TSTP Solution File: SET858-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET858-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n019.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  : 300s
% DateTime : Mon Jun 24 14:36:22 EDT 2024

% Result   : Unsatisfiable 6.79s 1.69s
% Output   : CNFRefutation 6.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   40 (  11 unt;  20 nHn;  36 RR)
%            Number of literals    :  138 (  23 equ;  72 neg)
%            Maximal clause size   :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   93 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_50,negated_conjecture,
    c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_51,negated_conjecture,
    ~ c_lessequals(v_n,v_m,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_52,negated_conjecture,
    ~ c_lessequals(v_m,v_n,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_53,plain,
    ( ~ c_lessequals(X0,X1,tc_set(X2))
    | ~ c_lessequals(X3,X0,tc_set(X2))
    | c_lessequals(X3,X1,tc_set(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).

cnf(c_54,plain,
    c_lessequals(X0,c_Zorn_Osucc(X1,X0,X2),tc_set(tc_set(X2))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OAbrial__axiom1_0) ).

cnf(c_55,plain,
    ( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
    | ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
    | c_in(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
    | c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))
    | c_lessequals(X3,X0,tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_0) ).

cnf(c_56,plain,
    ( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
    | ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
    | c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))
    | c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),X0,tc_set(tc_set(X2)))
    | c_lessequals(X3,X0,tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_1) ).

cnf(c_57,plain,
    ( c_Zorn_OTFin__linear__lemma1__1(X0,X1,X2) != X1
    | ~ c_in(X1,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
    | ~ c_in(X3,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
    | c_lessequals(c_Zorn_Osucc(X0,X1,X2),X3,tc_set(tc_set(X2)))
    | c_lessequals(X3,X1,tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_2) ).

cnf(c_58,plain,
    ( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_OTFin__linear__lemma1__1(X0,X1,X2),X2),X1,tc_set(tc_set(X2)))
    | ~ c_in(X1,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
    | ~ c_in(X3,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
    | c_lessequals(c_Zorn_Osucc(X0,X1,X2),X3,tc_set(tc_set(X2)))
    | c_lessequals(X3,X1,tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_3) ).

cnf(c_59,plain,
    ( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
    | ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
    | ~ c_lessequals(X3,X0,tc_set(tc_set(X2)))
    | X0 = X3
    | c_lessequals(c_Zorn_Osucc(X1,X3,X2),X0,tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma2_0) ).

cnf(c_140,plain,
    ( ~ c_in(X0_13,c_Zorn_OTFin(X0_16,X0_15),tc_set(tc_set(X0_15)))
    | ~ c_in(X1_13,c_Zorn_OTFin(X0_16,X0_15),tc_set(tc_set(X0_15)))
    | ~ c_lessequals(X0_13,X1_13,tc_set(tc_set(X0_15)))
    | X1_13 = X0_13
    | c_lessequals(c_Zorn_Osucc(X0_16,X0_13,X0_15),X1_13,tc_set(tc_set(X0_15))) ),
    inference(subtyping,[status(esa)],[c_59]) ).

cnf(c_141,plain,
    ( ~ c_lessequals(c_Zorn_Osucc(X0_16,c_Zorn_OTFin__linear__lemma1__1(X0_16,X0_13,X0_15),X0_15),X0_13,tc_set(tc_set(X0_15)))
    | ~ c_in(X0_13,c_Zorn_OTFin(X0_16,X0_15),tc_set(tc_set(X0_15)))
    | ~ c_in(X1_13,c_Zorn_OTFin(X0_16,X0_15),tc_set(tc_set(X0_15)))
    | c_lessequals(c_Zorn_Osucc(X0_16,X0_13,X0_15),X1_13,tc_set(tc_set(X0_15)))
    | c_lessequals(X1_13,X0_13,tc_set(tc_set(X0_15))) ),
    inference(subtyping,[status(esa)],[c_58]) ).

cnf(c_142,plain,
    ( c_Zorn_OTFin__linear__lemma1__1(X0_16,X0_13,X0_15) != X0_13
    | ~ c_in(X0_13,c_Zorn_OTFin(X0_16,X0_15),tc_set(tc_set(X0_15)))
    | ~ c_in(X1_13,c_Zorn_OTFin(X0_16,X0_15),tc_set(tc_set(X0_15)))
    | c_lessequals(c_Zorn_Osucc(X0_16,X0_13,X0_15),X1_13,tc_set(tc_set(X0_15)))
    | c_lessequals(X1_13,X0_13,tc_set(tc_set(X0_15))) ),
    inference(subtyping,[status(esa)],[c_57]) ).

