TSTP Solution File: LCL109-2 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LCL109-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n017.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 16:03:34 EDT 2022
% Result : Unsatisfiable 0.70s 1.15s
% Output : CNFRefutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL109-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.11 % Command : woody %s
% 0.11/0.32 % Computer : n017.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sat Jul 2 22:35:26 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.55/0.96 ********************************************************************************
% 0.55/0.96 * W A L D M E I S T E R \| \ / \|/ *
% 0.55/0.96 * |/ | \/ | *
% 0.55/0.96 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.55/0.96 * A. Jaeger and B. Loechner | | *
% 0.55/0.96 * <waldmeister@informatik.uni-kl.de> | *
% 0.55/0.96 ********************************************************************************
% 0.55/0.96
% 0.55/0.96
% 0.55/0.96 Goals:
% 0.55/0.96 ------
% 0.55/0.96
% 0.55/0.96 ( 1) implies(implies(implies(a,b),implies(b,a)),implies(b,a)) ?=? truth
% 0.55/0.96
% 0.55/0.96 Detected structure: WajsbergAlgebra
% 0.55/0.96 ********************************************************************************
% 0.55/0.96 ****************************** COMPLETION - PROOF ******************************
% 0.55/0.96 ********************************************************************************
% 0.55/0.96
% 0.70/1.15 joined goal: 1 implies(implies(implies(a,b),implies(b,a)),implies(b,a)) ?= truth to truth
% 0.70/1.15 goal joined
% 0.70/1.15 % SZS status Unsatisfiable
% 0.70/1.15 #START OF PROOF
% 0.70/1.15 % SZS output start CNFRefutation
% 0.70/1.15 cnf('0.1.0.0',axiom,
% 0.70/1.15 ( X1 = implies(truth,X1) ),
% 0.70/1.15 file('/tmp/WALDMEISTER_1617_n017')).
% 0.70/1.15 cnf('0.1.1.0',plain,
% 0.70/1.15 ( X1 = implies(truth,X1) ),
% 0.70/1.15 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.70/1.15 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.70/1.15 cnf('0.1.2.0',plain,
% 0.70/1.15 ( implies(truth,X1) = X1 ),
% 0.70/1.15 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.70/1.15 [x,rule_1]).
% 0.70/1.15 cnf('0.2.0.0',axiom,
% 0.70/1.15 ( implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1) ),
% 0.70/1.15 file('/tmp/WALDMEISTER_1617_n017')).
% 0.70/1.15 cnf('0.2.1.0',plain,
% 0.70/1.15 ( implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1) ),
% 0.70/1.15 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.70/1.15 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.70/1.15 cnf('0.2.2.0',plain,
% 0.70/1.15 ( implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1) ),
% 0.70/1.15 inference(activate,[status(thm)],['0.2.1.0']),
% 0.70/1.15 [equation_1]).
% 0.70/1.15 cnf('0.3.0.0',axiom,
% 0.70/1.15 ( implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth ),
% 0.70/1.15 file('/tmp/WALDMEISTER_1617_n017')).
% 0.70/1.15 cnf('0.3.1.0',plain,
% 0.70/1.15 ( implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth ),
% 0.70/1.15 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.70/1.15 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.70/1.15 cnf('0.3.2.0',plain,
% 0.70/1.15 ( implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth ),
% 0.70/1.15 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.70/1.15 [u,rule_2]).
% 0.70/1.15 cnf('0.4.0.0',axiom,
% 0.70/1.15 ( implies(implies(not(X1),not(X2)),implies(X2,X1)) = truth ),
% 0.70/1.15 file('/tmp/WALDMEISTER_1617_n017')).
% 0.70/1.15 cnf('0.4.1.0',plain,
% 0.70/1.15 ( implies(implies(not(X1),not(X2)),implies(X2,X1)) = truth ),
% 0.70/1.15 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.70/1.15 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.70/1.15 cnf('0.4.2.0',plain,
% 0.70/1.15 ( implies(implies(not(X1),not(X2)),implies(X2,X1)) = truth ),
% 0.70/1.15 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.70/1.15 [u,rule_3]).
% 0.70/1.15 cnf('0.5.0.0',plain,
% 0.70/1.15 ( truth = implies(X1,implies(implies(X1,X2),implies(truth,X2))) ),
% 0.70/1.15 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.70/1.15 [pos('L.1','L')]).
% 0.70/1.15 cnf('0.5.0.1',plain,
% 0.70/1.15 ( truth = implies(X1,implies(implies(X1,X2),X2)) ),
% 0.70/1.15 inference(reduction,[status(thm)],['0.5.0.0','0.1.2.0',theory(equality)]),
% 0.70/1.15 [pos('R.2.2','L')]).
% 0.70/1.15 cnf('0.5.1.0',plain,
% 0.70/1.15 ( truth = implies(X1,implies(implies(X1,X2),X2)) ),
% 0.70/1.15 inference(weigh,[status(thm)],['0.5.0.1']),
% 0.70/1.15 [weight('<71,3,1,[1,0,0,1]>')]).
% 0.70/1.15 cnf('0.5.2.0',plain,
% 0.70/1.15 ( implies(X1,implies(implies(X1,X2),X2)) = truth ),
% 0.70/1.15 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.70/1.15 [x,rule_4]).
% 0.70/1.15 cnf('0.6.0.0',plain,
% 0.70/1.15 ( truth = implies(implies(truth,X1),X1) ),
% 0.70/1.15 inference(cp,[status(thm)],['0.5.2.0','0.1.2.0',theory(equality)]),
% 0.70/1.15 [pos('L','L')]).
% 0.70/1.15 cnf('0.6.0.1',plain,
% 0.70/1.15 ( truth = implies(X1,X1) ),
% 0.70/1.15 inference(reduction,[status(thm)],['0.6.0.0','0.1.2.0',theory(equality)]),
% 0.70/1.15 [pos('R.1','L')]).
% 0.70/1.15 cnf('0.6.1.0',plain,
% 0.70/1.15 ( truth = implies(X1,X1) ),
% 0.70/1.15 inference(weigh,[status(thm)],['0.6.0.1']),
% 0.70/1.15 [weight('<19,5,1,[1,0,0,0]>')]).
% 0.70/1.15 cnf('0.6.2.0',plain,
% 0.70/1.15 ( implies(X1,X1) = truth ),
% 0.70/1.15 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.70/1.15 [x,rule_5]).
% 0.70/1.15 cnf('0.7.0.0',plain,
% 0.70/1.15 ( truth = implies(implies(not(X1),not(truth)),X1) ),
% 0.70/1.15 inference(cp,[status(thm)],['0.4.2.0','0.1.2.0',theory(equality)]),
% 0.70/1.15 [pos('L.2','L')]).
% 0.70/1.15 cnf('0.7.1.0',plain,
% 0.70/1.15 ( truth = implies(implies(not(X1),not(truth)),X1) ),
% 0.70/1.15 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.70/1.15 [weight('<71,4,1,[1,0,0,6]>')]).
% 0.70/1.15 cnf('0.7.2.0',plain,
% 0.70/1.15 ( implies(implies(not(X1),not(truth)),X1) = truth ),
% 0.70/1.15 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.70/1.15 [x,rule_6]).
% 0.70/1.15 cnf('0.10.0.0',plain,
% 0.70/1.15 ( truth = implies(X1,implies(implies(X2,X1),X1)) ),
% 0.70/1.15 inference(cp,[status(thm)],['0.5.2.0','0.2.2.0',theory(equality)]),
% 0.70/1.15 [pos('L.2','L')]).
% 0.70/1.15 cnf('0.10.1.0',plain,
% 0.70/1.15 ( truth = implies(X1,implies(implies(X2,X1),X1)) ),
% 0.70/1.15 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.70/1.15 [weight('<71,5,2,[1,0,0,2]>')]).
% 0.70/1.15 cnf('0.10.2.0',plain,
% 0.70/1.15 ( implies(X1,implies(implies(X2,X1),X1)) = truth ),
% 0.70/1.15 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.70/1.15 [x,rule_9]).
% 0.70/1.15 cnf('0.11.0.0',plain,
% 0.70/1.15 ( truth = implies(X1,implies(X1,X1)) ),
% 0.70/1.15 inference(cp,[status(thm)],['0.10.2.0','0.1.2.0',theory(equality)]),
% 0.70/1.15 [pos('L.2.1','L')]).
