%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN151-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n028.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 12:19:03 EDT 2022

% Result   : Unsatisfiable 0.18s 0.45s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   7 unt;   0 nHn;  11 RR)
%            Number of literals    :   16 (   0 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ~ n2(d),
    file('SYN151-1.p',unknown),
    [] ).

cnf(2,axiom,
    s0(d),
    file('SYN151-1.p',unknown),
    [] ).

cnf(35,axiom,
    n0(c,d),
    file('SYN151-1.p',unknown),
    [] ).

cnf(40,axiom,
    ( ~ n0(u,v)
    | k1(v) ),
    file('SYN151-1.p',unknown),
    [] ).

cnf(111,axiom,
    ( ~ s0(u)
    | ~ s0(v)
    | p1(v,v,v) ),
    file('SYN151-1.p',unknown),
    [] ).

cnf(176,axiom,
    ( ~ p1(u,v,w)
    | n2(w) ),
    file('SYN151-1.p',unknown),
    [] ).

cnf(383,plain,
    ( ~ s0(u)
    | p1(u,u,u) ),
    inference(con,[status(thm)],[111]),
    [iquote('0:Con:111.0')] ).

cnf(419,plain,
    ~ p1(u,v,d),
    inference(res,[status(thm),theory(equality)],[176,1]),
    [iquote('0:Res:176.1,1.0')] ).

cnf(457,plain,
    k1(d),
    inference(res,[status(thm),theory(equality)],[35,40]),
    [iquote('0:Res:35.0,40.0')] ).

cnf(471,plain,
    ~ s0(d),
    inference(res,[status(thm),theory(equality)],[383,419]),
    [iquote('0:Res:383.1,419.0')] ).

cnf(472,plain,
    $false,
    inference(ssi,[status(thm)],[471,2,457]),
    [iquote('0:SSi:471.0,2.0,457.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SYN151-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n028.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 : Mon Jul 11 14:00:58 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  
% 0.18/0.45  SPASS V 3.9 
% 0.18/0.45  SPASS beiseite: Proof found.
% 0.18/0.45  % SZS status Theorem
% 0.18/0.45  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.45  SPASS derived 20 clauses, backtracked 0 clauses, performed 0 splits and kept 350 clauses.
% 0.18/0.45  SPASS allocated 76111 KBytes.
% 0.18/0.45  SPASS spent	0:00:00.11 on the problem.
% 0.18/0.45  		0:00:00.04 for the input.
% 0.18/0.45  		0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.45  		0:00:00.00 for inferences.
% 0.18/0.45  		0:00:00.00 for the backtracking.
% 0.18/0.45  		0:00:00.03 for the reduction.
% 0.18/0.45  
% 0.18/0.45  
% 0.18/0.45  Here is a proof with depth 2, length 11 :
% 0.18/0.45  % SZS output start Refutation
% See solution above
% 0.18/0.45  Formulae used in the proof : prove_this axiom_1 axiom_34 rule_001 rule_072 rule_137
% 0.18/0.45  
%------------------------------------------------------------------------------