%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN331+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n028.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 12:20:23 EDT 2022

% Result   : Theorem 0.18s 0.43s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    7 (   4 unt;   2 nHn;   7 RR)
%            Number of literals    :   10 (   0 equ;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ~ big(skf1(u,v),v),
    file('SYN331+1.p',unknown),
    [] ).

cnf(5,axiom,
    ( big(u,v)
    | big(skf1(u,v),skf1(u,v)) ),
    file('SYN331+1.p',unknown),
    [] ).

cnf(7,axiom,
    ( ~ big(skf1(u,v),skf1(u,v))
    | big(v,u) ),
    file('SYN331+1.p',unknown),
    [] ).

cnf(8,plain,
    ( big(u,v)
    | big(v,u) ),
    inference(res,[status(thm),theory(equality)],[5,7]),
    [iquote('0:Res:5.1,7.0')] ).

cnf(10,plain,
    big(u,u),
    inference(fac,[status(thm)],[8]),
    [iquote('0:Fac:8.0,8.1')] ).

cnf(15,plain,
    big(u,v),
    inference(mrr,[status(thm)],[7,10]),
    [iquote('0:MRR:7.0,10.0')] ).

cnf(16,plain,
    $false,
    inference(unc,[status(thm)],[15,3]),
    [iquote('0:UnC:15.0,3.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN331+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n028.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 20:03:59 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.43  
% 0.18/0.43  SPASS V 3.9 
% 0.18/0.43  SPASS beiseite: Proof found.
% 0.18/0.43  % SZS status Theorem
% 0.18/0.43  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.18/0.43  SPASS derived 8 clauses, backtracked 0 clauses, performed 0 splits and kept 10 clauses.
% 0.18/0.43  SPASS allocated 85061 KBytes.
% 0.18/0.43  SPASS spent	0:00:00.09 on the problem.
% 0.18/0.43  		0:00:00.04 for the input.
% 0.18/0.43  		0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.43  		0:00:00.00 for inferences.
% 0.18/0.43  		0:00:00.00 for the backtracking.
% 0.18/0.43  		0:00:00.00 for the reduction.
% 0.18/0.43  
% 0.18/0.43  
% 0.18/0.43  Here is a proof with depth 2, length 7 :
% 0.18/0.43  % SZS output start Refutation
% See solution above
% 0.18/0.43  Formulae used in the proof : church_46_14_3
% 0.18/0.43  
%------------------------------------------------------------------------------