TSTP Solution File: LAT241-10 by Waldmeister---710
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT241-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n009.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 07:15:51 EDT 2022
% Result : Unsatisfiable 0.74s 1.15s
% Output : CNFRefutation 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT241-10 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : woody %s
% 0.12/0.33 % Computer : n009.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 : Wed Jun 29 01:03:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.58/0.99 ********************************************************************************
% 0.58/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.99 * |/ | \/ | *
% 0.58/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.99 * A. Jaeger and B. Loechner | | *
% 0.58/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.99 ********************************************************************************
% 0.58/0.99
% 0.58/0.99
% 0.58/0.99 Goals:
% 0.58/0.99 ------
% 0.58/0.99
% 0.58/0.99 ( 1) join(complement(b),complement(a)) ?=? complement(a)
% 0.58/0.99
% 0.58/0.99 Detected structure: Verband
% 0.58/0.99 ********************************************************************************
% 0.58/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.99 ********************************************************************************
% 0.58/0.99
% 0.74/1.15 joined goal: 1 join(complement(b),complement(a)) ?= complement(a) to complement(a)
% 0.74/1.15 goal joined
% 0.74/1.15 % SZS status Unsatisfiable
% 0.74/1.15 #START OF PROOF
% 0.74/1.15 % SZS output start CNFRefutation
% 0.74/1.15 cnf('0.1.0.0',axiom,
% 0.74/1.15 ( X1 = meet(X1,X1) ),
% 0.74/1.15 file('/tmp/WALDMEISTER_6961_n009')).
% 0.74/1.15 cnf('0.1.1.0',plain,
% 0.74/1.15 ( X1 = meet(X1,X1) ),
% 0.74/1.15 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.74/1.15 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.74/1.15 cnf('0.1.2.0',plain,
% 0.74/1.15 ( meet(X1,X1) = X1 ),
% 0.74/1.15 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.74/1.15 [x,rule_1]).
% 0.74/1.15 cnf('0.2.0.0',axiom,
% 0.74/1.15 ( X1 = meet(X1,join(X1,X2)) ),
% 0.74/1.15 file('/tmp/WALDMEISTER_6961_n009')).
% 0.74/1.15 cnf('0.2.1.0',plain,
% 0.74/1.15 ( X1 = meet(X1,join(X1,X2)) ),
% 0.74/1.15 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.74/1.15 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.74/1.15 cnf('0.2.2.0',plain,
% 0.74/1.15 ( meet(X1,join(X1,X2)) = X1 ),
% 0.74/1.15 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.74/1.15 [x,rule_2]).
% 0.74/1.15 cnf('0.4.0.0',axiom,
% 0.74/1.15 ( X1 = join(X1,meet(X1,X2)) ),
% 0.74/1.15 file('/tmp/WALDMEISTER_6961_n009')).
% 0.74/1.15 cnf('0.4.1.0',plain,
% 0.74/1.15 ( X1 = join(X1,meet(X1,X2)) ),
% 0.74/1.15 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.74/1.15 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.74/1.15 cnf('0.4.2.0',plain,
% 0.74/1.15 ( join(X1,meet(X1,X2)) = X1 ),
% 0.74/1.15 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.74/1.15 [x,rule_4]).
% 0.74/1.15 cnf('0.5.0.0',axiom,
% 0.74/1.15 ( X1 = ifeq(X2,X2,X1,X3) ),
% 0.74/1.15 file('/tmp/WALDMEISTER_6961_n009')).
% 0.74/1.15 cnf('0.5.1.0',plain,
% 0.74/1.15 ( X1 = ifeq(X2,X2,X1,X3) ),
% 0.74/1.15 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.74/1.15 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.74/1.15 cnf('0.5.2.0',plain,
% 0.74/1.15 ( ifeq(X1,X1,X2,X3) = X2 ),
% 0.74/1.15 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.74/1.15 [x,rule_5]).
% 0.74/1.15 cnf('0.6.0.0',axiom,
% 0.74/1.15 ( X1 = ifeq(join(X2,X1),one,ifeq(meet(X2,X1),zero,complement(X2),X1),X1) ),
% 0.74/1.15 file('/tmp/WALDMEISTER_6961_n009')).
% 0.74/1.15 cnf('0.6.1.0',plain,
% 0.74/1.15 ( X1 = ifeq(join(X2,X1),one,ifeq(meet(X2,X1),zero,complement(X2),X1),X1) ),
% 0.74/1.15 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.74/1.15 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.74/1.15 cnf('0.6.2.0',plain,
% 0.74/1.15 ( ifeq(join(X1,X2),one,ifeq(meet(X1,X2),zero,complement(X1),X2),X2) = X2 ),
% 0.74/1.15 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.74/1.15 [x,rule_6]).
