%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : COL039-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n023.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 00:47:32 EDT 2022
% Result : Unsatisfiable 0.62s 1.04s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL039-1 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n023.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 12:15:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.62/1.03 ********************************************************************************
% 0.62/1.03 * W A L D M E I S T E R \| \ / \|/ *
% 0.62/1.03 * |/ | \/ | *
% 0.62/1.03 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.62/1.03 * A. Jaeger and B. Loechner | | *
% 0.62/1.03 * <waldmeister@informatik.uni-kl.de> | *
% 0.62/1.03 ********************************************************************************
% 0.62/1.03
% 0.62/1.03
% 0.62/1.03 Goals:
% 0.62/1.03 ------
% 0.62/1.03
% 0.62/1.03 ( 1) true ?= false
% 0.62/1.03 using narrowing to prove x1 ?= apply(const1,x1)
% 0.62/1.03
% 0.62/1.03 Detected structure: KombinatorlogikB
% 0.62/1.03 ********************************************************************************
% 0.62/1.03 ****************************** COMPLETION - PROOF ******************************
% 0.62/1.03 ********************************************************************************
% 0.62/1.03
% 0.62/1.04 joined goal: 1 apply(x1,f(x1)) ?= apply(f(x1),apply(x1,f(x1))) to false
% 0.62/1.04 goal joined
% 0.62/1.04 % SZS status Unsatisfiable
% 0.62/1.04 #START OF PROOF
% 0.62/1.04 % SZS output start CNFRefutation
% 0.62/1.04 cnf('0.1.0.0',axiom,
% 0.62/1.04 ( apply(X1,X1) = apply(m,X1) ),
% 0.62/1.04 file('/tmp/WALDMEISTER_31426_n023')).
% 0.62/1.04 cnf('0.1.1.0',plain,
% 0.62/1.04 ( apply(X1,X1) = apply(m,X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.62/1.04 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.1.2.0',plain,
% 0.62/1.04 ( apply(X1,X1) = apply(m,X1) ),
% 0.62/1.04 inference(activate,[status(thm)],['0.1.1.0']),
% 0.62/1.04 [equation_1]).
% 0.62/1.04 cnf('0.2.0.0',axiom,
% 0.62/1.04 ( apply(X1,apply(X2,X3)) = apply(apply(apply(b,X1),X2),X3) ),
% 0.62/1.04 file('/tmp/WALDMEISTER_31426_n023')).
% 0.62/1.04 cnf('0.2.1.0',plain,
% 0.62/1.04 ( apply(X1,apply(X2,X3)) = apply(apply(apply(b,X1),X2),X3) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.62/1.04 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.62/1.04 cnf('0.2.2.0',plain,
% 0.62/1.04 ( apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_1]).
% 0.62/1.04 cnf('0.3.0.0',axiom,
% 0.62/1.04 ( apply(X1,apply(X2,X1)) = apply(apply(o,X2),X1) ),
% 0.62/1.04 file('/tmp/WALDMEISTER_31426_n023')).
% 0.62/1.04 cnf('0.3.1.0',plain,
% 0.62/1.04 ( apply(X1,apply(X2,X1)) = apply(apply(o,X2),X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.62/1.04 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.62/1.04 cnf('0.3.2.0',plain,
% 0.62/1.04 ( apply(X1,apply(X2,X1)) = apply(apply(o,X2),X1) ),
% 0.62/1.04 inference(activate,[status(thm)],['0.3.1.0']),
% 0.62/1.04 [equation_2]).
% 0.62/1.04 cnf('0.4.0.0',axiom,
% 0.62/1.04 ( eq(X1,X1) = true ),
% 0.62/1.04 file('/tmp/WALDMEISTER_31426_n023')).
% 0.62/1.04 cnf('0.4.1.0',plain,
% 0.62/1.04 ( eq(X1,X1) = true ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.62/1.04 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.62/1.04 cnf('0.4.2.0',plain,
% 0.62/1.04 ( eq(X1,X1) = true ),
% 0.62/1.04 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_2]).
% 0.62/1.04 cnf('0.5.0.0',axiom,
% 0.62/1.04 ( eq(apply(X1,f(X1)),apply(f(X1),apply(X1,f(X1)))) = false ),
% 0.62/1.04 file('/tmp/WALDMEISTER_31426_n023')).
% 0.62/1.04 cnf('0.5.1.0',plain,
% 0.62/1.04 ( eq(apply(X1,f(X1)),apply(f(X1),apply(X1,f(X1)))) = false ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.62/1.04 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.62/1.04 cnf('0.5.1.1',plain,
% 0.62/1.04 ( eq(apply(X1,f(X1)),apply(apply(o,X1),f(X1))) = false ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.5.1.0','0.3.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.5.2.0',plain,
% 0.62/1.04 ( eq(apply(X1,f(X1)),apply(apply(o,X1),f(X1))) = false ),
% 0.62/1.04 inference(orient,[status(thm)],['0.5.1.1',theory(equality)]),
% 0.62/1.04 [u,rule_3]).
