TSTP Solution File: LAT170-1 by Waldmeister---710
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT170-1 : TPTP v8.1.0. Released v3.1.0.
% 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 07:15:30 EDT 2022
% Result : Unsatisfiable 124.91s 125.38s
% Output : CNFRefutation 124.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT170-1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n005.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 : Wed Jun 29 21:04:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.57/0.96 ********************************************************************************
% 0.57/0.96 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.96 * |/ | \/ | *
% 0.57/0.96 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.96 * A. Jaeger and B. Loechner | | *
% 0.57/0.96 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.96 ********************************************************************************
% 0.57/0.96
% 0.57/0.96
% 0.57/0.96 Goals:
% 0.57/0.96 ------
% 0.57/0.96
% 0.57/0.96 ( 1) meet(a,join(b,meet(join(a,b),join(c,meet(a,b))))) ?=? meet(a,join(b,c))
% 0.57/0.96
% 0.57/0.96 Detected structure: Verband
% 0.57/0.96 ********************************************************************************
% 0.57/0.96 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.96 ********************************************************************************
% 0.57/0.96
% 124.91/125.38 joined goal: 1 meet(a,join(b,meet(join(a,b),join(c,meet(a,b))))) ?= meet(a,join(b,c)) to meet(a,join(b,c))
% 124.91/125.38 goal joined
% 124.91/125.38 % SZS status Unsatisfiable
% 124.91/125.38 #START OF PROOF
% 124.91/125.38 % SZS output start CNFRefutation
% 124.91/125.38 cnf('0.1.0.0',axiom,
% 124.91/125.38 ( X1 = join(X1,X1) ),
% 124.91/125.38 file('/tmp/WALDMEISTER_19761_n005')).
% 124.91/125.38 cnf('0.1.1.0',plain,
% 124.91/125.38 ( X1 = join(X1,X1) ),
% 124.91/125.38 inference(weigh,[status(thm)],['0.1.0.0']),
% 124.91/125.38 [weight('<0,0,0,[0,0,0,1]>')]).
% 124.91/125.38 cnf('0.1.2.0',plain,
% 124.91/125.38 ( join(X1,X1) = X1 ),
% 124.91/125.38 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 124.91/125.38 [x,rule_1]).
% 124.91/125.38 cnf('0.2.0.0',axiom,
% 124.91/125.38 ( X1 = join(X1,meet(X1,X2)) ),
% 124.91/125.38 file('/tmp/WALDMEISTER_19761_n005')).
% 124.91/125.38 cnf('0.2.1.0',plain,
% 124.91/125.38 ( X1 = join(X1,meet(X1,X2)) ),
% 124.91/125.38 inference(weigh,[status(thm)],['0.2.0.0']),
% 124.91/125.38 [weight('<1,0,0,[0,0,0,2]>')]).
% 124.91/125.38 cnf('0.2.2.0',plain,
% 124.91/125.38 ( join(X1,meet(X1,X2)) = X1 ),
% 124.91/125.38 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 124.91/125.38 [x,rule_2]).
% 124.91/125.38 cnf('0.4.0.0',axiom,
% 124.91/125.38 ( X1 = meet(X1,join(X1,X2)) ),
% 124.91/125.38 file('/tmp/WALDMEISTER_19761_n005')).
% 124.91/125.38 cnf('0.4.1.0',plain,
% 124.91/125.38 ( X1 = meet(X1,join(X1,X2)) ),
% 124.91/125.38 inference(weigh,[status(thm)],['0.4.0.0']),
% 124.91/125.38 [weight('<3,0,0,[0,0,0,4]>')]).
% 124.91/125.38 cnf('0.4.2.0',plain,
% 124.91/125.38 ( meet(X1,join(X1,X2)) = X1 ),
% 124.91/125.38 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 124.91/125.38 [x,rule_4]).
% 124.91/125.38 cnf('0.5.0.0',axiom,
% 124.91/125.38 ( join(X1,X2) = join(X2,X1) ),
% 124.91/125.38 file('/tmp/WALDMEISTER_19761_n005')).
% 124.91/125.38 cnf('0.5.1.0',plain,
% 124.91/125.38 ( join(X1,X2) = join(X2,X1) ),
% 124.91/125.38 inference(weigh,[status(thm)],['0.5.0.0']),
% 124.91/125.38 [weight('<4,0,0,[0,0,0,5]>')]).
