TSTP Solution File: COL066-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : COL066-1 : 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 00:47:40 EDT 2022
% Result : Unsatisfiable 0.75s 1.15s
% Output : CNFRefutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL066-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : woody %s
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue May 31 10:11:59 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.63/0.99 ********************************************************************************
% 0.63/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.63/0.99 * |/ | \/ | *
% 0.63/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.63/0.99 * A. Jaeger and B. Loechner | | *
% 0.63/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.63/0.99 ********************************************************************************
% 0.63/0.99
% 0.63/0.99
% 0.63/0.99 Goals:
% 0.63/0.99 ------
% 0.63/0.99
% 0.63/0.99 ( 1) true ?= false
% 0.63/0.99 using narrowing to prove apply(apply(apply(apply(x1,f(x1)),g(x1)),g(x1)),h(x1)) ?= apply(apply(f(x1),g(x1)),apply(apply(f(x1),g(x1)),h(x1)))
% 0.63/0.99
% 0.63/0.99 Detected structure: KombinatorlogikQ
% 0.63/0.99 ********************************************************************************
% 0.63/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.63/0.99 ********************************************************************************
% 0.63/0.99
% 0.75/1.15 joined goal: 1 apply(apply(apply(apply(x1,f(x1)),g(x1)),g(x1)),h(x1)) ?= apply(apply(f(x1),g(x1)),apply(apply(f(x1),g(x1)),h(x1))) to false
% 0.75/1.15 goal joined
% 0.75/1.15 % SZS status Unsatisfiable
% 0.75/1.15 #START OF PROOF
% 0.75/1.15 % SZS output start CNFRefutation
% 0.75/1.15 cnf('0.1.0.0',axiom,
% 0.75/1.15 ( apply(X1,apply(X2,X3)) = apply(apply(apply(b,X1),X2),X3) ),
% 0.75/1.15 file('/tmp/WALDMEISTER_22926_n021')).
% 0.75/1.15 cnf('0.1.1.0',plain,
% 0.75/1.15 ( apply(X1,apply(X2,X3)) = apply(apply(apply(b,X1),X2),X3) ),
% 0.75/1.15 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.75/1.15 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.75/1.15 cnf('0.1.2.0',plain,
% 0.75/1.15 ( apply(X1,apply(X2,X3)) = apply(apply(apply(b,X1),X2),X3) ),
% 0.75/1.15 inference(activate,[status(thm)],['0.1.1.0']),
% 0.75/1.15 [equation_1]).
% 0.75/1.15 cnf('0.2.0.0',axiom,
% 0.75/1.15 ( apply(X1,apply(X2,X3)) = apply(apply(apply(q,X2),X1),X3) ),
% 0.75/1.15 file('/tmp/WALDMEISTER_22926_n021')).
% 0.75/1.15 cnf('0.2.1.0',plain,
% 0.75/1.15 ( apply(X1,apply(X2,X3)) = apply(apply(apply(q,X2),X1),X3) ),
% 0.75/1.15 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.75/1.15 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.75/1.15 cnf('0.2.2.0',plain,
% 0.75/1.15 ( apply(X1,apply(X2,X3)) = apply(apply(apply(q,X2),X1),X3) ),
% 0.75/1.15 inference(activate,[status(thm)],['0.2.1.0']),
% 0.75/1.15 [equation_2]).
% 0.75/1.15 cnf('0.3.0.0',axiom,
% 0.75/1.15 ( apply(apply(X1,X2),X2) = apply(apply(w,X1),X2) ),
% 0.75/1.15 file('/tmp/WALDMEISTER_22926_n021')).
% 0.75/1.15 cnf('0.3.1.0',plain,
% 0.75/1.15 ( apply(apply(X1,X2),X2) = apply(apply(w,X1),X2) ),
% 0.75/1.15 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.75/1.15 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.75/1.15 cnf('0.3.2.0',plain,
% 0.75/1.15 ( apply(apply(X1,X2),X2) = apply(apply(w,X1),X2) ),
% 0.75/1.15 inference(activate,[status(thm)],['0.3.1.0']),
% 0.75/1.15 [equation_3]).
