TSTP Solution File: LAT011-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT011-1 : TPTP v8.1.0. Released v2.2.0.
% 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 : Sun Jul 17 07:14:41 EDT 2022
% Result : Unsatisfiable 0.95s 1.32s
% Output : CNFRefutation 0.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LAT011-1 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n005.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 Jun 28 23:07:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.59/0.98 ********************************************************************************
% 0.59/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/0.98 * |/ | \/ | *
% 0.59/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/0.98 * A. Jaeger and B. Loechner | | *
% 0.59/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/0.98 ********************************************************************************
% 0.59/0.98
% 0.59/0.98
% 0.59/0.98 Goals:
% 0.59/0.98 ------
% 0.59/0.98
% 0.59/0.98 ( 1) meet(a,b) ?=? meet2(a,b)
% 0.59/0.98
% 0.59/0.98 Detected structure: Verband
% 0.59/0.98 ********************************************************************************
% 0.59/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.59/0.98 ********************************************************************************
% 0.59/0.98
% 0.95/1.32 joined goal: 1 meet(a,b) ?= meet2(a,b) to meet2(b,a)
% 0.95/1.32 goal joined
% 0.95/1.32 % SZS status Unsatisfiable
% 0.95/1.32 #START OF PROOF
% 0.95/1.32 % SZS output start CNFRefutation
% 0.95/1.32 cnf('0.2.0.0',axiom,
% 0.95/1.32 ( X1 = join(X1,meet(X1,X2)) ),
% 0.95/1.32 file('/tmp/WALDMEISTER_23896_n005')).
% 0.95/1.32 cnf('0.2.1.0',plain,
% 0.95/1.32 ( X1 = join(X1,meet(X1,X2)) ),
% 0.95/1.32 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.95/1.32 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.95/1.32 cnf('0.2.2.0',plain,
% 0.95/1.32 ( join(X1,meet(X1,X2)) = X1 ),
% 0.95/1.32 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.95/1.32 [x,rule_2]).
% 0.95/1.32 cnf('0.3.0.0',axiom,
% 0.95/1.32 ( X1 = join(X1,meet2(X1,X2)) ),
% 0.95/1.32 file('/tmp/WALDMEISTER_23896_n005')).
% 0.95/1.32 cnf('0.3.1.0',plain,
% 0.95/1.32 ( X1 = join(X1,meet2(X1,X2)) ),
% 0.95/1.32 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.95/1.32 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.95/1.32 cnf('0.3.2.0',plain,
% 0.95/1.32 ( join(X1,meet2(X1,X2)) = X1 ),
% 0.95/1.32 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.95/1.32 [x,rule_3]).
% 0.95/1.32 cnf('0.5.0.0',axiom,
% 0.95/1.32 ( X1 = meet(X1,join(X1,X2)) ),
% 0.95/1.32 file('/tmp/WALDMEISTER_23896_n005')).
% 0.95/1.32 cnf('0.5.1.0',plain,
% 0.95/1.32 ( X1 = meet(X1,join(X1,X2)) ),
% 0.95/1.32 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.95/1.32 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.95/1.32 cnf('0.5.2.0',plain,
% 0.95/1.32 ( meet(X1,join(X1,X2)) = X1 ),
% 0.95/1.32 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.95/1.32 [x,rule_5]).
% 0.95/1.32 cnf('0.7.0.0',axiom,
% 0.95/1.32 ( X1 = meet2(X1,join(X1,X2)) ),
% 0.95/1.32 file('/tmp/WALDMEISTER_23896_n005')).
% 0.95/1.32 cnf('0.7.1.0',plain,
% 0.95/1.32 ( X1 = meet2(X1,join(X1,X2)) ),
% 0.95/1.32 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.95/1.32 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.95/1.32 cnf('0.7.2.0',plain,
% 0.95/1.32 ( meet2(X1,join(X1,X2)) = X1 ),
% 0.95/1.32 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.95/1.32 [x,rule_7]).
% 0.95/1.32 cnf('0.8.0.0',axiom,
% 0.95/1.32 ( join(X1,X2) = join(X2,X1) ),
% 0.95/1.32 file('/tmp/WALDMEISTER_23896_n005')).
% 0.95/1.32 cnf('0.8.1.0',plain,
% 0.95/1.32 ( join(X1,X2) = join(X2,X1) ),
% 0.95/1.32 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.95/1.32 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.95/1.32 cnf('0.8.2.0',plain,
% 0.95/1.32 ( join(X1,X2) = join(X2,X1) ),
% 0.95/1.32 inference(activate,[status(thm)],['0.8.1.0']),
% 0.95/1.32 [equation_1]).
