TSTP Solution File: LCL138-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LCL138-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n026.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 16:03:47 EDT 2022
% Result : Unsatisfiable 0.81s 1.20s
% Output : CNFRefutation 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : LCL138-1 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.14 % Command : woody %s
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jul 3 05:35:51 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.63/1.05 ********************************************************************************
% 0.63/1.05 * W A L D M E I S T E R \| \ / \|/ *
% 0.63/1.05 * |/ | \/ | *
% 0.63/1.05 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.63/1.05 * A. Jaeger and B. Loechner | | *
% 0.63/1.05 * <waldmeister@informatik.uni-kl.de> | *
% 0.63/1.05 ********************************************************************************
% 0.63/1.05
% 0.63/1.05
% 0.63/1.05 Goals:
% 0.63/1.05 ------
% 0.63/1.05
% 0.63/1.05 ( 1) implies(x,implies(y,z)) ?=? implies(y,implies(x,z))
% 0.63/1.05
% 0.63/1.05 Detected structure: WajsbergAlgebra
% 0.63/1.05 ********************************************************************************
% 0.63/1.05 ****************************** COMPLETION - PROOF ******************************
% 0.63/1.05 ********************************************************************************
% 0.63/1.05
% 0.81/1.20 joined goal: 1 implies(x,implies(y,z)) ?= implies(y,implies(x,z)) to implies(y,implies(x,z))
% 0.81/1.20 goal joined
% 0.81/1.20 % SZS status Unsatisfiable
% 0.81/1.20 #START OF PROOF
% 0.81/1.20 % SZS output start CNFRefutation
% 0.81/1.20 cnf('0.1.0.0',axiom,
% 0.81/1.20 ( X1 = implies(truth,X1) ),
% 0.81/1.20 file('/tmp/WALDMEISTER_17260_n026')).
% 0.81/1.20 cnf('0.1.1.0',plain,
% 0.81/1.20 ( X1 = implies(truth,X1) ),
% 0.81/1.20 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.81/1.20 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.81/1.20 cnf('0.1.2.0',plain,
% 0.81/1.20 ( implies(truth,X1) = X1 ),
% 0.81/1.20 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.81/1.20 [x,rule_1]).
% 0.81/1.20 cnf('0.2.0.0',axiom,
% 0.81/1.20 ( implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1) ),
% 0.81/1.20 file('/tmp/WALDMEISTER_17260_n026')).
% 0.81/1.20 cnf('0.2.1.0',plain,
% 0.81/1.20 ( implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1) ),
% 0.81/1.20 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.81/1.20 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.81/1.20 cnf('0.2.2.0',plain,
% 0.81/1.20 ( implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1) ),
% 0.81/1.20 inference(activate,[status(thm)],['0.2.1.0']),
% 0.81/1.20 [equation_1]).
% 0.81/1.20 cnf('0.3.0.0',axiom,
% 0.81/1.20 ( implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth ),
% 0.81/1.20 file('/tmp/WALDMEISTER_17260_n026')).
% 0.81/1.20 cnf('0.3.1.0',plain,
% 0.81/1.20 ( implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth ),
% 0.81/1.20 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.81/1.20 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.81/1.20 cnf('0.3.2.0',plain,
% 0.81/1.20 ( implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth ),
% 0.81/1.20 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.81/1.20 [u,rule_2]).
% 0.81/1.20 cnf('0.5.0.0',plain,
% 0.81/1.20 ( truth = implies(X1,implies(implies(X1,X2),implies(truth,X2))) ),
% 0.81/1.20 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.81/1.20 [pos('L.1','L')]).
% 0.81/1.20 cnf('0.5.0.1',plain,
% 0.81/1.20 ( truth = implies(X1,implies(implies(X1,X2),X2)) ),
% 0.81/1.20 inference(reduction,[status(thm)],['0.5.0.0','0.1.2.0',theory(equality)]),
% 0.81/1.20 [pos('R.2.2','L')]).