% 124.91/125.38 cnf('0.5.2.0',plain,
% 124.91/125.38 ( join(X1,X2) = join(X2,X1) ),
% 124.91/125.38 inference(activate,[status(thm)],['0.5.1.0']),
% 124.91/125.38 [equation_1]).
% 124.91/125.38 cnf('0.6.0.0',axiom,
% 124.91/125.38 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 124.91/125.38 file('/tmp/WALDMEISTER_19761_n005')).
% 124.91/125.38 cnf('0.6.1.0',plain,
% 124.91/125.38 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 124.91/125.38 inference(weigh,[status(thm)],['0.6.0.0']),
% 124.91/125.38 [weight('<5,0,0,[0,0,0,6]>')]).
% 124.91/125.38 cnf('0.6.2.0',plain,
% 124.91/125.38 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 124.91/125.38 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 124.91/125.38 [x,rule_5]).
% 124.91/125.38 cnf('0.7.0.0',axiom,
% 124.91/125.38 ( join(X1,meet(X2,join(X3,meet(X1,X4)))) = join(X1,meet(X2,meet(join(X1,X3),join(X3,meet(X2,X4))))) ),
% 124.91/125.38 file('/tmp/WALDMEISTER_19761_n005')).
% 124.91/125.38 cnf('0.7.1.0',plain,
% 124.91/125.38 ( join(X1,meet(X2,join(X3,meet(X1,X4)))) = join(X1,meet(X2,meet(join(X1,X3),join(X3,meet(X2,X4))))) ),
% 124.91/125.38 inference(weigh,[status(thm)],['0.7.0.0']),
% 124.91/125.38 [weight('<6,0,0,[0,0,0,7]>')]).
% 124.91/125.38 cnf('0.7.2.0',plain,
% 124.91/125.38 ( join(X1,meet(X2,meet(join(X1,X3),join(X3,meet(X2,X4))))) = join(X1,meet(X2,join(X3,meet(X1,X4)))) ),
% 124.91/125.38 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 124.91/125.38 [x,rule_6]).
% 124.91/125.38 cnf('0.8.0.0',axiom,
% 124.91/125.38 ( meet(X1,X2) = meet(X2,X1) ),
% 124.91/125.38 file('/tmp/WALDMEISTER_19761_n005')).
% 124.91/125.38 cnf('0.8.1.0',plain,
% 124.91/125.38 ( meet(X1,X2) = meet(X2,X1) ),
% 124.91/125.38 inference(weigh,[status(thm)],['0.8.0.0']),
% 124.91/125.38 [weight('<7,0,0,[0,0,0,8]>')]).
% 124.91/125.38 cnf('0.8.2.0',plain,
% 124.91/125.38 ( meet(X1,X2) = meet(X2,X1) ),
% 124.91/125.38 inference(activate,[status(thm)],['0.8.1.0']),
% 124.91/125.38 [equation_2]).
% 124.91/125.38 cnf('0.9.0.0',axiom,
% 124.91/125.38 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 124.91/125.38 file('/tmp/WALDMEISTER_19761_n005')).
% 124.91/125.38 cnf('0.9.1.0',plain,
% 124.91/125.38 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 124.91/125.38 inference(weigh,[status(thm)],['0.9.0.0']),
% 124.91/125.38 [weight('<8,0,0,[0,0,0,9]>')]).
% 124.91/125.38 cnf('0.9.2.0',plain,
% 124.91/125.38 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 124.91/125.38 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 124.91/125.38 [x,rule_7]).
% 124.91/125.38 cnf('0.10.0.0',plain,
% 124.91/125.38 ( X1 = meet(X1,join(X2,X1)) ),
% 124.91/125.38 inference(cp,[status(thm)],['0.4.2.0','0.5.2.0',theory(equality)]),
% 124.91/125.38 [pos('L.2','L')]).
% 124.91/125.38 cnf('0.10.1.0',plain,
% 124.91/125.38 ( X1 = meet(X1,join(X2,X1)) ),
% 124.91/125.38 inference(weigh,[status(thm)],['0.10.0.0']),
% 124.91/125.38 [weight('<5,5,4,[0,0,0,2]>')]).
% 124.91/125.38 cnf('0.10.2.0',plain,
% 124.91/125.38 ( meet(X1,join(X2,X1)) = X1 ),
% 124.91/125.38 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 124.91/125.38 [x,rule_8]).
% 124.91/125.38 cnf('0.11.0.0',plain,
% 124.91/125.38 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 124.91/125.38 inference(cp,[status(thm)],['0.6.2.0','0.1.2.0',theory(equality)]),
% 124.91/125.38 [pos('L.1','L')]).