% 0.95/1.32 cnf('0.10.0.0',axiom,
% 0.95/1.32 ( meet(X1,X2) = meet(X2,X1) ),
% 0.95/1.32 file('/tmp/WALDMEISTER_23896_n005')).
% 0.95/1.32 cnf('0.10.1.0',plain,
% 0.95/1.32 ( meet(X1,X2) = meet(X2,X1) ),
% 0.95/1.32 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.95/1.32 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.95/1.32 cnf('0.10.2.0',plain,
% 0.95/1.32 ( meet(X1,X2) = meet(X2,X1) ),
% 0.95/1.32 inference(activate,[status(thm)],['0.10.1.0']),
% 0.95/1.32 [equation_2]).
% 0.95/1.32 cnf('0.11.0.0',axiom,
% 0.95/1.32 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 0.95/1.32 file('/tmp/WALDMEISTER_23896_n005')).
% 0.95/1.32 cnf('0.11.1.0',plain,
% 0.95/1.32 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 0.95/1.32 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.95/1.32 [weight('<10,0,0,[0,0,0,11]>')]).
% 0.95/1.32 cnf('0.11.2.0',plain,
% 0.95/1.32 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 0.95/1.32 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.95/1.32 [x,rule_9]).
% 0.95/1.32 cnf('0.12.0.0',axiom,
% 0.95/1.32 ( meet2(X1,X2) = meet2(X2,X1) ),
% 0.95/1.32 file('/tmp/WALDMEISTER_23896_n005')).
% 0.95/1.32 cnf('0.12.1.0',plain,
% 0.95/1.32 ( meet2(X1,X2) = meet2(X2,X1) ),
% 0.95/1.32 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.95/1.32 [weight('<11,0,0,[0,0,0,12]>')]).
% 0.95/1.32 cnf('0.12.2.0',plain,
% 0.95/1.32 ( meet2(X1,X2) = meet2(X2,X1) ),
% 0.95/1.32 inference(activate,[status(thm)],['0.12.1.0']),
% 0.95/1.32 [equation_3]).
% 0.95/1.32 cnf('0.13.0.0',axiom,
% 0.95/1.32 ( meet2(X1,meet2(X2,X3)) = meet2(meet2(X1,X2),X3) ),
% 0.95/1.32 file('/tmp/WALDMEISTER_23896_n005')).
% 0.95/1.32 cnf('0.13.1.0',plain,
% 0.95/1.32 ( meet2(X1,meet2(X2,X3)) = meet2(meet2(X1,X2),X3) ),
% 0.95/1.32 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.95/1.32 [weight('<12,0,0,[0,0,0,13]>')]).
% 0.95/1.32 cnf('0.13.2.0',plain,
% 0.95/1.32 ( meet2(meet2(X1,X2),X3) = meet2(X1,meet2(X2,X3)) ),
% 0.95/1.32 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.95/1.32 [x,rule_10]).
% 0.95/1.32 cnf('0.14.0.0',plain,
% 0.95/1.32 ( X1 = meet(X1,join(X2,X1)) ),
% 0.95/1.32 inference(cp,[status(thm)],['0.5.2.0','0.8.2.0',theory(equality)]),
% 0.95/1.32 [pos('L.2','L')]).
% 0.95/1.32 cnf('0.14.1.0',plain,
% 0.95/1.32 ( X1 = meet(X1,join(X2,X1)) ),
% 0.95/1.32 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.95/1.32 [weight('<5,8,5,[0,0,0,2]>')]).
% 0.95/1.32 cnf('0.14.2.0',plain,
% 0.95/1.32 ( meet(X1,join(X2,X1)) = X1 ),
% 0.95/1.32 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.95/1.32 [x,rule_11]).
% 0.95/1.32 cnf('0.15.0.0',plain,
% 0.95/1.32 ( X1 = meet2(X1,join(X2,X1)) ),
% 0.95/1.32 inference(cp,[status(thm)],['0.7.2.0','0.8.2.0',theory(equality)]),
% 0.95/1.32 [pos('L.2','L')]).
% 0.95/1.32 cnf('0.15.1.0',plain,
% 0.95/1.32 ( X1 = meet2(X1,join(X2,X1)) ),
% 0.95/1.32 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.95/1.32 [weight('<5,8,7,[0,0,0,2]>')]).