% 0.81/1.20 cnf('0.5.1.0',plain,
% 0.81/1.20 ( truth = implies(X1,implies(implies(X1,X2),X2)) ),
% 0.81/1.20 inference(weigh,[status(thm)],['0.5.0.1']),
% 0.81/1.20 [weight('<71,3,1,[1,0,0,1]>')]).
% 0.81/1.20 cnf('0.5.2.0',plain,
% 0.81/1.20 ( implies(X1,implies(implies(X1,X2),X2)) = truth ),
% 0.81/1.20 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.81/1.20 [x,rule_4]).
% 0.81/1.20 cnf('0.6.0.0',plain,
% 0.81/1.20 ( truth = implies(implies(truth,X1),X1) ),
% 0.81/1.20 inference(cp,[status(thm)],['0.5.2.0','0.1.2.0',theory(equality)]),
% 0.81/1.20 [pos('L','L')]).
% 0.81/1.20 cnf('0.6.0.1',plain,
% 0.81/1.20 ( truth = implies(X1,X1) ),
% 0.81/1.20 inference(reduction,[status(thm)],['0.6.0.0','0.1.2.0',theory(equality)]),
% 0.81/1.20 [pos('R.1','L')]).
% 0.81/1.20 cnf('0.6.1.0',plain,
% 0.81/1.20 ( truth = implies(X1,X1) ),
% 0.81/1.20 inference(weigh,[status(thm)],['0.6.0.1']),
% 0.81/1.20 [weight('<19,5,1,[1,0,0,0]>')]).
% 0.81/1.20 cnf('0.6.2.0',plain,
% 0.81/1.20 ( implies(X1,X1) = truth ),
% 0.81/1.20 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.81/1.20 [x,rule_5]).
% 0.81/1.20 cnf('0.10.0.0',plain,
% 0.81/1.20 ( truth = implies(X1,implies(implies(X2,X1),X1)) ),
% 0.81/1.20 inference(cp,[status(thm)],['0.5.2.0','0.2.2.0',theory(equality)]),
% 0.81/1.20 [pos('L.2','L')]).
% 0.81/1.20 cnf('0.10.1.0',plain,
% 0.81/1.20 ( truth = implies(X1,implies(implies(X2,X1),X1)) ),
% 0.81/1.20 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.81/1.20 [weight('<71,5,2,[1,0,0,2]>')]).
% 0.81/1.20 cnf('0.10.2.0',plain,
% 0.81/1.20 ( implies(X1,implies(implies(X2,X1),X1)) = truth ),
% 0.81/1.20 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.81/1.20 [x,rule_9]).
% 0.81/1.20 cnf('0.11.0.0',plain,
% 0.81/1.20 ( truth = implies(X1,implies(X1,X1)) ),
% 0.81/1.20 inference(cp,[status(thm)],['0.10.2.0','0.1.2.0',theory(equality)]),
% 0.81/1.20 [pos('L.2.1','L')]).
% 0.81/1.20 cnf('0.11.0.1',plain,
% 0.81/1.20 ( truth = implies(X1,truth) ),
% 0.81/1.20 inference(reduction,[status(thm)],['0.11.0.0','0.6.2.0',theory(equality)]),
% 0.81/1.20 [pos('R.2','L')]).
% 0.81/1.20 cnf('0.11.1.0',plain,
% 0.81/1.20 ( truth = implies(X1,truth) ),
% 0.81/1.20 inference(weigh,[status(thm)],['0.11.0.1']),
% 0.81/1.20 [weight('<19,10,1,[1,0,0,3]>')]).
% 0.81/1.20 cnf('0.11.2.0',plain,
% 0.81/1.20 ( implies(X1,truth) = truth ),
% 0.81/1.20 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.81/1.20 [x,rule_10]).
% 0.81/1.20 cnf('0.12.0.0',plain,
% 0.81/1.20 ( truth = implies(truth,implies(implies(truth,X1),implies(X2,X1))) ),
% 0.81/1.20 inference(cp,[status(thm)],['0.3.2.0','0.11.2.0',theory(equality)]),
% 0.81/1.20 [pos('L.1','L')]).
