TSTP Solution File: NUM020-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : NUM020-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 18:45:47 EDT 2023

% Result   : Timeout 408.37s 300.16s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   18 (  10 unt;   0 nHn;  11 RR)
%            Number of literals    :   28 (   0 equ;  12 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   27 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(symmetry,axiom,
    ( equalish(X2,X1)
    | ~ equalish(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.Ue7ZDsuvzo/E---3.1_17541.p',symmetry) ).

cnf(successor_substitution,axiom,
    ( equalish(successor(X1),successor(X2))
    | ~ equalish(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.Ue7ZDsuvzo/E---3.1_17541.p',successor_substitution) ).

cnf(adding_zero,axiom,
    equalish(add(X1,n0),X1),
    file('/export/starexec/sandbox/tmp/tmp.Ue7ZDsuvzo/E---3.1_17541.p',adding_zero) ).

cnf(transitivity,axiom,
    ( equalish(X1,X3)
    | ~ equalish(X1,X2)
    | ~ equalish(X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.Ue7ZDsuvzo/E---3.1_17541.p',transitivity) ).

cnf(addition,axiom,
    equalish(add(X1,successor(X2)),successor(add(X1,X2))),
    file('/export/starexec/sandbox/tmp/tmp.Ue7ZDsuvzo/E---3.1_17541.p',addition) ).

cnf(deny_addition_lemma,negated_conjecture,
    ~ equalish(add(a,successor(n0)),successor(a)),
    file('/export/starexec/sandbox/tmp/tmp.Ue7ZDsuvzo/E---3.1_17541.p',deny_addition_lemma) ).

cnf(c_0_6,axiom,
    ( equalish(X2,X1)
    | ~ equalish(X1,X2) ),
    symmetry ).

cnf(c_0_7,axiom,
    ( equalish(successor(X1),successor(X2))
    | ~ equalish(X1,X2) ),
    successor_substitution ).

cnf(c_0_8,axiom,
    equalish(add(X1,n0),X1),
    adding_zero ).

cnf(c_0_9,plain,
    ( equalish(successor(X1),successor(X2))
    | ~ equalish(X2,X1) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,plain,
    equalish(X1,add(X1,n0)),
    inference(spm,[status(thm)],[c_0_6,c_0_8]) ).

cnf(c_0_11,axiom,
    ( equalish(X1,X3)
    | ~ equalish(X1,X2)
    | ~ equalish(X2,X3) ),
    transitivity ).

cnf(c_0_12,plain,
    equalish(successor(add(X1,n0)),successor(X1)),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,plain,
    ( equalish(X1,successor(X2))
    | ~ equalish(X1,successor(add(X2,n0))) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_14,axiom,
    equalish(add(X1,successor(X2)),successor(add(X1,X2))),
    addition ).

cnf(c_0_15,negated_conjecture,
    ~ equalish(add(a,successor(n0)),successor(a)),
    deny_addition_lemma ).