% 124.91/125.38 cnf('0.11.1.0',plain,
% 124.91/125.38 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 124.91/125.38 inference(weigh,[status(thm)],['0.11.0.0']),
% 124.91/125.38 [weight('<5,6,1,[1,0,0,1]>')]).
% 124.91/125.38 cnf('0.11.2.0',plain,
% 124.91/125.38 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 124.91/125.38 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 124.91/125.38 [u,rule_9]).
% 124.91/125.38 cnf('0.12.0.0',plain,
% 124.91/125.38 ( X1 = join(X1,meet(X2,X1)) ),
% 124.91/125.38 inference(cp,[status(thm)],['0.2.2.0','0.8.2.0',theory(equality)]),
% 124.91/125.38 [pos('L.2','L')]).
% 124.91/125.38 cnf('0.12.1.0',plain,
% 124.91/125.38 ( X1 = join(X1,meet(X2,X1)) ),
% 124.91/125.38 inference(weigh,[status(thm)],['0.12.0.0']),
% 124.91/125.38 [weight('<5,8,2,[0,0,0,2]>')]).
% 124.91/125.38 cnf('0.12.2.0',plain,
% 124.91/125.38 ( join(X1,meet(X2,X1)) = X1 ),
% 124.91/125.38 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 124.91/125.38 [x,rule_10]).
% 124.91/125.38 cnf('0.14.0.0',plain,
% 124.91/125.38 ( meet(X1,X2) = meet(meet(X1,X2),X1) ),
% 124.91/125.38 inference(cp,[status(thm)],['0.10.2.0','0.2.2.0',theory(equality)]),
% 124.91/125.38 [pos('L.2','L')]).
% 124.91/125.38 cnf('0.14.0.1',plain,
% 124.91/125.38 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 124.91/125.38 inference(reduction,[status(thm)],['0.14.0.0','0.9.2.0',theory(equality)]),
% 124.91/125.38 [pos('R','L')]).
% 124.91/125.38 cnf('0.14.1.0',plain,
% 124.91/125.38 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 124.91/125.38 inference(weigh,[status(thm)],['0.14.0.1']),
% 124.91/125.38 [weight('<5,10,2,[1,0,0,2]>')]).
% 124.91/125.38 cnf('0.14.2.0',plain,
% 124.91/125.38 ( meet(X1,meet(X2,X1)) = meet(X1,X2) ),
% 124.91/125.38 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 124.91/125.38 [x,rule_12]).
% 124.91/125.38 cnf('0.15.0.0',plain,
% 124.91/125.38 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 124.91/125.38 inference(cp,[status(thm)],['0.11.2.0','0.5.2.0',theory(equality)]),
% 124.91/125.38 [pos('L.2','L')]).
% 124.91/125.38 cnf('0.15.1.0',plain,
% 124.91/125.38 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 124.91/125.38 inference(weigh,[status(thm)],['0.15.0.0']),
% 124.91/125.38 [weight('<5,11,5,[1,0,0,2]>')]).
% 124.91/125.38 cnf('0.15.2.0',plain,
% 124.91/125.38 ( join(X1,join(X2,X1)) = join(X1,X2) ),
% 124.91/125.38 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 124.91/125.38 [x,rule_13]).
% 124.91/125.38 cnf('0.16.0.0',plain,
% 124.91/125.38 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 124.91/125.38 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 124.91/125.38 [pos('L.1','L')]).
% 124.91/125.38 cnf('0.16.1.0',plain,
% 124.91/125.38 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 124.91/125.38 inference(weigh,[status(thm)],['0.16.0.0']),
% 124.91/125.38 [weight('<7,6,2,[1,0,0,1]>')]).
% 124.91/125.38 cnf('0.16.2.0',plain,
% 124.91/125.38 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 124.91/125.38 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 124.91/125.38 [u,rule_14]).
% 124.91/125.38 cnf('0.18.0.0',plain,
% 124.91/125.38 ( X1 = meet(X1,join(X2,join(X3,X1))) ),
% 124.91/125.38 inference(cp,[status(thm)],['0.10.2.0','0.6.2.0',theory(equality)]),
% 124.91/125.38 [pos('L.2','L')]).
% 124.91/125.38 cnf('0.18.1.0',plain,
% 124.91/125.38 ( X1 = meet(X1,join(X2,join(X3,X1))) ),
% 124.91/125.38 inference(weigh,[status(thm)],['0.18.0.0']),
% 124.91/125.38 [weight('<7,10,6,[1,0,0,2]>')]).
