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.54/0.95 ********************************************************************************
% 0.54/0.95 * W A L D M E I S T E R \| \ / \|/ *
% 0.54/0.95 * |/ | \/ | *
% 0.54/0.95 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.54/0.95 * A. Jaeger and B. Loechner | | *
% 0.54/0.95 * <waldmeister@informatik.uni-kl.de> | *
% 0.54/0.95 ********************************************************************************
% 0.54/0.95
% 0.54/0.95
% 0.54/0.95 Goals:
% 0.54/0.95 ------
% 0.54/0.95
% 0.54/0.95 ( 1) true ?= false
% 0.54/0.95 using narrowing to prove x1 ?= apply(const1,x1)
% 0.54/0.95
% 0.54/0.95 Detected structure: KombinatorlogikB
% 0.54/0.95 ********************************************************************************
% 0.54/0.95 ****************************** COMPLETION - PROOF ******************************
% 0.54/0.95 ********************************************************************************
% 0.54/0.95
% 0.57/0.96 joined goal: 1 apply(x1,f(x1)) ?= apply(f(x1),apply(x1,f(x1))) to false
% 0.57/0.96 goal joined
% 0.57/0.96 % SZS status Unsatisfiable
% 0.57/0.96 #START OF PROOF
% 0.57/0.96 % SZS output start CNFRefutation
% 0.57/0.96 cnf('0.1.0.0',axiom,
% 0.57/0.96 ( apply(X1,apply(X2,X3)) = apply(apply(apply(b,X1),X2),X3) ),
% 0.57/0.96 file('/tmp/WALDMEISTER_10703_n022')).
% 0.57/0.96 cnf('0.1.1.0',plain,
% 0.57/0.96 ( apply(X1,apply(X2,X3)) = apply(apply(apply(b,X1),X2),X3) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.57/0.96 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.57/0.96 cnf('0.1.2.0',plain,
% 0.57/0.96 ( apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3)) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_1]).
% 0.57/0.96 cnf('0.2.0.0',axiom,
% 0.57/0.96 ( apply(apply(apply(X1,X2),X3),X2) = apply(apply(apply(n,X1),X3),X2) ),
% 0.57/0.96 file('/tmp/WALDMEISTER_10703_n022')).
% 0.57/0.96 cnf('0.2.1.0',plain,
% 0.57/0.96 ( apply(apply(apply(X1,X2),X3),X2) = apply(apply(apply(n,X1),X3),X2) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.57/0.96 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.57/0.96 cnf('0.2.2.0',plain,
% 0.57/0.96 ( apply(apply(apply(X1,X2),X3),X2) = apply(apply(apply(n,X1),X3),X2) ),
% 0.57/0.96 inference(activate,[status(thm)],['0.2.1.0']),
% 0.57/0.96 [equation_1]).
% 0.57/0.96 cnf('0.3.0.0',axiom,
% 0.57/0.96 ( eq(X1,X1) = true ),
% 0.57/0.96 file('/tmp/WALDMEISTER_10703_n022')).
% 0.57/0.96 cnf('0.3.1.0',plain,
% 0.57/0.96 ( eq(X1,X1) = true ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.57/0.96 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.57/0.96 cnf('0.3.2.0',plain,
% 0.57/0.96 ( eq(X1,X1) = true ),
% 0.57/0.96 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_2]).
% 0.57/0.96 cnf('0.4.0.0',axiom,
% 0.57/0.96 ( eq(apply(X1,f(X1)),apply(f(X1),apply(X1,f(X1)))) = false ),
% 0.57/0.96 file('/tmp/WALDMEISTER_10703_n022')).
% 0.57/0.96 cnf('0.4.1.0',plain,
% 0.57/0.96 ( eq(apply(X1,f(X1)),apply(f(X1),apply(X1,f(X1)))) = false ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.57/0.96 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.57/0.96 cnf('0.4.2.0',plain,
% 0.57/0.96 ( eq(apply(X1,f(X1)),apply(f(X1),apply(X1,f(X1)))) = false ),
% 0.57/0.96 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_3]).