% 0.70/1.15 cnf('0.11.0.1',plain,
% 0.70/1.15 ( truth = implies(X1,truth) ),
% 0.70/1.15 inference(reduction,[status(thm)],['0.11.0.0','0.6.2.0',theory(equality)]),
% 0.70/1.15 [pos('R.2','L')]).
% 0.70/1.15 cnf('0.11.1.0',plain,
% 0.70/1.15 ( truth = implies(X1,truth) ),
% 0.70/1.15 inference(weigh,[status(thm)],['0.11.0.1']),
% 0.70/1.15 [weight('<19,10,1,[1,0,0,3]>')]).
% 0.70/1.15 cnf('0.11.2.0',plain,
% 0.70/1.15 ( implies(X1,truth) = truth ),
% 0.70/1.15 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.70/1.15 [x,rule_10]).
% 0.70/1.15 cnf('0.12.0.0',plain,
% 0.70/1.15 ( truth = implies(truth,implies(implies(truth,X1),implies(X2,X1))) ),
% 0.70/1.15 inference(cp,[status(thm)],['0.3.2.0','0.11.2.0',theory(equality)]),
% 0.70/1.15 [pos('L.1','L')]).
% 0.70/1.15 cnf('0.12.0.1',plain,
% 0.70/1.15 ( truth = implies(implies(truth,X1),implies(X2,X1)) ),
% 0.70/1.15 inference(reduction,[status(thm)],['0.12.0.0','0.1.2.0',theory(equality)]),
% 0.70/1.15 [pos('R','L')]).
% 0.70/1.15 cnf('0.12.0.2',plain,
% 0.70/1.15 ( truth = implies(X1,implies(X2,X1)) ),
% 0.70/1.15 inference(reduction,[status(thm)],['0.12.0.1','0.1.2.0',theory(equality)]),
% 0.70/1.15 [pos('R.1','L')]).
% 0.70/1.15 cnf('0.12.1.0',plain,
% 0.70/1.15 ( truth = implies(X1,implies(X2,X1)) ),
% 0.70/1.15 inference(weigh,[status(thm)],['0.12.0.2']),
% 0.70/1.15 [weight('<41,11,3,[0,0,0,1]>')]).
% 0.70/1.15 cnf('0.12.2.0',plain,
% 0.70/1.15 ( implies(X1,implies(X2,X1)) = truth ),
% 0.70/1.15 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.70/1.15 [x,rule_11]).
% 0.70/1.15 cnf('0.13.0.0',plain,
% 0.70/1.15 ( implies(implies(implies(X1,X2),X2),X2) = implies(truth,implies(X1,X2)) ),
% 0.70/1.15 inference(cp,[status(thm)],['0.2.2.0','0.12.2.0',theory(equality)]),
% 0.70/1.15 [pos('L.1','L')]).
% 0.70/1.15 cnf('0.13.0.1',plain,
% 0.70/1.15 ( implies(implies(implies(X1,X2),X2),X2) = implies(X1,X2) ),
% 0.70/1.15 inference(reduction,[status(thm)],['0.13.0.0','0.1.2.0',theory(equality)]),
% 0.70/1.15 [pos('R','L')]).
% 0.70/1.15 cnf('0.13.1.0',plain,
% 0.70/1.15 ( implies(implies(implies(X1,X2),X2),X2) = implies(X1,X2) ),
% 0.70/1.15 inference(weigh,[status(thm)],['0.13.0.1']),
% 0.70/1.15 [weight('<87,12,2,[0,0,0,1]>')]).
% 0.70/1.15 cnf('0.13.2.0',plain,
% 0.70/1.15 ( implies(implies(implies(X1,X2),X2),X2) = implies(X1,X2) ),
% 0.70/1.15 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.70/1.15 [u,rule_12]).
% 0.70/1.15 cnf('0.15.0.0',plain,
% 0.70/1.15 ( implies(X1,X2) = implies(implies(implies(X2,X1),X1),X2) ),
% 0.70/1.15 inference(cp,[status(thm)],['0.13.2.0','0.2.2.0',theory(equality)]),
% 0.70/1.15 [pos('L.1','L')]).
% 0.70/1.15 cnf('0.15.1.0',plain,
% 0.70/1.15 ( implies(X1,X2) = implies(implies(implies(X2,X1),X1),X2) ),
% 0.70/1.15 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.70/1.15 [weight('<87,13,2,[1,0,0,1]>')]).
% 0.70/1.15 cnf('0.15.2.0',plain,
% 0.70/1.15 ( implies(implies(implies(X1,X2),X2),X1) = implies(X2,X1) ),
% 0.70/1.15 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.70/1.15 [x,rule_14]).
% 0.70/1.15 cnf('0.16.0.0',plain,
% 0.70/1.15 ( implies(not(truth),not(not(truth))) = implies(truth,not(not(truth))) ),
% 0.70/1.15 inference(cp,[status(thm)],['0.15.2.0','0.7.2.0',theory(equality)]),
% 0.70/1.15 [pos('L.1','L')]).
% 0.70/1.15 cnf('0.16.0.1',plain,
% 0.70/1.15 ( implies(not(truth),not(not(truth))) = not(not(truth)) ),
% 0.70/1.15 inference(reduction,[status(thm)],['0.16.0.0','0.1.2.0',theory(equality)]),
% 0.70/1.15 [pos('R','L')]).
% 0.70/1.15 cnf('0.16.1.0',plain,
% 0.70/1.15 ( implies(not(truth),not(not(truth))) = not(not(truth)) ),
% 0.70/1.15 inference(weigh,[status(thm)],['0.16.0.1']),
% 0.70/1.15 [weight('<69,15,7,[1,0,0,1]>')]).
% 0.70/1.15 cnf('0.16.2.0',plain,
% 0.70/1.15 ( implies(not(truth),not(not(truth))) = not(not(truth)) ),
% 0.70/1.15 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.70/1.15 [u,rule_15]).
% 0.70/1.15 cnf('0.17.0.0',plain,
% 0.70/1.15 ( truth = implies(truth,implies(implies(implies(X1,X2),X3),implies(X2,X3))) ),
% 0.70/1.15 inference(cp,[status(thm)],['0.3.2.0','0.12.2.0',theory(equality)]),
% 0.70/1.15 [pos('L.1','L')]).
% 0.70/1.15 cnf('0.17.0.1',plain,
% 0.70/1.15 ( truth = implies(implies(implies(X1,X2),X3),implies(X2,X3)) ),
% 0.70/1.15 inference(reduction,[status(thm)],['0.17.0.0','0.1.2.0',theory(equality)]),
% 0.70/1.15 [pos('R','L')]).
% 0.70/1.15 cnf('0.17.1.0',plain,
% 0.70/1.15 ( truth = implies(implies(implies(X1,X2),X3),implies(X2,X3)) ),
% 0.70/1.15 inference(weigh,[status(thm)],['0.17.0.1']),
% 0.70/1.15 [weight('<109,12,3,[0,0,0,1]>')]).
% 0.70/1.15 cnf('0.17.2.0',plain,
% 0.70/1.15 ( implies(implies(implies(X1,X2),X3),implies(X2,X3)) = truth ),
% 0.70/1.15 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.70/1.15 [x,rule_16]).
% 0.70/1.15 cnf('0.18.0.0',plain,
% 0.70/1.15 ( truth = implies(truth,implies(not(truth),X1)) ),
% 0.70/1.15 inference(cp,[status(thm)],['0.17.2.0','0.7.2.0',theory(equality)]),
% 0.70/1.15 [pos('L.1','L')]).
% 0.70/1.15 cnf('0.18.0.1',plain,
% 0.70/1.15 ( truth = implies(not(truth),X1) ),
% 0.70/1.15 inference(reduction,[status(thm)],['0.18.0.0','0.1.2.0',theory(equality)]),
% 0.70/1.15 [pos('R','L')]).
% 0.70/1.15 cnf('0.18.1.0',plain,
% 0.70/1.15 ( truth = implies(not(truth),X1) ),
% 0.70/1.15 inference(weigh,[status(thm)],['0.18.0.1']),
% 0.70/1.15 [weight('<29,17,7,[1,0,0,1]>')]).
% 0.70/1.15 cnf('0.18.2.0',plain,
% 0.70/1.15 ( implies(not(truth),X1) = truth ),
% 0.70/1.15 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.70/1.15 [x,rule_17]).
% 0.70/1.15 cnf('0.19.0.0',plain,
% 0.70/1.15 ( implies(not(truth),not(not(truth))) = not(not(truth)) ),
% 0.70/1.15 inference(interreduction_right,[status(thm)],['0.16.2.0'])).
