TSTP Solution File: LCL113-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : LCL113-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n015.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 18:11:35 EDT 2023

% Result   : Unsatisfiable 0.17s 0.48s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   28 (  15 unt;   0 nHn;  10 RR)
%            Number of literals    :   45 (   0 equ;  19 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   :   56 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
    ( is_a_theorem(X2)
    | ~ is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.oq8HPogfLl/E---3.1_31513.p',condensed_detachment) ).

cnf(mv_2,axiom,
    is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
    file('/export/starexec/sandbox/tmp/tmp.oq8HPogfLl/E---3.1_31513.p',mv_2) ).

cnf(mv_3,axiom,
    is_a_theorem(implies(implies(implies(X1,X2),X2),implies(implies(X2,X1),X1))),
    file('/export/starexec/sandbox/tmp/tmp.oq8HPogfLl/E---3.1_31513.p',mv_3) ).

cnf(mv_1,axiom,
    is_a_theorem(implies(X1,implies(X2,X1))),
    file('/export/starexec/sandbox/tmp/tmp.oq8HPogfLl/E---3.1_31513.p',mv_1) ).

cnf(mv_5,axiom,
    is_a_theorem(implies(implies(not(X1),not(X2)),implies(X2,X1))),
    file('/export/starexec/sandbox/tmp/tmp.oq8HPogfLl/E---3.1_31513.p',mv_5) ).

cnf(prove_mv_33,negated_conjecture,
    ~ is_a_theorem(implies(implies(not(a),b),implies(not(b),a))),
    file('/export/starexec/sandbox/tmp/tmp.oq8HPogfLl/E---3.1_31513.p',prove_mv_33) ).

cnf(c_0_6,axiom,
    ( is_a_theorem(X2)
    | ~ is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(X1) ),
    condensed_detachment ).

cnf(c_0_7,axiom,
    is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
    mv_2 ).

cnf(c_0_8,plain,
    ( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
    | ~ is_a_theorem(implies(X3,X1)) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_9,axiom,
    is_a_theorem(implies(implies(implies(X1,X2),X2),implies(implies(X2,X1),X1))),
    mv_3 ).

cnf(c_0_10,axiom,
    is_a_theorem(implies(X1,implies(X2,X1))),
    mv_1 ).

cnf(c_0_11,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_6,c_0_8]) ).

cnf(c_0_12,axiom,
    is_a_theorem(implies(implies(not(X1),not(X2)),implies(X2,X1))),
    mv_5 ).

cnf(c_0_13,plain,
    ( is_a_theorem(implies(implies(X1,X2),X2))
    | ~ is_a_theorem(implies(implies(X2,X1),X1)) ),
    inference(spm,[status(thm)],[c_0_6,c_0_9]) ).

cnf(c_0_14,plain,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(X2) ),
    inference(spm,[status(thm)],[c_0_6,c_0_10]) ).

cnf(c_0_15,plain,
    ( is_a_theorem(implies(X1,implies(X2,X3)))
    | ~ is_a_theorem(implies(X1,implies(not(X3),not(X2)))) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,plain,
    ( is_a_theorem(implies(implies(X1,X2),X2))
    | ~ is_a_theorem(X1) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_17,plain,
    is_a_theorem(implies(not(X1),implies(X1,X2))),
    inference(spm,[status(thm)],[c_0_15,c_0_10]) ).

cnf(c_0_18,plain,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(implies(X1,implies(X3,X2)))
    | ~ is_a_theorem(X3) ),
    inference(spm,[status(thm)],[c_0_11,c_0_16]) ).

cnf(c_0_19,plain,
    is_a_theorem(implies(not(not(X1)),implies(X2,X1))),
    inference(spm,[status(thm)],[c_0_15,c_0_17]) ).

cnf(c_0_20,plain,
    ( is_a_theorem(implies(not(not(X1)),X1))
    | ~ is_a_theorem(X2) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_21,plain,
    ( is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))
    | ~ is_a_theorem(implies(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_18,c_0_7]) ).

cnf(c_0_22,plain,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(implies(not(X2),not(X1))) ),
    inference(spm,[status(thm)],[c_0_6,c_0_12]) ).

cnf(c_0_23,plain,
    is_a_theorem(implies(not(not(X1)),X1)),
    inference(spm,[status(thm)],[c_0_20,c_0_17]) ).

cnf(c_0_24,negated_conjecture,
    ~ is_a_theorem(implies(implies(not(a),b),implies(not(b),a))),
    prove_mv_33 ).

cnf(c_0_25,plain,
    ( is_a_theorem(implies(implies(not(X1),X2),implies(X3,X1)))
    | ~ is_a_theorem(implies(X2,not(X3))) ),
    inference(spm,[status(thm)],[c_0_15,c_0_21]) ).

