TSTP Solution File: SWV880-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWV880-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n019.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 20:08:03 EDT 2023

% Result   : Unsatisfiable 0.16s 0.51s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   22 (  18 unt;   0 nHn;  15 RR)
%            Number of literals    :   28 (   9 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-4 aty)
%            Number of variables   :   35 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_image__insert_0,axiom,
    c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) = c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5),
    file('/export/starexec/sandbox2/tmp/tmp.qsBgvHEhWY/E---3.1_13373.p',cls_image__insert_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    v_G = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),
    file('/export/starexec/sandbox2/tmp/tmp.qsBgvHEhWY/E---3.1_13373.p',cls_conjecture_1) ).

cnf(cls_insert__absorb_0,axiom,
    ( c_Set_Oinsert(X1,X2,X3) = X2
    | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.qsBgvHEhWY/E---3.1_13373.p',cls_insert__absorb_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_in(v_pn,v_U,tc_Com_Opname),
    file('/export/starexec/sandbox2/tmp/tmp.qsBgvHEhWY/E---3.1_13373.p',cls_conjecture_2) ).

cnf(cls_conjecture_3,negated_conjecture,
    ~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
    file('/export/starexec/sandbox2/tmp/tmp.qsBgvHEhWY/E---3.1_13373.p',cls_conjecture_3) ).

cnf(cls_insert__iff_1,axiom,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    file('/export/starexec/sandbox2/tmp/tmp.qsBgvHEhWY/E---3.1_13373.p',cls_insert__iff_1) ).

cnf(cls_insert__subset_2,axiom,
    ( c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_in(X1,X4,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.qsBgvHEhWY/E---3.1_13373.p',cls_insert__subset_2) ).

cnf(cls_empty__subsetI_0,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox2/tmp/tmp.qsBgvHEhWY/E---3.1_13373.p',cls_empty__subsetI_0) ).

cnf(c_0_8,axiom,
    c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) = c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5),
    cls_image__insert_0 ).

cnf(c_0_9,negated_conjecture,
    v_G = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),
    cls_conjecture_1 ).

cnf(c_0_10,axiom,
    ( c_Set_Oinsert(X1,X2,X3) = X2
    | ~ c_in(X1,X2,X3) ),
    cls_insert__absorb_0 ).

cnf(c_0_11,negated_conjecture,
    c_in(v_pn,v_U,tc_Com_Opname),
    cls_conjecture_2 ).

cnf(c_0_12,negated_conjecture,
    c_Set_Oimage(v_mgt__call,c_Set_Oinsert(X1,v_U,tc_Com_Opname),tc_Com_Opname,t_a) = c_Set_Oinsert(hAPP(v_mgt__call,X1),v_G,t_a),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,negated_conjecture,
    c_Set_Oinsert(v_pn,v_U,tc_Com_Opname) = v_U,
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,negated_conjecture,
    ~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
    cls_conjecture_3 ).

cnf(c_0_15,axiom,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    cls_insert__iff_1 ).

cnf(c_0_16,negated_conjecture,
    c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a) = v_G,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_9]) ).

cnf(c_0_17,negated_conjecture,
    ~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool)),
    inference(rw,[status(thm)],[c_0_14,c_0_9]) ).

cnf(c_0_18,axiom,
    ( c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_in(X1,X4,X3) ),
    cls_insert__subset_2 ).

cnf(c_0_19,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
    cls_empty__subsetI_0 ).