% 0.70/1.15 cnf('0.19.0.1',plain,
% 0.70/1.15 ( truth = not(not(truth)) ),
% 0.70/1.15 inference(reduction,[status(thm)],['0.19.0.0','0.18.2.0',theory(equality)]),
% 0.70/1.15 [pos('L','L')]).
% 0.70/1.15 cnf('0.19.1.0',plain,
% 0.70/1.15 ( truth = not(not(truth)) ),
% 0.70/1.15 inference(weigh,[status(thm)],['0.19.0.1']),
% 0.70/1.15 [weight('<19,16,18,[0,0,0,0]>')]).
% 0.70/1.15 cnf('0.19.2.0',plain,
% 0.70/1.15 ( not(not(truth)) = truth ),
% 0.70/1.15 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.70/1.15 [x,rule_18]).
% 0.70/1.15 cnf('0.21.0.0',plain,
% 0.70/1.15 ( truth = implies(truth,implies(X1,implies(X2,implies(X3,X1)))) ),
% 0.70/1.15 inference(cp,[status(thm)],['0.17.2.0','0.12.2.0',theory(equality)]),
% 0.70/1.15 [pos('L.1','L')]).
% 0.70/1.15 cnf('0.21.0.1',plain,
% 0.70/1.15 ( truth = implies(X1,implies(X2,implies(X3,X1))) ),
% 0.70/1.15 inference(reduction,[status(thm)],['0.21.0.0','0.1.2.0',theory(equality)]),
% 0.70/1.15 [pos('R','L')]).
% 0.70/1.15 cnf('0.21.1.0',plain,
% 0.70/1.15 ( truth = implies(X1,implies(X2,implies(X3,X1))) ),
% 0.70/1.15 inference(weigh,[status(thm)],['0.21.0.1']),
% 0.70/1.15 [weight('<71,17,12,[1,0,0,1]>')]).
% 0.70/1.15 cnf('0.21.2.0',plain,
% 0.70/1.15 ( implies(X1,implies(X2,implies(X3,X1))) = truth ),
% 0.70/1.15 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.70/1.15 [x,rule_20]).
% 0.70/1.15 cnf('0.22.0.0',plain,
% 0.70/1.15 ( implies(implies(X1,not(truth)),not(truth)) = implies(truth,X1) ),
% 0.70/1.15 inference(cp,[status(thm)],['0.2.2.0','0.18.2.0',theory(equality)]),
% 0.70/1.15 [pos('L.1','L')]).
% 0.70/1.15 cnf('0.22.0.1',plain,
% 0.70/1.15 ( implies(implies(X1,not(truth)),not(truth)) = X1 ),
% 0.70/1.15 inference(reduction,[status(thm)],['0.22.0.0','0.1.2.0',theory(equality)]),
% 0.70/1.15 [pos('R','L')]).
% 0.70/1.15 cnf('0.22.1.0',plain,
% 0.70/1.15 ( implies(implies(X1,not(truth)),not(truth)) = X1 ),
% 0.70/1.15 inference(weigh,[status(thm)],['0.22.0.1']),
% 0.70/1.15 [weight('<71,18,2,[0,0,0,1]>')]).
% 0.70/1.15 cnf('0.22.2.0',plain,
% 0.70/1.15 ( implies(implies(X1,not(truth)),not(truth)) = X1 ),
% 0.70/1.15 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.70/1.15 [u,rule_21]).
% 0.70/1.15 cnf('0.23.0.0',plain,
% 0.70/1.15 ( truth = implies(implies(not(not(truth)),not(implies(X1,not(truth)))),X1) ),
% 0.70/1.15 inference(cp,[status(thm)],['0.4.2.0','0.22.2.0',theory(equality)]),
% 0.70/1.15 [pos('L.2','L')]).
% 0.70/1.15 cnf('0.23.0.1',plain,
% 0.70/1.15 ( truth = implies(implies(truth,not(implies(X1,not(truth)))),X1) ),
% 0.70/1.15 inference(reduction,[status(thm)],['0.23.0.0','0.19.2.0',theory(equality)]),
% 0.70/1.15 [pos('R.1.1','L')]).
% 0.70/1.15 cnf('0.23.0.2',plain,
% 0.70/1.15 ( truth = implies(not(implies(X1,not(truth))),X1) ),
% 0.70/1.15 inference(reduction,[status(thm)],['0.23.0.1','0.1.2.0',theory(equality)]),
% 0.70/1.15 [pos('R.1','L')]).
% 0.70/1.15 cnf('0.23.1.0',plain,
% 0.70/1.15 ( truth = implies(not(implies(X1,not(truth))),X1) ),
% 0.70/1.15 inference(weigh,[status(thm)],['0.23.0.2']),
% 0.70/1.15 [weight('<71,22,4,[0,0,0,6]>')]).
% 0.70/1.15 cnf('0.23.2.0',plain,
% 0.70/1.15 ( implies(not(implies(X1,not(truth))),X1) = truth ),
% 0.70/1.15 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.70/1.15 [x,rule_22]).
% 0.70/1.15 cnf('0.24.0.0',plain,
% 0.70/1.15 ( truth = implies(truth,implies(X1,implies(not(X1),not(truth)))) ),
% 0.70/1.15 inference(cp,[status(thm)],['0.4.2.0','0.23.2.0',theory(equality)]),
% 0.70/1.15 [pos('L.1','L')]).
% 0.70/1.15 cnf('0.24.0.1',plain,
% 0.70/1.15 ( truth = implies(X1,implies(not(X1),not(truth))) ),
% 0.70/1.15 inference(reduction,[status(thm)],['0.24.0.0','0.1.2.0',theory(equality)]),
% 0.70/1.15 [pos('R','L')]).
% 0.70/1.15 cnf('0.24.1.0',plain,
% 0.70/1.15 ( truth = implies(X1,implies(not(X1),not(truth))) ),
% 0.70/1.15 inference(weigh,[status(thm)],['0.24.0.1']),
% 0.70/1.15 [weight('<71,23,4,[0,0,0,1]>')]).
% 0.70/1.15 cnf('0.24.2.0',plain,
% 0.70/1.15 ( implies(X1,implies(not(X1),not(truth))) = truth ),
% 0.70/1.15 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.70/1.15 [x,rule_23]).
% 0.70/1.15 cnf('0.25.0.0',plain,
% 0.70/1.15 ( implies(implies(implies(not(X1),not(truth)),X1),X1) = implies(truth,implies(not(X1),not(truth))) ),
% 0.70/1.15 inference(cp,[status(thm)],['0.2.2.0','0.24.2.0',theory(equality)]),
% 0.70/1.15 [pos('L.1','L')]).
% 0.70/1.15 cnf('0.25.0.1',plain,
% 0.70/1.15 ( implies(truth,X1) = implies(truth,implies(not(X1),not(truth))) ),
% 0.70/1.15 inference(reduction,[status(thm)],['0.25.0.0','0.7.2.0',theory(equality)]),
% 0.70/1.15 [pos('L.1','L')]).
% 0.70/1.15 cnf('0.25.0.2',plain,
% 0.70/1.15 ( X1 = implies(truth,implies(not(X1),not(truth))) ),
% 0.70/1.15 inference(reduction,[status(thm)],['0.25.0.1','0.1.2.0',theory(equality)]),
% 0.70/1.15 [pos('L','L')]).
% 0.70/1.15 cnf('0.25.0.3',plain,
% 0.70/1.15 ( X1 = implies(not(X1),not(truth)) ),
% 0.70/1.15 inference(reduction,[status(thm)],['0.25.0.2','0.1.2.0',theory(equality)]),
% 0.70/1.15 [pos('R','L')]).
% 0.70/1.15 cnf('0.25.1.0',plain,
% 0.70/1.15 ( X1 = implies(not(X1),not(truth)) ),
% 0.70/1.15 inference(weigh,[status(thm)],['0.25.0.3']),
% 0.70/1.15 [weight('<41,24,2,[0,0,0,1]>')]).
% 0.70/1.15 cnf('0.25.2.0',plain,
% 0.70/1.15 ( implies(not(X1),not(truth)) = X1 ),
% 0.70/1.15 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.70/1.15 [x,rule_24]).