% 0.75/1.15 cnf('0.4.0.0',axiom,
% 0.75/1.15 ( eq(X1,X1) = true ),
% 0.75/1.15 file('/tmp/WALDMEISTER_22926_n021')).
% 0.75/1.15 cnf('0.4.1.0',plain,
% 0.75/1.15 ( eq(X1,X1) = true ),
% 0.75/1.15 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.75/1.15 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.75/1.15 cnf('0.4.2.0',plain,
% 0.75/1.15 ( eq(X1,X1) = true ),
% 0.75/1.15 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.75/1.15 [u,rule_1]).
% 0.75/1.15 cnf('0.5.0.0',axiom,
% 0.75/1.15 ( eq(apply(apply(apply(apply(X1,f(X1)),g(X1)),g(X1)),h(X1)),apply(apply(f(X1),g(X1)),apply(apply(f(X1),g(X1)),h(X1)))) = false ),
% 0.75/1.15 file('/tmp/WALDMEISTER_22926_n021')).
% 0.75/1.15 cnf('0.5.1.0',plain,
% 0.75/1.15 ( eq(apply(apply(apply(apply(X1,f(X1)),g(X1)),g(X1)),h(X1)),apply(apply(f(X1),g(X1)),apply(apply(f(X1),g(X1)),h(X1)))) = false ),
% 0.75/1.15 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.75/1.15 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.75/1.15 cnf('0.5.2.0',plain,
% 0.75/1.15 ( eq(apply(apply(apply(apply(X1,f(X1)),g(X1)),g(X1)),h(X1)),apply(apply(f(X1),g(X1)),apply(apply(f(X1),g(X1)),h(X1)))) = false ),
% 0.75/1.15 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.75/1.15 [u,rule_2]).
% 0.75/1.15 cnf('0.6.0.0',plain,
% 0.75/1.15 ( false = eq(apply(apply(apply(apply(X1,f(X1)),g(X1)),g(X1)),h(X1)),apply(apply(apply(b,apply(f(X1),g(X1))),apply(f(X1),g(X1))),h(X1))) ),
% 0.75/1.15 inference(cp,[status(thm)],['0.5.2.0','0.1.2.0',theory(equality)]),
% 0.75/1.15 [pos('L.2','L')]).
% 0.75/1.15 cnf('0.6.1.0',plain,
% 0.75/1.15 ( false = eq(apply(apply(apply(apply(X1,f(X1)),g(X1)),g(X1)),h(X1)),apply(apply(apply(b,apply(f(X1),g(X1))),apply(f(X1),g(X1))),h(X1))) ),
% 0.75/1.15 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.75/1.15 [weight('<29,5,1,[1,0,0,14]>')]).
% 0.75/1.15 cnf('0.6.2.0',plain,
% 0.75/1.15 ( eq(apply(apply(apply(apply(X1,f(X1)),g(X1)),g(X1)),h(X1)),apply(apply(apply(b,apply(f(X1),g(X1))),apply(f(X1),g(X1))),h(X1))) = false ),
% 0.75/1.15 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.75/1.15 [x,rule_3]).
% 0.75/1.15 cnf('0.25.0.0',plain,
% 0.75/1.15 ( false = eq(apply(apply(apply(apply(X1,f(X1)),g(X1)),g(X1)),h(X1)),apply(apply(apply(apply(q,f(X1)),apply(b,apply(f(X1),g(X1)))),g(X1)),h(X1))) ),
% 0.75/1.15 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 0.75/1.15 [pos('L.2.1','L')]).
% 0.75/1.15 cnf('0.25.1.0',plain,
% 0.75/1.15 ( false = eq(apply(apply(apply(apply(X1,f(X1)),g(X1)),g(X1)),h(X1)),apply(apply(apply(apply(q,f(X1)),apply(b,apply(f(X1),g(X1)))),g(X1)),h(X1))) ),
% 0.75/1.15 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.75/1.15 [weight('<31,6,2,[1,0,0,15]>')]).