% 124.91/125.38 cnf('0.18.2.0',plain,
% 124.91/125.38 ( meet(X1,join(X2,join(X3,X1))) = X1 ),
% 124.91/125.38 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 124.91/125.38 [x,rule_16]).
% 124.91/125.38 cnf('0.19.0.0',plain,
% 124.91/125.38 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 124.91/125.38 inference(cp,[status(thm)],['0.9.2.0','0.10.2.0',theory(equality)]),
% 124.91/125.38 [pos('L.1','L')]).
% 124.91/125.38 cnf('0.19.1.0',plain,
% 124.91/125.38 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 124.91/125.38 inference(weigh,[status(thm)],['0.19.0.0']),
% 124.91/125.38 [weight('<7,10,9,[0,0,0,1]>')]).
% 124.91/125.38 cnf('0.19.2.0',plain,
% 124.91/125.38 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 124.91/125.38 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 124.91/125.38 [u,rule_17]).
% 124.91/125.38 cnf('0.22.0.0',plain,
% 124.91/125.38 ( meet(X1,meet(meet(X2,X1),X3)) = meet(meet(X1,X2),X3) ),
% 124.91/125.38 inference(cp,[status(thm)],['0.9.2.0','0.14.2.0',theory(equality)]),
% 124.91/125.38 [pos('L.1','L')]).
% 124.91/125.38 cnf('0.22.0.1',plain,
% 124.91/125.38 ( meet(X1,meet(X2,meet(X1,X3))) = meet(meet(X1,X2),X3) ),
% 124.91/125.38 inference(reduction,[status(thm)],['0.22.0.0','0.9.2.0',theory(equality)]),
% 124.91/125.38 [pos('L.2','L')]).
% 124.91/125.38 cnf('0.22.0.2',plain,
% 124.91/125.38 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 124.91/125.38 inference(reduction,[status(thm)],['0.22.0.1','0.9.2.0',theory(equality)]),
% 124.91/125.38 [pos('R','L')]).
% 124.91/125.38 cnf('0.22.1.0',plain,
% 124.91/125.38 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 124.91/125.38 inference(weigh,[status(thm)],['0.22.0.2']),
% 124.91/125.38 [weight('<7,14,9,[0,0,0,1]>')]).
% 124.91/125.38 cnf('0.22.2.0',plain,
% 124.91/125.38 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 124.91/125.38 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 124.91/125.38 [u,rule_20]).
% 124.91/125.38 cnf('0.25.0.0',plain,
% 124.91/125.38 ( join(X1,join(join(X2,X1),X3)) = join(join(X1,X2),X3) ),
% 124.91/125.38 inference(cp,[status(thm)],['0.6.2.0','0.15.2.0',theory(equality)]),
% 124.91/125.38 [pos('L.1','L')]).
% 124.91/125.38 cnf('0.25.0.1',plain,
% 124.91/125.38 ( join(X1,join(X2,join(X1,X3))) = join(join(X1,X2),X3) ),
% 124.91/125.38 inference(reduction,[status(thm)],['0.25.0.0','0.6.2.0',theory(equality)]),
% 124.91/125.38 [pos('L.2','L')]).
% 124.91/125.38 cnf('0.25.0.2',plain,
% 124.91/125.38 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 124.91/125.38 inference(reduction,[status(thm)],['0.25.0.1','0.6.2.0',theory(equality)]),
% 124.91/125.38 [pos('R','L')]).
% 124.91/125.38 cnf('0.25.1.0',plain,
% 124.91/125.38 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 124.91/125.38 inference(weigh,[status(thm)],['0.25.0.2']),
% 124.91/125.38 [weight('<7,15,6,[0,0,0,1]>')]).
% 124.91/125.38 cnf('0.25.2.0',plain,
% 124.91/125.38 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 124.91/125.38 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 124.91/125.38 [u,rule_23]).
% 124.91/125.38 cnf('0.28.0.0',plain,
% 124.91/125.38 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 124.91/125.38 inference(cp,[status(thm)],['0.16.2.0','0.5.2.0',theory(equality)]),
% 124.91/125.38 [pos('L.2','L')]).
% 124.91/125.38 cnf('0.28.1.0',plain,
% 124.91/125.38 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 124.91/125.38 inference(weigh,[status(thm)],['0.28.0.0']),
% 124.91/125.38 [weight('<7,16,5,[1,0,0,2]>')]).
