%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : CSR004+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% 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 : Fri Jul 15 23:24:11 EDT 2022

% Result   : Theorem 0.22s 0.51s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   4 unt;   0 nHn;   7 RR)
%            Number of literals    :   13 (   0 equ;   9 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    holdsAt(filling,n3),
    file('CSR004+2.p',unknown),
    [] ).

cnf(2,axiom,
    ~ happens(overflow,n3),
    file('CSR004+2.p',unknown),
    [] ).

cnf(9,axiom,
    holdsAt(waterLevel(n3),n3),
    file('CSR004+2.p',unknown),
    [] ).

cnf(96,axiom,
    ( ~ equal(u,overflow)
    | ~ holdsAt(filling,v)
    | ~ holdsAt(waterLevel(n3),v)
    | happens(u,v) ),
    file('CSR004+2.p',unknown),
    [] ).

cnf(112,plain,
    ( ~ holdsAt(waterLevel(n3),n3)
    | ~ holdsAt(filling,n3)
    | ~ equal(overflow,overflow) ),
    inference(res,[status(thm),theory(equality)],[96,2]),
    [iquote('0:Res:96.3,2.0')] ).

cnf(113,plain,
    ( ~ holdsAt(waterLevel(n3),n3)
    | ~ holdsAt(filling,n3) ),
    inference(obv,[status(thm),theory(equality)],[112]),
    [iquote('0:Obv:112.2')] ).

cnf(114,plain,
    $false,
    inference(mrr,[status(thm)],[113,9,1]),
    [iquote('0:MRR:113.0,113.1,9.0,1.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : CSR004+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.13/0.14  % Command  : run_spass %d %s
% 0.14/0.36  % Computer : n017.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sat Jun 11 12:00:06 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.22/0.51  
% 0.22/0.51  SPASS V 3.9 
% 0.22/0.51  SPASS beiseite: Proof found.
% 0.22/0.51  % SZS status Theorem
% 0.22/0.51  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.22/0.51  SPASS derived 2 clauses, backtracked 0 clauses, performed 0 splits and kept 110 clauses.
% 0.22/0.51  SPASS allocated 86041 KBytes.
% 0.22/0.51  SPASS spent	0:00:00.14 on the problem.
% 0.22/0.51  		0:00:00.04 for the input.
% 0.22/0.51  		0:00:00.07 for the FLOTTER CNF translation.
% 0.22/0.51  		0:00:00.00 for inferences.
% 0.22/0.51  		0:00:00.00 for the backtracking.
% 0.22/0.51  		0:00:00.01 for the reduction.
% 0.22/0.51  
% 0.22/0.51  
% 0.22/0.51  Here is a proof with depth 1, length 7 :
% 0.22/0.51  % SZS output start Refutation
% See solution above
% 0.22/0.51  Formulae used in the proof : filling_3 overflow_3 waterLevel_3 happens_all_defn
% 0.22/0.51  
%------------------------------------------------------------------------------