%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN183-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n007.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 12:19:16 EDT 2022

% Result   : Unsatisfiable 0.20s 0.47s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   17 (  10 unt;   0 nHn;  17 RR)
%            Number of literals    :   25 (   0 equ;  11 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   9 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,
    ~ q5(e,e),
    file('SYN183-1.p',unknown),
    [] ).

cnf(4,axiom,
    n0(d,e),
    file('SYN183-1.p',unknown),
    [] ).

cnf(14,axiom,
    r0(e),
    file('SYN183-1.p',unknown),
    [] ).

cnf(29,axiom,
    k0(e),
    file('SYN183-1.p',unknown),
    [] ).

cnf(40,axiom,
    ( ~ n0(u,v)
    | k1(v) ),
    file('SYN183-1.p',unknown),
    [] ).

cnf(129,axiom,
    ( ~ r0(e)
    | ~ k0(e)
    | p1(e,e,e) ),
    file('SYN183-1.p',unknown),
    [] ).

cnf(176,axiom,
    ( ~ p1(u,v,w)
    | n2(w) ),
    file('SYN183-1.p',unknown),
    [] ).

cnf(283,axiom,
    ( ~ n2(u)
    | p3(u,u,u) ),
    file('SYN183-1.p',unknown),
    [] ).

cnf(316,axiom,
    ( ~ p3(u,v,w)
    | l4(w) ),
    file('SYN183-1.p',unknown),
    [] ).

cnf(363,axiom,
    ( ~ l4(u)
    | q5(u,u) ),
    file('SYN183-1.p',unknown),
    [] ).

cnf(382,plain,
    p1(e,e,e),
    inference(mrr,[status(thm)],[129,14,29]),
    [iquote('0:MRR:129.0,129.1,14.0,29.0')] ).

cnf(421,plain,
    ~ l4(e),
    inference(res,[status(thm),theory(equality)],[363,1]),
    [iquote('0:Res:363.1,1.0')] ).

cnf(463,plain,
    k1(e),
    inference(res,[status(thm),theory(equality)],[4,40]),
    [iquote('0:Res:4.0,40.0')] ).

cnf(487,plain,
    ( ~ n2(u)
    | l4(u) ),
    inference(res,[status(thm),theory(equality)],[283,316]),
    [iquote('0:Res:283.1,316.0')] ).

cnf(490,plain,
    n2(e),
    inference(res,[status(thm),theory(equality)],[382,176]),
    [iquote('0:Res:382.0,176.0')] ).

cnf(495,plain,
    ~ n2(e),
    inference(sor,[status(thm)],[421,487]),
    [iquote('0:SoR:421.0,487.1')] ).

cnf(496,plain,
    $false,
    inference(ssi,[status(thm)],[495,29,14,463,490]),
    [iquote('0:SSi:495.0,29.0,14.0,463.0,490.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN183-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n007.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 14:02:32 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  
% 0.20/0.47  SPASS V 3.9 
% 0.20/0.47  SPASS beiseite: Proof found.
% 0.20/0.47  % SZS status Theorem
% 0.20/0.47  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.47  SPASS derived 44 clauses, backtracked 0 clauses, performed 0 splits and kept 369 clauses.
% 0.20/0.47  SPASS allocated 76124 KBytes.
% 0.20/0.47  SPASS spent	0:00:00.11 on the problem.
% 0.20/0.47  		0:00:00.04 for the input.
% 0.20/0.47  		0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.47  		0:00:00.00 for inferences.
% 0.20/0.47  		0:00:00.00 for the backtracking.
% 0.20/0.47  		0:00:00.03 for the reduction.
% 0.20/0.47  
% 0.20/0.47  
% 0.20/0.47  Here is a proof with depth 2, length 17 :
% 0.20/0.47  % SZS output start Refutation
% See solution above
% 0.20/0.47  Formulae used in the proof : prove_this axiom_3 axiom_13 axiom_28 rule_001 rule_090 rule_137 rule_244 rule_277 rule_324
% 0.20/0.47  
%------------------------------------------------------------------------------