% 124.91/125.38 cnf('0.28.2.0',plain,
% 124.91/125.38 ( join(X1,join(X2,meet(X1,X3))) = join(X1,X2) ),
% 124.91/125.38 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 124.91/125.38 [x,rule_26]).
% 124.91/125.38 cnf('0.32.0.0',plain,
% 124.91/125.38 ( meet(X1,X2) = meet(meet(X1,X2),join(X3,X1)) ),
% 124.91/125.38 inference(cp,[status(thm)],['0.18.2.0','0.2.2.0',theory(equality)]),
% 124.91/125.38 [pos('L.2.2','L')]).
% 124.91/125.38 cnf('0.32.0.1',plain,
% 124.91/125.38 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,X1))) ),
% 124.91/125.38 inference(reduction,[status(thm)],['0.32.0.0','0.9.2.0',theory(equality)]),
% 124.91/125.38 [pos('R','L')]).
% 124.91/125.38 cnf('0.32.1.0',plain,
% 124.91/125.38 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,X1))) ),
% 124.91/125.38 inference(weigh,[status(thm)],['0.32.0.1']),
% 124.91/125.38 [weight('<7,18,2,[1,0,0,4]>')]).
% 124.91/125.38 cnf('0.32.2.0',plain,
% 124.91/125.38 ( meet(X1,meet(X2,join(X3,X1))) = meet(X1,X2) ),
% 124.91/125.38 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 124.91/125.38 [x,rule_30]).
% 124.91/125.38 cnf('0.38.0.0',plain,
% 124.91/125.38 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 124.91/125.38 inference(cp,[status(thm)],['0.10.2.0','0.9.2.0',theory(equality)]),
% 124.91/125.38 [pos('L','L')]).
% 124.91/125.38 cnf('0.38.1.0',plain,
% 124.91/125.38 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 124.91/125.38 inference(weigh,[status(thm)],['0.38.0.0']),
% 124.91/125.38 [weight('<9,10,9,[1,0,0,0]>')]).
% 124.91/125.38 cnf('0.38.2.0',plain,
% 124.91/125.38 ( meet(X1,meet(X2,join(X3,meet(X1,X2)))) = meet(X1,X2) ),
% 124.91/125.38 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 124.91/125.38 [x,rule_36]).
% 124.91/125.38 cnf('0.67.0.0',plain,
% 124.91/125.38 ( meet(X1,meet(X2,meet(join(X3,X1),X4))) = meet(X1,meet(join(X3,X1),meet(X2,X4))) ),
% 124.91/125.38 inference(cp,[status(thm)],['0.19.2.0','0.22.2.0',theory(equality)]),
% 124.91/125.38 [pos('L.2','L')]).
% 124.91/125.38 cnf('0.67.0.1',plain,
% 124.91/125.38 ( meet(X1,meet(X2,meet(join(X3,X1),X4))) = meet(X1,meet(X2,X4)) ),
% 124.91/125.38 inference(reduction,[status(thm)],['0.67.0.0','0.19.2.0',theory(equality)]),
% 124.91/125.38 [pos('R','L')]).
% 124.91/125.38 cnf('0.67.1.0',plain,
% 124.91/125.38 ( meet(X1,meet(X2,meet(join(X3,X1),X4))) = meet(X1,meet(X2,X4)) ),
% 124.91/125.38 inference(weigh,[status(thm)],['0.67.0.1']),
% 124.91/125.38 [weight('<9,22,19,[0,0,0,2]>')]).
% 124.91/125.38 cnf('0.67.2.0',plain,
% 124.91/125.38 ( meet(X1,meet(X2,meet(join(X3,X1),X4))) = meet(X1,meet(X2,X4)) ),
% 124.91/125.38 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 124.91/125.38 [u,rule_65]).
% 124.91/125.38 cnf('0.75.0.0',plain,
% 124.91/125.38 ( join(X1,X2) = meet(join(X1,X2),join(X1,join(X3,X2))) ),
% 124.91/125.38 inference(cp,[status(thm)],['0.18.2.0','0.25.2.0',theory(equality)]),
% 124.91/125.38 [pos('L.2','L')]).
% 124.91/125.38 cnf('0.75.1.0',plain,
% 124.91/125.38 ( join(X1,X2) = meet(join(X1,X2),join(X1,join(X3,X2))) ),
% 124.91/125.38 inference(weigh,[status(thm)],['0.75.0.0']),
% 124.91/125.38 [weight('<9,25,18,[0,0,0,2]>')]).
