TSTP Solution File: COL049-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : COL049-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n025.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 00:47:35 EDT 2022
% Result : Unsatisfiable 0.59s 1.01s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : COL049-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n025.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 13:02:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.57/0.98 ********************************************************************************
% 0.57/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.98 * |/ | \/ | *
% 0.57/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.98 * A. Jaeger and B. Loechner | | *
% 0.57/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.98 ********************************************************************************
% 0.57/0.98
% 0.57/0.98
% 0.57/0.98 Goals:
% 0.57/0.98 ------
% 0.57/0.98
% 0.57/0.98 ( 1) true ?= false
% 0.57/0.98 using narrowing to prove x1 ?= apply(const1,x1)
% 0.57/0.98
% 0.57/0.98 Detected structure: KombinatorlogikB
% 0.57/0.98 ********************************************************************************
% 0.57/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.98 ********************************************************************************
% 0.57/0.98
% 0.59/1.01 joined goal: 1 apply(x1,f(x1)) ?= apply(f(x1),apply(x1,f(x1))) to false
% 0.59/1.01 goal joined
% 0.59/1.01 % SZS status Unsatisfiable
% 0.59/1.01 #START OF PROOF
% 0.59/1.01 % SZS output start CNFRefutation
% 0.59/1.01 cnf('0.1.0.0',axiom,
% 0.59/1.01 ( apply(X1,X1) = apply(m,X1) ),
% 0.59/1.01 file('/tmp/WALDMEISTER_5835_n025')).
% 0.59/1.01 cnf('0.1.1.0',plain,
% 0.59/1.01 ( apply(X1,X1) = apply(m,X1) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.59/1.01 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.59/1.01 cnf('0.1.2.0',plain,
% 0.59/1.01 ( apply(X1,X1) = apply(m,X1) ),
% 0.59/1.01 inference(activate,[status(thm)],['0.1.1.0']),
% 0.59/1.01 [equation_1]).
% 0.59/1.01 cnf('0.2.0.0',axiom,
% 0.59/1.01 ( apply(X1,apply(X2,X3)) = apply(apply(apply(b,X1),X2),X3) ),
% 0.59/1.01 file('/tmp/WALDMEISTER_5835_n025')).
% 0.59/1.01 cnf('0.2.1.0',plain,
% 0.59/1.01 ( apply(X1,apply(X2,X3)) = apply(apply(apply(b,X1),X2),X3) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.59/1.01 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.59/1.01 cnf('0.2.2.0',plain,
% 0.59/1.01 ( apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3)) ),
% 0.59/1.01 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.59/1.01 [x,rule_1]).
% 0.59/1.01 cnf('0.3.0.0',axiom,
% 0.59/1.01 ( apply(apply(X1,X2),X2) = apply(apply(w,X1),X2) ),
% 0.59/1.01 file('/tmp/WALDMEISTER_5835_n025')).
% 0.59/1.01 cnf('0.3.1.0',plain,
% 0.59/1.01 ( apply(apply(X1,X2),X2) = apply(apply(w,X1),X2) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.59/1.01 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.59/1.01 cnf('0.3.2.0',plain,
% 0.59/1.01 ( apply(apply(X1,X2),X2) = apply(apply(w,X1),X2) ),
% 0.59/1.01 inference(activate,[status(thm)],['0.3.1.0']),
% 0.59/1.01 [equation_2]).
% 0.59/1.01 cnf('0.4.0.0',axiom,
% 0.59/1.01 ( eq(X1,X1) = true ),
% 0.59/1.01 file('/tmp/WALDMEISTER_5835_n025')).
% 0.59/1.01 cnf('0.4.1.0',plain,
% 0.59/1.01 ( eq(X1,X1) = true ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.59/1.01 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.59/1.01 cnf('0.4.2.0',plain,
% 0.59/1.01 ( eq(X1,X1) = true ),
% 0.59/1.01 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.59/1.01 [u,rule_2]).
% 0.59/1.01 cnf('0.5.0.0',axiom,
% 0.59/1.01 ( eq(apply(X1,f(X1)),apply(f(X1),apply(X1,f(X1)))) = false ),
% 0.59/1.01 file('/tmp/WALDMEISTER_5835_n025')).
% 0.59/1.01 cnf('0.5.1.0',plain,
% 0.59/1.01 ( eq(apply(X1,f(X1)),apply(f(X1),apply(X1,f(X1)))) = false ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.59/1.01 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.59/1.01 cnf('0.5.2.0',plain,
% 0.59/1.01 ( eq(apply(X1,f(X1)),apply(f(X1),apply(X1,f(X1)))) = false ),
% 0.59/1.01 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.59/1.01 [u,rule_3]).
% 0.59/1.01 cnf('0.7.0.0',plain,
% 0.59/1.01 ( false = eq(apply(X1,apply(X2,f(apply(apply(b,X1),X2)))),apply(f(apply(apply(b,X1),X2)),apply(apply(apply(b,X1),X2),f(apply(apply(b,X1),X2))))) ),
% 0.59/1.01 inference(cp,[status(thm)],['0.5.2.0','0.2.2.0',theory(equality)]),
% 0.59/1.01 [pos('L.1','L')]).
