TSTP Solution File: LCL431-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : LCL431-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n006.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 18:24:51 EDT 2023

% Result   : Unsatisfiable 0.52s 0.82s
% Output   : CNFRefutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   10 (   7 unt;   0 nHn;   6 RR)
%            Number of literals    :   13 (   2 equ;   5 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :   14 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_PropLog_Ocompleteness__0__lemma__dest_0,axiom,
    ( c_in(X1,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(X1,X3,X2),c_PropLog_Ohyps(X1,X4,X2),tc_set(tc_PropLog_Opl(X2))),X2),tc_PropLog_Opl(X2))
    | ~ c_PropLog_Osat(c_emptyset,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.osSosSXr4b/E---3.1_19362.p',cls_PropLog_Ocompleteness__0__lemma__dest_0) ).

cnf(cls_Set_ODiff__cancel_0,axiom,
    c_minus(X1,X1,tc_set(X2)) = c_emptyset,
    file('/export/starexec/sandbox2/tmp/tmp.osSosSXr4b/E---3.1_19362.p',cls_Set_ODiff__cancel_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox2/tmp/tmp.osSosSXr4b/E---3.1_19362.p',cls_conjecture_1) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_PropLog_Osat(c_emptyset,v_p,t_a),
    file('/export/starexec/sandbox2/tmp/tmp.osSosSXr4b/E---3.1_19362.p',cls_conjecture_0) ).

cnf(c_0_4,axiom,
    ( c_in(X1,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(X1,X3,X2),c_PropLog_Ohyps(X1,X4,X2),tc_set(tc_PropLog_Opl(X2))),X2),tc_PropLog_Opl(X2))
    | ~ c_PropLog_Osat(c_emptyset,X1,X2) ),
    cls_PropLog_Ocompleteness__0__lemma__dest_0 ).

cnf(c_0_5,axiom,
    c_minus(X1,X1,tc_set(X2)) = c_emptyset,
    cls_Set_ODiff__cancel_0 ).

cnf(c_0_6,negated_conjecture,
    ~ c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
    cls_conjecture_1 ).

cnf(c_0_7,plain,
    ( c_in(X1,c_PropLog_Othms(c_emptyset,X2),tc_PropLog_Opl(X2))
    | ~ c_PropLog_Osat(c_emptyset,X1,X2) ),
    inference(spm,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    c_PropLog_Osat(c_emptyset,v_p,t_a),
    cls_conjecture_0 ).

