TSTP Solution File: LCL434-2 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL434-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n014.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 12:52:14 EDT 2022
% Result : Unsatisfiable 0.41s 0.58s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of clauses : 23 ( 9 unt; 6 nHn; 19 RR)
% Number of literals : 41 ( 15 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 16 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_pa,c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(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__I_0,axiom,
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_Oweaken__right_0,axiom,
( ~ c_in(V_q,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)) ) ).
cnf(cls_Set_OinsertE_0,axiom,
( ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a)
| c_in(V_a,V_A,T_a)
| V_a = V_b ) ).
cnf(refute_0_0,plain,
( ~ c_in(v_pa,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
| c_in(c_PropLog_Opl_Oop_A_N_62(V_p,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
inference(subst,[],[cls_PropLog_Oweaken__right_0:[bind(T_a,$fot(t_a)),bind(V_H,$fot(v_H)),bind(V_q,$fot(v_pa))]]) ).
cnf(refute_0_1,plain,
( ~ c_in(v_pa,v_H,tc_PropLog_Opl(t_a))
| c_in(v_pa,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
inference(subst,[],[cls_PropLog_Othms_OH_0:[bind(T_a,$fot(t_a)),bind(V_H,$fot(v_H)),bind(V_p,$fot(v_pa))]]) ).
cnf(refute_0_2,plain,
( ~ c_in(v_pa,c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a))
| v_pa = v_p
| c_in(v_pa,v_H,tc_PropLog_Opl(t_a)) ),
inference(subst,[],[cls_Set_OinsertE_0:[bind(T_a,$fot(tc_PropLog_Opl(t_a))),bind(V_A,$fot(v_H)),bind(V_a,$fot(v_pa)),bind(V_b,$fot(v_p))]]) ).
cnf(refute_0_3,plain,
( v_pa = v_p
| c_in(v_pa,v_H,tc_PropLog_Opl(t_a)) ),
inference(resolve,[$cnf( c_in(v_pa,c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)) )],[cls_conjecture_0,refute_0_2]) ).
cnf(refute_0_4,plain,
( v_pa = v_p
| c_in(v_pa,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
inference(resolve,[$cnf( c_in(v_pa,v_H,tc_PropLog_Opl(t_a)) )],[refute_0_3,refute_0_1]) ).
cnf(refute_0_5,plain,
( v_pa = v_p
| c_in(c_PropLog_Opl_Oop_A_N_62(V_p,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
inference(resolve,[$cnf( c_in(v_pa,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) )],[refute_0_4,refute_0_0]) ).
cnf(refute_0_6,plain,
( v_pa = v_p
| c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
inference(subst,[],[refute_0_5:[bind(V_p,$fot(v_p))]]) ).
cnf(refute_0_7,plain,
v_pa = v_p,
inference(resolve,[$cnf( c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) )],[refute_0_6,cls_conjecture_1]) ).
cnf(refute_0_8,plain,
c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a) = c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a),
introduced(tautology,[refl,[$fot(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a))]]) ).
cnf(refute_0_9,plain,
( c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a) != c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a)
| v_pa != v_p
| c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a) = c_PropLog_Opl_Oop_A_N_62(v_p,v_p,t_a) ),
introduced(tautology,[equality,[$cnf( $equal(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a),c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a)) ),[1,1],$fot(v_p)]]) ).
cnf(refute_0_10,plain,
( v_pa != v_p
| c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a) = c_PropLog_Opl_Oop_A_N_62(v_p,v_p,t_a) ),
inference(resolve,[$cnf( $equal(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a),c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a)) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a) = c_PropLog_Opl_Oop_A_N_62(v_p,v_p,t_a),
inference(resolve,[$cnf( $equal(v_pa,v_p) )],[refute_0_7,refute_0_10]) ).
cnf(refute_0_12,plain,
( c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a) != c_PropLog_Opl_Oop_A_N_62(v_p,v_p,t_a)
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_p,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
| c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
introduced(tautology,[equality,[$cnf( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),[0],$fot(c_PropLog_Opl_Oop_A_N_62(v_p,v_p,t_a))]]) ).
cnf(refute_0_13,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_p,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
| c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
inference(resolve,[$cnf( $equal(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a),c_PropLog_Opl_Oop_A_N_62(v_p,v_p,t_a)) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_p,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(resolve,[$cnf( c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) )],[refute_0_13,cls_conjecture_1]) ).
cnf(refute_0_15,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,[],[cls_PropLog_Othms__I_0:[bind(T_a,$fot(t_a)),bind(V_H,$fot(v_H)),bind(V_p,$fot(v_p))]]) ).
cnf(refute_0_16,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_15,refute_0_14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL434-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jul 3 12:38:54 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.41/0.58 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.58
% 0.41/0.58 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.41/0.58
%------------------------------------------------------------------------------