%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN196-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n015.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 12:19:22 EDT 2022

% Result   : Unsatisfiable 0.18s 0.45s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   6 unt;   0 nHn;   9 RR)
%            Number of literals    :   13 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ~ s1(a),
    file('SYN196-1.p',unknown),
    [] ).

cnf(15,axiom,
    p0(b,u),
    file('SYN196-1.p',unknown),
    [] ).

cnf(18,axiom,
    q0(u,d),
    file('SYN196-1.p',unknown),
    [] ).

cnf(164,axiom,
    ( ~ p0(u,u)
    | s1(u) ),
    file('SYN196-1.p',unknown),
    [] ).

cnf(165,axiom,
    ( ~ s1(u)
    | ~ q0(v,w)
    | s1(v) ),
    file('SYN196-1.p',unknown),
    [] ).

cnf(419,plain,
    ( ~ s1(u)
    | ~ q0(a,v) ),
    inference(res,[status(thm),theory(equality)],[165,1]),
    [iquote('0:Res:165.2,1.0')] ).

cnf(453,plain,
    s1(b),
    inference(res,[status(thm),theory(equality)],[15,164]),
    [iquote('0:Res:15.0,164.0')] ).

cnf(470,plain,
    ~ q0(a,u),
    inference(ems,[status(thm)],[419,453]),
    [iquote('0:EmS:419.0,453.0')] ).

cnf(471,plain,
    $false,
    inference(unc,[status(thm)],[470,18]),
    [iquote('0:UnC:470.0,18.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SYN196-1 : TPTP v8.1.0. Released v1.1.0.
% 0.10/0.12  % Command  : run_spass %d %s
% 0.12/0.32  % Computer : n015.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Tue Jul 12 05:59:55 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.18/0.45  
% 0.18/0.45  SPASS V 3.9 
% 0.18/0.45  SPASS beiseite: Proof found.
% 0.18/0.45  % SZS status Theorem
% 0.18/0.45  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.45  SPASS derived 21 clauses, backtracked 0 clauses, performed 0 splits and kept 350 clauses.
% 0.18/0.45  SPASS allocated 76109 KBytes.
% 0.18/0.45  SPASS spent	0:00:00.11 on the problem.
% 0.18/0.45  		0:00:00.05 for the input.
% 0.18/0.45  		0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.45  		0:00:00.00 for inferences.
% 0.18/0.45  		0:00:00.00 for the backtracking.
% 0.18/0.45  		0:00:00.03 for the reduction.
% 0.18/0.45  
% 0.18/0.45  
% 0.18/0.45  Here is a proof with depth 2, length 9 :
% 0.18/0.45  % SZS output start Refutation
% See solution above
% 0.18/0.45  Formulae used in the proof : prove_this axiom_14 axiom_17 rule_125 rule_126
% 0.18/0.45  
%------------------------------------------------------------------------------