% 0.62/1.04 cnf('0.22.0.0',plain,
% 0.62/1.04 ( apply(X1,apply(X2,apply(apply(b,X1),X2))) = apply(m,apply(apply(b,X1),X2)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.2.2.0','0.1.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.22.1.0',plain,
% 0.62/1.04 ( apply(X1,apply(X2,apply(apply(b,X1),X2))) = apply(m,apply(apply(b,X1),X2)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.62/1.04 [weight('<16,2,1,[1,0,0,0]>')]).
% 0.62/1.04 cnf('0.22.2.0',plain,
% 0.62/1.04 ( apply(X1,apply(X2,apply(apply(b,X1),X2))) = apply(m,apply(apply(b,X1),X2)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_15]).
% 0.62/1.04 cnf('0.23.0.0',plain,
% 0.62/1.04 ( false = eq(apply(apply(X1,apply(apply(b,o),X1)),f(apply(X1,apply(apply(b,o),X1)))),apply(apply(m,apply(apply(b,o),X1)),f(apply(X1,apply(apply(b,o),X1))))) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.5.2.0','0.22.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2.1','L')]).
% 0.62/1.04 cnf('0.23.1.0',plain,
% 0.62/1.04 ( false = eq(apply(apply(X1,apply(apply(b,o),X1)),f(apply(X1,apply(apply(b,o),X1)))),apply(apply(m,apply(apply(b,o),X1)),f(apply(X1,apply(apply(b,o),X1))))) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.62/1.04 [weight('<0,22,5,[0,0,0,6]>')]).
% 0.62/1.04 cnf('0.23.2.0',plain,
% 0.62/1.04 ( eq(apply(apply(X1,apply(apply(b,o),X1)),f(apply(X1,apply(apply(b,o),X1)))),apply(apply(m,apply(apply(b,o),X1)),f(apply(X1,apply(apply(b,o),X1))))) = false ),
% 0.62/1.04 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_16]).
% 0.62/1.04 cnf('0.24.0.0',plain,
% 0.62/1.04 ( false = true ),
% 0.62/1.04 inference(cp,[status(thm)],['0.23.2.0','0.4.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.24.1.0',plain,
% 0.62/1.04 ( false = true ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.62/1.04 [weight('<2,23,4,[1,0,0,0]>')]).
% 0.62/1.04 cnf('0.24.2.0',plain,
% 0.62/1.04 ( true = false ),
% 0.62/1.04 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_17]).
% 0.62/1.04 cnf('1.0.0.0',conjecture,
% 0.62/1.04 ( true = false ),
% 0.62/1.04 file('/tmp/WALDMEISTER_31426_n023',conjecture_1)).
% 0.62/1.04 cnf('1.0.0.1',plain,
% 0.62/1.04 ( false = false ),
% 0.62/1.04 inference(reduction,[status(thm)],['1.0.0.0','0.24.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('1.0.0.2',plain,
% 0.62/1.04 ( $true ),
% 0.62/1.04 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.62/1.04 [conjecture_1]).
% 0.62/1.04
% 0.62/1.04 Proved Goals:
% 0.62/1.04 No. 1: true ?= false, current false ?= false
% 0.62/1.04 using narrowing to prove apply(x1,f(x1)) ?= apply(f(x1),apply(x1,f(x1)))
% 0.62/1.04
% 0.62/1.04 1 goal was specified, which was proved.
% 0.62/1.04 % SZS output end CNFRefutation
% 0.62/1.04 #END OF PROOF
% 0.62/1.04
% 0.62/1.04 Problem WALDMEISTER_31426_n023
% 0.62/1.04 CPs.gen 279
% 0.62/1.04 CPs.reexp 0
% 0.62/1.04 Select 48
% 0.62/1.04 R 17
% 0.62/1.04 E 7
% 0.62/1.04 vsize 6.5M
% 0.62/1.04 rss 3.7M
% 0.62/1.04 process.time 0.007s
% 0.62/1.04 wallclock.time 0.008s
% 0.62/1.04 status S
% 0.62/1.04
% 0.62/1.04
% 0.62/1.04 Waldmeister states: Goal proved.
% 0.62/1.04 % SZS status Unsatisfiable
% 0.62/1.04
% 0.62/1.04 Problem WALDMEISTER_31426_n023
% 0.62/1.04 CPs.gen 0
% 0.62/1.04 CPs.reexp 0
% 0.62/1.04 Select 0
% 0.62/1.04 R 0
% 0.62/1.04 E 0
% 0.62/1.04 vsize 6.0M
% 0.62/1.04 rss 3.2M
% 0.62/1.04 process.time 0.001s
% 0.62/1.04 wallclock.time 0.007s
% 0.62/1.04 status S
%------------------------------------------------------------------------------