TSTP Solution File: SWW314+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWW314+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n018.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 10:03:10 EDT 2024

% Result   : Theorem 1.07s 1.76s
% Output   : CNFRefutation 1.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   9 unt;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   15 (   8   ~;   5   |;   0   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   13 (   0 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_5,conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    file('/export/starexec/sandbox2/tmp/tmp.tbDQgt2gNt/E---3.1_32742.p',conj_5) ).

fof(fact_cut,axiom,
    ! [X4,X5,X8,X6] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X6,X8,X5)
     => ( c_Hoare__Mirabelle_Ohoare__derivs(X6,X4,X8)
       => c_Hoare__Mirabelle_Ohoare__derivs(X6,X4,X5) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.tbDQgt2gNt/E---3.1_32742.p',fact_cut) ).

fof(conj_4,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G_H),
    file('/export/starexec/sandbox2/tmp/tmp.tbDQgt2gNt/E---3.1_32742.p',conj_4) ).

fof(conj_0,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
    file('/export/starexec/sandbox2/tmp/tmp.tbDQgt2gNt/E---3.1_32742.p',conj_0) ).

fof(c_0_4,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_5])]) ).

fof(c_0_5,plain,
    ! [X292,X293,X294,X295] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X295,X294,X293)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X295,X292,X294)
      | c_Hoare__Mirabelle_Ohoare__derivs(X295,X292,X293) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_cut])])]) ).

fof(c_0_6,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    inference(fof_nnf,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G_H),
    inference(split_conjunct,[status(thm)],[conj_4]) ).