% 0.81/1.20 cnf('0.12.0.1',plain,
% 0.81/1.20 ( truth = implies(implies(truth,X1),implies(X2,X1)) ),
% 0.81/1.20 inference(reduction,[status(thm)],['0.12.0.0','0.1.2.0',theory(equality)]),
% 0.81/1.20 [pos('R','L')]).
% 0.81/1.20 cnf('0.12.0.2',plain,
% 0.81/1.20 ( truth = implies(X1,implies(X2,X1)) ),
% 0.81/1.20 inference(reduction,[status(thm)],['0.12.0.1','0.1.2.0',theory(equality)]),
% 0.81/1.20 [pos('R.1','L')]).
% 0.81/1.20 cnf('0.12.1.0',plain,
% 0.81/1.20 ( truth = implies(X1,implies(X2,X1)) ),
% 0.81/1.20 inference(weigh,[status(thm)],['0.12.0.2']),
% 0.81/1.20 [weight('<41,11,3,[0,0,0,1]>')]).
% 0.81/1.20 cnf('0.12.2.0',plain,
% 0.81/1.20 ( implies(X1,implies(X2,X1)) = truth ),
% 0.81/1.20 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.81/1.20 [x,rule_11]).
% 0.81/1.20 cnf('0.17.0.0',plain,
% 0.81/1.20 ( truth = implies(truth,implies(implies(implies(X1,X2),X3),implies(X2,X3))) ),
% 0.81/1.20 inference(cp,[status(thm)],['0.3.2.0','0.12.2.0',theory(equality)]),
% 0.81/1.20 [pos('L.1','L')]).
% 0.81/1.20 cnf('0.17.0.1',plain,
% 0.81/1.20 ( truth = implies(implies(implies(X1,X2),X3),implies(X2,X3)) ),
% 0.81/1.20 inference(reduction,[status(thm)],['0.17.0.0','0.1.2.0',theory(equality)]),
% 0.81/1.20 [pos('R','L')]).
% 0.81/1.20 cnf('0.17.1.0',plain,
% 0.81/1.20 ( truth = implies(implies(implies(X1,X2),X3),implies(X2,X3)) ),
% 0.81/1.20 inference(weigh,[status(thm)],['0.17.0.1']),
% 0.81/1.20 [weight('<109,12,3,[0,0,0,1]>')]).
% 0.81/1.20 cnf('0.17.2.0',plain,
% 0.81/1.20 ( implies(implies(implies(X1,X2),X3),implies(X2,X3)) = truth ),
% 0.81/1.20 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.81/1.20 [x,rule_16]).
% 0.81/1.20 cnf('0.21.0.0',plain,
% 0.81/1.20 ( truth = implies(truth,implies(X1,implies(X2,implies(X3,X1)))) ),
% 0.81/1.20 inference(cp,[status(thm)],['0.17.2.0','0.12.2.0',theory(equality)]),
% 0.81/1.20 [pos('L.1','L')]).
% 0.81/1.20 cnf('0.21.0.1',plain,
% 0.81/1.20 ( truth = implies(X1,implies(X2,implies(X3,X1))) ),
% 0.81/1.20 inference(reduction,[status(thm)],['0.21.0.0','0.1.2.0',theory(equality)]),
% 0.81/1.20 [pos('R','L')]).
% 0.81/1.20 cnf('0.21.1.0',plain,
% 0.81/1.20 ( truth = implies(X1,implies(X2,implies(X3,X1))) ),
% 0.81/1.20 inference(weigh,[status(thm)],['0.21.0.1']),
% 0.81/1.20 [weight('<71,17,12,[1,0,0,1]>')]).
% 0.81/1.20 cnf('0.21.2.0',plain,
% 0.81/1.20 ( implies(X1,implies(X2,implies(X3,X1))) = truth ),
% 0.81/1.20 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.81/1.20 [x,rule_20]).
% 0.81/1.20 cnf('0.32.0.0',plain,
% 0.81/1.20 ( truth = implies(implies(X1,X2),implies(truth,implies(X1,implies(X3,X2)))) ),
% 0.81/1.20 inference(cp,[status(thm)],['0.3.2.0','0.12.2.0',theory(equality)]),
% 0.81/1.20 [pos('L.2.1','L')]).
