TSTP Solution File: LCL443-10 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LCL443-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n008.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 16:06:01 EDT 2022
% Result : Unsatisfiable 0.87s 1.24s
% Output : CNFRefutation 0.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL443-10 : TPTP v8.1.0. Released v7.3.0.
% 0.04/0.13 % Command : woody %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jul 2 22:03:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.59/0.99 ********************************************************************************
% 0.59/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/0.99 * |/ | \/ | *
% 0.59/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/0.99 * A. Jaeger and B. Loechner | | *
% 0.59/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/0.99 ********************************************************************************
% 0.59/0.99
% 0.59/0.99
% 0.59/0.99 Goals:
% 0.59/0.99 ------
% 0.59/0.99
% 0.59/0.99 ( 1) true ?=? c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
% 0.59/0.99
% 0.59/0.99 Detected structure: Orkus
% 0.59/0.99 ********************************************************************************
% 0.59/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.59/0.99 ********************************************************************************
% 0.59/0.99
% 0.87/1.24 joined goal: 1 true ?= c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) to c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
% 0.87/1.24 goal joined
% 0.87/1.24 % SZS status Unsatisfiable
% 0.87/1.24 #START OF PROOF
% 0.87/1.24 % SZS output start CNFRefutation
% 0.87/1.24 cnf('0.1.0.0',axiom,
% 0.87/1.24 ( X1 = ifeq(X2,X2,X1,X3) ),
% 0.87/1.24 file('/tmp/WALDMEISTER_4735_n008')).
% 0.87/1.24 cnf('0.1.1.0',plain,
% 0.87/1.24 ( X1 = ifeq(X2,X2,X1,X3) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.87/1.24 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.87/1.24 cnf('0.1.2.0',plain,
% 0.87/1.24 ( ifeq(X1,X1,X2,X3) = X2 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_1]).
% 0.87/1.24 cnf('0.2.0.0',axiom,
% 0.87/1.24 ( true = c_in(X1,c_insert(X1,X2,X3),X3) ),
% 0.87/1.24 file('/tmp/WALDMEISTER_4735_n008')).
% 0.87/1.24 cnf('0.2.1.0',plain,
% 0.87/1.24 ( true = c_in(X1,c_insert(X1,X2,X3),X3) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.87/1.24 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.87/1.24 cnf('0.2.2.0',plain,
% 0.87/1.24 ( c_in(X1,c_insert(X1,X2,X3),X3) = true ),
% 0.87/1.24 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_2]).
% 0.87/1.24 cnf('0.3.0.0',axiom,
% 0.87/1.24 ( true = c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
% 0.87/1.24 file('/tmp/WALDMEISTER_4735_n008')).
% 0.87/1.24 cnf('0.3.1.0',plain,
% 0.87/1.24 ( true = c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.87/1.24 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.87/1.24 cnf('0.3.2.0',plain,
% 0.87/1.24 ( c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) = true ),
% 0.87/1.24 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_3]).
% 0.87/1.24 cnf('0.4.0.0',axiom,
% 0.87/1.24 ( true = c_in(v_p,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
% 0.87/1.24 file('/tmp/WALDMEISTER_4735_n008')).
% 0.87/1.24 cnf('0.4.1.0',plain,
% 0.87/1.24 ( true = c_in(v_p,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.87/1.24 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.87/1.24 cnf('0.4.2.0',plain,
% 0.87/1.24 ( c_in(v_p,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) = true ),
% 0.87/1.24 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_4]).
% 0.87/1.24 cnf('0.5.0.0',axiom,
% 0.87/1.24 ( true = ifeq(c_in(X1,X2,tc_PropLog_Opl(X3)),true,c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)),true) ),
% 0.87/1.24 file('/tmp/WALDMEISTER_4735_n008')).
% 0.87/1.24 cnf('0.5.1.0',plain,
% 0.87/1.24 ( true = ifeq(c_in(X1,X2,tc_PropLog_Opl(X3)),true,c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)),true) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.87/1.24 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.87/1.24 cnf('0.5.2.0',plain,
% 0.87/1.24 ( ifeq(c_in(X1,X2,tc_PropLog_Opl(X3)),true,c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)),true) = true ),
% 0.87/1.24 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_5]).
% 0.87/1.24 cnf('0.6.0.0',axiom,
% 0.87/1.24 ( true = ifeq(c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)),true,c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),true) ),
% 0.87/1.24 file('/tmp/WALDMEISTER_4735_n008')).
% 0.87/1.24 cnf('0.6.1.0',plain,
% 0.87/1.24 ( true = ifeq(c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)),true,c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),true) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.87/1.24 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.87/1.24 cnf('0.6.2.0',plain,
% 0.87/1.24 ( ifeq(c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)),true,c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),true) = true ),
% 0.87/1.24 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_6]).
