TSTP Solution File: SYN006-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN006-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n014.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  : 300s
% DateTime : Fri May  3 03:28:34 EDT 2024

% Result   : Unsatisfiable 0.74s 1.18s
% Output   : CNFRefutation 0.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   14 (   8 unt;   3 nHn;   9 RR)
%            Number of literals    :   22 (   0 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   21 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ( ~ p1(X0,f(X1))
    | q1(f(X0),X1)
    | q2(X0,f(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).

cnf(c_50,negated_conjecture,
    p1(a,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).

cnf(c_51,negated_conjecture,
    ~ q2(X0,f(X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).

cnf(c_52,negated_conjecture,
    ( ~ p2(X0,f(X1))
    | q3(f(X0),X1)
    | q4(X0,f(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).

cnf(c_53,negated_conjecture,
    ~ q3(X0,g(X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).

cnf(c_54,negated_conjecture,
    ~ q4(f(f(X0)),f(g(f(X1)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).

cnf(c_55,negated_conjecture,
    ( ~ q1(X0,f(X1))
    | p2(f(X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).

cnf(c_63,plain,
    ( q1(f(X0),X1)
    | ~ p1(X0,f(X1)) ),
    inference(global_subsumption_just,[status(thm)],[c_49,c_51,c_49]) ).

cnf(c_64,negated_conjecture,
    ( ~ p1(X0,f(X1))
    | q1(f(X0),X1) ),
    inference(renaming,[status(thm)],[c_63]) ).

cnf(c_88,plain,
    q1(f(a),X0),
    inference(resolution,[status(thm)],[c_64,c_50]) ).

cnf(c_94,plain,
    p2(f(f(a)),X0),
    inference(resolution,[status(thm)],[c_55,c_88]) ).

cnf(c_100,plain,
    ( q3(f(f(f(a))),X0)
    | q4(f(f(a)),f(X0)) ),
    inference(resolution,[status(thm)],[c_52,c_94]) ).

cnf(c_110,plain,
    q4(f(f(a)),f(g(X0))),
    inference(resolution,[status(thm)],[c_53,c_100]) ).

cnf(c_116,plain,
    $false,
    inference(resolution,[status(thm)],[c_54,c_110]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN006-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n014.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  : 300
% 0.13/0.34  % DateTime : Thu May  2 20:53:32 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.74/1.18  % SZS status Started for theBenchmark.p
% 0.74/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 0.74/1.18  
% 0.74/1.18  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.74/1.18  
% 0.74/1.18  ------  iProver source info
% 0.74/1.18  
% 0.74/1.18  git: date: 2024-05-02 19:28:25 +0000
% 0.74/1.18  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.74/1.18  git: non_committed_changes: false
% 0.74/1.18  
% 0.74/1.18  ------ Parsing...successful
% 0.74/1.18  
% 0.74/1.18  
% 0.74/1.18  
% 0.74/1.18  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s
% 0.74/1.18  
% 0.74/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 0.74/1.18  
% 0.74/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.74/1.18  
% 0.74/1.18  
%------------------------------------------------------------------------------