% 124.91/125.38 cnf('0.75.2.0',plain,
% 124.91/125.38 ( meet(join(X1,X2),join(X1,join(X3,X2))) = join(X1,X2) ),
% 124.91/125.38 inference(orient,[status(thm)],['0.75.1.0',theory(equality)]),
% 124.91/125.38 [x,rule_73]).
% 124.91/125.38 cnf('0.123.0.0',plain,
% 124.91/125.38 ( join(X1,meet(X2,X3)) = meet(join(X1,meet(X2,X3)),join(X1,X3)) ),
% 124.91/125.38 inference(cp,[status(thm)],['0.75.2.0','0.12.2.0',theory(equality)]),
% 124.91/125.38 [pos('L.2.2','L')]).
% 124.91/125.38 cnf('0.123.1.0',plain,
% 124.91/125.38 ( join(X1,meet(X2,X3)) = meet(join(X1,meet(X2,X3)),join(X1,X3)) ),
% 124.91/125.38 inference(weigh,[status(thm)],['0.123.0.0']),
% 124.91/125.38 [weight('<9,75,12,[1,0,0,6]>')]).
% 124.91/125.38 cnf('0.123.1.1',plain,
% 124.91/125.38 ( join(X1,meet(X2,X3)) = meet(join(X1,X3),join(X1,meet(X2,X3))) ),
% 124.91/125.38 inference(reduction,[status(thm)],['0.123.1.0','0.8.2.0',theory(equality)]),
% 124.91/125.38 [pos('R','L')]).
% 124.91/125.38 cnf('0.123.2.0',plain,
% 124.91/125.38 ( meet(join(X1,X2),join(X1,meet(X3,X2))) = join(X1,meet(X3,X2)) ),
% 124.91/125.38 inference(orient,[status(thm)],['0.123.1.1',theory(equality)]),
% 124.91/125.38 [x,rule_119]).
% 124.91/125.38 cnf('0.208.0.0',plain,
% 124.91/125.38 ( meet(X1,meet(X2,join(X3,meet(join(X4,X1),X2)))) = meet(X1,meet(join(X4,X1),X2)) ),
% 124.91/125.38 inference(cp,[status(thm)],['0.19.2.0','0.38.2.0',theory(equality)]),
% 124.91/125.38 [pos('L.2','L')]).
% 124.91/125.38 cnf('0.208.0.1',plain,
% 124.91/125.38 ( meet(X1,meet(X2,join(X3,meet(join(X4,X1),X2)))) = meet(X1,X2) ),
% 124.91/125.38 inference(reduction,[status(thm)],['0.208.0.0','0.19.2.0',theory(equality)]),
% 124.91/125.38 [pos('R','L')]).
% 124.91/125.38 cnf('0.208.1.0',plain,
% 124.91/125.38 ( meet(X1,meet(X2,join(X3,meet(join(X4,X1),X2)))) = meet(X1,X2) ),
% 124.91/125.38 inference(weigh,[status(thm)],['0.208.0.1']),
% 124.91/125.38 [weight('<11,38,19,[0,0,0,2]>')]).
% 124.91/125.38 cnf('0.208.2.0',plain,
% 124.91/125.38 ( meet(X1,meet(X2,join(X3,meet(join(X4,X1),X2)))) = meet(X1,X2) ),
% 124.91/125.38 inference(orient,[status(thm)],['0.208.1.0',theory(equality)]),
% 124.91/125.38 [u,rule_200]).
% 124.91/125.38 cnf('0.808.0.0',plain,
% 124.91/125.38 ( join(X1,meet(X2,join(X3,meet(X1,X4)))) = join(X1,meet(X2,meet(join(X1,X3),join(X3,meet(X4,X2))))) ),
% 124.91/125.38 inference(cp,[status(thm)],['0.7.2.0','0.8.2.0',theory(equality)]),
% 124.91/125.38 [pos('L.2.2.2.2','L')]).
% 124.91/125.38 cnf('0.808.1.0',plain,
% 124.91/125.38 ( join(X1,meet(X2,join(X3,meet(X1,X4)))) = join(X1,meet(X2,meet(join(X1,X3),join(X3,meet(X4,X2))))) ),
% 124.91/125.38 inference(weigh,[status(thm)],['0.808.0.0']),
% 124.91/125.38 [weight('<13,8,7,[0,0,0,10]>')]).
% 124.91/125.38 cnf('0.808.2.0',plain,
% 124.91/125.38 ( join(X1,meet(X2,meet(join(X1,X3),join(X3,meet(X4,X2))))) = join(X1,meet(X2,join(X3,meet(X1,X4)))) ),
% 124.91/125.38 inference(orient,[status(thm)],['0.808.1.0',theory(equality)]),
% 124.91/125.38 [x,rule_799]).
