TSTP Solution File: SYN346+1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN346+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : Thu Jul 21 12:20:35 EDT 2022

% Result   : Theorem 0.09s 0.31s
% Output   : Refutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    2
% Syntax   : Number of clauses     :    4 (   3 unt;   0 nHn;   4 RR)
%            Number of literals    :    5 (   0 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    big(u,skf2(u,v)),
    file('SYN346+1.p',unknown),
    [] ).

cnf(3,axiom,
    ( ~ big(u,skf2(v,u))
    | ~ big(skc1,skf2(v,u)) ),
    file('SYN346+1.p',unknown),
    [] ).

cnf(5,plain,
    ~ big(skc1,skf2(u,u)),
    inference(res,[status(thm),theory(equality)],[2,3]),
    [iquote('0:Res:2.0,3.0')] ).

cnf(6,plain,
    $false,
    inference(unc,[status(thm)],[5,2]),
    [iquote('0:UnC:5.0,2.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : SYN346+1 : TPTP v8.1.0. Released v2.0.0.
% 0.00/0.07  % Command  : run_spass %d %s
% 0.06/0.25  % Computer : n019.cluster.edu
% 0.06/0.25  % Model    : x86_64 x86_64
% 0.06/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25  % Memory   : 8042.1875MB
% 0.06/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25  % CPULimit : 300
% 0.06/0.25  % WCLimit  : 600
% 0.06/0.25  % DateTime : Tue Jul 12 01:26:38 EDT 2022
% 0.06/0.25  % CPUTime  : 
% 0.09/0.31  
% 0.09/0.31  SPASS V 3.9 
% 0.09/0.31  SPASS beiseite: Proof found.
% 0.09/0.31  % SZS status Theorem
% 0.09/0.31  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.09/0.31  SPASS derived 1 clauses, backtracked 0 clauses, performed 0 splits and kept 5 clauses.
% 0.09/0.31  SPASS allocated 85060 KBytes.
% 0.09/0.31  SPASS spent	0:00:00.05 on the problem.
% 0.09/0.31  		0:00:00.02 for the input.
% 0.09/0.31  		0:00:00.01 for the FLOTTER CNF translation.
% 0.09/0.31  		0:00:00.00 for inferences.
% 0.09/0.31  		0:00:00.00 for the backtracking.
% 0.09/0.31  		0:00:00.00 for the reduction.
% 0.09/0.31  
% 0.09/0.31  
% 0.09/0.31  Here is a proof with depth 1, length 4 :
% 0.09/0.31  % SZS output start Refutation
% See solution above
% 0.09/0.31  Formulae used in the proof : church_46_17_2
% 0.09/0.31  
%------------------------------------------------------------------------------