% 0.81/1.20 cnf('0.32.0.1',plain,
% 0.81/1.20 ( truth = implies(implies(X1,X2),implies(X1,implies(X3,X2))) ),
% 0.81/1.20 inference(reduction,[status(thm)],['0.32.0.0','0.1.2.0',theory(equality)]),
% 0.81/1.20 [pos('R.2','L')]).
% 0.81/1.20 cnf('0.32.1.0',plain,
% 0.81/1.20 ( truth = implies(implies(X1,X2),implies(X1,implies(X3,X2))) ),
% 0.81/1.20 inference(weigh,[status(thm)],['0.32.0.1']),
% 0.81/1.20 [weight('<109,12,3,[0,0,0,5]>')]).
% 0.81/1.20 cnf('0.32.2.0',plain,
% 0.81/1.20 ( implies(implies(X1,X2),implies(X1,implies(X3,X2))) = truth ),
% 0.81/1.20 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.81/1.20 [x,rule_31]).
% 0.81/1.20 cnf('0.37.0.0',plain,
% 0.81/1.20 ( truth = implies(X1,implies(X2,implies(implies(X1,X3),X3))) ),
% 0.81/1.20 inference(cp,[status(thm)],['0.21.2.0','0.2.2.0',theory(equality)]),
% 0.81/1.20 [pos('L.2.2','L')]).
% 0.81/1.20 cnf('0.37.1.0',plain,
% 0.81/1.20 ( truth = implies(X1,implies(X2,implies(implies(X1,X3),X3))) ),
% 0.81/1.20 inference(weigh,[status(thm)],['0.37.0.0']),
% 0.81/1.20 [weight('<109,21,2,[1,0,0,4]>')]).
% 0.81/1.20 cnf('0.37.2.0',plain,
% 0.81/1.20 ( implies(X1,implies(X2,implies(implies(X1,X3),X3))) = truth ),
% 0.81/1.20 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.81/1.20 [x,rule_36]).
% 0.81/1.20 cnf('0.54.0.0',plain,
% 0.81/1.20 ( implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X3,X1)),implies(X3,X1)) = implies(truth,implies(implies(X1,X2),implies(X3,X2))) ),
% 0.81/1.20 inference(cp,[status(thm)],['0.2.2.0','0.3.2.0',theory(equality)]),
% 0.81/1.20 [pos('L.1','L')]).
% 0.81/1.20 cnf('0.54.0.1',plain,
% 0.81/1.20 ( implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X3,X1)),implies(X3,X1)) = implies(implies(X1,X2),implies(X3,X2)) ),
% 0.81/1.20 inference(reduction,[status(thm)],['0.54.0.0','0.1.2.0',theory(equality)]),
% 0.81/1.20 [pos('R','L')]).
% 0.81/1.20 cnf('0.54.1.0',plain,
% 0.81/1.20 ( implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X3,X1)),implies(X3,X1)) = implies(implies(X1,X2),implies(X3,X2)) ),
% 0.81/1.20 inference(weigh,[status(thm)],['0.54.0.1']),
% 0.81/1.20 [weight('<?,3,2,[0,0,0,1]>')]).
% 0.81/1.20 cnf('0.54.2.0',plain,
% 0.81/1.20 ( implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X3,X1)),implies(X3,X1)) = implies(implies(X1,X2),implies(X3,X2)) ),
% 0.81/1.20 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 0.81/1.20 [u,rule_51]).
% 0.81/1.20 cnf('0.96.0.0',plain,
% 0.81/1.20 ( truth = implies(truth,implies(implies(implies(implies(X1,X2),X2),X3),implies(X1,X3))) ),
% 0.81/1.20 inference(cp,[status(thm)],['0.3.2.0','0.5.2.0',theory(equality)]),
% 0.81/1.20 [pos('L.1','L')]).
% 0.81/1.20 cnf('0.96.0.1',plain,
% 0.81/1.20 ( truth = implies(implies(implies(implies(X1,X2),X2),X3),implies(X1,X3)) ),
% 0.81/1.20 inference(reduction,[status(thm)],['0.96.0.0','0.1.2.0',theory(equality)]),
% 0.81/1.20 [pos('R','L')]).
