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

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET116-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n029.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 02:59:58 EDT 2024

% Result   : Unsatisfiable 0.50s 1.17s
% Output   : CNFRefutation 0.50s
% 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_9756,plain,
    ( ordered_pair(first(x),sP0_iProver_def) = x
    | first(x) = x ),
    inference(superposition,[status(thm)],[c_4518,c_113]) ).

cnf(c_9788,plain,
    ( x = sP1_iProver_def
    | x = sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_9756,c_4519,c_4520]) ).

cnf(c_9912,plain,
    x = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_9788,c_4522]) ).

cnf(c_9914,plain,
    first(sP1_iProver_def) = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_4519,c_9912]) ).

cnf(c_9915,plain,
    second(sP1_iProver_def) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_4518,c_9912]) ).

cnf(c_9916,plain,
    sP1_iProver_def != sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_4522,c_9912]) ).

cnf(c_9917,plain,
    sP0_iProver_def != sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_4521,c_9912]) ).

cnf(c_10086,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_9915,c_114]) ).

cnf(c_10119,plain,
    ( sP0_iProver_def = sP1_iProver_def
    | sP1_iProver_def = sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_10086,c_4520,c_9914,c_9915]) ).

cnf(c_10120,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_10119,c_9916,c_9917]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET116-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May  2 20:50:37 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  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
% 0.50/1.17  % SZS status Started for theBenchmark.p
% 0.50/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 0.50/1.17  
% 0.50/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.50/1.17  
% 0.50/1.17  ------  iProver source info
% 0.50/1.17  
% 0.50/1.17  git: date: 2024-05-02 19:28:25 +0000
% 0.50/1.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.50/1.17  git: non_committed_changes: false
% 0.50/1.17  
% 0.50/1.17  ------ Parsing...successful
% 0.50/1.17  
% 0.50/1.17  
% 0.50/1.17  
% 0.50/1.17  ------ 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 
% 0.50/1.17  
% 0.50/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.50/1.17  
% 0.50/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.50/1.17  ------ Proving...
% 0.50/1.17  ------ Problem Properties 
% 0.50/1.17  
% 0.50/1.17  
% 0.50/1.17  clauses                                 154
% 0.50/1.17  conjectures                             2
% 0.50/1.17  EPR                                     19
% 0.50/1.17  Horn                                    123
% 0.50/1.17  unary                                   50
% 0.50/1.17  binary                                  64
% 0.50/1.17  lits                                    305
% 0.50/1.17  lits eq                                 103
% 0.50/1.17  fd_pure                                 0
% 0.50/1.17  fd_pseudo                               0
% 0.50/1.17  fd_cond                                 5
% 0.50/1.17  fd_pseudo_cond                          16
% 0.50/1.17  AC symbols                              0
% 0.50/1.17  
% 0.50/1.17  ------ Schedule dynamic 5 is on 
% 0.50/1.17  
% 0.50/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.50/1.17  
% 0.50/1.17  
% 0.50/1.17  ------ 
% 0.50/1.17  Current options:
% 0.50/1.17  ------ 
% 0.50/1.17  
% 0.50/1.17  
% 0.50/1.17  
% 0.50/1.17  
% 0.50/1.17  ------ Proving...
% 0.50/1.17  
% 0.50/1.17  
% 0.50/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 0.50/1.17  
% 0.50/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.50/1.17  
% 0.50/1.17  
%------------------------------------------------------------------------------