TSTP Solution File: SET844-2 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET844-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.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 03:01:46 EDT 2024

% Result   : Unsatisfiable 1.43s 1.00s
% Output   : CNFRefutation 1.43s
% 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_Zorn_Osucc(X0,X1,X2) != X1
    | ~ c_in(X1,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
    | ~ c_in(X3,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
    | c_lessequals(X3,X1,tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Oeq__succ__upper_0) ).

cnf(c_52,negated_conjecture,
    c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_53,negated_conjecture,
    c_Zorn_Osucc(v_S,v_m,t_a) = v_m,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_54,negated_conjecture,
    ~ c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

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,
    tc_set(sP1_iProver_def) = sP3_iProver_def,
    definition ).

cnf(c_165,plain,
    c_Zorn_Osucc(v_S,v_m,t_a) = sP4_iProver_def,
    definition ).

cnf(c_166,negated_conjecture,
    ~ c_lessequals(sP2_iProver_def,v_m,sP3_iProver_def),
    inference(demodulation,[status(thm)],[c_54,c_164,c_162,c_161,c_163]) ).

cnf(c_167,negated_conjecture,
    sP4_iProver_def = v_m,
    inference(demodulation,[status(thm)],[c_53,c_165]) ).

cnf(c_168,negated_conjecture,
    c_in(v_m,sP0_iProver_def,sP3_iProver_def),
    inference(demodulation,[status(thm)],[c_52]) ).

cnf(c_350,plain,
    c_in(sP4_iProver_def,sP0_iProver_def,sP3_iProver_def),
    inference(light_normalisation,[status(thm)],[c_168,c_167]) ).

cnf(c_351,plain,
    ~ c_lessequals(sP2_iProver_def,sP4_iProver_def,sP3_iProver_def),
    inference(light_normalisation,[status(thm)],[c_166,c_167]) ).

cnf(c_356,plain,
    c_Zorn_Osucc(v_S,sP4_iProver_def,t_a) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_165,c_167]) ).

cnf(c_361,plain,
    ( ~ c_lessequals(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a))))
    | c_in(c_Union(X0,tc_set(t_a)),sP0_iProver_def,tc_set(tc_set(t_a))) ),
    inference(superposition,[status(thm)],[c_161,c_50]) ).

cnf(c_370,plain,
    ( ~ c_lessequals(X0,sP0_iProver_def,tc_set(sP3_iProver_def))
    | c_in(c_Union(X0,sP1_iProver_def),sP0_iProver_def,sP3_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_361,c_161,c_162,c_164]) ).

cnf(c_386,plain,
    ( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_in(sP4_iProver_def,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | c_lessequals(X0,sP4_iProver_def,tc_set(tc_set(t_a))) ),
    inference(superposition,[status(thm)],[c_356,c_51]) ).

cnf(c_387,plain,
    ( ~ c_in(X0,sP0_iProver_def,sP3_iProver_def)
    | ~ c_in(sP4_iProver_def,sP0_iProver_def,sP3_iProver_def)
    | c_lessequals(X0,sP4_iProver_def,sP3_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_386,c_161,c_162,c_164]) ).

cnf(c_388,plain,
    ( ~ c_in(X0,sP0_iProver_def,sP3_iProver_def)
    | c_lessequals(X0,sP4_iProver_def,sP3_iProver_def) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_387,c_350]) ).

cnf(c_401,plain,
    ( ~ c_lessequals(sP0_iProver_def,sP0_iProver_def,tc_set(sP3_iProver_def))
    | c_in(sP2_iProver_def,sP0_iProver_def,sP3_iProver_def) ),
    inference(superposition,[status(thm)],[c_163,c_370]) ).

cnf(c_403,plain,
    c_in(sP2_iProver_def,sP0_iProver_def,sP3_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_401,c_49]) ).

cnf(c_407,plain,
    c_lessequals(sP2_iProver_def,sP4_iProver_def,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_403,c_388]) ).

cnf(c_408,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_407,c_351]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : SET844-2 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.09  % Command  : run_iprover %s %d THM
% 0.08/0.27  % Computer : n032.cluster.edu
% 0.08/0.27  % Model    : x86_64 x86_64
% 0.08/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27  % Memory   : 8042.1875MB
% 0.08/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27  % CPULimit : 300
% 0.08/0.27  % WCLimit  : 300
% 0.08/0.27  % DateTime : Thu May  2 20:40:08 EDT 2024
% 0.08/0.27  % CPUTime  : 
% 0.11/0.35  Running first-order theorem proving
% 0.11/0.35  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
% 1.43/1.00  % SZS status Started for theBenchmark.p
% 1.43/1.00  % SZS status Unsatisfiable for theBenchmark.p
% 1.43/1.00  
% 1.43/1.00  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.43/1.00  
% 1.43/1.00  ------  iProver source info
% 1.43/1.00  
% 1.43/1.00  git: date: 2024-05-02 19:28:25 +0000
% 1.43/1.00  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.43/1.00  git: non_committed_changes: false
% 1.43/1.00  
% 1.43/1.00  ------ Parsing...successful
% 1.43/1.00  
% 1.43/1.00  
% 1.43/1.00  
% 1.43/1.00  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 1.43/1.00  
% 1.43/1.00  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.43/1.00  
% 1.43/1.00  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.43/1.00  ------ Proving...
% 1.43/1.00  ------ Problem Properties 
% 1.43/1.00  
% 1.43/1.00  
% 1.43/1.00  clauses                                 11
% 1.43/1.00  conjectures                             3
% 1.43/1.00  EPR                                     3
% 1.43/1.00  Horn                                    11
% 1.43/1.00  unary                                   9
% 1.43/1.00  binary                                  1
% 1.43/1.00  lits                                    15
% 1.43/1.00  lits eq                                 7
% 1.43/1.00  fd_pure                                 0
% 1.43/1.00  fd_pseudo                               0
% 1.43/1.00  fd_cond                                 0
% 1.43/1.00  fd_pseudo_cond                          0
% 1.43/1.00  AC symbols                              0
% 1.43/1.00  
% 1.43/1.00  ------ Schedule dynamic 5 is on 
% 1.43/1.00  
% 1.43/1.00  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.43/1.00  
% 1.43/1.00  
% 1.43/1.00  ------ 
% 1.43/1.00  Current options:
% 1.43/1.00  ------ 
% 1.43/1.00  
% 1.43/1.00  
% 1.43/1.00  
% 1.43/1.00  
% 1.43/1.00  ------ Proving...
% 1.43/1.00  
% 1.43/1.00  
% 1.43/1.00  % SZS status Unsatisfiable for theBenchmark.p
% 1.43/1.00  
% 1.43/1.00  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.43/1.00  
% 1.43/1.00  
%------------------------------------------------------------------------------