% 0.70/1.15 cnf('0.26.0.0',plain,
% 0.70/1.15 ( implies(implies(not(truth),not(X1)),not(X1)) = implies(X1,not(truth)) ),
% 0.70/1.15 inference(cp,[status(thm)],['0.2.2.0','0.25.2.0',theory(equality)]),
% 0.70/1.15 [pos('L.1','L')]).
% 0.70/1.15 cnf('0.26.0.1',plain,
% 0.70/1.15 ( implies(truth,not(X1)) = implies(X1,not(truth)) ),
% 0.70/1.15 inference(reduction,[status(thm)],['0.26.0.0','0.18.2.0',theory(equality)]),
% 0.70/1.15 [pos('L.1','L')]).
% 0.70/1.15 cnf('0.26.0.2',plain,
% 0.70/1.15 ( not(X1) = implies(X1,not(truth)) ),
% 0.70/1.15 inference(reduction,[status(thm)],['0.26.0.1','0.1.2.0',theory(equality)]),
% 0.70/1.15 [pos('L','L')]).
% 0.70/1.15 cnf('0.26.1.0',plain,
% 0.70/1.15 ( not(X1) = implies(X1,not(truth)) ),
% 0.70/1.15 inference(weigh,[status(thm)],['0.26.0.2']),
% 0.70/1.15 [weight('<34,25,2,[0,0,0,1]>')]).
% 0.70/1.15 cnf('0.26.2.0',plain,
% 0.70/1.15 ( implies(X1,not(truth)) = not(X1) ),
% 0.70/1.15 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.70/1.15 [x,rule_25]).
% 0.70/1.15 cnf('0.27.0.0',plain,
% 0.70/1.15 ( implies(implies(X1,not(truth)),not(truth)) = X1 ),
% 0.70/1.15 inference(interreduction_right,[status(thm)],['0.22.2.0'])).
% 0.70/1.15 cnf('0.27.0.1',plain,
% 0.70/1.15 ( not(implies(X1,not(truth))) = X1 ),
% 0.70/1.15 inference(reduction,[status(thm)],['0.27.0.0','0.26.2.0',theory(equality)]),
% 0.70/1.15 [pos('L','L')]).
% 0.70/1.15 cnf('0.27.0.2',plain,
% 0.70/1.15 ( not(not(X1)) = X1 ),
% 0.70/1.15 inference(reduction,[status(thm)],['0.27.0.1','0.26.2.0',theory(equality)]),
% 0.70/1.15 [pos('L.1','L')]).
% 0.70/1.15 cnf('0.27.1.0',plain,
% 0.70/1.15 ( not(not(X1)) = X1 ),
% 0.70/1.15 inference(weigh,[status(thm)],['0.27.0.2']),
% 0.70/1.15 [weight('<19,22,26,[0,0,0,0]>')]).
% 0.70/1.15 cnf('0.27.2.0',plain,
% 0.70/1.15 ( not(not(X1)) = X1 ),
% 0.70/1.15 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.70/1.15 [u,rule_26]).
% 0.70/1.15 cnf('0.32.0.0',plain,
% 0.70/1.15 ( truth = implies(implies(X1,X2),implies(truth,implies(X1,implies(X3,X2)))) ),
% 0.70/1.15 inference(cp,[status(thm)],['0.3.2.0','0.12.2.0',theory(equality)]),
% 0.70/1.15 [pos('L.2.1','L')]).
% 0.70/1.15 cnf('0.32.0.1',plain,
% 0.70/1.15 ( truth = implies(implies(X1,X2),implies(X1,implies(X3,X2))) ),
% 0.70/1.15 inference(reduction,[status(thm)],['0.32.0.0','0.1.2.0',theory(equality)]),
% 0.70/1.15 [pos('R.2','L')]).
% 0.70/1.15 cnf('0.32.1.0',plain,
% 0.70/1.15 ( truth = implies(implies(X1,X2),implies(X1,implies(X3,X2))) ),
% 0.70/1.15 inference(weigh,[status(thm)],['0.32.0.1']),
% 0.70/1.15 [weight('<109,12,3,[0,0,0,5]>')]).
% 0.70/1.15 cnf('0.32.2.0',plain,
% 0.70/1.15 ( implies(implies(X1,X2),implies(X1,implies(X3,X2))) = truth ),
% 0.70/1.15 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.70/1.15 [x,rule_31]).
% 0.70/1.15 cnf('0.37.0.0',plain,
% 0.70/1.15 ( truth = implies(X1,implies(X2,implies(implies(X1,X3),X3))) ),
% 0.70/1.15 inference(cp,[status(thm)],['0.21.2.0','0.2.2.0',theory(equality)]),
% 0.70/1.15 [pos('L.2.2','L')]).
% 0.70/1.15 cnf('0.37.1.0',plain,
% 0.70/1.15 ( truth = implies(X1,implies(X2,implies(implies(X1,X3),X3))) ),
% 0.70/1.15 inference(weigh,[status(thm)],['0.37.0.0']),
% 0.70/1.15 [weight('<109,21,2,[1,0,0,4]>')]).
% 0.70/1.15 cnf('0.37.2.0',plain,
% 0.70/1.15 ( implies(X1,implies(X2,implies(implies(X1,X3),X3))) = truth ),
% 0.70/1.15 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.70/1.15 [x,rule_36]).
% 0.70/1.15 cnf('0.39.0.0',plain,
% 0.70/1.15 ( truth = implies(implies(X1,X2),implies(not(X2),implies(X1,not(truth)))) ),
% 0.70/1.15 inference(cp,[status(thm)],['0.3.2.0','0.26.2.0',theory(equality)]),
% 0.70/1.15 [pos('L.2.1','L')]).
% 0.70/1.15 cnf('0.39.0.1',plain,
% 0.70/1.15 ( truth = implies(implies(X1,X2),implies(not(X2),not(X1))) ),
% 0.70/1.15 inference(reduction,[status(thm)],['0.39.0.0','0.26.2.0',theory(equality)]),
% 0.70/1.15 [pos('R.2.2','L')]).
% 0.70/1.15 cnf('0.39.1.0',plain,
% 0.70/1.15 ( truth = implies(implies(X1,X2),implies(not(X2),not(X1))) ),
% 0.70/1.15 inference(weigh,[status(thm)],['0.39.0.1']),
% 0.70/1.15 [weight('<109,26,3,[0,0,0,5]>')]).
% 0.70/1.15 cnf('0.39.2.0',plain,
% 0.70/1.15 ( implies(implies(X1,X2),implies(not(X2),not(X1))) = truth ),
% 0.70/1.15 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 0.70/1.15 [x,rule_38]).
% 0.70/1.15 cnf('0.40.0.0',plain,
% 0.70/1.15 ( implies(implies(implies(not(X1),not(X2)),implies(X2,X1)),implies(X2,X1)) = implies(truth,implies(not(X1),not(X2))) ),
% 0.70/1.15 inference(cp,[status(thm)],['0.2.2.0','0.39.2.0',theory(equality)]),
% 0.70/1.15 [pos('L.1','L')]).
% 0.70/1.15 cnf('0.40.0.1',plain,
% 0.70/1.15 ( implies(truth,implies(X2,X1)) = implies(truth,implies(not(X1),not(X2))) ),
% 0.70/1.15 inference(reduction,[status(thm)],['0.40.0.0','0.4.2.0',theory(equality)]),
% 0.70/1.15 [pos('L.1','L')]).
% 0.70/1.15 cnf('0.40.0.2',plain,
% 0.70/1.15 ( implies(X2,X1) = implies(truth,implies(not(X1),not(X2))) ),
% 0.70/1.15 inference(reduction,[status(thm)],['0.40.0.1','0.1.2.0',theory(equality)]),
% 0.70/1.15 [pos('L','L')]).
% 0.70/1.15 cnf('0.40.0.3',plain,
% 0.70/1.15 ( implies(X2,X1) = implies(not(X1),not(X2)) ),
% 0.70/1.15 inference(reduction,[status(thm)],['0.40.0.2','0.1.2.0',theory(equality)]),
% 0.70/1.15 [pos('R','L')]).
% 0.70/1.15 cnf('0.40.1.0',plain,
% 0.70/1.15 ( implies(X2,X1) = implies(not(X1),not(X2)) ),
% 0.70/1.15 inference(weigh,[status(thm)],['0.40.0.3']),
% 0.70/1.15 [weight('<53,39,2,[0,0,0,1]>')]).
% 0.70/1.15 cnf('0.40.2.0',plain,
% 0.70/1.15 ( implies(not(X1),not(X2)) = implies(X2,X1) ),
% 0.70/1.15 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 0.70/1.15 [x,rule_39]).
