TSTP Solution File: LAT019-1 by Waldmeister---710
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT019-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n013.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 07:14:45 EDT 2022
% Result : Unsatisfiable 0.63s 1.00s
% Output : CNFRefutation 0.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LAT019-1 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n013.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 : Thu Jun 30 10:23:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.61/0.99 ********************************************************************************
% 0.61/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.61/0.99 * |/ | \/ | *
% 0.61/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.61/0.99 * A. Jaeger and B. Loechner | | *
% 0.61/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.61/0.99 ********************************************************************************
% 0.61/0.99
% 0.61/0.99
% 0.61/0.99 Goals:
% 0.61/0.99 ------
% 0.61/0.99
% 0.61/0.99 ( 1) meet(join(a,b),join(a,c)) ?=? join(a,meet(b,c))
% 0.61/0.99
% 0.61/0.99 Detected structure: Verband
% 0.61/0.99 ********************************************************************************
% 0.61/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.61/0.99 ********************************************************************************
% 0.61/0.99
% 0.63/1.00 joined goal: 1 meet(join(a,b),join(a,c)) ?= join(a,meet(b,c)) to join(a,meet(c,b))
% 0.63/1.00 goal joined
% 0.63/1.00 % SZS status Unsatisfiable
% 0.63/1.00 #START OF PROOF
% 0.63/1.00 % SZS output start CNFRefutation
% 0.63/1.00 cnf('0.1.0.0',axiom,
% 0.63/1.00 ( X1 = meet(X1,X1) ),
% 0.63/1.00 file('/tmp/WALDMEISTER_29466_n013')).
% 0.63/1.00 cnf('0.1.1.0',plain,
% 0.63/1.00 ( X1 = meet(X1,X1) ),
% 0.63/1.00 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.63/1.00 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.63/1.00 cnf('0.1.2.0',plain,
% 0.63/1.00 ( meet(X1,X1) = X1 ),
% 0.63/1.00 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.63/1.00 [x,rule_1]).
% 0.63/1.00 cnf('0.2.0.0',axiom,
% 0.63/1.00 ( X1 = join(X1,X1) ),
% 0.63/1.00 file('/tmp/WALDMEISTER_29466_n013')).
% 0.63/1.00 cnf('0.2.1.0',plain,
% 0.63/1.00 ( X1 = join(X1,X1) ),
% 0.63/1.00 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.63/1.00 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.63/1.00 cnf('0.2.2.0',plain,
% 0.63/1.00 ( join(X1,X1) = X1 ),
% 0.63/1.00 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.63/1.00 [x,rule_2]).
% 0.63/1.00 cnf('0.3.0.0',axiom,
% 0.63/1.00 ( meet(X1,X2) = meet(X2,X1) ),
% 0.63/1.00 file('/tmp/WALDMEISTER_29466_n013')).
% 0.63/1.00 cnf('0.3.1.0',plain,
% 0.63/1.00 ( meet(X1,X2) = meet(X2,X1) ),
% 0.63/1.00 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.63/1.00 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.63/1.00 cnf('0.3.2.0',plain,
% 0.63/1.00 ( meet(X1,X2) = meet(X2,X1) ),
% 0.63/1.00 inference(activate,[status(thm)],['0.3.1.0']),
% 0.63/1.00 [equation_1]).
% 0.63/1.00 cnf('0.4.0.0',axiom,
% 0.63/1.00 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 0.63/1.00 file('/tmp/WALDMEISTER_29466_n013')).
% 0.63/1.00 cnf('0.4.1.0',plain,
% 0.63/1.00 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 0.63/1.00 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.63/1.00 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.63/1.00 cnf('0.4.2.0',plain,
% 0.63/1.00 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 0.63/1.00 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.63/1.00 [x,rule_3]).
% 0.63/1.00 cnf('0.5.0.0',axiom,
% 0.63/1.00 ( meet(X1,join(X2,X3)) = join(meet(X1,X2),meet(X1,X3)) ),
% 0.63/1.00 file('/tmp/WALDMEISTER_29466_n013')).
