TSTP Solution File: SET231-6 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET231-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n025.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 03:00:20 EDT 2024

% Result   : Unsatisfiable 0.45s 1.15s
% Output   : CNFRefutation 0.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   4 unt;   2 nHn;   5 RR)
%            Number of literals    :   10 (   4 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ subclass(cross_product(x,y),z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property6_1) ).

cnf(c_50,negated_conjecture,
    ordered_pair(first(not_subclass_element(cross_product(x,y),z)),second(not_subclass_element(cross_product(x,y),z))) != not_subclass_element(cross_product(x,y),z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property6_2) ).

cnf(c_73,plain,
    ( member(not_subclass_element(X0,X1),X0)
    | subclass(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).

cnf(c_88,plain,
    ( ~ member(X0,cross_product(X1,X2))
    | ordered_pair(first(X0),second(X0)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product4) ).

cnf(c_4168,plain,
    ( ordered_pair(first(not_subclass_element(cross_product(X0,X1),X2)),second(not_subclass_element(cross_product(X0,X1),X2))) = not_subclass_element(cross_product(X0,X1),X2)
    | subclass(cross_product(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_73,c_88]) ).

cnf(c_4197,plain,
    ordered_pair(first(not_subclass_element(cross_product(x,y),z)),second(not_subclass_element(cross_product(x,y),z))) = not_subclass_element(cross_product(x,y),z),
    inference(superposition,[status(thm)],[c_4168,c_49]) ).

cnf(c_4200,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_50,c_4197]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET231-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu May  2 20:37:58 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.17/0.45  Running first-order theorem proving
% 0.17/0.45  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
% 0.45/1.15  % SZS status Started for theBenchmark.p
% 0.45/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 0.45/1.15  
% 0.45/1.15  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.45/1.15  
% 0.45/1.15  ------  iProver source info
% 0.45/1.15  
% 0.45/1.15  git: date: 2024-05-02 19:28:25 +0000
% 0.45/1.15  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.45/1.15  git: non_committed_changes: false
% 0.45/1.15  
% 0.45/1.15  ------ Parsing...successful
% 0.45/1.15  
% 0.45/1.15  
% 0.45/1.15  
% 0.45/1.15  ------ Preprocessing... sup_sim: 2  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe_e 
% 0.45/1.15  
% 0.45/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.45/1.15  
% 0.45/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.45/1.15  ------ Proving...
% 0.45/1.15  ------ Problem Properties 
% 0.45/1.15  
% 0.45/1.15  
% 0.45/1.15  clauses                                 102
% 0.45/1.15  conjectures                             2
% 0.45/1.15  EPR                                     12
% 0.45/1.15  Horn                                    94
% 0.45/1.15  unary                                   41
% 0.45/1.15  binary                                  40
% 0.45/1.15  lits                                    190
% 0.45/1.15  lits eq                                 45
% 0.45/1.15  fd_pure                                 0
% 0.45/1.15  fd_pseudo                               0
% 0.45/1.15  fd_cond                                 3
% 0.45/1.15  fd_pseudo_cond                          7
% 0.45/1.15  AC symbols                              0
% 0.45/1.15  
% 0.45/1.15  ------ Input Options Time Limit: Unbounded
% 0.45/1.15  
% 0.45/1.15  
% 0.45/1.15  ------ 
% 0.45/1.15  Current options:
% 0.45/1.15  ------ 
% 0.45/1.15  
% 0.45/1.15  
% 0.45/1.15  
% 0.45/1.15  
% 0.45/1.15  ------ Proving...
% 0.45/1.15  
% 0.45/1.15  
% 0.45/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 0.45/1.15  
% 0.45/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.45/1.15  
% 0.45/1.15  
%------------------------------------------------------------------------------