TSTP Solution File: SYN093-1.002 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN093-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n026.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 12:18:33 EDT 2022

% Result   : Unsatisfiable 0.22s 0.42s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   13 (   6 unt;   3 nHn;  13 RR)
%            Number of literals    :   22 (   0 equ;   9 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(1,axiom,
    ~ u_1,
    file('SYN093-1.002.p',unknown),
    [] ).

cnf(4,axiom,
    ( ~ q_2_2
    | ~ q_1_1
    | u_3
    | p_1_2 ),
    file('SYN093-1.002.p',unknown),
    [] ).

cnf(5,axiom,
    ( ~ u_3
    | p_1_2 ),
    file('SYN093-1.002.p',unknown),
    [] ).

cnf(20,axiom,
    ( u_11
    | q_1_1 ),
    file('SYN093-1.002.p',unknown),
    [] ).

cnf(21,axiom,
    ( ~ u_11
    | q_1_1 ),
    file('SYN093-1.002.p',unknown),
    [] ).

cnf(24,axiom,
    ( u_13
    | q_2_2 ),
    file('SYN093-1.002.p',unknown),
    [] ).

cnf(25,axiom,
    ( ~ u_13
    | q_2_2 ),
    file('SYN093-1.002.p',unknown),
    [] ).

cnf(26,axiom,
    ( ~ p_1_2
    | u_1 ),
    file('SYN093-1.002.p',unknown),
    [] ).

cnf(27,plain,
    ~ p_1_2,
    inference(mrr,[status(thm)],[26,1]),
    [iquote('0:MRR:26.1,1.0')] ).

cnf(28,plain,
    q_2_2,
    inference(mrr,[status(thm)],[25,24]),
    [iquote('0:MRR:25.0,24.0')] ).

cnf(30,plain,
    q_1_1,
    inference(mrr,[status(thm)],[21,20]),
    [iquote('0:MRR:21.0,20.0')] ).

cnf(32,plain,
    ~ u_3,
    inference(mrr,[status(thm)],[5,27]),
    [iquote('0:MRR:5.1,27.0')] ).

cnf(35,plain,
    $false,
    inference(mrr,[status(thm)],[4,28,30,32,27]),
    [iquote('0:MRR:4.0,4.1,4.2,4.3,28.0,30.0,32.0,27.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SYN093-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.08/0.14  % Command  : run_spass %d %s
% 0.15/0.35  % Computer : n026.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Mon Jul 11 14:34:42 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 0.22/0.42  
% 0.22/0.42  SPASS V 3.9 
% 0.22/0.42  SPASS beiseite: Proof found.
% 0.22/0.42  % SZS status Theorem
% 0.22/0.42  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.22/0.42  SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 16 clauses.
% 0.22/0.42  SPASS allocated 63090 KBytes.
% 0.22/0.42  SPASS spent	0:00:00.06 on the problem.
% 0.22/0.42  		0:00:00.03 for the input.
% 0.22/0.42  		0:00:00.00 for the FLOTTER CNF translation.
% 0.22/0.42  		0:00:00.00 for inferences.
% 0.22/0.42  		0:00:00.00 for the backtracking.
% 0.22/0.42  		0:00:00.00 for the reduction.
% 0.22/0.42  
% 0.22/0.42  
% 0.22/0.42  Here is a proof with depth 0, length 13 :
% 0.22/0.42  % SZS output start Refutation
% See solution above
% 0.22/0.42  Formulae used in the proof : u_1_s2_goal_1 u_s2_type11_2 u_3_s2_type11_2 u_t2_2 u_11_t2_2 u_t2_4 u_13_t2_4 u_s2_goal_1
% 0.22/0.42  
%------------------------------------------------------------------------------