%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : KRS090+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n027.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 : Sun Jul 17 03:30:31 EDT 2022

% Result   : Unsatisfiable 0.24s 0.48s
% Output   : Refutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   18 (   4 unt;   1 nHn;  18 RR)
%            Number of literals    :   39 (   0 equ;  26 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    cTEST(i2003_11_14_17_19_57994),
    file('KRS090+1.p',unknown),
    [] ).

cnf(4,axiom,
    cC2(skf1(u)),
    file('KRS090+1.p',unknown),
    [] ).

cnf(6,axiom,
    ( ~ cTEST(u)
    | cC4(u) ),
    file('KRS090+1.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ cTEST(u)
    | cC5(u) ),
    file('KRS090+1.p',unknown),
    [] ).

cnf(42,axiom,
    ( ~ cC2(u)
    | cB(u)
    | cA(u) ),
    file('KRS090+1.p',unknown),
    [] ).

cnf(43,axiom,
    ( ~ cC4(u)
    | rR(u,skf1(u)) ),
    file('KRS090+1.p',unknown),
    [] ).

cnf(44,axiom,
    ( ~ cB(u)
    | ~ cC2(u)
    | cA(u) ),
    file('KRS090+1.p',unknown),
    [] ).

cnf(45,axiom,
    ( ~ cA(u)
    | ~ cC3(u)
    | cB(u) ),
    file('KRS090+1.p',unknown),
    [] ).

cnf(46,axiom,
    ( ~ cB(u)
    | ~ cA(u)
    | ~ cC3(u) ),
    file('KRS090+1.p',unknown),
    [] ).

cnf(47,axiom,
    ( ~ cC5(u)
    | ~ rR(u,v)
    | cC3(v) ),
    file('KRS090+1.p',unknown),
    [] ).

cnf(48,plain,
    ( ~ cC2(u)
    | cA(u) ),
    inference(mrr,[status(thm)],[44,42]),
    [iquote('0:MRR:44.0,42.1')] ).

cnf(49,plain,
    ( ~ cC3(u)
    | ~ cA(u) ),
    inference(mrr,[status(thm)],[46,45]),
    [iquote('0:MRR:46.0,45.2')] ).

cnf(124,plain,
    ( ~ cC4(u)
    | ~ cC5(u)
    | cC3(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[43,47]),
    [iquote('0:Res:43.1,47.1')] ).

cnf(125,plain,
    ( ~ cC4(u)
    | ~ cC5(u)
    | ~ cC2(skf1(u)) ),
    inference(ems,[status(thm)],[49,124,48]),
    [iquote('0:EmS:49.0,49.1,124.2,48.1')] ).

cnf(126,plain,
    ( ~ cC4(u)
    | ~ cC5(u) ),
    inference(ssi,[status(thm)],[125,4,124]),
    [iquote('0:SSi:125.2,4.2,124.0')] ).

cnf(127,plain,
    ( ~ cTEST(u)
    | ~ cTEST(u) ),
    inference(ems,[status(thm)],[126,6,8]),
    [iquote('0:EmS:126.0,126.1,6.1,8.1')] ).

cnf(128,plain,
    ~ cTEST(u),
    inference(obv,[status(thm),theory(equality)],[127]),
    [iquote('0:Obv:127.0')] ).

cnf(129,plain,
    $false,
    inference(unc,[status(thm)],[128,2]),
    [iquote('0:UnC:128.0,2.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem  : KRS090+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.15  % Command  : run_spass %d %s
% 0.15/0.37  % Computer : n027.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 600
% 0.15/0.37  % DateTime : Tue Jun  7 08:04:10 EDT 2022
% 0.15/0.37  % CPUTime  : 
% 0.24/0.48  
% 0.24/0.48  SPASS V 3.9 
% 0.24/0.48  SPASS beiseite: Proof found.
% 0.24/0.48  % SZS status Theorem
% 0.24/0.48  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.24/0.48  SPASS derived 3 clauses, backtracked 0 clauses, performed 0 splits and kept 50 clauses.
% 0.24/0.48  SPASS allocated 97725 KBytes.
% 0.24/0.48  SPASS spent	0:00:00.10 on the problem.
% 0.24/0.48  		0:00:00.04 for the input.
% 0.24/0.48  		0:00:00.03 for the FLOTTER CNF translation.
% 0.24/0.48  		0:00:00.00 for inferences.
% 0.24/0.48  		0:00:00.00 for the backtracking.
% 0.24/0.48  		0:00:00.00 for the reduction.
% 0.24/0.48  
% 0.24/0.48  
% 0.24/0.48  Here is a proof with depth 3, length 18 :
% 0.24/0.48  % SZS output start Refutation
% See solution above
% 0.24/0.48  Formulae used in the proof : axiom_8 axiom_5 axiom_7 axiom_3 axiom_4 axiom_6
% 0.24/0.48  
%------------------------------------------------------------------------------