TSTP Solution File: LCL446-2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL446-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 12:52:21 EDT 2022
% Result : Unsatisfiable 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of clauses : 27 ( 16 unt; 0 nHn; 12 RR)
% Number of literals : 42 ( 0 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 111 ( 23 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_p,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ).
cnf(cls_PropLog_Othms_OK_0,axiom,
c_in(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Oop_A_N_62(V_q,V_p,T_a),T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ).
cnf(cls_PropLog_Othms_OMP_0,axiom,
( ~ c_in(V_p,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))
| c_in(V_q,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ) ).
cnf(cls_PropLog_Othms_OS_0,axiom,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Oop_A_N_62(V_q,V_r,T_a),T_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,T_a),c_PropLog_Opl_Oop_A_N_62(V_p,V_r,T_a),T_a),T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ).
cnf(refute_0_0,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(X_11,c_PropLog_Opl_Oop_A_N_62(V_q,X_11,X_9),X_9),c_PropLog_Othms(X_10,X_9),tc_PropLog_Opl(X_9)),
inference(subst,[],[cls_PropLog_Othms_OK_0:[bind(T_a,$fot(X_9)),bind(V_H,$fot(X_10)),bind(V_p,$fot(X_11))]]) ).
cnf(refute_0_1,plain,
( ~ c_in(X_11,c_PropLog_Othms(X_10,X_9),tc_PropLog_Opl(X_9))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X_11,c_PropLog_Opl_Oop_A_N_62(V_q,X_11,X_9),X_9),c_PropLog_Othms(X_10,X_9),tc_PropLog_Opl(X_9))
| c_in(c_PropLog_Opl_Oop_A_N_62(V_q,X_11,X_9),c_PropLog_Othms(X_10,X_9),tc_PropLog_Opl(X_9)) ),
inference(subst,[],[cls_PropLog_Othms_OMP_0:[bind(T_a,$fot(X_9)),bind(V_H,$fot(X_10)),bind(V_p,$fot(X_11)),bind(V_q,$fot(c_PropLog_Opl_Oop_A_N_62(V_q,X_11,X_9)))]]) ).
cnf(refute_0_2,plain,
( ~ c_in(X_11,c_PropLog_Othms(X_10,X_9),tc_PropLog_Opl(X_9))
| c_in(c_PropLog_Opl_Oop_A_N_62(V_q,X_11,X_9),c_PropLog_Othms(X_10,X_9),tc_PropLog_Opl(X_9)) ),
inference(resolve,[$cnf( c_in(c_PropLog_Opl_Oop_A_N_62(X_11,c_PropLog_Opl_Oop_A_N_62(V_q,X_11,X_9),X_9),c_PropLog_Othms(X_10,X_9),tc_PropLog_Opl(X_9)) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X_75,c_PropLog_Opl_Oop_A_N_62(X_76,X_77,X_79),X_79),c_PropLog_Opl_Oop_A_N_62(X_75,X_76,X_79),X_79),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X_75,c_PropLog_Opl_Oop_A_N_62(X_76,X_77,X_79),X_79),c_PropLog_Opl_Oop_A_N_62(X_75,X_77,X_79),X_79),X_79),c_PropLog_Othms(X_78,X_79),tc_PropLog_Opl(X_79))
| c_in(c_PropLog_Opl_Oop_A_N_62(V_q,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X_75,c_PropLog_Opl_Oop_A_N_62(X_76,X_77,X_79),X_79),c_PropLog_Opl_Oop_A_N_62(X_75,X_76,X_79),X_79),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X_75,c_PropLog_Opl_Oop_A_N_62(X_76,X_77,X_79),X_79),c_PropLog_Opl_Oop_A_N_62(X_75,X_77,X_79),X_79),X_79),X_79),c_PropLog_Othms(X_78,X_79),tc_PropLog_Opl(X_79)) ),
inference(subst,[],[refute_0_2:[bind(X_10,$fot(X_78)),bind(X_11,$fot(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X_75,c_PropLog_Opl_Oop_A_N_62(X_76,X_77,X_79),X_79),c_PropLog_Opl_Oop_A_N_62(X_75,X_76,X_79),X_79),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X_75,c_PropLog_Opl_Oop_A_N_62(X_76,X_77,X_79),X_79),c_PropLog_Opl_Oop_A_N_62(X_75,X_77,X_79),X_79),X_79))),bind(X_9,$fot(X_79))]]) ).
