%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN228-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n015.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 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   7 unt;   0 nHn;  11 RR)
%            Number of literals    :   16 (   0 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 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,e),
    file('SYN228-1.p',unknown),
    [] ).

cnf(10,axiom,
    r0(b),
    file('SYN228-1.p',unknown),
    [] ).

cnf(32,axiom,
    m0(b,b,e),
    file('SYN228-1.p',unknown),
    [] ).

cnf(44,axiom,
    ( ~ m0(u,u,v)
    | m1(v,u,v) ),
    file('SYN228-1.p',unknown),
    [] ).

cnf(215,axiom,
    ( ~ m1(u,v,u)
    | p2(v,u,v) ),
    file('SYN228-1.p',unknown),
    [] ).

cnf(254,axiom,
    ( ~ r0(u)
    | ~ p2(u,v,u)
    | l3(u,v) ),
    file('SYN228-1.p',unknown),
    [] ).

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

cnf(420,plain,
    ~ p2(b,e,b),
    inference(mrr,[status(thm)],[419,10]),
    [iquote('0:MRR:419.0,10.0')] ).

cnf(631,plain,
    m1(e,b,e),
    inference(res,[status(thm),theory(equality)],[32,44]),
    [iquote('0:Res:32.0,44.0')] ).

cnf(634,plain,
    p2(b,e,b),
    inference(res,[status(thm),theory(equality)],[631,215]),
    [iquote('0:Res:631.0,215.0')] ).

cnf(640,plain,
    $false,
    inference(mrr,[status(thm)],[634,420]),
    [iquote('0:MRR:634.0,420.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN228-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n015.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 18:32:24 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.49  
% 0.19/0.49  SPASS V 3.9 
% 0.19/0.49  SPASS beiseite: Proof found.
% 0.19/0.49  % SZS status Theorem
% 0.19/0.49  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.49  SPASS derived 185 clauses, backtracked 0 clauses, performed 0 splits and kept 442 clauses.
% 0.19/0.49  SPASS allocated 76174 KBytes.
% 0.19/0.49  SPASS spent	0:00:00.12 on the problem.
% 0.19/0.49  		0:00:00.04 for the input.
% 0.19/0.49  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.49  		0:00:00.00 for inferences.
% 0.19/0.49  		0:00:00.00 for the backtracking.
% 0.19/0.49  		0:00:00.04 for the reduction.
% 0.19/0.49  
% 0.19/0.49  
% 0.19/0.49  Here is a proof with depth 2, length 11 :
% 0.19/0.49  % SZS output start Refutation
% See solution above
% 0.19/0.49  Formulae used in the proof : prove_this axiom_9 axiom_31 rule_005 rule_176 rule_215
% 0.19/0.49  
%------------------------------------------------------------------------------