% 0.75/1.15 cnf('0.25.2.0',plain,
% 0.75/1.15 ( eq(apply(apply(apply(apply(X1,f(X1)),g(X1)),g(X1)),h(X1)),apply(apply(apply(apply(q,f(X1)),apply(b,apply(f(X1),g(X1)))),g(X1)),h(X1))) = false ),
% 0.75/1.15 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.75/1.15 [x,rule_22]).
% 0.75/1.15 cnf('0.48.0.0',plain,
% 0.75/1.15 ( false = eq(apply(apply(apply(apply(X1,f(X1)),g(X1)),g(X1)),h(X1)),apply(apply(apply(apply(apply(q,b),apply(q,f(X1))),apply(f(X1),g(X1))),g(X1)),h(X1))) ),
% 0.75/1.15 inference(cp,[status(thm)],['0.25.2.0','0.2.2.0',theory(equality)]),
% 0.75/1.15 [pos('L.2.1.1','L')]).
% 0.75/1.15 cnf('0.48.1.0',plain,
% 0.75/1.15 ( false = eq(apply(apply(apply(apply(X1,f(X1)),g(X1)),g(X1)),h(X1)),apply(apply(apply(apply(apply(q,b),apply(q,f(X1))),apply(f(X1),g(X1))),g(X1)),h(X1))) ),
% 0.75/1.15 inference(weigh,[status(thm)],['0.48.0.0']),
% 0.75/1.15 [weight('<33,25,2,[1,0,0,16]>')]).
% 0.75/1.15 cnf('0.48.2.0',plain,
% 0.75/1.15 ( eq(apply(apply(apply(apply(X1,f(X1)),g(X1)),g(X1)),h(X1)),apply(apply(apply(apply(apply(q,b),apply(q,f(X1))),apply(f(X1),g(X1))),g(X1)),h(X1))) = false ),
% 0.75/1.15 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 0.75/1.15 [x,rule_45]).
% 0.75/1.15 cnf('0.93.0.0',plain,
% 0.75/1.15 ( false = eq(apply(apply(apply(apply(X1,f(X1)),g(X1)),g(X1)),h(X1)),apply(apply(apply(apply(apply(q,f(X1)),apply(apply(q,b),apply(q,f(X1)))),g(X1)),g(X1)),h(X1))) ),
% 0.75/1.15 inference(cp,[status(thm)],['0.48.2.0','0.2.2.0',theory(equality)]),
% 0.75/1.15 [pos('L.2.1.1','L')]).
% 0.75/1.15 cnf('0.93.1.0',plain,
% 0.75/1.15 ( false = eq(apply(apply(apply(apply(X1,f(X1)),g(X1)),g(X1)),h(X1)),apply(apply(apply(apply(apply(q,f(X1)),apply(apply(q,b),apply(q,f(X1)))),g(X1)),g(X1)),h(X1))) ),
% 0.75/1.15 inference(weigh,[status(thm)],['0.93.0.0']),
% 0.75/1.15 [weight('<35,48,2,[1,0,0,16]>')]).
% 0.75/1.15 cnf('0.93.2.0',plain,
% 0.75/1.15 ( eq(apply(apply(apply(apply(X1,f(X1)),g(X1)),g(X1)),h(X1)),apply(apply(apply(apply(apply(q,f(X1)),apply(apply(q,b),apply(q,f(X1)))),g(X1)),g(X1)),h(X1))) = false ),
% 0.75/1.15 inference(orient,[status(thm)],['0.93.1.0',theory(equality)]),
% 0.75/1.15 [x,rule_90]).
% 0.75/1.15 cnf('0.324.0.0',plain,
% 0.75/1.15 ( false = eq(apply(apply(apply(apply(X1,f(X1)),g(X1)),g(X1)),h(X1)),apply(apply(apply(apply(apply(apply(q,apply(q,b)),apply(q,f(X1))),apply(q,f(X1))),g(X1)),g(X1)),h(X1))) ),
% 0.75/1.15 inference(cp,[status(thm)],['0.93.2.0','0.2.2.0',theory(equality)]),
% 0.75/1.15 [pos('L.2.1.1.1','L')]).