% 0.57/0.96 cnf('0.6.0.0',plain,
% 0.57/0.96 ( apply(apply(apply(n,b),X1),X2) = apply(X2,apply(X1,X2)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.2.2.0','0.1.2.0',theory(equality)]),
% 0.57/0.96 [pos('L','L')]).
% 0.57/0.96 cnf('0.6.1.0',plain,
% 0.57/0.96 ( apply(apply(apply(n,b),X1),X2) = apply(X2,apply(X1,X2)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.57/0.96 [weight('<12,2,1,[1,0,0,0]>')]).
% 0.57/0.96 cnf('0.6.2.0',plain,
% 0.57/0.96 ( apply(apply(apply(n,b),X1),X2) = apply(X2,apply(X1,X2)) ),
% 0.57/0.96 inference(activate,[status(thm)],['0.6.1.0']),
% 0.57/0.96 [equation_2]).
% 0.57/0.96 cnf('0.7.0.0',plain,
% 0.57/0.96 ( false = eq(apply(X1,f(X1)),apply(apply(apply(n,b),X1),f(X1))) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.4.2.0','0.6.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2','R')]).
% 0.57/0.96 cnf('0.7.1.0',plain,
% 0.57/0.96 ( false = eq(apply(X1,f(X1)),apply(apply(apply(n,b),X1),f(X1))) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.57/0.96 [weight('<72,6,4,[0,1,0,5]>')]).
% 0.57/0.96 cnf('0.7.2.0',plain,
% 0.57/0.96 ( eq(apply(X1,f(X1)),apply(apply(apply(n,b),X1),f(X1))) = false ),
% 0.57/0.96 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_5]).
% 0.57/0.96 cnf('0.12.0.0',plain,
% 0.57/0.96 ( apply(apply(apply(n,apply(b,X1)),X2),X3) = apply(apply(X1,apply(X3,X2)),X3) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.2.2.0','0.1.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1','L')]).
% 0.57/0.96 cnf('0.12.1.0',plain,
% 0.57/0.96 ( apply(apply(apply(n,apply(b,X1)),X2),X3) = apply(apply(X1,apply(X3,X2)),X3) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.57/0.96 [weight('<16,2,1,[1,0,0,1]>')]).
% 0.57/0.96 cnf('0.12.2.0',plain,
% 0.57/0.96 ( apply(apply(apply(n,apply(b,X1)),X2),X3) = apply(apply(X1,apply(X3,X2)),X3) ),
% 0.57/0.96 inference(activate,[status(thm)],['0.12.1.0']),
% 0.57/0.96 [equation_4]).
% 0.57/0.96 cnf('0.30.0.0',plain,
% 0.57/0.96 ( apply(apply(apply(n,apply(b,apply(b,X1))),X2),X3) = apply(X1,apply(apply(X3,X2),X3)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.12.2.0','0.1.2.0',theory(equality)]),
% 0.57/0.96 [pos('R','L')]).
% 0.57/0.96 cnf('0.30.1.0',plain,
% 0.57/0.96 ( apply(apply(apply(n,apply(b,apply(b,X1))),X2),X3) = apply(X1,apply(apply(X3,X2),X3)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.57/0.96 [weight('<18,12,1,[1,1,0,0]>')]).
% 0.57/0.96 cnf('0.30.2.0',plain,
% 0.57/0.96 ( apply(apply(apply(n,apply(b,apply(b,X1))),X2),X3) = apply(X1,apply(apply(X3,X2),X3)) ),
% 0.57/0.96 inference(activate,[status(thm)],['0.30.1.0']),
% 0.57/0.96 [equation_12]).
% 0.57/0.96 cnf('0.31.0.0',plain,
% 0.57/0.96 ( false = eq(apply(apply(apply(X1,X2),X1),f(apply(apply(X1,X2),X1))),apply(apply(apply(apply(n,apply(b,apply(b,apply(n,b)))),X2),X1),f(apply(apply(X1,X2),X1)))) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.7.2.0','0.30.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2.1','R')]).
