%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : COL006-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : 600s
% DateTime : Fri Jul 15 00:47:28 EDT 2022
% Result : Unsatisfiable 0.70s 1.11s
% Output : CNFRefutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COL006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n029.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 12:58:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.56/0.96 ********************************************************************************
% 0.56/0.96 * W A L D M E I S T E R \| \ / \|/ *
% 0.56/0.96 * |/ | \/ | *
% 0.56/0.96 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.56/0.96 * A. Jaeger and B. Loechner | | *
% 0.56/0.96 * <waldmeister@informatik.uni-kl.de> | *
% 0.56/0.96 ********************************************************************************
% 0.56/0.96
% 0.56/0.96
% 0.56/0.96 Goals:
% 0.56/0.96 ------
% 0.56/0.96
% 0.56/0.96 ( 1) true ?= false
% 0.56/0.96 using narrowing to prove x1 ?= apply(const1,x1)
% 0.56/0.96
% 0.56/0.96 Detected structure: KombinatorlogikS
% 0.56/0.96 ********************************************************************************
% 0.56/0.96 ****************************** COMPLETION - PROOF ******************************
% 0.56/0.96 ********************************************************************************
% 0.56/0.96
% 0.70/1.11 joined goal: 1 apply(x1,f(x1)) ?= apply(f(x1),apply(x1,f(x1))) to false
% 0.70/1.11 goal joined
% 0.70/1.11 % SZS status Unsatisfiable
% 0.70/1.11 #START OF PROOF
% 0.70/1.11 % SZS output start CNFRefutation
% 0.70/1.11 cnf('0.1.0.0',axiom,
% 0.70/1.11 ( X1 = apply(apply(k,X1),X2) ),
% 0.70/1.11 file('/tmp/WALDMEISTER_19803_n029')).
% 0.70/1.11 cnf('0.1.1.0',plain,
% 0.70/1.11 ( X1 = apply(apply(k,X1),X2) ),
% 0.70/1.11 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.70/1.11 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.70/1.11 cnf('0.1.2.0',plain,
% 0.70/1.11 ( apply(apply(k,X1),X2) = X1 ),
% 0.70/1.11 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.70/1.11 [x,rule_1]).
% 0.70/1.11 cnf('0.2.0.0',axiom,
% 0.70/1.11 ( apply(apply(X1,X2),apply(X3,X2)) = apply(apply(apply(s,X1),X3),X2) ),
% 0.70/1.11 file('/tmp/WALDMEISTER_19803_n029')).
% 0.70/1.11 cnf('0.2.1.0',plain,
% 0.70/1.11 ( apply(apply(X1,X2),apply(X3,X2)) = apply(apply(apply(s,X1),X3),X2) ),
% 0.70/1.11 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.70/1.11 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.70/1.11 cnf('0.2.2.0',plain,
% 0.70/1.11 ( apply(apply(X1,X2),apply(X3,X2)) = apply(apply(apply(s,X1),X3),X2) ),
% 0.70/1.11 inference(activate,[status(thm)],['0.2.1.0']),
% 0.70/1.11 [equation_1]).
% 0.70/1.11 cnf('0.3.0.0',axiom,
% 0.70/1.11 ( eq(X1,X1) = true ),
% 0.70/1.11 file('/tmp/WALDMEISTER_19803_n029')).
% 0.70/1.11 cnf('0.3.1.0',plain,
% 0.70/1.11 ( eq(X1,X1) = true ),
% 0.70/1.11 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.70/1.11 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.70/1.11 cnf('0.3.2.0',plain,
% 0.70/1.11 ( eq(X1,X1) = true ),
% 0.70/1.11 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.70/1.11 [u,rule_2]).
% 0.70/1.11 cnf('0.4.0.0',axiom,
% 0.70/1.11 ( eq(apply(X1,f(X1)),apply(f(X1),apply(X1,f(X1)))) = false ),
% 0.70/1.11 file('/tmp/WALDMEISTER_19803_n029')).
