TSTP Solution File: SET078-6 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET078-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 02:59:45 EDT 2024

% Result   : Unsatisfiable 3.22s 1.16s
% Output   : CNFRefutation 3.22s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ member(singleton(y),unordered_pair(x,singleton(y))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_to_singletons_are_sets_1) ).

cnf(c_59,plain,
    ( ~ member(X0,universal_class)
    | member(X0,unordered_pair(X1,X0)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair3) ).

cnf(c_60,plain,
    member(unordered_pair(X0,X1),universal_class),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pairs_in_universal) ).

cnf(c_61,plain,
    unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).

cnf(c_2689,plain,
    singleton(y) = sP0_iProver_def,
    definition ).

cnf(c_2690,plain,
    unordered_pair(x,sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_2691,negated_conjecture,
    ~ member(sP0_iProver_def,sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_49,c_2690,c_2689]) ).

cnf(c_3665,plain,
    member(singleton(X0),universal_class),
    inference(superposition,[status(thm)],[c_61,c_60]) ).

cnf(c_3667,plain,
    member(sP0_iProver_def,universal_class),
    inference(superposition,[status(thm)],[c_2689,c_3665]) ).

cnf(c_3753,plain,
    ( ~ member(sP0_iProver_def,universal_class)
    | member(sP0_iProver_def,sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_2690,c_59]) ).

cnf(c_3754,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_3753,c_2691,c_3667]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET078-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n015.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu May  2 20:54:36 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  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
% 3.22/1.16  % SZS status Started for theBenchmark.p
% 3.22/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.22/1.16  
% 3.22/1.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.22/1.16  
% 3.22/1.16  ------  iProver source info
% 3.22/1.16  
% 3.22/1.16  git: date: 2024-05-02 19:28:25 +0000
% 3.22/1.16  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.22/1.16  git: non_committed_changes: false
% 3.22/1.16  
% 3.22/1.16  ------ Parsing...successful
% 3.22/1.16  
% 3.22/1.16  
% 3.22/1.16  
% 3.22/1.16  ------ 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 
% 3.22/1.16  
% 3.22/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.22/1.16  
% 3.22/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.22/1.16  ------ Proving...
% 3.22/1.16  ------ Problem Properties 
% 3.22/1.16  
% 3.22/1.16  
% 3.22/1.16  clauses                                 86
% 3.22/1.16  conjectures                             1
% 3.22/1.16  EPR                                     13
% 3.22/1.16  Horn                                    78
% 3.22/1.16  unary                                   34
% 3.22/1.16  binary                                  32
% 3.22/1.16  lits                                    164
% 3.22/1.16  lits eq                                 38
% 3.22/1.16  fd_pure                                 0
% 3.22/1.16  fd_pseudo                               0
% 3.22/1.16  fd_cond                                 3
% 3.22/1.16  fd_pseudo_cond                          3
% 3.22/1.16  AC symbols                              0
% 3.22/1.16  
% 3.22/1.16  ------ Schedule dynamic 5 is on 
% 3.22/1.16  
% 3.22/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.22/1.16  
% 3.22/1.16  
% 3.22/1.16  ------ 
% 3.22/1.16  Current options:
% 3.22/1.16  ------ 
% 3.22/1.16  
% 3.22/1.16  
% 3.22/1.16  
% 3.22/1.16  
% 3.22/1.16  ------ Proving...
% 3.22/1.16  
% 3.22/1.16  
% 3.22/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.22/1.16  
% 3.22/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.22/1.16  
% 3.22/1.16  
%------------------------------------------------------------------------------