TSTP Solution File: SYN097-1.002 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN097-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n015.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 12:18:35 EDT 2022

% Result   : Unsatisfiable 0.13s 0.41s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   13 (   6 unt;   1 nHn;  13 RR)
%            Number of literals    :   22 (   0 equ;  12 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    8 (   7 usr;   8 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(26,axiom,
    ( ~ sym_u_1
    | sym_p_1_2 ),
    file('SYN097-1.002.p',unknown),
    [] ).

cnf(27,axiom,
    sym_u_1,
    file('SYN097-1.002.p',unknown),
    [] ).

cnf(30,axiom,
    ( ~ sym_u_3
    | ~ sym_p_1_2
    | sym_q_2_2
    | sym_q_1_1 ),
    file('SYN097-1.002.p',unknown),
    [] ).

cnf(31,axiom,
    ( ~ sym_p_1_2
    | sym_u_3 ),
    file('SYN097-1.002.p',unknown),
    [] ).

cnf(46,axiom,
    ( ~ sym_u_11
    | ~ sym_q_1_1 ),
    file('SYN097-1.002.p',unknown),
    [] ).

cnf(47,axiom,
    ( ~ sym_q_1_1
    | sym_u_11 ),
    file('SYN097-1.002.p',unknown),
    [] ).

cnf(50,axiom,
    ( ~ sym_u_13
    | ~ sym_q_2_2 ),
    file('SYN097-1.002.p',unknown),
    [] ).

cnf(51,axiom,
    ( ~ sym_q_2_2
    | sym_u_13 ),
    file('SYN097-1.002.p',unknown),
    [] ).

cnf(54,plain,
    sym_p_1_2,
    inference(mrr,[status(thm)],[26,27]),
    [iquote('0:MRR:26.0,27.0')] ).

cnf(55,plain,
    sym_u_3,
    inference(mrr,[status(thm)],[31,54]),
    [iquote('0:MRR:31.0,54.0')] ).

cnf(63,plain,
    ~ sym_q_2_2,
    inference(mrr,[status(thm)],[50,51]),
    [iquote('0:MRR:50.0,51.1')] ).

cnf(65,plain,
    ~ sym_q_1_1,
    inference(mrr,[status(thm)],[46,47]),
    [iquote('0:MRR:46.0,47.1')] ).

cnf(68,plain,
    $false,
    inference(mrr,[status(thm)],[30,55,54,63,65]),
    [iquote('0:MRR:30.0,30.1,30.2,30.3,55.0,54.0,63.0,65.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN097-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.13  % Command  : run_spass %d %s
% 0.13/0.33  % Computer : n015.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
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jul 12 09:18:40 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.41  
% 0.13/0.41  SPASS V 3.9 
% 0.13/0.41  SPASS beiseite: Proof found.
% 0.13/0.41  % SZS status Theorem
% 0.13/0.41  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.13/0.41  SPASS derived 2 clauses, backtracked 0 clauses, performed 0 splits and kept 36 clauses.
% 0.13/0.41  SPASS allocated 63113 KBytes.
% 0.13/0.41  SPASS spent	0:00:00.06 on the problem.
% 0.13/0.41  		0:00:00.04 for the input.
% 0.13/0.41  		0:00:00.00 for the FLOTTER CNF translation.
% 0.13/0.41  		0:00:00.00 for inferences.
% 0.13/0.41  		0:00:00.00 for the backtracking.
% 0.13/0.41  		0:00:00.00 for the reduction.
% 0.13/0.41  
% 0.13/0.41  
% 0.13/0.41  Here is a proof with depth 0, length 13 :
% 0.13/0.41  % SZS output start Refutation
% See solution above
% 0.13/0.41  Formulae used in the proof : sym_u_s2_goal_1 sym_u_1_s2_goal_1 sym_u_s2_type11_2 sym_u_3_s2_type11_2 sym_u_t2_2 sym_u_11_t2_2 sym_u_t2_4 sym_u_13_t2_4
% 0.13/0.41  
%------------------------------------------------------------------------------