TSTP Solution File: COL001-1 by Waldmeister---710
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : COL001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n021.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 00:47:25 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
% 0.03/0.13 % Problem : COL001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : woody %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue May 31 15:50:30 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.59/1.00 ********************************************************************************
% 0.59/1.00 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/1.00 * |/ | \/ | *
% 0.59/1.00 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/1.00 * A. Jaeger and B. Loechner | | *
% 0.59/1.00 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/1.00 ********************************************************************************
% 0.59/1.00
% 0.59/1.00
% 0.59/1.00 Goals:
% 0.59/1.00 ------
% 0.59/1.00
% 0.59/1.00 ( 1) true ?= false
% 0.59/1.00 using narrowing to prove x1 ?= apply(combinator,x1)
% 0.59/1.00
% 0.59/1.00 Detected structure: KombinatorlogikS
% 0.59/1.00 ********************************************************************************
% 0.59/1.00 ****************************** COMPLETION - PROOF ******************************
% 0.59/1.00 ********************************************************************************
% 0.59/1.00
% 0.59/1.01 joined goal: 1 x1 ?= apply(combinator,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 ( X1 = apply(apply(k,X1),X2) ),
% 0.59/1.01 file('/tmp/WALDMEISTER_5308_n021')).
% 0.59/1.01 cnf('0.1.1.0',plain,
% 0.59/1.01 ( X1 = apply(apply(k,X1),X2) ),
% 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(apply(k,X1),X2) = X1 ),
% 0.59/1.01 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.59/1.01 [x,rule_1]).
% 0.59/1.01 cnf('0.2.0.0',axiom,
% 0.59/1.01 ( apply(apply(X1,X2),apply(X3,X2)) = apply(apply(apply(s,X1),X3),X2) ),
% 0.59/1.01 file('/tmp/WALDMEISTER_5308_n021')).
% 0.59/1.01 cnf('0.2.1.0',plain,
% 0.59/1.01 ( apply(apply(X1,X2),apply(X3,X2)) = apply(apply(apply(s,X1),X3),X2) ),
% 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(X1,X2),apply(X3,X2)) = apply(apply(apply(s,X1),X3),X2) ),
% 0.59/1.01 inference(activate,[status(thm)],['0.2.1.0']),
% 0.59/1.01 [equation_1]).
% 0.59/1.01 cnf('0.3.0.0',axiom,
% 0.59/1.01 ( eq(X1,X1) = true ),
% 0.59/1.01 file('/tmp/WALDMEISTER_5308_n021')).
% 0.59/1.01 cnf('0.3.1.0',plain,
% 0.59/1.01 ( eq(X1,X1) = true ),
% 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 ( eq(X1,X1) = true ),
% 0.59/1.01 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.59/1.01 [u,rule_2]).
% 0.59/1.01 cnf('0.4.0.0',axiom,
% 0.59/1.01 ( eq(X1,apply(combinator,X1)) = false ),
% 0.59/1.01 file('/tmp/WALDMEISTER_5308_n021')).
% 0.59/1.01 cnf('0.4.1.0',plain,
% 0.59/1.01 ( eq(X1,apply(combinator,X1)) = false ),
% 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,apply(combinator,X1)) = false ),
% 0.59/1.01 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.59/1.01 [u,rule_3]).
% 0.59/1.01 cnf('0.5.0.0',plain,
% 0.59/1.01 ( apply(apply(apply(s,k),X1),X2) = X2 ),
% 0.59/1.01 inference(cp,[status(thm)],['0.2.2.0','0.1.2.0',theory(equality)]),
% 0.59/1.01 [pos('L','L')]).
% 0.59/1.01 cnf('0.5.1.0',plain,
% 0.59/1.01 ( apply(apply(apply(s,k),X1),X2) = X2 ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.59/1.01 [weight('<8,2,1,[1,0,0,0]>')]).
% 0.59/1.01 cnf('0.5.2.0',plain,
% 0.59/1.01 ( apply(apply(apply(s,k),X1),X2) = X2 ),
% 0.59/1.01 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.59/1.01 [u,rule_4]).
% 0.59/1.01 cnf('0.7.0.0',plain,
% 0.59/1.01 ( apply(apply(apply(s,apply(k,X1)),X2),X3) = apply(X1,apply(X2,X3)) ),
% 0.59/1.01 inference(cp,[status(thm)],['0.2.2.0','0.1.2.0',theory(equality)]),
% 0.59/1.01 [pos('L.1','L')]).
% 0.59/1.01 cnf('0.7.1.0',plain,
% 0.59/1.01 ( apply(apply(apply(s,apply(k,X1)),X2),X3) = apply(X1,apply(X2,X3)) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.59/1.01 [weight('<14,2,1,[1,0,0,1]>')]).
% 0.59/1.01 cnf('0.7.2.0',plain,
% 0.59/1.01 ( apply(apply(apply(s,apply(k,X1)),X2),X3) = apply(X1,apply(X2,X3)) ),
% 0.59/1.01 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.59/1.01 [u,rule_6]).