% 0.63/1.00 cnf('0.5.1.0',plain,
% 0.63/1.00 ( meet(X1,join(X2,X3)) = join(meet(X1,X2),meet(X1,X3)) ),
% 0.63/1.00 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.63/1.00 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.63/1.00 cnf('0.5.2.0',plain,
% 0.63/1.00 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(X2,X3)) ),
% 0.63/1.00 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.63/1.00 [x,rule_4]).
% 0.63/1.00 cnf('0.7.0.0',axiom,
% 0.63/1.00 ( meet(join(X1,meet(X2,X3)),join(X1,X2)) = join(X1,meet(X2,X3)) ),
% 0.63/1.00 file('/tmp/WALDMEISTER_29466_n013')).
% 0.63/1.00 cnf('0.7.1.0',plain,
% 0.63/1.00 ( meet(join(X1,meet(X2,X3)),join(X1,X2)) = join(X1,meet(X2,X3)) ),
% 0.63/1.00 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.63/1.00 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.63/1.00 cnf('0.7.1.1',plain,
% 0.63/1.00 ( meet(join(X1,X2),join(X1,meet(X2,X3))) = join(X1,meet(X2,X3)) ),
% 0.63/1.00 inference(reduction,[status(thm)],['0.7.1.0','0.3.2.0',theory(equality)]),
% 0.63/1.00 [pos('L','L')]).
% 0.63/1.00 cnf('0.7.2.0',plain,
% 0.63/1.00 ( meet(join(X1,X2),join(X1,meet(X2,X3))) = join(X1,meet(X2,X3)) ),
% 0.63/1.00 inference(orient,[status(thm)],['0.7.1.1',theory(equality)]),
% 0.63/1.00 [u,rule_6]).
% 0.63/1.00 cnf('0.8.0.0',axiom,
% 0.63/1.00 ( join(X1,X2) = join(X2,X1) ),
% 0.63/1.00 file('/tmp/WALDMEISTER_29466_n013')).
% 0.63/1.00 cnf('0.8.1.0',plain,
% 0.63/1.00 ( join(X1,X2) = join(X2,X1) ),
% 0.63/1.00 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.63/1.00 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.63/1.00 cnf('0.8.2.0',plain,
% 0.63/1.00 ( join(X1,X2) = join(X2,X1) ),
% 0.63/1.00 inference(activate,[status(thm)],['0.8.1.0']),
% 0.63/1.00 [equation_2]).
% 0.63/1.00 cnf('0.9.0.0',axiom,
% 0.63/1.00 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 0.63/1.00 file('/tmp/WALDMEISTER_29466_n013')).
% 0.63/1.00 cnf('0.9.1.0',plain,
% 0.63/1.00 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 0.63/1.00 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.63/1.00 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.63/1.00 cnf('0.9.2.0',plain,
% 0.63/1.00 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 0.63/1.00 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.63/1.00 [x,rule_7]).
% 0.63/1.00 cnf('0.10.0.0',plain,
% 0.63/1.00 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 0.63/1.00 inference(cp,[status(thm)],['0.4.2.0','0.1.2.0',theory(equality)]),
% 0.63/1.00 [pos('L.1','L')]).
% 0.63/1.00 cnf('0.10.1.0',plain,
% 0.63/1.00 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 0.63/1.00 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.63/1.00 [weight('<5,4,1,[1,0,0,1]>')]).
% 0.63/1.00 cnf('0.10.2.0',plain,
% 0.63/1.00 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 0.63/1.00 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.63/1.00 [u,rule_8]).
% 0.63/1.00 cnf('0.13.0.0',plain,
% 0.63/1.00 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 0.63/1.00 inference(cp,[status(thm)],['0.9.2.0','0.2.2.0',theory(equality)]),
% 0.63/1.00 [pos('L.1','L')]).
% 0.63/1.00 cnf('0.13.1.0',plain,
% 0.63/1.00 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 0.63/1.00 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.63/1.00 [weight('<5,9,2,[1,0,0,1]>')]).
% 0.63/1.00 cnf('0.13.2.0',plain,
% 0.63/1.00 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 0.63/1.00 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.63/1.00 [u,rule_11]).
