%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN568-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n010.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 12:22:56 EDT 2022

% Result   : Unsatisfiable 0.20s 0.46s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   12 (   7 unt;   2 nHn;  12 RR)
%            Number of literals    :   22 (   0 equ;  12 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ~ p11(f9(c13),f9(c14)),
    file('SYN568-1.p',unknown),
    [] ).

cnf(4,axiom,
    p11(f5(f6(c12)),f9(u)),
    file('SYN568-1.p',unknown),
    [] ).

cnf(5,axiom,
    ( p11(u,v)
    | p10(v,u) ),
    file('SYN568-1.p',unknown),
    [] ).

cnf(6,axiom,
    ( ~ p11(u,v)
    | ~ p10(v,u) ),
    file('SYN568-1.p',unknown),
    [] ).

cnf(7,axiom,
    ~ p3(f6(f7(f8(c12))),f6(c12)),
    file('SYN568-1.p',unknown),
    [] ).

cnf(18,axiom,
    p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))),
    file('SYN568-1.p',unknown),
    [] ).

cnf(20,axiom,
    ( ~ p10(u,v)
    | ~ p11(f5(f6(c12)),u)
    | p3(w,f6(c12))
    | p10(f4(u,w),f4(v,w)) ),
    file('SYN568-1.p',unknown),
    [] ).

cnf(124,plain,
    ( ~ p10(u,v)
    | ~ p11(f5(f6(c12)),u)
    | ~ p11(f4(v,w),f4(u,w))
    | p3(w,f6(c12)) ),
    inference(res,[status(thm),theory(equality)],[20,6]),
    [iquote('0:Res:20.3,6.1')] ).

cnf(240,plain,
    ( ~ p10(f9(c14),f9(c13))
    | ~ p11(f5(f6(c12)),f9(c14))
    | p3(f6(f7(f8(c12))),f6(c12)) ),
    inference(res,[status(thm),theory(equality)],[18,124]),
    [iquote('0:Res:18.0,124.2')] ).

cnf(242,plain,
    ~ p10(f9(c14),f9(c13)),
    inference(mrr,[status(thm)],[240,4,7]),
    [iquote('0:MRR:240.1,240.2,4.0,7.0')] ).

cnf(243,plain,
    p11(f9(c13),f9(c14)),
    inference(res,[status(thm),theory(equality)],[5,242]),
    [iquote('0:Res:5.1,242.0')] ).

cnf(244,plain,
    $false,
    inference(mrr,[status(thm)],[243,3]),
    [iquote('0:MRR:243.0,3.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SYN568-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13  % Command  : run_spass %d %s
% 0.13/0.35  % Computer : n010.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 03:33:45 EDT 2022
% 0.13/0.35  % 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/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.46  SPASS derived 222 clauses, backtracked 0 clauses, performed 0 splits and kept 144 clauses.
% 0.20/0.46  SPASS allocated 63331 KBytes.
% 0.20/0.46  SPASS spent	0:00:00.09 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  		0:00:00.02 for the reduction.
% 0.20/0.46  
% 0.20/0.46  
% 0.20/0.46  Here is a proof with depth 3, length 12 :
% 0.20/0.46  % SZS output start Refutation
% See solution above
% 0.20/0.46  Formulae used in the proof : not_p11_3 p11_4 p10_5 not_p10_6 not_p3_7 p11_18 p3_20
% 0.20/0.46  
%------------------------------------------------------------------------------