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

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET084-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.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 : Mon Jun 24 14:33:08 EDT 2024

% Result   : Unsatisfiable 10.22s 2.06s
% Output   : CNFRefutation 10.22s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    singleton(x) = singleton(y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_1) ).

cnf(c_50,negated_conjecture,
    member(y,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_2) ).

cnf(c_51,negated_conjecture,
    x != y,
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).

cnf(c_60,plain,
    ( ~ member(X0,universal_class)
    | member(X0,unordered_pair(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).

cnf(c_63,plain,
    unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).

cnf(c_2148,plain,
    singleton(x) = sP0_iProver_def,
    definition ).

cnf(c_2149,plain,
    singleton(y) = sP1_iProver_def,
    definition ).

cnf(c_2152,negated_conjecture,
    sP0_iProver_def = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_49,c_2149,c_2148]) ).

cnf(c_3508,plain,
    ( ~ member(X0,universal_class)
    | member(X0,singleton(X0)) ),
    inference(superposition,[status(thm)],[c_63,c_60]) ).

cnf(c_3511,plain,
    ( ~ member(y,universal_class)
    | member(y,sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_2149,c_3508]) ).

cnf(c_10258,plain,
    ( ~ member(X0,universal_class)
    | member(X0,singleton(X0)) ),
    inference(superposition,[status(thm)],[c_63,c_60]) ).

cnf(c_10260,plain,
    ( ~ member(y,universal_class)
    | member(y,sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_2149,c_10258]) ).

cnf(c_10263,plain,
    member(y,sP1_iProver_def),
    inference(global_subsumption_just,[status(thm)],[c_10260,c_50,c_3511]) ).

cnf(c_10265,plain,
    member(y,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_2152,c_10263]) ).

cnf(c_10606,plain,
    ( ~ member(X0,singleton(X1))
    | X0 = X1 ),
    inference(superposition,[status(thm)],[c_63,c_59]) ).

cnf(c_10648,plain,
    ( ~ member(X0,sP0_iProver_def)
    | X0 = x ),
    inference(superposition,[status(thm)],[c_2148,c_10606]) ).

cnf(c_13386,plain,
    x = y,
    inference(superposition,[status(thm)],[c_10265,c_10648]) ).

cnf(c_13392,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_13386,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SET084-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.06/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n032.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Sun Jun 23 15:15:24 EDT 2024
% 0.16/0.31  % CPUTime  : 
% 0.16/0.42  Running first-order theorem proving
% 0.16/0.42  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
% 10.22/2.06  % SZS status Started for theBenchmark.p
% 10.22/2.06  % SZS status Unsatisfiable for theBenchmark.p
% 10.22/2.06  
% 10.22/2.06  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 10.22/2.06  
% 10.22/2.06  ------  iProver source info
% 10.22/2.06  
% 10.22/2.06  git: date: 2024-06-12 09:56:46 +0000
% 10.22/2.06  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 10.22/2.06  git: non_committed_changes: false
% 10.22/2.06  
% 10.22/2.06  ------ Parsing...successful
% 10.22/2.06  
% 10.22/2.06  
% 10.22/2.06  
% 10.22/2.06  ------ 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: 2 0s  sf_e  pe_s  pe_e 
% 10.22/2.06  
% 10.22/2.06  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 10.22/2.06  
% 10.22/2.06  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 10.22/2.06  ------ Proving...
% 10.22/2.06  ------ Problem Properties 
% 10.22/2.06  
% 10.22/2.06  
% 10.22/2.06  clauses                                 88
% 10.22/2.06  conjectures                             3
% 10.22/2.06  EPR                                     15
% 10.22/2.06  Horn                                    80
% 10.22/2.06  unary                                   36
% 10.22/2.06  binary                                  32
% 10.22/2.06  lits                                    166
% 10.22/2.06  lits eq                                 40
% 10.22/2.06  fd_pure                                 0
% 10.22/2.06  fd_pseudo                               0
% 10.22/2.06  fd_cond                                 3
% 10.22/2.06  fd_pseudo_cond                          3
% 10.22/2.06  AC symbols                              0
% 10.22/2.06  
% 10.22/2.06  ------ Input Options Time Limit: Unbounded
% 10.22/2.06  
% 10.22/2.06  
% 10.22/2.06  ------ 
% 10.22/2.06  Current options:
% 10.22/2.06  ------ 
% 10.22/2.06  
% 10.22/2.06  
% 10.22/2.06  
% 10.22/2.06  
% 10.22/2.06  ------ Proving...
% 10.22/2.06  
% 10.22/2.06  
% 10.22/2.06  % SZS status Unsatisfiable for theBenchmark.p
% 10.22/2.06  
% 10.22/2.06  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.22/2.06  
% 10.22/2.06  
%------------------------------------------------------------------------------