TSTP Solution File: SET828-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SET828-1 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n007.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 : Tue May 21 03:00:01 EDT 2024

% Result   : Unsatisfiable 0.35s 0.58s
% Output   : CNFRefutation 0.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   12 (   8 unt;   0 nHn;  12 RR)
%            Number of literals    :   19 (   0 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   13 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Set_OsubsetD_0,axiom,
    ( c_in(X1,X4,X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_lessequals(X2,X4,tc_set(X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetD_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_lessequals(v_X,v_Y,tc_set(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_3,negated_conjecture,
    ~ c_in(v_x,v_Y,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_in(v_x,v_X,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_0_4,plain,
    ( c_in(X1,X4,X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_lessequals(X2,X4,tc_set(X3)) ),
    inference(fof_simplification,[status(thm)],[cls_Set_OsubsetD_0]) ).

cnf(c_0_5,plain,
    ( c_in(X1,X4,X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_lessequals(X2,X4,tc_set(X3)) ),
    c_0_4 ).

cnf(c_0_6,negated_conjecture,
    c_lessequals(v_X,v_Y,tc_set(t_a)),
    cls_conjecture_0 ).

cnf(c_0_7,negated_conjecture,
    ~ c_in(v_x,v_Y,t_a),
    inference(fof_simplification,[status(thm)],[cls_conjecture_3]) ).

cnf(c_0_8,negated_conjecture,
    ( c_in(X1,v_Y,t_a)
    | ~ c_in(X1,v_X,t_a) ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    c_in(v_x,v_X,t_a),
    cls_conjecture_2 ).

cnf(c_0_10,negated_conjecture,
    ~ c_in(v_x,v_Y,t_a),
    c_0_7 ).