% 0.70/1.11 cnf('0.4.1.0',plain,
% 0.70/1.11 ( eq(apply(X1,f(X1)),apply(f(X1),apply(X1,f(X1)))) = false ),
% 0.70/1.11 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.70/1.11 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.70/1.11 cnf('0.4.2.0',plain,
% 0.70/1.11 ( eq(apply(X1,f(X1)),apply(f(X1),apply(X1,f(X1)))) = false ),
% 0.70/1.11 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.70/1.11 [u,rule_3]).
% 0.70/1.11 cnf('0.6.0.0',plain,
% 0.70/1.11 ( apply(apply(apply(s,k),X1),X2) = X2 ),
% 0.70/1.11 inference(cp,[status(thm)],['0.2.2.0','0.1.2.0',theory(equality)]),
% 0.70/1.11 [pos('L','L')]).
% 0.70/1.11 cnf('0.6.1.0',plain,
% 0.70/1.11 ( apply(apply(apply(s,k),X1),X2) = X2 ),
% 0.70/1.11 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.70/1.11 [weight('<8,2,1,[1,0,0,0]>')]).
% 0.70/1.11 cnf('0.6.2.0',plain,
% 0.70/1.11 ( apply(apply(apply(s,k),X1),X2) = X2 ),
% 0.70/1.11 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.70/1.11 [u,rule_5]).
% 0.70/1.11 cnf('0.8.0.0',plain,
% 0.70/1.11 ( apply(apply(apply(s,apply(k,X1)),X2),X3) = apply(X1,apply(X2,X3)) ),
% 0.70/1.11 inference(cp,[status(thm)],['0.2.2.0','0.1.2.0',theory(equality)]),
% 0.70/1.11 [pos('L.1','L')]).
% 0.70/1.11 cnf('0.8.1.0',plain,
% 0.70/1.11 ( apply(apply(apply(s,apply(k,X1)),X2),X3) = apply(X1,apply(X2,X3)) ),
% 0.70/1.11 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.70/1.11 [weight('<14,2,1,[1,0,0,1]>')]).
% 0.70/1.11 cnf('0.8.2.0',plain,
% 0.70/1.11 ( apply(apply(apply(s,apply(k,X1)),X2),X3) = apply(X1,apply(X2,X3)) ),
% 0.70/1.11 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.70/1.11 [u,rule_7]).
% 0.70/1.11 cnf('0.12.0.0',plain,
% 0.70/1.11 ( apply(apply(apply(s,apply(apply(s,k),X1)),X2),X3) = apply(X3,apply(X2,X3)) ),
% 0.70/1.11 inference(cp,[status(thm)],['0.2.2.0','0.6.2.0',theory(equality)]),
% 0.70/1.11 [pos('L.1','L')]).
% 0.70/1.11 cnf('0.12.1.0',plain,
% 0.70/1.11 ( apply(apply(apply(s,apply(apply(s,k),X1)),X2),X3) = apply(X3,apply(X2,X3)) ),
% 0.70/1.11 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.70/1.11 [weight('<16,6,2,[0,0,0,1]>')]).
% 0.70/1.11 cnf('0.12.2.0',plain,
% 0.70/1.11 ( apply(apply(apply(s,apply(apply(s,k),X1)),X2),X3) = apply(X3,apply(X2,X3)) ),
% 0.70/1.11 inference(activate,[status(thm)],['0.12.1.0']),
% 0.70/1.11 [equation_3]).
% 0.70/1.11 cnf('0.12.2.2',plain,
% 0.70/1.11 ( apply(apply(apply(s,apply(apply(s,k),false)),X2),X1) = apply(X1,apply(X2,X1)) ),
% 0.70/1.11 inference(instl,[status(thm)],['0.12.2.0',theory(equality)])).
% 0.70/1.11 cnf('0.13.0.0',plain,
% 0.70/1.11 ( false = eq(apply(X1,f(X1)),apply(apply(apply(s,apply(apply(s,k),X2)),X1),f(X1))) ),
% 0.70/1.11 inference(cp,[status(thm)],['0.4.2.0','0.12.2.0',theory(equality)]),
% 0.70/1.11 [pos('L.2','R')]).