% 0.70/1.15 cnf('0.42.0.0',plain,
% 0.70/1.15 ( implies(X1,not(X2)) = implies(X2,not(X1)) ),
% 0.70/1.15 inference(cp,[status(thm)],['0.40.2.0','0.27.2.0',theory(equality)]),
% 0.70/1.15 [pos('L.1','L')]).
% 0.70/1.15 cnf('0.42.1.0',plain,
% 0.70/1.15 ( implies(X1,not(X2)) = implies(X2,not(X1)) ),
% 0.70/1.15 inference(weigh,[status(thm)],['0.42.0.0']),
% 0.70/1.15 [weight('<80,40,27,[1,0,0,1]>')]).
% 0.70/1.15 cnf('0.42.2.0',plain,
% 0.70/1.15 ( implies(X1,not(X2)) = implies(X2,not(X1)) ),
% 0.70/1.15 inference(activate,[status(thm)],['0.42.1.0']),
% 0.70/1.15 [equation_2]).
% 0.70/1.15 cnf('0.43.0.0',plain,
% 0.70/1.15 ( implies(not(X1),X2) = implies(not(X2),X1) ),
% 0.70/1.15 inference(cp,[status(thm)],['0.40.2.0','0.27.2.0',theory(equality)]),
% 0.70/1.15 [pos('L.2','L')]).
% 0.70/1.15 cnf('0.43.1.0',plain,
% 0.70/1.15 ( implies(not(X1),X2) = implies(not(X2),X1) ),
% 0.70/1.15 inference(weigh,[status(thm)],['0.43.0.0']),
% 0.70/1.15 [weight('<80,40,27,[1,0,0,3]>')]).
% 0.70/1.15 cnf('0.43.2.0',plain,
% 0.70/1.15 ( implies(not(X1),X2) = implies(not(X2),X1) ),
% 0.70/1.15 inference(activate,[status(thm)],['0.43.1.0']),
% 0.70/1.15 [equation_3]).
% 0.70/1.15 cnf('0.54.0.0',plain,
% 0.70/1.15 ( implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X3,X1)),implies(X3,X1)) = implies(truth,implies(implies(X1,X2),implies(X3,X2))) ),
% 0.70/1.15 inference(cp,[status(thm)],['0.2.2.0','0.3.2.0',theory(equality)]),
% 0.70/1.15 [pos('L.1','L')]).
% 0.70/1.15 cnf('0.54.0.1',plain,
% 0.70/1.16 ( implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X3,X1)),implies(X3,X1)) = implies(implies(X1,X2),implies(X3,X2)) ),
% 0.70/1.16 inference(reduction,[status(thm)],['0.54.0.0','0.1.2.0',theory(equality)]),
% 0.70/1.16 [pos('R','L')]).
% 0.70/1.16 cnf('0.54.1.0',plain,
% 0.70/1.16 ( implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X3,X1)),implies(X3,X1)) = implies(implies(X1,X2),implies(X3,X2)) ),
% 0.70/1.16 inference(weigh,[status(thm)],['0.54.0.1']),
% 0.70/1.16 [weight('<?,3,2,[0,0,0,1]>')]).
% 0.70/1.16 cnf('0.54.2.0',plain,
% 0.70/1.16 ( implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X3,X1)),implies(X3,X1)) = implies(implies(X1,X2),implies(X3,X2)) ),
% 0.70/1.16 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 0.70/1.16 [u,rule_51]).
% 0.70/1.16 cnf('0.93.0.0',plain,
% 0.70/1.16 ( implies(X1,not(implies(implies(not(X1),X2),X2))) = implies(X2,not(X1)) ),
% 0.70/1.16 inference(cp,[status(thm)],['0.42.2.0','0.15.2.0',theory(equality)]),
% 0.70/1.16 [pos('L','L')]).
% 0.70/1.16 cnf('0.93.1.0',plain,
% 0.70/1.16 ( implies(X1,not(implies(implies(not(X1),X2),X2))) = implies(X2,not(X1)) ),
% 0.70/1.16 inference(weigh,[status(thm)],['0.93.0.0']),
% 0.70/1.16 [weight('<139,42,15,[1,0,0,0]>')]).
% 0.70/1.16 cnf('0.93.2.0',plain,
% 0.70/1.16 ( implies(X1,not(implies(implies(not(X1),X2),X2))) = implies(X2,not(X1)) ),
% 0.70/1.16 inference(orient,[status(thm)],['0.93.1.0',theory(equality)]),
% 0.70/1.16 [u,rule_90]).
% 0.70/1.16 cnf('0.96.0.0',plain,
% 0.70/1.16 ( truth = implies(truth,implies(implies(implies(implies(X1,X2),X2),X3),implies(X1,X3))) ),
% 0.70/1.16 inference(cp,[status(thm)],['0.3.2.0','0.5.2.0',theory(equality)]),
% 0.70/1.16 [pos('L.1','L')]).
% 0.70/1.16 cnf('0.96.0.1',plain,
% 0.70/1.16 ( truth = implies(implies(implies(implies(X1,X2),X2),X3),implies(X1,X3)) ),
% 0.70/1.16 inference(reduction,[status(thm)],['0.96.0.0','0.1.2.0',theory(equality)]),
% 0.70/1.16 [pos('R','L')]).
% 0.70/1.16 cnf('0.96.1.0',plain,
% 0.70/1.16 ( truth = implies(implies(implies(implies(X1,X2),X2),X3),implies(X1,X3)) ),
% 0.70/1.16 inference(weigh,[status(thm)],['0.96.0.1']),
% 0.70/1.16 [weight('<155,5,3,[0,0,0,1]>')]).
% 0.70/1.16 cnf('0.96.2.0',plain,
% 0.70/1.16 ( implies(implies(implies(implies(X1,X2),X2),X3),implies(X1,X3)) = truth ),
% 0.70/1.16 inference(orient,[status(thm)],['0.96.1.0',theory(equality)]),
% 0.70/1.16 [x,rule_93]).
% 0.70/1.16 cnf('0.141.0.0',plain,
% 0.70/1.16 ( truth = implies(X1,implies(implies(X2,X3),implies(implies(X1,X2),X3))) ),
% 0.70/1.16 inference(cp,[status(thm)],['0.37.2.0','0.54.2.0',theory(equality)]),
% 0.70/1.16 [pos('L.2','L')]).
% 0.70/1.16 cnf('0.141.1.0',plain,
% 0.70/1.16 ( truth = implies(X1,implies(implies(X2,X3),implies(implies(X1,X2),X3))) ),
% 0.70/1.16 inference(weigh,[status(thm)],['0.141.0.0']),
% 0.70/1.16 [weight('<155,54,37,[0,0,0,2]>')]).
% 0.70/1.16 cnf('0.141.2.0',plain,
% 0.70/1.16 ( implies(X1,implies(implies(X2,X3),implies(implies(X1,X2),X3))) = truth ),
% 0.70/1.16 inference(orient,[status(thm)],['0.141.1.0',theory(equality)]),
% 0.70/1.16 [x,rule_138]).
% 0.70/1.16 cnf('0.156.0.0',plain,
% 0.70/1.16 ( truth = implies(implies(X1,implies(X2,X3)),implies(implies(implies(X3,X2),X2),implies(X1,X3))) ),
% 0.70/1.16 inference(cp,[status(thm)],['0.3.2.0','0.2.2.0',theory(equality)]),
% 0.70/1.16 [pos('L.2.1','L')]).
% 0.70/1.16 cnf('0.156.1.0',plain,
% 0.70/1.16 ( truth = implies(implies(X1,implies(X2,X3)),implies(implies(implies(X3,X2),X2),implies(X1,X3))) ),
% 0.70/1.16 inference(weigh,[status(thm)],['0.156.0.0']),
% 0.70/1.16 [weight('<?,3,2,[1,0,0,5]>')]).
% 0.70/1.16 cnf('0.156.2.0',plain,
% 0.70/1.16 ( implies(implies(X1,implies(X2,X3)),implies(implies(implies(X3,X2),X2),implies(X1,X3))) = truth ),
% 0.70/1.16 inference(orient,[status(thm)],['0.156.1.0',theory(equality)]),
% 0.70/1.16 [x,rule_153]).
