TSTP Solution File: SCT042-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SCT042-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %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 : Sat May  4 09:16:30 EDT 2024

% Result   : Unsatisfiable 0.12s 0.46s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   13 (   8 unt;   2 nHn;  11 RR)
%            Number of literals    :   18 (   5 equ;  10 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :    8 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
    ( v_thesis____
    | ~ c_List_Odistinct(c_List_Olist_OCons(v_a____,c_List_Olist_OCons(v_b____,c_List_Olist_OCons(X1,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ),
    file('/export/starexec/sandbox2/tmp/tmp.aoAaYGTtIY/E---3.1_5541.p',cls_conjecture_1) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ v_thesis____,
    file('/export/starexec/sandbox2/tmp/tmp.aoAaYGTtIY/E---3.1_5541.p',cls_conjecture_0) ).

cnf(cls_CHAINED_0_01,axiom,
    v_a____ != v_b____,
    file('/export/starexec/sandbox2/tmp/tmp.aoAaYGTtIY/E---3.1_5541.p',cls_CHAINED_0_01) ).

cnf(cls_third__alt_0,axiom,
    ( c_List_Odistinct(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xthird__alt__1(X1,X2),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)
    | X1 = X2 ),
    file('/export/starexec/sandbox2/tmp/tmp.aoAaYGTtIY/E---3.1_5541.p',cls_third__alt_0) ).

cnf(c_0_4,negated_conjecture,
    ( v_thesis____
    | ~ c_List_Odistinct(c_List_Olist_OCons(v_a____,c_List_Olist_OCons(v_b____,c_List_Olist_OCons(X1,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ),
    inference(fof_simplification,[status(thm)],[cls_conjecture_1]) ).

cnf(c_0_5,negated_conjecture,
    ~ v_thesis____,
    inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).

cnf(c_0_6,negated_conjecture,
    ( v_thesis____
    | ~ c_List_Odistinct(c_List_Olist_OCons(v_a____,c_List_Olist_OCons(v_b____,c_List_Olist_OCons(X1,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ),
    c_0_4 ).

cnf(c_0_7,negated_conjecture,
    ~ v_thesis____,
    c_0_5 ).

cnf(c_0_8,plain,
    v_a____ != v_b____,
    inference(fof_simplification,[status(thm)],[cls_CHAINED_0_01]) ).

cnf(c_0_9,negated_conjecture,
    ~ c_List_Odistinct(c_List_Olist_OCons(v_a____,c_List_Olist_OCons(v_b____,c_List_Olist_OCons(X1,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),
    inference(sr,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,axiom,
    ( c_List_Odistinct(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xthird__alt__1(X1,X2),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)
    | X1 = X2 ),
    cls_third__alt_0 ).

cnf(c_0_11,plain,
    v_a____ != v_b____,
    c_0_8 ).

