TSTP Solution File: SET116-7 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET116-7 : TPTP v8.2.0. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n018.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 14:33:22 EDT 2024

% Result   : Unsatisfiable 3.83s 1.23s
% Output   : CNFRefutation 3.83s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_113,plain,
    ( ordered_pair(first(X0),second(X0)) = X0
    | first(X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_1st_and_2nd_4) ).

cnf(c_114,plain,
    ( ordered_pair(first(X0),second(X0)) = X0
    | second(X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_1st_and_2nd_5) ).

cnf(c_117,negated_conjecture,
    ordered_pair(first(x),second(x)) != x,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_unique_1st_and_2nd_in_pair_of_non_sets4_1) ).

cnf(c_118,negated_conjecture,
    second(x) != x,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_unique_2nd_in_pair_of_non_sets) ).

cnf(c_4518,plain,
    second(x) = sP0_iProver_def,
    definition ).

cnf(c_4519,plain,
    first(x) = sP1_iProver_def,
    definition ).

cnf(c_4520,plain,
    ordered_pair(sP1_iProver_def,sP0_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_4521,negated_conjecture,
    sP0_iProver_def != x,
    inference(demodulation,[status(thm)],[c_118,c_4518]) ).

cnf(c_4522,negated_conjecture,
    sP2_iProver_def != x,
    inference(demodulation,[status(thm)],[c_117,c_4519,c_4520]) ).

cnf(c_9750,plain,
    ( ordered_pair(first(x),sP0_iProver_def) = x
    | first(x) = x ),
    inference(superposition,[status(thm)],[c_4518,c_113]) ).

cnf(c_9782,plain,
    ( x = sP1_iProver_def
    | x = sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_9750,c_4519,c_4520]) ).

cnf(c_9906,plain,
    x = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_9782,c_4522]) ).

cnf(c_9908,plain,
    first(sP1_iProver_def) = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_4519,c_9906]) ).

cnf(c_9909,plain,
    second(sP1_iProver_def) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_4518,c_9906]) ).

cnf(c_9910,plain,
    sP1_iProver_def != sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_4522,c_9906]) ).

cnf(c_9911,plain,
    sP0_iProver_def != sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_4521,c_9906]) ).

cnf(c_10080,plain,
    ( ordered_pair(first(sP1_iProver_def),sP0_iProver_def) = sP1_iProver_def
    | second(sP1_iProver_def) = sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_9909,c_114]) ).

cnf(c_10113,plain,
    ( sP0_iProver_def = sP1_iProver_def
    | sP1_iProver_def = sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_10080,c_4520,c_9908,c_9909]) ).

cnf(c_10114,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_10113,c_9910,c_9911]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET116-7 : TPTP v8.2.0. Bugfixed v7.3.0.
% 0.07/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.36  % Computer : n018.cluster.edu
% 0.12/0.36  % Model    : x86_64 x86_64
% 0.12/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36  % Memory   : 8042.1875MB
% 0.12/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36  % CPULimit : 300
% 0.12/0.36  % WCLimit  : 300
% 0.12/0.36  % DateTime : Sun Jun 23 15:31:54 EDT 2024
% 0.12/0.36  % CPUTime  : 
% 0.23/0.51  Running first-order theorem proving
% 0.23/0.51  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
% 3.83/1.23  % SZS status Started for theBenchmark.p
% 3.83/1.23  % SZS status Unsatisfiable for theBenchmark.p
% 3.83/1.23  
% 3.83/1.23  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.83/1.23  
% 3.83/1.23  ------  iProver source info
% 3.83/1.23  
% 3.83/1.23  git: date: 2024-06-12 09:56:46 +0000
% 3.83/1.23  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 3.83/1.23  git: non_committed_changes: false
% 3.83/1.23  
% 3.83/1.23  ------ Parsing...successful
% 3.83/1.23  
% 3.83/1.23  
% 3.83/1.23  
% 3.83/1.23  ------ 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 
% 3.83/1.23  
% 3.83/1.23  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.83/1.23  
% 3.83/1.23  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.83/1.23  ------ Proving...
% 3.83/1.23  ------ Problem Properties 
% 3.83/1.23  
% 3.83/1.23  
% 3.83/1.23  clauses                                 154
% 3.83/1.23  conjectures                             2
% 3.83/1.23  EPR                                     19
% 3.83/1.23  Horn                                    123
% 3.83/1.23  unary                                   50
% 3.83/1.23  binary                                  64
% 3.83/1.23  lits                                    305
% 3.83/1.23  lits eq                                 103
% 3.83/1.23  fd_pure                                 0
% 3.83/1.23  fd_pseudo                               0
% 3.83/1.23  fd_cond                                 5
% 3.83/1.23  fd_pseudo_cond                          16
% 3.83/1.23  AC symbols                              0
% 3.83/1.23  
% 3.83/1.23  ------ Schedule dynamic 5 is on 
% 3.83/1.23  
% 3.83/1.23  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.83/1.23  
% 3.83/1.23  
% 3.83/1.23  ------ 
% 3.83/1.23  Current options:
% 3.83/1.23  ------ 
% 3.83/1.23  
% 3.83/1.23  
% 3.83/1.23  
% 3.83/1.23  
% 3.83/1.23  ------ Proving...
% 3.83/1.23  
% 3.83/1.23  
% 3.83/1.23  % SZS status Unsatisfiable for theBenchmark.p
% 3.83/1.23  
% 3.83/1.23  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.83/1.23  
% 3.83/1.23  
%------------------------------------------------------------------------------