% 124.91/125.38 cnf('0.1440.0.0',plain,
% 124.91/125.38 ( join(X1,meet(X2,join(X3,meet(X1,X4)))) = meet(join(X1,X3),join(X1,meet(X2,join(X3,meet(X1,X4))))) ),
% 124.91/125.38 inference(cp,[status(thm)],['0.123.2.0','0.28.2.0',theory(equality)]),
% 124.91/125.38 [pos('L.1','L')]).
% 124.91/125.38 cnf('0.1440.1.0',plain,
% 124.91/125.38 ( join(X1,meet(X2,join(X3,meet(X1,X4)))) = meet(join(X1,X3),join(X1,meet(X2,join(X3,meet(X1,X4))))) ),
% 124.91/125.38 inference(weigh,[status(thm)],['0.1440.0.0']),
% 124.91/125.38 [weight('<13,123,28,[1,0,0,1]>')]).
% 124.91/125.38 cnf('0.1440.2.0',plain,
% 124.91/125.38 ( meet(join(X1,X2),join(X1,meet(X3,join(X2,meet(X1,X4))))) = join(X1,meet(X3,join(X2,meet(X1,X4)))) ),
% 124.91/125.38 inference(orient,[status(thm)],['0.1440.1.0',theory(equality)]),
% 124.91/125.38 [x,rule_1431]).
% 124.91/125.38 cnf('0.4004.0.0',plain,
% 124.91/125.38 ( join(X1,meet(join(X2,X3),join(X4,meet(X1,X3)))) = join(X1,meet(join(X2,X3),meet(join(X1,X4),join(X4,X3)))) ),
% 124.91/125.38 inference(cp,[status(thm)],['0.808.2.0','0.10.2.0',theory(equality)]),
% 124.91/125.38 [pos('L.2.2.2.2','L')]).
% 124.91/125.38 cnf('0.4004.1.0',plain,
% 124.91/125.38 ( join(X1,meet(join(X2,X3),join(X4,meet(X1,X3)))) = join(X1,meet(join(X2,X3),meet(join(X1,X4),join(X4,X3)))) ),
% 124.91/125.38 inference(weigh,[status(thm)],['0.4004.0.0']),
% 124.91/125.38 [weight('<13,808,10,[1,0,0,10]>')]).
% 124.91/125.38 cnf('0.4004.2.0',plain,
% 124.91/125.38 ( join(X1,meet(join(X2,X3),meet(join(X1,X4),join(X4,X3)))) = join(X1,meet(join(X2,X3),join(X4,meet(X1,X3)))) ),
% 124.91/125.38 inference(orient,[status(thm)],['0.4004.1.0',theory(equality)]),
% 124.91/125.38 [x,rule_3992]).
% 124.91/125.38 cnf('0.4675.0.0',plain,
% 124.91/125.38 ( meet(X1,meet(join(X2,X3),join(X3,X1))) = meet(X1,meet(meet(join(X2,X3),join(X3,X1)),join(X2,meet(join(X4,X1),join(X3,meet(X2,X1)))))) ),
% 124.91/125.38 inference(cp,[status(thm)],['0.208.2.0','0.4004.2.0',theory(equality)]),
% 124.91/125.38 [pos('L.2.2','L')]).
% 124.91/125.38 cnf('0.4675.0.1',plain,
% 124.91/125.38 ( meet(X1,join(X2,X3)) = meet(X1,meet(meet(join(X2,X3),join(X3,X1)),join(X2,meet(join(X4,X1),join(X3,meet(X2,X1)))))) ),
% 124.91/125.38 inference(reduction,[status(thm)],['0.4675.0.0','0.32.2.0',theory(equality)]),
% 124.91/125.38 [pos('L','L')]).
% 124.91/125.38 cnf('0.4675.0.2',plain,
% 124.91/125.38 ( meet(X1,join(X2,X3)) = meet(X1,meet(join(X2,X3),meet(join(X3,X1),join(X2,meet(join(X4,X1),join(X3,meet(X2,X1))))))) ),
% 124.91/125.38 inference(reduction,[status(thm)],['0.4675.0.1','0.9.2.0',theory(equality)]),
% 124.91/125.38 [pos('R.2','L')]).