% 0.95/1.32 cnf('0.15.2.0',plain,
% 0.95/1.32 ( meet2(X1,join(X2,X1)) = X1 ),
% 0.95/1.32 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.95/1.32 [x,rule_12]).
% 0.95/1.32 cnf('0.17.0.0',plain,
% 0.95/1.32 ( X1 = join(X1,meet(X2,X1)) ),
% 0.95/1.32 inference(cp,[status(thm)],['0.2.2.0','0.10.2.0',theory(equality)]),
% 0.95/1.32 [pos('L.2','L')]).
% 0.95/1.32 cnf('0.17.1.0',plain,
% 0.95/1.32 ( X1 = join(X1,meet(X2,X1)) ),
% 0.95/1.32 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.95/1.32 [weight('<5,10,2,[0,0,0,2]>')]).
% 0.95/1.32 cnf('0.17.2.0',plain,
% 0.95/1.32 ( join(X1,meet(X2,X1)) = X1 ),
% 0.95/1.32 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.95/1.32 [x,rule_14]).
% 0.95/1.32 cnf('0.19.0.0',plain,
% 0.95/1.32 ( X1 = join(X1,meet2(X2,X1)) ),
% 0.95/1.32 inference(cp,[status(thm)],['0.3.2.0','0.12.2.0',theory(equality)]),
% 0.95/1.32 [pos('L.2','L')]).
% 0.95/1.32 cnf('0.19.1.0',plain,
% 0.95/1.32 ( X1 = join(X1,meet2(X2,X1)) ),
% 0.95/1.32 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.95/1.32 [weight('<5,12,3,[0,0,0,2]>')]).
% 0.95/1.32 cnf('0.19.2.0',plain,
% 0.95/1.32 ( join(X1,meet2(X2,X1)) = X1 ),
% 0.95/1.32 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.95/1.32 [x,rule_16]).
% 0.95/1.32 cnf('0.22.0.0',plain,
% 0.95/1.32 ( meet2(X1,X2) = meet(meet2(X1,X2),X1) ),
% 0.95/1.32 inference(cp,[status(thm)],['0.14.2.0','0.3.2.0',theory(equality)]),
% 0.95/1.32 [pos('L.2','L')]).
% 0.95/1.32 cnf('0.22.1.0',plain,
% 0.95/1.32 ( meet2(X1,X2) = meet(meet2(X1,X2),X1) ),
% 0.95/1.32 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.95/1.32 [weight('<5,14,3,[1,0,0,2]>')]).
% 0.95/1.32 cnf('0.22.1.1',plain,
% 0.95/1.32 ( meet2(X1,X2) = meet(X1,meet2(X1,X2)) ),
% 0.95/1.32 inference(reduction,[status(thm)],['0.22.1.0','0.10.2.0',theory(equality)]),
% 0.95/1.32 [pos('R','L')]).
% 0.95/1.32 cnf('0.22.2.0',plain,
% 0.95/1.32 ( meet(X1,meet2(X1,X2)) = meet2(X1,X2) ),
% 0.95/1.32 inference(orient,[status(thm)],['0.22.1.1',theory(equality)]),
% 0.95/1.32 [x,rule_19]).
% 0.95/1.32 cnf('0.23.0.0',plain,
% 0.95/1.32 ( meet(X1,X2) = meet2(meet(X1,X2),X1) ),
% 0.95/1.32 inference(cp,[status(thm)],['0.15.2.0','0.2.2.0',theory(equality)]),
% 0.95/1.32 [pos('L.2','L')]).
% 0.95/1.32 cnf('0.23.1.0',plain,
% 0.95/1.32 ( meet(X1,X2) = meet2(meet(X1,X2),X1) ),
% 0.95/1.32 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.95/1.32 [weight('<5,15,2,[1,0,0,2]>')]).
% 0.95/1.32 cnf('0.23.1.1',plain,
% 0.95/1.32 ( meet(X1,X2) = meet2(X1,meet(X1,X2)) ),
% 0.95/1.32 inference(reduction,[status(thm)],['0.23.1.0','0.12.2.0',theory(equality)]),
% 0.95/1.32 [pos('R','L')]).