% 0.74/1.15 cnf('0.7.0.0',axiom,
% 0.74/1.15 ( meet(X1,X2) = meet(X2,X1) ),
% 0.74/1.15 file('/tmp/WALDMEISTER_6961_n009')).
% 0.74/1.15 cnf('0.7.1.0',plain,
% 0.74/1.15 ( meet(X1,X2) = meet(X2,X1) ),
% 0.74/1.15 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.74/1.15 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.74/1.15 cnf('0.7.2.0',plain,
% 0.74/1.15 ( meet(X1,X2) = meet(X2,X1) ),
% 0.74/1.15 inference(activate,[status(thm)],['0.7.1.0']),
% 0.74/1.15 [equation_1]).
% 0.74/1.15 cnf('0.8.0.0',axiom,
% 0.74/1.15 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 0.74/1.15 file('/tmp/WALDMEISTER_6961_n009')).
% 0.74/1.15 cnf('0.8.1.0',plain,
% 0.74/1.15 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 0.74/1.15 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.74/1.15 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.74/1.15 cnf('0.8.2.0',plain,
% 0.74/1.15 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 0.74/1.15 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.74/1.15 [x,rule_7]).
% 0.74/1.15 cnf('0.9.0.0',axiom,
% 0.74/1.15 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,join(meet(X1,X3),meet(X3,X4)))) ),
% 0.74/1.15 file('/tmp/WALDMEISTER_6961_n009')).
% 0.74/1.15 cnf('0.9.1.0',plain,
% 0.74/1.15 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,join(meet(X1,X3),meet(X3,X4)))) ),
% 0.74/1.15 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.74/1.15 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.74/1.15 cnf('0.9.2.0',plain,
% 0.74/1.15 ( meet(X1,join(X2,join(meet(X1,X3),meet(X3,X4)))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 0.74/1.15 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.74/1.15 [x,rule_8]).
% 0.74/1.15 cnf('0.10.0.0',axiom,
% 0.74/1.15 ( meet(X1,complement(X1)) = zero ),
% 0.74/1.15 file('/tmp/WALDMEISTER_6961_n009')).
% 0.74/1.15 cnf('0.10.1.0',plain,
% 0.74/1.15 ( meet(X1,complement(X1)) = zero ),
% 0.74/1.15 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.74/1.15 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.74/1.15 cnf('0.10.2.0',plain,
% 0.74/1.15 ( meet(X1,complement(X1)) = zero ),
% 0.74/1.15 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.74/1.15 [u,rule_9]).
% 0.74/1.15 cnf('0.11.0.0',axiom,
% 0.74/1.15 ( meet(b,a) = a ),
% 0.74/1.15 file('/tmp/WALDMEISTER_6961_n009')).
% 0.74/1.15 cnf('0.11.1.0',plain,
% 0.74/1.15 ( meet(b,a) = a ),
% 0.74/1.15 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.74/1.15 [weight('<10,0,0,[0,0,0,11]>')]).
% 0.74/1.15 cnf('0.11.2.0',plain,
% 0.74/1.15 ( meet(b,a) = a ),
% 0.74/1.15 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.74/1.15 [u,rule_10]).
% 0.74/1.15 cnf('0.12.0.0',axiom,
% 0.74/1.15 ( join(X1,X2) = join(X2,X1) ),
% 0.74/1.15 file('/tmp/WALDMEISTER_6961_n009')).
% 0.74/1.15 cnf('0.12.1.0',plain,
% 0.74/1.15 ( join(X1,X2) = join(X2,X1) ),
% 0.74/1.15 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.74/1.15 [weight('<11,0,0,[0,0,0,12]>')]).
% 0.74/1.15 cnf('0.12.2.0',plain,
% 0.74/1.15 ( join(X1,X2) = join(X2,X1) ),
% 0.74/1.15 inference(activate,[status(thm)],['0.12.1.0']),
% 0.74/1.15 [equation_2]).
% 0.74/1.15 cnf('0.13.0.0',axiom,
% 0.74/1.15 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 0.74/1.15 file('/tmp/WALDMEISTER_6961_n009')).
% 0.74/1.15 cnf('0.13.1.0',plain,
% 0.74/1.15 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 0.74/1.15 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.74/1.15 [weight('<12,0,0,[0,0,0,13]>')]).
