%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN954+1 : TPTP v8.1.0. Released v3.1.0.
% 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 12:32:17 EDT 2022

% Result   : Theorem 0.19s 0.44s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   10 (   4 unt;   2 nHn;  10 RR)
%            Number of literals    :   16 (   0 equ;   6 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ q(u)
    | p(u) ),
    file('SYN954+1.p',unknown),
    [] ).

cnf(2,axiom,
    ( p(u)
    | skP0(v,u) ),
    file('SYN954+1.p',unknown),
    [] ).

cnf(3,axiom,
    ( ~ skP0(skc2,u)
    | q(u) ),
    file('SYN954+1.p',unknown),
    [] ).

cnf(4,axiom,
    ( ~ p(u)
    | skP0(u,v) ),
    file('SYN954+1.p',unknown),
    [] ).

cnf(5,axiom,
    ( ~ p(skc3)
    | ~ skP0(skc2,u) ),
    file('SYN954+1.p',unknown),
    [] ).

cnf(9,plain,
    ( p(u)
    | q(u) ),
    inference(res,[status(thm),theory(equality)],[2,3]),
    [iquote('0:Res:2.1,3.0')] ).

cnf(10,plain,
    p(u),
    inference(mrr,[status(thm)],[9,1]),
    [iquote('0:MRR:9.1,1.0')] ).

cnf(11,plain,
    skP0(u,v),
    inference(mrr,[status(thm)],[4,10]),
    [iquote('0:MRR:4.0,10.0')] ).

cnf(12,plain,
    ~ skP0(skc2,u),
    inference(mrr,[status(thm)],[5,10]),
    [iquote('0:MRR:5.0,10.0')] ).

cnf(14,plain,
    $false,
    inference(mrr,[status(thm)],[12,11]),
    [iquote('0:MRR:12.0,11.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN954+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n015.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 17:29:24 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.44  
% 0.19/0.44  SPASS V 3.9 
% 0.19/0.44  SPASS beiseite: Proof found.
% 0.19/0.44  % SZS status Theorem
% 0.19/0.44  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.44  SPASS derived 4 clauses, backtracked 0 clauses, performed 0 splits and kept 9 clauses.
% 0.19/0.44  SPASS allocated 97554 KBytes.
% 0.19/0.44  SPASS spent	0:00:00.09 on the problem.
% 0.19/0.44  		0:00:00.04 for the input.
% 0.19/0.44  		0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.44  		0:00:00.00 for inferences.
% 0.19/0.44  		0:00:00.00 for the backtracking.
% 0.19/0.44  		0:00:00.00 for the reduction.
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  Here is a proof with depth 1, length 10 :
% 0.19/0.44  % SZS output start Refutation
% See solution above
% 0.19/0.44  Formulae used in the proof : prove_this
% 0.19/0.44  
%------------------------------------------------------------------------------