% 0.95/1.32 cnf('0.23.2.0',plain,
% 0.95/1.32 ( meet2(X1,meet(X1,X2)) = meet(X1,X2) ),
% 0.95/1.32 inference(orient,[status(thm)],['0.23.1.1',theory(equality)]),
% 0.95/1.32 [x,rule_20]).
% 0.95/1.32 cnf('0.26.0.0',plain,
% 0.95/1.32 ( meet(X1,X2) = meet2(meet(X1,X2),X2) ),
% 0.95/1.32 inference(cp,[status(thm)],['0.15.2.0','0.17.2.0',theory(equality)]),
% 0.95/1.32 [pos('L.2','L')]).
% 0.95/1.32 cnf('0.26.1.0',plain,
% 0.95/1.32 ( meet(X1,X2) = meet2(meet(X1,X2),X2) ),
% 0.95/1.32 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.95/1.32 [weight('<5,17,15,[0,0,0,2]>')]).
% 0.95/1.32 cnf('0.26.1.1',plain,
% 0.95/1.32 ( meet(X1,X2) = meet2(X2,meet(X1,X2)) ),
% 0.95/1.32 inference(reduction,[status(thm)],['0.26.1.0','0.12.2.0',theory(equality)]),
% 0.95/1.32 [pos('R','L')]).
% 0.95/1.32 cnf('0.26.2.0',plain,
% 0.95/1.32 ( meet2(X1,meet(X2,X1)) = meet(X2,X1) ),
% 0.95/1.32 inference(orient,[status(thm)],['0.26.1.1',theory(equality)]),
% 0.95/1.32 [x,rule_23]).
% 0.95/1.32 cnf('0.27.0.0',plain,
% 0.95/1.32 ( meet2(X1,X2) = meet(meet2(X1,X2),X2) ),
% 0.95/1.32 inference(cp,[status(thm)],['0.14.2.0','0.19.2.0',theory(equality)]),
% 0.95/1.32 [pos('L.2','L')]).
% 0.95/1.32 cnf('0.27.1.0',plain,
% 0.95/1.32 ( meet2(X1,X2) = meet(meet2(X1,X2),X2) ),
% 0.95/1.32 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.95/1.32 [weight('<5,19,14,[0,0,0,2]>')]).
% 0.95/1.32 cnf('0.27.1.1',plain,
% 0.95/1.32 ( meet2(X1,X2) = meet(X2,meet2(X1,X2)) ),
% 0.95/1.32 inference(reduction,[status(thm)],['0.27.1.0','0.10.2.0',theory(equality)]),
% 0.95/1.32 [pos('R','L')]).
% 0.95/1.32 cnf('0.27.2.0',plain,
% 0.95/1.32 ( meet(X1,meet2(X2,X1)) = meet2(X2,X1) ),
% 0.95/1.32 inference(orient,[status(thm)],['0.27.1.1',theory(equality)]),
% 0.95/1.32 [x,rule_24]).
% 0.95/1.32 cnf('0.53.0.0',plain,
% 0.95/1.32 ( meet2(X1,meet2(meet(X2,X1),X3)) = meet2(meet(X2,X1),X3) ),
% 0.95/1.32 inference(cp,[status(thm)],['0.13.2.0','0.26.2.0',theory(equality)]),
% 0.95/1.32 [pos('L.1','L')]).
% 0.95/1.32 cnf('0.53.1.0',plain,
% 0.95/1.32 ( meet2(X1,meet2(meet(X2,X1),X3)) = meet2(meet(X2,X1),X3) ),
% 0.95/1.32 inference(weigh,[status(thm)],['0.53.0.0']),
% 0.95/1.32 [weight('<7,26,13,[0,0,0,1]>')]).
% 0.95/1.32 cnf('0.53.2.0',plain,
% 0.95/1.32 ( meet2(X1,meet2(meet(X2,X1),X3)) = meet2(meet(X2,X1),X3) ),
% 0.95/1.32 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 0.95/1.32 [u,rule_50]).
% 0.95/1.32 cnf('0.100.0.0',plain,
% 0.95/1.32 ( meet2(meet(X1,X2),X3) = meet2(X2,meet2(X3,meet(X1,X2))) ),
% 0.95/1.32 inference(cp,[status(thm)],['0.53.2.0','0.12.2.0',theory(equality)]),
% 0.95/1.32 [pos('L.2','L')]).