% 0.74/1.15 cnf('0.13.2.0',plain,
% 0.74/1.15 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 0.74/1.15 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.74/1.15 [x,rule_11]).
% 0.74/1.15 cnf('0.14.0.0',axiom,
% 0.74/1.15 ( join(X1,complement(X1)) = one ),
% 0.74/1.15 file('/tmp/WALDMEISTER_6961_n009')).
% 0.74/1.15 cnf('0.14.1.0',plain,
% 0.74/1.15 ( join(X1,complement(X1)) = one ),
% 0.74/1.15 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.74/1.15 [weight('<13,0,0,[0,0,0,14]>')]).
% 0.74/1.15 cnf('0.14.2.0',plain,
% 0.74/1.15 ( join(X1,complement(X1)) = one ),
% 0.74/1.15 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.74/1.15 [u,rule_12]).
% 0.74/1.15 cnf('0.15.0.0',plain,
% 0.74/1.15 ( X1 = join(X1,zero) ),
% 0.74/1.15 inference(cp,[status(thm)],['0.4.2.0','0.10.2.0',theory(equality)]),
% 0.74/1.15 [pos('L.2','L')]).
% 0.74/1.15 cnf('0.15.1.0',plain,
% 0.74/1.15 ( X1 = join(X1,zero) ),
% 0.74/1.15 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.74/1.15 [weight('<3,10,4,[0,0,0,2]>')]).
% 0.74/1.15 cnf('0.15.2.0',plain,
% 0.74/1.15 ( join(X1,zero) = X1 ),
% 0.74/1.15 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.74/1.15 [x,rule_13]).
% 0.74/1.15 cnf('0.17.0.0',plain,
% 0.74/1.15 ( X1 = meet(X1,one) ),
% 0.74/1.15 inference(cp,[status(thm)],['0.2.2.0','0.14.2.0',theory(equality)]),
% 0.74/1.15 [pos('L.2','L')]).
% 0.74/1.15 cnf('0.17.1.0',plain,
% 0.74/1.15 ( X1 = meet(X1,one) ),
% 0.74/1.15 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.74/1.15 [weight('<3,14,2,[0,0,0,2]>')]).
% 0.74/1.15 cnf('0.17.2.0',plain,
% 0.74/1.15 ( meet(X1,one) = X1 ),
% 0.74/1.15 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.74/1.15 [x,rule_15]).
% 0.74/1.15 cnf('0.18.0.0',plain,
% 0.74/1.15 ( X1 = join(zero,X1) ),
% 0.74/1.15 inference(cp,[status(thm)],['0.15.2.0','0.12.2.0',theory(equality)]),
% 0.74/1.15 [pos('L','L')]).
% 0.74/1.15 cnf('0.18.1.0',plain,
% 0.74/1.15 ( X1 = join(zero,X1) ),
% 0.74/1.15 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.74/1.15 [weight('<3,15,12,[1,0,0,0]>')]).
% 0.74/1.15 cnf('0.18.2.0',plain,
% 0.74/1.15 ( join(zero,X1) = X1 ),
% 0.74/1.15 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.74/1.15 [x,rule_16]).
% 0.74/1.15 cnf('0.20.0.0',plain,
% 0.74/1.15 ( X1 = meet(one,X1) ),
% 0.74/1.15 inference(cp,[status(thm)],['0.17.2.0','0.7.2.0',theory(equality)]),
% 0.74/1.15 [pos('L','L')]).
% 0.74/1.15 cnf('0.20.1.0',plain,
% 0.74/1.15 ( X1 = meet(one,X1) ),
% 0.74/1.15 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.74/1.15 [weight('<3,17,7,[1,0,0,0]>')]).
% 0.74/1.15 cnf('0.20.2.0',plain,
% 0.74/1.15 ( meet(one,X1) = X1 ),
% 0.74/1.15 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.74/1.15 [x,rule_18]).
% 0.74/1.15 cnf('0.22.0.0',plain,
% 0.74/1.15 ( zero = meet(zero,X1) ),
% 0.74/1.15 inference(cp,[status(thm)],['0.2.2.0','0.18.2.0',theory(equality)]),
% 0.74/1.15 [pos('L.2','L')]).
% 0.74/1.15 cnf('0.22.1.0',plain,
% 0.77/1.15 ( zero = meet(zero,X1) ),
% 0.77/1.15 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.77/1.15 [weight('<3,18,2,[0,0,0,2]>')]).
% 0.77/1.15 cnf('0.22.2.0',plain,
% 0.77/1.15 ( meet(zero,X1) = zero ),
% 0.77/1.15 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.77/1.15 [x,rule_20]).