% 0.63/1.00 cnf('0.14.0.0',plain,
% 0.63/1.00 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 0.63/1.00 inference(cp,[status(thm)],['0.10.2.0','0.3.2.0',theory(equality)]),
% 0.63/1.00 [pos('L.2','L')]).
% 0.63/1.00 cnf('0.14.1.0',plain,
% 0.63/1.00 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 0.63/1.00 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.63/1.00 [weight('<5,10,3,[1,0,0,2]>')]).
% 0.63/1.00 cnf('0.14.2.0',plain,
% 0.63/1.00 ( meet(X1,meet(X2,X1)) = meet(X1,X2) ),
% 0.63/1.00 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.63/1.00 [x,rule_12]).
% 0.63/1.00 cnf('0.19.0.0',plain,
% 0.63/1.00 ( meet(X1,join(X2,meet(X1,X3))) = join(meet(X1,X2),meet(X1,X3)) ),
% 0.63/1.00 inference(cp,[status(thm)],['0.5.2.0','0.10.2.0',theory(equality)]),
% 0.63/1.00 [pos('L.2','L')]).
% 0.63/1.00 cnf('0.19.0.1',plain,
% 0.63/1.00 ( meet(X1,join(X2,meet(X1,X3))) = meet(X1,join(X2,X3)) ),
% 0.63/1.00 inference(reduction,[status(thm)],['0.19.0.0','0.5.2.0',theory(equality)]),
% 0.63/1.00 [pos('R','L')]).
% 0.63/1.00 cnf('0.19.1.0',plain,
% 0.63/1.00 ( meet(X1,join(X2,meet(X1,X3))) = meet(X1,join(X2,X3)) ),
% 0.63/1.00 inference(weigh,[status(thm)],['0.19.0.1']),
% 0.63/1.00 [weight('<7,10,5,[0,0,0,4]>')]).
% 0.63/1.00 cnf('0.19.2.0',plain,
% 0.63/1.00 ( meet(X1,join(X2,meet(X1,X3))) = meet(X1,join(X2,X3)) ),
% 0.63/1.00 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.63/1.00 [u,rule_17]).
% 0.63/1.00 cnf('0.26.0.0',plain,
% 0.63/1.00 ( meet(X1,join(X2,meet(X3,X1))) = join(meet(X1,X2),meet(X1,X3)) ),
% 0.63/1.00 inference(cp,[status(thm)],['0.5.2.0','0.14.2.0',theory(equality)]),
% 0.63/1.00 [pos('L.2','L')]).
% 0.63/1.00 cnf('0.26.0.1',plain,
% 0.63/1.00 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,X3)) ),
% 0.63/1.00 inference(reduction,[status(thm)],['0.26.0.0','0.5.2.0',theory(equality)]),
% 0.63/1.00 [pos('R','L')]).
% 0.63/1.00 cnf('0.26.1.0',plain,
% 0.63/1.00 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,X3)) ),
% 0.63/1.00 inference(weigh,[status(thm)],['0.26.0.1']),
% 0.63/1.00 [weight('<7,14,5,[0,0,0,4]>')]).
% 0.63/1.00 cnf('0.26.2.0',plain,
% 0.63/1.00 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,X3)) ),
% 0.63/1.00 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.63/1.00 [u,rule_24]).
% 0.63/1.00 cnf('0.33.0.0',plain,
% 0.63/1.00 ( join(X1,meet(X2,X3)) = meet(join(X1,X2),join(X1,meet(X3,X2))) ),
% 0.63/1.00 inference(cp,[status(thm)],['0.7.2.0','0.3.2.0',theory(equality)]),
% 0.63/1.00 [pos('L.2.2','L')]).
% 0.63/1.00 cnf('0.33.1.0',plain,
% 0.63/1.00 ( join(X1,meet(X2,X3)) = meet(join(X1,X2),join(X1,meet(X3,X2))) ),
% 0.63/1.00 inference(weigh,[status(thm)],['0.33.0.0']),
% 0.63/1.00 [weight('<9,7,3,[1,0,0,6]>')]).
% 0.63/1.00 cnf('0.33.2.0',plain,
% 0.63/1.00 ( meet(join(X1,X2),join(X1,meet(X3,X2))) = join(X1,meet(X2,X3)) ),
% 0.63/1.00 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.63/1.00 [x,rule_31]).