% 124.91/125.38 cnf('0.4675.0.3',plain,
% 124.91/125.38 ( meet(X1,join(X2,X3)) = meet(X1,meet(join(X2,X3),join(X2,meet(join(X4,X1),join(X3,meet(X2,X1)))))) ),
% 124.91/125.38 inference(reduction,[status(thm)],['0.4675.0.2','0.67.2.0',theory(equality)]),
% 124.91/125.38 [pos('R','L')]).
% 124.91/125.38 cnf('0.4675.0.4',plain,
% 124.91/125.38 ( meet(X1,join(X2,X3)) = meet(X1,join(X2,meet(join(X4,X1),join(X3,meet(X2,X1))))) ),
% 124.91/125.38 inference(reduction,[status(thm)],['0.4675.0.3','0.1440.2.0',theory(equality)]),
% 124.91/125.38 [pos('R.2','L')]).
% 124.91/125.38 cnf('0.4675.1.0',plain,
% 124.91/125.38 ( meet(X1,join(X2,X3)) = meet(X1,join(X2,meet(join(X4,X1),join(X3,meet(X2,X1))))) ),
% 124.91/125.38 inference(weigh,[status(thm)],['0.4675.0.4']),
% 124.91/125.38 [weight('<13,4004,208,[0,0,0,4]>')]).
% 124.91/125.38 cnf('0.4675.2.0',plain,
% 124.91/125.38 ( meet(X1,join(X2,meet(join(X3,X1),join(X4,meet(X2,X1))))) = meet(X1,join(X2,X4)) ),
% 124.91/125.38 inference(orient,[status(thm)],['0.4675.1.0',theory(equality)]),
% 124.91/125.38 [x,rule_4640]).
% 124.91/125.38 cnf('1.0.0.0',conjecture,
% 124.91/125.38 ( meet(a,join(b,meet(join(a,b),join(c,meet(a,b))))) = meet(a,join(b,c)) ),
% 124.91/125.38 file('/tmp/WALDMEISTER_19761_n005',conjecture_1)).
% 124.91/125.38 cnf('1.0.0.1',plain,
% 124.91/125.38 ( meet(a,join(b,meet(join(b,a),join(c,meet(a,b))))) = meet(a,join(b,c)) ),
% 124.91/125.38 inference(reduction,[status(thm)],['1.0.0.0','0.5.2.0',theory(equality)]),
% 124.91/125.38 [pos('L.2.2.1','L')]).
% 124.91/125.38 cnf('1.0.0.2',plain,
% 124.91/125.38 ( meet(a,join(b,meet(join(b,a),join(c,meet(b,a))))) = meet(a,join(b,c)) ),
% 124.91/125.38 inference(reduction,[status(thm)],['1.0.0.1','0.8.2.0',theory(equality)]),
% 124.91/125.38 [pos('L.2.2.2.2','L')]).
% 124.91/125.38 cnf('1.0.0.3',plain,
% 124.91/125.38 ( meet(a,join(b,c)) = meet(a,join(b,c)) ),
% 124.91/125.38 inference(reduction,[status(thm)],['1.0.0.2','0.4675.2.0',theory(equality)]),
% 124.91/125.38 [pos('L','L')]).
% 124.91/125.38 cnf('1.0.0.4',plain,
% 124.91/125.38 ( $true ),
% 124.91/125.38 inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 124.91/125.38 [conjecture_1]).
% 124.91/125.38
% 124.91/125.38 Proved Goals:
% 124.91/125.38 No. 1: meet(a,join(b,meet(join(a,b),join(c,meet(a,b))))) ?= meet(a,join(b,c)) joined, current: meet(a,join(b,c)) = meet(a,join(b,c))
% 124.91/125.38 1 goal was specified, which was proved.
% 124.91/125.38 % SZS output end CNFRefutation
% 124.91/125.38 #END OF PROOF
% 124.91/125.38
% 124.91/125.38 Problem WALDMEISTER_19761_n005
% 124.91/125.38 CPs.gen 28793213
% 124.91/125.38 CPs.reexp 0
% 124.91/125.38 Select 494065
% 124.91/125.38 R 4640
% 124.91/125.38 E 35
% 124.91/125.38 vsize 12.7M
% 124.91/125.38 rss 8.1M
% 124.91/125.38 process.time 124.407s
% 124.91/125.38 wallclock.time 124.416s
% 124.91/125.38 status S
% 124.91/125.38
% 124.91/125.38
% 124.91/125.38 Waldmeister states: Goal proved.
% 124.91/125.38 % SZS status Unsatisfiable
%------------------------------------------------------------------------------