TSTP Solution File: SYN290-1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN290-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n018.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 12:20:00 EDT 2022

% Result   : Unsatisfiable 0.19s 0.47s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   5 RR)
%            Number of literals    :    6 (   0 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ~ q1(c,u,v),
    file('SYN290-1.p',unknown),
    [] ).

cnf(15,axiom,
    p0(b,u),
    file('SYN290-1.p',unknown),
    [] ).

cnf(134,axiom,
    ( ~ p0(u,v)
    | q1(v,u,u) ),
    file('SYN290-1.p',unknown),
    [] ).

cnf(424,plain,
    ~ p0(u,c),
    inference(res,[status(thm),theory(equality)],[134,1]),
    [iquote('0:Res:134.1,1.0')] ).

cnf(439,plain,
    $false,
    inference(unc,[status(thm)],[424,15]),
    [iquote('0:UnC:424.0,15.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN290-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 18:43:14 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  
% 0.19/0.47  SPASS V 3.9 
% 0.19/0.47  SPASS beiseite: Proof found.
% 0.19/0.47  % SZS status Theorem
% 0.19/0.47  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.47  SPASS derived 21 clauses, backtracked 0 clauses, performed 0 splits and kept 336 clauses.
% 0.19/0.47  SPASS allocated 76105 KBytes.
% 0.19/0.47  SPASS spent	0:00:00.11 on the problem.
% 0.19/0.47  		0:00:00.04 for the input.
% 0.19/0.47  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.47  		0:00:00.00 for inferences.
% 0.19/0.47  		0:00:00.00 for the backtracking.
% 0.19/0.47  		0:00:00.03 for the reduction.
% 0.19/0.47  
% 0.19/0.47  
% 0.19/0.47  Here is a proof with depth 1, length 5 :
% 0.19/0.47  % SZS output start Refutation
% See solution above
% 0.19/0.47  Formulae used in the proof : prove_this axiom_14 rule_095
% 0.19/0.47  
%------------------------------------------------------------------------------