%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN374+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n013.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 12:20:52 EDT 2022

% Result   : Theorem 0.21s 0.44s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    9 (   5 unt;   1 nHn;   9 RR)
%            Number of literals    :   15 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ big_p(u)
    | big_p(skc7) ),
    file('SYN374+1.p',unknown),
    [] ).

cnf(2,axiom,
    ( ~ big_p(skc7)
    | big_p(u) ),
    file('SYN374+1.p',unknown),
    [] ).

cnf(3,axiom,
    ( big_p(u)
    | big_p(skc12)
    | big_p(skf1(u)) ),
    file('SYN374+1.p',unknown),
    [] ).

cnf(6,axiom,
    ( ~ big_p(u)
    | ~ big_p(skc13)
    | ~ big_p(skf1(u)) ),
    file('SYN374+1.p',unknown),
    [] ).

cnf(15,plain,
    big_p(u),
    inference(spt,[spt(split,[position(s1)])],[2]),
    [iquote('1:Spt:2.1')] ).

cnf(16,plain,
    $false,
    inference(mrr,[status(thm)],[6,15]),
    [iquote('1:MRR:6.1,6.2,6.0,15.0')] ).

cnf(17,plain,
    ~ big_p(skc7),
    inference(spt,[spt(split,[position(s2)])],[2]),
    [iquote('1:Spt:16.0,2.0')] ).

cnf(18,plain,
    ~ big_p(u),
    inference(mrr,[status(thm)],[1,17]),
    [iquote('1:MRR:1.1,17.0')] ).

cnf(19,plain,
    $false,
    inference(mrr,[status(thm)],[3,18]),
    [iquote('1:MRR:3.0,3.1,3.2,18.0,18.0,18.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN374+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 16:22:59 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.21/0.44  
% 0.21/0.44  SPASS V 3.9 
% 0.21/0.44  SPASS beiseite: Proof found.
% 0.21/0.44  % SZS status Theorem
% 0.21/0.44  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.21/0.44  SPASS derived 2 clauses, backtracked 6 clauses, performed 1 splits and kept 11 clauses.
% 0.21/0.44  SPASS allocated 97717 KBytes.
% 0.21/0.44  SPASS spent	0:00:00.08 on the problem.
% 0.21/0.44  		0:00:00.03 for the input.
% 0.21/0.44  		0:00:00.03 for the FLOTTER CNF translation.
% 0.21/0.44  		0:00:00.00 for inferences.
% 0.21/0.44  		0:00:00.00 for the backtracking.
% 0.21/0.44  		0:00:00.00 for the reduction.
% 0.21/0.44  
% 0.21/0.44  
% 0.21/0.44  Here is a proof with depth 1, length 9 :
% 0.21/0.44  % SZS output start Refutation
% See solution above
% 0.21/0.44  Formulae used in the proof : x2125
% 0.21/0.44  
%------------------------------------------------------------------------------