%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : LCL460+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n008.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 : Sun Jul 17 14:37:10 EDT 2022

% Result   : Theorem 0.18s 0.45s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   7 RR)
%            Number of literals    :    9 (   0 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(12,axiom,
    and_1,
    file('LCL460+1.p',unknown),
    [] ).

cnf(22,axiom,
    ~ kn2,
    file('LCL460+1.p',unknown),
    [] ).

cnf(30,axiom,
    ( ~ and_1
    | is_a_theorem(implies__dfg(and__dfg(u,v),u)) ),
    file('LCL460+1.p',unknown),
    [] ).

cnf(41,axiom,
    ( ~ is_a_theorem(implies__dfg(and__dfg(skc89,skc88),skc89))
    | kn2 ),
    file('LCL460+1.p',unknown),
    [] ).

cnf(83,plain,
    ~ is_a_theorem(implies__dfg(and__dfg(skc89,skc88),skc89)),
    inference(mrr,[status(thm)],[41,22]),
    [iquote('0:MRR:41.1,22.0')] ).

cnf(88,plain,
    is_a_theorem(implies__dfg(and__dfg(u,v),u)),
    inference(mrr,[status(thm)],[30,12]),
    [iquote('0:MRR:30.0,12.0')] ).

cnf(89,plain,
    $false,
    inference(unc,[status(thm)],[88,83]),
    [iquote('0:UnC:88.0,83.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL460+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul  4 01:05:53 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.45  
% 0.18/0.45  SPASS V 3.9 
% 0.18/0.45  SPASS beiseite: Proof found.
% 0.18/0.45  % SZS status Theorem
% 0.18/0.45  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.45  SPASS derived 1 clauses, backtracked 0 clauses, performed 0 splits and kept 33 clauses.
% 0.18/0.45  SPASS allocated 97822 KBytes.
% 0.18/0.45  SPASS spent	0:00:00.10 on the problem.
% 0.18/0.45  		0:00:00.03 for the input.
% 0.18/0.45  		0:00:00.04 for the FLOTTER CNF translation.
% 0.18/0.45  		0:00:00.00 for inferences.
% 0.18/0.45  		0:00:00.00 for the backtracking.
% 0.18/0.45  		0:00:00.00 for the reduction.
% 0.18/0.45  
% 0.18/0.45  
% 0.18/0.45  Here is a proof with depth 0, length 7 :
% 0.18/0.45  % SZS output start Refutation
% See solution above
% 0.18/0.45  Formulae used in the proof : hilbert_and_1 rosser_kn2 and_1 kn2
% 0.18/0.45  
%------------------------------------------------------------------------------