cnf(c_0_12,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08  % Problem    : SCT042-1 : TPTP v8.1.2. Released v4.1.0.
% 0.04/0.08  % Command    : run_E %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   : Fri May  3 08:50:24 EDT 2024
% 0.08/0.27  % CPUTime    : 
% 0.12/0.38  Running first-order model finding
% 0.12/0.38  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.aoAaYGTtIY/E---3.1_5541.p
% 0.12/0.46  # Version: 3.1.0
% 0.12/0.46  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.12/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.46  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.12/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.12/0.46  # Starting new_bool_1 with 300s (1) cores
% 0.12/0.46  # Starting sh5l with 300s (1) cores
% 0.12/0.46  # sh5l with pid 5649 completed with status 0
% 0.12/0.46  # Result found by sh5l
% 0.12/0.46  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.12/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.46  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.12/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.12/0.46  # Starting new_bool_1 with 300s (1) cores
% 0.12/0.46  # Starting sh5l with 300s (1) cores
% 0.12/0.46  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.12/0.46  # Search class: FGHSM-FSLM32-DFFFFFNN
% 0.12/0.46  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.46  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 0.12/0.46  # G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 5656 completed with status 0
% 0.12/0.46  # Result found by G-E--_301_C18_F1_URBAN_S5PRR_S0Y
% 0.12/0.46  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.12/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.46  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.12/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.12/0.46  # Starting new_bool_1 with 300s (1) cores
% 0.12/0.46  # Starting sh5l with 300s (1) cores
% 0.12/0.46  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.12/0.46  # Search class: FGHSM-FSLM32-DFFFFFNN
% 0.12/0.46  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.46  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 0.12/0.46  # Preprocessing time       : 0.012 s
% 0.12/0.46  
% 0.12/0.46  # Proof found!
% 0.12/0.46  # SZS status Unsatisfiable
% 0.12/0.46  # SZS output start CNFRefutation
% See solution above
% 0.12/0.46  # Parsed axioms                        : 666
% 0.12/0.46  # Removed by relevancy pruning/SinE    : 121
% 0.12/0.46  # Initial clauses                      : 545
% 0.12/0.46  # Removed in clause preprocessing      : 1
% 0.12/0.46  # Initial clauses in saturation        : 544
% 0.12/0.46  # Processed clauses                    : 423
% 0.12/0.46  # ...of these trivial                  : 32
% 0.12/0.46  # ...subsumed                          : 66
% 0.12/0.46  # ...remaining for further processing  : 325
% 0.12/0.46  # Other redundant clauses eliminated   : 3
% 0.12/0.46  # Clauses deleted for lack of memory   : 0
% 0.12/0.46  # Backward-subsumed                    : 3
% 0.12/0.46  # Backward-rewritten                   : 9
% 0.12/0.46  # Generated clauses                    : 1898
% 0.12/0.46  # ...of the previous two non-redundant : 1501
% 0.12/0.46  # ...aggressively subsumed             : 0
% 0.12/0.46  # Contextual simplify-reflections      : 0
% 0.12/0.46  # Paramodulations                      : 1881
% 0.12/0.46  # Factorizations                       : 2
% 0.12/0.46  # NegExts                              : 0
% 0.12/0.46  # Equation resolutions                 : 15
% 0.12/0.46  # Disequality decompositions           : 0
% 0.12/0.46  # Total rewrite steps                  : 1074
% 0.12/0.46  # ...of those cached                   : 849
% 0.12/0.46  # Propositional unsat checks           : 0
% 0.12/0.46  #    Propositional check models        : 0
% 0.12/0.46  #    Propositional check unsatisfiable : 0
% 0.12/0.46  #    Propositional clauses             : 0
% 0.12/0.46  #    Propositional clauses after purity: 0
% 0.12/0.46  #    Propositional unsat core size     : 0
% 0.12/0.46  #    Propositional preprocessing time  : 0.000
% 0.12/0.46  #    Propositional encoding time       : 0.000
% 0.12/0.46  #    Propositional solver time         : 0.000
% 0.12/0.46  #    Success case prop preproc time    : 0.000
% 0.12/0.46  #    Success case prop encoding time   : 0.000
% 0.12/0.46  #    Success case prop solver time     : 0.000
% 0.12/0.46  # Current number of processed clauses  : 313
% 0.12/0.46  #    Positive orientable unit clauses  : 105
% 0.12/0.46  #    Positive unorientable unit clauses: 3
% 0.12/0.46  #    Negative unit clauses             : 11
% 0.12/0.46  #    Non-unit-clauses                  : 194
% 0.12/0.46  # Current number of unprocessed clauses: 1621
% 0.12/0.46  # ...number of literals in the above   : 3693
% 0.12/0.46  # Current number of archived formulas  : 0
% 0.12/0.46  # Current number of archived clauses   : 12
% 0.12/0.46  # Clause-clause subsumption calls (NU) : 8254
% 0.12/0.46  # Rec. Clause-clause subsumption calls : 6171
% 0.12/0.46  # Non-unit clause-clause subsumptions  : 57
% 0.12/0.46  # Unit Clause-clause subsumption calls : 191
% 0.12/0.46  # Rewrite failures with RHS unbound    : 0
% 0.12/0.46  # BW rewrite match attempts            : 50
% 0.12/0.46  # BW rewrite match successes           : 40
% 0.12/0.46  # Condensation attempts                : 0
% 0.12/0.46  # Condensation successes               : 0
% 0.12/0.46  # Termbank termtop insertions          : 35814
% 0.12/0.46  # Search garbage collected termcells   : 1079
% 0.12/0.46  
% 0.12/0.46  # -------------------------------------------------
% 0.12/0.46  # User time                : 0.046 s
% 0.12/0.46  # System time              : 0.008 s
% 0.12/0.46  # Total time               : 0.054 s
% 0.12/0.46  # Maximum resident set size: 2884 pages
% 0.12/0.46  
% 0.12/0.46  # -------------------------------------------------
% 0.12/0.46  # User time                : 0.056 s
% 0.12/0.46  # System time              : 0.008 s
% 0.12/0.46  # Total time               : 0.064 s
% 0.12/0.46  # Maximum resident set size: 2140 pages
% 0.12/0.46  % E---3.1 exiting
%------------------------------------------------------------------------------