% 0.95/1.32 cnf('0.100.1.0',plain,
% 0.95/1.32 ( meet2(meet(X1,X2),X3) = meet2(X2,meet2(X3,meet(X1,X2))) ),
% 0.95/1.32 inference(weigh,[status(thm)],['0.100.0.0']),
% 0.95/1.32 [weight('<7,53,12,[1,0,0,2]>')]).
% 0.95/1.32 cnf('0.100.2.0',plain,
% 0.95/1.32 ( meet2(X1,meet2(X2,meet(X3,X1))) = meet2(meet(X3,X1),X2) ),
% 0.95/1.32 inference(orient,[status(thm)],['0.100.1.0',theory(equality)]),
% 0.95/1.32 [x,rule_95]).
% 0.95/1.32 cnf('0.123.0.0',plain,
% 0.95/1.32 ( meet(X1,X2) = join(meet(X1,X2),meet(X1,meet(X2,X3))) ),
% 0.95/1.32 inference(cp,[status(thm)],['0.2.2.0','0.11.2.0',theory(equality)]),
% 0.95/1.32 [pos('L.2','L')]).
% 0.95/1.32 cnf('0.123.1.0',plain,
% 0.95/1.32 ( meet(X1,X2) = join(meet(X1,X2),meet(X1,meet(X2,X3))) ),
% 0.95/1.32 inference(weigh,[status(thm)],['0.123.0.0']),
% 0.95/1.32 [weight('<9,11,2,[0,0,0,2]>')]).
% 0.95/1.32 cnf('0.123.2.0',plain,
% 0.95/1.32 ( join(meet(X1,X2),meet(X1,meet(X2,X3))) = meet(X1,X2) ),
% 0.95/1.32 inference(orient,[status(thm)],['0.123.1.0',theory(equality)]),
% 0.95/1.32 [x,rule_117]).
% 0.95/1.32 cnf('0.492.0.0',plain,
% 0.95/1.32 ( meet(X1,X2) = join(meet(X1,X2),meet(X1,meet2(X2,X3))) ),
% 0.95/1.32 inference(cp,[status(thm)],['0.123.2.0','0.22.2.0',theory(equality)]),
% 0.95/1.32 [pos('L.2.2','L')]).
% 0.95/1.32 cnf('0.492.1.0',plain,
% 0.95/1.32 ( meet(X1,X2) = join(meet(X1,X2),meet(X1,meet2(X2,X3))) ),
% 0.95/1.32 inference(weigh,[status(thm)],['0.492.0.0']),
% 0.95/1.32 [weight('<9,123,22,[1,0,0,6]>')]).
% 0.95/1.32 cnf('0.492.2.0',plain,
% 0.95/1.32 ( join(meet(X1,X2),meet(X1,meet2(X2,X3))) = meet(X1,X2) ),
% 0.95/1.32 inference(orient,[status(thm)],['0.492.1.0',theory(equality)]),
% 0.95/1.32 [x,rule_484]).
% 0.95/1.32 cnf('0.493.0.0',plain,
% 0.95/1.32 ( meet(X1,X2) = join(meet(X1,X2),meet2(X2,X1)) ),
% 0.95/1.32 inference(cp,[status(thm)],['0.492.2.0','0.27.2.0',theory(equality)]),
% 0.95/1.32 [pos('L.2','L')]).
% 0.95/1.32 cnf('0.493.1.0',plain,
% 0.95/1.32 ( meet(X1,X2) = join(meet(X1,X2),meet2(X2,X1)) ),
% 0.95/1.32 inference(weigh,[status(thm)],['0.493.0.0']),
% 0.95/1.32 [weight('<7,492,27,[1,0,0,4]>')]).
% 0.95/1.32 cnf('0.493.1.1',plain,
% 0.95/1.32 ( meet(X1,X2) = join(meet2(X2,X1),meet(X1,X2)) ),
% 0.95/1.32 inference(reduction,[status(thm)],['0.493.1.0','0.8.2.0',theory(equality)]),
% 0.95/1.32 [pos('R','L')]).
% 0.95/1.32 cnf('0.493.2.0',plain,
% 0.95/1.32 ( join(meet2(X1,X2),meet(X2,X1)) = meet(X2,X1) ),
% 0.95/1.32 inference(orient,[status(thm)],['0.493.1.1',theory(equality)]),
% 0.95/1.32 [x,rule_485]).
% 0.95/1.32 cnf('0.494.0.0',plain,
% 0.95/1.32 ( meet2(X1,X2) = meet2(meet2(X1,X2),meet(X2,X1)) ),
% 0.95/1.32 inference(cp,[status(thm)],['0.7.2.0','0.493.2.0',theory(equality)]),
% 0.95/1.32 [pos('L.2','L')]).