% 0.75/1.15 cnf('0.324.1.0',plain,
% 0.75/1.15 ( false = eq(apply(apply(apply(apply(X1,f(X1)),g(X1)),g(X1)),h(X1)),apply(apply(apply(apply(apply(apply(q,apply(q,b)),apply(q,f(X1))),apply(q,f(X1))),g(X1)),g(X1)),h(X1))) ),
% 0.75/1.15 inference(weigh,[status(thm)],['0.324.0.0']),
% 0.75/1.15 [weight('<37,93,2,[1,0,0,17]>')]).
% 0.75/1.15 cnf('0.324.2.0',plain,
% 0.75/1.15 ( eq(apply(apply(apply(apply(X1,f(X1)),g(X1)),g(X1)),h(X1)),apply(apply(apply(apply(apply(apply(q,apply(q,b)),apply(q,f(X1))),apply(q,f(X1))),g(X1)),g(X1)),h(X1))) = false ),
% 0.75/1.15 inference(orient,[status(thm)],['0.324.1.0',theory(equality)]),
% 0.75/1.15 [x,rule_321]).
% 0.75/1.15 cnf('0.325.0.0',plain,
% 0.75/1.15 ( false = eq(apply(apply(apply(apply(X1,f(X1)),g(X1)),g(X1)),h(X1)),apply(apply(apply(apply(apply(w,apply(q,apply(q,b))),apply(q,f(X1))),g(X1)),g(X1)),h(X1))) ),
% 0.75/1.15 inference(cp,[status(thm)],['0.324.2.0','0.3.2.0',theory(equality)]),
% 0.75/1.15 [pos('L.2.1.1.1','L')]).
% 0.75/1.15 cnf('0.325.1.0',plain,
% 0.75/1.15 ( false = eq(apply(apply(apply(apply(X1,f(X1)),g(X1)),g(X1)),h(X1)),apply(apply(apply(apply(apply(w,apply(q,apply(q,b))),apply(q,f(X1))),g(X1)),g(X1)),h(X1))) ),
% 0.75/1.15 inference(weigh,[status(thm)],['0.325.0.0']),
% 0.75/1.15 [weight('<34,324,3,[1,0,0,17]>')]).
% 0.75/1.15 cnf('0.325.2.0',plain,
% 0.75/1.15 ( eq(apply(apply(apply(apply(X1,f(X1)),g(X1)),g(X1)),h(X1)),apply(apply(apply(apply(apply(w,apply(q,apply(q,b))),apply(q,f(X1))),g(X1)),g(X1)),h(X1))) = false ),
% 0.75/1.15 inference(orient,[status(thm)],['0.325.1.0',theory(equality)]),
% 0.75/1.15 [x,rule_322]).
% 0.75/1.15 cnf('0.326.0.0',plain,
% 0.75/1.15 ( false = eq(apply(apply(apply(apply(X1,f(X1)),g(X1)),g(X1)),h(X1)),apply(apply(apply(apply(apply(apply(q,q),apply(w,apply(q,apply(q,b)))),f(X1)),g(X1)),g(X1)),h(X1))) ),
% 0.75/1.15 inference(cp,[status(thm)],['0.325.2.0','0.2.2.0',theory(equality)]),
% 0.75/1.15 [pos('L.2.1.1.1','L')]).
% 0.75/1.15 cnf('0.326.1.0',plain,
% 0.75/1.15 ( false = eq(apply(apply(apply(apply(X1,f(X1)),g(X1)),g(X1)),h(X1)),apply(apply(apply(apply(apply(apply(q,q),apply(w,apply(q,apply(q,b)))),f(X1)),g(X1)),g(X1)),h(X1))) ),
% 0.75/1.15 inference(weigh,[status(thm)],['0.326.0.0']),
% 0.75/1.15 [weight('<36,325,2,[1,0,0,17]>')]).
