TSTP Solution File: SET114-7 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SET114-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n002.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 : Thu Aug 31 15:06:37 EDT 2023

% Result   : Unsatisfiable 3.31s 1.18s
% Output   : CNFRefutation 3.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   3 unt;   2 nHn;   4 RR)
%            Number of literals    :    7 (   3 equ;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :    1 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_112,plain,
    ( second(X0) = X0
    | member(ordered_pair(first(X0),second(X0)),cross_product(universal_class,universal_class)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_1st_and_2nd_3) ).

cnf(c_117,negated_conjecture,
    ~ member(ordered_pair(first(x),second(x)),cross_product(universal_class,universal_class)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unique_1st_and_2nd_in_pair_of_non_sets2_1) ).

cnf(c_118,negated_conjecture,
    second(x) != x,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unique_2nd_in_pair_of_non_sets) ).

cnf(c_8465,plain,
    ( second(x) = x
    | member(ordered_pair(first(x),second(x)),cross_product(universal_class,universal_class)) ),
    inference(instantiation,[status(thm)],[c_112]) ).

cnf(c_8466,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_8465,c_117,c_118]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SET114-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.12/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n002.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Aug 26 10:38:33 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.31/1.18  % SZS status Started for theBenchmark.p
% 3.31/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 3.31/1.18  
% 3.31/1.18  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.31/1.18  
% 3.31/1.18  ------  iProver source info
% 3.31/1.18  
% 3.31/1.18  git: date: 2023-05-31 18:12:56 +0000
% 3.31/1.18  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.31/1.18  git: non_committed_changes: false
% 3.31/1.18  git: last_make_outside_of_git: false
% 3.31/1.18  
% 3.31/1.18  ------ Parsing...successful
% 3.31/1.18  
% 3.31/1.18  
% 3.31/1.18  
% 3.31/1.18  ------ Preprocessing... sup_sim: 2  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 3.31/1.18  
% 3.31/1.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.31/1.18  
% 3.31/1.18  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.31/1.18  ------ Proving...
% 3.31/1.18  ------ Problem Properties 
% 3.31/1.18  
% 3.31/1.18  
% 3.31/1.18  clauses                                 151
% 3.31/1.18  conjectures                             2
% 3.31/1.18  EPR                                     17
% 3.31/1.18  Horn                                    120
% 3.31/1.18  unary                                   47
% 3.31/1.18  binary                                  64
% 3.31/1.18  lits                                    302
% 3.31/1.18  lits eq                                 99
% 3.31/1.18  fd_pure                                 0
% 3.31/1.18  fd_pseudo                               0
% 3.31/1.18  fd_cond                                 5
% 3.31/1.18  fd_pseudo_cond                          16
% 3.31/1.18  AC symbols                              0
% 3.31/1.18  
% 3.31/1.18  ------ Schedule dynamic 5 is on 
% 3.31/1.18  
% 3.31/1.18  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.31/1.18  
% 3.31/1.18  
% 3.31/1.18  ------ 
% 3.31/1.18  Current options:
% 3.31/1.18  ------ 
% 3.31/1.18  
% 3.31/1.18  
% 3.31/1.18  
% 3.31/1.18  
% 3.31/1.18  ------ Proving...
% 3.31/1.18  
% 3.31/1.18  
% 3.31/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 3.31/1.18  
% 3.31/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.31/1.18  
% 3.31/1.18  
%------------------------------------------------------------------------------