cnf(c_0_16,plain,
    equalish(add(X1,successor(n0)),successor(X1)),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_17,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : NUM020-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.13/0.14  % Command    : run_E %s %d THM
% 0.14/0.36  % Computer : n002.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 2400
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Mon Oct  2 15:10:59 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  Running first-order theorem proving
% 0.21/0.50  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.Ue7ZDsuvzo/E---3.1_17541.p
% 408.37/300.16  # Version: 3.1pre001
% 408.37/300.16  # Preprocessing class: FSMSSMSSSSSNFFN.
% 408.37/300.16  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 408.37/300.16  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 408.37/300.16  # Starting new_bool_3 with 300s (1) cores
% 408.37/300.16  # Starting new_bool_1 with 300s (1) cores
% 408.37/300.16  # Starting sh5l with 300s (1) cores
% 408.37/300.16  # new_bool_3 with pid 17703 completed with status 0
% 408.37/300.16  # Result found by new_bool_3
% 408.37/300.16  # Preprocessing class: FSMSSMSSSSSNFFN.
% 408.37/300.16  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 408.37/300.16  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 408.37/300.16  # Starting new_bool_3 with 300s (1) cores
% 408.37/300.16  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 408.37/300.16  # Search class: FHUNS-FFSF21-SFFFFFNN
% 408.37/300.16  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 408.37/300.16  # Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 408.37/300.16  # G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with pid 17707 completed with status 0
% 408.37/300.16  # Result found by G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN
% 408.37/300.16  # Preprocessing class: FSMSSMSSSSSNFFN.
% 408.37/300.16  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 408.37/300.16  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 408.37/300.16  # Starting new_bool_3 with 300s (1) cores
% 408.37/300.16  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 408.37/300.16  # Search class: FHUNS-FFSF21-SFFFFFNN
% 408.37/300.16  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 408.37/300.16  # Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 408.37/300.16  # Preprocessing time       : 0.001 s
% 408.37/300.16  # Presaturation interreduction done
% 408.37/300.16  
% 408.37/300.16  # Proof found!
% 408.37/300.16  # SZS status Unsatisfiable
% 408.37/300.16  # SZS output start CNFRefutation
% See solution above
% 408.37/300.16  # Parsed axioms                        : 12
% 408.37/300.16  # Removed by relevancy pruning/SinE    : 3
% 408.37/300.16  # Initial clauses                      : 9
% 408.37/300.16  # Removed in clause preprocessing      : 0
% 408.37/300.16  # Initial clauses in saturation        : 9
% 408.37/300.16  # Processed clauses                    : 78
% 408.37/300.16  # ...of these trivial                  : 6
% 408.37/300.16  # ...subsumed                          : 16
% 408.37/300.16  # ...remaining for further processing  : 56
% 408.37/300.16  # Other redundant clauses eliminated   : 0
% 408.37/300.16  # Clauses deleted for lack of memory   : 0
% 408.37/300.16  # Backward-subsumed                    : 0
% 408.37/300.16  # Backward-rewritten                   : 1
% 408.37/300.16  # Generated clauses                    : 347
% 408.37/300.16  # ...of the previous two non-redundant : 283
% 408.37/300.16  # ...aggressively subsumed             : 0
% 408.37/300.16  # Contextual simplify-reflections      : 0
% 408.37/300.16  # Paramodulations                      : 347
% 408.37/300.16  # Factorizations                       : 0
% 408.37/300.16  # NegExts                              : 0
% 408.37/300.16  # Equation resolutions                 : 0
% 408.37/300.16  # Total rewrite steps                  : 56
% 408.37/300.16  # Propositional unsat checks           : 0
% 408.37/300.16  #    Propositional check models        : 0
% 408.37/300.16  #    Propositional check unsatisfiable : 0
% 408.37/300.16  #    Propositional clauses             : 0
% 408.37/300.16  #    Propositional clauses after purity: 0
% 408.37/300.16  #    Propositional unsat core size     : 0
% 408.37/300.16  #    Propositional preprocessing time  : 0.000
% 408.37/300.16  #    Propositional encoding time       : 0.000
% 408.37/300.16  #    Propositional solver time         : 0.000
% 408.37/300.16  #    Success case prop preproc time    : 0.000
% 408.37/300.16  #    Success case prop encoding time   : 0.000
% 408.37/300.16  #    Success case prop solver time     : 0.000
% 408.37/300.16  # Current number of processed clauses  : 46
% 408.37/300.16  #    Positive orientable unit clauses  : 22
% 408.37/300.16  #    Positive unorientable unit clauses: 0
% 408.37/300.16  #    Negative unit clauses             : 1
% 408.37/300.16  #    Non-unit-clauses                  : 23
% 408.37/300.16  # Current number of unprocessed clauses: 223
% 408.37/300.16  # ...number of literals in the above   : 422
% 408.37/300.16  # Current number of archived formulas  : 0
% 408.37/300.16  # Current number of archived clauses   : 10
% 408.37/300.16  # Clause-clause subsumption calls (NU) : 158
% 408.37/300.16  # Rec. Clause-clause subsumption calls : 158
% 408.37/300.16  # Non-unit clause-clause subsumptions  : 16
% 408.37/300.16  # Unit Clause-clause subsumption calls : 2
% 408.37/300.16  # Rewrite failures with RHS unbound    : 0
% 408.37/300.16  # BW rewrite match attempts            : 27
% 408.37/300.16  # BW rewrite match successes           : 1
% 408.37/300.16  # Condensation attempts                : 0
% 408.37/300.16  # Condensation successes               : 0
% 408.37/300.16  # Termbank termtop insertions          : 4534
% 408.37/300.16  
% 408.37/300.16  # -------------------------------------------------
% 408.37/300.16  # User time                : 0.009 s
% 408.37/300.16  # System time              : 0.000 s
% 408.37/300.16  # Total time               : 0.009 s
% 408.37/300.16  # Maximum resident set size: 1644 pages
% 408.37/300.16  
% 408.37/300.16  # -------------------------------------------------
% 408.37/300.16  # User time                : 0.011 s
% 408.37/300.16  # System time              : 0.001 s
% 408.37/300.16  # Total time               : 0.012 s
% 408.37/300.16  # Maximum resident set size: 1680 pages
% 408.37/300.16  % E---3.1 exiting
% 408.37/300.16  % E---3.1 exiting
%------------------------------------------------------------------------------