cnf(c_0_11,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem    : SET828-1 : TPTP v8.2.0. Released v3.2.0.
% 0.06/0.14  % Command    : run_E %s %d THM
% 0.14/0.34  % Computer : n007.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   : Mon May 20 12:55:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.19/0.49  Running first-order model finding
% 0.19/0.49  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/benchmark/theBenchmark.p
% 0.35/0.58  # Version: 3.1.0
% 0.35/0.58  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.35/0.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.35/0.58  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.35/0.58  # Starting new_bool_3 with 300s (1) cores
% 0.35/0.58  # Starting new_bool_1 with 300s (1) cores
% 0.35/0.58  # Starting sh5l with 300s (1) cores
% 0.35/0.58  # new_bool_3 with pid 11222 completed with status 0
% 0.35/0.58  # Result found by new_bool_3
% 0.35/0.58  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.35/0.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.35/0.58  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.35/0.58  # Starting new_bool_3 with 300s (1) cores
% 0.35/0.58  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.35/0.58  # Search class: FGHSM-FSLM32-SFFFFFNN
% 0.35/0.58  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.35/0.58  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 127s (1) cores
% 0.35/0.58  # G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 11225 completed with status 0
% 0.35/0.58  # Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 0.35/0.58  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.35/0.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.35/0.58  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.35/0.58  # Starting new_bool_3 with 300s (1) cores
% 0.35/0.58  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.35/0.58  # Search class: FGHSM-FSLM32-SFFFFFNN
% 0.35/0.58  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.35/0.58  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 127s (1) cores
% 0.35/0.58  # Preprocessing time       : 0.005 s
% 0.35/0.58  
% 0.35/0.58  # Proof found!
% 0.35/0.58  # SZS status Unsatisfiable
% 0.35/0.58  # SZS output start CNFRefutation
% See solution above
% 0.35/0.58  # Parsed axioms                        : 1362
% 0.35/0.58  # Removed by relevancy pruning/SinE    : 977
% 0.35/0.58  # Initial clauses                      : 385
% 0.35/0.58  # Removed in clause preprocessing      : 0
% 0.35/0.58  # Initial clauses in saturation        : 385
% 0.35/0.58  # Processed clauses                    : 398
% 0.35/0.58  # ...of these trivial                  : 1
% 0.35/0.58  # ...subsumed                          : 5
% 0.35/0.58  # ...remaining for further processing  : 392
% 0.35/0.58  # Other redundant clauses eliminated   : 0
% 0.35/0.58  # Clauses deleted for lack of memory   : 0
% 0.35/0.58  # Backward-subsumed                    : 2
% 0.35/0.58  # Backward-rewritten                   : 2
% 0.35/0.58  # Generated clauses                    : 150
% 0.35/0.58  # ...of the previous two non-redundant : 95
% 0.35/0.58  # ...aggressively subsumed             : 0
% 0.35/0.58  # Contextual simplify-reflections      : 0
% 0.35/0.58  # Paramodulations                      : 147
% 0.35/0.58  # Factorizations                       : 0
% 0.35/0.58  # NegExts                              : 0
% 0.35/0.58  # Equation resolutions                 : 3
% 0.35/0.58  # Disequality decompositions           : 0
% 0.35/0.58  # Total rewrite steps                  : 59
% 0.35/0.58  # ...of those cached                   : 28
% 0.35/0.58  # Propositional unsat checks           : 0
% 0.35/0.58  #    Propositional check models        : 0
% 0.35/0.58  #    Propositional check unsatisfiable : 0
% 0.35/0.58  #    Propositional clauses             : 0
% 0.35/0.58  #    Propositional clauses after purity: 0
% 0.35/0.58  #    Propositional unsat core size     : 0
% 0.35/0.58  #    Propositional preprocessing time  : 0.000
% 0.35/0.58  #    Propositional encoding time       : 0.000
% 0.35/0.58  #    Propositional solver time         : 0.000
% 0.35/0.58  #    Success case prop preproc time    : 0.000
% 0.35/0.58  #    Success case prop encoding time   : 0.000
% 0.35/0.58  #    Success case prop solver time     : 0.000
% 0.35/0.58  # Current number of processed clauses  : 388
% 0.35/0.58  #    Positive orientable unit clauses  : 38
% 0.35/0.58  #    Positive unorientable unit clauses: 0
% 0.35/0.58  #    Negative unit clauses             : 7
% 0.35/0.58  #    Non-unit-clauses                  : 343
% 0.35/0.58  # Current number of unprocessed clauses: 82
% 0.35/0.58  # ...number of literals in the above   : 154
% 0.35/0.58  # Current number of archived formulas  : 0
% 0.35/0.58  # Current number of archived clauses   : 4
% 0.35/0.58  # Clause-clause subsumption calls (NU) : 26723
% 0.35/0.58  # Rec. Clause-clause subsumption calls : 26715
% 0.35/0.58  # Non-unit clause-clause subsumptions  : 6
% 0.35/0.58  # Unit Clause-clause subsumption calls : 27
% 0.35/0.58  # Rewrite failures with RHS unbound    : 0
% 0.35/0.58  # BW rewrite match attempts            : 11
% 0.35/0.58  # BW rewrite match successes           : 2
% 0.35/0.58  # Condensation attempts                : 0
% 0.35/0.58  # Condensation successes               : 0
% 0.35/0.58  # Termbank termtop insertions          : 14412
% 0.35/0.58  # Search garbage collected termcells   : 2485
% 0.35/0.58  
% 0.35/0.58  # -------------------------------------------------
% 0.35/0.58  # User time                : 0.029 s
% 0.35/0.58  # System time              : 0.008 s
% 0.35/0.58  # Total time               : 0.037 s
% 0.35/0.58  # Maximum resident set size: 3008 pages
% 0.35/0.58  
% 0.35/0.58  # -------------------------------------------------
% 0.35/0.58  # User time                : 0.059 s
% 0.35/0.58  # System time              : 0.011 s
% 0.35/0.58  # Total time               : 0.070 s
% 0.35/0.58  # Maximum resident set size: 2408 pages
% 0.35/0.58  % E---3.1 exiting
%------------------------------------------------------------------------------