% 0.81/1.20 cnf('0.96.1.0',plain,
% 0.81/1.20 ( truth = implies(implies(implies(implies(X1,X2),X2),X3),implies(X1,X3)) ),
% 0.81/1.20 inference(weigh,[status(thm)],['0.96.0.1']),
% 0.81/1.20 [weight('<155,5,3,[0,0,0,1]>')]).
% 0.81/1.20 cnf('0.96.2.0',plain,
% 0.81/1.20 ( implies(implies(implies(implies(X1,X2),X2),X3),implies(X1,X3)) = truth ),
% 0.81/1.20 inference(orient,[status(thm)],['0.96.1.0',theory(equality)]),
% 0.81/1.20 [x,rule_93]).
% 0.81/1.20 cnf('0.141.0.0',plain,
% 0.81/1.20 ( truth = implies(X1,implies(implies(X2,X3),implies(implies(X1,X2),X3))) ),
% 0.81/1.20 inference(cp,[status(thm)],['0.37.2.0','0.54.2.0',theory(equality)]),
% 0.81/1.20 [pos('L.2','L')]).
% 0.81/1.20 cnf('0.141.1.0',plain,
% 0.81/1.20 ( truth = implies(X1,implies(implies(X2,X3),implies(implies(X1,X2),X3))) ),
% 0.81/1.20 inference(weigh,[status(thm)],['0.141.0.0']),
% 0.81/1.20 [weight('<155,54,37,[0,0,0,2]>')]).
% 0.81/1.20 cnf('0.141.2.0',plain,
% 0.81/1.20 ( implies(X1,implies(implies(X2,X3),implies(implies(X1,X2),X3))) = truth ),
% 0.81/1.20 inference(orient,[status(thm)],['0.141.1.0',theory(equality)]),
% 0.81/1.20 [x,rule_138]).
% 0.81/1.20 cnf('0.156.0.0',plain,
% 0.81/1.20 ( truth = implies(implies(X1,implies(X2,X3)),implies(implies(implies(X3,X2),X2),implies(X1,X3))) ),
% 0.81/1.20 inference(cp,[status(thm)],['0.3.2.0','0.2.2.0',theory(equality)]),
% 0.81/1.20 [pos('L.2.1','L')]).
% 0.81/1.20 cnf('0.156.1.0',plain,
% 0.81/1.20 ( truth = implies(implies(X1,implies(X2,X3)),implies(implies(implies(X3,X2),X2),implies(X1,X3))) ),
% 0.81/1.20 inference(weigh,[status(thm)],['0.156.0.0']),
% 0.81/1.20 [weight('<?,3,2,[1,0,0,5]>')]).
% 0.81/1.20 cnf('0.156.2.0',plain,
% 0.81/1.20 ( implies(implies(X1,implies(X2,X3)),implies(implies(implies(X3,X2),X2),implies(X1,X3))) = truth ),
% 0.81/1.20 inference(orient,[status(thm)],['0.156.1.0',theory(equality)]),
% 0.81/1.20 [x,rule_153]).
% 0.81/1.20 cnf('0.182.0.0',plain,
% 0.81/1.20 ( truth = implies(truth,implies(implies(implies(implies(implies(X1,X2),X3),implies(X2,X3)),implies(X2,X3)),implies(X1,implies(implies(X1,X2),X3)))) ),
% 0.81/1.20 inference(cp,[status(thm)],['0.156.2.0','0.141.2.0',theory(equality)]),
% 0.81/1.20 [pos('L.1','L')]).
% 0.81/1.20 cnf('0.182.0.1',plain,
% 0.81/1.20 ( truth = implies(implies(implies(implies(implies(X1,X2),X3),implies(X2,X3)),implies(X2,X3)),implies(X1,implies(implies(X1,X2),X3))) ),
% 0.81/1.20 inference(reduction,[status(thm)],['0.182.0.0','0.1.2.0',theory(equality)]),
% 0.81/1.20 [pos('R','L')]).
