TSTP Solution File: LCL429-2 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL429-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n004.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 12:52:11 EDT 2022
% Result : Unsatisfiable 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of clauses : 31 ( 17 unt; 0 nHn; 17 RR)
% Number of literals : 52 ( 0 equ; 22 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 71 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_PropLog_ODiff__weaken__left_0,axiom,
( ~ c_in(V_p,c_PropLog_Othms(c_minus(V_A,V_B,tc_set(tc_PropLog_Opl(T_a))),T_a),tc_PropLog_Opl(T_a))
| ~ c_lessequals(V_A,V_C,tc_set(tc_PropLog_Opl(T_a)))
| c_in(V_p,c_PropLog_Othms(c_minus(V_C,V_B,tc_set(tc_PropLog_Opl(T_a))),T_a),tc_PropLog_Opl(T_a)) ) ).
cnf(cls_PropLog_Ohyps__Diff_0,axiom,
c_lessequals(c_PropLog_Ohyps(V_p,c_minus(V_t,c_insert(V_v,c_emptyset,T_a),tc_set(T_a)),T_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(V_v,T_a),c_PropLog_Opl_Ofalse,T_a),c_minus(c_PropLog_Ohyps(V_p,V_t,T_a),c_insert(c_PropLog_Opl_Ovar(V_v,T_a),c_emptyset,tc_PropLog_Opl(T_a)),tc_set(tc_PropLog_Opl(T_a))),tc_PropLog_Opl(T_a)),tc_set(tc_PropLog_Opl(T_a))) ).
cnf(cls_PropLog_Oinsert__Diff__same_0,axiom,
c_lessequals(c_minus(V_B,V_C,tc_set(T_a)),c_insert(V_a,c_minus(V_B,c_insert(V_a,V_C,T_a),tc_set(T_a)),T_a),tc_set(T_a)) ).
cnf(cls_PropLog_Oinsert__Diff__subset2_0,axiom,
c_lessequals(c_minus(c_insert(V_a,c_minus(V_B,c_insert(V_c,c_emptyset,T_a),tc_set(T_a)),T_a),V_D,tc_set(T_a)),c_insert(V_a,c_minus(V_B,c_insert(V_c,V_D,T_a),tc_set(T_a)),T_a),tc_set(T_a)) ).
cnf(cls_PropLog_Othms__excluded__middle__rule_0,axiom,
( ~ c_in(V_q,c_PropLog_Othms(c_insert(V_p,V_H,tc_PropLog_Opl(T_a)),T_a),tc_PropLog_Opl(T_a))
| ~ c_in(V_q,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Ofalse,T_a),V_H,tc_PropLog_Opl(T_a)),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_Oweaken__left_0,axiom,
( ~ c_in(V_p,c_PropLog_Othms(V_G,T_a),tc_PropLog_Opl(T_a))
| ~ c_lessequals(V_G,V_H,tc_set(tc_PropLog_Opl(T_a)))
| c_in(V_p,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ) ).
cnf(cls_conjecture_3,negated_conjecture,
c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,V_U,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)) ).
cnf(cls_conjecture_5,negated_conjecture,
~ c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Ovar(v_v,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)) ).
cnf(refute_0_0,plain,
( ~ c_in(v_p,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X_52,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X_51,t_a),c_insert(c_PropLog_Opl_Ovar(X_52,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(v_p,c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(X_52,t_a),c_minus(c_PropLog_Ohyps(v_p,X_51,t_a),c_insert(c_PropLog_Opl_Ovar(X_52,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X_51,t_a),c_insert(c_PropLog_Opl_Ovar(X_52,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)) ),
inference(subst,[],[cls_PropLog_Othms__excluded__middle__rule_0:[bind(T_a,$fot(t_a)),bind(V_H,$fot(c_minus(c_PropLog_Ohyps(v_p,X_51,t_a),c_insert(c_PropLog_Opl_Ovar(X_52,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))))),bind(V_p,$fot(c_PropLog_Opl_Ovar(X_52,t_a))),bind(V_q,$fot(v_p))]]) ).