cnf(refute_0_4,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Oop_A_N_62(V_q,V_r,X_52),X_52),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,X_52),c_PropLog_Opl_Oop_A_N_62(V_p,V_r,X_52),X_52),X_52),c_PropLog_Othms(X_51,X_52),tc_PropLog_Opl(X_52)),
inference(subst,[],[cls_PropLog_Othms_OS_0:[bind(T_a,$fot(X_52)),bind(V_H,$fot(X_51))]]) ).
cnf(refute_0_5,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Oop_A_N_62(V_q,V_r,X_9),X_9),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,X_9),c_PropLog_Opl_Oop_A_N_62(V_p,V_r,X_9),X_9),X_9),c_PropLog_Othms(X_10,X_9),tc_PropLog_Opl(X_9)),
inference(subst,[],[cls_PropLog_Othms_OS_0:[bind(T_a,$fot(X_9)),bind(V_H,$fot(X_10))]]) ).
cnf(refute_0_6,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Oop_A_N_62(V_q,V_r,X_9),X_9),c_PropLog_Othms(X_10,X_9),tc_PropLog_Opl(X_9))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Oop_A_N_62(V_q,V_r,X_9),X_9),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,X_9),c_PropLog_Opl_Oop_A_N_62(V_p,V_r,X_9),X_9),X_9),c_PropLog_Othms(X_10,X_9),tc_PropLog_Opl(X_9))
| c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,X_9),c_PropLog_Opl_Oop_A_N_62(V_p,V_r,X_9),X_9),c_PropLog_Othms(X_10,X_9),tc_PropLog_Opl(X_9)) ),
inference(subst,[],[cls_PropLog_Othms_OMP_0:[bind(T_a,$fot(X_9)),bind(V_H,$fot(X_10)),bind(V_p,$fot(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Oop_A_N_62(V_q,V_r,X_9),X_9))),bind(V_q,$fot(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,X_9),c_PropLog_Opl_Oop_A_N_62(V_p,V_r,X_9),X_9)))]]) ).
cnf(refute_0_7,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Oop_A_N_62(V_q,V_r,X_9),X_9),c_PropLog_Othms(X_10,X_9),tc_PropLog_Opl(X_9))
| c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,X_9),c_PropLog_Opl_Oop_A_N_62(V_p,V_r,X_9),X_9),c_PropLog_Othms(X_10,X_9),tc_PropLog_Opl(X_9)) ),
inference(resolve,[$cnf( c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Oop_A_N_62(V_q,V_r,X_9),X_9),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,X_9),c_PropLog_Opl_Oop_A_N_62(V_p,V_r,X_9),X_9),X_9),c_PropLog_Othms(X_10,X_9),tc_PropLog_Opl(X_9)) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Oop_A_N_62(V_q,V_r,X_52),X_52),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,X_52),c_PropLog_Opl_Oop_A_N_62(V_p,V_r,X_52),X_52),X_52),c_PropLog_Othms(X_51,X_52),tc_PropLog_Opl(X_52))
| c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Oop_A_N_62(V_q,V_r,X_52),X_52),c_PropLog_Opl_Oop_A_N_62(V_p,V_q,X_52),X_52),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Oop_A_N_62(V_q,V_r,X_52),X_52),c_PropLog_Opl_Oop_A_N_62(V_p,V_r,X_52),X_52),X_52),c_PropLog_Othms(X_51,X_52),tc_PropLog_Opl(X_52)) ),
inference(subst,[],[refute_0_7:[bind(V_p,$fot(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Oop_A_N_62(V_q,V_r,X_52),X_52))),bind(V_q,$fot(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,X_52))),bind(V_r,$fot(c_PropLog_Opl_Oop_A_N_62(V_p,V_r,X_52))),bind(X_10,$fot(X_51)),bind(X_9,$fot(X_52))]]) ).
cnf(refute_0_9,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Oop_A_N_62(V_q,V_r,X_52),X_52),c_PropLog_Opl_Oop_A_N_62(V_p,V_q,X_52),X_52),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Oop_A_N_62(V_q,V_r,X_52),X_52),c_PropLog_Opl_Oop_A_N_62(V_p,V_r,X_52),X_52),X_52),c_PropLog_Othms(X_51,X_52),tc_PropLog_Opl(X_52)),
inference(resolve,[$cnf( c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Oop_A_N_62(V_q,V_r,X_52),X_52),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,X_52),c_PropLog_Opl_Oop_A_N_62(V_p,V_r,X_52),X_52),X_52),c_PropLog_Othms(X_51,X_52),tc_PropLog_Opl(X_52)) )],[refute_0_4,refute_0_8]) ).
