%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN219-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %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 : Thu Jul 21 12:19:32 EDT 2022

% Result   : Unsatisfiable 0.18s 0.49s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   19 (  10 unt;   0 nHn;  19 RR)
%            Number of literals    :   35 (   0 equ;  20 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ~ l2(e,b),
    file('SYN219-1.p',unknown),
    [] ).

cnf(12,axiom,
    n0(e,b),
    file('SYN219-1.p',unknown),
    [] ).

cnf(15,axiom,
    p0(b,u),
    file('SYN219-1.p',unknown),
    [] ).

cnf(18,axiom,
    q0(u,d),
    file('SYN219-1.p',unknown),
    [] ).

cnf(20,axiom,
    m0(u,d,v),
    file('SYN219-1.p',unknown),
    [] ).

cnf(164,axiom,
    ( ~ p0(u,u)
    | s1(u) ),
    file('SYN219-1.p',unknown),
    [] ).

cnf(165,axiom,
    ( ~ s1(u)
    | ~ q0(v,w)
    | s1(v) ),
    file('SYN219-1.p',unknown),
    [] ).

cnf(170,axiom,
    ( ~ s1(u)
    | ~ l2(v,v)
    | ~ n0(e,v)
    | l2(u,v) ),
    file('SYN219-1.p',unknown),
    [] ).

cnf(172,axiom,
    ( ~ s1(u)
    | ~ p0(v,v)
    | ~ m0(w,u,x)
    | l2(x,x) ),
    file('SYN219-1.p',unknown),
    [] ).

cnf(419,plain,
    ( ~ s1(e)
    | ~ n0(e,b)
    | ~ l2(b,b) ),
    inference(res,[status(thm),theory(equality)],[170,1]),
    [iquote('0:Res:170.3,1.0')] ).

cnf(420,plain,
    ( ~ s1(e)
    | ~ l2(b,b) ),
    inference(mrr,[status(thm)],[419,12]),
    [iquote('0:MRR:419.1,12.0')] ).

cnf(455,plain,
    s1(b),
    inference(res,[status(thm),theory(equality)],[15,164]),
    [iquote('0:Res:15.0,164.0')] ).

cnf(603,plain,
    ( ~ q0(u,v)
    | s1(u) ),
    inference(ems,[status(thm)],[165,455]),
    [iquote('0:EmS:165.0,455.0')] ).

cnf(609,plain,
    s1(u),
    inference(res,[status(thm),theory(equality)],[18,603]),
    [iquote('0:Res:18.0,603.0')] ).

cnf(613,plain,
    ~ l2(b,b),
    inference(mrr,[status(thm)],[420,609]),
    [iquote('0:MRR:420.0,609.0')] ).

cnf(617,plain,
    ( ~ p0(u,u)
    | ~ m0(v,w,x)
    | l2(x,x) ),
    inference(mrr,[status(thm)],[172,609]),
    [iquote('0:MRR:172.0,609.0')] ).

cnf(992,plain,
    ( ~ p0(u,u)
    | l2(v,v) ),
    inference(res,[status(thm),theory(equality)],[20,617]),
    [iquote('0:Res:20.0,617.1')] ).

cnf(1001,plain,
    l2(u,u),
    inference(res,[status(thm),theory(equality)],[15,992]),
    [iquote('0:Res:15.0,992.0')] ).

cnf(1002,plain,
    $false,
    inference(unc,[status(thm)],[1001,613]),
    [iquote('0:UnC:1001.0,613.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN219-1 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n007.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 : Mon Jul 11 21:42:18 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.49  
% 0.18/0.49  SPASS V 3.9 
% 0.18/0.49  SPASS beiseite: Proof found.
% 0.18/0.49  % SZS status Theorem
% 0.18/0.49  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.49  SPASS derived 509 clauses, backtracked 0 clauses, performed 0 splits and kept 601 clauses.
% 0.18/0.49  SPASS allocated 76368 KBytes.
% 0.18/0.49  SPASS spent	0:00:00.15 on the problem.
% 0.18/0.49  		0:00:00.04 for the input.
% 0.18/0.49  		0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.49  		0:00:00.00 for inferences.
% 0.18/0.49  		0:00:00.00 for the backtracking.
% 0.18/0.49  		0:00:00.05 for the reduction.
% 0.18/0.49  
% 0.18/0.49  
% 0.18/0.49  Here is a proof with depth 3, length 19 :
% 0.18/0.49  % SZS output start Refutation
% See solution above
% 0.18/0.49  Formulae used in the proof : prove_this axiom_11 axiom_14 axiom_17 axiom_19 rule_125 rule_126 rule_131 rule_133
% 0.18/0.49  
%------------------------------------------------------------------------------