% 0.70/1.11 cnf('0.13.1.0',plain,
% 0.70/1.11 ( false = eq(apply(X1,f(X1)),apply(apply(apply(s,apply(apply(s,k),X2)),X1),f(X1))) ),
% 0.70/1.11 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.70/1.11 [weight('<160,12,4,[0,1,0,5]>')]).
% 0.70/1.11 cnf('0.13.2.0',plain,
% 0.70/1.11 ( eq(apply(X1,f(X1)),apply(apply(apply(s,apply(apply(s,k),X2)),X1),f(X1))) = false ),
% 0.70/1.11 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.70/1.11 [x,rule_10]).
% 0.70/1.11 cnf('0.18.0.0',plain,
% 0.70/1.11 ( apply(apply(apply(s,X1),apply(apply(s,k),X2)),X3) = apply(apply(X1,X3),X3) ),
% 0.70/1.11 inference(cp,[status(thm)],['0.2.2.0','0.6.2.0',theory(equality)]),
% 0.70/1.11 [pos('L.2','L')]).
% 0.70/1.11 cnf('0.18.1.0',plain,
% 0.70/1.11 ( apply(apply(apply(s,X1),apply(apply(s,k),X2)),X3) = apply(apply(X1,X3),X3) ),
% 0.70/1.11 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.70/1.11 [weight('<16,6,2,[0,0,0,4]>')]).
% 0.70/1.11 cnf('0.18.2.0',plain,
% 0.70/1.11 ( apply(apply(apply(s,X1),apply(apply(s,k),X2)),X3) = apply(apply(X1,X3),X3) ),
% 0.70/1.11 inference(activate,[status(thm)],['0.18.1.0']),
% 0.70/1.11 [equation_4]).
% 0.70/1.11 cnf('0.18.2.2',plain,
% 0.70/1.11 ( apply(apply(apply(s,X1),apply(apply(s,k),false)),X2) = apply(apply(X1,X2),X2) ),
% 0.70/1.11 inference(instl,[status(thm)],['0.18.2.0',theory(equality)])).
% 0.70/1.11 cnf('0.184.0.0',plain,
% 0.70/1.11 ( apply(apply(apply(s,apply(s,apply(k,X1))),apply(apply(s,k),X2)),X3) = apply(X1,apply(X3,X3)) ),
% 0.70/1.11 inference(cp,[status(thm)],['0.18.2.0','0.8.2.0',theory(equality)]),
% 0.70/1.11 [pos('R','L')]).
% 0.70/1.11 cnf('0.184.1.0',plain,
% 0.70/1.11 ( apply(apply(apply(s,apply(s,apply(k,X1))),apply(apply(s,k),X2)),X3) = apply(X1,apply(X3,X3)) ),
% 0.70/1.11 inference(weigh,[status(thm)],['0.184.0.0']),
% 0.70/1.11 [weight('<20,18,8,[1,1,0,0]>')]).
% 0.70/1.11 cnf('0.184.2.0',plain,
% 0.70/1.11 ( apply(apply(apply(s,apply(s,apply(k,X1))),apply(apply(s,k),X2)),X3) = apply(X1,apply(X3,X3)) ),
% 0.70/1.11 inference(activate,[status(thm)],['0.184.1.0']),
% 0.70/1.11 [equation_29]).
% 0.70/1.11 cnf('0.184.2.2',plain,
% 0.70/1.11 ( apply(apply(apply(s,apply(s,apply(k,X1))),apply(apply(s,k),false)),X2) = apply(X1,apply(X2,X2)) ),
% 0.70/1.11 inference(instl,[status(thm)],['0.184.2.0',theory(equality)])).
% 0.70/1.11 cnf('0.185.0.0',plain,
% 0.70/1.11 ( false = eq(apply(apply(X1,X1),f(apply(X1,X1))),apply(apply(apply(apply(s,apply(s,apply(k,apply(s,apply(apply(s,k),X2))))),apply(apply(s,k),X3)),X1),f(apply(X1,X1)))) ),
% 0.70/1.11 inference(cp,[status(thm)],['0.13.2.0','0.184.2.0',theory(equality)]),
% 0.70/1.11 [pos('L.2.1','R')]).
