TSTP Solution File: SYN006-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYN006-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n003.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 : 300s
% WCLimit  : 300s
% DateTime : Sat May  4 10:04:47 EDT 2024

% Result   : Unsatisfiable 0.16s 0.43s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   26 (  14 unt;   6 nHn;  24 RR)
%            Number of literals    :   44 (   0 equ;  23 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   48 (  24 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_5,negated_conjecture,
    ~ q3(X1,g(X2)),
    file('/export/starexec/sandbox2/tmp/tmp.ExsWIYTp93/E---3.1_9553.p',clause_5) ).

cnf(clause_4,negated_conjecture,
    ( q3(f(X1),X2)
    | q4(X1,f(X2))
    | ~ p2(X1,f(X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp.ExsWIYTp93/E---3.1_9553.p',clause_4) ).

cnf(clause_1,negated_conjecture,
    ( q1(f(X1),X2)
    | q2(X1,f(X2))
    | ~ p1(X1,f(X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp.ExsWIYTp93/E---3.1_9553.p',clause_1) ).

cnf(clause_3,negated_conjecture,
    ~ q2(X1,f(X2)),
    file('/export/starexec/sandbox2/tmp/tmp.ExsWIYTp93/E---3.1_9553.p',clause_3) ).

cnf(clause_6,negated_conjecture,
    ~ q4(f(f(X1)),f(g(f(X2)))),
    file('/export/starexec/sandbox2/tmp/tmp.ExsWIYTp93/E---3.1_9553.p',clause_6) ).

cnf(clause_7,negated_conjecture,
    ( p2(f(X1),X2)
    | ~ q1(X1,f(X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp.ExsWIYTp93/E---3.1_9553.p',clause_7) ).

cnf(clause_2,negated_conjecture,
    p1(a,X1),
    file('/export/starexec/sandbox2/tmp/tmp.ExsWIYTp93/E---3.1_9553.p',clause_2) ).

cnf(c_0_7,negated_conjecture,
    ~ q3(X1,g(X2)),
    inference(fof_simplification,[status(thm)],[clause_5]) ).

cnf(c_0_8,negated_conjecture,
    ( q3(f(X1),X2)
    | q4(X1,f(X2))
    | ~ p2(X1,f(X2)) ),
    inference(fof_simplification,[status(thm)],[clause_4]) ).

cnf(c_0_9,negated_conjecture,
    ( q1(f(X1),X2)
    | q2(X1,f(X2))
    | ~ p1(X1,f(X2)) ),
    inference(fof_simplification,[status(thm)],[clause_1]) ).

cnf(c_0_10,negated_conjecture,
    ~ q2(X1,f(X2)),
    inference(fof_simplification,[status(thm)],[clause_3]) ).

cnf(c_0_11,negated_conjecture,
    ~ q4(f(f(X1)),f(g(f(X2)))),
    inference(fof_simplification,[status(thm)],[clause_6]) ).

cnf(c_0_12,negated_conjecture,
    ~ q3(X1,g(X2)),
    c_0_7 ).

cnf(c_0_13,negated_conjecture,
    ( q3(f(X1),X2)
    | q4(X1,f(X2))
    | ~ p2(X1,f(X2)) ),
    c_0_8 ).

cnf(c_0_14,negated_conjecture,
    ( p2(f(X1),X2)
    | ~ q1(X1,f(X2)) ),
    inference(fof_simplification,[status(thm)],[clause_7]) ).

cnf(c_0_15,negated_conjecture,
    ( q1(f(X1),X2)
    | q2(X1,f(X2))
    | ~ p1(X1,f(X2)) ),
    c_0_9 ).

cnf(c_0_16,negated_conjecture,
    ~ q2(X1,f(X2)),
    c_0_10 ).

cnf(c_0_17,negated_conjecture,
    ~ q4(f(f(X1)),f(g(f(X2)))),
    c_0_11 ).

cnf(c_0_18,negated_conjecture,
    ( q4(X1,f(g(X2)))
    | ~ p2(X1,f(g(X2))) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_19,negated_conjecture,
    ( p2(f(X1),X2)
    | ~ q1(X1,f(X2)) ),
    c_0_14 ).

cnf(c_0_20,negated_conjecture,
    ( q1(f(X1),X2)
    | ~ p1(X1,f(X2)) ),
    inference(sr,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_21,negated_conjecture,
    ~ p2(f(f(X1)),f(g(f(X2)))),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_22,negated_conjecture,
    ( p2(f(f(X1)),X2)
    | ~ p1(X1,f(f(X2))) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_23,negated_conjecture,
    ~ p1(X1,f(f(f(g(f(X2)))))),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_24,negated_conjecture,
    p1(a,X1),
    clause_2 ).

