%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN700-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n003.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 12:23:45 EDT 2022

% Result   : Unsatisfiable 61.63s 61.81s
% Output   : Refutation 61.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   16 (  10 unt;   0 nHn;  16 RR)
%            Number of literals    :   24 (   0 equ;  13 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   8 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(7,axiom,
    p10(u,u),
    file('SYN700-1.p',unknown),
    [] ).

cnf(12,axiom,
    p2(u,u),
    file('SYN700-1.p',unknown),
    [] ).

cnf(16,axiom,
    p2(c44,c46),
    file('SYN700-1.p',unknown),
    [] ).

cnf(37,axiom,
    ( ~ p2(u,v)
    | p3(f4(u),f4(v)) ),
    file('SYN700-1.p',unknown),
    [] ).

cnf(43,axiom,
    ( ~ p2(u,v)
    | ~ p2(u,w)
    | p2(w,v) ),
    file('SYN700-1.p',unknown),
    [] ).

cnf(56,axiom,
    p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
    file('SYN700-1.p',unknown),
    [] ).

cnf(57,axiom,
    ~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    file('SYN700-1.p',unknown),
    [] ).

cnf(62,axiom,
    ( ~ p3(u,v)
    | ~ p10(w,x)
    | p2(f11(u,w),f11(v,x)) ),
    file('SYN700-1.p',unknown),
    [] ).

cnf(167,plain,
    ( ~ p2(u,v)
    | p2(v,u) ),
    inference(res,[status(thm),theory(equality)],[12,43]),
    [iquote('0:Res:12.0,43.0')] ).

cnf(186,plain,
    p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    inference(res,[status(thm),theory(equality)],[56,167]),
    [iquote('0:Res:56.0,167.0')] ).

cnf(3674,plain,
    ( ~ p2(f11(f4(c44),c43),u)
    | p2(u,f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
    inference(res,[status(thm),theory(equality)],[186,43]),
    [iquote('0:Res:186.0,43.0')] ).

cnf(28309,plain,
    ~ p2(f11(f4(c44),c43),f11(f4(c46),c43)),
    inference(res,[status(thm),theory(equality)],[3674,57]),
    [iquote('0:Res:3674.1,57.0')] ).

cnf(28334,plain,
    ( ~ p3(f4(c44),f4(c46))
    | ~ p10(c43,c43) ),
    inference(res,[status(thm),theory(equality)],[62,28309]),
    [iquote('0:Res:62.2,28309.0')] ).

cnf(28340,plain,
    ~ p3(f4(c44),f4(c46)),
    inference(mrr,[status(thm)],[28334,7]),
    [iquote('0:MRR:28334.1,7.0')] ).

cnf(28343,plain,
    ~ p2(c44,c46),
    inference(res,[status(thm),theory(equality)],[37,28340]),
    [iquote('0:Res:37.1,28340.0')] ).

cnf(28348,plain,
    $false,
    inference(mrr,[status(thm)],[28343,16]),
    [iquote('0:MRR:28343.0,16.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SYN700-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n003.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.33  % CPULimit : 300
% 0.18/0.33  % WCLimit  : 600
% 0.18/0.33  % DateTime : Tue Jul 12 06:13:15 EDT 2022
% 0.18/0.33  % CPUTime  : 
% 61.63/61.81  
% 61.63/61.81  SPASS V 3.9 
% 61.63/61.81  SPASS beiseite: Proof found.
% 61.63/61.81  % SZS status Theorem
% 61.63/61.81  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 61.63/61.81  SPASS derived 27806 clauses, backtracked 0 clauses, performed 0 splits and kept 16990 clauses.
% 61.63/61.81  SPASS allocated 94653 KBytes.
% 61.63/61.81  SPASS spent	0:01:00.37 on the problem.
% 61.63/61.81  		0:00:00.03 for the input.
% 61.63/61.81  		0:00:00.00 for the FLOTTER CNF translation.
% 61.63/61.81  		0:00:00.25 for inferences.
% 61.63/61.81  		0:00:00.00 for the backtracking.
% 61.63/61.81  		0:0:59.75 for the reduction.
% 61.63/61.81  
% 61.63/61.81  
% 61.63/61.81  Here is a proof with depth 6, length 16 :
% 61.63/61.81  % SZS output start Refutation
% See solution above
% 61.63/61.82  Formulae used in the proof : p10_7 p2_12 p2_16 p3_37 p2_43 p2_56 not_p2_57 p2_62
% 61.63/61.82  
%------------------------------------------------------------------------------