%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : RNG088+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n026.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 : Mon Jul 18 20:41:26 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   11 (   6 unt;   0 nHn;  11 RR)
%            Number of literals    :   19 (   0 equ;  12 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(13,axiom,
    aElementOf0(xk,xI),
    file('RNG088+2.p',unknown),
    [] ).

cnf(14,axiom,
    aElementOf0(xl,xJ),
    file('RNG088+2.p',unknown),
    [] ).

cnf(15,axiom,
    aElementOf0(xm,xI),
    file('RNG088+2.p',unknown),
    [] ).

cnf(16,axiom,
    aElementOf0(xn,xJ),
    file('RNG088+2.p',unknown),
    [] ).

cnf(44,axiom,
    ( ~ aElementOf0(sdtpldt0(xl,xn),xJ)
    | ~ aElementOf0(sdtpldt0(xk,xm),xI) ),
    file('RNG088+2.p',unknown),
    [] ).

cnf(49,axiom,
    ( ~ aElementOf0(u,xI)
    | ~ aElementOf0(v,xI)
    | aElementOf0(sdtpldt0(u,v),xI) ),
    file('RNG088+2.p',unknown),
    [] ).

cnf(50,axiom,
    ( ~ aElementOf0(u,xJ)
    | ~ aElementOf0(v,xJ)
    | aElementOf0(sdtpldt0(u,v),xJ) ),
    file('RNG088+2.p',unknown),
    [] ).

cnf(201,plain,
    ( ~ aElementOf0(xl,xJ)
    | ~ aElementOf0(xn,xJ)
    | ~ aElementOf0(sdtpldt0(xk,xm),xI) ),
    inference(res,[status(thm),theory(equality)],[50,44]),
    [iquote('0:Res:50.2,44.0')] ).

cnf(207,plain,
    ~ aElementOf0(sdtpldt0(xk,xm),xI),
    inference(mrr,[status(thm)],[201,14,16]),
    [iquote('0:MRR:201.0,201.1,14.0,16.0')] ).

cnf(217,plain,
    ( ~ aElementOf0(xk,xI)
    | ~ aElementOf0(xm,xI) ),
    inference(res,[status(thm),theory(equality)],[49,207]),
    [iquote('0:Res:49.2,207.0')] ).

cnf(219,plain,
    $false,
    inference(mrr,[status(thm)],[217,13,15]),
    [iquote('0:MRR:217.0,217.1,13.0,15.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : RNG088+2 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n026.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 : Mon May 30 08:27:10 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.51  
% 0.20/0.51  SPASS V 3.9 
% 0.20/0.51  SPASS beiseite: Proof found.
% 0.20/0.51  % SZS status Theorem
% 0.20/0.51  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.51  SPASS derived 109 clauses, backtracked 0 clauses, performed 0 splits and kept 116 clauses.
% 0.20/0.51  SPASS allocated 98763 KBytes.
% 0.20/0.51  SPASS spent	0:00:00.16 on the problem.
% 0.20/0.51  		0:00:00.03 for the input.
% 0.20/0.51  		0:00:00.10 for the FLOTTER CNF translation.
% 0.20/0.51  		0:00:00.00 for inferences.
% 0.20/0.51  		0:00:00.00 for the backtracking.
% 0.20/0.51  		0:00:00.01 for the reduction.
% 0.20/0.51  
% 0.20/0.51  
% 0.20/0.51  Here is a proof with depth 2, length 11 :
% 0.20/0.51  % SZS output start Refutation
% See solution above
% 0.20/0.51  Formulae used in the proof : m__934 m__967 m__ m__870
% 0.20/0.51  
%------------------------------------------------------------------------------