%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWC097+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n032.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 : Tue Jul 19 22:01:42 EDT 2022

% Result   : Theorem 1.81s 2.04s
% Output   : Refutation 1.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   13 (   5 unt;   5 nHn;  13 RR)
%            Number of literals    :   25 (   0 equ;   9 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(51,axiom,
    ssItem(skf44(u,v)),
    file('SWC097+1.p',unknown),
    [] ).

cnf(59,axiom,
    ( skP0(u,v)
    | neq(v,nil) ),
    file('SWC097+1.p',unknown),
    [] ).

cnf(68,axiom,
    ( ~ skP0(skc4,skc5)
    | neq(skc5,nil) ),
    file('SWC097+1.p',unknown),
    [] ).

cnf(78,axiom,
    ( ~ neq(skc5,nil)
    | ~ skP0(skc4,skc5) ),
    file('SWC097+1.p',unknown),
    [] ).

cnf(103,axiom,
    ( skP0(u,v)
    | equal(app(u,cons(skf44(v,u),nil)),v) ),
    file('SWC097+1.p',unknown),
    [] ).

cnf(118,axiom,
    ( ~ ssItem(u)
    | ~ equal(app(v,cons(u,nil)),w)
    | skP0(v,w) ),
    file('SWC097+1.p',unknown),
    [] ).

cnf(195,plain,
    neq(skc5,nil),
    inference(mrr,[status(thm)],[68,59]),
    [iquote('0:MRR:68.0,59.1')] ).

cnf(196,plain,
    ~ skP0(skc4,skc5),
    inference(mrr,[status(thm)],[78,195]),
    [iquote('0:MRR:78.0,195.0')] ).

cnf(5760,plain,
    ( ~ ssItem(skf44(u,v))
    | ~ equal(u,w)
    | skP0(v,u)
    | skP0(v,w) ),
    inference(spl,[status(thm),theory(equality)],[103,118]),
    [iquote('0:SpL:103.1,118.1')] ).

cnf(5761,plain,
    ( ~ equal(u,v)
    | skP0(w,u)
    | skP0(w,v) ),
    inference(ssi,[status(thm)],[5760,51]),
    [iquote('0:SSi:5760.0,51.0')] ).

cnf(6438,plain,
    ( skP0(u,v)
    | skP0(u,v) ),
    inference(eqr,[status(thm),theory(equality)],[5761]),
    [iquote('0:EqR:5761.0')] ).

cnf(6439,plain,
    skP0(u,v),
    inference(obv,[status(thm),theory(equality)],[6438]),
    [iquote('0:Obv:6438.0')] ).

cnf(6440,plain,
    $false,
    inference(unc,[status(thm)],[6439,196]),
    [iquote('0:UnC:6439.0,196.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWC097+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.11  % Command  : run_spass %d %s
% 0.11/0.31  % Computer : n032.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 600
% 0.11/0.31  % DateTime : Sun Jun 12 23:47:41 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 1.81/2.04  
% 1.81/2.04  SPASS V 3.9 
% 1.81/2.04  SPASS beiseite: Proof found.
% 1.81/2.04  % SZS status Theorem
% 1.81/2.04  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 1.81/2.04  SPASS derived 4929 clauses, backtracked 1550 clauses, performed 44 splits and kept 4310 clauses.
% 1.81/2.04  SPASS allocated 101910 KBytes.
% 1.81/2.04  SPASS spent	0:00:01.65 on the problem.
% 1.81/2.04  		0:00:00.02 for the input.
% 1.81/2.04  		0:00:00.05 for the FLOTTER CNF translation.
% 1.81/2.04  		0:00:00.04 for inferences.
% 1.81/2.04  		0:00:00.03 for the backtracking.
% 1.81/2.04  		0:00:01.35 for the reduction.
% 1.81/2.04  
% 1.81/2.04  
% 1.81/2.04  Here is a proof with depth 2, length 13 :
% 1.81/2.04  % SZS output start Refutation
% See solution above
% 1.81/2.04  Formulae used in the proof : co1 ax2
% 1.81/2.04  
%------------------------------------------------------------------------------