TSTP Solution File: SET084-6 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET084-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n012.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 02:59:47 EDT 2024

% Result   : Unsatisfiable 8.21s 1.64s
% Output   : CNFRefutation 8.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   12 (   7 unt;   1 nHn;  10 RR)
%            Number of literals    :   18 (   7 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    9 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    singleton(x) = singleton(y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_1) ).

cnf(c_50,negated_conjecture,
    member(y,universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_2) ).

cnf(c_51,negated_conjecture,
    x != y,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_3) ).

cnf(c_59,plain,
    ( ~ member(X0,unordered_pair(X1,X2))
    | X0 = X1
    | X0 = X2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).

cnf(c_61,plain,
    ( ~ member(X0,universal_class)
    | member(X0,unordered_pair(X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair3) ).

cnf(c_63,plain,
    unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).

cnf(c_3825,plain,
    ( ~ member(X0,universal_class)
    | member(X0,singleton(X0)) ),
    inference(superposition,[status(thm)],[c_63,c_61]) ).

cnf(c_4147,plain,
    ( ~ member(X0,singleton(X1))
    | X0 = X1 ),
    inference(superposition,[status(thm)],[c_63,c_59]) ).

cnf(c_4773,plain,
    ( ~ member(y,universal_class)
    | member(y,singleton(x)) ),
    inference(superposition,[status(thm)],[c_49,c_3825]) ).

cnf(c_13081,plain,
    member(y,singleton(x)),
    inference(global_subsumption_just,[status(thm)],[c_4773,c_50,c_4773]) ).

cnf(c_13085,plain,
    x = y,
    inference(superposition,[status(thm)],[c_13081,c_4147]) ).

cnf(c_13086,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_51,c_13085]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SET084-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n012.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 20:23:10 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  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
% 8.21/1.64  % SZS status Started for theBenchmark.p
% 8.21/1.64  % SZS status Unsatisfiable for theBenchmark.p
% 8.21/1.64  
% 8.21/1.64  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.21/1.64  
% 8.21/1.64  ------  iProver source info
% 8.21/1.64  
% 8.21/1.64  git: date: 2024-05-02 19:28:25 +0000
% 8.21/1.64  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.21/1.64  git: non_committed_changes: false
% 8.21/1.64  
% 8.21/1.64  ------ Parsing...successful
% 8.21/1.64  
% 8.21/1.64  
% 8.21/1.64  
% 8.21/1.64  ------ 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 
% 8.21/1.64  
% 8.21/1.64  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 8.21/1.64  
% 8.21/1.64  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 8.21/1.64  ------ Proving...
% 8.21/1.64  ------ Problem Properties 
% 8.21/1.64  
% 8.21/1.64  
% 8.21/1.64  clauses                                 86
% 8.21/1.64  conjectures                             3
% 8.21/1.64  EPR                                     14
% 8.21/1.64  Horn                                    78
% 8.21/1.64  unary                                   34
% 8.21/1.64  binary                                  32
% 8.21/1.64  lits                                    164
% 8.21/1.64  lits eq                                 38
% 8.21/1.64  fd_pure                                 0
% 8.21/1.64  fd_pseudo                               0
% 8.21/1.64  fd_cond                                 3
% 8.21/1.64  fd_pseudo_cond                          3
% 8.21/1.64  AC symbols                              0
% 8.21/1.64  
% 8.21/1.64  ------ Input Options Time Limit: Unbounded
% 8.21/1.64  
% 8.21/1.64  
% 8.21/1.64  ------ 
% 8.21/1.64  Current options:
% 8.21/1.64  ------ 
% 8.21/1.64  
% 8.21/1.64  
% 8.21/1.64  
% 8.21/1.64  
% 8.21/1.64  ------ Proving...
% 8.21/1.64  
% 8.21/1.64  
% 8.21/1.64  ------ Proving...
% 8.21/1.64  
% 8.21/1.64  
% 8.21/1.64  ------ Proving...
% 8.21/1.64  
% 8.21/1.64  
% 8.21/1.64  % SZS status Unsatisfiable for theBenchmark.p
% 8.21/1.64  
% 8.21/1.64  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.21/1.64  
% 8.21/1.64  
%------------------------------------------------------------------------------