TSTP Solution File: SYN345-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SYN345-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n009.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 20:14:31 EDT 2023

% Result   : Unsatisfiable 0.20s 0.48s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   25 (   5 unt;  11 nHn;  13 RR)
%            Number of literals    :   59 (   0 equ;  25 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   33 (  15 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause7,negated_conjecture,
    ( f(a,a,b)
    | f(a,b,b)
    | ~ f(b,b,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.kgF5VxRgyy/E---3.1_12842.p',clause7) ).

cnf(clause5,negated_conjecture,
    ( f(X1,X2,z(X1,X2))
    | f(a,a,b)
    | f(a,b,b) ),
    file('/export/starexec/sandbox2/tmp/tmp.kgF5VxRgyy/E---3.1_12842.p',clause5) ).

cnf(clause1,negated_conjecture,
    ( f(a,b,X1)
    | f(a,b,b)
    | ~ f(a,a,b) ),
    file('/export/starexec/sandbox2/tmp/tmp.kgF5VxRgyy/E---3.1_12842.p',clause1) ).

cnf(clause4,negated_conjecture,
    ( f(a,a,b)
    | ~ f(X1,z(X1,X2),z(X1,X2))
    | ~ f(a,b,b) ),
    file('/export/starexec/sandbox2/tmp/tmp.kgF5VxRgyy/E---3.1_12842.p',clause4) ).

cnf(clause3,negated_conjecture,
    ( f(b,X1,X2)
    | f(a,a,b)
    | ~ f(a,b,b) ),
    file('/export/starexec/sandbox2/tmp/tmp.kgF5VxRgyy/E---3.1_12842.p',clause3) ).

cnf(clause8,negated_conjecture,
    ( ~ f(b,b,X1)
    | ~ f(a,a,b)
    | ~ f(a,b,b) ),
    file('/export/starexec/sandbox2/tmp/tmp.kgF5VxRgyy/E---3.1_12842.p',clause8) ).

cnf(clause6,negated_conjecture,
    ( f(X1,X2,z(X1,X2))
    | ~ f(a,a,b)
    | ~ f(a,b,b) ),
    file('/export/starexec/sandbox2/tmp/tmp.kgF5VxRgyy/E---3.1_12842.p',clause6) ).

cnf(c_0_7,negated_conjecture,
    ( f(a,a,b)
    | f(a,b,b)
    | ~ f(b,b,X1) ),
    clause7 ).

cnf(c_0_8,negated_conjecture,
    ( f(X1,X2,z(X1,X2))
    | f(a,a,b)
    | f(a,b,b) ),
    clause5 ).

cnf(c_0_9,negated_conjecture,
    ( f(a,b,X1)
    | f(a,b,b)
    | ~ f(a,a,b) ),
    clause1 ).

cnf(c_0_10,negated_conjecture,
    ( f(a,b,b)
    | f(a,a,b) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    ( f(a,b,b)
    | f(a,b,X1) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_12,negated_conjecture,
    ( f(a,a,b)
    | ~ f(X1,z(X1,X2),z(X1,X2))
    | ~ f(a,b,b) ),
    clause4 ).

cnf(c_0_13,negated_conjecture,
    f(a,b,b),
    inference(ef,[status(thm)],[c_0_11]) ).

cnf(c_0_14,negated_conjecture,
    ( f(b,X1,X2)
    | f(a,a,b)
    | ~ f(a,b,b) ),
    clause3 ).

cnf(c_0_15,negated_conjecture,
    ( ~ f(b,b,X1)
    | ~ f(a,a,b)
    | ~ f(a,b,b) ),
    clause8 ).

cnf(c_0_16,negated_conjecture,
    ( f(a,a,b)
    | ~ f(X1,z(X1,X2),z(X1,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]) ).

cnf(c_0_17,negated_conjecture,
    ( f(a,a,b)
    | f(b,X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_13])]) ).

cnf(c_0_18,negated_conjecture,
    ( f(X1,X2,z(X1,X2))
    | ~ f(a,a,b)
    | ~ f(a,b,b) ),
    clause6 ).

cnf(c_0_19,negated_conjecture,
    ( ~ f(a,a,b)
    | ~ f(b,b,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_13])]) ).

cnf(c_0_20,negated_conjecture,
    f(a,a,b),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_21,negated_conjecture,
    ( f(X1,X2,z(X1,X2))
    | ~ f(a,a,b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_13])]) ).

cnf(c_0_22,negated_conjecture,
    ~ f(b,b,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]) ).

cnf(c_0_23,negated_conjecture,
    f(X1,X2,z(X1,X2)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_20])]) ).