% 0.63/1.00 cnf('0.34.0.0',plain,
% 0.63/1.00 ( join(X1,meet(join(X1,X2),X3)) = meet(join(X1,X2),join(X1,meet(X3,join(X1,X2)))) ),
% 0.63/1.00 inference(cp,[status(thm)],['0.33.2.0','0.13.2.0',theory(equality)]),
% 0.63/1.00 [pos('L.1','L')]).
% 0.63/1.00 cnf('0.34.0.1',plain,
% 0.63/1.00 ( join(X1,meet(join(X1,X2),X3)) = meet(join(X1,X2),join(X1,X3)) ),
% 0.63/1.00 inference(reduction,[status(thm)],['0.34.0.0','0.26.2.0',theory(equality)]),
% 0.63/1.00 [pos('R','L')]).
% 0.63/1.00 cnf('0.34.1.0',plain,
% 0.63/1.00 ( join(X1,meet(join(X1,X2),X3)) = meet(join(X1,X2),join(X1,X3)) ),
% 0.63/1.00 inference(weigh,[status(thm)],['0.34.0.1']),
% 0.63/1.00 [weight('<7,33,13,[1,0,0,1]>')]).
% 0.63/1.00 cnf('0.34.2.0',plain,
% 0.63/1.00 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X2),X3)) ),
% 0.63/1.00 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.63/1.00 [x,rule_32]).
% 0.63/1.00 cnf('0.35.0.0',plain,
% 0.63/1.00 ( join(X1,meet(join(X1,X2),X3)) = meet(join(X2,X1),join(X1,X3)) ),
% 0.63/1.00 inference(cp,[status(thm)],['0.34.2.0','0.8.2.0',theory(equality)]),
% 0.63/1.00 [pos('L.1','L')]).
% 0.63/1.00 cnf('0.35.1.0',plain,
% 0.63/1.00 ( join(X1,meet(join(X1,X2),X3)) = meet(join(X2,X1),join(X1,X3)) ),
% 0.63/1.00 inference(weigh,[status(thm)],['0.35.0.0']),
% 0.63/1.00 [weight('<7,34,8,[1,0,0,1]>')]).
% 0.63/1.00 cnf('0.35.2.0',plain,
% 0.63/1.00 ( meet(join(X1,X2),join(X2,X3)) = join(X2,meet(join(X2,X1),X3)) ),
% 0.63/1.00 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.63/1.00 [x,rule_33]).
% 0.63/1.00 cnf('0.36.0.0',plain,
% 0.63/1.00 ( join(X1,meet(join(X1,X2),X3)) = meet(join(X1,X2),join(X3,X1)) ),
% 0.63/1.00 inference(cp,[status(thm)],['0.34.2.0','0.8.2.0',theory(equality)]),
% 0.63/1.00 [pos('L.2','L')]).
% 0.63/1.00 cnf('0.36.1.0',plain,
% 0.63/1.00 ( join(X1,meet(join(X1,X2),X3)) = meet(join(X1,X2),join(X3,X1)) ),
% 0.63/1.00 inference(weigh,[status(thm)],['0.36.0.0']),
% 0.63/1.00 [weight('<7,34,8,[1,0,0,4]>')]).
% 0.63/1.00 cnf('0.36.2.0',plain,
% 0.63/1.00 ( meet(join(X1,X2),join(X3,X1)) = join(X1,meet(join(X1,X2),X3)) ),
% 0.63/1.00 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.63/1.00 [x,rule_34]).
% 0.63/1.00 cnf('0.37.0.0',plain,
% 0.63/1.00 ( join(X1,meet(join(X1,X2),X3)) = meet(join(X1,X3),join(X2,X1)) ),
% 0.63/1.00 inference(cp,[status(thm)],['0.35.2.0','0.3.2.0',theory(equality)]),
% 0.63/1.00 [pos('L','L')]).
% 0.63/1.00 cnf('0.37.1.0',plain,
% 0.63/1.00 ( join(X1,meet(join(X1,X2),X3)) = meet(join(X1,X3),join(X2,X1)) ),
% 0.63/1.00 inference(weigh,[status(thm)],['0.37.0.0']),
% 0.63/1.00 [weight('<7,35,3,[1,0,0,0]>')]).
