TSTP Solution File: SET851-1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET851-1 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n017.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 14:36:20 EDT 2024

% Result   : Unsatisfiable 8.17s 1.57s
% Output   : CNFRefutation 8.17s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_52,plain,
    ( ~ c_lessequals(X0,X1,tc_set(tc_set(X2)))
    | c_lessequals(X0,c_Zorn_Osucc(X3,X1,X2),tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Osucc__trans_0) ).

cnf(c_54,negated_conjecture,
    c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_55,negated_conjecture,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_56,negated_conjecture,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_57,negated_conjecture,
    ( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_x,tc_set(tc_set(t_a)))
    | c_lessequals(v_x,v_m,tc_set(tc_set(t_a))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(c_58,negated_conjecture,
    ( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
    | X0 = v_m
    | c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_m,tc_set(tc_set(t_a))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(c_170,plain,
    c_lessequals(X0,X0,tc_set(X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_Osubset__refl_0) ).

cnf(c_21716,plain,
    c_Zorn_OTFin(v_S,t_a) = sP0_iProver_def,
    definition ).

cnf(c_21717,plain,
    tc_set(t_a) = sP1_iProver_def,
    definition ).

cnf(c_21718,plain,
    tc_set(sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_21719,plain,
    c_Zorn_Osucc(v_S,v_m,t_a) = sP3_iProver_def,
    definition ).

cnf(c_21720,plain,
    c_Zorn_Osucc(v_S,v_x,t_a) = sP4_iProver_def,
    definition ).

cnf(c_21721,negated_conjecture,
    ( ~ c_in(X0,sP0_iProver_def,sP2_iProver_def)
    | ~ c_lessequals(X0,v_m,sP2_iProver_def)
    | X0 = v_m
    | c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_m,sP2_iProver_def) ),
    inference(demodulation,[status(thm)],[c_58,c_21717,c_21718,c_21716]) ).

cnf(c_21722,negated_conjecture,
    ( c_lessequals(v_x,v_m,sP2_iProver_def)
    | c_lessequals(sP3_iProver_def,v_x,sP2_iProver_def) ),
    inference(demodulation,[status(thm)],[c_57,c_21719]) ).

cnf(c_21723,negated_conjecture,
    ~ c_lessequals(sP3_iProver_def,sP4_iProver_def,sP2_iProver_def),
    inference(demodulation,[status(thm)],[c_56,c_21720]) ).

cnf(c_21724,negated_conjecture,
    ~ c_lessequals(sP4_iProver_def,v_m,sP2_iProver_def),
    inference(demodulation,[status(thm)],[c_55]) ).

cnf(c_21725,negated_conjecture,
    c_in(v_x,sP0_iProver_def,sP2_iProver_def),
    inference(demodulation,[status(thm)],[c_54]) ).

cnf(c_27179,plain,
    c_lessequals(X0,X0,sP2_iProver_def),
    inference(superposition,[status(thm)],[c_21718,c_170]) ).

cnf(c_27194,plain,
    ( ~ c_in(v_x,sP0_iProver_def,sP2_iProver_def)
    | ~ c_lessequals(v_x,v_m,sP2_iProver_def)
    | v_m = v_x
    | c_lessequals(sP4_iProver_def,v_m,sP2_iProver_def) ),
    inference(superposition,[status(thm)],[c_21720,c_21721]) ).

cnf(c_27195,plain,
    ( ~ c_lessequals(v_x,v_m,sP2_iProver_def)
    | v_m = v_x ),
    inference(forward_subsumption_resolution,[status(thm)],[c_27194,c_21724,c_21725]) ).

cnf(c_27208,plain,
    ( v_m = v_x
    | c_lessequals(sP3_iProver_def,v_x,sP2_iProver_def) ),
    inference(superposition,[status(thm)],[c_21722,c_27195]) ).

cnf(c_29665,plain,
    ( ~ c_lessequals(X0,v_x,tc_set(tc_set(t_a)))
    | c_lessequals(X0,sP4_iProver_def,tc_set(tc_set(t_a))) ),
    inference(superposition,[status(thm)],[c_21720,c_52]) ).

