%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN268-1 : 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 12:19:51 EDT 2022

% Result   : Unsatisfiable 0.20s 0.46s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   14 (   9 unt;   0 nHn;  14 RR)
%            Number of literals    :   20 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 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,
    ~ p4(a,u,v),
    file('SYN268-1.p',unknown),
    [] ).

cnf(10,axiom,
    r0(b),
    file('SYN268-1.p',unknown),
    [] ).

cnf(21,axiom,
    l0(a),
    file('SYN268-1.p',unknown),
    [] ).

cnf(126,axiom,
    ( ~ r0(b)
    | ~ p1(a,a,a)
    | p1(a,b,a) ),
    file('SYN268-1.p',unknown),
    [] ).

cnf(127,axiom,
    ( ~ l0(a)
    | p1(a,a,a) ),
    file('SYN268-1.p',unknown),
    [] ).

cnf(176,axiom,
    ( ~ p1(u,v,w)
    | n2(w) ),
    file('SYN268-1.p',unknown),
    [] ).

cnf(283,axiom,
    ( ~ n2(u)
    | p3(u,u,u) ),
    file('SYN268-1.p',unknown),
    [] ).

cnf(330,axiom,
    ( ~ p3(u,u,v)
    | p4(v,v,v) ),
    file('SYN268-1.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(419,plain,
    ~ p3(u,u,a),
    inference(res,[status(thm),theory(equality)],[330,1]),
    [iquote('0:Res:330.1,1.0')] ).

cnf(480,plain,
    ~ n2(a),
    inference(res,[status(thm),theory(equality)],[283,419]),
    [iquote('0:Res:283.1,419.0')] ).

cnf(497,plain,
    n2(a),
    inference(res,[status(thm),theory(equality)],[389,176]),
    [iquote('0:Res:389.0,176.0')] ).

cnf(503,plain,
    $false,
    inference(mrr,[status(thm)],[497,480]),
    [iquote('0:MRR:497.0,480.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SYN268-1 : TPTP v8.1.0. Released v1.1.0.
% 0.08/0.12  % Command  : run_spass %d %s
% 0.13/0.33  % Computer : n007.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jul 11 12:10:17 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.20/0.46  
% 0.20/0.46  SPASS V 3.9 
% 0.20/0.46  SPASS beiseite: Proof found.
% 0.20/0.46  % SZS status Theorem
% 0.20/0.46  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.46  SPASS derived 52 clauses, backtracked 0 clauses, performed 0 splits and kept 376 clauses.
% 0.20/0.46  SPASS allocated 76129 KBytes.
% 0.20/0.46  SPASS spent	0:00:00.11 on the problem.
% 0.20/0.46  		0:00:00.04 for the input.
% 0.20/0.46  		0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.46  		0:00:00.00 for inferences.
% 0.20/0.46  		0:00:00.00 for the backtracking.
% 0.20/0.46  		0:00:00.03 for the reduction.
% 0.20/0.46  
% 0.20/0.46  
% 0.20/0.46  Here is a proof with depth 2, length 14 :
% 0.20/0.46  % SZS output start Refutation
% See solution above
% 0.20/0.46  Formulae used in the proof : prove_this axiom_9 axiom_20 rule_087 rule_088 rule_137 rule_244 rule_291
% 0.20/0.46  
%------------------------------------------------------------------------------