TSTP Solution File: SET025-3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET025-3 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n001.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 14:32:30 EDT 2024

% Result   : Unsatisfiable 3.70s 1.13s
% Output   : CNFRefutation 3.70s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_58,negated_conjecture,
    ~ little_set(ordered_pair(a,b)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordered_pairs_are_small) ).

cnf(c_66,plain,
    little_set(non_ordered_pair(X0,X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',non_ordered_pair4) ).

cnf(c_68,plain,
    non_ordered_pair(singleton_set(X0),non_ordered_pair(X0,X1)) = ordered_pair(X0,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',ordered_pair) ).

cnf(c_9442,plain,
    ordered_pair(a,b) = sP0_iProver_def,
    definition ).

cnf(c_9443,negated_conjecture,
    ~ little_set(sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_58,c_9442]) ).

cnf(c_11110,plain,
    little_set(ordered_pair(X0,X1)),
    inference(superposition,[status(thm)],[c_68,c_66]) ).

cnf(c_11205,plain,
    little_set(sP0_iProver_def),
    inference(superposition,[status(thm)],[c_9442,c_11110]) ).

cnf(c_11207,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_11205,c_9443]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET025-3 : TPTP v8.2.0. Released v1.0.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n001.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 : Sun Jun 23 14:31:39 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  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
% 3.70/1.13  % SZS status Started for theBenchmark.p
% 3.70/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 3.70/1.13  
% 3.70/1.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.70/1.13  
% 3.70/1.13  ------  iProver source info
% 3.70/1.13  
% 3.70/1.13  git: date: 2024-06-12 09:56:46 +0000
% 3.70/1.13  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 3.70/1.13  git: non_committed_changes: false
% 3.70/1.13  
% 3.70/1.13  ------ Parsing...successful
% 3.70/1.13  
% 3.70/1.13  
% 3.70/1.13  
% 3.70/1.13  ------ 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 
% 3.70/1.13  
% 3.70/1.13  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.70/1.13  
% 3.70/1.13  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.70/1.13  ------ Proving...
% 3.70/1.13  ------ Problem Properties 
% 3.70/1.13  
% 3.70/1.13  
% 3.70/1.13  clauses                                 146
% 3.70/1.13  conjectures                             1
% 3.70/1.13  EPR                                     22
% 3.70/1.13  Horn                                    127
% 3.70/1.13  unary                                   13
% 3.70/1.13  binary                                  92
% 3.70/1.13  lits                                    356
% 3.70/1.13  lits eq                                 42
% 3.70/1.13  fd_pure                                 0
% 3.70/1.13  fd_pseudo                               0
% 3.70/1.13  fd_cond                                 4
% 3.70/1.13  fd_pseudo_cond                          10
% 3.70/1.13  AC symbols                              0
% 3.70/1.13  
% 3.70/1.13  ------ Schedule dynamic 5 is on 
% 3.70/1.13  
% 3.70/1.13  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.70/1.13  
% 3.70/1.13  
% 3.70/1.13  ------ 
% 3.70/1.13  Current options:
% 3.70/1.13  ------ 
% 3.70/1.13  
% 3.70/1.13  
% 3.70/1.13  
% 3.70/1.13  
% 3.70/1.13  ------ Proving...
% 3.70/1.13  
% 3.70/1.13  
% 3.70/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 3.70/1.13  
% 3.70/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.70/1.13  
% 3.70/1.13  
%------------------------------------------------------------------------------