cnf(c_143,plain,
    ( ~ c_in(X0_13,c_Zorn_OTFin(X0_16,X0_15),tc_set(tc_set(X0_15)))
    | ~ c_in(X1_13,c_Zorn_OTFin(X0_16,X0_15),tc_set(tc_set(X0_15)))
    | c_lessequals(c_Zorn_Osucc(X0_16,X1_13,X0_15),X0_13,tc_set(tc_set(X0_15)))
    | c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X0_16,X1_13,X0_15),X1_13,tc_set(tc_set(X0_15)))
    | c_lessequals(X0_13,X1_13,tc_set(tc_set(X0_15))) ),
    inference(subtyping,[status(esa)],[c_56]) ).

cnf(c_144,plain,
    ( ~ c_in(X0_13,c_Zorn_OTFin(X0_16,X0_15),tc_set(tc_set(X0_15)))
    | ~ c_in(X1_13,c_Zorn_OTFin(X0_16,X0_15),tc_set(tc_set(X0_15)))
    | c_in(c_Zorn_OTFin__linear__lemma1__1(X0_16,X1_13,X0_15),c_Zorn_OTFin(X0_16,X0_15),tc_set(tc_set(X0_15)))
    | c_lessequals(c_Zorn_Osucc(X0_16,X1_13,X0_15),X0_13,tc_set(tc_set(X0_15)))
    | c_lessequals(X0_13,X1_13,tc_set(tc_set(X0_15))) ),
    inference(subtyping,[status(esa)],[c_55]) ).

cnf(c_145,plain,
    c_lessequals(X0_13,c_Zorn_Osucc(X0_16,X0_13,X0_15),tc_set(tc_set(X0_15))),
    inference(subtyping,[status(esa)],[c_54]) ).

cnf(c_146,plain,
    ( ~ c_lessequals(X0_13,X1_13,tc_set(X0_15))
    | ~ c_lessequals(X2_13,X0_13,tc_set(X0_15))
    | c_lessequals(X2_13,X1_13,tc_set(X0_15)) ),
    inference(subtyping,[status(esa)],[c_53]) ).

cnf(c_159,plain,
    X0_13 = X0_13,
    theory(equality) ).

cnf(c_162,plain,
    ( X0_13 != X1_13
    | X2_13 != X1_13
    | X2_13 = X0_13 ),
    theory(equality) ).

cnf(c_181,plain,
    c_lessequals(v_m,c_Zorn_Osucc(v_S,v_m,t_a),tc_set(tc_set(t_a))),
    inference(instantiation,[status(thm)],[c_145]) ).

cnf(c_529,plain,
    ( ~ c_lessequals(c_Zorn_Osucc(X0_16,X0_13,X0_15),X1_13,tc_set(tc_set(X0_15)))
    | ~ c_lessequals(X0_13,c_Zorn_Osucc(X0_16,X0_13,X0_15),tc_set(tc_set(X0_15)))
    | c_lessequals(X0_13,X1_13,tc_set(tc_set(X0_15))) ),
    inference(instantiation,[status(thm)],[c_146]) ).

cnf(c_1476,plain,
    ( ~ c_in(X0_13,c_Zorn_OTFin(X0_16,X0_15),tc_set(tc_set(X0_15)))
    | ~ c_in(v_n,c_Zorn_OTFin(X0_16,X0_15),tc_set(tc_set(X0_15)))
    | c_in(c_Zorn_OTFin__linear__lemma1__1(X0_16,X0_13,X0_15),c_Zorn_OTFin(X0_16,X0_15),tc_set(tc_set(X0_15)))
    | c_lessequals(c_Zorn_Osucc(X0_16,X0_13,X0_15),v_n,tc_set(tc_set(X0_15)))
    | c_lessequals(v_n,X0_13,tc_set(tc_set(X0_15))) ),
    inference(instantiation,[status(thm)],[c_144]) ).

cnf(c_1477,plain,
    ( ~ c_in(X0_13,c_Zorn_OTFin(X0_16,X0_15),tc_set(tc_set(X0_15)))
    | ~ c_in(v_n,c_Zorn_OTFin(X0_16,X0_15),tc_set(tc_set(X0_15)))
    | c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X0_16,X0_13,X0_15),X0_13,tc_set(tc_set(X0_15)))
    | c_lessequals(c_Zorn_Osucc(X0_16,X0_13,X0_15),v_n,tc_set(tc_set(X0_15)))
    | c_lessequals(v_n,X0_13,tc_set(tc_set(X0_15))) ),
    inference(instantiation,[status(thm)],[c_143]) ).