% 0.81/1.20 cnf('0.182.0.2',plain,
% 0.81/1.20 ( truth = implies(implies(truth,implies(X2,X3)),implies(X1,implies(implies(X1,X2),X3))) ),
% 0.81/1.20 inference(reduction,[status(thm)],['0.182.0.1','0.17.2.0',theory(equality)]),
% 0.81/1.20 [pos('R.1.1','L')]).
% 0.81/1.20 cnf('0.182.0.3',plain,
% 0.81/1.20 ( truth = implies(implies(X2,X3),implies(X1,implies(implies(X1,X2),X3))) ),
% 0.81/1.20 inference(reduction,[status(thm)],['0.182.0.2','0.1.2.0',theory(equality)]),
% 0.81/1.20 [pos('R.1','L')]).
% 0.81/1.20 cnf('0.182.1.0',plain,
% 0.81/1.20 ( truth = implies(implies(X2,X3),implies(X1,implies(implies(X1,X2),X3))) ),
% 0.81/1.20 inference(weigh,[status(thm)],['0.182.0.3']),
% 0.81/1.20 [weight('<155,156,141,[1,0,0,1]>')]).
% 0.81/1.20 cnf('0.182.2.0',plain,
% 0.81/1.20 ( implies(implies(X1,X2),implies(X3,implies(implies(X3,X1),X2))) = truth ),
% 0.81/1.20 inference(orient,[status(thm)],['0.182.1.0',theory(equality)]),
% 0.81/1.20 [x,rule_179]).
% 0.81/1.20 cnf('0.183.0.0',plain,
% 0.81/1.20 ( truth = implies(truth,implies(X1,implies(X2,implies(implies(X2,implies(X1,X3)),X3)))) ),
% 0.81/1.20 inference(cp,[status(thm)],['0.96.2.0','0.182.2.0',theory(equality)]),
% 0.81/1.20 [pos('L.1','L')]).
% 0.81/1.20 cnf('0.183.0.1',plain,
% 0.81/1.20 ( truth = implies(X1,implies(X2,implies(implies(X2,implies(X1,X3)),X3))) ),
% 0.81/1.20 inference(reduction,[status(thm)],['0.183.0.0','0.1.2.0',theory(equality)]),
% 0.81/1.20 [pos('R','L')]).
% 0.81/1.20 cnf('0.183.1.0',plain,
% 0.81/1.20 ( truth = implies(X1,implies(X2,implies(implies(X2,implies(X1,X3)),X3))) ),
% 0.81/1.20 inference(weigh,[status(thm)],['0.183.0.1']),
% 0.81/1.20 [weight('<155,182,96,[0,0,0,1]>')]).
% 0.81/1.20 cnf('0.183.2.0',plain,
% 0.81/1.20 ( implies(X1,implies(X2,implies(implies(X2,implies(X1,X3)),X3))) = truth ),
% 0.81/1.20 inference(orient,[status(thm)],['0.183.1.0',theory(equality)]),
% 0.81/1.20 [x,rule_180]).
% 0.81/1.20 cnf('0.184.0.0',plain,
% 0.81/1.20 ( truth = implies(implies(X1,X2),implies(implies(X3,X1),implies(truth,implies(X3,X2)))) ),
% 0.81/1.20 inference(cp,[status(thm)],['0.183.2.0','0.3.2.0',theory(equality)]),
% 0.81/1.20 [pos('L.2.2.1','L')]).
% 0.81/1.20 cnf('0.184.0.1',plain,
% 0.81/1.20 ( truth = implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))) ),
% 0.81/1.20 inference(reduction,[status(thm)],['0.184.0.0','0.1.2.0',theory(equality)]),
% 0.81/1.20 [pos('R.2.2','L')]).
% 0.81/1.20 cnf('0.184.1.0',plain,
% 0.81/1.20 ( truth = implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))) ),
% 0.81/1.20 inference(weigh,[status(thm)],['0.184.0.1']),
% 0.81/1.20 [weight('<155,183,3,[1,0,0,5]>')]).