% 0.57/0.96 cnf('0.31.1.0',plain,
% 0.57/0.96 ( false = eq(apply(apply(apply(X1,X2),X1),f(apply(apply(X1,X2),X1))),apply(apply(apply(apply(n,apply(b,apply(b,apply(n,b)))),X2),X1),f(apply(apply(X1,X2),X1)))) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.31.0.0']),
% 0.57/0.96 [weight('<0,30,7,[0,1,0,6]>')]).
% 0.57/0.96 cnf('0.31.2.0',plain,
% 0.57/0.96 ( eq(apply(apply(apply(X1,X2),X1),f(apply(apply(X1,X2),X1))),apply(apply(apply(apply(n,apply(b,apply(b,apply(n,b)))),X2),X1),f(apply(apply(X1,X2),X1)))) = false ),
% 0.57/0.96 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_19]).
% 0.57/0.96 cnf('0.32.0.0',plain,
% 0.57/0.96 ( false = true ),
% 0.57/0.96 inference(cp,[status(thm)],['0.31.2.0','0.3.2.0',theory(equality)]),
% 0.57/0.96 [pos('L','L')]).
% 0.57/0.96 cnf('0.32.1.0',plain,
% 0.57/0.96 ( false = true ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.32.0.0']),
% 0.57/0.96 [weight('<2,31,3,[1,0,0,0]>')]).
% 0.57/0.96 cnf('0.32.2.0',plain,
% 0.57/0.96 ( true = false ),
% 0.57/0.96 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_20]).
% 0.57/0.96 cnf('1.0.0.0',conjecture,
% 0.57/0.96 ( true = false ),
% 0.57/0.96 file('/tmp/WALDMEISTER_10703_n022',conjecture_1)).
% 0.57/0.96 cnf('1.0.0.1',plain,
% 0.57/0.96 ( false = false ),
% 0.57/0.96 inference(reduction,[status(thm)],['1.0.0.0','0.32.2.0',theory(equality)]),
% 0.57/0.96 [pos('L','L')]).
% 0.57/0.96 cnf('1.0.0.2',plain,
% 0.57/0.96 ( $true ),
% 0.57/0.96 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.57/0.96 [conjecture_1]).
% 0.57/0.96
% 0.57/0.96 Proved Goals:
% 0.57/0.96 No. 1: true ?= false, current false ?= false
% 0.57/0.96 using narrowing to prove apply(x1,f(x1)) ?= apply(f(x1),apply(x1,f(x1)))
% 0.57/0.96
% 0.57/0.96 1 goal was specified, which was proved.
% 0.57/0.96 % SZS output end CNFRefutation
% 0.57/0.96 #END OF PROOF
% 0.57/0.97
% 0.57/0.97 Problem WALDMEISTER_10703_n022
% 0.57/0.97 CPs.gen 1011
% 0.57/0.97 CPs.reexp 0
% 0.57/0.97 Select 49
% 0.57/0.97 R 20
% 0.57/0.97 E 12
% 0.57/0.97 vsize 6.4M
% 0.57/0.97 rss 3.6M
% 0.57/0.97 process.time 0.015s
% 0.57/0.97 wallclock.time 0.016s
% 0.57/0.97 status S
% 0.57/0.97
% 0.57/0.97
% 0.57/0.97 Waldmeister states: Goal proved.
% 0.57/0.97 % SZS status Unsatisfiable
% 0.57/0.97
% 0.57/0.97 Problem WALDMEISTER_10703_n022
% 0.57/0.97 CPs.gen 0
% 0.57/0.97 CPs.reexp 0
% 0.57/0.97 Select 0
% 0.57/0.97 R 0
% 0.57/0.97 E 0
% 0.57/0.97 vsize 6.0M
% 0.57/0.97 rss 3.1M
% 0.57/0.97 process.time 0.001s
% 0.57/0.97 wallclock.time 0.016s
% 0.57/0.97 status S
%------------------------------------------------------------------------------