cnf(refute_0_10,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X_75,c_PropLog_Opl_Oop_A_N_62(X_76,X_77,X_79),X_79),c_PropLog_Opl_Oop_A_N_62(X_75,X_76,X_79),X_79),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X_75,c_PropLog_Opl_Oop_A_N_62(X_76,X_77,X_79),X_79),c_PropLog_Opl_Oop_A_N_62(X_75,X_77,X_79),X_79),X_79),c_PropLog_Othms(X_78,X_79),tc_PropLog_Opl(X_79)),
inference(subst,[],[refute_0_9:[bind(V_p,$fot(X_75)),bind(V_q,$fot(X_76)),bind(V_r,$fot(X_77)),bind(X_51,$fot(X_78)),bind(X_52,$fot(X_79))]]) ).
cnf(refute_0_11,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(V_q,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X_75,c_PropLog_Opl_Oop_A_N_62(X_76,X_77,X_79),X_79),c_PropLog_Opl_Oop_A_N_62(X_75,X_76,X_79),X_79),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X_75,c_PropLog_Opl_Oop_A_N_62(X_76,X_77,X_79),X_79),c_PropLog_Opl_Oop_A_N_62(X_75,X_77,X_79),X_79),X_79),X_79),c_PropLog_Othms(X_78,X_79),tc_PropLog_Opl(X_79)),
inference(resolve,[$cnf( c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X_75,c_PropLog_Opl_Oop_A_N_62(X_76,X_77,X_79),X_79),c_PropLog_Opl_Oop_A_N_62(X_75,X_76,X_79),X_79),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X_75,c_PropLog_Opl_Oop_A_N_62(X_76,X_77,X_79),X_79),c_PropLog_Opl_Oop_A_N_62(X_75,X_77,X_79),X_79),X_79),c_PropLog_Othms(X_78,X_79),tc_PropLog_Opl(X_79)) )],[refute_0_10,refute_0_3]) ).
cnf(refute_0_12,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(X_221,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X_75,c_PropLog_Opl_Oop_A_N_62(X_76,X_77,X_223),X_223),c_PropLog_Opl_Oop_A_N_62(X_75,X_76,X_223),X_223),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X_75,c_PropLog_Opl_Oop_A_N_62(X_76,X_77,X_223),X_223),c_PropLog_Opl_Oop_A_N_62(X_75,X_77,X_223),X_223),X_223),X_223),c_PropLog_Othms(X_222,X_223),tc_PropLog_Opl(X_223)),
inference(subst,[],[refute_0_11:[bind(V_q,$fot(X_221)),bind(X_78,$fot(X_222)),bind(X_79,$fot(X_223))]]) ).
cnf(refute_0_13,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X_54,X_53,X_56),c_PropLog_Othms(X_55,X_56),tc_PropLog_Opl(X_56))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X_54,X_53,X_56),c_PropLog_Opl_Oop_A_N_62(X_54,X_54,X_56),X_56),c_PropLog_Othms(X_55,X_56),tc_PropLog_Opl(X_56))
| c_in(c_PropLog_Opl_Oop_A_N_62(X_54,X_54,X_56),c_PropLog_Othms(X_55,X_56),tc_PropLog_Opl(X_56)) ),
inference(subst,[],[cls_PropLog_Othms_OMP_0:[bind(T_a,$fot(X_56)),bind(V_H,$fot(X_55)),bind(V_p,$fot(c_PropLog_Opl_Oop_A_N_62(X_54,X_53,X_56))),bind(V_q,$fot(c_PropLog_Opl_Oop_A_N_62(X_54,X_54,X_56)))]]) ).
cnf(refute_0_14,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(X_50,c_PropLog_Opl_Oop_A_N_62(X_49,X_50,X_52),X_52),c_PropLog_Othms(X_51,X_52),tc_PropLog_Opl(X_52)),
inference(subst,[],[cls_PropLog_Othms_OK_0:[bind(T_a,$fot(X_52)),bind(V_H,$fot(X_51)),bind(V_p,$fot(X_50)),bind(V_q,$fot(X_49))]]) ).
cnf(refute_0_15,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X_50,c_PropLog_Opl_Oop_A_N_62(X_49,X_50,X_52),X_52),c_PropLog_Othms(X_51,X_52),tc_PropLog_Opl(X_52))
| c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X_50,X_49,X_52),c_PropLog_Opl_Oop_A_N_62(X_50,X_50,X_52),X_52),c_PropLog_Othms(X_51,X_52),tc_PropLog_Opl(X_52)) ),
inference(subst,[],[refute_0_7:[bind(V_p,$fot(X_50)),bind(V_q,$fot(X_49)),bind(V_r,$fot(X_50)),bind(X_10,$fot(X_51)),bind(X_9,$fot(X_52))]]) ).