cnf(refute_0_1,plain,
c_lessequals(c_minus(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X_50,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X_49,t_a),c_insert(c_PropLog_Opl_Ovar(X_50,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),v_F,tc_set(tc_PropLog_Opl(t_a))),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X_50,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X_49,t_a),c_insert(c_PropLog_Opl_Ovar(X_50,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),
inference(subst,[],[cls_PropLog_Oinsert__Diff__subset2_0:[bind(T_a,$fot(tc_PropLog_Opl(t_a))),bind(V_B,$fot(c_PropLog_Ohyps(v_p,X_49,t_a))),bind(V_D,$fot(v_F)),bind(V_a,$fot(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X_50,t_a),c_PropLog_Opl_Ofalse,t_a))),bind(V_c,$fot(c_PropLog_Opl_Ovar(X_50,t_a)))]]) ).
cnf(refute_0_2,plain,
( ~ c_in(v_p,c_PropLog_Othms(c_minus(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X_44,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X_43,t_a),c_insert(c_PropLog_Opl_Ovar(X_44,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a))
| ~ c_lessequals(c_minus(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X_44,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X_43,t_a),c_insert(c_PropLog_Opl_Ovar(X_44,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),v_F,tc_set(tc_PropLog_Opl(t_a))),V_H,tc_set(tc_PropLog_Opl(t_a)))
| c_in(v_p,c_PropLog_Othms(V_H,t_a),tc_PropLog_Opl(t_a)) ),
inference(subst,[],[cls_PropLog_Oweaken__left_0:[bind(T_a,$fot(t_a)),bind(V_G,$fot(c_minus(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X_44,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X_43,t_a),c_insert(c_PropLog_Opl_Ovar(X_44,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),v_F,tc_set(tc_PropLog_Opl(t_a))))),bind(V_p,$fot(v_p))]]) ).
cnf(refute_0_3,plain,
c_lessequals(c_PropLog_Ohyps(v_p,c_minus(V_t,c_insert(V_v,c_emptyset,t_a),tc_set(t_a)),t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(V_v,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,V_t,t_a),c_insert(c_PropLog_Opl_Ovar(V_v,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),
inference(subst,[],[cls_PropLog_Ohyps__Diff_0:[bind(T_a,$fot(t_a)),bind(V_p,$fot(v_p))]]) ).
cnf(refute_0_4,plain,
( ~ c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,V_U,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a))
| ~ c_lessequals(c_PropLog_Ohyps(v_p,V_U,t_a),X_39,tc_set(tc_PropLog_Opl(t_a)))
| c_in(v_p,c_PropLog_Othms(c_minus(X_39,v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)) ),
inference(subst,[],[cls_PropLog_ODiff__weaken__left_0:[bind(T_a,$fot(t_a)),bind(V_A,$fot(c_PropLog_Ohyps(v_p,V_U,t_a))),bind(V_B,$fot(v_F)),bind(V_C,$fot(X_39)),bind(V_p,$fot(v_p))]]) ).
cnf(refute_0_5,plain,
( ~ c_lessequals(c_PropLog_Ohyps(v_p,V_U,t_a),X_39,tc_set(tc_PropLog_Opl(t_a)))
| c_in(v_p,c_PropLog_Othms(c_minus(X_39,v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)) ),
inference(resolve,[$cnf( c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,V_U,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)) )],[cls_conjecture_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ c_lessequals(c_PropLog_Ohyps(v_p,c_minus(V_t,c_insert(V_v,c_emptyset,t_a),tc_set(t_a)),t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(V_v,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,V_t,t_a),c_insert(c_PropLog_Opl_Ovar(V_v,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a)))
| c_in(v_p,c_PropLog_Othms(c_minus(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(V_v,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,V_t,t_a),c_insert(c_PropLog_Opl_Ovar(V_v,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)) ),
inference(subst,[],[refute_0_5:[bind(V_U,$fot(c_minus(V_t,c_insert(V_v,c_emptyset,t_a),tc_set(t_a)))),bind(X_39,$fot(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(V_v,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,V_t,t_a),c_insert(c_PropLog_Opl_Ovar(V_v,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a))))]]) ).
