TSTP Solution File: COL012-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : COL012-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n002.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 07:27:59 EDT 2024

% Result   : Unsatisfiable 0.78s 0.97s
% Output   : CNFRefutation 0.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of clauses     :    7 (   7 unt;   0 nHn;   5 RR)
%            Number of literals    :    7 (   6 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_fixed_point,negated_conjecture,
    X1 != apply(combinator,X1),
    file('/export/starexec/sandbox2/tmp/tmp.Wo6Ot3HsnF/E---3.1_22383.p',prove_fixed_point) ).

cnf(u_definition,axiom,
    apply(apply(u,X1),X2) = apply(X2,apply(apply(X1,X1),X2)),
    file('/export/starexec/sandbox2/tmp/tmp.Wo6Ot3HsnF/E---3.1_22383.p',u_definition) ).

cnf(c_0_2,negated_conjecture,
    X1 != apply(combinator,X1),
    inference(fof_simplification,[status(thm)],[prove_fixed_point]) ).

cnf(c_0_3,negated_conjecture,
    X1 != apply(combinator,X1),
    c_0_2 ).

cnf(c_0_4,axiom,
    apply(apply(u,X1),X2) = apply(X2,apply(apply(X1,X1),X2)),
    u_definition ).

cnf(c_0_5,negated_conjecture,
    apply(apply(u,X1),combinator) != apply(apply(X1,X1),combinator),
    inference(spm,[status(thm)],[c_0_3,c_0_4]) ).