% 0.77/1.15 cnf('0.23.0.0',plain,
% 0.77/1.15 ( join(one,X1) = one ),
% 0.77/1.15 inference(cp,[status(thm)],['0.20.2.0','0.2.2.0',theory(equality)]),
% 0.77/1.15 [pos('L','L')]).
% 0.77/1.15 cnf('0.23.1.0',plain,
% 0.77/1.15 ( join(one,X1) = one ),
% 0.77/1.15 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.77/1.15 [weight('<3,20,2,[1,0,0,0]>')]).
% 0.77/1.15 cnf('0.23.2.0',plain,
% 0.77/1.15 ( join(one,X1) = one ),
% 0.77/1.15 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.77/1.15 [u,rule_21]).
% 0.77/1.15 cnf('0.24.0.0',plain,
% 0.77/1.15 ( zero = meet(X1,zero) ),
% 0.77/1.15 inference(cp,[status(thm)],['0.22.2.0','0.7.2.0',theory(equality)]),
% 0.77/1.15 [pos('L','L')]).
% 0.77/1.15 cnf('0.24.1.0',plain,
% 0.77/1.15 ( zero = meet(X1,zero) ),
% 0.77/1.15 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.77/1.15 [weight('<3,22,7,[1,0,0,0]>')]).
% 0.77/1.15 cnf('0.24.2.0',plain,
% 0.77/1.15 ( meet(X1,zero) = zero ),
% 0.77/1.15 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.77/1.15 [x,rule_22]).
% 0.77/1.15 cnf('0.26.0.0',plain,
% 0.77/1.15 ( X1 = join(X1,meet(X2,X1)) ),
% 0.77/1.15 inference(cp,[status(thm)],['0.4.2.0','0.7.2.0',theory(equality)]),
% 0.77/1.15 [pos('L.2','L')]).
% 0.77/1.15 cnf('0.26.1.0',plain,
% 0.77/1.15 ( X1 = join(X1,meet(X2,X1)) ),
% 0.77/1.15 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.77/1.15 [weight('<5,7,4,[0,0,0,2]>')]).
% 0.77/1.15 cnf('0.26.2.0',plain,
% 0.77/1.15 ( join(X1,meet(X2,X1)) = X1 ),
% 0.77/1.15 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.77/1.15 [x,rule_24]).
% 0.77/1.15 cnf('0.27.0.0',plain,
% 0.77/1.15 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 0.77/1.15 inference(cp,[status(thm)],['0.8.2.0','0.1.2.0',theory(equality)]),
% 0.77/1.15 [pos('L.1','L')]).
% 0.77/1.15 cnf('0.27.1.0',plain,
% 0.77/1.15 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 0.77/1.15 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.77/1.15 [weight('<5,8,1,[1,0,0,1]>')]).
% 0.77/1.15 cnf('0.27.2.0',plain,
% 0.77/1.15 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 0.77/1.15 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.77/1.15 [u,rule_25]).
% 0.77/1.15 cnf('0.28.0.0',plain,
% 0.77/1.15 ( meet(b,meet(a,X1)) = meet(a,X1) ),
% 0.77/1.15 inference(cp,[status(thm)],['0.8.2.0','0.11.2.0',theory(equality)]),
% 0.77/1.15 [pos('L.1','L')]).
% 0.77/1.15 cnf('0.28.1.0',plain,
% 0.77/1.15 ( meet(b,meet(a,X1)) = meet(a,X1) ),
% 0.77/1.15 inference(weigh,[status(thm)],['0.28.0.0']),
% 0.77/1.15 [weight('<5,11,8,[0,0,0,1]>')]).
% 0.77/1.15 cnf('0.28.2.0',plain,
% 0.77/1.15 ( meet(b,meet(a,X1)) = meet(a,X1) ),
% 0.77/1.15 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.77/1.15 [u,rule_26]).
% 0.77/1.15 cnf('0.36.0.0',plain,
% 0.77/1.15 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 0.77/1.15 inference(cp,[status(thm)],['0.27.2.0','0.7.2.0',theory(equality)]),
% 0.77/1.15 [pos('L.2','L')]).
% 0.77/1.15 cnf('0.36.1.0',plain,
% 0.77/1.15 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 0.77/1.15 inference(weigh,[status(thm)],['0.36.0.0']),
% 0.77/1.15 [weight('<5,27,7,[1,0,0,2]>')]).