% 0.59/1.01 cnf('0.7.0.1',plain,
% 0.59/1.01 ( false = eq(apply(X1,apply(X2,f(apply(apply(b,X1),X2)))),apply(f(apply(apply(b,X1),X2)),apply(X1,apply(X2,f(apply(apply(b,X1),X2)))))) ),
% 0.59/1.01 inference(reduction,[status(thm)],['0.7.0.0','0.2.2.0',theory(equality)]),
% 0.59/1.01 [pos('R.2.2','L')]).
% 0.59/1.01 cnf('0.7.1.0',plain,
% 0.59/1.01 ( false = eq(apply(X1,apply(X2,f(apply(apply(b,X1),X2)))),apply(f(apply(apply(b,X1),X2)),apply(X1,apply(X2,f(apply(apply(b,X1),X2)))))) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.7.0.1']),
% 0.59/1.01 [weight('<459,5,2,[1,0,0,1]>')]).
% 0.59/1.01 cnf('0.7.2.0',plain,
% 0.59/1.01 ( eq(apply(X1,apply(X2,f(apply(apply(b,X1),X2)))),apply(f(apply(apply(b,X1),X2)),apply(X1,apply(X2,f(apply(apply(b,X1),X2)))))) = false ),
% 0.59/1.01 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.59/1.01 [x,rule_4]).
% 0.59/1.01 cnf('0.9.0.0',plain,
% 0.59/1.01 ( false = eq(apply(X1,apply(X2,apply(X3,f(apply(apply(b,X1),apply(apply(b,X2),X3)))))),apply(f(apply(apply(b,X1),apply(apply(b,X2),X3))),apply(X1,apply(apply(apply(b,X2),X3),f(apply(apply(b,X1),apply(apply(b,X2),X3))))))) ),
% 0.59/1.01 inference(cp,[status(thm)],['0.7.2.0','0.2.2.0',theory(equality)]),
% 0.59/1.01 [pos('L.1.2','L')]).
% 0.59/1.01 cnf('0.9.0.1',plain,
% 0.59/1.01 ( false = eq(apply(X1,apply(X2,apply(X3,f(apply(apply(b,X1),apply(apply(b,X2),X3)))))),apply(f(apply(apply(b,X1),apply(apply(b,X2),X3))),apply(X1,apply(X2,apply(X3,f(apply(apply(b,X1),apply(apply(b,X2),X3)))))))) ),
% 0.59/1.01 inference(reduction,[status(thm)],['0.9.0.0','0.2.2.0',theory(equality)]),
% 0.59/1.01 [pos('R.2.2.2','L')]).
% 0.59/1.01 cnf('0.9.1.0',plain,
% 0.59/1.01 ( false = eq(apply(X1,apply(X2,apply(X3,f(apply(apply(b,X1),apply(apply(b,X2),X3)))))),apply(f(apply(apply(b,X1),apply(apply(b,X2),X3))),apply(X1,apply(X2,apply(X3,f(apply(apply(b,X1),apply(apply(b,X2),X3)))))))) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.9.0.1']),
% 0.59/1.01 [weight('<946,7,2,[1,0,0,3]>')]).
% 0.59/1.01 cnf('0.9.2.0',plain,
% 0.59/1.01 ( eq(apply(X1,apply(X2,apply(X3,f(apply(apply(b,X1),apply(apply(b,X2),X3)))))),apply(f(apply(apply(b,X1),apply(apply(b,X2),X3))),apply(X1,apply(X2,apply(X3,f(apply(apply(b,X1),apply(apply(b,X2),X3)))))))) = false ),
% 0.59/1.01 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.59/1.01 [x,rule_5]).
% 0.59/1.01 cnf('0.16.0.0',plain,
% 0.59/1.01 ( apply(apply(w,apply(b,X1)),X2) = apply(X1,apply(X2,X2)) ),
% 0.59/1.01 inference(cp,[status(thm)],['0.3.2.0','0.2.2.0',theory(equality)]),
% 0.59/1.01 [pos('L','L')]).
% 0.59/1.01 cnf('0.16.1.0',plain,
% 0.59/1.01 ( apply(apply(w,apply(b,X1)),X2) = apply(X1,apply(X2,X2)) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.59/1.01 [weight('<12,3,2,[1,0,0,0]>')]).
% 0.59/1.01 cnf('0.16.2.0',plain,
% 0.59/1.01 ( apply(apply(w,apply(b,X1)),X2) = apply(X1,apply(X2,X2)) ),
% 0.59/1.01 inference(activate,[status(thm)],['0.16.1.0']),
% 0.59/1.01 [equation_7]).
% 0.59/1.01 cnf('0.24.0.0',plain,
% 0.59/1.01 ( apply(apply(w,apply(b,X1)),X2) = apply(X1,apply(m,X2)) ),
% 0.59/1.01 inference(cp,[status(thm)],['0.16.2.0','0.1.2.0',theory(equality)]),
% 0.59/1.01 [pos('R.2','L')]).
