TSTP Solution File: LCL398-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : LCL398-1 : TPTP v8.1.2. Released v2.3.0.
% 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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 18:24:46 EDT 2023

% Result   : Unsatisfiable 0.17s 0.46s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   17 (  11 unt;   0 nHn;   8 RR)
%            Number of literals    :   26 (   0 equ;  12 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   27 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
    ( is_a_theorem(X2)
    | ~ is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.pqvqOAicZ7/E---3.1_22945.p',condensed_detachment) ).

cnf(cn_1,axiom,
    is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
    file('/export/starexec/sandbox2/tmp/tmp.pqvqOAicZ7/E---3.1_22945.p',cn_1) ).

cnf(cn_3,axiom,
    is_a_theorem(implies(X1,implies(not(X1),X2))),
    file('/export/starexec/sandbox2/tmp/tmp.pqvqOAicZ7/E---3.1_22945.p',cn_3) ).

cnf(cn_2,axiom,
    is_a_theorem(implies(implies(not(X1),X1),X1)),
    file('/export/starexec/sandbox2/tmp/tmp.pqvqOAicZ7/E---3.1_22945.p',cn_2) ).

cnf(prove_cn_64,negated_conjecture,
    ~ is_a_theorem(implies(not(implies(x,x)),y)),
    file('/export/starexec/sandbox2/tmp/tmp.pqvqOAicZ7/E---3.1_22945.p',prove_cn_64) ).

cnf(c_0_5,axiom,
    ( is_a_theorem(X2)
    | ~ is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(X1) ),
    condensed_detachment ).

cnf(c_0_6,axiom,
    is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
    cn_1 ).

cnf(c_0_7,plain,
    ( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
    | ~ is_a_theorem(implies(X3,X1)) ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_8,axiom,
    is_a_theorem(implies(X1,implies(not(X1),X2))),
    cn_3 ).

cnf(c_0_9,plain,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(implies(X3,X2))
    | ~ is_a_theorem(implies(X1,X3)) ),
    inference(spm,[status(thm)],[c_0_5,c_0_7]) ).

cnf(c_0_10,axiom,
    is_a_theorem(implies(implies(not(X1),X1),X1)),
    cn_2 ).

cnf(c_0_11,negated_conjecture,
    ~ is_a_theorem(implies(not(implies(x,x)),y)),
    prove_cn_64 ).

cnf(c_0_12,plain,
    ( is_a_theorem(implies(not(X1),X2))
    | ~ is_a_theorem(X1) ),
    inference(spm,[status(thm)],[c_0_5,c_0_8]) ).

cnf(c_0_13,plain,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(implies(X1,implies(not(X2),X2))) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,negated_conjecture,
    ~ is_a_theorem(implies(x,x)),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,plain,
    is_a_theorem(implies(X1,X1)),
    inference(spm,[status(thm)],[c_0_13,c_0_8]) ).