% 0.77/1.15 cnf('0.36.2.0',plain,
% 0.77/1.15 ( meet(X1,meet(X2,X1)) = meet(X1,X2) ),
% 0.77/1.15 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.77/1.15 [x,rule_34]).
% 0.77/1.15 cnf('0.41.0.0',plain,
% 0.77/1.15 ( meet(meet(a,X1),b) = meet(meet(a,X1),meet(a,X1)) ),
% 0.77/1.15 inference(cp,[status(thm)],['0.36.2.0','0.28.2.0',theory(equality)]),
% 0.77/1.15 [pos('L.2','L')]).
% 0.77/1.15 cnf('0.41.0.1',plain,
% 0.77/1.15 ( meet(a,meet(X1,b)) = meet(meet(a,X1),meet(a,X1)) ),
% 0.77/1.15 inference(reduction,[status(thm)],['0.41.0.0','0.8.2.0',theory(equality)]),
% 0.77/1.15 [pos('L','L')]).
% 0.77/1.15 cnf('0.41.0.2',plain,
% 0.77/1.15 ( meet(a,meet(X1,b)) = meet(a,meet(X1,meet(a,X1))) ),
% 0.77/1.15 inference(reduction,[status(thm)],['0.41.0.1','0.8.2.0',theory(equality)]),
% 0.77/1.15 [pos('R','L')]).
% 0.77/1.15 cnf('0.41.0.3',plain,
% 0.77/1.15 ( meet(a,meet(X1,b)) = meet(a,meet(X1,a)) ),
% 0.77/1.15 inference(reduction,[status(thm)],['0.41.0.2','0.36.2.0',theory(equality)]),
% 0.77/1.15 [pos('R.2','L')]).
% 0.77/1.15 cnf('0.41.0.4',plain,
% 0.77/1.15 ( meet(a,meet(X1,b)) = meet(a,X1) ),
% 0.77/1.15 inference(reduction,[status(thm)],['0.41.0.3','0.36.2.0',theory(equality)]),
% 0.77/1.15 [pos('R','L')]).
% 0.77/1.15 cnf('0.41.1.0',plain,
% 0.77/1.15 ( meet(a,meet(X1,b)) = meet(a,X1) ),
% 0.77/1.15 inference(weigh,[status(thm)],['0.41.0.4']),
% 0.77/1.15 [weight('<5,36,28,[1,0,0,2]>')]).
% 0.77/1.15 cnf('0.41.2.0',plain,
% 0.77/1.15 ( meet(a,meet(X1,b)) = meet(a,X1) ),
% 0.77/1.15 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 0.77/1.15 [u,rule_39]).
% 0.77/1.15 cnf('0.42.0.0',plain,
% 0.77/1.15 ( meet(a,X1) = meet(a,meet(b,X1)) ),
% 0.77/1.15 inference(cp,[status(thm)],['0.41.2.0','0.7.2.0',theory(equality)]),
% 0.77/1.15 [pos('L.2','L')]).
% 0.77/1.15 cnf('0.42.1.0',plain,
% 0.77/1.15 ( meet(a,X1) = meet(a,meet(b,X1)) ),
% 0.77/1.15 inference(weigh,[status(thm)],['0.42.0.0']),
% 0.77/1.15 [weight('<5,41,7,[1,0,0,2]>')]).
% 0.77/1.15 cnf('0.42.2.0',plain,
% 0.77/1.15 ( meet(a,meet(b,X1)) = meet(a,X1) ),
% 0.77/1.15 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 0.77/1.15 [x,rule_40]).
% 0.77/1.15 cnf('0.43.0.0',plain,
% 0.77/1.15 ( meet(a,complement(b)) = meet(a,zero) ),
% 0.77/1.15 inference(cp,[status(thm)],['0.42.2.0','0.10.2.0',theory(equality)]),
% 0.77/1.15 [pos('L.2','L')]).
% 0.77/1.15 cnf('0.43.0.1',plain,
% 0.77/1.15 ( meet(a,complement(b)) = zero ),
% 0.77/1.15 inference(reduction,[status(thm)],['0.43.0.0','0.24.2.0',theory(equality)]),
% 0.77/1.15 [pos('R','L')]).
% 0.77/1.15 cnf('0.43.1.0',plain,
% 0.77/1.15 ( meet(a,complement(b)) = zero ),
% 0.77/1.15 inference(weigh,[status(thm)],['0.43.0.1']),
% 0.77/1.15 [weight('<4,42,10,[1,0,0,2]>')]).