cnf(c_0_9,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,hypothesis,
    ( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,X1)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,X1) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
    inference(split_conjunct,[status(thm)],[conj_0]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWW314+1 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.13  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n018.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 13:29:01 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 1.04/1.21  Running first-order model finding
% 1.04/1.21  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.tbDQgt2gNt/E---3.1_32742.p
% 1.07/1.76  # Version: 3.1.0
% 1.07/1.76  # Preprocessing class: FMLMSMSMSSSNFFN.
% 1.07/1.76  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.07/1.76  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.07/1.76  # Starting new_bool_3 with 300s (1) cores
% 1.07/1.76  # Starting new_bool_1 with 300s (1) cores
% 1.07/1.76  # Starting sh5l with 300s (1) cores
% 1.07/1.76  # new_bool_3 with pid 352 completed with status 0
% 1.07/1.76  # Result found by new_bool_3
% 1.07/1.76  # Preprocessing class: FMLMSMSMSSSNFFN.
% 1.07/1.76  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.07/1.76  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.07/1.76  # Starting new_bool_3 with 300s (1) cores
% 1.07/1.76  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.07/1.76  # Search class: FGHSM-FSLM32-DFFFFFNN
% 1.07/1.76  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 1.07/1.76  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 1.07/1.76  # G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 356 completed with status 0
% 1.07/1.76  # Result found by G-E--_301_C18_F1_URBAN_S5PRR_S0Y
% 1.07/1.76  # Preprocessing class: FMLMSMSMSSSNFFN.
% 1.07/1.76  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.07/1.76  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.07/1.76  # Starting new_bool_3 with 300s (1) cores
% 1.07/1.76  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.07/1.76  # Search class: FGHSM-FSLM32-DFFFFFNN
% 1.07/1.76  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 1.07/1.76  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 1.07/1.76  # Preprocessing time       : 0.024 s
% 1.07/1.76  
% 1.07/1.76  # Proof found!
% 1.07/1.76  # SZS status Theorem
% 1.07/1.76  # SZS output start CNFRefutation
% See solution above
% 1.07/1.76  # Parsed axioms                        : 5231
% 1.07/1.76  # Removed by relevancy pruning/SinE    : 4781
% 1.07/1.76  # Initial clauses                      : 666
% 1.07/1.76  # Removed in clause preprocessing      : 31
% 1.07/1.76  # Initial clauses in saturation        : 635
% 1.07/1.76  # Processed clauses                    : 636
% 1.07/1.76  # ...of these trivial                  : 5
% 1.07/1.76  # ...subsumed                          : 117
% 1.07/1.76  # ...remaining for further processing  : 514
% 1.07/1.76  # Other redundant clauses eliminated   : 93
% 1.07/1.76  # Clauses deleted for lack of memory   : 0
% 1.07/1.76  # Backward-subsumed                    : 4
% 1.07/1.76  # Backward-rewritten                   : 6
% 1.07/1.76  # Generated clauses                    : 10360
% 1.07/1.76  # ...of the previous two non-redundant : 9137
% 1.07/1.76  # ...aggressively subsumed             : 0
% 1.07/1.76  # Contextual simplify-reflections      : 4
% 1.07/1.76  # Paramodulations                      : 10240
% 1.07/1.76  # Factorizations                       : 8
% 1.07/1.76  # NegExts                              : 0
% 1.07/1.76  # Equation resolutions                 : 113
% 1.07/1.76  # Disequality decompositions           : 0
% 1.07/1.76  # Total rewrite steps                  : 3093
% 1.07/1.76  # ...of those cached                   : 2153
% 1.07/1.76  # Propositional unsat checks           : 0
% 1.07/1.76  #    Propositional check models        : 0
% 1.07/1.76  #    Propositional check unsatisfiable : 0
% 1.07/1.76  #    Propositional clauses             : 0
% 1.07/1.76  #    Propositional clauses after purity: 0
% 1.07/1.76  #    Propositional unsat core size     : 0
% 1.07/1.76  #    Propositional preprocessing time  : 0.000
% 1.07/1.76  #    Propositional encoding time       : 0.000
% 1.07/1.76  #    Propositional solver time         : 0.000
% 1.07/1.76  #    Success case prop preproc time    : 0.000
% 1.07/1.76  #    Success case prop encoding time   : 0.000
% 1.07/1.76  #    Success case prop solver time     : 0.000
% 1.07/1.76  # Current number of processed clauses  : 481
% 1.07/1.76  #    Positive orientable unit clauses  : 107
% 1.07/1.76  #    Positive unorientable unit clauses: 17
% 1.07/1.76  #    Negative unit clauses             : 10
% 1.07/1.76  #    Non-unit-clauses                  : 347
% 1.07/1.76  # Current number of unprocessed clauses: 9134
% 1.07/1.76  # ...number of literals in the above   : 25637
% 1.07/1.76  # Current number of archived formulas  : 0
% 1.07/1.76  # Current number of archived clauses   : 10
% 1.07/1.76  # Clause-clause subsumption calls (NU) : 20379
% 1.07/1.76  # Rec. Clause-clause subsumption calls : 16356
% 1.07/1.76  # Non-unit clause-clause subsumptions  : 112
% 1.07/1.76  # Unit Clause-clause subsumption calls : 120
% 1.07/1.76  # Rewrite failures with RHS unbound    : 29
% 1.07/1.76  # BW rewrite match attempts            : 1605
% 1.07/1.76  # BW rewrite match successes           : 78
% 1.07/1.76  # Condensation attempts                : 0
% 1.07/1.76  # Condensation successes               : 0
% 1.07/1.76  # Termbank termtop insertions          : 525120
% 1.07/1.76  # Search garbage collected termcells   : 54289
% 1.07/1.76  
% 1.07/1.76  # -------------------------------------------------
% 1.07/1.76  # User time                : 0.312 s
% 1.07/1.76  # System time              : 0.030 s
% 1.07/1.76  # Total time               : 0.342 s
% 1.07/1.76  # Maximum resident set size: 11188 pages
% 1.07/1.76  
% 1.07/1.76  # -------------------------------------------------
% 1.07/1.76  # User time                : 0.491 s
% 1.07/1.76  # System time              : 0.041 s
% 1.07/1.76  # Total time               : 0.531 s
% 1.07/1.76  # Maximum resident set size: 9512 pages
% 1.07/1.76  % E---3.1 exiting
%------------------------------------------------------------------------------