TSTP Solution File: SET865-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET865-1 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n024.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 14:36:24 EDT 2024

% Result   : Unsatisfiable 8.03s 1.70s
% Output   : CNFRefutation 8.03s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    c_in(c_Zorn_OHausdorff__1(X0,X1),c_Zorn_Omaxchain(X0,X1),tc_set(tc_set(X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OHausdorff_0) ).

cnf(c_50,plain,
    ( ~ c_in(X0,c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(X2)))
    | ~ c_lessequals(c_Union(X0,X2),X3,tc_set(X2))
    | ~ c_in(X3,X1,tc_set(X2))
    | c_Union(X0,X2) = X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__Zorn_0) ).

cnf(c_51,plain,
    c_lessequals(c_Zorn_Omaxchain(X0,X1),c_Zorn_Ochain(X0,X1),tc_set(tc_set(tc_set(X1)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__subset__chain_0) ).

cnf(c_52,negated_conjecture,
    ( ~ c_in(X0,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
    | c_in(c_Union(X0,t_a),v_S,tc_set(t_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_53,negated_conjecture,
    ( ~ c_in(X0,v_S,tc_set(t_a))
    | c_in(v_x(X0),v_S,tc_set(t_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_54,negated_conjecture,
    ( ~ c_in(X0,v_S,tc_set(t_a))
    | c_lessequals(X0,v_x(X0),tc_set(t_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_55,negated_conjecture,
    ( v_x(X0) != X0
    | ~ c_in(X0,v_S,tc_set(t_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_163,plain,
    ( ~ c_lessequals(X0,X1,tc_set(X2))
    | ~ c_in(X3,X0,X2)
    | c_in(X3,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetD_0) ).

cnf(c_17882,plain,
    tc_set(t_a) = sP0_iProver_def,
    definition ).

cnf(c_17883,plain,
    c_Zorn_Ochain(v_S,t_a) = sP1_iProver_def,
    definition ).

cnf(c_17884,plain,
    tc_set(sP0_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_17885,negated_conjecture,
    ( v_x(X0) != X0
    | ~ c_in(X0,v_S,sP0_iProver_def) ),
    inference(demodulation,[status(thm)],[c_55,c_17882]) ).

cnf(c_17886,negated_conjecture,
    ( ~ c_in(X0,v_S,sP0_iProver_def)
    | c_lessequals(X0,v_x(X0),sP0_iProver_def) ),
    inference(demodulation,[status(thm)],[c_54]) ).

cnf(c_17887,negated_conjecture,
    ( ~ c_in(X0,v_S,sP0_iProver_def)
    | c_in(v_x(X0),v_S,sP0_iProver_def) ),
    inference(demodulation,[status(thm)],[c_53]) ).

cnf(c_17888,negated_conjecture,
    ( ~ c_in(X0,sP1_iProver_def,sP2_iProver_def)
    | c_in(c_Union(X0,t_a),v_S,sP0_iProver_def) ),
    inference(demodulation,[status(thm)],[c_52,c_17884,c_17883]) ).

cnf(c_24135,plain,
    c_in(c_Zorn_OHausdorff__1(X0,t_a),c_Zorn_Omaxchain(X0,t_a),tc_set(sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_17882,c_49]) ).

cnf(c_24147,plain,
    c_lessequals(c_Zorn_Omaxchain(v_S,t_a),sP1_iProver_def,tc_set(tc_set(tc_set(t_a)))),
    inference(superposition,[status(thm)],[c_17883,c_51]) ).

cnf(c_24189,plain,
    ( ~ c_in(X0,c_Zorn_Omaxchain(X1,t_a),tc_set(sP0_iProver_def))
    | ~ c_lessequals(c_Union(X0,t_a),X2,tc_set(t_a))
    | ~ c_in(X2,X1,tc_set(t_a))
    | c_Union(X0,t_a) = X2 ),
    inference(superposition,[status(thm)],[c_17882,c_50]) ).

cnf(c_24198,plain,
    c_in(c_Zorn_OHausdorff__1(X0,t_a),c_Zorn_Omaxchain(X0,t_a),sP2_iProver_def),
    inference(light_normalisation,[status(thm)],[c_24135,c_17884]) ).

cnf(c_24201,plain,
    c_lessequals(c_Zorn_Omaxchain(v_S,t_a),sP1_iProver_def,tc_set(sP2_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_24147,c_17882,c_17884]) ).

cnf(c_24203,plain,
    ( ~ c_in(X0,c_Zorn_Omaxchain(v_S,t_a),sP2_iProver_def)
    | c_in(X0,sP1_iProver_def,sP2_iProver_def) ),
    inference(superposition,[status(thm)],[c_24201,c_163]) ).

