%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN088-1.010 : TPTP v8.1.0. Released v1.0.0.
% 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 12:18:31 EDT 2022

% Result   : Unsatisfiable 0.12s 0.39s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   14 (  12 unt;   0 nHn;  14 RR)
%            Number of literals    :   33 (   0 equ;  21 neg)
%            Maximal clause size   :   11 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-10 aty)
%            Number of functors    :   11 (  11 usr;  11 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ q_10(u)
    | ~ q_9(v)
    | ~ q_8(w)
    | ~ q_7(x)
    | ~ q_6(y)
    | ~ q_5(z)
    | ~ q_4(x1)
    | ~ q_3(x2)
    | ~ q_2(x3)
    | ~ q_1(x4)
    | p(x4,x3,x2,x1,z,y,x,w,v,u) ),
    file('SYN088-1.010.p',unknown),
    [] ).

cnf(2,axiom,
    q_1(a),
    file('SYN088-1.010.p',unknown),
    [] ).

cnf(4,axiom,
    q_2(a),
    file('SYN088-1.010.p',unknown),
    [] ).

cnf(6,axiom,
    q_3(a),
    file('SYN088-1.010.p',unknown),
    [] ).

cnf(8,axiom,
    q_4(a),
    file('SYN088-1.010.p',unknown),
    [] ).

cnf(10,axiom,
    q_5(a),
    file('SYN088-1.010.p',unknown),
    [] ).

cnf(12,axiom,
    q_6(a),
    file('SYN088-1.010.p',unknown),
    [] ).

cnf(14,axiom,
    q_7(a),
    file('SYN088-1.010.p',unknown),
    [] ).

cnf(16,axiom,
    q_8(a),
    file('SYN088-1.010.p',unknown),
    [] ).

cnf(18,axiom,
    q_9(a),
    file('SYN088-1.010.p',unknown),
    [] ).

cnf(20,axiom,
    q_10(a),
    file('SYN088-1.010.p',unknown),
    [] ).

cnf(22,axiom,
    ~ p(a,a,a,a,a,a,a,a,a,a),
    file('SYN088-1.010.p',unknown),
    [] ).

cnf(23,plain,
    ( ~ q_1(a)
    | ~ q_2(a)
    | ~ q_3(a)
    | ~ q_4(a)
    | ~ q_5(a)
    | ~ q_6(a)
    | ~ q_7(a)
    | ~ q_8(a)
    | ~ q_9(a)
    | ~ q_10(a) ),
    inference(res,[status(thm),theory(equality)],[1,22]),
    [iquote('0:Res:1.10,22.0')] ).

cnf(24,plain,
    $false,
    inference(mrr,[status(thm)],[23,2,4,6,8,10,12,14,16,18,20]),
    [iquote('0:MRR:23.0,23.1,23.2,23.3,23.4,23.5,23.6,23.7,23.8,23.9,2.0,4.0,6.0,8.0,10.0,12.0,14.0,16.0,18.0,20.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SYN088-1.010 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12  % Command  : run_spass %d %s
% 0.12/0.32  % Computer : n007.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 08:12:18 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.12/0.39  
% 0.12/0.39  SPASS V 3.9 
% 0.12/0.39  SPASS beiseite: Proof found.
% 0.12/0.39  % SZS status Theorem
% 0.12/0.39  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.12/0.39  SPASS derived 1 clauses, backtracked 0 clauses, performed 0 splits and kept 23 clauses.
% 0.12/0.39  SPASS allocated 75611 KBytes.
% 0.12/0.39  SPASS spent	0:00:00.06 on the problem.
% 0.12/0.39  		0:00:00.04 for the input.
% 0.12/0.39  		0:00:00.00 for the FLOTTER CNF translation.
% 0.12/0.39  		0:00:00.00 for inferences.
% 0.12/0.39  		0:00:00.00 for the backtracking.
% 0.12/0.39  		0:00:00.00 for the reduction.
% 0.12/0.39  
% 0.12/0.39  
% 0.12/0.39  Here is a proof with depth 1, length 14 :
% 0.12/0.39  % SZS output start Refutation
% See solution above
% 0.12/0.39  Formulae used in the proof : s4_1 s4_2 s4_4 s4_6 s4_8 s4_10 s4_12 s4_14 s4_16 s4_18 s4_20 s4_goal_1
% 0.12/0.39  
%------------------------------------------------------------------------------