%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN224-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n027.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 12:19:34 EDT 2022

% Result   : Unsatisfiable 0.20s 0.48s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   18 (  11 unt;   0 nHn;  18 RR)
%            Number of literals    :   27 (   0 equ;  12 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    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ~ l3(a,u),
    file('SYN224-1.p',unknown),
    [] ).

cnf(10,axiom,
    r0(b),
    file('SYN224-1.p',unknown),
    [] ).

cnf(16,axiom,
    n0(a,b),
    file('SYN224-1.p',unknown),
    [] ).

cnf(21,axiom,
    l0(a),
    file('SYN224-1.p',unknown),
    [] ).

cnf(40,axiom,
    ( ~ n0(u,v)
    | k1(v) ),
    file('SYN224-1.p',unknown),
    [] ).

cnf(126,axiom,
    ( ~ r0(b)
    | ~ p1(a,a,a)
    | p1(a,b,a) ),
    file('SYN224-1.p',unknown),
    [] ).

cnf(127,axiom,
    ( ~ l0(a)
    | p1(a,a,a) ),
    file('SYN224-1.p',unknown),
    [] ).

cnf(175,axiom,
    ( ~ k1(b)
    | m2(b) ),
    file('SYN224-1.p',unknown),
    [] ).

cnf(176,axiom,
    ( ~ p1(u,v,w)
    | n2(w) ),
    file('SYN224-1.p',unknown),
    [] ).

cnf(256,axiom,
    ( ~ n2(u)
    | ~ m2(b)
    | l3(u,u) ),
    file('SYN224-1.p',unknown),
    [] ).

cnf(371,plain,
    p1(a,a,a),
    inference(mrr,[status(thm)],[127,21]),
    [iquote('0:MRR:127.0,21.0')] ).

cnf(389,plain,
    p1(a,b,a),
    inference(mrr,[status(thm)],[126,10,371]),
    [iquote('0:MRR:126.0,126.1,10.0,371.0')] ).

cnf(420,plain,
    ( ~ n2(a)
    | ~ m2(b) ),
    inference(res,[status(thm),theory(equality)],[256,1]),
    [iquote('0:Res:256.2,1.0')] ).

cnf(467,plain,
    k1(b),
    inference(res,[status(thm),theory(equality)],[16,40]),
    [iquote('0:Res:16.0,40.0')] ).

cnf(475,plain,
    m2(b),
    inference(mrr,[status(thm)],[175,467]),
    [iquote('0:MRR:175.0,467.0')] ).

cnf(476,plain,
    ~ n2(a),
    inference(mrr,[status(thm)],[420,475]),
    [iquote('0:MRR:420.1,475.0')] ).

cnf(500,plain,
    n2(a),
    inference(res,[status(thm),theory(equality)],[389,176]),
    [iquote('0:Res:389.0,176.0')] ).

cnf(506,plain,
    $false,
    inference(mrr,[status(thm)],[500,476]),
    [iquote('0:MRR:500.0,476.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SYN224-1 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n027.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 14:05:04 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  
% 0.20/0.48  SPASS V 3.9 
% 0.20/0.48  SPASS beiseite: Proof found.
% 0.20/0.48  % SZS status Theorem
% 0.20/0.48  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.48  SPASS derived 54 clauses, backtracked 0 clauses, performed 0 splits and kept 378 clauses.
% 0.20/0.48  SPASS allocated 76128 KBytes.
% 0.20/0.48  SPASS spent	0:00:00.12 on the problem.
% 0.20/0.48  		0:00:00.04 for the input.
% 0.20/0.48  		0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.48  		0:00:00.00 for inferences.
% 0.20/0.48  		0:00:00.00 for the backtracking.
% 0.20/0.48  		0:00:00.03 for the reduction.
% 0.20/0.48  
% 0.20/0.48  
% 0.20/0.48  Here is a proof with depth 1, length 18 :
% 0.20/0.48  % SZS output start Refutation
% See solution above
% 0.20/0.48  Formulae used in the proof : prove_this axiom_9 axiom_15 axiom_20 rule_001 rule_087 rule_088 rule_136 rule_137 rule_217
% 0.20/0.48  
%------------------------------------------------------------------------------