% 0.87/1.24 cnf('0.7.0.0',axiom,
% 0.87/1.24 ( true = ifeq(c_in(X1,c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)),true,c_in(c_PropLog_Opl_Oop_A_N_62(X2,X1,X4),c_PropLog_Othms(X3,X4),tc_PropLog_Opl(X4)),true) ),
% 0.87/1.24 file('/tmp/WALDMEISTER_4735_n008')).
% 0.87/1.24 cnf('0.7.1.0',plain,
% 0.87/1.24 ( true = ifeq(c_in(X1,c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)),true,c_in(c_PropLog_Opl_Oop_A_N_62(X2,X1,X4),c_PropLog_Othms(X3,X4),tc_PropLog_Opl(X4)),true) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.87/1.24 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.87/1.24 cnf('0.7.2.0',plain,
% 0.87/1.24 ( ifeq(c_in(X1,c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)),true,c_in(c_PropLog_Opl_Oop_A_N_62(X2,X1,X4),c_PropLog_Othms(X3,X4),tc_PropLog_Opl(X4)),true) = true ),
% 0.87/1.24 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_7]).
% 0.87/1.24 cnf('0.8.0.0',axiom,
% 0.87/1.24 ( true = ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),true,ifeq(c_in(X1,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),true,c_in(X2,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),true),true) ),
% 0.87/1.24 file('/tmp/WALDMEISTER_4735_n008')).
% 0.87/1.24 cnf('0.8.1.0',plain,
% 0.87/1.24 ( true = ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),true,ifeq(c_in(X1,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),true,c_in(X2,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),true),true) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.87/1.24 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.87/1.24 cnf('0.8.2.0',plain,
% 0.87/1.24 ( ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),true,ifeq(c_in(X1,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),true,c_in(X2,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),true),true) = true ),
% 0.87/1.24 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_8]).
% 0.87/1.24 cnf('0.11.0.0',plain,
% 0.87/1.24 ( true = ifeq(true,true,c_in(X1,c_PropLog_Othms(c_insert(X1,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),true) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.5.2.0','0.2.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.11.0.1',plain,
% 0.87/1.24 ( true = c_in(X1,c_PropLog_Othms(c_insert(X1,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.11.0.0','0.1.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.11.1.0',plain,
% 0.87/1.24 ( true = c_in(X1,c_PropLog_Othms(c_insert(X1,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.11.0.1']),
% 0.87/1.24 [weight('<155,5,2,[1,0,0,1]>')]).
% 0.87/1.24 cnf('0.11.2.0',plain,
% 0.87/1.24 ( c_in(X1,c_PropLog_Othms(c_insert(X1,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) = true ),
% 0.87/1.24 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_11]).
% 0.87/1.24 cnf('0.13.0.0',plain,
% 0.87/1.24 ( true = ifeq(true,true,c_in(v_p,c_PropLog_Othms(c_insert(X1,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),true) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.6.2.0','0.4.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.13.0.1',plain,
% 0.87/1.24 ( true = c_in(v_p,c_PropLog_Othms(c_insert(X1,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.13.0.0','0.1.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.13.1.0',plain,
% 0.87/1.24 ( true = c_in(v_p,c_PropLog_Othms(c_insert(X1,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.13.0.1']),
% 0.87/1.24 [weight('<155,6,4,[1,0,0,1]>')]).
% 0.87/1.24 cnf('0.13.2.0',plain,
% 0.87/1.24 ( c_in(v_p,c_PropLog_Othms(c_insert(X1,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) = true ),
% 0.87/1.24 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_13]).
% 0.87/1.24 cnf('0.28.0.0',plain,
% 0.87/1.24 ( true = ifeq(true,true,c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(X1,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),true) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.6.2.0','0.3.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.28.0.1',plain,
% 0.87/1.24 ( true = c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(X1,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.28.0.0','0.1.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.28.1.0',plain,
% 0.87/1.24 ( true = c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(X1,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.28.0.1']),
% 0.87/1.24 [weight('<239,6,3,[1,0,0,1]>')]).
% 0.87/1.24 cnf('0.28.2.0',plain,
% 0.87/1.24 ( c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(X1,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) = true ),
% 0.87/1.24 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_28]).
% 0.87/1.24 cnf('0.209.0.0',plain,
% 0.87/1.24 ( true = ifeq(true,true,ifeq(c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),true,c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),true),true) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.8.2.0','0.11.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.209.0.1',plain,
% 0.87/1.24 ( true = ifeq(c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),true,c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),true) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.209.0.0','0.1.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.209.1.0',plain,
% 0.87/1.24 ( true = ifeq(c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),true,c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),true) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.209.0.1']),
% 0.87/1.24 [weight('<?,11,8,[0,0,0,1]>')]).
