TSTP Solution File: KRS267+1 by SPASS---3.9

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%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : KRS267+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n019.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 03:31:01 EDT 2022

% Result   : Theorem 1.61s 1.77s
% Output   : Refutation 1.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   12 (   6 unt;   2 nHn;  12 RR)
%            Number of literals    :   20 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    model(u,skc57),
    file('KRS267+1.p',unknown),
    [] ).

cnf(9,axiom,
    ~ mighta(tca,thm),
    file('KRS267+1.p',unknown),
    [] ).

cnf(11,axiom,
    ~ model(u,skc61),
    file('KRS267+1.p',unknown),
    [] ).

cnf(50,axiom,
    ( ~ model(skf61(u,v),u)
    | status__dfg(w,u,thm) ),
    file('KRS267+1.p',unknown),
    [] ).

cnf(90,axiom,
    ( ~ model(skf84(u),u)
    | model(skf85(v),v)
    | status__dfg(v,u,tca) ),
    file('KRS267+1.p',unknown),
    [] ).

cnf(92,axiom,
    ( ~ status__dfg(u,v,w)
    | ~ status__dfg(u,v,x)
    | mighta(x,w) ),
    file('KRS267+1.p',unknown),
    [] ).

cnf(112,plain,
    ( ~ status__dfg(u,v,thm)
    | ~ status__dfg(u,v,tca) ),
    inference(res,[status(thm),theory(equality)],[92,9]),
    [iquote('0:Res:92.2,9.0')] ).

cnf(334,plain,
    status__dfg(u,skc57,thm),
    inference(res,[status(thm),theory(equality)],[1,50]),
    [iquote('0:Res:1.0,50.0')] ).

cnf(1579,plain,
    ( model(skf85(u),u)
    | status__dfg(u,skc57,tca) ),
    inference(res,[status(thm),theory(equality)],[1,90]),
    [iquote('0:Res:1.0,90.0')] ).

cnf(5863,plain,
    ( ~ status__dfg(u,skc57,thm)
    | model(skf85(u),u) ),
    inference(res,[status(thm),theory(equality)],[1579,112]),
    [iquote('0:Res:1579.1,112.1')] ).

cnf(5871,plain,
    model(skf85(u),u),
    inference(mrr,[status(thm)],[5863,334]),
    [iquote('0:MRR:5863.0,334.0')] ).

cnf(5872,plain,
    $false,
    inference(unc,[status(thm)],[5871,11]),
    [iquote('0:UnC:5871.0,11.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KRS267+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.13  % Command  : run_spass %d %s
% 0.14/0.34  % Computer : n019.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Tue Jun  7 08:57:55 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 1.61/1.77  
% 1.61/1.77  SPASS V 3.9 
% 1.61/1.77  SPASS beiseite: Proof found.
% 1.61/1.77  % SZS status Theorem
% 1.61/1.77  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 1.61/1.77  SPASS derived 5651 clauses, backtracked 52 clauses, performed 39 splits and kept 3241 clauses.
% 1.61/1.77  SPASS allocated 88904 KBytes.
% 1.61/1.77  SPASS spent	0:00:01.39 on the problem.
% 1.61/1.77  		0:00:00.04 for the input.
% 1.61/1.77  		0:00:00.26 for the FLOTTER CNF translation.
% 1.61/1.77  		0:00:00.04 for inferences.
% 1.61/1.77  		0:00:00.01 for the backtracking.
% 1.61/1.77  		0:00:00.99 for the reduction.
% 1.61/1.77  
% 1.61/1.77  
% 1.61/1.77  Here is a proof with depth 2, length 12 :
% 1.61/1.77  % SZS output start Refutation
% See solution above
% 1.61/1.77  Formulae used in the proof : tautology mighta_tca_thm contradiction thm tca mighta
% 1.61/1.77  
%------------------------------------------------------------------------------