%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN192-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n011.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 12:19:20 EDT 2022

% Result   : Unsatisfiable 0.19s 0.48s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   25 (  12 unt;   0 nHn;  25 RR)
%            Number of literals    :   43 (   0 equ;  19 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ~ r4(a),
    file('SYN192-1.p',unknown),
    [] ).

cnf(4,axiom,
    n0(d,e),
    file('SYN192-1.p',unknown),
    [] ).

cnf(15,axiom,
    p0(b,u),
    file('SYN192-1.p',unknown),
    [] ).

cnf(31,axiom,
    n0(e,e),
    file('SYN192-1.p',unknown),
    [] ).

cnf(40,axiom,
    ( ~ n0(u,v)
    | k1(v) ),
    file('SYN192-1.p',unknown),
    [] ).

cnf(124,axiom,
    ( ~ p0(u,v)
    | p1(v,v,v) ),
    file('SYN192-1.p',unknown),
    [] ).

cnf(176,axiom,
    ( ~ p1(u,v,w)
    | n2(w) ),
    file('SYN192-1.p',unknown),
    [] ).

cnf(213,axiom,
    ( ~ n2(u)
    | ~ k1(e)
    | p2(u,u,u) ),
    file('SYN192-1.p',unknown),
    [] ).

cnf(220,axiom,
    ( ~ p1(u,u,u)
    | q2(u,u,u) ),
    file('SYN192-1.p',unknown),
    [] ).

cnf(279,axiom,
    ( ~ p2(u,v,w)
    | n3(w) ),
    file('SYN192-1.p',unknown),
    [] ).

cnf(294,axiom,
    ( ~ n0(u,v)
    | ~ q2(u,v,w)
    | q3(v,w) ),
    file('SYN192-1.p',unknown),
    [] ).

cnf(337,axiom,
    ( ~ n3(u)
    | ~ p0(v,u)
    | ~ q3(w,x)
    | r4(u) ),
    file('SYN192-1.p',unknown),
    [] ).

cnf(459,plain,
    k1(e),
    inference(res,[status(thm),theory(equality)],[4,40]),
    [iquote('0:Res:4.0,40.0')] ).

cnf(467,plain,
    ( ~ n2(u)
    | p2(u,u,u) ),
    inference(mrr,[status(thm)],[213,459]),
    [iquote('0:MRR:213.1,459.0')] ).

cnf(491,plain,
    ( ~ n2(u)
    | n3(u) ),
    inference(res,[status(thm),theory(equality)],[467,279]),
    [iquote('0:Res:467.1,279.0')] ).

cnf(541,plain,
    p1(u,u,u),
    inference(res,[status(thm),theory(equality)],[15,124]),
    [iquote('0:Res:15.0,124.0')] ).

cnf(542,plain,
    q2(u,u,u),
    inference(mrr,[status(thm)],[220,541]),
    [iquote('0:MRR:220.0,541.0')] ).

cnf(546,plain,
    n2(u),
    inference(res,[status(thm),theory(equality)],[541,176]),
    [iquote('0:Res:541.0,176.0')] ).

cnf(553,plain,
    n3(u),
    inference(mrr,[status(thm)],[491,546]),
    [iquote('0:MRR:491.0,546.0')] ).

cnf(562,plain,
    ( ~ p0(u,v)
    | ~ q3(w,x)
    | r4(v) ),
    inference(mrr,[status(thm)],[337,553]),
    [iquote('0:MRR:337.0,553.0')] ).

cnf(670,plain,
    ( ~ q3(u,v)
    | r4(w) ),
    inference(res,[status(thm),theory(equality)],[15,562]),
    [iquote('0:Res:15.0,562.0')] ).

cnf(939,plain,
    ( ~ n0(u,u)
    | q3(u,u) ),
    inference(res,[status(thm),theory(equality)],[542,294]),
    [iquote('0:Res:542.0,294.1')] ).

cnf(945,plain,
    q3(e,e),
    inference(res,[status(thm),theory(equality)],[31,939]),
    [iquote('0:Res:31.0,939.0')] ).

cnf(949,plain,
    r4(u),
    inference(res,[status(thm),theory(equality)],[945,670]),
    [iquote('0:Res:945.0,670.0')] ).

cnf(951,plain,
    $false,
    inference(unc,[status(thm)],[949,1]),
    [iquote('0:UnC:949.0,1.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN192-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.12  % Command  : run_spass %d %s
% 0.13/0.33  % Computer : n011.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jul 11 19:29:12 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.48  
% 0.19/0.48  SPASS V 3.9 
% 0.19/0.48  SPASS beiseite: Proof found.
% 0.19/0.48  % SZS status Theorem
% 0.19/0.48  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.48  SPASS derived 462 clauses, backtracked 0 clauses, performed 0 splits and kept 577 clauses.
% 0.19/0.48  SPASS allocated 76342 KBytes.
% 0.19/0.48  SPASS spent	0:00:00.14 on the problem.
% 0.19/0.48  		0:00:00.04 for the input.
% 0.19/0.48  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.48  		0:00:00.00 for inferences.
% 0.19/0.48  		0:00:00.00 for the backtracking.
% 0.19/0.48  		0:00:00.05 for the reduction.
% 0.19/0.48  
% 0.19/0.48  
% 0.19/0.48  Here is a proof with depth 3, length 25 :
% 0.19/0.48  % SZS output start Refutation
% See solution above
% 0.19/0.48  Formulae used in the proof : prove_this axiom_3 axiom_14 axiom_30 rule_001 rule_085 rule_137 rule_174 rule_181 rule_240 rule_255 rule_298
% 0.19/0.48  
%------------------------------------------------------------------------------