% 0.70/1.16 cnf('0.182.0.0',plain,
% 0.70/1.16 ( truth = implies(truth,implies(implies(implies(implies(implies(X1,X2),X3),implies(X2,X3)),implies(X2,X3)),implies(X1,implies(implies(X1,X2),X3)))) ),
% 0.70/1.16 inference(cp,[status(thm)],['0.156.2.0','0.141.2.0',theory(equality)]),
% 0.70/1.16 [pos('L.1','L')]).
% 0.70/1.16 cnf('0.182.0.1',plain,
% 0.70/1.16 ( truth = implies(implies(implies(implies(implies(X1,X2),X3),implies(X2,X3)),implies(X2,X3)),implies(X1,implies(implies(X1,X2),X3))) ),
% 0.70/1.16 inference(reduction,[status(thm)],['0.182.0.0','0.1.2.0',theory(equality)]),
% 0.70/1.16 [pos('R','L')]).
% 0.70/1.16 cnf('0.182.0.2',plain,
% 0.70/1.16 ( truth = implies(implies(truth,implies(X2,X3)),implies(X1,implies(implies(X1,X2),X3))) ),
% 0.70/1.16 inference(reduction,[status(thm)],['0.182.0.1','0.17.2.0',theory(equality)]),
% 0.70/1.16 [pos('R.1.1','L')]).
% 0.70/1.16 cnf('0.182.0.3',plain,
% 0.70/1.16 ( truth = implies(implies(X2,X3),implies(X1,implies(implies(X1,X2),X3))) ),
% 0.70/1.16 inference(reduction,[status(thm)],['0.182.0.2','0.1.2.0',theory(equality)]),
% 0.70/1.16 [pos('R.1','L')]).
% 0.70/1.16 cnf('0.182.1.0',plain,
% 0.70/1.16 ( truth = implies(implies(X2,X3),implies(X1,implies(implies(X1,X2),X3))) ),
% 0.70/1.16 inference(weigh,[status(thm)],['0.182.0.3']),
% 0.70/1.16 [weight('<155,156,141,[1,0,0,1]>')]).
% 0.70/1.16 cnf('0.182.2.0',plain,
% 0.70/1.16 ( implies(implies(X1,X2),implies(X3,implies(implies(X3,X1),X2))) = truth ),
% 0.70/1.16 inference(orient,[status(thm)],['0.182.1.0',theory(equality)]),
% 0.70/1.16 [x,rule_179]).
% 0.70/1.16 cnf('0.183.0.0',plain,
% 0.70/1.16 ( truth = implies(truth,implies(X1,implies(X2,implies(implies(X2,implies(X1,X3)),X3)))) ),
% 0.70/1.16 inference(cp,[status(thm)],['0.96.2.0','0.182.2.0',theory(equality)]),
% 0.70/1.16 [pos('L.1','L')]).
% 0.70/1.16 cnf('0.183.0.1',plain,
% 0.70/1.16 ( truth = implies(X1,implies(X2,implies(implies(X2,implies(X1,X3)),X3))) ),
% 0.70/1.16 inference(reduction,[status(thm)],['0.183.0.0','0.1.2.0',theory(equality)]),
% 0.70/1.16 [pos('R','L')]).
% 0.70/1.16 cnf('0.183.1.0',plain,
% 0.70/1.16 ( truth = implies(X1,implies(X2,implies(implies(X2,implies(X1,X3)),X3))) ),
% 0.70/1.16 inference(weigh,[status(thm)],['0.183.0.1']),
% 0.70/1.16 [weight('<155,182,96,[0,0,0,1]>')]).
% 0.70/1.16 cnf('0.183.2.0',plain,
% 0.70/1.16 ( implies(X1,implies(X2,implies(implies(X2,implies(X1,X3)),X3))) = truth ),
% 0.70/1.16 inference(orient,[status(thm)],['0.183.1.0',theory(equality)]),
% 0.70/1.16 [x,rule_180]).
% 0.70/1.16 cnf('0.184.0.0',plain,
% 0.70/1.16 ( truth = implies(implies(X1,X2),implies(implies(X3,X1),implies(truth,implies(X3,X2)))) ),
% 0.70/1.16 inference(cp,[status(thm)],['0.183.2.0','0.3.2.0',theory(equality)]),
% 0.70/1.16 [pos('L.2.2.1','L')]).
% 0.70/1.16 cnf('0.184.0.1',plain,
% 0.70/1.16 ( truth = implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))) ),
% 0.70/1.16 inference(reduction,[status(thm)],['0.184.0.0','0.1.2.0',theory(equality)]),
% 0.70/1.16 [pos('R.2.2','L')]).
% 0.70/1.16 cnf('0.184.1.0',plain,
% 0.70/1.16 ( truth = implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))) ),
% 0.70/1.16 inference(weigh,[status(thm)],['0.184.0.1']),
% 0.70/1.16 [weight('<155,183,3,[1,0,0,5]>')]).
% 0.70/1.16 cnf('0.184.2.0',plain,
% 0.70/1.16 ( implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))) = truth ),
% 0.70/1.16 inference(orient,[status(thm)],['0.184.1.0',theory(equality)]),
% 0.70/1.16 [x,rule_181]).
% 0.70/1.16 cnf('0.187.0.0',plain,
% 0.70/1.16 ( truth = implies(truth,implies(X1,implies(implies(X2,implies(X1,X3)),implies(X2,X3)))) ),
% 0.70/1.16 inference(cp,[status(thm)],['0.96.2.0','0.184.2.0',theory(equality)]),
% 0.70/1.16 [pos('L.1','L')]).
% 0.70/1.16 cnf('0.187.0.1',plain,
% 0.70/1.16 ( truth = implies(X1,implies(implies(X2,implies(X1,X3)),implies(X2,X3))) ),
% 0.70/1.16 inference(reduction,[status(thm)],['0.187.0.0','0.1.2.0',theory(equality)]),
% 0.70/1.16 [pos('R','L')]).
% 0.70/1.16 cnf('0.187.1.0',plain,
% 0.70/1.16 ( truth = implies(X1,implies(implies(X2,implies(X1,X3)),implies(X2,X3))) ),
% 0.70/1.16 inference(weigh,[status(thm)],['0.187.0.1']),
% 0.70/1.16 [weight('<155,184,96,[0,0,0,1]>')]).
% 0.70/1.16 cnf('0.187.2.0',plain,
% 0.70/1.16 ( implies(X1,implies(implies(X2,implies(X1,X3)),implies(X2,X3))) = truth ),
% 0.70/1.16 inference(orient,[status(thm)],['0.187.1.0',theory(equality)]),
% 0.70/1.16 [x,rule_184]).
% 0.70/1.16 cnf('0.188.0.0',plain,
% 0.70/1.16 ( truth = implies(truth,implies(implies(implies(implies(X1,X2),implies(X1,implies(X3,X2))),implies(X1,implies(X3,X2))),implies(X3,implies(X1,X2)))) ),
% 0.70/1.16 inference(cp,[status(thm)],['0.156.2.0','0.187.2.0',theory(equality)]),
% 0.70/1.16 [pos('L.1','L')]).
% 0.70/1.16 cnf('0.188.0.1',plain,
% 0.70/1.16 ( truth = implies(implies(implies(implies(X1,X2),implies(X1,implies(X3,X2))),implies(X1,implies(X3,X2))),implies(X3,implies(X1,X2))) ),
% 0.70/1.16 inference(reduction,[status(thm)],['0.188.0.0','0.1.2.0',theory(equality)]),
% 0.70/1.16 [pos('R','L')]).
% 0.70/1.16 cnf('0.188.0.2',plain,
% 0.70/1.16 ( truth = implies(implies(truth,implies(X1,implies(X3,X2))),implies(X3,implies(X1,X2))) ),
% 0.70/1.16 inference(reduction,[status(thm)],['0.188.0.1','0.32.2.0',theory(equality)]),
% 0.70/1.16 [pos('R.1.1','L')]).
% 0.70/1.16 cnf('0.188.0.3',plain,
% 0.70/1.16 ( truth = implies(implies(X1,implies(X3,X2)),implies(X3,implies(X1,X2))) ),
% 0.70/1.16 inference(reduction,[status(thm)],['0.188.0.2','0.1.2.0',theory(equality)]),
% 0.70/1.16 [pos('R.1','L')]).
% 0.70/1.16 cnf('0.188.1.0',plain,
% 0.70/1.16 ( truth = implies(implies(X1,implies(X3,X2)),implies(X3,implies(X1,X2))) ),
% 0.70/1.16 inference(weigh,[status(thm)],['0.188.0.3']),
% 0.70/1.16 [weight('<155,187,156,[0,0,0,1]>')]).