cnf(c_0_9,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : LCL431-1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 2400
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Oct  2 12:59:10 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.67  Running first-order model finding
% 0.19/0.67  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.osSosSXr4b/E---3.1_19362.p
% 0.52/0.82  # Version: 3.1pre001
% 0.52/0.82  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.52/0.82  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.52/0.82  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.52/0.82  # Starting new_bool_3 with 300s (1) cores
% 0.52/0.82  # Starting new_bool_1 with 300s (1) cores
% 0.52/0.82  # Starting sh5l with 300s (1) cores
% 0.52/0.82  # new_bool_3 with pid 19440 completed with status 0
% 0.52/0.82  # Result found by new_bool_3
% 0.52/0.82  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.52/0.82  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.52/0.82  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.52/0.82  # Starting new_bool_3 with 300s (1) cores
% 0.52/0.82  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.52/0.82  # Search class: FGHSM-FSLM32-MFFFFFNN
% 0.52/0.82  # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.52/0.82  # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 0.52/0.82  # G-E--_303_C18_F1_URBAN_S0Y with pid 19443 completed with status 0
% 0.52/0.82  # Result found by G-E--_303_C18_F1_URBAN_S0Y
% 0.52/0.82  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.52/0.82  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.52/0.82  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.52/0.82  # Starting new_bool_3 with 300s (1) cores
% 0.52/0.82  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.52/0.82  # Search class: FGHSM-FSLM32-MFFFFFNN
% 0.52/0.82  # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.52/0.82  # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 0.52/0.82  # Preprocessing time       : 0.011 s
% 0.52/0.82  
% 0.52/0.82  # Proof found!
% 0.52/0.82  # SZS status Unsatisfiable
% 0.52/0.82  # SZS output start CNFRefutation
% See solution above
% 0.52/0.82  # Parsed axioms                        : 2753
% 0.52/0.82  # Removed by relevancy pruning/SinE    : 2360
% 0.52/0.82  # Initial clauses                      : 393
% 0.52/0.82  # Removed in clause preprocessing      : 0
% 0.52/0.82  # Initial clauses in saturation        : 393
% 0.52/0.82  # Processed clauses                    : 442
% 0.52/0.82  # ...of these trivial                  : 8
% 0.52/0.82  # ...subsumed                          : 65
% 0.52/0.82  # ...remaining for further processing  : 369
% 0.52/0.82  # Other redundant clauses eliminated   : 0
% 0.52/0.82  # Clauses deleted for lack of memory   : 0
% 0.52/0.82  # Backward-subsumed                    : 2
% 0.52/0.82  # Backward-rewritten                   : 6
% 0.52/0.82  # Generated clauses                    : 1991
% 0.52/0.82  # ...of the previous two non-redundant : 1510
% 0.52/0.82  # ...aggressively subsumed             : 0
% 0.52/0.82  # Contextual simplify-reflections      : 1
% 0.52/0.82  # Paramodulations                      : 1967
% 0.52/0.82  # Factorizations                       : 0
% 0.52/0.82  # NegExts                              : 0
% 0.52/0.82  # Equation resolutions                 : 24
% 0.52/0.82  # Total rewrite steps                  : 673
% 0.52/0.82  # Propositional unsat checks           : 0
% 0.52/0.82  #    Propositional check models        : 0
% 0.52/0.82  #    Propositional check unsatisfiable : 0
% 0.52/0.82  #    Propositional clauses             : 0
% 0.52/0.82  #    Propositional clauses after purity: 0
% 0.52/0.82  #    Propositional unsat core size     : 0
% 0.52/0.82  #    Propositional preprocessing time  : 0.000
% 0.52/0.82  #    Propositional encoding time       : 0.000
% 0.52/0.82  #    Propositional solver time         : 0.000
% 0.52/0.82  #    Success case prop preproc time    : 0.000
% 0.52/0.82  #    Success case prop encoding time   : 0.000
% 0.52/0.82  #    Success case prop solver time     : 0.000
% 0.52/0.82  # Current number of processed clauses  : 361
% 0.52/0.82  #    Positive orientable unit clauses  : 66
% 0.52/0.82  #    Positive unorientable unit clauses: 2
% 0.52/0.82  #    Negative unit clauses             : 19
% 0.52/0.82  #    Non-unit-clauses                  : 274
% 0.52/0.82  # Current number of unprocessed clauses: 1459
% 0.52/0.82  # ...number of literals in the above   : 4248
% 0.52/0.82  # Current number of archived formulas  : 0
% 0.52/0.82  # Current number of archived clauses   : 8
% 0.52/0.82  # Clause-clause subsumption calls (NU) : 15297
% 0.52/0.82  # Rec. Clause-clause subsumption calls : 6724
% 0.52/0.82  # Non-unit clause-clause subsumptions  : 26
% 0.52/0.82  # Unit Clause-clause subsumption calls : 465
% 0.52/0.82  # Rewrite failures with RHS unbound    : 0
% 0.52/0.82  # BW rewrite match attempts            : 26
% 0.52/0.82  # BW rewrite match successes           : 6
% 0.52/0.82  # Condensation attempts                : 0
% 0.52/0.82  # Condensation successes               : 0
% 0.52/0.82  # Termbank termtop insertions          : 56415
% 0.52/0.82  
% 0.52/0.82  # -------------------------------------------------
% 0.52/0.82  # User time                : 0.084 s
% 0.52/0.82  # System time              : 0.012 s
% 0.52/0.82  # Total time               : 0.096 s
% 0.52/0.82  # Maximum resident set size: 4332 pages
% 0.52/0.82  
% 0.52/0.82  # -------------------------------------------------
% 0.52/0.82  # User time                : 0.116 s
% 0.52/0.82  # System time              : 0.013 s
% 0.52/0.82  # Total time               : 0.129 s
% 0.52/0.82  # Maximum resident set size: 3480 pages
% 0.52/0.82  % E---3.1 exiting
%------------------------------------------------------------------------------