% 0.95/1.32 cnf('0.494.0.1',plain,
% 0.95/1.32 ( meet2(X1,X2) = meet2(X1,meet2(X2,meet(X2,X1))) ),
% 0.95/1.32 inference(reduction,[status(thm)],['0.494.0.0','0.13.2.0',theory(equality)]),
% 0.95/1.32 [pos('R','L')]).
% 0.95/1.32 cnf('0.494.0.2',plain,
% 0.95/1.32 ( meet2(X1,X2) = meet2(meet(X2,X1),X2) ),
% 0.95/1.32 inference(reduction,[status(thm)],['0.494.0.1','0.100.2.0',theory(equality)]),
% 0.95/1.32 [pos('R','L')]).
% 0.95/1.32 cnf('0.494.1.0',plain,
% 0.95/1.32 ( meet2(X1,X2) = meet2(meet(X2,X1),X2) ),
% 0.95/1.32 inference(weigh,[status(thm)],['0.494.0.2']),
% 0.95/1.32 [weight('<5,493,7,[0,0,0,2]>')]).
% 0.95/1.32 cnf('0.494.1.1',plain,
% 0.95/1.32 ( meet2(X1,X2) = meet2(X2,meet(X2,X1)) ),
% 0.95/1.32 inference(reduction,[status(thm)],['0.494.1.0','0.12.2.0',theory(equality)]),
% 0.95/1.32 [pos('R','L')]).
% 0.95/1.32 cnf('0.494.1.2',plain,
% 0.95/1.32 ( meet2(X1,X2) = meet(X2,X1) ),
% 0.95/1.32 inference(reduction,[status(thm)],['0.494.1.1','0.23.2.0',theory(equality)]),
% 0.95/1.32 [pos('R','L')]).
% 0.95/1.32 cnf('0.494.2.0',plain,
% 0.95/1.32 ( meet(X1,X2) = meet2(X2,X1) ),
% 0.95/1.32 inference(orient,[status(thm)],['0.494.1.2',theory(equality)]),
% 0.95/1.32 [x,rule_486]).
% 0.95/1.32 cnf('1.0.0.0',conjecture,
% 0.95/1.32 ( meet(a,b) = meet2(a,b) ),
% 0.95/1.32 file('/tmp/WALDMEISTER_23896_n005',conjecture_1)).
% 0.95/1.32 cnf('1.0.0.1',plain,
% 0.95/1.32 ( meet2(b,a) = meet2(a,b) ),
% 0.95/1.32 inference(reduction,[status(thm)],['1.0.0.0','0.494.2.0',theory(equality)]),
% 0.95/1.32 [pos('L','L')]).
% 0.95/1.32 cnf('1.0.0.2',plain,
% 0.95/1.32 ( meet2(b,a) = meet2(b,a) ),
% 0.95/1.32 inference(reduction,[status(thm)],['1.0.0.1','0.12.2.0',theory(equality)]),
% 0.95/1.32 [pos('R','L')]).
% 0.95/1.32 cnf('1.0.0.3',plain,
% 0.95/1.32 ( $true ),
% 0.95/1.32 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.95/1.32 [conjecture_1]).
% 0.95/1.32
% 0.95/1.32 Proved Goals:
% 0.95/1.32 No. 1: meet(a,b) ?= meet2(a,b) joined, current: meet2(b,a) = meet2(b,a)
% 0.95/1.32 1 goal was specified, which was proved.
% 0.95/1.32 % SZS output end CNFRefutation
% 0.95/1.32 #END OF PROOF
% 0.95/1.32
% 0.95/1.32 Problem WALDMEISTER_23896_n005
% 0.95/1.32 CPs.gen 124080
% 0.95/1.32 CPs.reexp 0
% 0.95/1.32 Select 5048
% 0.95/1.32 R 486
% 0.95/1.32 E 8
% 0.95/1.32 vsize 6.5M
% 0.95/1.32 rss 4.0M
% 0.95/1.32 process.time 0.345s
% 0.95/1.32 wallclock.time 0.345s
% 0.95/1.32 status S
% 0.95/1.32
% 0.95/1.32
% 0.95/1.32 Waldmeister states: Goal proved.
% 0.95/1.32 % SZS status Unsatisfiable
%------------------------------------------------------------------------------