% 0.81/1.20 cnf('0.184.2.0',plain,
% 0.81/1.20 ( implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))) = truth ),
% 0.81/1.20 inference(orient,[status(thm)],['0.184.1.0',theory(equality)]),
% 0.81/1.20 [x,rule_181]).
% 0.81/1.20 cnf('0.187.0.0',plain,
% 0.81/1.20 ( truth = implies(truth,implies(X1,implies(implies(X2,implies(X1,X3)),implies(X2,X3)))) ),
% 0.81/1.20 inference(cp,[status(thm)],['0.96.2.0','0.184.2.0',theory(equality)]),
% 0.81/1.20 [pos('L.1','L')]).
% 0.81/1.20 cnf('0.187.0.1',plain,
% 0.81/1.20 ( truth = implies(X1,implies(implies(X2,implies(X1,X3)),implies(X2,X3))) ),
% 0.81/1.20 inference(reduction,[status(thm)],['0.187.0.0','0.1.2.0',theory(equality)]),
% 0.81/1.20 [pos('R','L')]).
% 0.81/1.20 cnf('0.187.1.0',plain,
% 0.81/1.20 ( truth = implies(X1,implies(implies(X2,implies(X1,X3)),implies(X2,X3))) ),
% 0.81/1.20 inference(weigh,[status(thm)],['0.187.0.1']),
% 0.81/1.20 [weight('<155,184,96,[0,0,0,1]>')]).
% 0.81/1.20 cnf('0.187.2.0',plain,
% 0.81/1.20 ( implies(X1,implies(implies(X2,implies(X1,X3)),implies(X2,X3))) = truth ),
% 0.81/1.20 inference(orient,[status(thm)],['0.187.1.0',theory(equality)]),
% 0.81/1.20 [x,rule_184]).
% 0.81/1.20 cnf('0.188.0.0',plain,
% 0.81/1.20 ( truth = implies(truth,implies(implies(implies(implies(X1,X2),implies(X1,implies(X3,X2))),implies(X1,implies(X3,X2))),implies(X3,implies(X1,X2)))) ),
% 0.81/1.20 inference(cp,[status(thm)],['0.156.2.0','0.187.2.0',theory(equality)]),
% 0.81/1.20 [pos('L.1','L')]).
% 0.81/1.20 cnf('0.188.0.1',plain,
% 0.81/1.20 ( truth = implies(implies(implies(implies(X1,X2),implies(X1,implies(X3,X2))),implies(X1,implies(X3,X2))),implies(X3,implies(X1,X2))) ),
% 0.81/1.20 inference(reduction,[status(thm)],['0.188.0.0','0.1.2.0',theory(equality)]),
% 0.81/1.20 [pos('R','L')]).
% 0.81/1.20 cnf('0.188.0.2',plain,
% 0.81/1.20 ( truth = implies(implies(truth,implies(X1,implies(X3,X2))),implies(X3,implies(X1,X2))) ),
% 0.81/1.20 inference(reduction,[status(thm)],['0.188.0.1','0.32.2.0',theory(equality)]),
% 0.81/1.20 [pos('R.1.1','L')]).
% 0.81/1.20 cnf('0.188.0.3',plain,
% 0.81/1.20 ( truth = implies(implies(X1,implies(X3,X2)),implies(X3,implies(X1,X2))) ),
% 0.81/1.20 inference(reduction,[status(thm)],['0.188.0.2','0.1.2.0',theory(equality)]),
% 0.81/1.20 [pos('R.1','L')]).
% 0.81/1.20 cnf('0.188.1.0',plain,
% 0.81/1.20 ( truth = implies(implies(X1,implies(X3,X2)),implies(X3,implies(X1,X2))) ),
% 0.81/1.20 inference(weigh,[status(thm)],['0.188.0.3']),
% 0.81/1.20 [weight('<155,187,156,[0,0,0,1]>')]).
% 0.81/1.20 cnf('0.188.2.0',plain,
% 0.81/1.20 ( implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3))) = truth ),
% 0.81/1.20 inference(orient,[status(thm)],['0.188.1.0',theory(equality)]),
% 0.81/1.20 [x,rule_185]).
