%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN226-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n020.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 12:19:35 EDT 2022

% Result   : Unsatisfiable 0.21s 0.47s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   18 (  12 unt;   0 nHn;  18 RR)
%            Number of literals    :   25 (   0 equ;  11 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ~ l3(b,b),
    file('SYN226-1.p',unknown),
    [] ).

cnf(6,axiom,
    s0(b),
    file('SYN226-1.p',unknown),
    [] ).

cnf(10,axiom,
    r0(b),
    file('SYN226-1.p',unknown),
    [] ).

cnf(15,axiom,
    p0(b,u),
    file('SYN226-1.p',unknown),
    [] ).

cnf(16,axiom,
    n0(a,b),
    file('SYN226-1.p',unknown),
    [] ).

cnf(33,axiom,
    k0(b),
    file('SYN226-1.p',unknown),
    [] ).

cnf(40,axiom,
    ( ~ n0(u,v)
    | k1(v) ),
    file('SYN226-1.p',unknown),
    [] ).

cnf(164,axiom,
    ( ~ p0(u,u)
    | s1(u) ),
    file('SYN226-1.p',unknown),
    [] ).

cnf(175,axiom,
    ( ~ k1(b)
    | m2(b) ),
    file('SYN226-1.p',unknown),
    [] ).

cnf(198,axiom,
    ( ~ k1(u)
    | p2(u,u,u) ),
    file('SYN226-1.p',unknown),
    [] ).

cnf(254,axiom,
    ( ~ r0(u)
    | ~ p2(u,v,u)
    | l3(u,v) ),
    file('SYN226-1.p',unknown),
    [] ).

cnf(424,plain,
    ( ~ r0(b)
    | ~ p2(b,b,b) ),
    inference(res,[status(thm),theory(equality)],[254,1]),
    [iquote('0:Res:254.2,1.0')] ).

cnf(426,plain,
    ~ p2(b,b,b),
    inference(mrr,[status(thm)],[424,10]),
    [iquote('0:MRR:424.0,10.0')] ).

cnf(462,plain,
    s1(b),
    inference(res,[status(thm),theory(equality)],[15,164]),
    [iquote('0:Res:15.0,164.0')] ).

cnf(468,plain,
    k1(b),
    inference(res,[status(thm),theory(equality)],[16,40]),
    [iquote('0:Res:16.0,40.0')] ).

cnf(476,plain,
    m2(b),
    inference(mrr,[status(thm)],[175,468]),
    [iquote('0:MRR:175.0,468.0')] ).

cnf(482,plain,
    ~ k1(b),
    inference(res,[status(thm),theory(equality)],[198,426]),
    [iquote('0:Res:198.1,426.0')] ).

cnf(483,plain,
    $false,
    inference(ssi,[status(thm)],[482,6,33,10,462,476,468]),
    [iquote('0:SSi:482.0,6.0,33.0,10.0,462.0,476.0,468.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN226-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jul 12 02:45:12 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.47  
% 0.21/0.47  SPASS V 3.9 
% 0.21/0.47  SPASS beiseite: Proof found.
% 0.21/0.47  % SZS status Theorem
% 0.21/0.47  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.21/0.47  SPASS derived 30 clauses, backtracked 0 clauses, performed 0 splits and kept 358 clauses.
% 0.21/0.47  SPASS allocated 76116 KBytes.
% 0.21/0.47  SPASS spent	0:00:00.11 on the problem.
% 0.21/0.47  		0:00:00.04 for the input.
% 0.21/0.47  		0:00:00.00 for the FLOTTER CNF translation.
% 0.21/0.47  		0:00:00.00 for inferences.
% 0.21/0.47  		0:00:00.00 for the backtracking.
% 0.21/0.47  		0:00:00.03 for the reduction.
% 0.21/0.47  
% 0.21/0.47  
% 0.21/0.47  Here is a proof with depth 2, length 18 :
% 0.21/0.47  % SZS output start Refutation
% See solution above
% 0.21/0.47  Formulae used in the proof : prove_this axiom_5 axiom_9 axiom_14 axiom_15 axiom_32 rule_001 rule_125 rule_136 rule_159 rule_215
% 0.21/0.47  
%------------------------------------------------------------------------------