TSTP Solution File: LCL397-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : LCL397-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n019.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 18:12:37 EDT 2023

% Result   : Unsatisfiable 0.10s 0.35s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   20 (  10 unt;   0 nHn;   9 RR)
%            Number of literals    :   34 (   0 equ;  16 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   :   38 (   5 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.Ao8PiYooUn/E---3.1_29989.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.Ao8PiYooUn/E---3.1_29989.p',cn_1) ).

cnf(cn_2,axiom,
    is_a_theorem(implies(implies(not(X1),X1),X1)),
    file('/export/starexec/sandbox2/tmp/tmp.Ao8PiYooUn/E---3.1_29989.p',cn_2) ).

cnf(cn_3,axiom,
    is_a_theorem(implies(X1,implies(not(X1),X2))),
    file('/export/starexec/sandbox2/tmp/tmp.Ao8PiYooUn/E---3.1_29989.p',cn_3) ).

cnf(prove_cn_63,negated_conjecture,
    ~ is_a_theorem(implies(x,implies(y,y))),
    file('/export/starexec/sandbox2/tmp/tmp.Ao8PiYooUn/E---3.1_29989.p',prove_cn_63) ).

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,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_9,axiom,
    is_a_theorem(implies(implies(not(X1),X1),X1)),
    cn_2 ).

cnf(c_0_10,plain,
    ( is_a_theorem(implies(X1,implies(X2,X3)))
    | ~ is_a_theorem(implies(X1,implies(X4,X3)))
    | ~ is_a_theorem(implies(X2,X4)) ),
    inference(spm,[status(thm)],[c_0_8,c_0_7]) ).

cnf(c_0_11,axiom,
    is_a_theorem(implies(X1,implies(not(X1),X2))),
    cn_3 ).

cnf(c_0_12,plain,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(implies(X1,implies(not(X2),X2))) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,plain,
    ( is_a_theorem(implies(X1,implies(X2,X3)))
    | ~ is_a_theorem(implies(X2,not(X1))) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,plain,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(implies(not(X2),not(X1))) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_15,plain,
    ( is_a_theorem(implies(not(X1),X2))
    | ~ is_a_theorem(X1) ),
    inference(spm,[status(thm)],[c_0_5,c_0_11]) ).

cnf(c_0_16,negated_conjecture,
    ~ is_a_theorem(implies(x,implies(y,y))),
    prove_cn_63 ).

cnf(c_0_17,plain,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(X2) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,plain,
    is_a_theorem(implies(X1,X1)),
    inference(spm,[status(thm)],[c_0_12,c_0_11]) ).