% 0.70/1.11 cnf('0.185.1.0',plain,
% 0.70/1.11 ( false = eq(apply(apply(X1,X1),f(apply(X1,X1))),apply(apply(apply(apply(s,apply(s,apply(k,apply(s,apply(apply(s,k),X2))))),apply(apply(s,k),X3)),X1),f(apply(X1,X1)))) ),
% 0.70/1.11 inference(weigh,[status(thm)],['0.185.0.0']),
% 0.70/1.11 [weight('<0,184,13,[0,1,0,6]>')]).
% 0.70/1.11 cnf('0.185.2.0',plain,
% 0.70/1.11 ( eq(apply(apply(X1,X1),f(apply(X1,X1))),apply(apply(apply(apply(s,apply(s,apply(k,apply(s,apply(apply(s,k),X2))))),apply(apply(s,k),X3)),X1),f(apply(X1,X1)))) = false ),
% 0.70/1.11 inference(orient,[status(thm)],['0.185.1.0',theory(equality)]),
% 0.70/1.11 [x,rule_156]).
% 0.70/1.11 cnf('0.186.0.0',plain,
% 0.70/1.11 ( false = true ),
% 0.70/1.11 inference(cp,[status(thm)],['0.185.2.0','0.3.2.0',theory(equality)]),
% 0.70/1.11 [pos('L','L')]).
% 0.70/1.11 cnf('0.186.1.0',plain,
% 0.70/1.11 ( false = true ),
% 0.70/1.11 inference(weigh,[status(thm)],['0.186.0.0']),
% 0.70/1.11 [weight('<2,185,3,[1,0,0,0]>')]).
% 0.70/1.11 cnf('0.186.2.0',plain,
% 0.70/1.11 ( true = false ),
% 0.70/1.11 inference(orient,[status(thm)],['0.186.1.0',theory(equality)]),
% 0.70/1.11 [x,rule_157]).
% 0.70/1.11 cnf('1.0.0.0',conjecture,
% 0.70/1.11 ( true = false ),
% 0.70/1.11 file('/tmp/WALDMEISTER_19803_n029',conjecture_1)).
% 0.70/1.11 cnf('1.0.0.1',plain,
% 0.70/1.11 ( false = false ),
% 0.70/1.11 inference(reduction,[status(thm)],['1.0.0.0','0.186.2.0',theory(equality)]),
% 0.70/1.11 [pos('L','L')]).
% 0.70/1.11 cnf('1.0.0.2',plain,
% 0.70/1.11 ( $true ),
% 0.70/1.11 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.70/1.11 [conjecture_1]).
% 0.70/1.11
% 0.70/1.11 Proved Goals:
% 0.70/1.11 No. 1: true ?= false, current false ?= false
% 0.70/1.11 using narrowing to prove apply(x1,f(x1)) ?= apply(f(x1),apply(x1,f(x1)))
% 0.70/1.11
% 0.70/1.11 1 goal was specified, which was proved.
% 0.70/1.11 % SZS output end CNFRefutation
% 0.70/1.11 #END OF PROOF
% 0.70/1.11
% 0.70/1.11 Problem WALDMEISTER_19803_n029
% 0.70/1.11 CPs.gen 9905
% 0.70/1.11 CPs.reexp 0
% 0.70/1.11 Select 329
% 0.70/1.11 R 157
% 0.70/1.11 E 29
% 0.70/1.11 vsize 6.6M
% 0.70/1.11 rss 3.9M
% 0.70/1.11 process.time 0.150s
% 0.70/1.11 wallclock.time 0.154s
% 0.70/1.11 status S
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 Waldmeister states: Goal proved.
% 0.70/1.11 % SZS status Unsatisfiable
% 0.70/1.11
% 0.70/1.11 Problem WALDMEISTER_19803_n029
% 0.70/1.11 CPs.gen 353
% 0.70/1.11 CPs.reexp 0
% 0.70/1.11 Select 30
% 0.70/1.11 R 27
% 0.70/1.11 E 2
% 0.70/1.11 vsize 6.4M
% 0.70/1.11 rss 3.7M
% 0.70/1.11 process.time 0.003s
% 0.70/1.11 wallclock.time 0.153s
% 0.70/1.11 status S
%------------------------------------------------------------------------------