%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN216-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n024.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 12:19:31 EDT 2022

% Result   : Unsatisfiable 0.18s 0.48s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   14 (   8 unt;   0 nHn;  14 RR)
%            Number of literals    :   24 (   0 equ;  14 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ~ l2(a,a),
    file('SYN216-1.p',unknown),
    [] ).

cnf(15,axiom,
    p0(b,u),
    file('SYN216-1.p',unknown),
    [] ).

cnf(17,axiom,
    m0(c,b,a),
    file('SYN216-1.p',unknown),
    [] ).

cnf(18,axiom,
    q0(u,d),
    file('SYN216-1.p',unknown),
    [] ).

cnf(164,axiom,
    ( ~ p0(u,u)
    | s1(u) ),
    file('SYN216-1.p',unknown),
    [] ).

cnf(165,axiom,
    ( ~ s1(u)
    | ~ q0(v,w)
    | s1(v) ),
    file('SYN216-1.p',unknown),
    [] ).

cnf(172,axiom,
    ( ~ s1(u)
    | ~ p0(v,v)
    | ~ m0(w,u,x)
    | l2(x,x) ),
    file('SYN216-1.p',unknown),
    [] ).

cnf(421,plain,
    ( ~ s1(u)
    | ~ p0(v,v)
    | ~ m0(w,u,a) ),
    inference(res,[status(thm),theory(equality)],[172,1]),
    [iquote('0:Res:172.3,1.0')] ).

cnf(456,plain,
    s1(b),
    inference(res,[status(thm),theory(equality)],[15,164]),
    [iquote('0:Res:15.0,164.0')] ).

cnf(604,plain,
    ( ~ q0(u,v)
    | s1(u) ),
    inference(ems,[status(thm)],[165,456]),
    [iquote('0:EmS:165.0,456.0')] ).

cnf(610,plain,
    s1(u),
    inference(res,[status(thm),theory(equality)],[18,604]),
    [iquote('0:Res:18.0,604.0')] ).

cnf(615,plain,
    ( ~ p0(u,u)
    | ~ m0(v,w,a) ),
    inference(mrr,[status(thm)],[421,610]),
    [iquote('0:MRR:421.0,610.0')] ).

cnf(624,plain,
    ~ p0(u,u),
    inference(res,[status(thm),theory(equality)],[17,615]),
    [iquote('0:Res:17.0,615.1')] ).

cnf(628,plain,
    $false,
    inference(unc,[status(thm)],[624,15]),
    [iquote('0:UnC:624.0,15.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SYN216-1 : TPTP v8.1.0. Released v1.1.0.
% 0.10/0.12  % Command  : run_spass %d %s
% 0.11/0.33  % Computer : n024.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Mon Jul 11 20:26:28 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.48  
% 0.18/0.48  SPASS V 3.9 
% 0.18/0.48  SPASS beiseite: Proof found.
% 0.18/0.48  % SZS status Theorem
% 0.18/0.48  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.48  SPASS derived 174 clauses, backtracked 0 clauses, performed 0 splits and kept 440 clauses.
% 0.18/0.48  SPASS allocated 76172 KBytes.
% 0.18/0.48  SPASS spent	0:00:00.13 on the problem.
% 0.18/0.48  		0:00:00.04 for the input.
% 0.18/0.48  		0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.48  		0:00:00.00 for inferences.
% 0.18/0.48  		0:00:00.00 for the backtracking.
% 0.18/0.48  		0:00:00.04 for the reduction.
% 0.18/0.48  
% 0.18/0.48  
% 0.18/0.48  Here is a proof with depth 3, length 14 :
% 0.18/0.48  % SZS output start Refutation
% See solution above
% 0.18/0.48  Formulae used in the proof : prove_this axiom_14 axiom_16 axiom_17 rule_125 rule_126 rule_133
% 0.18/0.48  
%------------------------------------------------------------------------------