cnf(c_0_19,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07  % Problem    : LCL397-1 : TPTP v8.1.2. Released v2.3.0.
% 0.04/0.08  % Command    : run_E %s %d THM
% 0.06/0.26  % Computer : n019.cluster.edu
% 0.06/0.26  % Model    : x86_64 x86_64
% 0.06/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26  % Memory   : 8042.1875MB
% 0.06/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26  % CPULimit   : 2400
% 0.06/0.26  % WCLimit    : 300
% 0.06/0.26  % DateTime   : Mon Oct  2 12:41:36 EDT 2023
% 0.06/0.26  % CPUTime    : 
% 0.10/0.34  Running first-order theorem proving
% 0.10/0.34  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.Ao8PiYooUn/E---3.1_29989.p
% 0.10/0.35  # Version: 3.1pre001
% 0.10/0.35  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.10/0.35  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.35  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.10/0.35  # Starting new_bool_3 with 300s (1) cores
% 0.10/0.35  # Starting new_bool_1 with 300s (1) cores
% 0.10/0.35  # Starting sh5l with 300s (1) cores
% 0.10/0.35  # sh5l with pid 30070 completed with status 0
% 0.10/0.35  # Result found by sh5l
% 0.10/0.35  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.10/0.35  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.35  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.10/0.35  # Starting new_bool_3 with 300s (1) cores
% 0.10/0.35  # Starting new_bool_1 with 300s (1) cores
% 0.10/0.35  # Starting sh5l with 300s (1) cores
% 0.10/0.35  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.10/0.35  # Search class: FHUNS-FFSF21-MFFFFFNN
% 0.10/0.35  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.35  # Starting H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V with 163s (1) cores
% 0.10/0.35  # H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V with pid 30076 completed with status 0
% 0.10/0.35  # Result found by H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V
% 0.10/0.35  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.10/0.35  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.35  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.10/0.35  # Starting new_bool_3 with 300s (1) cores
% 0.10/0.35  # Starting new_bool_1 with 300s (1) cores
% 0.10/0.35  # Starting sh5l with 300s (1) cores
% 0.10/0.35  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.10/0.35  # Search class: FHUNS-FFSF21-MFFFFFNN
% 0.10/0.35  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.35  # Starting H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V with 163s (1) cores
% 0.10/0.35  # Preprocessing time       : 0.001 s
% 0.10/0.35  # Presaturation interreduction done
% 0.10/0.35  
% 0.10/0.35  # Proof found!
% 0.10/0.35  # SZS status Unsatisfiable
% 0.10/0.35  # SZS output start CNFRefutation
% See solution above
% 0.10/0.35  # Parsed axioms                        : 5
% 0.10/0.35  # Removed by relevancy pruning/SinE    : 0
% 0.10/0.35  # Initial clauses                      : 5
% 0.10/0.35  # Removed in clause preprocessing      : 0
% 0.10/0.35  # Initial clauses in saturation        : 5
% 0.10/0.35  # Processed clauses                    : 61
% 0.10/0.35  # ...of these trivial                  : 0
% 0.10/0.35  # ...subsumed                          : 22
% 0.10/0.35  # ...remaining for further processing  : 39
% 0.10/0.35  # Other redundant clauses eliminated   : 0
% 0.10/0.35  # Clauses deleted for lack of memory   : 0
% 0.10/0.35  # Backward-subsumed                    : 0
% 0.10/0.35  # Backward-rewritten                   : 0
% 0.10/0.35  # Generated clauses                    : 143
% 0.10/0.35  # ...of the previous two non-redundant : 117
% 0.10/0.35  # ...aggressively subsumed             : 0
% 0.10/0.35  # Contextual simplify-reflections      : 0
% 0.10/0.35  # Paramodulations                      : 143
% 0.10/0.35  # Factorizations                       : 0
% 0.10/0.35  # NegExts                              : 0
% 0.10/0.35  # Equation resolutions                 : 0
% 0.10/0.35  # Total rewrite steps                  : 3
% 0.10/0.35  # Propositional unsat checks           : 0
% 0.10/0.35  #    Propositional check models        : 0
% 0.10/0.35  #    Propositional check unsatisfiable : 0
% 0.10/0.35  #    Propositional clauses             : 0
% 0.10/0.35  #    Propositional clauses after purity: 0
% 0.10/0.35  #    Propositional unsat core size     : 0
% 0.10/0.35  #    Propositional preprocessing time  : 0.000
% 0.10/0.35  #    Propositional encoding time       : 0.000
% 0.10/0.35  #    Propositional solver time         : 0.000
% 0.10/0.35  #    Success case prop preproc time    : 0.000
% 0.10/0.35  #    Success case prop encoding time   : 0.000
% 0.10/0.35  #    Success case prop solver time     : 0.000
% 0.10/0.35  # Current number of processed clauses  : 34
% 0.10/0.35  #    Positive orientable unit clauses  : 5
% 0.10/0.35  #    Positive unorientable unit clauses: 0
% 0.10/0.35  #    Negative unit clauses             : 2
% 0.10/0.35  #    Non-unit-clauses                  : 27
% 0.10/0.35  # Current number of unprocessed clauses: 65
% 0.10/0.35  # ...number of literals in the above   : 174
% 0.10/0.35  # Current number of archived formulas  : 0
% 0.10/0.35  # Current number of archived clauses   : 5
% 0.10/0.35  # Clause-clause subsumption calls (NU) : 249
% 0.10/0.35  # Rec. Clause-clause subsumption calls : 238
% 0.10/0.35  # Non-unit clause-clause subsumptions  : 22
% 0.10/0.35  # Unit Clause-clause subsumption calls : 11
% 0.10/0.35  # Rewrite failures with RHS unbound    : 0
% 0.10/0.35  # BW rewrite match attempts            : 25
% 0.10/0.35  # BW rewrite match successes           : 0
% 0.10/0.35  # Condensation attempts                : 0
% 0.10/0.35  # Condensation successes               : 0
% 0.10/0.35  # Termbank termtop insertions          : 2056
% 0.10/0.35  
% 0.10/0.35  # -------------------------------------------------
% 0.10/0.35  # User time                : 0.004 s
% 0.10/0.35  # System time              : 0.000 s
% 0.10/0.35  # Total time               : 0.004 s
% 0.10/0.35  # Maximum resident set size: 1640 pages
% 0.10/0.35  
% 0.10/0.35  # -------------------------------------------------
% 0.10/0.35  # User time                : 0.005 s
% 0.10/0.35  # System time              : 0.001 s
% 0.10/0.35  # Total time               : 0.006 s
% 0.10/0.35  # Maximum resident set size: 1676 pages
% 0.10/0.35  % E---3.1 exiting
% 0.10/0.35  % E---3.1 exiting
%------------------------------------------------------------------------------