TSTP Solution File: GRP189-2 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : GRP189-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n029.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 17:39:14 EDT 2023

% Result   : Unsatisfiable 0.18s 0.45s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    7 (   7 unt;   0 nHn;   3 RR)
%            Number of literals    :    7 (   6 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_p38b,negated_conjecture,
    greatest_lower_bound(b,least_upper_bound(a,b)) != b,
    file('/export/starexec/sandbox2/tmp/tmp.eGeeiAvm6i/E---3.1_13088.p',prove_p38b) ).

cnf(symmetry_of_lub,axiom,
    least_upper_bound(X1,X2) = least_upper_bound(X2,X1),
    file('/export/starexec/sandbox2/tmp/tmp.eGeeiAvm6i/E---3.1_13088.p',symmetry_of_lub) ).

cnf(glb_absorbtion,axiom,
    greatest_lower_bound(X1,least_upper_bound(X1,X2)) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.eGeeiAvm6i/E---3.1_13088.p',glb_absorbtion) ).

cnf(c_0_3,negated_conjecture,
    greatest_lower_bound(b,least_upper_bound(a,b)) != b,
    prove_p38b ).

cnf(c_0_4,axiom,
    least_upper_bound(X1,X2) = least_upper_bound(X2,X1),
    symmetry_of_lub ).

cnf(c_0_5,axiom,
    greatest_lower_bound(X1,least_upper_bound(X1,X2)) = X1,
    glb_absorbtion ).

cnf(c_0_6,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_4]),c_0_5])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : GRP189-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.09/0.12  % Command    : run_E %s %d THM
% 0.12/0.32  % Computer : n029.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 2400
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Tue Oct  3 03:09:37 EDT 2023
% 0.12/0.32  % CPUTime    : 
% 0.18/0.44  Running first-order theorem proving
% 0.18/0.44  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.eGeeiAvm6i/E---3.1_13088.p
% 0.18/0.45  # Version: 3.1pre001
% 0.18/0.45  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.45  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.45  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.45  # Starting sh5l with 300s (1) cores
% 0.18/0.45  # new_bool_3 with pid 13167 completed with status 0
% 0.18/0.45  # Result found by new_bool_3
% 0.18/0.45  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.45  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.45  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.45  # Search class: FUUPM-FFSF21-SFFFFFNN
% 0.18/0.45  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.45  # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.18/0.45  # U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 13171 completed with status 0
% 0.18/0.45  # Result found by U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.18/0.45  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.45  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.45  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.45  # Search class: FUUPM-FFSF21-SFFFFFNN
% 0.18/0.45  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.45  # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.18/0.45  # Preprocessing time       : 0.001 s
% 0.18/0.45  # Presaturation interreduction done
% 0.18/0.45  
% 0.18/0.45  # Proof found!
% 0.18/0.45  # SZS status Unsatisfiable
% 0.18/0.45  # SZS output start CNFRefutation
% See solution above
% 0.18/0.45  # Parsed axioms                        : 19
% 0.18/0.45  # Removed by relevancy pruning/SinE    : 0
% 0.18/0.45  # Initial clauses                      : 19
% 0.18/0.45  # Removed in clause preprocessing      : 0
% 0.18/0.45  # Initial clauses in saturation        : 19
% 0.18/0.45  # Processed clauses                    : 11
% 0.18/0.45  # ...of these trivial                  : 0
% 0.18/0.45  # ...subsumed                          : 0
% 0.18/0.45  # ...remaining for further processing  : 11
% 0.18/0.45  # Other redundant clauses eliminated   : 0
% 0.18/0.45  # Clauses deleted for lack of memory   : 0
% 0.18/0.45  # Backward-subsumed                    : 0
% 0.18/0.45  # Backward-rewritten                   : 1
% 0.18/0.45  # Generated clauses                    : 0
% 0.18/0.45  # ...of the previous two non-redundant : 0
% 0.18/0.45  # ...aggressively subsumed             : 0
% 0.18/0.45  # Contextual simplify-reflections      : 0
% 0.18/0.45  # Paramodulations                      : 0
% 0.18/0.45  # Factorizations                       : 0
% 0.18/0.45  # NegExts                              : 0
% 0.18/0.45  # Equation resolutions                 : 0
% 0.18/0.45  # Total rewrite steps                  : 2
% 0.18/0.45  # Propositional unsat checks           : 0
% 0.18/0.45  #    Propositional check models        : 0
% 0.18/0.45  #    Propositional check unsatisfiable : 0
% 0.18/0.45  #    Propositional clauses             : 0
% 0.18/0.45  #    Propositional clauses after purity: 0
% 0.18/0.45  #    Propositional unsat core size     : 0
% 0.18/0.45  #    Propositional preprocessing time  : 0.000
% 0.18/0.45  #    Propositional encoding time       : 0.000
% 0.18/0.45  #    Propositional solver time         : 0.000
% 0.18/0.45  #    Success case prop preproc time    : 0.000
% 0.18/0.45  #    Success case prop encoding time   : 0.000
% 0.18/0.45  #    Success case prop solver time     : 0.000
% 0.18/0.45  # Current number of processed clauses  : 10
% 0.18/0.45  #    Positive orientable unit clauses  : 8
% 0.18/0.45  #    Positive unorientable unit clauses: 2
% 0.18/0.45  #    Negative unit clauses             : 0
% 0.18/0.45  #    Non-unit-clauses                  : 0
% 0.18/0.45  # Current number of unprocessed clauses: 8
% 0.18/0.45  # ...number of literals in the above   : 8
% 0.18/0.45  # Current number of archived formulas  : 0
% 0.18/0.45  # Current number of archived clauses   : 1
% 0.18/0.45  # Clause-clause subsumption calls (NU) : 0
% 0.18/0.45  # Rec. Clause-clause subsumption calls : 0
% 0.18/0.45  # Non-unit clause-clause subsumptions  : 0
% 0.18/0.45  # Unit Clause-clause subsumption calls : 0
% 0.18/0.45  # Rewrite failures with RHS unbound    : 0
% 0.18/0.45  # BW rewrite match attempts            : 19
% 0.18/0.45  # BW rewrite match successes           : 16
% 0.18/0.45  # Condensation attempts                : 0
% 0.18/0.45  # Condensation successes               : 0
% 0.18/0.45  # Termbank termtop insertions          : 182
% 0.18/0.45  
% 0.18/0.45  # -------------------------------------------------
% 0.18/0.45  # User time                : 0.001 s
% 0.18/0.45  # System time              : 0.001 s
% 0.18/0.45  # Total time               : 0.002 s
% 0.18/0.45  # Maximum resident set size: 1616 pages
% 0.18/0.45  
% 0.18/0.45  # -------------------------------------------------
% 0.18/0.45  # User time                : 0.003 s
% 0.18/0.45  # System time              : 0.002 s
% 0.18/0.45  # Total time               : 0.005 s
% 0.18/0.45  # Maximum resident set size: 1672 pages
% 0.18/0.45  % E---3.1 exiting
% 0.18/0.45  % E---3.1 exiting
%------------------------------------------------------------------------------