TSTP Solution File: LCL433-2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL433-2 : 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 12:52:13 EDT 2022
% Result : Unsatisfiable 1.95s 2.14s
% Output : CNFRefutation 1.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 11 unt; 0 nHn; 17 RR)
% Number of literals : 37 ( 0 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 32 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ).
cnf(cls_conjecture_4,negated_conjecture,
( c_in(V_U,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a))
| ~ c_PropLog_Osat(v_F,V_U,t_a) ) ).
cnf(cls_PropLog_Osat__imp_0,axiom,
( ~ c_PropLog_Osat(c_insert(V_p,V_H,tc_PropLog_Opl(T_a)),V_q,T_a)
| c_PropLog_Osat(V_H,c_PropLog_Opl_Oop_A_N_62(V_p,V_q,T_a),T_a) ) ).
cnf(cls_PropLog_Othms_OH_0,axiom,
( ~ c_in(V_p,V_H,tc_PropLog_Opl(T_a))
| c_in(V_p,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_Oweaken__left__insert_0,axiom,
( ~ c_in(V_p,c_PropLog_Othms(V_G,T_a),tc_PropLog_Opl(T_a))
| c_in(V_p,c_PropLog_Othms(c_insert(V_a,V_G,tc_PropLog_Opl(T_a)),T_a),tc_PropLog_Opl(T_a)) ) ).
cnf(cls_Set_OinsertCI_1,axiom,
c_in(V_x,c_insert(V_x,V_B,T_a),T_a) ).
cnf(refute_0_0,plain,
c_in(X_6,c_insert(X_6,V_B,tc_PropLog_Opl(X_4)),tc_PropLog_Opl(X_4)),
inference(subst,[],[cls_Set_OinsertCI_1:[bind(T_a,$fot(tc_PropLog_Opl(X_4))),bind(V_x,$fot(X_6))]]) ).
cnf(refute_0_1,plain,
( ~ c_in(X_6,c_insert(X_6,V_B,tc_PropLog_Opl(X_4)),tc_PropLog_Opl(X_4))
| c_in(X_6,c_PropLog_Othms(c_insert(X_6,V_B,tc_PropLog_Opl(X_4)),X_4),tc_PropLog_Opl(X_4)) ),
inference(subst,[],[cls_PropLog_Othms_OH_0:[bind(T_a,$fot(X_4)),bind(V_H,$fot(c_insert(X_6,V_B,tc_PropLog_Opl(X_4)))),bind(V_p,$fot(X_6))]]) ).
cnf(refute_0_2,plain,
c_in(X_6,c_PropLog_Othms(c_insert(X_6,V_B,tc_PropLog_Opl(X_4)),X_4),tc_PropLog_Opl(X_4)),
inference(resolve,[$cnf( c_in(X_6,c_insert(X_6,V_B,tc_PropLog_Opl(X_4)),tc_PropLog_Opl(X_4)) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
c_in(v_x,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(subst,[],[refute_0_2:[bind(V_B,$fot(v_F)),bind(X_4,$fot(t_a)),bind(X_6,$fot(v_x))]]) ).
cnf(refute_0_4,plain,
( ~ c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),t_a)
| c_in(c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a)) ),
inference(subst,[],[cls_conjecture_4:[bind(V_U,$fot(c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a)))]]) ).
cnf(refute_0_5,plain,
( ~ c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a)
| c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),t_a) ),
inference(subst,[],[cls_PropLog_Osat__imp_0:[bind(T_a,$fot(t_a)),bind(V_H,$fot(v_F)),bind(V_p,$fot(v_x)),bind(V_q,$fot(v_xa))]]) ).
cnf(refute_0_6,plain,
c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),t_a),
inference(resolve,[$cnf( c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a) )],[cls_conjecture_2,refute_0_5]) ).
cnf(refute_0_7,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a)),
inference(resolve,[$cnf( c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),t_a) )],[refute_0_6,refute_0_4]) ).
cnf(refute_0_8,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a))
| c_in(c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),c_PropLog_Othms(c_insert(X_88,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(subst,[],[cls_PropLog_Oweaken__left__insert_0:[bind(T_a,$fot(t_a)),bind(V_G,$fot(v_F)),bind(V_a,$fot(X_88)),bind(V_p,$fot(c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a)))]]) ).
cnf(refute_0_9,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),c_PropLog_Othms(c_insert(X_88,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(resolve,[$cnf( c_in(c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a)) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),c_PropLog_Othms(c_insert(X_88,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(v_x,c_PropLog_Othms(c_insert(X_88,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| c_in(v_xa,c_PropLog_Othms(c_insert(X_88,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(subst,[],[cls_PropLog_Othms_OMP_0:[bind(T_a,$fot(t_a)),bind(V_H,$fot(c_insert(X_88,v_F,tc_PropLog_Opl(t_a)))),bind(V_p,$fot(v_x)),bind(V_q,$fot(v_xa))]]) ).
cnf(refute_0_11,plain,
( ~ c_in(v_x,c_PropLog_Othms(c_insert(X_88,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| c_in(v_xa,c_PropLog_Othms(c_insert(X_88,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(resolve,[$cnf( c_in(c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),c_PropLog_Othms(c_insert(X_88,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ c_in(v_x,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(subst,[],[refute_0_11:[bind(X_88,$fot(v_x))]]) ).
cnf(refute_0_13,plain,
c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(resolve,[$cnf( c_in(v_x,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) )],[refute_0_3,refute_0_12]) ).
cnf(refute_0_14,plain,
$false,
inference(resolve,[$cnf( c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) )],[refute_0_13,cls_conjecture_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL433-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % 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 : Sun Jul 3 08:20:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.95/2.14 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.95/2.14
% 1.95/2.14 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.95/2.14
%------------------------------------------------------------------------------