% 0.87/1.24 cnf('0.209.2.0',plain,
% 0.87/1.24 ( ifeq(c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),true,c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),true) = true ),
% 0.87/1.24 inference(orient,[status(thm)],['0.209.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_209]).
% 0.87/1.24 cnf('0.210.0.0',plain,
% 0.87/1.24 ( true = ifeq(true,true,c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),true) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.209.2.0','0.13.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.210.0.1',plain,
% 0.87/1.24 ( true = c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.210.0.0','0.1.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.210.1.0',plain,
% 0.87/1.24 ( true = c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.210.0.1']),
% 0.87/1.24 [weight('<239,209,13,[1,0,0,1]>')]).
% 0.87/1.24 cnf('0.210.2.0',plain,
% 0.87/1.24 ( c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) = true ),
% 0.87/1.24 inference(orient,[status(thm)],['0.210.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_210]).
% 0.87/1.24 cnf('0.923.0.0',plain,
% 0.87/1.24 ( true = ifeq(true,true,ifeq(c_in(v_q,c_PropLog_Othms(c_insert(X1,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),true,c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(X1,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),true),true) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.8.2.0','0.28.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.923.0.1',plain,
% 0.87/1.24 ( true = ifeq(c_in(v_q,c_PropLog_Othms(c_insert(X1,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),true,c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(X1,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),true) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.923.0.0','0.1.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.923.1.0',plain,
% 0.87/1.24 ( true = ifeq(c_in(v_q,c_PropLog_Othms(c_insert(X1,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),true,c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(X1,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),true) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.923.0.1']),
% 0.87/1.24 [weight('<?,28,8,[0,0,0,1]>')]).
% 0.87/1.24 cnf('0.923.2.0',plain,
% 0.87/1.24 ( ifeq(c_in(v_q,c_PropLog_Othms(c_insert(X1,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),true,c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(X1,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),true) = true ),
% 0.87/1.24 inference(orient,[status(thm)],['0.923.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_923]).
% 0.87/1.24 cnf('0.924.0.0',plain,
% 0.87/1.24 ( true = ifeq(true,true,c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),true) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.923.2.0','0.210.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.924.0.1',plain,
% 0.87/1.24 ( true = c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.924.0.0','0.1.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.924.1.0',plain,
% 0.87/1.24 ( true = c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.924.0.1']),
% 0.87/1.24 [weight('<239,923,210,[1,0,0,1]>')]).
% 0.87/1.24 cnf('0.924.2.0',plain,
% 0.87/1.24 ( c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) = true ),
% 0.87/1.24 inference(orient,[status(thm)],['0.924.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_924]).
% 0.87/1.24 cnf('0.925.0.0',plain,
% 0.87/1.24 ( true = ifeq(true,true,c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),true) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.7.2.0','0.924.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.925.0.1',plain,
% 0.87/1.24 ( true = c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.925.0.0','0.1.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.925.1.0',plain,
% 0.87/1.24 ( true = c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.925.0.1']),
% 0.87/1.24 [weight('<209,924,7,[0,0,0,1]>')]).
% 0.87/1.24 cnf('0.925.2.0',plain,
% 0.87/1.24 ( c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) = true ),
% 0.87/1.24 inference(orient,[status(thm)],['0.925.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_925]).
% 0.87/1.24 cnf('1.0.0.0',conjecture,
% 0.87/1.24 ( true = c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
% 0.87/1.24 file('/tmp/WALDMEISTER_4735_n008',conjecture_1)).
% 0.87/1.24 cnf('1.0.0.1',plain,
% 0.87/1.24 ( c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) = c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['1.0.0.0','0.925.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','R')]).
% 0.87/1.24 cnf('1.0.0.2',plain,
% 0.87/1.24 ( $true ),
% 0.87/1.24 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.87/1.24 [conjecture_1]).
% 0.87/1.24
% 0.87/1.24 Proved Goals:
% 0.87/1.24 No. 1: true ?= c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) joined, current: c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) = c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
% 0.87/1.24 1 goal was specified, which was proved.
% 0.87/1.24 % SZS output end CNFRefutation
% 0.87/1.24 #END OF PROOF
% 0.87/1.24
% 0.87/1.24 Problem WALDMEISTER_4735_n008
% 0.87/1.24 CPs.gen 45382
% 0.87/1.24 CPs.reexp 0
% 0.87/1.24 Select 1131
% 0.87/1.24 R 925
% 0.87/1.24 E 0
% 0.87/1.24 vsize 7.7M
% 0.87/1.24 rss 5.0M
% 0.87/1.24 process.time 0.255s
% 0.87/1.24 wallclock.time 0.255s
% 0.87/1.24 status S
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 Waldmeister states: Goal proved.
% 0.87/1.24 % SZS status Unsatisfiable
%------------------------------------------------------------------------------