%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN033-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n010.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 12:17:22 EDT 2022

% Result   : Unsatisfiable 0.19s 0.40s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    8 (   5 unt;   0 nHn;   8 RR)
%            Number of literals    :   14 (   0 equ;  10 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    p(g(u,v),u,v),
    file('SYN033-1.p',unknown),
    [] ).

cnf(2,axiom,
    p(u,h(u,v),v),
    file('SYN033-1.p',unknown),
    [] ).

cnf(3,axiom,
    ( ~ p(u,v,w)
    | ~ p(v,x,y)
    | ~ p(u,y,z)
    | p(w,x,z) ),
    file('SYN033-1.p',unknown),
    [] ).

cnf(4,axiom,
    ~ p(k(u),u,k(u)),
    file('SYN033-1.p',unknown),
    [] ).

cnf(5,plain,
    ( ~ p(u,v,w)
    | ~ p(x,u,k(v))
    | ~ p(x,w,k(v)) ),
    inference(res,[status(thm),theory(equality)],[3,4]),
    [iquote('0:Res:3.3,4.0')] ).

cnf(6,plain,
    ( ~ p(u,v,w)
    | ~ p(g(u,k(v)),w,k(v)) ),
    inference(res,[status(thm),theory(equality)],[1,5]),
    [iquote('0:Res:1.0,5.1')] ).

cnf(10,plain,
    ~ p(u,v,u),
    inference(res,[status(thm),theory(equality)],[1,6]),
    [iquote('0:Res:1.0,6.1')] ).

cnf(12,plain,
    $false,
    inference(unc,[status(thm)],[10,2]),
    [iquote('0:UnC:10.0,2.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN033-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13  % Command  : run_spass %d %s
% 0.13/0.33  % Computer : n010.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jul 11 15:32:45 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.40  
% 0.19/0.40  SPASS V 3.9 
% 0.19/0.40  SPASS beiseite: Proof found.
% 0.19/0.40  % SZS status Theorem
% 0.19/0.40  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.40  SPASS derived 7 clauses, backtracked 0 clauses, performed 0 splits and kept 11 clauses.
% 0.19/0.40  SPASS allocated 63089 KBytes.
% 0.19/0.40  SPASS spent	0:00:00.06 on the problem.
% 0.19/0.40  		0:00:00.03 for the input.
% 0.19/0.40  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.40  		0:00:00.00 for inferences.
% 0.19/0.40  		0:00:00.00 for the backtracking.
% 0.19/0.40  		0:00:00.00 for the reduction.
% 0.19/0.40  
% 0.19/0.40  
% 0.19/0.40  Here is a proof with depth 3, length 8 :
% 0.19/0.40  % SZS output start Refutation
% See solution above
% 0.19/0.40  Formulae used in the proof : clause1 clause2 clause3 prove_something
% 0.19/0.40  
%------------------------------------------------------------------------------