cnf(c_0_6,negated_conjecture,
    $false,
    inference(er,[status(thm)],[c_0_5]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : COL012-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.13/0.33  % Computer : n002.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   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Fri May  3 11:55:12 EDT 2024
% 0.13/0.33  % CPUTime    : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  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.Wo6Ot3HsnF/E---3.1_22383.p
% 0.78/0.97  # Version: 3.1.0
% 0.78/0.97  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.78/0.97  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.78/0.97  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.78/0.97  # Starting new_bool_3 with 300s (1) cores
% 0.78/0.97  # Starting new_bool_1 with 300s (1) cores
% 0.78/0.97  # Starting sh5l with 300s (1) cores
% 0.78/0.97  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 22462 completed with status 0
% 0.78/0.97  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.78/0.97  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.78/0.97  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.78/0.97  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.78/0.97  # No SInE strategy applied
% 0.78/0.97  # Search class: FUUPF-FFSF22-MFFFFFNN
% 0.78/0.97  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.78/0.97  # Starting G-E--_209_C18_F1_AE_CS_SP_PI_S0Y with 416s (1) cores
% 0.78/0.97  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.78/0.97  # Starting new_bool_3 with 234s (1) cores
% 0.78/0.97  # Starting new_bool_1 with 234s (1) cores
% 0.78/0.97  # Starting sh5l with 234s (1) cores
% 0.78/0.97  # G-E--_209_C18_F1_AE_CS_SP_PI_S0Y with pid 22466 completed with status 0
% 0.78/0.97  # Result found by G-E--_209_C18_F1_AE_CS_SP_PI_S0Y
% 0.78/0.97  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.78/0.97  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.78/0.97  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.78/0.97  # No SInE strategy applied
% 0.78/0.97  # Search class: FUUPF-FFSF22-MFFFFFNN
% 0.78/0.97  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.78/0.97  # Starting G-E--_209_C18_F1_AE_CS_SP_PI_S0Y with 416s (1) cores
% 0.78/0.97  # Preprocessing time       : 0.001 s
% 0.78/0.97  
% 0.78/0.97  # Proof found!
% 0.78/0.97  # SZS status Unsatisfiable
% 0.78/0.97  # SZS output start CNFRefutation
% See solution above
% 0.78/0.97  # Parsed axioms                        : 2
% 0.78/0.97  # Removed by relevancy pruning/SinE    : 0
% 0.78/0.97  # Initial clauses                      : 2
% 0.78/0.97  # Removed in clause preprocessing      : 0
% 0.78/0.97  # Initial clauses in saturation        : 2
% 0.78/0.97  # Processed clauses                    : 4
% 0.78/0.97  # ...of these trivial                  : 0
% 0.78/0.97  # ...subsumed                          : 0
% 0.78/0.97  # ...remaining for further processing  : 4
% 0.78/0.97  # Other redundant clauses eliminated   : 0
% 0.78/0.97  # Clauses deleted for lack of memory   : 0
% 0.78/0.97  # Backward-subsumed                    : 0
% 0.78/0.97  # Backward-rewritten                   : 0
% 0.78/0.97  # Generated clauses                    : 12
% 0.78/0.97  # ...of the previous two non-redundant : 10
% 0.78/0.97  # ...aggressively subsumed             : 0
% 0.78/0.97  # Contextual simplify-reflections      : 0
% 0.78/0.97  # Paramodulations                      : 11
% 0.78/0.97  # Factorizations                       : 0
% 0.78/0.97  # NegExts                              : 0
% 0.78/0.97  # Equation resolutions                 : 1
% 0.78/0.97  # Disequality decompositions           : 0
% 0.78/0.97  # Total rewrite steps                  : 6
% 0.78/0.97  # ...of those cached                   : 4
% 0.78/0.97  # Propositional unsat checks           : 0
% 0.78/0.97  #    Propositional check models        : 0
% 0.78/0.97  #    Propositional check unsatisfiable : 0
% 0.78/0.97  #    Propositional clauses             : 0
% 0.78/0.97  #    Propositional clauses after purity: 0
% 0.78/0.97  #    Propositional unsat core size     : 0
% 0.78/0.97  #    Propositional preprocessing time  : 0.000
% 0.78/0.97  #    Propositional encoding time       : 0.000
% 0.78/0.97  #    Propositional solver time         : 0.000
% 0.78/0.97  #    Success case prop preproc time    : 0.000
% 0.78/0.97  #    Success case prop encoding time   : 0.000
% 0.78/0.97  #    Success case prop solver time     : 0.000
% 0.78/0.97  # Current number of processed clauses  : 4
% 0.78/0.97  #    Positive orientable unit clauses  : 2
% 0.78/0.97  #    Positive unorientable unit clauses: 0
% 0.78/0.97  #    Negative unit clauses             : 2
% 0.78/0.97  #    Non-unit-clauses                  : 0
% 0.78/0.97  # Current number of unprocessed clauses: 8
% 0.78/0.97  # ...number of literals in the above   : 8
% 0.78/0.97  # Current number of archived formulas  : 0
% 0.78/0.97  # Current number of archived clauses   : 0
% 0.78/0.97  # Clause-clause subsumption calls (NU) : 0
% 0.78/0.97  # Rec. Clause-clause subsumption calls : 0
% 0.78/0.97  # Non-unit clause-clause subsumptions  : 0
% 0.78/0.97  # Unit Clause-clause subsumption calls : 0
% 0.78/0.97  # Rewrite failures with RHS unbound    : 0
% 0.78/0.97  # BW rewrite match attempts            : 0
% 0.78/0.97  # BW rewrite match successes           : 0
% 0.78/0.97  # Condensation attempts                : 0
% 0.78/0.97  # Condensation successes               : 0
% 0.78/0.97  # Termbank termtop insertions          : 339
% 0.78/0.97  # Search garbage collected termcells   : 2
% 0.78/0.97  
% 0.78/0.97  # -------------------------------------------------
% 0.78/0.97  # User time                : 0.002 s
% 0.78/0.97  # System time              : 0.002 s
% 0.78/0.97  # Total time               : 0.004 s
% 0.78/0.97  # Maximum resident set size: 1536 pages
% 0.78/0.97  
% 0.78/0.97  # -------------------------------------------------
% 0.78/0.97  # User time                : 0.007 s
% 0.78/0.97  # System time              : 0.008 s
% 0.78/0.97  # Total time               : 0.014 s
% 0.78/0.97  # Maximum resident set size: 1684 pages
% 0.78/0.97  % E---3.1 exiting
% 0.78/0.97  % E exiting
%------------------------------------------------------------------------------