TSTP Solution File: SET103-6 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET103-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n009.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 02:59:55 EDT 2024

% Result   : Unsatisfiable 7.94s 1.63s
% Output   : CNFRefutation 7.94s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    unordered_pair(singleton(x),unordered_pair(x,null_class)) != ordered_pair(x,y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_1_of_ordered_pair_1) ).

cnf(c_50,negated_conjecture,
    ~ member(y,universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_1_of_ordered_pair_2) ).

cnf(c_58,plain,
    ( ~ member(X0,unordered_pair(X1,X2))
    | X0 = X1
    | X0 = X2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).

cnf(c_61,plain,
    member(unordered_pair(X0,X1),universal_class),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pairs_in_universal) ).

cnf(c_62,plain,
    unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).

cnf(c_63,plain,
    unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',ordered_pair) ).

cnf(c_104,plain,
    ( ~ member(X0,universal_class)
    | member(sum_class(X0),universal_class) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',sum_class2) ).

cnf(c_115,plain,
    ( ~ member(X0,universal_class)
    | ~ function(X1)
    | member(image(X1,X0),universal_class) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',replacement) ).

cnf(c_118,plain,
    sum_class(image(X0,singleton(X1))) = apply(X0,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',apply) ).

cnf(c_119,plain,
    function(choice),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',choice1) ).

cnf(c_120,plain,
    ( ~ member(X0,universal_class)
    | X0 = null_class
    | member(apply(choice,X0),X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',choice2) ).

cnf(c_2695,plain,
    singleton(x) = sP0_iProver_def,
    definition ).

cnf(c_2696,plain,
    unordered_pair(x,null_class) = sP1_iProver_def,
    definition ).

cnf(c_2697,plain,
    unordered_pair(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_2698,plain,
    ordered_pair(x,y) = sP3_iProver_def,
    definition ).

cnf(c_2699,negated_conjecture,
    ~ member(y,universal_class),
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_2700,negated_conjecture,
    sP2_iProver_def != sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_49,c_2698,c_2696,c_2695,c_2697]) ).

cnf(c_3683,plain,
    member(singleton(X0),universal_class),
    inference(superposition,[status(thm)],[c_62,c_61]) ).

cnf(c_3926,plain,
    ( ~ member(image(X0,singleton(X1)),universal_class)
    | member(apply(X0,X1),universal_class) ),
    inference(superposition,[status(thm)],[c_118,c_104]) ).

cnf(c_4527,plain,
    unordered_pair(sP0_iProver_def,unordered_pair(x,singleton(X0))) = ordered_pair(x,X0),
    inference(superposition,[status(thm)],[c_2695,c_63]) ).

cnf(c_5004,plain,
    ( ~ member(X0,singleton(X1))
    | X0 = X1 ),
    inference(superposition,[status(thm)],[c_62,c_58]) ).

cnf(c_5122,plain,
    ( ~ member(singleton(X0),universal_class)
    | apply(choice,singleton(X0)) = X0
    | singleton(X0) = null_class ),
    inference(superposition,[status(thm)],[c_120,c_5004]) ).

cnf(c_5140,plain,
    ( apply(choice,singleton(X0)) = X0
    | singleton(X0) = null_class ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5122,c_3683]) ).

cnf(c_13218,plain,
    ( ~ member(singleton(X0),universal_class)
    | ~ function(X1)
    | member(apply(X1,X0),universal_class) ),
    inference(superposition,[status(thm)],[c_115,c_3926]) ).

cnf(c_13224,plain,
    ( ~ function(X0)
    | member(apply(X0,X1),universal_class) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13218,c_3683]) ).

cnf(c_13255,plain,
    ( ~ function(choice)
    | singleton(X0) = null_class
    | member(X0,universal_class) ),
    inference(superposition,[status(thm)],[c_5140,c_13224]) ).

cnf(c_13262,plain,
    ( singleton(X0) = null_class
    | member(X0,universal_class) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13255,c_119]) ).

cnf(c_13684,plain,
    singleton(y) = null_class,
    inference(superposition,[status(thm)],[c_13262,c_2699]) ).

cnf(c_13743,plain,
    unordered_pair(sP0_iProver_def,unordered_pair(x,null_class)) = ordered_pair(x,y),
    inference(superposition,[status(thm)],[c_13684,c_4527]) ).

cnf(c_13782,plain,
    sP2_iProver_def = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_13743,c_2696,c_2697,c_2698]) ).

cnf(c_13783,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_13782,c_2700]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : SET103-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.09/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.32  % Computer : n009.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Thu May  2 20:16:25 EDT 2024
% 0.12/0.32  % CPUTime  : 
% 0.18/0.43  Running first-order theorem proving
% 0.18/0.43  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
% 7.94/1.63  % SZS status Started for theBenchmark.p
% 7.94/1.63  % SZS status Unsatisfiable for theBenchmark.p
% 7.94/1.63  
% 7.94/1.63  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.94/1.63  
% 7.94/1.63  ------  iProver source info
% 7.94/1.63  
% 7.94/1.63  git: date: 2024-05-02 19:28:25 +0000
% 7.94/1.63  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.94/1.63  git: non_committed_changes: false
% 7.94/1.63  
% 7.94/1.63  ------ Parsing...successful
% 7.94/1.63  
% 7.94/1.63  
% 7.94/1.63  
% 7.94/1.63  ------ 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 
% 7.94/1.63  
% 7.94/1.63  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.94/1.63  
% 7.94/1.63  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.94/1.63  ------ Proving...
% 7.94/1.63  ------ Problem Properties 
% 7.94/1.63  
% 7.94/1.63  
% 7.94/1.63  clauses                                 89
% 7.94/1.63  conjectures                             2
% 7.94/1.63  EPR                                     14
% 7.94/1.63  Horn                                    81
% 7.94/1.63  unary                                   37
% 7.94/1.63  binary                                  32
% 7.94/1.63  lits                                    167
% 7.94/1.63  lits eq                                 41
% 7.94/1.63  fd_pure                                 0
% 7.94/1.63  fd_pseudo                               0
% 7.94/1.63  fd_cond                                 3
% 7.94/1.63  fd_pseudo_cond                          3
% 7.94/1.63  AC symbols                              0
% 7.94/1.63  
% 7.94/1.63  ------ Schedule dynamic 5 is on 
% 7.94/1.63  
% 7.94/1.63  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.94/1.63  
% 7.94/1.63  
% 7.94/1.63  ------ 
% 7.94/1.63  Current options:
% 7.94/1.63  ------ 
% 7.94/1.63  
% 7.94/1.63  
% 7.94/1.63  
% 7.94/1.63  
% 7.94/1.63  ------ Proving...
% 7.94/1.63  
% 7.94/1.63  
% 7.94/1.63  % SZS status Unsatisfiable for theBenchmark.p
% 7.94/1.63  
% 7.94/1.63  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.94/1.63  
% 7.94/1.63  
%------------------------------------------------------------------------------