TSTP Solution File: FLD021-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : FLD021-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n004.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 17:29:58 EDT 2023

% Result   : Unsatisfiable 0.22s 0.53s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   17 (   9 unt;   0 nHn;  17 RR)
%            Number of literals    :   29 (   0 equ;  14 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   16 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(existence_of_identity_addition,axiom,
    ( equalish(add(additive_identity,X1),X1)
    | ~ defined(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.Hj6kjPi2fX/E---3.1_10237.p',existence_of_identity_addition) ).

cnf(a_is_defined,hypothesis,
    defined(a),
    file('/export/starexec/sandbox/tmp/tmp.Hj6kjPi2fX/E---3.1_10237.p',a_is_defined) ).

cnf(compatibility_of_equality_and_addition,axiom,
    ( equalish(add(X1,X2),add(X3,X2))
    | ~ defined(X2)
    | ~ equalish(X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.Hj6kjPi2fX/E---3.1_10237.p',compatibility_of_equality_and_addition) ).

cnf(m_equals_additive_identity_3,negated_conjecture,
    equalish(m,additive_identity),
    file('/export/starexec/sandbox/tmp/tmp.Hj6kjPi2fX/E---3.1_10237.p',m_equals_additive_identity_3) ).

cnf(transitivity_of_equality,axiom,
    ( equalish(X1,X2)
    | ~ equalish(X1,X3)
    | ~ equalish(X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.Hj6kjPi2fX/E---3.1_10237.p',transitivity_of_equality) ).

cnf(add_not_equal_to_a_4,negated_conjecture,
    ~ equalish(add(m,a),a),
    file('/export/starexec/sandbox/tmp/tmp.Hj6kjPi2fX/E---3.1_10237.p',add_not_equal_to_a_4) ).

cnf(c_0_6,axiom,
    ( equalish(add(additive_identity,X1),X1)
    | ~ defined(X1) ),
    existence_of_identity_addition ).

cnf(c_0_7,hypothesis,
    defined(a),
    a_is_defined ).

cnf(c_0_8,axiom,
    ( equalish(add(X1,X2),add(X3,X2))
    | ~ defined(X2)
    | ~ equalish(X1,X3) ),
    compatibility_of_equality_and_addition ).

cnf(c_0_9,negated_conjecture,
    equalish(m,additive_identity),
    m_equals_additive_identity_3 ).

cnf(c_0_10,axiom,
    ( equalish(X1,X2)
    | ~ equalish(X1,X3)
    | ~ equalish(X3,X2) ),
    transitivity_of_equality ).

cnf(c_0_11,hypothesis,
    equalish(add(additive_identity,a),a),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_12,negated_conjecture,
    ( equalish(add(m,X1),add(additive_identity,X1))
    | ~ defined(X1) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,hypothesis,
    ( equalish(X1,a)
    | ~ equalish(X1,add(additive_identity,a)) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,hypothesis,
    equalish(add(m,a),add(additive_identity,a)),
    inference(spm,[status(thm)],[c_0_12,c_0_7]) ).

cnf(c_0_15,negated_conjecture,
    ~ equalish(add(m,a),a),
    add_not_equal_to_a_4 ).

