%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN951+1 : TPTP v8.1.0. Released v3.1.0.
% 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 12:32:16 EDT 2022

% Result   : Theorem 0.14s 0.37s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   4 unt;   1 nHn;   9 RR)
%            Number of literals    :   16 (   0 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   4 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    p(skc1),
    file('SYN951+1.p',unknown),
    [] ).

cnf(2,axiom,
    ( b
    | skC0 ),
    file('SYN951+1.p',unknown),
    [] ).

cnf(3,axiom,
    ( ~ b
    | skC0 ),
    file('SYN951+1.p',unknown),
    [] ).

cnf(5,axiom,
    ( ~ p(u)
    | ~ skC0
    | q ),
    file('SYN951+1.p',unknown),
    [] ).

cnf(6,axiom,
    ( ~ p(u)
    | ~ skC0
    | ~ q ),
    file('SYN951+1.p',unknown),
    [] ).

cnf(7,plain,
    skC0,
    inference(mrr,[status(thm)],[3,2]),
    [iquote('0:MRR:3.0,2.0')] ).

cnf(8,plain,
    ( ~ p(u)
    | q ),
    inference(mrr,[status(thm)],[5,7]),
    [iquote('0:MRR:5.1,7.0')] ).

cnf(9,plain,
    ~ p(u),
    inference(mrr,[status(thm)],[6,7,8]),
    [iquote('0:MRR:6.1,6.2,7.0,8.1')] ).

cnf(10,plain,
    $false,
    inference(unc,[status(thm)],[9,1]),
    [iquote('0:UnC:9.0,1.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : SYN951+1 : TPTP v8.1.0. Released v3.1.0.
% 0.02/0.09  % Command  : run_spass %d %s
% 0.09/0.29  % Computer : n024.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 600
% 0.09/0.29  % DateTime : Mon Jul 11 12:22:43 EDT 2022
% 0.09/0.29  % CPUTime  : 
% 0.14/0.37  
% 0.14/0.37  SPASS V 3.9 
% 0.14/0.37  SPASS beiseite: Proof found.
% 0.14/0.37  % SZS status Theorem
% 0.14/0.37  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.14/0.37  SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 6 clauses.
% 0.14/0.37  SPASS allocated 97553 KBytes.
% 0.14/0.37  SPASS spent	0:00:00.07 on the problem.
% 0.14/0.37  		0:00:00.03 for the input.
% 0.14/0.37  		0:00:00.02 for the FLOTTER CNF translation.
% 0.14/0.37  		0:00:00.00 for inferences.
% 0.14/0.37  		0:00:00.00 for the backtracking.
% 0.14/0.37  		0:00:00.00 for the reduction.
% 0.14/0.37  
% 0.14/0.37  
% 0.14/0.37  Here is a proof with depth 0, length 9 :
% 0.14/0.37  % SZS output start Refutation
% See solution above
% 0.14/0.37  Formulae used in the proof : prove_this
% 0.14/0.37  
%------------------------------------------------------------------------------