% 0.70/1.16 cnf('0.188.2.0',plain,
% 0.70/1.16 ( implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3))) = truth ),
% 0.70/1.16 inference(orient,[status(thm)],['0.188.1.0',theory(equality)]),
% 0.70/1.16 [x,rule_185]).
% 0.70/1.16 cnf('0.189.0.0',plain,
% 0.70/1.16 ( implies(implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3))),implies(X2,implies(X1,X3))) = implies(truth,implies(X1,implies(X2,X3))) ),
% 0.70/1.16 inference(cp,[status(thm)],['0.2.2.0','0.188.2.0',theory(equality)]),
% 0.70/1.16 [pos('L.1','L')]).
% 0.70/1.16 cnf('0.189.0.1',plain,
% 0.70/1.16 ( implies(truth,implies(X2,implies(X1,X3))) = implies(truth,implies(X1,implies(X2,X3))) ),
% 0.70/1.16 inference(reduction,[status(thm)],['0.189.0.0','0.188.2.0',theory(equality)]),
% 0.70/1.16 [pos('L.1','L')]).
% 0.70/1.16 cnf('0.189.0.2',plain,
% 0.70/1.16 ( implies(X2,implies(X1,X3)) = implies(truth,implies(X1,implies(X2,X3))) ),
% 0.70/1.16 inference(reduction,[status(thm)],['0.189.0.1','0.1.2.0',theory(equality)]),
% 0.70/1.16 [pos('L','L')]).
% 0.70/1.16 cnf('0.189.0.3',plain,
% 0.70/1.16 ( implies(X2,implies(X1,X3)) = implies(X1,implies(X2,X3)) ),
% 0.70/1.16 inference(reduction,[status(thm)],['0.189.0.2','0.1.2.0',theory(equality)]),
% 0.70/1.16 [pos('R','L')]).
% 0.70/1.16 cnf('0.189.1.0',plain,
% 0.70/1.16 ( implies(X2,implies(X1,X3)) = implies(X1,implies(X2,X3)) ),
% 0.70/1.16 inference(weigh,[status(thm)],['0.189.0.3']),
% 0.70/1.16 [weight('<120,188,2,[0,0,0,1]>')]).
% 0.70/1.16 cnf('0.189.2.0',plain,
% 0.70/1.16 ( implies(X1,implies(X2,X3)) = implies(X2,implies(X1,X3)) ),
% 0.70/1.16 inference(activate,[status(thm)],['0.189.1.0']),
% 0.70/1.16 [equation_4]).
% 0.70/1.16 cnf('0.190.0.0',plain,
% 0.70/1.16 ( implies(X1,implies(not(X2),X3)) = implies(not(implies(X1,X3)),X2) ),
% 0.70/1.16 inference(cp,[status(thm)],['0.189.2.0','0.43.2.0',theory(equality)]),
% 0.70/1.16 [pos('L','L')]).
% 0.70/1.16 cnf('0.190.1.0',plain,
% 0.70/1.16 ( implies(X1,implies(not(X2),X3)) = implies(not(implies(X1,X3)),X2) ),
% 0.70/1.16 inference(weigh,[status(thm)],['0.190.0.0']),
% 0.70/1.16 [weight('<90,189,43,[1,0,0,0]>')]).
% 0.70/1.16 cnf('0.190.2.0',plain,
% 0.70/1.16 ( implies(not(implies(X1,X2)),X3) = implies(X1,implies(not(X3),X2)) ),
% 0.70/1.16 inference(orient,[status(thm)],['0.190.1.0',theory(equality)]),
% 0.70/1.16 [x,rule_186]).
% 0.70/1.16 cnf('0.195.0.0',plain,
% 0.70/1.16 ( implies(implies(not(X1),not(X2)),not(X2)) = implies(implies(X1,X2),not(X1)) ),
% 0.70/1.16 inference(cp,[status(thm)],['0.2.2.0','0.40.2.0',theory(equality)]),
% 0.70/1.16 [pos('L.1','L')]).
% 0.70/1.16 cnf('0.195.0.1',plain,
% 0.70/1.16 ( implies(implies(X2,X1),not(X2)) = implies(implies(X1,X2),not(X1)) ),
% 0.70/1.16 inference(reduction,[status(thm)],['0.195.0.0','0.40.2.0',theory(equality)]),
% 0.70/1.16 [pos('L.1','L')]).
% 0.70/1.16 cnf('0.195.1.0',plain,
% 0.70/1.16 ( implies(implies(X2,X1),not(X2)) = implies(implies(X1,X2),not(X1)) ),
% 0.70/1.16 inference(weigh,[status(thm)],['0.195.0.1']),
% 0.70/1.16 [weight('<168,40,2,[0,0,0,1]>')]).
% 0.70/1.16 cnf('0.195.1.1',plain,
% 0.70/1.16 ( implies(X2,not(implies(X2,X1))) = implies(implies(X1,X2),not(X1)) ),
% 0.70/1.16 inference(reduction,[status(thm)],['0.195.1.0','0.42.2.0',theory(equality)]),
% 0.70/1.16 [pos('L','L')]).
% 0.70/1.16 cnf('0.195.1.2',plain,
% 0.70/1.16 ( implies(X2,not(implies(X2,X1))) = implies(X1,not(implies(X1,X2))) ),
% 0.70/1.16 inference(reduction,[status(thm)],['0.195.1.1','0.42.2.0',theory(equality)]),
% 0.70/1.16 [pos('R','L')]).
% 0.70/1.16 cnf('0.195.2.0',plain,
% 0.70/1.16 ( implies(X1,not(implies(X1,X2))) = implies(X2,not(implies(X2,X1))) ),
% 0.70/1.16 inference(activate,[status(thm)],['0.195.1.2']),
% 0.70/1.16 [equation_5]).
% 0.70/1.16 cnf('0.196.0.0',plain,
% 0.70/1.16 ( implies(X1,not(implies(X1,implies(X2,X1)))) = implies(implies(X2,X1),not(implies(implies(X1,X2),X2))) ),
% 0.70/1.16 inference(cp,[status(thm)],['0.195.2.0','0.2.2.0',theory(equality)]),
% 0.70/1.16 [pos('L.2.1','L')]).
% 0.70/1.16 cnf('0.196.0.1',plain,
% 0.70/1.16 ( implies(X1,not(truth)) = implies(implies(X2,X1),not(implies(implies(X1,X2),X2))) ),
% 0.70/1.16 inference(reduction,[status(thm)],['0.196.0.0','0.12.2.0',theory(equality)]),
% 0.70/1.16 [pos('L.2.1','L')]).
% 0.70/1.16 cnf('0.196.0.2',plain,
% 0.70/1.16 ( not(X1) = implies(implies(X2,X1),not(implies(implies(X1,X2),X2))) ),
% 0.70/1.16 inference(reduction,[status(thm)],['0.196.0.1','0.26.2.0',theory(equality)]),
% 0.70/1.16 [pos('L','L')]).
% 0.70/1.16 cnf('0.196.1.0',plain,
% 0.70/1.16 ( not(X1) = implies(implies(X2,X1),not(implies(implies(X1,X2),X2))) ),
% 0.70/1.16 inference(weigh,[status(thm)],['0.196.0.2']),
% 0.70/1.16 [weight('<142,195,2,[1,0,0,3]>')]).
% 0.70/1.16 cnf('0.196.2.0',plain,
% 0.70/1.16 ( implies(implies(X1,X2),not(implies(implies(X2,X1),X1))) = not(X2) ),
% 0.70/1.16 inference(orient,[status(thm)],['0.196.1.0',theory(equality)]),
% 0.70/1.16 [x,rule_191]).
% 0.70/1.16 cnf('0.206.0.0',plain,
% 0.70/1.16 ( implies(X1,implies(not(X2),not(implies(implies(not(X1),X3),X3)))) = implies(not(implies(X3,not(X1))),X2) ),
% 0.70/1.16 inference(cp,[status(thm)],['0.190.2.0','0.93.2.0',theory(equality)]),
% 0.70/1.16 [pos('L.1.1','L')]).
% 0.70/1.16 cnf('0.206.0.1',plain,
% 0.70/1.16 ( implies(X1,implies(implies(implies(not(X1),X3),X3),X2)) = implies(not(implies(X3,not(X1))),X2) ),
% 0.70/1.16 inference(reduction,[status(thm)],['0.206.0.0','0.40.2.0',theory(equality)]),
% 0.70/1.16 [pos('L.2','L')]).