% 0.77/1.15 cnf('0.43.2.0',plain,
% 0.77/1.15 ( meet(a,complement(b)) = zero ),
% 0.77/1.15 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 0.77/1.15 [u,rule_41]).
% 0.77/1.15 cnf('0.47.0.0',plain,
% 0.77/1.15 ( join(X1,join(complement(X1),X2)) = join(one,X2) ),
% 0.77/1.15 inference(cp,[status(thm)],['0.13.2.0','0.14.2.0',theory(equality)]),
% 0.77/1.15 [pos('L.1','L')]).
% 0.77/1.15 cnf('0.47.1.0',plain,
% 0.77/1.15 ( join(X1,join(complement(X1),X2)) = join(one,X2) ),
% 0.77/1.15 inference(weigh,[status(thm)],['0.47.0.0']),
% 0.77/1.15 [weight('<6,14,13,[0,0,0,1]>')]).
% 0.77/1.15 cnf('0.47.1.1',plain,
% 0.77/1.15 ( join(X1,join(complement(X1),X2)) = one ),
% 0.77/1.15 inference(reduction,[status(thm)],['0.47.1.0','0.23.2.0',theory(equality)]),
% 0.77/1.15 [pos('R','L')]).
% 0.77/1.15 cnf('0.47.2.0',plain,
% 0.77/1.15 ( join(X1,join(complement(X1),X2)) = one ),
% 0.77/1.15 inference(orient,[status(thm)],['0.47.1.1',theory(equality)]),
% 0.77/1.15 [u,rule_45]).
% 0.77/1.15 cnf('0.54.0.0',plain,
% 0.77/1.15 ( one = join(X1,join(X2,complement(X1))) ),
% 0.77/1.15 inference(cp,[status(thm)],['0.47.2.0','0.12.2.0',theory(equality)]),
% 0.77/1.15 [pos('L.2','L')]).
% 0.77/1.15 cnf('0.54.1.0',plain,
% 0.77/1.15 ( one = join(X1,join(X2,complement(X1))) ),
% 0.77/1.15 inference(weigh,[status(thm)],['0.54.0.0']),
% 0.77/1.15 [weight('<6,47,12,[1,0,0,2]>')]).
% 0.77/1.15 cnf('0.54.2.0',plain,
% 0.77/1.15 ( join(X1,join(X2,complement(X1))) = one ),
% 0.77/1.15 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 0.77/1.15 [x,rule_52]).
% 0.77/1.15 cnf('0.74.0.0',plain,
% 0.77/1.15 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 0.77/1.15 inference(cp,[status(thm)],['0.26.2.0','0.8.2.0',theory(equality)]),
% 0.77/1.15 [pos('L.2','L')]).
% 0.77/1.15 cnf('0.74.1.0',plain,
% 0.77/1.15 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 0.77/1.15 inference(weigh,[status(thm)],['0.74.0.0']),
% 0.77/1.15 [weight('<7,26,8,[1,0,0,2]>')]).
% 0.77/1.15 cnf('0.74.2.0',plain,
% 0.77/1.15 ( join(X1,meet(X2,meet(X3,X1))) = X1 ),
% 0.77/1.15 inference(orient,[status(thm)],['0.74.1.0',theory(equality)]),
% 0.77/1.15 [x,rule_72]).
% 0.77/1.15 cnf('0.106.0.0',plain,
% 0.77/1.15 ( join(X1,X2) = join(join(X1,X2),meet(X3,X1)) ),
% 0.77/1.15 inference(cp,[status(thm)],['0.74.2.0','0.2.2.0',theory(equality)]),
% 0.77/1.15 [pos('L.2.2','L')]).
% 0.77/1.15 cnf('0.106.0.1',plain,
% 0.77/1.15 ( join(X1,X2) = join(X1,join(X2,meet(X3,X1))) ),
% 0.77/1.15 inference(reduction,[status(thm)],['0.106.0.0','0.13.2.0',theory(equality)]),
% 0.77/1.15 [pos('R','L')]).
% 0.77/1.15 cnf('0.106.1.0',plain,
% 0.77/1.15 ( join(X1,X2) = join(X1,join(X2,meet(X3,X1))) ),
% 0.77/1.15 inference(weigh,[status(thm)],['0.106.0.1']),
% 0.77/1.15 [weight('<7,74,2,[1,0,0,4]>')]).
% 0.77/1.15 cnf('0.106.2.0',plain,
% 0.77/1.15 ( join(X1,join(X2,meet(X3,X1))) = join(X1,X2) ),
% 0.77/1.15 inference(orient,[status(thm)],['0.106.1.0',theory(equality)]),
% 0.77/1.15 [x,rule_104]).