cnf(c_0_25,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_23,c_0_24]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SYN006-1 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.11  % Command    : run_E %s %d THM
% 0.11/0.31  % Computer : n003.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Fri May  3 11:46:35 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.16/0.42  Running first-order theorem proving
% 0.16/0.42  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.ExsWIYTp93/E---3.1_9553.p
% 0.16/0.43  # Version: 3.1.0
% 0.16/0.43  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.43  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.43  # Starting sh5l with 300s (1) cores
% 0.16/0.43  # new_bool_3 with pid 9635 completed with status 0
% 0.16/0.43  # Result found by new_bool_3
% 0.16/0.43  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.43  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.43  # Search class: FGUNF-FFSF11-MFFFFFNN
% 0.16/0.43  # partial match(1): FGUNF-FFSF11-SFFFFFNN
% 0.16/0.43  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.43  # Starting SAT001_CO_MinMin_p005000_rr with 181s (1) cores
% 0.16/0.43  # SAT001_CO_MinMin_p005000_rr with pid 9640 completed with status 0
% 0.16/0.43  # Result found by SAT001_CO_MinMin_p005000_rr
% 0.16/0.43  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.43  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.43  # Search class: FGUNF-FFSF11-MFFFFFNN
% 0.16/0.43  # partial match(1): FGUNF-FFSF11-SFFFFFNN
% 0.16/0.43  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.43  # Starting SAT001_CO_MinMin_p005000_rr with 181s (1) cores
% 0.16/0.43  # Preprocessing time       : 0.001 s
% 0.16/0.43  # Presaturation interreduction done
% 0.16/0.43  
% 0.16/0.43  # Proof found!
% 0.16/0.43  # SZS status Unsatisfiable
% 0.16/0.43  # SZS output start CNFRefutation
% See solution above
% 0.16/0.43  # Parsed axioms                        : 7
% 0.16/0.43  # Removed by relevancy pruning/SinE    : 0
% 0.16/0.43  # Initial clauses                      : 7
% 0.16/0.43  # Removed in clause preprocessing      : 0
% 0.16/0.43  # Initial clauses in saturation        : 7
% 0.16/0.43  # Processed clauses                    : 18
% 0.16/0.43  # ...of these trivial                  : 0
% 0.16/0.43  # ...subsumed                          : 0
% 0.16/0.43  # ...remaining for further processing  : 18
% 0.16/0.43  # Other redundant clauses eliminated   : 0
% 0.16/0.43  # Clauses deleted for lack of memory   : 0
% 0.16/0.43  # Backward-subsumed                    : 0
% 0.16/0.43  # Backward-rewritten                   : 0
% 0.16/0.43  # Generated clauses                    : 5
% 0.16/0.43  # ...of the previous two non-redundant : 4
% 0.16/0.43  # ...aggressively subsumed             : 0
% 0.16/0.43  # Contextual simplify-reflections      : 0
% 0.16/0.43  # Paramodulations                      : 5
% 0.16/0.43  # Factorizations                       : 0
% 0.16/0.43  # NegExts                              : 0
% 0.16/0.43  # Equation resolutions                 : 0
% 0.16/0.43  # Disequality decompositions           : 0
% 0.16/0.43  # Total rewrite steps                  : 0
% 0.16/0.43  # ...of those cached                   : 0
% 0.16/0.43  # Propositional unsat checks           : 0
% 0.16/0.43  #    Propositional check models        : 0
% 0.16/0.43  #    Propositional check unsatisfiable : 0
% 0.16/0.43  #    Propositional clauses             : 0
% 0.16/0.43  #    Propositional clauses after purity: 0
% 0.16/0.43  #    Propositional unsat core size     : 0
% 0.16/0.43  #    Propositional preprocessing time  : 0.000
% 0.16/0.43  #    Propositional encoding time       : 0.000
% 0.16/0.43  #    Propositional solver time         : 0.000
% 0.16/0.43  #    Success case prop preproc time    : 0.000
% 0.16/0.43  #    Success case prop encoding time   : 0.000
% 0.16/0.43  #    Success case prop solver time     : 0.000
% 0.16/0.43  # Current number of processed clauses  : 11
% 0.16/0.43  #    Positive orientable unit clauses  : 1
% 0.16/0.43  #    Positive unorientable unit clauses: 0
% 0.16/0.43  #    Negative unit clauses             : 5
% 0.16/0.43  #    Non-unit-clauses                  : 5
% 0.16/0.43  # Current number of unprocessed clauses: 0
% 0.16/0.43  # ...number of literals in the above   : 0
% 0.16/0.43  # Current number of archived formulas  : 0
% 0.16/0.43  # Current number of archived clauses   : 7
% 0.16/0.43  # Clause-clause subsumption calls (NU) : 0
% 0.16/0.43  # Rec. Clause-clause subsumption calls : 0
% 0.16/0.43  # Non-unit clause-clause subsumptions  : 0
% 0.16/0.43  # Unit Clause-clause subsumption calls : 1
% 0.16/0.43  # Rewrite failures with RHS unbound    : 0
% 0.16/0.43  # BW rewrite match attempts            : 0
% 0.16/0.43  # BW rewrite match successes           : 0
% 0.16/0.43  # Condensation attempts                : 18
% 0.16/0.43  # Condensation successes               : 0
% 0.16/0.43  # Termbank termtop insertions          : 329
% 0.16/0.43  # Search garbage collected termcells   : 14
% 0.16/0.43  
% 0.16/0.43  # -------------------------------------------------
% 0.16/0.43  # User time                : 0.001 s
% 0.16/0.43  # System time              : 0.003 s
% 0.16/0.43  # Total time               : 0.003 s
% 0.16/0.43  # Maximum resident set size: 1600 pages
% 0.16/0.43  
% 0.16/0.43  # -------------------------------------------------
% 0.16/0.43  # User time                : 0.001 s
% 0.16/0.43  # System time              : 0.005 s
% 0.16/0.43  # Total time               : 0.006 s
% 0.16/0.43  # Maximum resident set size: 1692 pages
% 0.16/0.43  % E---3.1 exiting
% 0.16/0.43  % E exiting
%------------------------------------------------------------------------------