cnf(c_24364,plain,
    ( ~ c_in(X0,c_Zorn_Omaxchain(X1,t_a),sP2_iProver_def)
    | ~ c_lessequals(c_Union(X0,t_a),X2,sP0_iProver_def)
    | ~ c_in(X2,X1,sP0_iProver_def)
    | c_Union(X0,t_a) = X2 ),
    inference(light_normalisation,[status(thm)],[c_24189,c_17882,c_17884]) ).

cnf(c_24373,plain,
    ( ~ c_lessequals(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a),X1,sP0_iProver_def)
    | ~ c_in(X1,X0,sP0_iProver_def)
    | c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a) = X1 ),
    inference(superposition,[status(thm)],[c_24198,c_24364]) ).

cnf(c_24383,plain,
    c_in(c_Zorn_OHausdorff__1(v_S,t_a),sP1_iProver_def,sP2_iProver_def),
    inference(superposition,[status(thm)],[c_24198,c_24203]) ).

cnf(c_24542,plain,
    ( ~ c_in(v_x(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a)),X0,sP0_iProver_def)
    | ~ c_in(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a),v_S,sP0_iProver_def)
    | v_x(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a)) = c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a) ),
    inference(superposition,[status(thm)],[c_17886,c_24373]) ).

cnf(c_24713,plain,
    ( ~ c_in(v_x(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a)),X0,sP0_iProver_def)
    | ~ c_in(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a),v_S,sP0_iProver_def) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_24542,c_17885]) ).

cnf(c_24720,plain,
    ~ c_in(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_S,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_17887,c_24713]) ).

cnf(c_24986,plain,
    ~ c_in(c_Zorn_OHausdorff__1(v_S,t_a),sP1_iProver_def,sP2_iProver_def),
    inference(superposition,[status(thm)],[c_17888,c_24720]) ).

cnf(c_24988,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_24383,c_24986]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SET865-1 : TPTP v8.2.0. Released v3.2.0.
% 0.04/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n024.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 17:35:54 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  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
% 8.03/1.70  % SZS status Started for theBenchmark.p
% 8.03/1.70  % SZS status Unsatisfiable for theBenchmark.p
% 8.03/1.70  
% 8.03/1.70  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.03/1.70  
% 8.03/1.70  ------  iProver source info
% 8.03/1.70  
% 8.03/1.70  git: date: 2024-06-12 09:56:46 +0000
% 8.03/1.70  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 8.03/1.70  git: non_committed_changes: false
% 8.03/1.70  
% 8.03/1.70  ------ Parsing...successful
% 8.03/1.70  
% 8.03/1.70  
% 8.03/1.70  
% 8.03/1.70  ------ Preprocessing... sup_sim: 1  sf_s  rm: 823 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e 
% 8.03/1.70  
% 8.03/1.70  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 8.03/1.70  
% 8.03/1.70  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 8.03/1.70  ------ Proving...
% 8.03/1.70  ------ Problem Properties 
% 8.03/1.70  
% 8.03/1.70  
% 8.03/1.70  clauses                                 305
% 8.03/1.70  conjectures                             4
% 8.03/1.70  EPR                                     26
% 8.03/1.70  Horn                                    278
% 8.03/1.70  unary                                   80
% 8.03/1.70  binary                                  177
% 8.03/1.70  lits                                    579
% 8.03/1.70  lits eq                                 167
% 8.03/1.70  fd_pure                                 0
% 8.03/1.70  fd_pseudo                               0
% 8.03/1.70  fd_cond                                 21
% 8.03/1.70  fd_pseudo_cond                          41
% 8.03/1.70  AC symbols                              0
% 8.03/1.70  
% 8.03/1.70  ------ Input Options Time Limit: Unbounded
% 8.03/1.70  
% 8.03/1.70  
% 8.03/1.70  ------ 
% 8.03/1.70  Current options:
% 8.03/1.70  ------ 
% 8.03/1.70  
% 8.03/1.70  
% 8.03/1.70  
% 8.03/1.70  
% 8.03/1.70  ------ Proving...
% 8.03/1.70  
% 8.03/1.70  
% 8.03/1.70  ------ Proving...
% 8.03/1.70  
% 8.03/1.70  
% 8.03/1.70  ------ Proving...
% 8.03/1.70  
% 8.03/1.70  
% 8.03/1.70  ------ Proving...
% 8.03/1.70  
% 8.03/1.70  
% 8.03/1.70  % SZS status Unsatisfiable for theBenchmark.p
% 8.03/1.70  
% 8.03/1.70  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.03/1.70  
% 8.03/1.70  
%------------------------------------------------------------------------------