TSTP Solution File: GRP001-2 by Waldmeister---710
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP001-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n005.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 : Sat Jul 16 12:23:58 EDT 2022
% Result : Unsatisfiable 0.59s 0.99s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP001-2 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : woody %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 18:36:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.59/0.99 ********************************************************************************
% 0.59/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/0.99 * |/ | \/ | *
% 0.59/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/0.99 * A. Jaeger and B. Loechner | | *
% 0.59/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/0.99 ********************************************************************************
% 0.59/0.99
% 0.59/0.99
% 0.59/0.99 Goals:
% 0.59/0.99 ------
% 0.59/0.99
% 0.59/0.99 ( 1) multiply(b,a) ?=? c
% 0.59/0.99
% 0.59/0.99 Detected structure: Gruppe
% 0.59/0.99 ********************************************************************************
% 0.59/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.59/0.99 ********************************************************************************
% 0.59/0.99
% 0.59/0.99 joined goal: 1 multiply(b,a) ?= c to c
% 0.59/0.99 goal joined
% 0.59/0.99 % SZS status Unsatisfiable
% 0.59/0.99 #START OF PROOF
% 0.59/0.99 % SZS output start CNFRefutation
% 0.59/0.99 cnf('0.1.0.0',axiom,
% 0.59/0.99 ( X1 = multiply(X1,identity) ),
% 0.59/0.99 file('/tmp/WALDMEISTER_16747_n005')).
% 0.59/0.99 cnf('0.1.1.0',plain,
% 0.59/0.99 ( X1 = multiply(X1,identity) ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.59/0.99 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.59/0.99 cnf('0.1.2.0',plain,
% 0.59/0.99 ( multiply(X1,identity) = X1 ),
% 0.59/0.99 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.59/0.99 [x,rule_1]).
% 0.59/0.99 cnf('0.2.0.0',axiom,
% 0.59/0.99 ( X1 = multiply(identity,X1) ),
% 0.59/0.99 file('/tmp/WALDMEISTER_16747_n005')).
% 0.59/0.99 cnf('0.2.1.0',plain,
% 0.59/0.99 ( X1 = multiply(identity,X1) ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.59/0.99 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.59/0.99 cnf('0.2.2.0',plain,
% 0.59/0.99 ( multiply(identity,X1) = X1 ),
% 0.59/0.99 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.59/0.99 [x,rule_2]).
% 0.59/0.99 cnf('0.3.0.0',axiom,
% 0.59/0.99 ( multiply(X1,X1) = identity ),
% 0.59/0.99 file('/tmp/WALDMEISTER_16747_n005')).
% 0.59/0.99 cnf('0.3.1.0',plain,
% 0.59/0.99 ( multiply(X1,X1) = identity ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.59/0.99 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.59/0.99 cnf('0.3.2.0',plain,
% 0.59/0.99 ( multiply(X1,X1) = identity ),
% 0.59/0.99 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.59/0.99 [u,rule_3]).
% 0.59/0.99 cnf('0.4.0.0',axiom,
% 0.59/0.99 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.59/0.99 file('/tmp/WALDMEISTER_16747_n005')).
% 0.59/0.99 cnf('0.4.1.0',plain,
% 0.59/0.99 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.59/0.99 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.59/0.99 cnf('0.4.2.0',plain,
% 0.59/0.99 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.59/1.00 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_4]).
% 0.59/1.00 cnf('0.7.0.0',axiom,
% 0.59/1.00 ( multiply(a,b) = c ),
% 0.59/1.00 file('/tmp/WALDMEISTER_16747_n005')).
% 0.59/1.00 cnf('0.7.1.0',plain,
% 0.59/1.00 ( multiply(a,b) = c ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.59/1.00 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.59/1.00 cnf('0.7.2.0',plain,
% 0.59/1.00 ( multiply(a,b) = c ),
% 0.59/1.00 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_7]).
% 0.59/1.00 cnf('0.9.0.0',plain,
% 0.59/1.00 ( multiply(X1,multiply(X1,X2)) = multiply(identity,X2) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.4.2.0','0.3.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.9.0.1',plain,
% 0.59/1.00 ( multiply(X1,multiply(X1,X2)) = X2 ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.9.0.0','0.2.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.9.1.0',plain,
% 0.59/1.00 ( multiply(X1,multiply(X1,X2)) = X2 ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.9.0.1']),
% 0.59/1.00 [weight('<5,4,3,[1,0,0,1]>')]).
% 0.59/1.00 cnf('0.9.2.0',plain,
% 0.59/1.00 ( multiply(X1,multiply(X1,X2)) = X2 ),
% 0.59/1.00 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_9]).
% 0.59/1.00 cnf('0.11.0.0',plain,
% 0.59/1.00 ( b = multiply(a,c) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.9.2.0','0.7.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.11.1.0',plain,
% 0.59/1.00 ( b = multiply(a,c) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.59/1.00 [weight('<3,9,7,[1,0,0,2]>')]).
% 0.59/1.00 cnf('0.11.2.0',plain,
% 0.59/1.00 ( multiply(a,c) = b ),
% 0.59/1.00 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_11]).