cnf(refute_0_7,plain,
c_in(v_p,c_PropLog_Othms(c_minus(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(V_v,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,V_t,t_a),c_insert(c_PropLog_Opl_Ovar(V_v,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
inference(resolve,[$cnf( c_lessequals(c_PropLog_Ohyps(v_p,c_minus(V_t,c_insert(V_v,c_emptyset,t_a),tc_set(t_a)),t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(V_v,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,V_t,t_a),c_insert(c_PropLog_Opl_Ovar(V_v,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))) )],[refute_0_3,refute_0_6]) ).
cnf(refute_0_8,plain,
c_in(v_p,c_PropLog_Othms(c_minus(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X_44,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X_43,t_a),c_insert(c_PropLog_Opl_Ovar(X_44,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
inference(subst,[],[refute_0_7:[bind(V_t,$fot(X_43)),bind(V_v,$fot(X_44))]]) ).
cnf(refute_0_9,plain,
( ~ c_lessequals(c_minus(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X_44,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X_43,t_a),c_insert(c_PropLog_Opl_Ovar(X_44,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),v_F,tc_set(tc_PropLog_Opl(t_a))),V_H,tc_set(tc_PropLog_Opl(t_a)))
| c_in(v_p,c_PropLog_Othms(V_H,t_a),tc_PropLog_Opl(t_a)) ),
inference(resolve,[$cnf( c_in(v_p,c_PropLog_Othms(c_minus(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X_44,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X_43,t_a),c_insert(c_PropLog_Opl_Ovar(X_44,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)) )],[refute_0_8,refute_0_2]) ).
cnf(refute_0_10,plain,
( ~ c_lessequals(c_minus(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X_50,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X_49,t_a),c_insert(c_PropLog_Opl_Ovar(X_50,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),v_F,tc_set(tc_PropLog_Opl(t_a))),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X_50,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X_49,t_a),c_insert(c_PropLog_Opl_Ovar(X_50,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a)))
| c_in(v_p,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X_50,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X_49,t_a),c_insert(c_PropLog_Opl_Ovar(X_50,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(subst,[],[refute_0_9:[bind(V_H,$fot(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X_50,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X_49,t_a),c_insert(c_PropLog_Opl_Ovar(X_50,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)))),bind(X_43,$fot(X_49)),bind(X_44,$fot(X_50))]]) ).
cnf(refute_0_11,plain,
c_in(v_p,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X_50,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X_49,t_a),c_insert(c_PropLog_Opl_Ovar(X_50,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(resolve,[$cnf( c_lessequals(c_minus(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X_50,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X_49,t_a),c_insert(c_PropLog_Opl_Ovar(X_50,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),v_F,tc_set(tc_PropLog_Opl(t_a))),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X_50,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X_49,t_a),c_insert(c_PropLog_Opl_Ovar(X_50,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))) )],[refute_0_1,refute_0_10]) ).
cnf(refute_0_12,plain,
c_in(v_p,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X_52,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X_51,t_a),c_insert(c_PropLog_Opl_Ovar(X_52,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(subst,[],[refute_0_11:[bind(X_49,$fot(X_51)),bind(X_50,$fot(X_52))]]) ).
cnf(refute_0_13,plain,
( ~ c_in(v_p,c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(X_52,t_a),c_minus(c_PropLog_Ohyps(v_p,X_51,t_a),c_insert(c_PropLog_Opl_Ovar(X_52,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X_51,t_a),c_insert(c_PropLog_Opl_Ovar(X_52,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)) ),
inference(resolve,[$cnf( c_in(v_p,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X_52,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X_51,t_a),c_insert(c_PropLog_Opl_Ovar(X_52,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) )],[refute_0_12,refute_0_0]) ).