% 0.77/1.15 cnf('0.335.0.0',plain,
% 0.77/1.15 ( meet(X1,join(X2,meet(X3,join(X1,X2)))) = meet(X1,join(X2,meet(X1,X3))) ),
% 0.77/1.15 inference(cp,[status(thm)],['0.9.2.0','0.106.2.0',theory(equality)]),
% 0.77/1.15 [pos('L.2','L')]).
% 0.77/1.15 cnf('0.335.1.0',plain,
% 0.77/1.15 ( meet(X1,join(X2,meet(X3,join(X1,X2)))) = meet(X1,join(X2,meet(X1,X3))) ),
% 0.77/1.15 inference(weigh,[status(thm)],['0.335.0.0']),
% 0.77/1.15 [weight('<9,106,9,[0,0,0,2]>')]).
% 0.77/1.15 cnf('0.335.2.0',plain,
% 0.77/1.15 ( meet(X1,join(X2,meet(X3,join(X1,X2)))) = meet(X1,join(X2,meet(X1,X3))) ),
% 0.77/1.15 inference(orient,[status(thm)],['0.335.1.0',theory(equality)]),
% 0.77/1.15 [u,rule_333]).
% 0.77/1.15 cnf('0.336.0.0',plain,
% 0.77/1.15 ( meet(X1,join(complement(X1),meet(X1,X2))) = meet(X1,join(complement(X1),meet(X2,one))) ),
% 0.77/1.15 inference(cp,[status(thm)],['0.335.2.0','0.14.2.0',theory(equality)]),
% 0.77/1.15 [pos('L.2.2.2','L')]).
% 0.77/1.15 cnf('0.336.0.1',plain,
% 0.77/1.15 ( meet(X1,join(complement(X1),meet(X1,X2))) = meet(X1,join(complement(X1),X2)) ),
% 0.77/1.15 inference(reduction,[status(thm)],['0.336.0.0','0.17.2.0',theory(equality)]),
% 0.77/1.15 [pos('R.2.2','L')]).
% 0.77/1.15 cnf('0.336.1.0',plain,
% 0.77/1.15 ( meet(X1,join(complement(X1),meet(X1,X2))) = meet(X1,join(complement(X1),X2)) ),
% 0.77/1.15 inference(weigh,[status(thm)],['0.336.0.1']),
% 0.77/1.15 [weight('<8,335,14,[1,0,0,6]>')]).
% 0.77/1.15 cnf('0.336.2.0',plain,
% 0.77/1.15 ( meet(X1,join(complement(X1),meet(X1,X2))) = meet(X1,join(complement(X1),X2)) ),
% 0.77/1.15 inference(orient,[status(thm)],['0.336.1.0',theory(equality)]),
% 0.77/1.15 [u,rule_334]).
% 0.77/1.15 cnf('0.337.0.0',plain,
% 0.77/1.15 ( meet(a,join(complement(a),complement(b))) = meet(a,join(complement(a),zero)) ),
% 0.77/1.15 inference(cp,[status(thm)],['0.336.2.0','0.43.2.0',theory(equality)]),
% 0.77/1.15 [pos('L.2.2','L')]).
% 0.77/1.15 cnf('0.337.0.1',plain,
% 0.77/1.15 ( meet(a,join(complement(a),complement(b))) = meet(a,complement(a)) ),
% 0.77/1.15 inference(reduction,[status(thm)],['0.337.0.0','0.15.2.0',theory(equality)]),
% 0.77/1.15 [pos('R.2','L')]).
% 0.77/1.15 cnf('0.337.0.2',plain,
% 0.77/1.15 ( meet(a,join(complement(a),complement(b))) = zero ),
% 0.77/1.15 inference(reduction,[status(thm)],['0.337.0.1','0.10.2.0',theory(equality)]),
% 0.77/1.15 [pos('R','L')]).
% 0.77/1.15 cnf('0.337.1.0',plain,
% 0.77/1.15 ( meet(a,join(complement(a),complement(b))) = zero ),
% 0.77/1.15 inference(weigh,[status(thm)],['0.337.0.2']),
% 0.77/1.15 [weight('<7,336,43,[1,0,0,5]>')]).
% 0.77/1.15 cnf('0.337.1.1',plain,
% 0.77/1.15 ( meet(a,join(complement(b),complement(a))) = zero ),
% 0.77/1.15 inference(reduction,[status(thm)],['0.337.1.0','0.12.2.0',theory(equality)]),
% 0.77/1.15 [pos('L.2','L')]).
