%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV412+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n011.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 : Wed Jul 20 21:42:42 EDT 2022

% Result   : Theorem 0.20s 0.45s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   7 RR)
%            Number of literals    :   10 (   0 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    strictly_less_than(skc4,skc5),
    file('SWV412+1.p',unknown),
    [] ).

cnf(6,axiom,
    pair_in_list(skc7,skc6,skc4),
    file('SWV412+1.p',unknown),
    [] ).

cnf(12,axiom,
    ~ pair_in_list(update_slb(skc7,skc5),skc6,skc5),
    file('SWV412+1.p',unknown),
    [] ).

cnf(23,axiom,
    ( ~ strictly_less_than(u,v)
    | ~ pair_in_list(w,x,u)
    | pair_in_list(update_slb(w,v),x,v) ),
    file('SWV412+1.p',unknown),
    [] ).

cnf(42,plain,
    ( ~ strictly_less_than(u,skc5)
    | ~ pair_in_list(skc7,skc6,u) ),
    inference(res,[status(thm),theory(equality)],[23,12]),
    [iquote('0:Res:23.2,12.0')] ).

cnf(49,plain,
    ~ strictly_less_than(skc4,skc5),
    inference(res,[status(thm),theory(equality)],[6,42]),
    [iquote('0:Res:6.0,42.0')] ).

cnf(54,plain,
    $false,
    inference(mrr,[status(thm)],[49,2]),
    [iquote('0:MRR:49.0,2.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWV412+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.14  % Command  : run_spass %d %s
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Wed Jun 15 21:14:50 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.45  
% 0.20/0.45  SPASS V 3.9 
% 0.20/0.45  SPASS beiseite: Proof found.
% 0.20/0.45  % SZS status Theorem
% 0.20/0.45  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.45  SPASS derived 21 clauses, backtracked 0 clauses, performed 0 splits and kept 43 clauses.
% 0.20/0.45  SPASS allocated 85216 KBytes.
% 0.20/0.45  SPASS spent	0:00:00.09 on the problem.
% 0.20/0.45  		0:00:00.03 for the input.
% 0.20/0.45  		0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.45  		0:00:00.00 for inferences.
% 0.20/0.45  		0:00:00.00 for the backtracking.
% 0.20/0.45  		0:00:00.00 for the reduction.
% 0.20/0.45  
% 0.20/0.45  
% 0.20/0.45  Here is a proof with depth 2, length 7 :
% 0.20/0.45  % SZS output start Refutation
% See solution above
% 0.20/0.45  Formulae used in the proof : l48_co l48_li3839
% 0.20/0.45  
%------------------------------------------------------------------------------