TSTP Solution File: SYN083-1 by Waldmeister---710
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : SYN083-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n018.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 : Thu Jul 21 13:29:47 EDT 2022
% Result : Unsatisfiable 0.59s 0.96s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN083-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 14:14:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.59/0.96 ********************************************************************************
% 0.59/0.96 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/0.96 * |/ | \/ | *
% 0.59/0.96 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/0.96 * A. Jaeger and B. Loechner | | *
% 0.59/0.96 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/0.96 ********************************************************************************
% 0.59/0.96
% 0.59/0.96
% 0.59/0.96 Goals:
% 0.59/0.96 ------
% 0.59/0.96
% 0.59/0.96 ( 1) f(f(f(a,b),c),d) ?=? f(a,f(b,f(c,d)))
% 0.59/0.96
% 0.59/0.96 Detected structure: Orkus
% 0.59/0.96 ********************************************************************************
% 0.59/0.96 ****************************** COMPLETION - PROOF ******************************
% 0.59/0.96 ********************************************************************************
% 0.59/0.96
% 0.59/0.96 joined goal: 1 f(f(f(a,b),c),d) ?= f(a,f(b,f(c,d))) to f(a,f(b,f(c,d)))
% 0.59/0.96 goal joined
% 0.59/0.96 % SZS status Unsatisfiable
% 0.59/0.96 #START OF PROOF
% 0.59/0.96 % SZS output start CNFRefutation
% 0.59/0.96 cnf('0.1.0.0',axiom,
% 0.59/0.96 ( f(X1,f(X2,X3)) = f(f(X1,X2),X3) ),
% 0.59/0.96 file('/tmp/WALDMEISTER_12666_n018')).
% 0.59/0.96 cnf('0.1.1.0',plain,
% 0.59/0.96 ( f(X1,f(X2,X3)) = f(f(X1,X2),X3) ),
% 0.59/0.96 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.59/0.96 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.59/0.96 cnf('0.1.2.0',plain,
% 0.59/0.96 ( f(f(X1,X2),X3) = f(X1,f(X2,X3)) ),
% 0.59/0.96 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.59/0.96 [x,rule_1]).
% 0.59/0.96 cnf('1.0.0.0',conjecture,
% 0.59/0.96 ( f(f(f(a,b),c),d) = f(a,f(b,f(c,d))) ),
% 0.59/0.96 file('/tmp/WALDMEISTER_12666_n018',conjecture_1)).
% 0.59/0.96 cnf('1.0.0.1',plain,
% 0.59/0.96 ( f(f(a,f(b,c)),d) = f(a,f(b,f(c,d))) ),
% 0.59/0.96 inference(reduction,[status(thm)],['1.0.0.0','0.1.2.0',theory(equality)]),
% 0.59/0.96 [pos('L.1','L')]).
% 0.59/0.96 cnf('1.0.0.2',plain,
% 0.59/0.96 ( f(a,f(f(b,c),d)) = f(a,f(b,f(c,d))) ),
% 0.59/0.96 inference(reduction,[status(thm)],['1.0.0.1','0.1.2.0',theory(equality)]),
% 0.59/0.96 [pos('L','L')]).
% 0.59/0.96 cnf('1.0.0.3',plain,
% 0.59/0.96 ( f(a,f(b,f(c,d))) = f(a,f(b,f(c,d))) ),
% 0.59/0.96 inference(reduction,[status(thm)],['1.0.0.2','0.1.2.0',theory(equality)]),
% 0.59/0.96 [pos('L.2','L')]).
% 0.59/0.96 cnf('1.0.0.4',plain,
% 0.59/0.96 ( $true ),
% 0.59/0.96 inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 0.59/0.96 [conjecture_1]).
% 0.59/0.96
% 0.59/0.96 Proved Goals:
% 0.59/0.96 No. 1: f(f(f(a,b),c),d) ?= f(a,f(b,f(c,d))) joined, current: f(a,f(b,f(c,d))) = f(a,f(b,f(c,d)))
% 0.59/0.96 1 goal was specified, which was proved.
% 0.59/0.96 % SZS output end CNFRefutation
% 0.59/0.96 #END OF PROOF
% 0.59/0.96
% 0.59/0.96 Problem WALDMEISTER_12666_n018
% 0.59/0.96 CPs.gen 0
% 0.59/0.96 CPs.reexp 0
% 0.59/0.96 Select 1
% 0.59/0.96 R 1
% 0.59/0.96 E 0
% 0.59/0.96 vsize 6.4M
% 0.59/0.96 rss 3.5M
% 0.59/0.96 process.time 0.001s
% 0.59/0.96 wallclock.time 0.001s
% 0.59/0.96 status S
% 0.59/0.96
% 0.59/0.96
% 0.59/0.96 Waldmeister states: Goal proved.
% 0.59/0.96 % SZS status Unsatisfiable
%------------------------------------------------------------------------------