cnf(refute_0_16,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X_50,X_49,X_52),c_PropLog_Opl_Oop_A_N_62(X_50,X_50,X_52),X_52),c_PropLog_Othms(X_51,X_52),tc_PropLog_Opl(X_52)),
inference(resolve,[$cnf( c_in(c_PropLog_Opl_Oop_A_N_62(X_50,c_PropLog_Opl_Oop_A_N_62(X_49,X_50,X_52),X_52),c_PropLog_Othms(X_51,X_52),tc_PropLog_Opl(X_52)) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X_54,X_53,X_56),c_PropLog_Opl_Oop_A_N_62(X_54,X_54,X_56),X_56),c_PropLog_Othms(X_55,X_56),tc_PropLog_Opl(X_56)),
inference(subst,[],[refute_0_16:[bind(X_49,$fot(X_53)),bind(X_50,$fot(X_54)),bind(X_51,$fot(X_55)),bind(X_52,$fot(X_56))]]) ).
cnf(refute_0_18,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X_54,X_53,X_56),c_PropLog_Othms(X_55,X_56),tc_PropLog_Opl(X_56))
| c_in(c_PropLog_Opl_Oop_A_N_62(X_54,X_54,X_56),c_PropLog_Othms(X_55,X_56),tc_PropLog_Opl(X_56)) ),
inference(resolve,[$cnf( c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X_54,X_53,X_56),c_PropLog_Opl_Oop_A_N_62(X_54,X_54,X_56),X_56),c_PropLog_Othms(X_55,X_56),tc_PropLog_Opl(X_56)) )],[refute_0_17,refute_0_13]) ).
cnf(refute_0_19,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X_221,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X_75,c_PropLog_Opl_Oop_A_N_62(X_76,X_77,X_223),X_223),c_PropLog_Opl_Oop_A_N_62(X_75,X_76,X_223),X_223),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X_75,c_PropLog_Opl_Oop_A_N_62(X_76,X_77,X_223),X_223),c_PropLog_Opl_Oop_A_N_62(X_75,X_77,X_223),X_223),X_223),X_223),c_PropLog_Othms(X_222,X_223),tc_PropLog_Opl(X_223))
| c_in(c_PropLog_Opl_Oop_A_N_62(X_221,X_221,X_223),c_PropLog_Othms(X_222,X_223),tc_PropLog_Opl(X_223)) ),
inference(subst,[],[refute_0_18:[bind(X_53,$fot(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X_75,c_PropLog_Opl_Oop_A_N_62(X_76,X_77,X_223),X_223),c_PropLog_Opl_Oop_A_N_62(X_75,X_76,X_223),X_223),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X_75,c_PropLog_Opl_Oop_A_N_62(X_76,X_77,X_223),X_223),c_PropLog_Opl_Oop_A_N_62(X_75,X_77,X_223),X_223),X_223))),bind(X_54,$fot(X_221)),bind(X_55,$fot(X_222)),bind(X_56,$fot(X_223))]]) ).
cnf(refute_0_20,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(X_221,X_221,X_223),c_PropLog_Othms(X_222,X_223),tc_PropLog_Opl(X_223)),
inference(resolve,[$cnf( c_in(c_PropLog_Opl_Oop_A_N_62(X_221,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X_75,c_PropLog_Opl_Oop_A_N_62(X_76,X_77,X_223),X_223),c_PropLog_Opl_Oop_A_N_62(X_75,X_76,X_223),X_223),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X_75,c_PropLog_Opl_Oop_A_N_62(X_76,X_77,X_223),X_223),c_PropLog_Opl_Oop_A_N_62(X_75,X_77,X_223),X_223),X_223),X_223),c_PropLog_Othms(X_222,X_223),tc_PropLog_Opl(X_223)) )],[refute_0_12,refute_0_19]) ).
cnf(refute_0_21,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_p,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(subst,[],[refute_0_20:[bind(X_221,$fot(v_p)),bind(X_222,$fot(v_H)),bind(X_223,$fot(t_a))]]) ).
cnf(refute_0_22,plain,
$false,
inference(resolve,[$cnf( c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_p,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) )],[refute_0_21,cls_conjecture_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : LCL446-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 4 12:16:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.38 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38
% 0.12/0.38 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.39
%------------------------------------------------------------------------------