% 0.77/1.15 cnf('0.337.2.0',plain,
% 0.77/1.15 ( meet(a,join(complement(b),complement(a))) = zero ),
% 0.77/1.15 inference(orient,[status(thm)],['0.337.1.1',theory(equality)]),
% 0.77/1.15 [u,rule_335]).
% 0.77/1.15 cnf('0.338.0.0',plain,
% 0.77/1.15 ( join(complement(b),complement(a)) = ifeq(join(a,join(complement(b),complement(a))),one,ifeq(zero,zero,complement(a),join(complement(b),complement(a))),join(complement(b),complement(a))) ),
% 0.77/1.15 inference(cp,[status(thm)],['0.6.2.0','0.337.2.0',theory(equality)]),
% 0.77/1.15 [pos('L.3.1','L')]).
% 0.77/1.15 cnf('0.338.0.1',plain,
% 0.77/1.15 ( join(complement(b),complement(a)) = ifeq(one,one,ifeq(zero,zero,complement(a),join(complement(b),complement(a))),join(complement(b),complement(a))) ),
% 0.77/1.15 inference(reduction,[status(thm)],['0.338.0.0','0.54.2.0',theory(equality)]),
% 0.77/1.15 [pos('R.1','L')]).
% 0.77/1.15 cnf('0.338.0.2',plain,
% 0.77/1.15 ( join(complement(b),complement(a)) = ifeq(zero,zero,complement(a),join(complement(b),complement(a))) ),
% 0.77/1.15 inference(reduction,[status(thm)],['0.338.0.1','0.5.2.0',theory(equality)]),
% 0.77/1.15 [pos('R','L')]).
% 0.77/1.15 cnf('0.338.0.3',plain,
% 0.77/1.15 ( join(complement(b),complement(a)) = complement(a) ),
% 0.77/1.15 inference(reduction,[status(thm)],['0.338.0.2','0.5.2.0',theory(equality)]),
% 0.77/1.15 [pos('R','L')]).
% 0.77/1.15 cnf('0.338.1.0',plain,
% 0.77/1.15 ( join(complement(b),complement(a)) = complement(a) ),
% 0.77/1.15 inference(weigh,[status(thm)],['0.338.0.3']),
% 0.77/1.15 [weight('<5,337,6,[0,0,0,6]>')]).
% 0.77/1.15 cnf('0.338.2.0',plain,
% 0.77/1.15 ( join(complement(b),complement(a)) = complement(a) ),
% 0.77/1.15 inference(orient,[status(thm)],['0.338.1.0',theory(equality)]),
% 0.77/1.15 [u,rule_336]).
% 0.77/1.15 cnf('1.0.0.0',conjecture,
% 0.77/1.15 ( join(complement(b),complement(a)) = complement(a) ),
% 0.77/1.15 file('/tmp/WALDMEISTER_6961_n009',conjecture_1)).
% 0.77/1.15 cnf('1.0.0.1',plain,
% 0.77/1.15 ( complement(a) = complement(a) ),
% 0.77/1.15 inference(reduction,[status(thm)],['1.0.0.0','0.338.2.0',theory(equality)]),
% 0.77/1.15 [pos('L','L')]).
% 0.77/1.15 cnf('1.0.0.2',plain,
% 0.77/1.15 ( $true ),
% 0.77/1.15 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.77/1.15 [conjecture_1]).
% 0.77/1.15
% 0.77/1.15 Proved Goals:
% 0.77/1.15 No. 1: join(complement(b),complement(a)) ?= complement(a) joined, current: complement(a) = complement(a)
% 0.77/1.15 1 goal was specified, which was proved.
% 0.77/1.15 % SZS output end CNFRefutation
% 0.77/1.15 #END OF PROOF
% 0.77/1.15
% 0.77/1.15 Problem WALDMEISTER_6961_n009
% 0.77/1.15 CPs.gen 54278
% 0.77/1.15 CPs.reexp 0
% 0.77/1.15 Select 3680
% 0.77/1.15 R 336
% 0.77/1.15 E 2
% 0.77/1.15 vsize 6.5M
% 0.77/1.15 rss 3.8M
% 0.77/1.15 process.time 0.163s
% 0.77/1.15 wallclock.time 0.163s
% 0.77/1.15 status S
% 0.77/1.15
% 0.77/1.15
% 0.77/1.15 Waldmeister states: Goal proved.
% 0.77/1.15 % SZS status Unsatisfiable
%------------------------------------------------------------------------------