TSTP Solution File: SET102-7 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET102-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n002.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 02:59:54 EDT 2024

% Result   : Unsatisfiable 0.47s 1.15s
% Output   : CNFRefutation 0.47s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_103,negated_conjecture,
    ~ member(unordered_pair(x,singleton(y)),ordered_pair(x,y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unordered_pair_member_of_ordered_pair_1) ).

cnf(c_113,plain,
    ( ~ member(X0,universal_class)
    | member(X0,unordered_pair(X1,X0)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair3) ).

cnf(c_114,plain,
    member(unordered_pair(X0,X1),universal_class),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pairs_in_universal) ).

cnf(c_116,plain,
    unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',ordered_pair) ).

cnf(c_4163,plain,
    singleton(y) = sP0_iProver_def,
    definition ).

cnf(c_4164,plain,
    unordered_pair(x,sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_4165,plain,
    ordered_pair(x,y) = sP2_iProver_def,
    definition ).

cnf(c_4166,negated_conjecture,
    ~ member(sP1_iProver_def,sP2_iProver_def),
    inference(demodulation,[status(thm)],[c_103,c_4165,c_4163,c_4164]) ).

cnf(c_8702,plain,
    ( ~ member(unordered_pair(X0,singleton(X1)),universal_class)
    | member(unordered_pair(X0,singleton(X1)),ordered_pair(X0,X1)) ),
    inference(superposition,[status(thm)],[c_116,c_113]) ).

cnf(c_8706,plain,
    member(unordered_pair(X0,singleton(X1)),ordered_pair(X0,X1)),
    inference(forward_subsumption_resolution,[status(thm)],[c_8702,c_114]) ).

cnf(c_8862,plain,
    member(unordered_pair(x,singleton(y)),sP2_iProver_def),
    inference(superposition,[status(thm)],[c_4165,c_8706]) ).

cnf(c_8864,plain,
    member(sP1_iProver_def,sP2_iProver_def),
    inference(light_normalisation,[status(thm)],[c_8862,c_4163,c_4164]) ).

cnf(c_8865,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_8864,c_4166]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SET102-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.10/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n002.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 20:45:12 EDT 2024
% 0.12/0.33  % 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
% 0.47/1.15  % SZS status Started for theBenchmark.p
% 0.47/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.15  
% 0.47/1.15  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.47/1.15  
% 0.47/1.15  ------  iProver source info
% 0.47/1.15  
% 0.47/1.15  git: date: 2024-05-02 19:28:25 +0000
% 0.47/1.15  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.47/1.15  git: non_committed_changes: false
% 0.47/1.15  
% 0.47/1.15  ------ Parsing...successful
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  ------ 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 
% 0.47/1.15  
% 0.47/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.47/1.15  
% 0.47/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.47/1.15  ------ Proving...
% 0.47/1.15  ------ Problem Properties 
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  clauses                                 139
% 0.47/1.15  conjectures                             1
% 0.47/1.15  EPR                                     18
% 0.47/1.15  Horn                                    115
% 0.47/1.15  unary                                   47
% 0.47/1.15  binary                                  56
% 0.47/1.15  lits                                    274
% 0.47/1.15  lits eq                                 86
% 0.47/1.15  fd_pure                                 0
% 0.47/1.15  fd_pseudo                               0
% 0.47/1.15  fd_cond                                 5
% 0.47/1.15  fd_pseudo_cond                          14
% 0.47/1.15  AC symbols                              0
% 0.47/1.15  
% 0.47/1.15  ------ Schedule dynamic 5 is on 
% 0.47/1.15  
% 0.47/1.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  ------ 
% 0.47/1.15  Current options:
% 0.47/1.15  ------ 
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  ------ Proving...
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.15  
% 0.47/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.15  
% 0.47/1.15  
%------------------------------------------------------------------------------