TSTP Solution File: SET024-4 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET024-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n020.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 02:59:24 EDT 2024

% Result   : Unsatisfiable 4.20s 1.20s
% Output   : CNFRefutation 4.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    little_set(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_little_set) ).

cnf(c_50,negated_conjecture,
    ~ member(a,singleton_set(a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_membership_of_singleton_set) ).

cnf(c_57,plain,
    ( X0 != X1
    | ~ little_set(X0)
    | member(X0,non_ordered_pair(X2,X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',non_ordered_pair3) ).

cnf(c_59,plain,
    non_ordered_pair(X0,X0) = singleton_set(X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',singleton_set) ).

cnf(c_193,plain,
    ( ~ little_set(X0)
    | member(X0,non_ordered_pair(X1,X0)) ),
    inference(unflattening,[status(thm)],[c_57]) ).

cnf(c_9336,plain,
    singleton_set(a) = sP0_iProver_def,
    definition ).

cnf(c_9337,negated_conjecture,
    ~ member(a,sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_50,c_9336]) ).

cnf(c_11233,plain,
    ( ~ little_set(X0)
    | member(X0,singleton_set(X0)) ),
    inference(superposition,[status(thm)],[c_59,c_193]) ).

cnf(c_11271,plain,
    ( ~ little_set(a)
    | member(a,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_9336,c_11233]) ).

cnf(c_11273,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_11271,c_9337,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET024-4 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n020.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 20:14:01 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  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
% 4.20/1.20  % SZS status Started for theBenchmark.p
% 4.20/1.20  % SZS status Unsatisfiable for theBenchmark.p
% 4.20/1.20  
% 4.20/1.20  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.20/1.20  
% 4.20/1.20  ------  iProver source info
% 4.20/1.20  
% 4.20/1.20  git: date: 2024-05-02 19:28:25 +0000
% 4.20/1.20  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.20/1.20  git: non_committed_changes: false
% 4.20/1.20  
% 4.20/1.20  ------ Parsing...successful
% 4.20/1.20  
% 4.20/1.20  
% 4.20/1.20  
% 4.20/1.20  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 4.20/1.20  
% 4.20/1.20  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.20/1.20  
% 4.20/1.20  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.20/1.20  ------ Proving...
% 4.20/1.20  ------ Problem Properties 
% 4.20/1.20  
% 4.20/1.20  
% 4.20/1.20  clauses                                 138
% 4.20/1.20  conjectures                             1
% 4.20/1.20  EPR                                     22
% 4.20/1.20  Horn                                    119
% 4.20/1.20  unary                                   14
% 4.20/1.20  binary                                  89
% 4.20/1.20  lits                                    331
% 4.20/1.20  lits eq                                 33
% 4.20/1.20  fd_pure                                 0
% 4.20/1.20  fd_pseudo                               0
% 4.20/1.20  fd_cond                                 4
% 4.20/1.20  fd_pseudo_cond                          6
% 4.20/1.20  AC symbols                              0
% 4.20/1.20  
% 4.20/1.20  ------ Schedule dynamic 5 is on 
% 4.20/1.20  
% 4.20/1.20  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.20/1.20  
% 4.20/1.20  
% 4.20/1.20  ------ 
% 4.20/1.20  Current options:
% 4.20/1.20  ------ 
% 4.20/1.20  
% 4.20/1.20  
% 4.20/1.20  
% 4.20/1.20  
% 4.20/1.20  ------ Proving...
% 4.20/1.20  
% 4.20/1.20  
% 4.20/1.20  % SZS status Unsatisfiable for theBenchmark.p
% 4.20/1.20  
% 4.20/1.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.20/1.20  
% 4.20/1.20  
%------------------------------------------------------------------------------