% 0.81/1.20 cnf('0.189.0.0',plain,
% 0.81/1.20 ( implies(implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3))),implies(X2,implies(X1,X3))) = implies(truth,implies(X1,implies(X2,X3))) ),
% 0.81/1.20 inference(cp,[status(thm)],['0.2.2.0','0.188.2.0',theory(equality)]),
% 0.81/1.20 [pos('L.1','L')]).
% 0.81/1.20 cnf('0.189.0.1',plain,
% 0.81/1.20 ( implies(truth,implies(X2,implies(X1,X3))) = implies(truth,implies(X1,implies(X2,X3))) ),
% 0.81/1.20 inference(reduction,[status(thm)],['0.189.0.0','0.188.2.0',theory(equality)]),
% 0.81/1.20 [pos('L.1','L')]).
% 0.81/1.20 cnf('0.189.0.2',plain,
% 0.81/1.20 ( implies(X2,implies(X1,X3)) = implies(truth,implies(X1,implies(X2,X3))) ),
% 0.81/1.20 inference(reduction,[status(thm)],['0.189.0.1','0.1.2.0',theory(equality)]),
% 0.81/1.20 [pos('L','L')]).
% 0.81/1.20 cnf('0.189.0.3',plain,
% 0.81/1.20 ( implies(X2,implies(X1,X3)) = implies(X1,implies(X2,X3)) ),
% 0.81/1.20 inference(reduction,[status(thm)],['0.189.0.2','0.1.2.0',theory(equality)]),
% 0.81/1.20 [pos('R','L')]).
% 0.81/1.20 cnf('0.189.1.0',plain,
% 0.81/1.20 ( implies(X2,implies(X1,X3)) = implies(X1,implies(X2,X3)) ),
% 0.81/1.20 inference(weigh,[status(thm)],['0.189.0.3']),
% 0.81/1.20 [weight('<120,188,2,[0,0,0,1]>')]).
% 0.81/1.20 cnf('0.189.2.0',plain,
% 0.81/1.20 ( implies(X1,implies(X2,X3)) = implies(X2,implies(X1,X3)) ),
% 0.81/1.20 inference(activate,[status(thm)],['0.189.1.0']),
% 0.81/1.20 [equation_4]).
% 0.81/1.20 cnf('1.0.0.0',conjecture,
% 0.81/1.20 ( implies(x,implies(y,z)) = implies(y,implies(x,z)) ),
% 0.81/1.20 file('/tmp/WALDMEISTER_17260_n026',conjecture_1)).
% 0.81/1.20 cnf('1.0.0.1',plain,
% 0.81/1.20 ( implies(y,implies(x,z)) = implies(y,implies(x,z)) ),
% 0.81/1.20 inference(reduction,[status(thm)],['1.0.0.0','0.189.2.0',theory(equality)]),
% 0.81/1.20 [pos('L','L')]).
% 0.81/1.20 cnf('1.0.0.2',plain,
% 0.81/1.20 ( $true ),
% 0.81/1.20 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.81/1.20 [conjecture_1]).
% 0.81/1.20
% 0.81/1.20 Proved Goals:
% 0.81/1.20 No. 1: implies(x,implies(y,z)) ?= implies(y,implies(x,z)) joined, current: implies(y,implies(x,z)) = implies(y,implies(x,z))
% 0.81/1.20 1 goal was specified, which was proved.
% 0.81/1.20 % SZS output end CNFRefutation
% 0.81/1.20 #END OF PROOF
% 0.81/1.20
% 0.81/1.20 Problem WALDMEISTER_17260_n026
% 0.81/1.20 CPs.gen 55957
% 0.81/1.20 CPs.reexp 0
% 0.81/1.20 Select 1238
% 0.81/1.20 R 185
% 0.81/1.20 E 4
% 0.81/1.20 vsize 6.5M
% 0.81/1.20 rss 4.0M
% 0.81/1.20 process.time 0.151s
% 0.81/1.20 wallclock.time 0.151s
% 0.81/1.20 status S
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 Waldmeister states: Goal proved.
% 0.81/1.20 % SZS status Unsatisfiable
%------------------------------------------------------------------------------