cnf(c_29675,plain,
    ( ~ c_lessequals(X0,v_x,sP2_iProver_def)
    | c_lessequals(X0,sP4_iProver_def,sP2_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_29665,c_21717,c_21718]) ).

cnf(c_29975,plain,
    ( v_m = v_x
    | c_lessequals(sP3_iProver_def,sP4_iProver_def,sP2_iProver_def) ),
    inference(superposition,[status(thm)],[c_27208,c_29675]) ).

cnf(c_29980,plain,
    v_m = v_x,
    inference(forward_subsumption_resolution,[status(thm)],[c_29975,c_21723]) ).

cnf(c_29984,plain,
    c_Zorn_Osucc(v_S,v_m,t_a) = sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_21720,c_29980]) ).

cnf(c_29987,plain,
    sP3_iProver_def = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_29984,c_21719]) ).

cnf(c_29989,plain,
    ~ c_lessequals(sP3_iProver_def,sP3_iProver_def,sP2_iProver_def),
    inference(demodulation,[status(thm)],[c_21723,c_29987]) ).

cnf(c_29990,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_29989,c_27179]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09  % Problem  : SET851-1 : TPTP v8.2.0. Released v3.2.0.
% 0.07/0.09  % Command  : run_iprover %s %d THM
% 0.08/0.29  % Computer : n017.cluster.edu
% 0.08/0.29  % Model    : x86_64 x86_64
% 0.08/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29  % Memory   : 8042.1875MB
% 0.08/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29  % CPULimit : 300
% 0.08/0.29  % WCLimit  : 300
% 0.08/0.29  % DateTime : Sun Jun 23 15:14:39 EDT 2024
% 0.08/0.29  % CPUTime  : 
% 0.14/0.39  Running first-order theorem proving
% 0.14/0.39  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
% 8.17/1.57  % SZS status Started for theBenchmark.p
% 8.17/1.57  % SZS status Unsatisfiable for theBenchmark.p
% 8.17/1.57  
% 8.17/1.57  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.17/1.57  
% 8.17/1.57  ------  iProver source info
% 8.17/1.57  
% 8.17/1.57  git: date: 2024-06-12 09:56:46 +0000
% 8.17/1.57  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 8.17/1.57  git: non_committed_changes: false
% 8.17/1.57  
% 8.17/1.57  ------ Parsing...successful
% 8.17/1.57  
% 8.17/1.57  
% 8.17/1.57  
% 8.17/1.57  ------ 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  sup_sim: 0  sf_s  rm: 69 0s  sf_e  pe_s  pe_e 
% 8.17/1.57  
% 8.17/1.57  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 8.17/1.57  
% 8.17/1.57  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 8.17/1.57  ------ Proving...
% 8.17/1.57  ------ Problem Properties 
% 8.17/1.57  
% 8.17/1.57  
% 8.17/1.57  clauses                                 310
% 8.17/1.57  conjectures                             6
% 8.17/1.57  EPR                                     31
% 8.17/1.57  Horn                                    278
% 8.17/1.57  unary                                   84
% 8.17/1.57  binary                                  175
% 8.17/1.57  lits                                    588
% 8.17/1.57  lits eq                                 168
% 8.17/1.57  fd_pure                                 0
% 8.17/1.57  fd_pseudo                               0
% 8.17/1.57  fd_cond                                 22
% 8.17/1.57  fd_pseudo_cond                          40
% 8.17/1.57  AC symbols                              0
% 8.17/1.57  
% 8.17/1.57  ------ Schedule dynamic 5 is on 
% 8.17/1.57  
% 8.17/1.57  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.17/1.57  
% 8.17/1.57  
% 8.17/1.57  ------ 
% 8.17/1.57  Current options:
% 8.17/1.57  ------ 
% 8.17/1.57  
% 8.17/1.57  
% 8.17/1.57  
% 8.17/1.57  
% 8.17/1.57  ------ Proving...
% 8.17/1.57  
% 8.17/1.57  
% 8.17/1.57  % SZS status Unsatisfiable for theBenchmark.p
% 8.17/1.57  
% 8.17/1.57  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.17/1.57  
% 8.17/1.57  
%------------------------------------------------------------------------------