%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWC038-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n025.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 22:01:16 EDT 2022

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   13 (   8 unt;   2 nHn;  13 RR)
%            Number of literals    :   20 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ssList(sk1),
    file('SWC038-1.p',unknown),
    [] ).

cnf(5,axiom,
    equal(nil,sk2),
    file('SWC038-1.p',unknown),
    [] ).

cnf(6,axiom,
    equal(sk4,sk2),
    file('SWC038-1.p',unknown),
    [] ).

cnf(7,axiom,
    equal(sk3,sk1),
    file('SWC038-1.p',unknown),
    [] ).

cnf(8,axiom,
    ~ equal(nil,sk1),
    file('SWC038-1.p',unknown),
    [] ).

cnf(12,axiom,
    ( equal(nil,sk3)
    | frontsegP(sk4,sk3) ),
    file('SWC038-1.p',unknown),
    [] ).

cnf(96,axiom,
    ( ~ ssList(u)
    | ~ frontsegP(nil,u)
    | equal(nil,u) ),
    file('SWC038-1.p',unknown),
    [] ).

cnf(209,plain,
    ~ equal(sk2,sk1),
    inference(rew,[status(thm),theory(equality)],[5,8]),
    [iquote('0:Rew:5.0,8.0')] ).

cnf(213,plain,
    ( equal(sk2,sk1)
    | frontsegP(sk2,sk1) ),
    inference(rew,[status(thm),theory(equality)],[6,12,7,5]),
    [iquote('0:Rew:6.0,12.1,7.0,12.1,5.0,12.0,7.0,12.0')] ).

cnf(214,plain,
    frontsegP(sk2,sk1),
    inference(mrr,[status(thm)],[213,209]),
    [iquote('0:MRR:213.0,209.0')] ).

cnf(233,plain,
    ( ~ ssList(u)
    | ~ frontsegP(sk2,u)
    | equal(sk2,u) ),
    inference(rew,[status(thm),theory(equality)],[5,96]),
    [iquote('0:Rew:5.0,96.2,5.0,96.1')] ).

cnf(507,plain,
    ( ~ frontsegP(sk2,sk1)
    | equal(sk2,sk1) ),
    inference(res,[status(thm),theory(equality)],[1,233]),
    [iquote('0:Res:1.0,233.0')] ).

cnf(614,plain,
    $false,
    inference(mrr,[status(thm)],[507,214,209]),
    [iquote('0:MRR:507.0,507.1,214.0,209.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC038-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n025.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 : Sun Jun 12 22:16:08 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.49  
% 0.20/0.49  SPASS V 3.9 
% 0.20/0.49  SPASS beiseite: Proof found.
% 0.20/0.49  % SZS status Theorem
% 0.20/0.49  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.49  SPASS derived 353 clauses, backtracked 0 clauses, performed 0 splits and kept 219 clauses.
% 0.20/0.49  SPASS allocated 76396 KBytes.
% 0.20/0.49  SPASS spent	0:00:00.13 on the problem.
% 0.20/0.49  		0:00:00.04 for the input.
% 0.20/0.49  		0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.49  		0:00:00.00 for inferences.
% 0.20/0.49  		0:00:00.00 for the backtracking.
% 0.20/0.49  		0:00:00.03 for the reduction.
% 0.20/0.49  
% 0.20/0.49  
% 0.20/0.49  Here is a proof with depth 1, length 13 :
% 0.20/0.49  % SZS output start Refutation
% See solution above
% 0.20/0.49  Formulae used in the proof : co1_1 co1_5 co1_6 co1_7 co1_8 co1_12 clause84
% 0.20/0.49  
%------------------------------------------------------------------------------