%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN583-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n029.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 12:23:01 EDT 2022

% Result   : Unsatisfiable 4.77s 4.98s
% Output   : Refutation 4.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   16 (   7 unt;   0 nHn;  16 RR)
%            Number of literals    :   34 (   0 equ;  20 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    p2(u,u),
    file('SYN583-1.p',unknown),
    [] ).

cnf(3,axiom,
    p5(u,u),
    file('SYN583-1.p',unknown),
    [] ).

cnf(5,axiom,
    p2(c18,c14),
    file('SYN583-1.p',unknown),
    [] ).

cnf(8,axiom,
    p11(f4(f6(c15,c14)),c16),
    file('SYN583-1.p',unknown),
    [] ).

cnf(9,axiom,
    ~ p11(f4(f6(c15,c18)),c16),
    file('SYN583-1.p',unknown),
    [] ).

cnf(14,axiom,
    ( ~ p2(u,v)
    | p2(f4(u),f4(v)) ),
    file('SYN583-1.p',unknown),
    [] ).

cnf(18,axiom,
    ( ~ p2(u,v)
    | ~ p2(u,w)
    | p2(w,v) ),
    file('SYN583-1.p',unknown),
    [] ).

cnf(21,axiom,
    ( ~ p11(u,v)
    | ~ p2(v,w)
    | ~ p2(u,x)
    | p11(x,w) ),
    file('SYN583-1.p',unknown),
    [] ).

cnf(23,axiom,
    ( ~ p5(u,v)
    | ~ p2(w,x)
    | p2(f6(u,w),f6(v,x)) ),
    file('SYN583-1.p',unknown),
    [] ).

cnf(38,plain,
    ( ~ p2(u,v)
    | p2(v,u) ),
    inference(res,[status(thm),theory(equality)],[2,18]),
    [iquote('0:Res:2.0,18.0')] ).

cnf(47,plain,
    p2(c14,c18),
    inference(res,[status(thm),theory(equality)],[5,38]),
    [iquote('0:Res:5.0,38.0')] ).

cnf(83,plain,
    ( ~ p2(c16,u)
    | ~ p2(f4(f6(c15,c14)),v)
    | p11(v,u) ),
    inference(res,[status(thm),theory(equality)],[8,21]),
    [iquote('0:Res:8.0,21.0')] ).

cnf(194,plain,
    ( ~ p2(f6(c15,c14),u)
    | ~ p2(c16,v)
    | p11(f4(u),v) ),
    inference(res,[status(thm),theory(equality)],[14,83]),
    [iquote('0:Res:14.1,83.1')] ).

cnf(552,plain,
    ( ~ p5(c15,u)
    | ~ p2(c14,v)
    | ~ p2(c16,w)
    | p11(f4(f6(u,v)),w) ),
    inference(res,[status(thm),theory(equality)],[23,194]),
    [iquote('0:Res:23.2,194.0')] ).

cnf(8376,plain,
    ( ~ p5(c15,c15)
    | ~ p2(c14,c18)
    | ~ p2(c16,c16) ),
    inference(res,[status(thm),theory(equality)],[552,9]),
    [iquote('0:Res:552.3,9.0')] ).

cnf(8379,plain,
    $false,
    inference(mrr,[status(thm)],[8376,3,47,2]),
    [iquote('0:MRR:8376.0,8376.1,8376.2,3.0,47.0,2.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN583-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n029.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 11:36:47 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 4.77/4.98  
% 4.77/4.98  SPASS V 3.9 
% 4.77/4.98  SPASS beiseite: Proof found.
% 4.77/4.98  % SZS status Theorem
% 4.77/4.98  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 4.77/4.98  SPASS derived 8210 clauses, backtracked 0 clauses, performed 2 splits and kept 5945 clauses.
% 4.77/4.98  SPASS allocated 67992 KBytes.
% 4.77/4.98  SPASS spent	0:00:04.60 on the problem.
% 4.77/4.98  		0:00:00.03 for the input.
% 4.77/4.98  		0:00:00.00 for the FLOTTER CNF translation.
% 4.77/4.98  		0:00:00.07 for inferences.
% 4.77/4.98  		0:00:00.00 for the backtracking.
% 4.77/4.98  		0:00:04.43 for the reduction.
% 4.77/4.98  
% 4.77/4.98  
% 4.77/4.98  Here is a proof with depth 4, length 16 :
% 4.77/4.98  % SZS output start Refutation
% See solution above
% 4.77/4.98  Formulae used in the proof : p2_2 p5_3 p2_5 p11_8 not_p11_9 p2_14 p2_18 p11_21 p2_23
% 4.77/4.98  
%------------------------------------------------------------------------------