cnf(c_0_20,negated_conjecture,
    c_in(hAPP(v_mgt__call,v_pn),v_G,t_a),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_21,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : SWV880-1 : TPTP v8.1.2. Released v4.1.0.
% 0.02/0.10  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n019.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 2400
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Oct  3 04:39:21 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.16/0.45  Running first-order model finding
% 0.16/0.45  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.qsBgvHEhWY/E---3.1_13373.p
% 0.16/0.51  # Version: 3.1pre001
% 0.16/0.51  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.51  # Starting sh5l with 300s (1) cores
% 0.16/0.51  # new_bool_3 with pid 13452 completed with status 0
% 0.16/0.51  # Result found by new_bool_3
% 0.16/0.51  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.51  # Search class: FGHSM-FSLS32-DFFFFFNN
% 0.16/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.51  # Starting SAT001_MinMin_p005000_rr_RG with 100s (1) cores
% 0.16/0.51  # SAT001_MinMin_p005000_rr_RG with pid 13455 completed with status 0
% 0.16/0.51  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.16/0.51  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.51  # Search class: FGHSM-FSLS32-DFFFFFNN
% 0.16/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.51  # Starting SAT001_MinMin_p005000_rr_RG with 100s (1) cores
% 0.16/0.51  # Preprocessing time       : 0.003 s
% 0.16/0.51  # Presaturation interreduction done
% 0.16/0.51  
% 0.16/0.51  # Proof found!
% 0.16/0.51  # SZS status Unsatisfiable
% 0.16/0.51  # SZS output start CNFRefutation
% See solution above
% 0.16/0.51  # Parsed axioms                        : 507
% 0.16/0.51  # Removed by relevancy pruning/SinE    : 323
% 0.16/0.51  # Initial clauses                      : 184
% 0.16/0.51  # Removed in clause preprocessing      : 0
% 0.16/0.51  # Initial clauses in saturation        : 184
% 0.16/0.51  # Processed clauses                    : 556
% 0.16/0.51  # ...of these trivial                  : 9
% 0.16/0.51  # ...subsumed                          : 240
% 0.16/0.51  # ...remaining for further processing  : 307
% 0.16/0.51  # Other redundant clauses eliminated   : 5
% 0.16/0.51  # Clauses deleted for lack of memory   : 0
% 0.16/0.51  # Backward-subsumed                    : 19
% 0.16/0.51  # Backward-rewritten                   : 0
% 0.16/0.51  # Generated clauses                    : 1295
% 0.16/0.51  # ...of the previous two non-redundant : 897
% 0.16/0.51  # ...aggressively subsumed             : 0
% 0.16/0.51  # Contextual simplify-reflections      : 3
% 0.16/0.51  # Paramodulations                      : 1288
% 0.16/0.51  # Factorizations                       : 0
% 0.16/0.51  # NegExts                              : 0
% 0.16/0.51  # Equation resolutions                 : 7
% 0.16/0.51  # Total rewrite steps                  : 571
% 0.16/0.51  # Propositional unsat checks           : 0
% 0.16/0.51  #    Propositional check models        : 0
% 0.16/0.51  #    Propositional check unsatisfiable : 0
% 0.16/0.51  #    Propositional clauses             : 0
% 0.16/0.51  #    Propositional clauses after purity: 0
% 0.16/0.51  #    Propositional unsat core size     : 0
% 0.16/0.51  #    Propositional preprocessing time  : 0.000
% 0.16/0.51  #    Propositional encoding time       : 0.000
% 0.16/0.51  #    Propositional solver time         : 0.000
% 0.16/0.51  #    Success case prop preproc time    : 0.000
% 0.16/0.51  #    Success case prop encoding time   : 0.000
% 0.16/0.51  #    Success case prop solver time     : 0.000
% 0.16/0.51  # Current number of processed clauses  : 153
% 0.16/0.51  #    Positive orientable unit clauses  : 47
% 0.16/0.51  #    Positive unorientable unit clauses: 4
% 0.16/0.51  #    Negative unit clauses             : 22
% 0.16/0.51  #    Non-unit-clauses                  : 80
% 0.16/0.51  # Current number of unprocessed clauses: 640
% 0.16/0.51  # ...number of literals in the above   : 1152
% 0.16/0.51  # Current number of archived formulas  : 0
% 0.16/0.51  # Current number of archived clauses   : 154
% 0.16/0.51  # Clause-clause subsumption calls (NU) : 1339
% 0.16/0.51  # Rec. Clause-clause subsumption calls : 1140
% 0.16/0.51  # Non-unit clause-clause subsumptions  : 122
% 0.16/0.51  # Unit Clause-clause subsumption calls : 157
% 0.16/0.51  # Rewrite failures with RHS unbound    : 0
% 0.16/0.51  # BW rewrite match attempts            : 84
% 0.16/0.51  # BW rewrite match successes           : 73
% 0.16/0.51  # Condensation attempts                : 0
% 0.16/0.51  # Condensation successes               : 0
% 0.16/0.51  # Termbank termtop insertions          : 30994
% 0.16/0.51  
% 0.16/0.51  # -------------------------------------------------
% 0.16/0.51  # User time                : 0.037 s
% 0.16/0.51  # System time              : 0.004 s
% 0.16/0.51  # Total time               : 0.041 s
% 0.16/0.51  # Maximum resident set size: 2320 pages
% 0.16/0.51  
% 0.16/0.51  # -------------------------------------------------
% 0.16/0.51  # User time                : 0.048 s
% 0.16/0.51  # System time              : 0.007 s
% 0.16/0.51  # Total time               : 0.054 s
% 0.16/0.51  # Maximum resident set size: 2064 pages
% 0.16/0.51  % E---3.1 exiting
%------------------------------------------------------------------------------