TSTP Solution File: SET849-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET849-2 : TPTP v8.1.2. Released v3.2.0.
% 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 : Fri May  3 03:01:47 EDT 2024

% Result   : Unsatisfiable 0.49s 1.16s
% Output   : CNFRefutation 0.49s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    c_lessequals(X0,X0,tc_set(X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).

cnf(c_50,plain,
    ( ~ c_lessequals(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(tc_set(X2))))
    | c_in(c_Union(X0,tc_set(X2)),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).

cnf(c_51,plain,
    ( ~ c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1)))
    | c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1) = c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Oequal__succ__Union_1) ).

cnf(c_52,negated_conjecture,
    c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a) != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_83,plain,
    ( tc_set(tc_set(tc_set(X0))) != tc_set(X1)
    | c_Zorn_OTFin(X2,X0) != X3
    | X3 != X4
    | c_in(c_Union(X4,tc_set(X0)),c_Zorn_OTFin(X2,X0),tc_set(tc_set(X0))) ),
    inference(resolution_lifted,[status(thm)],[c_49,c_50]) ).

cnf(c_84,plain,
    ( tc_set(tc_set(tc_set(X0))) != tc_set(X1)
    | c_in(c_Union(c_Zorn_OTFin(X2,X0),tc_set(X0)),c_Zorn_OTFin(X2,X0),tc_set(tc_set(X0))) ),
    inference(unflattening,[status(thm)],[c_83]) ).

cnf(c_161,plain,
    c_Zorn_OTFin(v_S,t_a) = sP0_iProver_def,
    definition ).

cnf(c_162,plain,
    tc_set(t_a) = sP1_iProver_def,
    definition ).

cnf(c_163,plain,
    c_Union(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_164,plain,
    c_Zorn_Osucc(v_S,sP2_iProver_def,t_a) = sP3_iProver_def,
    definition ).

cnf(c_165,negated_conjecture,
    sP3_iProver_def != sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_52,c_162,c_161,c_163,c_164]) ).

cnf(c_305,plain,
    c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1))),
    inference(equality_resolution,[status(thm)],[c_84]) ).

cnf(c_314,plain,
    c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1) = c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),
    inference(global_subsumption_just,[status(thm)],[c_51,c_51,c_305]) ).

cnf(c_317,plain,
    c_Zorn_Osucc(v_S,c_Union(sP0_iProver_def,tc_set(t_a)),t_a) = c_Union(sP0_iProver_def,tc_set(t_a)),
    inference(superposition,[status(thm)],[c_161,c_314]) ).

cnf(c_319,plain,
    sP2_iProver_def = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_317,c_162,c_163,c_164]) ).

cnf(c_321,plain,
    sP2_iProver_def != sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_165,c_319]) ).

cnf(c_322,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_321]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET849-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n021.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu May  2 20:32:28 EDT 2024
% 0.14/0.34  % 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
% 0.49/1.16  % SZS status Started for theBenchmark.p
% 0.49/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 0.49/1.16  
% 0.49/1.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.49/1.16  
% 0.49/1.16  ------  iProver source info
% 0.49/1.16  
% 0.49/1.16  git: date: 2024-05-02 19:28:25 +0000
% 0.49/1.16  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.49/1.16  git: non_committed_changes: false
% 0.49/1.16  
% 0.49/1.16  ------ Parsing...successful
% 0.49/1.16  
% 0.49/1.16  
% 0.49/1.16  
% 0.49/1.16  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 0.49/1.16  
% 0.49/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.49/1.16  
% 0.49/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.49/1.16  ------ Proving...
% 0.49/1.16  ------ Problem Properties 
% 0.49/1.16  
% 0.49/1.16  
% 0.49/1.16  clauses                                 7
% 0.49/1.16  conjectures                             1
% 0.49/1.16  EPR                                     1
% 0.49/1.16  Horn                                    7
% 0.49/1.16  unary                                   5
% 0.49/1.16  binary                                  2
% 0.49/1.16  lits                                    9
% 0.49/1.16  lits eq                                 7
% 0.49/1.16  fd_pure                                 0
% 0.49/1.16  fd_pseudo                               0
% 0.49/1.16  fd_cond                                 0
% 0.49/1.16  fd_pseudo_cond                          0
% 0.49/1.16  AC symbols                              0
% 0.49/1.16  
% 0.49/1.16  ------ Schedule dynamic 5 is on 
% 0.49/1.16  
% 0.49/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.49/1.16  
% 0.49/1.16  
% 0.49/1.16  ------ 
% 0.49/1.16  Current options:
% 0.49/1.16  ------ 
% 0.49/1.16  
% 0.49/1.16  
% 0.49/1.16  
% 0.49/1.16  
% 0.49/1.16  ------ Proving...
% 0.49/1.16  
% 0.49/1.16  
% 0.49/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 0.49/1.16  
% 0.49/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.49/1.16  
% 0.49/1.16  
%------------------------------------------------------------------------------