% 0.63/1.00 cnf('0.37.1.1',plain,
% 0.63/1.00 ( join(X1,meet(join(X1,X2),X3)) = join(X1,meet(join(X1,X3),X2)) ),
% 0.63/1.00 inference(reduction,[status(thm)],['0.37.1.0','0.36.2.0',theory(equality)]),
% 0.63/1.00 [pos('R','L')]).
% 0.63/1.00 cnf('0.37.2.0',plain,
% 0.63/1.00 ( join(X1,meet(join(X1,X2),X3)) = join(X1,meet(join(X1,X3),X2)) ),
% 0.63/1.00 inference(activate,[status(thm)],['0.37.1.1']),
% 0.63/1.00 [equation_3]).
% 0.63/1.00 cnf('0.39.0.0',plain,
% 0.63/1.00 ( join(X1,meet(join(X1,X2),X3)) = join(X1,meet(X2,join(X1,X3))) ),
% 0.63/1.00 inference(cp,[status(thm)],['0.37.2.0','0.3.2.0',theory(equality)]),
% 0.63/1.00 [pos('L.2','L')]).
% 0.63/1.00 cnf('0.39.1.0',plain,
% 0.63/1.00 ( join(X1,meet(join(X1,X2),X3)) = join(X1,meet(X2,join(X1,X3))) ),
% 0.63/1.00 inference(weigh,[status(thm)],['0.39.0.0']),
% 0.63/1.00 [weight('<7,37,3,[1,0,0,2]>')]).
% 0.63/1.00 cnf('0.39.2.0',plain,
% 0.63/1.00 ( join(X1,meet(join(X1,X2),X3)) = join(X1,meet(X2,join(X1,X3))) ),
% 0.63/1.00 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 0.63/1.00 [u,rule_36]).
% 0.63/1.00 cnf('0.40.0.0',plain,
% 0.63/1.00 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X2),X3)) ),
% 0.63/1.00 inference(interreduction_right,[status(thm)],['0.34.2.0'])).
% 0.63/1.00 cnf('0.40.0.1',plain,
% 0.63/1.00 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(X2,join(X1,X3))) ),
% 0.63/1.00 inference(reduction,[status(thm)],['0.40.0.0','0.39.2.0',theory(equality)]),
% 0.63/1.00 [pos('R','L')]).
% 0.63/1.00 cnf('0.40.1.0',plain,
% 0.63/1.00 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(X2,join(X1,X3))) ),
% 0.63/1.00 inference(weigh,[status(thm)],['0.40.0.1']),
% 0.63/1.00 [weight('<7,34,39,[0,0,0,0]>')]).
% 0.63/1.00 cnf('0.40.2.0',plain,
% 0.63/1.00 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(X2,join(X1,X3))) ),
% 0.63/1.00 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 0.63/1.00 [u,rule_37]).
% 0.63/1.00 cnf('0.46.0.0',plain,
% 0.63/1.00 ( meet(join(X1,X2),join(X1,meet(X2,X3))) = join(X1,meet(X2,X3)) ),
% 0.63/1.00 inference(interreduction_right,[status(thm)],['0.7.2.0'])).
% 0.63/1.00 cnf('0.46.0.1',plain,
% 0.63/1.00 ( join(X1,meet(join(X1,X2),meet(X2,X3))) = join(X1,meet(X2,X3)) ),
% 0.63/1.00 inference(reduction,[status(thm)],['0.46.0.0','0.34.2.0',theory(equality)]),
% 0.63/1.00 [pos('L','L')]).
% 0.63/1.00 cnf('0.46.1.0',plain,
% 0.63/1.00 ( join(X1,meet(join(X1,X2),meet(X2,X3))) = join(X1,meet(X2,X3)) ),
% 0.63/1.00 inference(weigh,[status(thm)],['0.46.0.1']),
% 0.63/1.00 [weight('<9,7,34,[0,0,0,0]>')]).
