%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO146+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n017.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 : Sat Jul 16 06:22:43 EDT 2022

% Result   : Theorem 0.74s 0.94s
% Output   : Refutation 0.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   15 (   8 unt;   1 nHn;  15 RR)
%            Number of literals    :   22 (   0 equ;   9 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(22,axiom,
    ( connect(skc4,skc3,skc5)
    | connect(skc3,skc4,skc5) ),
    file('GEO146+1.p',unknown),
    [] ).

cnf(34,axiom,
    ( ~ once(at_the_same_time(u,v))
    | once(at_the_same_time(v,u)) ),
    file('GEO146+1.p',unknown),
    [] ).

cnf(37,axiom,
    ( ~ connect(skc4,skc3,skc5)
    | ~ connect(skc3,skc4,skc5) ),
    file('GEO146+1.p',unknown),
    [] ).

cnf(58,axiom,
    ( ~ connect(u,v,w)
    | once(at_the_same_time(at(u,w),at(v,w))) ),
    file('GEO146+1.p',unknown),
    [] ).

cnf(59,axiom,
    ( ~ once(at_the_same_time(at(u,v),at(w,v)))
    | connect(u,w,v) ),
    file('GEO146+1.p',unknown),
    [] ).

cnf(110,plain,
    connect(skc4,skc3,skc5),
    inference(spt,[spt(split,[position(s1)])],[22]),
    [iquote('1:Spt:22.0')] ).

cnf(111,plain,
    ~ connect(skc3,skc4,skc5),
    inference(mrr,[status(thm)],[37,110]),
    [iquote('1:MRR:37.0,110.0')] ).

cnf(246,plain,
    ( ~ connect(u,v,w)
    | once(at_the_same_time(at(v,w),at(u,w))) ),
    inference(res,[status(thm),theory(equality)],[58,34]),
    [iquote('0:Res:58.1,34.0')] ).

cnf(1636,plain,
    ( ~ connect(u,v,w)
    | connect(v,u,w) ),
    inference(res,[status(thm),theory(equality)],[246,59]),
    [iquote('0:Res:246.1,59.0')] ).

cnf(1725,plain,
    connect(skc3,skc4,skc5),
    inference(res,[status(thm),theory(equality)],[110,1636]),
    [iquote('1:Res:110.0,1636.0')] ).

cnf(1762,plain,
    $false,
    inference(mrr,[status(thm)],[1725,111]),
    [iquote('1:MRR:1725.0,111.0')] ).

cnf(1763,plain,
    ~ connect(skc4,skc3,skc5),
    inference(spt,[spt(split,[position(sa)])],[1762,110]),
    [iquote('1:Spt:1762.0,22.0,110.0')] ).

cnf(1764,plain,
    connect(skc3,skc4,skc5),
    inference(spt,[spt(split,[position(s2)])],[22]),
    [iquote('1:Spt:1762.0,22.1')] ).

cnf(1765,plain,
    connect(skc4,skc3,skc5),
    inference(res,[status(thm),theory(equality)],[1764,1636]),
    [iquote('1:Res:1764.0,1636.0')] ).

cnf(1770,plain,
    $false,
    inference(mrr,[status(thm)],[1765,1763]),
    [iquote('1:MRR:1765.0,1763.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GEO146+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n017.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
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 18 05:18:12 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.74/0.94  
% 0.74/0.94  SPASS V 3.9 
% 0.74/0.94  SPASS beiseite: Proof found.
% 0.74/0.94  % SZS status Theorem
% 0.74/0.94  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.74/0.94  SPASS derived 1612 clauses, backtracked 3 clauses, performed 1 splits and kept 1317 clauses.
% 0.74/0.94  SPASS allocated 99968 KBytes.
% 0.74/0.94  SPASS spent	0:00:00.59 on the problem.
% 0.74/0.94  		0:00:00.04 for the input.
% 0.74/0.94  		0:00:00.09 for the FLOTTER CNF translation.
% 0.74/0.94  		0:00:00.03 for inferences.
% 0.74/0.94  		0:00:00.00 for the backtracking.
% 0.74/0.94  		0:00:00.40 for the reduction.
% 0.74/0.94  
% 0.74/0.94  
% 0.74/0.94  Here is a proof with depth 3, length 15 :
% 0.74/0.94  % SZS output start Refutation
% See solution above
% 0.74/0.94  Formulae used in the proof : t12 symmetry_of_at_the_same_time connect_defn
% 0.74/0.94  
%------------------------------------------------------------------------------