TSTP Solution File: SET120-7 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET120-7 : TPTP v8.2.0. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.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 14:33:24 EDT 2024

% Result   : Unsatisfiable 7.83s 1.65s
% Output   : CNFRefutation 7.83s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_51,plain,
    ( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
    | member(X0,universal_class) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_1_to_cartesian_product) ).

cnf(c_118,plain,
    ( second(X0) = X0
    | member(ordered_pair(first(X0),second(X0)),cross_product(universal_class,universal_class)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_1st_and_2nd_in_pair_of_non_sets2) ).

cnf(c_120,plain,
    ( ordered_pair(first(X0),second(X0)) = X0
    | second(X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_1st_and_2nd_in_pair_of_non_sets4) ).

cnf(c_123,negated_conjecture,
    ~ member(x,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_OP_determines_components1_1) ).

cnf(c_124,negated_conjecture,
    second(ordered_pair(x,y)) != ordered_pair(x,y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_OP_determines_components1_2) ).

cnf(c_139,plain,
    ( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
    | member(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product2) ).

cnf(c_4578,plain,
    ordered_pair(x,y) = sP0_iProver_def,
    definition ).

cnf(c_4579,plain,
    second(sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_4580,negated_conjecture,
    sP1_iProver_def != sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_124,c_4578,c_4579]) ).

cnf(c_7727,plain,
    ( ~ member(sP0_iProver_def,cross_product(X0,X1))
    | member(y,X1) ),
    inference(superposition,[status(thm)],[c_4578,c_139]) ).

cnf(c_7880,plain,
    ( ~ member(sP0_iProver_def,cross_product(X0,X1))
    | member(x,universal_class) ),
    inference(superposition,[status(thm)],[c_4578,c_51]) ).

cnf(c_8451,plain,
    ( second(X0) = X0
    | member(X0,cross_product(universal_class,universal_class)) ),
    inference(superposition,[status(thm)],[c_120,c_118]) ).

cnf(c_11631,plain,
    ~ member(sP0_iProver_def,cross_product(X0,X1)),
    inference(global_subsumption_just,[status(thm)],[c_7727,c_123,c_7880]) ).

cnf(c_21370,plain,
    second(sP0_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_8451,c_11631]) ).

cnf(c_21376,plain,
    sP0_iProver_def = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_4579,c_21370]) ).

cnf(c_21378,plain,
    sP0_iProver_def != sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_4580,c_21376]) ).

cnf(c_21379,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_21378]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET120-7 : TPTP v8.2.0. Bugfixed v7.3.0.
% 0.06/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.33  % Computer : n021.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Sun Jun 23 17:43:54 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  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
% 7.83/1.65  % SZS status Started for theBenchmark.p
% 7.83/1.65  % SZS status Unsatisfiable for theBenchmark.p
% 7.83/1.65  
% 7.83/1.65  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.83/1.65  
% 7.83/1.65  ------  iProver source info
% 7.83/1.65  
% 7.83/1.65  git: date: 2024-06-12 09:56:46 +0000
% 7.83/1.65  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 7.83/1.65  git: non_committed_changes: false
% 7.83/1.65  
% 7.83/1.65  ------ Parsing...successful
% 7.83/1.65  
% 7.83/1.65  
% 7.83/1.65  
% 7.83/1.65  ------ 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 
% 7.83/1.65  
% 7.83/1.65  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.83/1.65  
% 7.83/1.65  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.83/1.65  ------ Proving...
% 7.83/1.65  ------ Problem Properties 
% 7.83/1.65  
% 7.83/1.65  
% 7.83/1.65  clauses                                 155
% 7.83/1.65  conjectures                             2
% 7.83/1.65  EPR                                     19
% 7.83/1.65  Horn                                    124
% 7.83/1.65  unary                                   49
% 7.83/1.65  binary                                  66
% 7.83/1.65  lits                                    308
% 7.83/1.65  lits eq                                 102
% 7.83/1.65  fd_pure                                 0
% 7.83/1.65  fd_pseudo                               0
% 7.83/1.65  fd_cond                                 5
% 7.83/1.65  fd_pseudo_cond                          16
% 7.83/1.65  AC symbols                              0
% 7.83/1.65  
% 7.83/1.65  ------ Input Options Time Limit: Unbounded
% 7.83/1.65  
% 7.83/1.65  
% 7.83/1.65  ------ 
% 7.83/1.65  Current options:
% 7.83/1.65  ------ 
% 7.83/1.65  
% 7.83/1.65  
% 7.83/1.65  
% 7.83/1.65  
% 7.83/1.65  ------ Proving...
% 7.83/1.65  
% 7.83/1.65  
% 7.83/1.65  ------ Proving...
% 7.83/1.65  
% 7.83/1.65  
% 7.83/1.65  ------ Proving...
% 7.83/1.65  
% 7.83/1.65  
% 7.83/1.65  ------ Proving...
% 7.83/1.65  
% 7.83/1.65  
% 7.83/1.65  ------ Proving...
% 7.83/1.65  
% 7.83/1.65  
% 7.83/1.65  % SZS status Unsatisfiable for theBenchmark.p
% 7.83/1.65  
% 7.83/1.65  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.83/1.65  
% 7.83/1.65  
%------------------------------------------------------------------------------