% 0.59/1.01 cnf('0.24.1.0',plain,
% 0.59/1.01 ( apply(apply(w,apply(b,X1)),X2) = apply(X1,apply(m,X2)) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.59/1.01 [weight('<12,16,1,[1,1,0,2]>')]).
% 0.59/1.01 cnf('0.24.2.0',plain,
% 0.59/1.01 ( apply(apply(w,apply(b,X1)),X2) = apply(X1,apply(m,X2)) ),
% 0.59/1.01 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.59/1.01 [u,rule_15]).
% 0.59/1.01 cnf('0.62.0.0',plain,
% 0.59/1.01 ( apply(X1,apply(m,apply(w,apply(b,X1)))) = apply(m,apply(w,apply(b,X1))) ),
% 0.59/1.01 inference(cp,[status(thm)],['0.24.2.0','0.1.2.0',theory(equality)]),
% 0.59/1.01 [pos('L','L')]).
% 0.59/1.01 cnf('0.62.1.0',plain,
% 0.59/1.01 ( apply(X1,apply(m,apply(w,apply(b,X1)))) = apply(m,apply(w,apply(b,X1))) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.62.0.0']),
% 0.59/1.01 [weight('<16,24,1,[1,0,0,0]>')]).
% 0.59/1.01 cnf('0.62.2.0',plain,
% 0.59/1.01 ( apply(X1,apply(m,apply(w,apply(b,X1)))) = apply(m,apply(w,apply(b,X1))) ),
% 0.59/1.01 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 0.59/1.01 [u,rule_43]).
% 0.59/1.01 cnf('0.64.0.0',plain,
% 0.59/1.01 ( false = eq(apply(m,apply(w,apply(b,f(apply(apply(b,m),apply(apply(b,w),b)))))),apply(m,apply(w,apply(b,f(apply(apply(b,m),apply(apply(b,w),b))))))) ),
% 0.59/1.01 inference(cp,[status(thm)],['0.9.2.0','0.62.2.0',theory(equality)]),
% 0.59/1.01 [pos('L.2','L')]).
% 0.59/1.01 cnf('0.64.0.1',plain,
% 0.59/1.01 ( false = true ),
% 0.59/1.01 inference(reduction,[status(thm)],['0.64.0.0','0.4.2.0',theory(equality)]),
% 0.59/1.01 [pos('R','L')]).
% 0.59/1.01 cnf('0.64.1.0',plain,
% 0.59/1.01 ( false = true ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.64.0.1']),
% 0.59/1.01 [weight('<2,62,9,[0,0,0,17]>')]).
% 0.59/1.01 cnf('0.64.2.0',plain,
% 0.59/1.01 ( true = false ),
% 0.59/1.01 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 0.59/1.01 [x,rule_45]).
% 0.59/1.01 cnf('1.0.0.0',conjecture,
% 0.59/1.01 ( true = false ),
% 0.59/1.01 file('/tmp/WALDMEISTER_5835_n025',conjecture_1)).
% 0.59/1.01 cnf('1.0.0.1',plain,
% 0.59/1.01 ( false = false ),
% 0.59/1.01 inference(reduction,[status(thm)],['1.0.0.0','0.64.2.0',theory(equality)]),
% 0.59/1.01 [pos('L','L')]).
% 0.59/1.01 cnf('1.0.0.2',plain,
% 0.59/1.01 ( $true ),
% 0.59/1.01 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.59/1.01 [conjecture_1]).
% 0.59/1.01
% 0.59/1.01 Proved Goals:
% 0.59/1.01 No. 1: true ?= false, current false ?= false
% 0.59/1.01 using narrowing to prove apply(x1,f(x1)) ?= apply(f(x1),apply(x1,f(x1)))
% 0.59/1.01
% 0.59/1.01 1 goal was specified, which was proved.
% 0.59/1.01 % SZS output end CNFRefutation
% 0.59/1.01 #END OF PROOF
% 0.59/1.01
% 0.59/1.01 Problem WALDMEISTER_5835_n025
% 0.59/1.01 CPs.gen 1697
% 0.59/1.01 CPs.reexp 0
% 0.59/1.01 Select 169
% 0.59/1.01 R 45
% 0.59/1.01 E 19
% 0.59/1.01 vsize 6.5M
% 0.59/1.01 rss 3.6M
% 0.59/1.01 process.time 0.038s
% 0.59/1.01 wallclock.time 0.039s
% 0.59/1.01 status S
% 0.59/1.01
% 0.59/1.01
% 0.59/1.01 Waldmeister states: Goal proved.
% 0.59/1.01 % SZS status Unsatisfiable
% 0.59/1.01
% 0.59/1.01 Problem WALDMEISTER_5835_n025
% 0.59/1.01 CPs.gen 0
% 0.59/1.01 CPs.reexp 0
% 0.59/1.01 Select 0
% 0.59/1.01 R 0
% 0.59/1.01 E 0
% 0.59/1.01 vsize 6.0M
% 0.59/1.01 rss 3.2M
% 0.59/1.01 process.time 0.001s
% 0.59/1.01 wallclock.time 0.038s
% 0.59/1.01 status S
%------------------------------------------------------------------------------