% 0.59/1.01 cnf('0.31.0.0',plain,
% 0.59/1.01 ( apply(X1,apply(X2,apply(X3,X2))) = apply(apply(apply(s,apply(s,apply(k,X1))),X3),X2) ),
% 0.59/1.01 inference(cp,[status(thm)],['0.7.2.0','0.2.2.0',theory(equality)]),
% 0.59/1.01 [pos('L','L')]).
% 0.59/1.01 cnf('0.31.1.0',plain,
% 0.59/1.01 ( apply(X1,apply(X2,apply(X3,X2))) = apply(apply(apply(s,apply(s,apply(k,X1))),X3),X2) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.31.0.0']),
% 0.59/1.01 [weight('<18,7,2,[1,0,0,0]>')]).
% 0.59/1.01 cnf('0.31.2.0',plain,
% 0.59/1.01 ( apply(X1,apply(X2,apply(X3,X2))) = apply(apply(apply(s,apply(s,apply(k,X1))),X3),X2) ),
% 0.59/1.01 inference(activate,[status(thm)],['0.31.1.0']),
% 0.59/1.01 [equation_9]).
% 0.59/1.01 cnf('0.32.0.0',plain,
% 0.59/1.01 ( false = eq(apply(X1,apply(X2,X1)),apply(apply(apply(s,apply(s,apply(k,combinator))),X2),X1)) ),
% 0.59/1.01 inference(cp,[status(thm)],['0.4.2.0','0.31.2.0',theory(equality)]),
% 0.59/1.01 [pos('L.2','L')]).
% 0.59/1.01 cnf('0.32.1.0',plain,
% 0.59/1.01 ( false = eq(apply(X1,apply(X2,X1)),apply(apply(apply(s,apply(s,apply(k,combinator))),X2),X1)) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.32.0.0']),
% 0.59/1.01 [weight('<80,31,4,[0,0,0,2]>')]).
% 0.59/1.01 cnf('0.32.2.0',plain,
% 0.59/1.01 ( eq(apply(X1,apply(X2,X1)),apply(apply(apply(s,apply(s,apply(k,combinator))),X2),X1)) = false ),
% 0.59/1.01 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.59/1.01 [x,rule_23]).
% 0.59/1.01 cnf('0.34.0.0',plain,
% 0.59/1.01 ( false = eq(apply(X1,X1),apply(apply(apply(s,apply(s,apply(k,combinator))),apply(apply(s,k),X2)),X1)) ),
% 0.59/1.01 inference(cp,[status(thm)],['0.32.2.0','0.5.2.0',theory(equality)]),
% 0.59/1.01 [pos('L.1.2','L')]).
% 0.59/1.01 cnf('0.34.1.0',plain,
% 0.59/1.01 ( false = eq(apply(X1,X1),apply(apply(apply(s,apply(s,apply(k,combinator))),apply(apply(s,k),X2)),X1)) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.34.0.0']),
% 0.59/1.01 [weight('<0,32,5,[1,0,0,3]>')]).
% 0.59/1.01 cnf('0.34.2.0',plain,
% 0.59/1.01 ( eq(apply(X1,X1),apply(apply(apply(s,apply(s,apply(k,combinator))),apply(apply(s,k),X2)),X1)) = false ),
% 0.59/1.01 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.59/1.01 [x,rule_25]).
% 0.59/1.01 cnf('0.35.0.0',plain,
% 0.59/1.01 ( false = true ),
% 0.59/1.01 inference(cp,[status(thm)],['0.34.2.0','0.3.2.0',theory(equality)]),
% 0.59/1.01 [pos('L','L')]).
% 0.59/1.01 cnf('0.35.1.0',plain,
% 0.59/1.01 ( false = true ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.35.0.0']),
% 0.59/1.01 [weight('<2,34,3,[1,0,0,0]>')]).
% 0.59/1.01 cnf('0.35.2.0',plain,
% 0.59/1.01 ( true = false ),
% 0.59/1.01 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.59/1.01 [x,rule_26]).
% 0.59/1.01 cnf('1.0.0.0',conjecture,
% 0.59/1.01 ( true = false ),
% 0.59/1.01 file('/tmp/WALDMEISTER_5308_n021',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','0.35.2.0',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 x1 ?= apply(combinator,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_5308_n021
% 0.59/1.01 CPs.gen 960
% 0.59/1.01 CPs.reexp 0
% 0.59/1.01 Select 43
% 0.59/1.01 R 26
% 0.59/1.01 E 9
% 0.59/1.01 vsize 6.4M
% 0.59/1.01 rss 3.6M
% 0.59/1.01 process.time 0.008s
% 0.59/1.01 wallclock.time 0.009s
% 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_5308_n021
% 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 3.1M
% 0.59/1.01 process.time 0.001s
% 0.59/1.01 wallclock.time 0.008s
% 0.59/1.01 status S
%------------------------------------------------------------------------------