%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : COL122-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n018.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 : Fri Jul 15 00:42:43 EDT 2022

% Result   : Unsatisfiable 0.43s 0.59s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   5 RR)
%            Number of literals    :    6 (   0 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-4 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(10,axiom,
    c_in(c_Pair(v_x,v_xaa,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('COL122-1.p',unknown),
    [] ).

cnf(11,axiom,
    ( ~ c_in(c_Pair(v_x,u,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_xaa,u,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    file('COL122-1.p',unknown),
    [] ).

cnf(331,axiom,
    c_in(c_Pair(u,u,v,v),c_Transitive__Closure_Ortrancl(w,v),tc_prod(v,v)),
    file('COL122-1.p',unknown),
    [] ).

cnf(1404,plain,
    ~ c_in(c_Pair(v_x,v_xaa,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    inference(res,[status(thm),theory(equality)],[331,11]),
    [iquote('0:Res:331.0,11.1')] ).

cnf(1409,plain,
    $false,
    inference(mrr,[status(thm)],[1404,10]),
    [iquote('0:MRR:1404.0,10.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : COL122-1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n018.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 : Tue May 31 08:46:58 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.43/0.59  
% 0.43/0.59  SPASS V 3.9 
% 0.43/0.59  SPASS beiseite: Proof found.
% 0.43/0.59  % SZS status Theorem
% 0.43/0.59  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.43/0.59  SPASS derived 22 clauses, backtracked 0 clauses, performed 0 splits and kept 1337 clauses.
% 0.43/0.59  SPASS allocated 77783 KBytes.
% 0.43/0.59  SPASS spent	0:00:00.24 on the problem.
% 0.43/0.59  		0:00:00.09 for the input.
% 0.43/0.59  		0:00:00.00 for the FLOTTER CNF translation.
% 0.43/0.59  		0:00:00.00 for inferences.
% 0.43/0.59  		0:00:00.00 for the backtracking.
% 0.43/0.59  		0:00:00.07 for the reduction.
% 0.43/0.59  
% 0.43/0.59  
% 0.43/0.59  Here is a proof with depth 1, length 5 :
% 0.43/0.59  % SZS output start Refutation
% See solution above
% 0.43/0.59  Formulae used in the proof : cls_conjecture_0 cls_conjecture_1 cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0
% 0.43/0.59  
%------------------------------------------------------------------------------