cnf(c_1478,plain,
    ( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_n,tc_set(tc_set(t_a)))
    | c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),v_m,tc_set(tc_set(t_a)))
    | c_lessequals(v_n,v_m,tc_set(tc_set(t_a))) ),
    inference(instantiation,[status(thm)],[c_1477]) ).

cnf(c_1479,plain,
    ( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_n,tc_set(tc_set(t_a)))
    | c_lessequals(v_n,v_m,tc_set(tc_set(t_a))) ),
    inference(instantiation,[status(thm)],[c_1476]) ).

cnf(c_1481,plain,
    ( ~ c_lessequals(c_Zorn_Osucc(X0_16,c_Zorn_OTFin__linear__lemma1__1(X0_16,X0_13,X0_15),X0_15),X0_13,tc_set(tc_set(X0_15)))
    | ~ c_in(X0_13,c_Zorn_OTFin(X0_16,X0_15),tc_set(tc_set(X0_15)))
    | ~ c_in(v_n,c_Zorn_OTFin(X0_16,X0_15),tc_set(tc_set(X0_15)))
    | c_lessequals(c_Zorn_Osucc(X0_16,X0_13,X0_15),v_n,tc_set(tc_set(X0_15)))
    | c_lessequals(v_n,X0_13,tc_set(tc_set(X0_15))) ),
    inference(instantiation,[status(thm)],[c_141]) ).

cnf(c_1482,plain,
    ( c_Zorn_OTFin__linear__lemma1__1(X0_16,X0_13,X0_15) != X0_13
    | ~ c_in(X0_13,c_Zorn_OTFin(X0_16,X0_15),tc_set(tc_set(X0_15)))
    | ~ c_in(v_n,c_Zorn_OTFin(X0_16,X0_15),tc_set(tc_set(X0_15)))
    | c_lessequals(c_Zorn_Osucc(X0_16,X0_13,X0_15),v_n,tc_set(tc_set(X0_15)))
    | c_lessequals(v_n,X0_13,tc_set(tc_set(X0_15))) ),
    inference(instantiation,[status(thm)],[c_142]) ).

cnf(c_1483,plain,
    ( c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a) != v_m
    | ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_n,tc_set(tc_set(t_a)))
    | c_lessequals(v_n,v_m,tc_set(tc_set(t_a))) ),
    inference(instantiation,[status(thm)],[c_1482]) ).

cnf(c_1484,plain,
    ( ~ c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),v_m,tc_set(tc_set(t_a)))
    | ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_n,tc_set(tc_set(t_a)))
    | c_lessequals(v_n,v_m,tc_set(tc_set(t_a))) ),
    inference(instantiation,[status(thm)],[c_1481]) ).

cnf(c_2422,plain,
    ( c_Zorn_OTFin__linear__lemma1__1(X0_16,X0_13,X0_15) != X1_13
    | X0_13 != X1_13
    | c_Zorn_OTFin__linear__lemma1__1(X0_16,X0_13,X0_15) = X0_13 ),
    inference(instantiation,[status(thm)],[c_162]) ).

cnf(c_3878,plain,
    ( ~ c_in(c_Zorn_OTFin__linear__lemma1__1(X0_16,X0_13,X0_15),c_Zorn_OTFin(X1_16,X1_15),tc_set(tc_set(X1_15)))
    | ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X0_16,X0_13,X0_15),X1_13,tc_set(tc_set(X1_15)))
    | ~ c_in(X1_13,c_Zorn_OTFin(X1_16,X1_15),tc_set(tc_set(X1_15)))
    | X1_13 = c_Zorn_OTFin__linear__lemma1__1(X0_16,X0_13,X0_15)
    | c_lessequals(c_Zorn_Osucc(X1_16,c_Zorn_OTFin__linear__lemma1__1(X0_16,X0_13,X0_15),X1_15),X1_13,tc_set(tc_set(X1_15))) ),
    inference(instantiation,[status(thm)],[c_140]) ).

cnf(c_3879,plain,
    ( ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),v_m,tc_set(tc_set(t_a)))
    | ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | v_m = c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a)
    | c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),v_m,tc_set(tc_set(t_a))) ),
    inference(instantiation,[status(thm)],[c_3878]) ).