% 0.63/1.00 cnf('0.46.1.1',plain,
% 0.63/1.00 ( join(X1,meet(X2,join(X1,meet(X2,X3)))) = join(X1,meet(X2,X3)) ),
% 0.63/1.00 inference(reduction,[status(thm)],['0.46.1.0','0.39.2.0',theory(equality)]),
% 0.63/1.00 [pos('L','L')]).
% 0.63/1.00 cnf('0.46.1.2',plain,
% 0.63/1.00 ( join(X1,meet(X2,join(X1,X3))) = join(X1,meet(X2,X3)) ),
% 0.63/1.00 inference(reduction,[status(thm)],['0.46.1.1','0.19.2.0',theory(equality)]),
% 0.63/1.00 [pos('L.2','L')]).
% 0.63/1.00 cnf('0.46.2.0',plain,
% 0.63/1.00 ( join(X1,meet(X2,join(X1,X3))) = join(X1,meet(X2,X3)) ),
% 0.63/1.00 inference(orient,[status(thm)],['0.46.1.2',theory(equality)]),
% 0.63/1.00 [u,rule_42]).
% 0.63/1.00 cnf('1.0.0.0',conjecture,
% 0.63/1.00 ( meet(join(a,b),join(a,c)) = join(a,meet(b,c)) ),
% 0.63/1.00 file('/tmp/WALDMEISTER_29466_n013',conjecture_1)).
% 0.63/1.00 cnf('1.0.0.1',plain,
% 0.63/1.00 ( join(a,meet(b,join(a,c))) = join(a,meet(b,c)) ),
% 0.63/1.00 inference(reduction,[status(thm)],['1.0.0.0','0.40.2.0',theory(equality)]),
% 0.63/1.00 [pos('L','L')]).
% 0.63/1.00 cnf('1.0.0.2',plain,
% 0.63/1.00 ( join(a,meet(b,c)) = join(a,meet(b,c)) ),
% 0.63/1.00 inference(reduction,[status(thm)],['1.0.0.1','0.46.2.0',theory(equality)]),
% 0.63/1.00 [pos('L','L')]).
% 0.63/1.00 cnf('1.0.0.3',plain,
% 0.63/1.00 ( join(a,meet(c,b)) = join(a,meet(b,c)) ),
% 0.63/1.00 inference(reduction,[status(thm)],['1.0.0.2','0.3.2.0',theory(equality)]),
% 0.63/1.00 [pos('L.2','L')]).
% 0.63/1.00 cnf('1.0.0.4',plain,
% 0.63/1.00 ( join(a,meet(c,b)) = join(a,meet(c,b)) ),
% 0.63/1.00 inference(reduction,[status(thm)],['1.0.0.3','0.3.2.0',theory(equality)]),
% 0.63/1.00 [pos('R.2','L')]).
% 0.63/1.00 cnf('1.0.0.5',plain,
% 0.63/1.00 ( $true ),
% 0.63/1.00 inference(trivial,[status(thm)],['1.0.0.4',theory(equality)]),
% 0.63/1.00 [conjecture_1]).
% 0.63/1.00
% 0.63/1.00 Proved Goals:
% 0.63/1.00 No. 1: meet(join(a,b),join(a,c)) ?= join(a,meet(b,c)) joined, current: join(a,meet(c,b)) = join(a,meet(c,b))
% 0.63/1.00 1 goal was specified, which was proved.
% 0.63/1.00 % SZS output end CNFRefutation
% 0.63/1.00 #END OF PROOF
% 0.63/1.00
% 0.63/1.00 Problem WALDMEISTER_29466_n013
% 0.63/1.00 CPs.gen 1494
% 0.63/1.00 CPs.reexp 0
% 0.63/1.00 Select 106
% 0.63/1.00 R 42
% 0.63/1.00 E 4
% 0.63/1.00 vsize 6.5M
% 0.63/1.00 rss 3.8M
% 0.63/1.00 process.time 0.011s
% 0.63/1.00 wallclock.time 0.011s
% 0.63/1.00 status S
% 0.63/1.00
% 0.63/1.00
% 0.63/1.00 Waldmeister states: Goal proved.
% 0.63/1.00 % SZS status Unsatisfiable
%------------------------------------------------------------------------------