% 0.59/1.00 cnf('0.12.0.0',plain,
% 0.59/1.00 ( multiply(a,multiply(b,X1)) = multiply(c,X1) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.4.2.0','0.7.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.12.1.0',plain,
% 0.59/1.00 ( multiply(a,multiply(b,X1)) = multiply(c,X1) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.59/1.00 [weight('<5,7,4,[0,0,0,1]>')]).
% 0.59/1.00 cnf('0.12.2.0',plain,
% 0.59/1.00 ( multiply(a,multiply(b,X1)) = multiply(c,X1) ),
% 0.59/1.00 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_12]).
% 0.59/1.00 cnf('0.13.0.0',plain,
% 0.59/1.00 ( multiply(c,b) = multiply(a,identity) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.12.2.0','0.3.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.13.0.1',plain,
% 0.59/1.00 ( multiply(c,b) = a ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.13.0.0','0.1.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.13.1.0',plain,
% 0.59/1.00 ( multiply(c,b) = a ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.13.0.1']),
% 0.59/1.00 [weight('<3,12,3,[1,0,0,2]>')]).
% 0.59/1.00 cnf('0.13.2.0',plain,
% 0.59/1.00 ( multiply(c,b) = a ),
% 0.59/1.00 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_13]).
% 0.59/1.00 cnf('0.14.0.0',plain,
% 0.59/1.00 ( b = multiply(c,a) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.9.2.0','0.13.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.14.1.0',plain,
% 0.59/1.00 ( b = multiply(c,a) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.59/1.00 [weight('<3,13,9,[0,0,0,2]>')]).
% 0.59/1.00 cnf('0.14.2.0',plain,
% 0.59/1.00 ( multiply(c,a) = b ),
% 0.59/1.00 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.59/1.00 [x,rule_14]).
% 0.59/1.00 cnf('0.15.0.0',plain,
% 0.59/1.00 ( multiply(a,multiply(c,X1)) = multiply(b,X1) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.4.2.0','0.11.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.1','L')]).
% 0.59/1.00 cnf('0.15.1.0',plain,
% 0.59/1.00 ( multiply(a,multiply(c,X1)) = multiply(b,X1) ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.59/1.00 [weight('<5,11,4,[0,0,0,1]>')]).
% 0.59/1.00 cnf('0.15.2.0',plain,
% 0.59/1.00 ( multiply(a,multiply(c,X1)) = multiply(b,X1) ),
% 0.59/1.00 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_15]).
% 0.59/1.00 cnf('0.17.0.0',plain,
% 0.59/1.00 ( multiply(b,a) = multiply(a,b) ),
% 0.59/1.00 inference(cp,[status(thm)],['0.15.2.0','0.14.2.0',theory(equality)]),
% 0.59/1.00 [pos('L.2','L')]).
% 0.59/1.00 cnf('0.17.0.1',plain,
% 0.59/1.00 ( multiply(b,a) = c ),
% 0.59/1.00 inference(reduction,[status(thm)],['0.17.0.0','0.7.2.0',theory(equality)]),
% 0.59/1.00 [pos('R','L')]).
% 0.59/1.00 cnf('0.17.1.0',plain,
% 0.59/1.00 ( multiply(b,a) = c ),
% 0.59/1.00 inference(weigh,[status(thm)],['0.17.0.1']),
% 0.59/1.00 [weight('<3,15,14,[1,0,0,2]>')]).
% 0.59/1.00 cnf('0.17.2.0',plain,
% 0.59/1.00 ( multiply(b,a) = c ),
% 0.59/1.00 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.59/1.00 [u,rule_17]).
% 0.59/1.00 cnf('1.0.0.0',conjecture,
% 0.59/1.00 ( multiply(b,a) = c ),
% 0.59/1.00 file('/tmp/WALDMEISTER_16747_n005',conjecture_1)).
% 0.59/1.00 cnf('1.0.0.1',plain,
% 0.59/1.00 ( c = c ),
% 0.59/1.00 inference(reduction,[status(thm)],['1.0.0.0','0.17.2.0',theory(equality)]),
% 0.59/1.00 [pos('L','L')]).
% 0.59/1.00 cnf('1.0.0.2',plain,
% 0.59/1.00 ( $true ),
% 0.59/1.00 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.59/1.00 [conjecture_1]).
% 0.59/1.00
% 0.59/1.00 Proved Goals:
% 0.59/1.00 No. 1: multiply(b,a) ?= c joined, current: c = c
% 0.59/1.00 1 goal was specified, which was proved.
% 0.59/1.00 % SZS output end CNFRefutation
% 0.59/1.00 #END OF PROOF
% 0.59/1.00
% 0.59/1.00 Problem WALDMEISTER_16747_n005
% 0.59/1.00 CPs.gen 49
% 0.59/1.00 CPs.reexp 0
% 0.59/1.00 Select 18
% 0.59/1.00 R 17
% 0.59/1.00 E 0
% 0.59/1.00 vsize 6.4M
% 0.59/1.00 rss 3.5M
% 0.59/1.00 process.time 0.002s
% 0.59/1.00 wallclock.time 0.002s
% 0.59/1.00 status S
% 0.59/1.00
% 0.59/1.00
% 0.59/1.00 Waldmeister states: Goal proved.
% 0.59/1.00 % SZS status Unsatisfiable
%------------------------------------------------------------------------------