cnf(c_3881,plain,
    c_Zorn_OTFin__linear__lemma1__1(X0_16,X0_13,X0_15) = c_Zorn_OTFin__linear__lemma1__1(X0_16,X0_13,X0_15),
    inference(instantiation,[status(thm)],[c_159]) ).

cnf(c_3882,plain,
    c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a) = c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),
    inference(instantiation,[status(thm)],[c_3881]) ).

cnf(c_6232,plain,
    ( ~ c_lessequals(X0_13,c_Zorn_Osucc(X0_16,X0_13,X0_15),tc_set(tc_set(X0_15)))
    | ~ c_lessequals(c_Zorn_Osucc(X0_16,X0_13,X0_15),v_n,tc_set(tc_set(X0_15)))
    | c_lessequals(X0_13,v_n,tc_set(tc_set(X0_15))) ),
    inference(instantiation,[status(thm)],[c_529]) ).

cnf(c_6233,plain,
    ( ~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_n,tc_set(tc_set(t_a)))
    | ~ c_lessequals(v_m,c_Zorn_Osucc(v_S,v_m,t_a),tc_set(tc_set(t_a)))
    | c_lessequals(v_m,v_n,tc_set(tc_set(t_a))) ),
    inference(instantiation,[status(thm)],[c_6232]) ).

cnf(c_11757,plain,
    ( c_Zorn_OTFin__linear__lemma1__1(X0_16,X0_13,X0_15) != c_Zorn_OTFin__linear__lemma1__1(X0_16,X0_13,X0_15)
    | X0_13 != c_Zorn_OTFin__linear__lemma1__1(X0_16,X0_13,X0_15)
    | c_Zorn_OTFin__linear__lemma1__1(X0_16,X0_13,X0_15) = X0_13 ),
    inference(instantiation,[status(thm)],[c_2422]) ).

cnf(c_11758,plain,
    ( c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a) != c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a)
    | v_m != c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a)
    | c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a) = v_m ),
    inference(instantiation,[status(thm)],[c_11757]) ).

cnf(c_11759,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_11758,c_6233,c_3882,c_3879,c_1484,c_1483,c_1479,c_1478,c_181,c_49,c_50,c_51,c_52]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET858-2 : TPTP v8.2.0. Released v3.2.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n019.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  : 300
% 0.12/0.34  % DateTime : Sun Jun 23 16:33:24 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.79/1.69  % SZS status Started for theBenchmark.p
% 6.79/1.69  % SZS status Unsatisfiable for theBenchmark.p
% 6.79/1.69  
% 6.79/1.69  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 6.79/1.69  
% 6.79/1.69  ------  iProver source info
% 6.79/1.69  
% 6.79/1.69  git: date: 2024-06-12 09:56:46 +0000
% 6.79/1.69  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 6.79/1.69  git: non_committed_changes: false
% 6.79/1.69  
% 6.79/1.69  ------ Parsing...successful
% 6.79/1.69  
% 6.79/1.69  
% 6.79/1.69  
% 6.79/1.69  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 6.79/1.69  
% 6.79/1.69  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 6.79/1.69  
% 6.79/1.69  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 6.79/1.69  ------ Proving...
% 6.79/1.69  ------ Problem Properties 
% 6.79/1.69  
% 6.79/1.69  
% 6.79/1.69  clauses                                 14
% 6.79/1.69  conjectures                             4
% 6.79/1.69  EPR                                     4
% 6.79/1.69  Horn                                    9
% 6.79/1.69  unary                                   8
% 6.79/1.69  binary                                  0
% 6.79/1.69  lits                                    36
% 6.79/1.69  lits eq                                 5
% 6.79/1.69  fd_pure                                 0
% 6.79/1.69  fd_pseudo                               0
% 6.79/1.69  fd_cond                                 0
% 6.79/1.69  fd_pseudo_cond                          1
% 6.79/1.69  AC symbols                              0
% 6.79/1.69  
% 6.79/1.69  ------ Input Options Time Limit: Unbounded
% 6.79/1.69  
% 6.79/1.69  
% 6.79/1.69  ------ 
% 6.79/1.69  Current options:
% 6.79/1.69  ------ 
% 6.79/1.69  
% 6.79/1.69  
% 6.79/1.69  
% 6.79/1.69  
% 6.79/1.69  ------ Proving...
% 6.79/1.69  
% 6.79/1.69  
% 6.79/1.69  % SZS status Unsatisfiable for theBenchmark.p
% 6.79/1.69  
% 6.79/1.69  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.79/1.69  
% 6.79/1.69  
%------------------------------------------------------------------------------