cnf(c_0_16,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : LCL398-1 : TPTP v8.1.2. Released v2.3.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.13/0.33  % Computer : n007.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 2400
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Oct  2 11:54:09 EDT 2023
% 0.13/0.33  % CPUTime    : 
% 0.17/0.46  Running first-order model finding
% 0.17/0.46  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.pqvqOAicZ7/E---3.1_22945.p
% 0.17/0.46  # Version: 3.1pre001
% 0.17/0.46  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.46  # Starting sh5l with 300s (1) cores
% 0.17/0.46  # new_bool_3 with pid 23023 completed with status 0
% 0.17/0.46  # Result found by new_bool_3
% 0.17/0.46  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.46  # Search class: FHUNS-FFSF21-MFFFFFNN
% 0.17/0.46  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.46  # Starting H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V with 181s (1) cores
% 0.17/0.46  # H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V with pid 23027 completed with status 0
% 0.17/0.46  # Result found by H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V
% 0.17/0.46  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.46  # Search class: FHUNS-FFSF21-MFFFFFNN
% 0.17/0.46  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.46  # Starting H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V with 181s (1) cores
% 0.17/0.46  # Preprocessing time       : 0.001 s
% 0.17/0.46  # Presaturation interreduction done
% 0.17/0.46  
% 0.17/0.46  # Proof found!
% 0.17/0.46  # SZS status Unsatisfiable
% 0.17/0.46  # SZS output start CNFRefutation
% See solution above
% 0.17/0.46  # Parsed axioms                        : 5
% 0.17/0.46  # Removed by relevancy pruning/SinE    : 0
% 0.17/0.46  # Initial clauses                      : 5
% 0.17/0.46  # Removed in clause preprocessing      : 0
% 0.17/0.46  # Initial clauses in saturation        : 5
% 0.17/0.46  # Processed clauses                    : 28
% 0.17/0.46  # ...of these trivial                  : 0
% 0.17/0.46  # ...subsumed                          : 4
% 0.17/0.46  # ...remaining for further processing  : 24
% 0.17/0.46  # Other redundant clauses eliminated   : 0
% 0.17/0.46  # Clauses deleted for lack of memory   : 0
% 0.17/0.46  # Backward-subsumed                    : 0
% 0.17/0.46  # Backward-rewritten                   : 1
% 0.17/0.46  # Generated clauses                    : 45
% 0.17/0.46  # ...of the previous two non-redundant : 38
% 0.17/0.46  # ...aggressively subsumed             : 0
% 0.17/0.46  # Contextual simplify-reflections      : 0
% 0.17/0.46  # Paramodulations                      : 45
% 0.17/0.46  # Factorizations                       : 0
% 0.17/0.46  # NegExts                              : 0
% 0.17/0.46  # Equation resolutions                 : 0
% 0.17/0.46  # Total rewrite steps                  : 1
% 0.17/0.46  # Propositional unsat checks           : 0
% 0.17/0.46  #    Propositional check models        : 0
% 0.17/0.46  #    Propositional check unsatisfiable : 0
% 0.17/0.46  #    Propositional clauses             : 0
% 0.17/0.46  #    Propositional clauses after purity: 0
% 0.17/0.46  #    Propositional unsat core size     : 0
% 0.17/0.46  #    Propositional preprocessing time  : 0.000
% 0.17/0.46  #    Propositional encoding time       : 0.000
% 0.17/0.46  #    Propositional solver time         : 0.000
% 0.17/0.46  #    Success case prop preproc time    : 0.000
% 0.17/0.46  #    Success case prop encoding time   : 0.000
% 0.17/0.46  #    Success case prop solver time     : 0.000
% 0.17/0.46  # Current number of processed clauses  : 18
% 0.17/0.46  #    Positive orientable unit clauses  : 4
% 0.17/0.46  #    Positive unorientable unit clauses: 0
% 0.17/0.46  #    Negative unit clauses             : 1
% 0.17/0.46  #    Non-unit-clauses                  : 13
% 0.17/0.46  # Current number of unprocessed clauses: 20
% 0.17/0.46  # ...number of literals in the above   : 50
% 0.17/0.46  # Current number of archived formulas  : 0
% 0.17/0.46  # Current number of archived clauses   : 6
% 0.17/0.46  # Clause-clause subsumption calls (NU) : 25
% 0.17/0.46  # Rec. Clause-clause subsumption calls : 25
% 0.17/0.46  # Non-unit clause-clause subsumptions  : 4
% 0.17/0.46  # Unit Clause-clause subsumption calls : 10
% 0.17/0.46  # Rewrite failures with RHS unbound    : 0
% 0.17/0.46  # BW rewrite match attempts            : 19
% 0.17/0.46  # BW rewrite match successes           : 1
% 0.17/0.46  # Condensation attempts                : 0
% 0.17/0.46  # Condensation successes               : 0
% 0.17/0.46  # Termbank termtop insertions          : 753
% 0.17/0.46  
% 0.17/0.46  # -------------------------------------------------
% 0.17/0.46  # User time                : 0.002 s
% 0.17/0.46  # System time              : 0.002 s
% 0.17/0.46  # Total time               : 0.004 s
% 0.17/0.46  # Maximum resident set size: 1628 pages
% 0.17/0.46  
% 0.17/0.46  # -------------------------------------------------
% 0.17/0.46  # User time                : 0.004 s
% 0.17/0.46  # System time              : 0.002 s
% 0.17/0.46  # Total time               : 0.006 s
% 0.17/0.46  # Maximum resident set size: 1676 pages
% 0.17/0.46  % E---3.1 exiting
%------------------------------------------------------------------------------