TSTP Solution File: SET836-2 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SET836-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n007.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 : Tue Jul 19 03:37:38 EDT 2022
% Result : Unsatisfiable 0.13s 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 9 ( 5 unt; 0 nHn; 9 RR)
% Number of literals : 15 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_OsubsetD_0,axiom,
( ~ c_in(V_c,V_A,T_a)
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| c_in(V_c,V_B,T_a) ) ).
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(v_Z,v_X,tc_set(t_a)) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(v_x,v_Z,t_a) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_in(v_x,v_X,t_a) ).
cnf(refute_0_0,plain,
( ~ c_in(X_3,v_Z,t_a)
| ~ c_lessequals(v_Z,v_X,tc_set(t_a))
| c_in(X_3,v_X,t_a) ),
inference(subst,[],[cls_Set_OsubsetD_0:[bind(T_a,$fot(t_a)),bind(V_A,$fot(v_Z)),bind(V_B,$fot(v_X)),bind(V_c,$fot(X_3))]]) ).
cnf(refute_0_1,plain,
( ~ c_in(X_3,v_Z,t_a)
| c_in(X_3,v_X,t_a) ),
inference(resolve,[$cnf( c_lessequals(v_Z,v_X,tc_set(t_a)) )],[cls_conjecture_1,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ c_in(v_x,v_Z,t_a)
| c_in(v_x,v_X,t_a) ),
inference(subst,[],[refute_0_1:[bind(X_3,$fot(v_x))]]) ).
cnf(refute_0_3,plain,
c_in(v_x,v_X,t_a),
inference(resolve,[$cnf( c_in(v_x,v_Z,t_a) )],[cls_conjecture_2,refute_0_2]) ).
cnf(refute_0_4,plain,
$false,
inference(resolve,[$cnf( c_in(v_x,v_X,t_a) )],[refute_0_3,cls_conjecture_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET836-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jul 9 17:11:31 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.34 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34
% 0.13/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.34
%------------------------------------------------------------------------------