%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN234-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n003.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 : Thu Jul 21 12:19:38 EDT 2022

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   17 (  10 unt;   0 nHn;  17 RR)
%            Number of literals    :   27 (   0 equ;  14 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ~ l3(e,a),
    file('SYN234-1.p',unknown),
    [] ).

cnf(4,axiom,
    n0(d,e),
    file('SYN234-1.p',unknown),
    [] ).

cnf(14,axiom,
    r0(e),
    file('SYN234-1.p',unknown),
    [] ).

cnf(21,axiom,
    l0(a),
    file('SYN234-1.p',unknown),
    [] ).

cnf(29,axiom,
    k0(e),
    file('SYN234-1.p',unknown),
    [] ).

cnf(38,axiom,
    n0(b,a),
    file('SYN234-1.p',unknown),
    [] ).

cnf(40,axiom,
    ( ~ n0(u,v)
    | k1(v) ),
    file('SYN234-1.p',unknown),
    [] ).

cnf(60,axiom,
    ( ~ k0(u)
    | ~ l0(v)
    | m1(v,u,v) ),
    file('SYN234-1.p',unknown),
    [] ).

cnf(215,axiom,
    ( ~ m1(u,v,u)
    | p2(v,u,v) ),
    file('SYN234-1.p',unknown),
    [] ).

cnf(254,axiom,
    ( ~ r0(u)
    | ~ p2(u,v,u)
    | l3(u,v) ),
    file('SYN234-1.p',unknown),
    [] ).

cnf(419,plain,
    ( ~ r0(e)
    | ~ p2(e,a,e) ),
    inference(res,[status(thm),theory(equality)],[254,1]),
    [iquote('0:Res:254.2,1.0')] ).

cnf(420,plain,
    ~ p2(e,a,e),
    inference(mrr,[status(thm)],[419,14]),
    [iquote('0:MRR:419.0,14.0')] ).

cnf(457,plain,
    k1(a),
    inference(res,[status(thm),theory(equality)],[38,40]),
    [iquote('0:Res:38.0,40.0')] ).

cnf(460,plain,
    k1(e),
    inference(res,[status(thm),theory(equality)],[4,40]),
    [iquote('0:Res:4.0,40.0')] ).

cnf(668,plain,
    ( ~ k0(u)
    | ~ l0(v)
    | p2(u,v,u) ),
    inference(res,[status(thm),theory(equality)],[60,215]),
    [iquote('0:Res:60.2,215.0')] ).

cnf(676,plain,
    ( ~ k0(e)
    | ~ l0(a) ),
    inference(res,[status(thm),theory(equality)],[668,420]),
    [iquote('0:Res:668.2,420.0')] ).

cnf(680,plain,
    $false,
    inference(ssi,[status(thm)],[676,21,457,29,14,460]),
    [iquote('0:SSi:676.1,676.0,21.0,457.0,29.0,14.0,460.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN234-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n003.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 Jul 11 22:13:45 EDT 2022
% 0.13/0.34  % 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 224 clauses, backtracked 0 clauses, performed 0 splits and kept 454 clauses.
% 0.20/0.49  SPASS allocated 76188 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  		0:00:00.04 for the reduction.
% 0.20/0.49  
% 0.20/0.49  
% 0.20/0.49  Here is a proof with depth 2, length 17 :
% 0.20/0.49  % SZS output start Refutation
% See solution above
% 0.20/0.49  Formulae used in the proof : prove_this axiom_3 axiom_13 axiom_20 axiom_28 axiom_37 rule_001 rule_021 rule_176 rule_215
% 0.20/0.49  
%------------------------------------------------------------------------------