cnf(c_0_24,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_22,c_0_23]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYN345-1 : TPTP v8.1.2. Released v1.2.0.
% 0.06/0.13  % Command    : run_E %s %d THM
% 0.14/0.34  % Computer : n009.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 2400
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Oct  2 18:15:29 EDT 2023
% 0.14/0.34  % CPUTime    : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  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.kgF5VxRgyy/E---3.1_12842.p
% 0.20/0.47  # Version: 3.1pre001
% 0.20/0.47  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.47  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.47  # Starting sh5l with 300s (1) cores
% 0.20/0.47  # new_bool_1 with pid 12922 completed with status 0
% 0.20/0.47  # Result found by new_bool_1
% 0.20/0.47  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.47  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.47  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.47  # Search class: FGHNF-FFSF22-SFFFFFNN
% 0.20/0.47  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.47  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.47  # SAT001_MinMin_p005000_rr_RG with pid 12927 completed with status 0
% 0.20/0.47  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.47  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.48  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.48  # Search class: FGHNF-FFSF22-SFFFFFNN
% 0.20/0.48  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.48  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.48  # Preprocessing time       : 0.001 s
% 0.20/0.48  # Presaturation interreduction done
% 0.20/0.48  
% 0.20/0.48  # Proof found!
% 0.20/0.48  # SZS status Unsatisfiable
% 0.20/0.48  # SZS output start CNFRefutation
% See solution above
% 0.20/0.48  # Parsed axioms                        : 8
% 0.20/0.48  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.48  # Initial clauses                      : 8
% 0.20/0.48  # Removed in clause preprocessing      : 0
% 0.20/0.48  # Initial clauses in saturation        : 8
% 0.20/0.48  # Processed clauses                    : 26
% 0.20/0.48  # ...of these trivial                  : 0
% 0.20/0.48  # ...subsumed                          : 0
% 0.20/0.48  # ...remaining for further processing  : 26
% 0.20/0.48  # Other redundant clauses eliminated   : 0
% 0.20/0.48  # Clauses deleted for lack of memory   : 0
% 0.20/0.48  # Backward-subsumed                    : 5
% 0.20/0.48  # Backward-rewritten                   : 9
% 0.20/0.48  # Generated clauses                    : 13
% 0.20/0.48  # ...of the previous two non-redundant : 14
% 0.20/0.48  # ...aggressively subsumed             : 0
% 0.20/0.48  # Contextual simplify-reflections      : 0
% 0.20/0.48  # Paramodulations                      : 11
% 0.20/0.48  # Factorizations                       : 2
% 0.20/0.48  # NegExts                              : 0
% 0.20/0.48  # Equation resolutions                 : 0
% 0.20/0.48  # Total rewrite steps                  : 9
% 0.20/0.48  # Propositional unsat checks           : 0
% 0.20/0.48  #    Propositional check models        : 0
% 0.20/0.48  #    Propositional check unsatisfiable : 0
% 0.20/0.48  #    Propositional clauses             : 0
% 0.20/0.48  #    Propositional clauses after purity: 0
% 0.20/0.48  #    Propositional unsat core size     : 0
% 0.20/0.48  #    Propositional preprocessing time  : 0.000
% 0.20/0.48  #    Propositional encoding time       : 0.000
% 0.20/0.48  #    Propositional solver time         : 0.000
% 0.20/0.48  #    Success case prop preproc time    : 0.000
% 0.20/0.48  #    Success case prop encoding time   : 0.000
% 0.20/0.48  #    Success case prop solver time     : 0.000
% 0.20/0.48  # Current number of processed clauses  : 4
% 0.20/0.48  #    Positive orientable unit clauses  : 3
% 0.20/0.48  #    Positive unorientable unit clauses: 0
% 0.20/0.48  #    Negative unit clauses             : 1
% 0.20/0.48  #    Non-unit-clauses                  : 0
% 0.20/0.48  # Current number of unprocessed clauses: 0
% 0.20/0.48  # ...number of literals in the above   : 0
% 0.20/0.48  # Current number of archived formulas  : 0
% 0.20/0.48  # Current number of archived clauses   : 22
% 0.20/0.48  # Clause-clause subsumption calls (NU) : 4
% 0.20/0.48  # Rec. Clause-clause subsumption calls : 4
% 0.20/0.48  # Non-unit clause-clause subsumptions  : 3
% 0.20/0.48  # Unit Clause-clause subsumption calls : 2
% 0.20/0.48  # Rewrite failures with RHS unbound    : 0
% 0.20/0.48  # BW rewrite match attempts            : 6
% 0.20/0.48  # BW rewrite match successes           : 2
% 0.20/0.48  # Condensation attempts                : 0
% 0.20/0.48  # Condensation successes               : 0
% 0.20/0.48  # Termbank termtop insertions          : 667
% 0.20/0.48  
% 0.20/0.48  # -------------------------------------------------
% 0.20/0.48  # User time                : 0.002 s
% 0.20/0.48  # System time              : 0.002 s
% 0.20/0.48  # Total time               : 0.004 s
% 0.20/0.48  # Maximum resident set size: 1644 pages
% 0.20/0.48  
% 0.20/0.48  # -------------------------------------------------
% 0.20/0.48  # User time                : 0.004 s
% 0.20/0.48  # System time              : 0.003 s
% 0.20/0.48  # Total time               : 0.007 s
% 0.20/0.48  # Maximum resident set size: 1676 pages
% 0.20/0.48  % E---3.1 exiting
% 0.20/0.48  % E---3.1 exiting
%------------------------------------------------------------------------------