TSTP Solution File: GRP188-2 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GRP188-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n028.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 17:46:35 EDT 2023

% Result   : Unsatisfiable 0.15s 0.42s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   14 (  14 unt;   0 nHn;   4 RR)
%            Number of literals    :   14 (  13 equ;   3 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   :   20 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(lub_absorbtion,axiom,
    least_upper_bound(X1,greatest_lower_bound(X1,X2)) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.hF503aCVYL/E---3.1_30976.p',lub_absorbtion) ).

cnf(symmetry_of_glb,axiom,
    greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1),
    file('/export/starexec/sandbox2/tmp/tmp.hF503aCVYL/E---3.1_30976.p',symmetry_of_glb) ).

cnf(prove_p38a,negated_conjecture,
    least_upper_bound(b,least_upper_bound(a,b)) != least_upper_bound(a,b),
    file('/export/starexec/sandbox2/tmp/tmp.hF503aCVYL/E---3.1_30976.p',prove_p38a) ).

cnf(symmetry_of_lub,axiom,
    least_upper_bound(X1,X2) = least_upper_bound(X2,X1),
    file('/export/starexec/sandbox2/tmp/tmp.hF503aCVYL/E---3.1_30976.p',symmetry_of_lub) ).

cnf(glb_absorbtion,axiom,
    greatest_lower_bound(X1,least_upper_bound(X1,X2)) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.hF503aCVYL/E---3.1_30976.p',glb_absorbtion) ).

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

cnf(c_0_6,axiom,
    greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1),
    symmetry_of_glb ).

cnf(c_0_7,negated_conjecture,
    least_upper_bound(b,least_upper_bound(a,b)) != least_upper_bound(a,b),
    prove_p38a ).

cnf(c_0_8,axiom,
    least_upper_bound(X1,X2) = least_upper_bound(X2,X1),
    symmetry_of_lub ).

cnf(c_0_9,plain,
    least_upper_bound(X1,greatest_lower_bound(X2,X1)) = X1,
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_10,axiom,
    greatest_lower_bound(X1,least_upper_bound(X1,X2)) = X1,
    glb_absorbtion ).

cnf(c_0_11,negated_conjecture,
    least_upper_bound(b,least_upper_bound(b,a)) != least_upper_bound(b,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8]),c_0_8]) ).

cnf(c_0_12,plain,
    least_upper_bound(X1,least_upper_bound(X1,X2)) = least_upper_bound(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_8]) ).

