TSTP Solution File: SET001-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET001-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% 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  : 300s
% DateTime : Fri May  3 02:59:11 EDT 2024

% Result   : Unsatisfiable 1.68s 1.17s
% Output   : CNFRefutation 1.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   5 unt;   0 nHn;   9 RR)
%            Number of literals    :   16 (   0 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    equal_sets(b,bb),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_equals_bb) ).

cnf(c_50,plain,
    member(element_of_b,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_of_b) ).

cnf(c_51,negated_conjecture,
    ~ member(element_of_b,bb),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_element_of_bb) ).

cnf(c_52,plain,
    ( ~ member(X0,X1)
    | ~ subset(X1,X2)
    | member(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET001-0.ax',membership_in_subsets) ).

cnf(c_55,plain,
    ( ~ equal_sets(X0,X1)
    | subset(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET001-0.ax',set_equal_sets_are_subsets1) ).

cnf(c_100,plain,
    subset(b,bb),
    inference(resolution,[status(thm)],[c_49,c_55]) ).

cnf(c_221,plain,
    ( ~ subset(b,X0)
    | ~ member(element_of_b,b)
    | member(element_of_b,X0) ),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_222,plain,
    ( ~ member(element_of_b,b)
    | ~ subset(b,bb)
    | member(element_of_b,bb) ),
    inference(instantiation,[status(thm)],[c_221]) ).

cnf(c_223,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_222,c_100,c_51,c_50]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n015.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 20:57:21 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.68/1.17  % SZS status Started for theBenchmark.p
% 1.68/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 1.68/1.17  
% 1.68/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.68/1.17  
% 1.68/1.17  ------  iProver source info
% 1.68/1.17  
% 1.68/1.17  git: date: 2024-05-02 19:28:25 +0000
% 1.68/1.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.68/1.17  git: non_committed_changes: false
% 1.68/1.17  
% 1.68/1.17  ------ Parsing...successful
% 1.68/1.17  
% 1.68/1.17  
% 1.68/1.17  
% 1.68/1.17  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.68/1.17  
% 1.68/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.68/1.17  ------ Proving...
% 1.68/1.17  ------ Problem Properties 
% 1.68/1.17  
% 1.68/1.17  
% 1.68/1.17  clauses                                 7
% 1.68/1.17  conjectures                             1
% 1.68/1.17  EPR                                     5
% 1.68/1.17  Horn                                    6
% 1.68/1.17  unary                                   4
% 1.68/1.17  binary                                  2
% 1.68/1.17  lits                                    11
% 1.68/1.17  lits eq                                 0
% 1.68/1.17  fd_pure                                 0
% 1.68/1.17  fd_pseudo                               0
% 1.68/1.17  fd_cond                                 0
% 1.68/1.17  fd_pseudo_cond                          0
% 1.68/1.17  AC symbols                              0
% 1.68/1.17  
% 1.68/1.17  ------ Schedule dynamic 5 is on 
% 1.68/1.17  
% 1.68/1.17  ------ no equalities: superposition off 
% 1.68/1.17  
% 1.68/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.68/1.17  
% 1.68/1.17  
% 1.68/1.17  ------ 
% 1.68/1.17  Current options:
% 1.68/1.17  ------ 
% 1.68/1.17  
% 1.68/1.17  
% 1.68/1.17  
% 1.68/1.17  
% 1.68/1.17  ------ Proving...
% 1.68/1.17  
% 1.68/1.17  
% 1.68/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 1.68/1.17  
% 1.68/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.68/1.17  
% 1.68/1.17  
%------------------------------------------------------------------------------