% 0.70/1.16 cnf('0.206.0.2',plain,
% 0.70/1.16 ( implies(X1,implies(implies(implies(not(X1),X3),X3),X2)) = implies(X3,implies(not(X2),not(X1))) ),
% 0.70/1.16 inference(reduction,[status(thm)],['0.206.0.1','0.190.2.0',theory(equality)]),
% 0.70/1.16 [pos('R','L')]).
% 0.70/1.16 cnf('0.206.0.3',plain,
% 0.70/1.16 ( implies(X1,implies(implies(implies(not(X1),X3),X3),X2)) = implies(X3,implies(X1,X2)) ),
% 0.70/1.16 inference(reduction,[status(thm)],['0.206.0.2','0.40.2.0',theory(equality)]),
% 0.70/1.16 [pos('R.2','L')]).
% 0.70/1.16 cnf('0.206.1.0',plain,
% 0.70/1.16 ( implies(X1,implies(implies(implies(not(X1),X3),X3),X2)) = implies(X3,implies(X1,X2)) ),
% 0.70/1.16 inference(weigh,[status(thm)],['0.206.0.3']),
% 0.70/1.16 [weight('<175,190,93,[1,0,0,2]>')]).
% 0.70/1.16 cnf('0.206.2.0',plain,
% 0.70/1.16 ( implies(X1,implies(implies(implies(not(X1),X2),X2),X3)) = implies(X2,implies(X1,X3)) ),
% 0.70/1.16 inference(orient,[status(thm)],['0.206.1.0',theory(equality)]),
% 0.70/1.16 [u,rule_195]).
% 0.70/1.16 cnf('0.208.0.0',plain,
% 0.70/1.16 ( implies(X1,implies(X2,not(implies(implies(X1,implies(not(X2),X1)),implies(not(X2),X1))))) = implies(X2,not(X1)) ),
% 0.70/1.16 inference(cp,[status(thm)],['0.206.2.0','0.196.2.0',theory(equality)]),
% 0.70/1.16 [pos('L.2','L')]).
% 0.70/1.16 cnf('0.208.0.1',plain,
% 0.70/1.16 ( implies(X1,implies(X2,not(implies(truth,implies(not(X2),X1))))) = implies(X2,not(X1)) ),
% 0.70/1.16 inference(reduction,[status(thm)],['0.208.0.0','0.12.2.0',theory(equality)]),
% 0.70/1.16 [pos('L.2.2.1.1','L')]).
% 0.70/1.16 cnf('0.208.0.2',plain,
% 0.70/1.16 ( implies(X1,implies(X2,not(implies(not(X2),X1)))) = implies(X2,not(X1)) ),
% 0.70/1.16 inference(reduction,[status(thm)],['0.208.0.1','0.1.2.0',theory(equality)]),
% 0.70/1.16 [pos('L.2.2.1','L')]).
% 0.70/1.16 cnf('0.208.1.0',plain,
% 0.70/1.16 ( implies(X1,implies(X2,not(implies(not(X2),X1)))) = implies(X2,not(X1)) ),
% 0.70/1.16 inference(weigh,[status(thm)],['0.208.0.2']),
% 0.70/1.16 [weight('<139,206,196,[1,0,0,2]>')]).
% 0.70/1.16 cnf('0.208.2.0',plain,
% 0.70/1.16 ( implies(X1,implies(X2,not(implies(not(X2),X1)))) = implies(X2,not(X1)) ),
% 0.70/1.16 inference(orient,[status(thm)],['0.208.1.0',theory(equality)]),
% 0.70/1.16 [u,rule_197]).
% 0.70/1.16 cnf('0.209.0.0',plain,
% 0.70/1.16 ( implies(not(X1),not(X2)) = implies(X2,implies(not(X1),not(implies(X1,X2)))) ),
% 0.70/1.16 inference(cp,[status(thm)],['0.208.2.0','0.27.2.0',theory(equality)]),
% 0.70/1.16 [pos('L.2.2.1.1','L')]).
% 0.70/1.16 cnf('0.209.0.1',plain,
% 0.70/1.16 ( implies(X2,X1) = implies(X2,implies(not(X1),not(implies(X1,X2)))) ),
% 0.70/1.16 inference(reduction,[status(thm)],['0.209.0.0','0.40.2.0',theory(equality)]),
% 0.70/1.16 [pos('L','L')]).
% 0.70/1.16 cnf('0.209.0.2',plain,
% 0.70/1.16 ( implies(X2,X1) = implies(X2,implies(implies(X1,X2),X1)) ),
% 0.70/1.16 inference(reduction,[status(thm)],['0.209.0.1','0.40.2.0',theory(equality)]),
% 0.70/1.16 [pos('R.2','L')]).
% 0.70/1.16 cnf('0.209.1.0',plain,
% 0.70/1.16 ( implies(X2,X1) = implies(X2,implies(implies(X1,X2),X1)) ),
% 0.70/1.16 inference(weigh,[status(thm)],['0.209.0.2']),
% 0.70/1.16 [weight('<87,208,27,[1,0,0,6]>')]).
% 0.70/1.16 cnf('0.209.2.0',plain,
% 0.70/1.16 ( implies(X1,implies(implies(X2,X1),X2)) = implies(X1,X2) ),
% 0.70/1.16 inference(orient,[status(thm)],['0.209.1.0',theory(equality)]),
% 0.70/1.16 [x,rule_198]).
% 0.70/1.16 cnf('1.0.0.0',conjecture,
% 0.70/1.16 ( implies(implies(implies(a,b),implies(b,a)),implies(b,a)) = truth ),
% 0.70/1.16 file('/tmp/WALDMEISTER_1617_n017',conjecture_1)).
% 0.70/1.16 cnf('1.0.0.1',plain,
% 0.70/1.16 ( implies(implies(b,implies(implies(a,b),a)),implies(b,a)) = truth ),
% 0.70/1.16 inference(reduction,[status(thm)],['1.0.0.0','0.189.2.0',theory(equality)]),
% 0.70/1.16 [pos('L.1','L')]).
% 0.70/1.16 cnf('1.0.0.2',plain,
% 0.70/1.16 ( implies(b,implies(implies(b,implies(implies(a,b),a)),a)) = truth ),
% 0.70/1.16 inference(reduction,[status(thm)],['1.0.0.1','0.189.2.0',theory(equality)]),
% 0.70/1.16 [pos('L','L')]).
% 0.70/1.16 cnf('1.0.0.3',plain,
% 0.70/1.16 ( implies(b,implies(implies(b,a),a)) = truth ),
% 0.70/1.16 inference(reduction,[status(thm)],['1.0.0.2','0.209.2.0',theory(equality)]),
% 0.70/1.16 [pos('L.2.1','L')]).
% 0.70/1.16 cnf('1.0.0.4',plain,
% 0.70/1.16 ( truth = truth ),
% 0.70/1.16 inference(reduction,[status(thm)],['1.0.0.3','0.5.2.0',theory(equality)]),
% 0.70/1.16 [pos('L','L')]).
% 0.70/1.16 cnf('1.0.0.5',plain,
% 0.70/1.16 ( $true ),
% 0.70/1.16 inference(trivial,[status(thm)],['1.0.0.4',theory(equality)]),
% 0.70/1.16 [conjecture_1]).
% 0.70/1.16
% 0.70/1.16 Proved Goals:
% 0.70/1.16 No. 1: implies(implies(implies(a,b),implies(b,a)),implies(b,a)) ?= truth joined, current: truth = truth
% 0.70/1.16 1 goal was specified, which was proved.
% 0.70/1.16 % SZS output end CNFRefutation
% 0.70/1.16 #END OF PROOF
% 0.70/1.16
% 0.70/1.16 Problem WALDMEISTER_1617_n017
% 0.70/1.16 CPs.gen 62400
% 0.70/1.16 CPs.reexp 0
% 0.70/1.16 Select 1671
% 0.70/1.16 R 198
% 0.70/1.16 E 11
% 0.70/1.16 vsize 6.6M
% 0.70/1.16 rss 4.0M
% 0.70/1.16 process.time 0.196s
% 0.70/1.16 wallclock.time 0.196s
% 0.70/1.16 status S
% 0.70/1.16
% 0.70/1.16
% 0.70/1.16 Waldmeister states: Goal proved.
% 0.70/1.16 % SZS status Unsatisfiable
%------------------------------------------------------------------------------