cnf(c_0_26,plain,
    is_a_theorem(implies(X1,not(not(X1)))),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_27,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : LCL113-1 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.11  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n015.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon Oct  2 13:16:01 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.43  Running first-order theorem proving
% 0.17/0.43  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.oq8HPogfLl/E---3.1_31513.p
% 0.17/0.48  # Version: 3.1pre001
% 0.17/0.48  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.48  # Starting sh5l with 300s (1) cores
% 0.17/0.48  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 31591 completed with status 0
% 0.17/0.48  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.17/0.48  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/0.48  # No SInE strategy applied
% 0.17/0.48  # Search class: FHUNM-FFSF21-MFFFFFNN
% 0.17/0.48  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.48  # Starting G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with 811s (1) cores
% 0.17/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.17/0.48  # Starting new_bool_3 with 136s (1) cores
% 0.17/0.48  # Starting new_bool_1 with 136s (1) cores
% 0.17/0.48  # Starting C12_02_nc_SAT001_MinMin_p005000_rr with 136s (1) cores
% 0.17/0.48  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 31596 completed with status 0
% 0.17/0.48  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.17/0.48  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/0.48  # No SInE strategy applied
% 0.17/0.48  # Search class: FHUNM-FFSF21-MFFFFFNN
% 0.17/0.48  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.48  # Starting G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with 811s (1) cores
% 0.17/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.17/0.48  # Preprocessing time       : 0.002 s
% 0.17/0.48  
% 0.17/0.48  # Proof found!
% 0.17/0.48  # SZS status Unsatisfiable
% 0.17/0.48  # SZS output start CNFRefutation
% See solution above
% 0.17/0.48  # Parsed axioms                        : 6
% 0.17/0.48  # Removed by relevancy pruning/SinE    : 0
% 0.17/0.48  # Initial clauses                      : 6
% 0.17/0.48  # Removed in clause preprocessing      : 0
% 0.17/0.48  # Initial clauses in saturation        : 6
% 0.17/0.48  # Processed clauses                    : 395
% 0.17/0.48  # ...of these trivial                  : 1
% 0.17/0.48  # ...subsumed                          : 247
% 0.17/0.48  # ...remaining for further processing  : 147
% 0.17/0.48  # Other redundant clauses eliminated   : 0
% 0.17/0.48  # Clauses deleted for lack of memory   : 0
% 0.17/0.48  # Backward-subsumed                    : 5
% 0.17/0.48  # Backward-rewritten                   : 0
% 0.17/0.48  # Generated clauses                    : 2302
% 0.17/0.48  # ...of the previous two non-redundant : 2175
% 0.17/0.48  # ...aggressively subsumed             : 0
% 0.17/0.48  # Contextual simplify-reflections      : 2
% 0.17/0.48  # Paramodulations                      : 2302
% 0.17/0.48  # Factorizations                       : 0
% 0.17/0.48  # NegExts                              : 0
% 0.17/0.48  # Equation resolutions                 : 0
% 0.17/0.48  # Total rewrite steps                  : 96
% 0.17/0.48  # Propositional unsat checks           : 0
% 0.17/0.48  #    Propositional check models        : 0
% 0.17/0.48  #    Propositional check unsatisfiable : 0
% 0.17/0.48  #    Propositional clauses             : 0
% 0.17/0.48  #    Propositional clauses after purity: 0
% 0.17/0.48  #    Propositional unsat core size     : 0
% 0.17/0.48  #    Propositional preprocessing time  : 0.000
% 0.17/0.48  #    Propositional encoding time       : 0.000
% 0.17/0.48  #    Propositional solver time         : 0.000
% 0.17/0.48  #    Success case prop preproc time    : 0.000
% 0.17/0.48  #    Success case prop encoding time   : 0.000
% 0.17/0.48  #    Success case prop solver time     : 0.000
% 0.17/0.48  # Current number of processed clauses  : 142
% 0.17/0.48  #    Positive orientable unit clauses  : 19
% 0.17/0.48  #    Positive unorientable unit clauses: 0
% 0.17/0.48  #    Negative unit clauses             : 6
% 0.17/0.48  #    Non-unit-clauses                  : 117
% 0.17/0.48  # Current number of unprocessed clauses: 1702
% 0.17/0.48  # ...number of literals in the above   : 5138
% 0.17/0.48  # Current number of archived formulas  : 0
% 0.17/0.48  # Current number of archived clauses   : 5
% 0.17/0.48  # Clause-clause subsumption calls (NU) : 2599
% 0.17/0.48  # Rec. Clause-clause subsumption calls : 2489
% 0.17/0.48  # Non-unit clause-clause subsumptions  : 249
% 0.17/0.48  # Unit Clause-clause subsumption calls : 109
% 0.17/0.48  # Rewrite failures with RHS unbound    : 0
% 0.17/0.48  # BW rewrite match attempts            : 202
% 0.17/0.48  # BW rewrite match successes           : 2
% 0.17/0.48  # Condensation attempts                : 0
% 0.17/0.48  # Condensation successes               : 0
% 0.17/0.48  # Termbank termtop insertions          : 29124
% 0.17/0.48  
% 0.17/0.48  # -------------------------------------------------
% 0.17/0.48  # User time                : 0.037 s
% 0.17/0.48  # System time              : 0.004 s
% 0.17/0.48  # Total time               : 0.041 s
% 0.17/0.48  # Maximum resident set size: 1596 pages
% 0.17/0.48  
% 0.17/0.48  # -------------------------------------------------
% 0.17/0.48  # User time                : 0.191 s
% 0.17/0.48  # System time              : 0.014 s
% 0.17/0.48  # Total time               : 0.206 s
% 0.17/0.48  # Maximum resident set size: 1676 pages
% 0.17/0.48  % E---3.1 exiting
% 0.17/0.48  % E---3.1 exiting
%------------------------------------------------------------------------------