cnf(c_0_16,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : FLD021-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.15  % Command    : run_E %s %d THM
% 0.15/0.36  % Computer : n004.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 2400
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon Oct  2 23:02:30 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.51  Running first-order theorem proving
% 0.22/0.51  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.Hj6kjPi2fX/E---3.1_10237.p
% 0.22/0.53  # Version: 3.1pre001
% 0.22/0.53  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.53  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.53  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.53  # Starting sh5l with 300s (1) cores
% 0.22/0.53  # new_bool_1 with pid 10400 completed with status 0
% 0.22/0.53  # Result found by new_bool_1
% 0.22/0.53  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.53  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.53  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.53  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.53  # Search class: FGUNF-FFMS22-SFFFFFNN
% 0.22/0.53  # partial match(1): FGUNF-FFMS21-SFFFFFNN
% 0.22/0.53  # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.53  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 135s (1) cores
% 0.22/0.53  # G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with pid 10409 completed with status 0
% 0.22/0.53  # Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN
% 0.22/0.53  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.53  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.53  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.53  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.53  # Search class: FGUNF-FFMS22-SFFFFFNN
% 0.22/0.53  # partial match(1): FGUNF-FFMS21-SFFFFFNN
% 0.22/0.53  # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.53  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 135s (1) cores
% 0.22/0.53  # Preprocessing time       : 0.001 s
% 0.22/0.53  # Presaturation interreduction done
% 0.22/0.53  
% 0.22/0.53  # Proof found!
% 0.22/0.53  # SZS status Unsatisfiable
% 0.22/0.53  # SZS output start CNFRefutation
% See solution above
% 0.22/0.53  # Parsed axioms                        : 31
% 0.22/0.53  # Removed by relevancy pruning/SinE    : 7
% 0.22/0.53  # Initial clauses                      : 24
% 0.22/0.53  # Removed in clause preprocessing      : 0
% 0.22/0.53  # Initial clauses in saturation        : 24
% 0.22/0.53  # Processed clauses                    : 188
% 0.22/0.53  # ...of these trivial                  : 1
% 0.22/0.53  # ...subsumed                          : 52
% 0.22/0.53  # ...remaining for further processing  : 135
% 0.22/0.53  # Other redundant clauses eliminated   : 0
% 0.22/0.53  # Clauses deleted for lack of memory   : 0
% 0.22/0.53  # Backward-subsumed                    : 0
% 0.22/0.53  # Backward-rewritten                   : 0
% 0.22/0.53  # Generated clauses                    : 483
% 0.22/0.53  # ...of the previous two non-redundant : 401
% 0.22/0.53  # ...aggressively subsumed             : 0
% 0.22/0.53  # Contextual simplify-reflections      : 0
% 0.22/0.53  # Paramodulations                      : 481
% 0.22/0.53  # Factorizations                       : 2
% 0.22/0.53  # NegExts                              : 0
% 0.22/0.53  # Equation resolutions                 : 0
% 0.22/0.53  # Total rewrite steps                  : 97
% 0.22/0.53  # Propositional unsat checks           : 0
% 0.22/0.53  #    Propositional check models        : 0
% 0.22/0.53  #    Propositional check unsatisfiable : 0
% 0.22/0.53  #    Propositional clauses             : 0
% 0.22/0.53  #    Propositional clauses after purity: 0
% 0.22/0.53  #    Propositional unsat core size     : 0
% 0.22/0.53  #    Propositional preprocessing time  : 0.000
% 0.22/0.53  #    Propositional encoding time       : 0.000
% 0.22/0.53  #    Propositional solver time         : 0.000
% 0.22/0.53  #    Success case prop preproc time    : 0.000
% 0.22/0.53  #    Success case prop encoding time   : 0.000
% 0.22/0.53  #    Success case prop solver time     : 0.000
% 0.22/0.53  # Current number of processed clauses  : 111
% 0.22/0.53  #    Positive orientable unit clauses  : 28
% 0.22/0.53  #    Positive unorientable unit clauses: 0
% 0.22/0.53  #    Negative unit clauses             : 1
% 0.22/0.53  #    Non-unit-clauses                  : 82
% 0.22/0.53  # Current number of unprocessed clauses: 257
% 0.22/0.53  # ...number of literals in the above   : 738
% 0.22/0.53  # Current number of archived formulas  : 0
% 0.22/0.53  # Current number of archived clauses   : 24
% 0.22/0.53  # Clause-clause subsumption calls (NU) : 961
% 0.22/0.53  # Rec. Clause-clause subsumption calls : 905
% 0.22/0.53  # Non-unit clause-clause subsumptions  : 52
% 0.22/0.53  # Unit Clause-clause subsumption calls : 0
% 0.22/0.53  # Rewrite failures with RHS unbound    : 0
% 0.22/0.53  # BW rewrite match attempts            : 0
% 0.22/0.53  # BW rewrite match successes           : 0
% 0.22/0.53  # Condensation attempts                : 0
% 0.22/0.53  # Condensation successes               : 0
% 0.22/0.53  # Termbank termtop insertions          : 6044
% 0.22/0.53  
% 0.22/0.53  # -------------------------------------------------
% 0.22/0.53  # User time                : 0.013 s
% 0.22/0.53  # System time              : 0.002 s
% 0.22/0.53  # Total time               : 0.015 s
% 0.22/0.53  # Maximum resident set size: 1792 pages
% 0.22/0.53  
% 0.22/0.53  # -------------------------------------------------
% 0.22/0.53  # User time                : 0.016 s
% 0.22/0.53  # System time              : 0.003 s
% 0.22/0.53  # Total time               : 0.019 s
% 0.22/0.53  # Maximum resident set size: 1692 pages
% 0.22/0.53  % E---3.1 exiting
% 0.22/0.54  % E---3.1 exiting
%------------------------------------------------------------------------------