% 0.75/1.15 cnf('0.326.2.0',plain,
% 0.75/1.15 ( eq(apply(apply(apply(apply(X1,f(X1)),g(X1)),g(X1)),h(X1)),apply(apply(apply(apply(apply(apply(q,q),apply(w,apply(q,apply(q,b)))),f(X1)),g(X1)),g(X1)),h(X1))) = false ),
% 0.75/1.15 inference(orient,[status(thm)],['0.326.1.0',theory(equality)]),
% 0.75/1.15 [x,rule_323]).
% 0.75/1.15 cnf('0.327.0.0',plain,
% 0.75/1.15 ( false = true ),
% 0.75/1.15 inference(cp,[status(thm)],['0.326.2.0','0.4.2.0',theory(equality)]),
% 0.75/1.15 [pos('L','L')]).
% 0.75/1.15 cnf('0.327.1.0',plain,
% 0.75/1.15 ( false = true ),
% 0.75/1.15 inference(weigh,[status(thm)],['0.327.0.0']),
% 0.75/1.15 [weight('<5,326,4,[1,0,0,0]>')]).
% 0.75/1.15 cnf('0.327.2.0',plain,
% 0.75/1.15 ( true = false ),
% 0.75/1.15 inference(orient,[status(thm)],['0.327.1.0',theory(equality)]),
% 0.75/1.15 [x,rule_324]).
% 0.75/1.15 cnf('1.0.0.0',conjecture,
% 0.75/1.15 ( true = false ),
% 0.75/1.15 file('/tmp/WALDMEISTER_22926_n021',conjecture_1)).
% 0.75/1.15 cnf('1.0.0.1',plain,
% 0.75/1.15 ( false = false ),
% 0.75/1.15 inference(reduction,[status(thm)],['1.0.0.0','0.327.2.0',theory(equality)]),
% 0.75/1.15 [pos('L','L')]).
% 0.75/1.15 cnf('1.0.0.2',plain,
% 0.75/1.15 ( $true ),
% 0.75/1.15 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.75/1.15 [conjecture_1]).
% 0.75/1.15
% 0.75/1.15 Proved Goals:
% 0.75/1.15 No. 1: true ?= false, current false ?= false
% 0.75/1.15 using narrowing to prove apply(apply(apply(apply(x1,f(x1)),g(x1)),g(x1)),h(x1)) ?= apply(apply(f(x1),g(x1)),apply(apply(f(x1),g(x1)),h(x1)))
% 0.75/1.15
% 0.75/1.15 1 goal was specified, which was proved.
% 0.75/1.15 % SZS output end CNFRefutation
% 0.75/1.15 #END OF PROOF
% 0.75/1.15
% 0.75/1.15 Problem WALDMEISTER_22926_n021
% 0.75/1.15 CPs.gen 1423
% 0.75/1.15 CPs.reexp 0
% 0.75/1.15 Select 371
% 0.75/1.15 R 324
% 0.75/1.15 E 3
% 0.75/1.15 vsize 6.6M
% 0.75/1.15 rss 3.9M
% 0.75/1.15 process.time 0.062s
% 0.75/1.15 wallclock.time 0.157s
% 0.75/1.15 status S
% 0.75/1.15
% 0.75/1.15
% 0.75/1.15 Waldmeister states: Goal proved.
% 0.75/1.15 % SZS status Unsatisfiable
% 0.75/1.15
% 0.75/1.15 Problem WALDMEISTER_22926_n021
% 0.75/1.15 CPs.gen 1152
% 0.75/1.15 CPs.reexp 0
% 0.75/1.15 Select 499
% 0.75/1.15 R 29
% 0.75/1.15 E 17
% 0.75/1.15 vsize 6.6M
% 0.75/1.15 rss 3.7M
% 0.75/1.15 process.time 0.096s
% 0.75/1.15 wallclock.time 0.158s
% 0.75/1.15 status S
%------------------------------------------------------------------------------