cnf(c_0_13,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : GRP188-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.02/0.10  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n028.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 2400
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Tue Oct  3 02:26:52 EDT 2023
% 0.10/0.30  % CPUTime    : 
% 0.15/0.41  Running first-order model finding
% 0.15/0.41  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.hF503aCVYL/E---3.1_30976.p
% 0.15/0.42  # Version: 3.1pre001
% 0.15/0.42  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.42  # Starting sh5l with 300s (1) cores
% 0.15/0.42  # new_bool_3 with pid 31054 completed with status 0
% 0.15/0.42  # Result found by new_bool_3
% 0.15/0.42  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.42  # Search class: FUUPM-FFSF21-SFFFFFNN
% 0.15/0.42  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.42  # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.15/0.42  # U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 31059 completed with status 0
% 0.15/0.42  # Result found by U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.42  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.42  # Search class: FUUPM-FFSF21-SFFFFFNN
% 0.15/0.42  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.42  # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.15/0.42  # Preprocessing time       : 0.001 s
% 0.15/0.42  # Presaturation interreduction done
% 0.15/0.42  
% 0.15/0.42  # Proof found!
% 0.15/0.42  # SZS status Unsatisfiable
% 0.15/0.42  # SZS output start CNFRefutation
% See solution above
% 0.15/0.42  # Parsed axioms                        : 19
% 0.15/0.42  # Removed by relevancy pruning/SinE    : 0
% 0.15/0.42  # Initial clauses                      : 19
% 0.15/0.42  # Removed in clause preprocessing      : 0
% 0.15/0.42  # Initial clauses in saturation        : 19
% 0.15/0.42  # Processed clauses                    : 37
% 0.15/0.42  # ...of these trivial                  : 2
% 0.15/0.42  # ...subsumed                          : 0
% 0.15/0.42  # ...remaining for further processing  : 35
% 0.15/0.42  # Other redundant clauses eliminated   : 0
% 0.15/0.42  # Clauses deleted for lack of memory   : 0
% 0.15/0.42  # Backward-subsumed                    : 0
% 0.15/0.42  # Backward-rewritten                   : 2
% 0.15/0.42  # Generated clauses                    : 38
% 0.15/0.42  # ...of the previous two non-redundant : 10
% 0.15/0.42  # ...aggressively subsumed             : 0
% 0.15/0.42  # Contextual simplify-reflections      : 0
% 0.15/0.42  # Paramodulations                      : 38
% 0.15/0.42  # Factorizations                       : 0
% 0.15/0.42  # NegExts                              : 0
% 0.15/0.42  # Equation resolutions                 : 0
% 0.15/0.42  # Total rewrite steps                  : 27
% 0.15/0.42  # Propositional unsat checks           : 0
% 0.15/0.42  #    Propositional check models        : 0
% 0.15/0.42  #    Propositional check unsatisfiable : 0
% 0.15/0.42  #    Propositional clauses             : 0
% 0.15/0.42  #    Propositional clauses after purity: 0
% 0.15/0.42  #    Propositional unsat core size     : 0
% 0.15/0.42  #    Propositional preprocessing time  : 0.000
% 0.15/0.42  #    Propositional encoding time       : 0.000
% 0.15/0.42  #    Propositional solver time         : 0.000
% 0.15/0.42  #    Success case prop preproc time    : 0.000
% 0.15/0.42  #    Success case prop encoding time   : 0.000
% 0.15/0.42  #    Success case prop solver time     : 0.000
% 0.15/0.42  # Current number of processed clauses  : 14
% 0.15/0.42  #    Positive orientable unit clauses  : 12
% 0.15/0.42  #    Positive unorientable unit clauses: 2
% 0.15/0.42  #    Negative unit clauses             : 0
% 0.15/0.42  #    Non-unit-clauses                  : 0
% 0.15/0.42  # Current number of unprocessed clauses: 11
% 0.15/0.42  # ...number of literals in the above   : 11
% 0.15/0.42  # Current number of archived formulas  : 0
% 0.15/0.42  # Current number of archived clauses   : 21
% 0.15/0.42  # Clause-clause subsumption calls (NU) : 0
% 0.15/0.42  # Rec. Clause-clause subsumption calls : 0
% 0.15/0.42  # Non-unit clause-clause subsumptions  : 0
% 0.15/0.42  # Unit Clause-clause subsumption calls : 0
% 0.15/0.42  # Rewrite failures with RHS unbound    : 0
% 0.15/0.42  # BW rewrite match attempts            : 43
% 0.15/0.42  # BW rewrite match successes           : 35
% 0.15/0.42  # Condensation attempts                : 0
% 0.15/0.42  # Condensation successes               : 0
% 0.15/0.42  # Termbank termtop insertions          : 414
% 0.15/0.42  
% 0.15/0.42  # -------------------------------------------------
% 0.15/0.42  # User time                : 0.002 s
% 0.15/0.42  # System time              : 0.002 s
% 0.15/0.42  # Total time               : 0.003 s
% 0.15/0.42  # Maximum resident set size: 1616 pages
% 0.15/0.42  
% 0.15/0.42  # -------------------------------------------------
% 0.15/0.42  # User time                : 0.002 s
% 0.15/0.42  # System time              : 0.004 s
% 0.15/0.42  # Total time               : 0.006 s
% 0.15/0.42  # Maximum resident set size: 1672 pages
% 0.15/0.42  % E---3.1 exiting
%------------------------------------------------------------------------------