cnf(refute_0_14,plain,
c_lessequals(c_minus(c_PropLog_Ohyps(v_p,X_18,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),c_insert(V_a,c_minus(c_PropLog_Ohyps(v_p,X_18,t_a),c_insert(V_a,v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),
inference(subst,[],[cls_PropLog_Oinsert__Diff__same_0:[bind(T_a,$fot(tc_PropLog_Opl(t_a))),bind(V_B,$fot(c_PropLog_Ohyps(v_p,X_18,t_a))),bind(V_C,$fot(v_F))]]) ).
cnf(refute_0_15,plain,
( ~ c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,V_U,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a))
| ~ c_lessequals(c_minus(c_PropLog_Ohyps(v_p,V_U,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),X_16,tc_set(tc_PropLog_Opl(t_a)))
| c_in(v_p,c_PropLog_Othms(X_16,t_a),tc_PropLog_Opl(t_a)) ),
inference(subst,[],[cls_PropLog_Oweaken__left_0:[bind(T_a,$fot(t_a)),bind(V_G,$fot(c_minus(c_PropLog_Ohyps(v_p,V_U,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))))),bind(V_H,$fot(X_16)),bind(V_p,$fot(v_p))]]) ).
cnf(refute_0_16,plain,
( ~ c_lessequals(c_minus(c_PropLog_Ohyps(v_p,V_U,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),X_16,tc_set(tc_PropLog_Opl(t_a)))
| c_in(v_p,c_PropLog_Othms(X_16,t_a),tc_PropLog_Opl(t_a)) ),
inference(resolve,[$cnf( c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,V_U,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)) )],[cls_conjecture_3,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ c_lessequals(c_minus(c_PropLog_Ohyps(v_p,X_18,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),c_insert(V_a,c_minus(c_PropLog_Ohyps(v_p,X_18,t_a),c_insert(V_a,v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a)))
| c_in(v_p,c_PropLog_Othms(c_insert(V_a,c_minus(c_PropLog_Ohyps(v_p,X_18,t_a),c_insert(V_a,v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(subst,[],[refute_0_16:[bind(V_U,$fot(X_18)),bind(X_16,$fot(c_insert(V_a,c_minus(c_PropLog_Ohyps(v_p,X_18,t_a),c_insert(V_a,v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a))))]]) ).
cnf(refute_0_18,plain,
c_in(v_p,c_PropLog_Othms(c_insert(V_a,c_minus(c_PropLog_Ohyps(v_p,X_18,t_a),c_insert(V_a,v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(resolve,[$cnf( c_lessequals(c_minus(c_PropLog_Ohyps(v_p,X_18,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),c_insert(V_a,c_minus(c_PropLog_Ohyps(v_p,X_18,t_a),c_insert(V_a,v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))) )],[refute_0_14,refute_0_17]) ).
cnf(refute_0_19,plain,
c_in(v_p,c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(X_52,t_a),c_minus(c_PropLog_Ohyps(v_p,X_51,t_a),c_insert(c_PropLog_Opl_Ovar(X_52,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(subst,[],[refute_0_18:[bind(V_a,$fot(c_PropLog_Opl_Ovar(X_52,t_a))),bind(X_18,$fot(X_51))]]) ).
cnf(refute_0_20,plain,
c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X_51,t_a),c_insert(c_PropLog_Opl_Ovar(X_52,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
inference(resolve,[$cnf( c_in(v_p,c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(X_52,t_a),c_minus(c_PropLog_Ohyps(v_p,X_51,t_a),c_insert(c_PropLog_Opl_Ovar(X_52,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) )],[refute_0_19,refute_0_13]) ).
cnf(refute_0_21,plain,
c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Ovar(v_v,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
inference(subst,[],[refute_0_20:[bind(X_51,$fot(v_t)),bind(X_52,$fot(v_v))]]) ).
cnf(refute_0_22,plain,
$false,
inference(resolve,[$cnf( c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Ovar(v_v,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)) )],[refute_0_21,cls_conjecture_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL429-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n004.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 11:32:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37
% 0.12/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.38
%------------------------------------------------------------------------------