TSTP Solution File: SYN310-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SYN310-1 : TPTP v8.2.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n024.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 : Tue May 21 07:57:49 EDT 2024

% Result   : Unsatisfiable 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   29 (  17 unt;   0 nHn;  29 RR)
%            Number of literals    :   41 (   0 equ;  15 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-1 aty)
%            Number of variables   :   36 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause4,negated_conjecture,
    ( p(X1,X2,X3)
    | ~ p(f(X1),X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).

cnf(clause1,negated_conjecture,
    ( p(X3,X2,X1)
    | ~ p(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

cnf(clause6,negated_conjecture,
    p(f(g(a)),f(g(b)),f(g(c))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).

cnf(clause3,negated_conjecture,
    ( p(X1,X2,X3)
    | ~ p(X1,X2,g(X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

cnf(clause2,negated_conjecture,
    ( p(X2,X1,X3)
    | ~ p(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

cnf(clause5,negated_conjecture,
    ~ p(a,b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).

cnf(c_0_6,negated_conjecture,
    ( p(X1,X2,X3)
    | ~ p(f(X1),X2,X3) ),
    inference(fof_simplification,[status(thm)],[clause4]) ).

cnf(c_0_7,negated_conjecture,
    ( p(X3,X2,X1)
    | ~ p(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[clause1]) ).

cnf(c_0_8,negated_conjecture,
    ( p(X1,X2,X3)
    | ~ p(f(X1),X2,X3) ),
    c_0_6 ).

cnf(c_0_9,negated_conjecture,
    p(f(g(a)),f(g(b)),f(g(c))),
    clause6 ).

cnf(c_0_10,negated_conjecture,
    ( p(X1,X2,X3)
    | ~ p(X1,X2,g(X3)) ),
    inference(fof_simplification,[status(thm)],[clause3]) ).

cnf(c_0_11,negated_conjecture,
    ( p(X3,X2,X1)
    | ~ p(X1,X2,X3) ),
    c_0_7 ).

cnf(c_0_12,negated_conjecture,
    p(g(a),f(g(b)),f(g(c))),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,negated_conjecture,
    ( p(X1,X2,X3)
    | ~ p(X1,X2,g(X3)) ),
    c_0_10 ).

cnf(c_0_14,negated_conjecture,
    p(f(g(c)),f(g(b)),g(a)),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    p(f(g(c)),f(g(b)),a),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_16,negated_conjecture,
    p(g(c),f(g(b)),a),
    inference(spm,[status(thm)],[c_0_8,c_0_15]) ).

cnf(c_0_17,negated_conjecture,
    ( p(X2,X1,X3)
    | ~ p(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[clause2]) ).

cnf(c_0_18,negated_conjecture,
    p(a,f(g(b)),g(c)),
    inference(spm,[status(thm)],[c_0_11,c_0_16]) ).

cnf(c_0_19,negated_conjecture,
    ( p(X2,X1,X3)
    | ~ p(X1,X2,X3) ),
    c_0_17 ).

cnf(c_0_20,negated_conjecture,
    p(a,f(g(b)),c),
    inference(spm,[status(thm)],[c_0_13,c_0_18]) ).

cnf(c_0_21,negated_conjecture,
    p(f(g(b)),a,c),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_22,negated_conjecture,
    p(g(b),a,c),
    inference(spm,[status(thm)],[c_0_8,c_0_21]) ).

cnf(c_0_23,negated_conjecture,
    p(c,a,g(b)),
    inference(spm,[status(thm)],[c_0_11,c_0_22]) ).

cnf(c_0_24,negated_conjecture,
    p(c,a,b),
    inference(spm,[status(thm)],[c_0_13,c_0_23]) ).

cnf(c_0_25,negated_conjecture,
    ~ p(a,b,c),
    inference(fof_simplification,[status(thm)],[clause5]) ).

cnf(c_0_26,negated_conjecture,
    p(b,a,c),
    inference(spm,[status(thm)],[c_0_11,c_0_24]) ).

cnf(c_0_27,negated_conjecture,
    ~ p(a,b,c),
    c_0_25 ).

cnf(c_0_28,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_26]),c_0_27]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem    : SYN310-1 : TPTP v8.2.0. Released v1.2.0.
% 0.00/0.07  % Command    : run_E %s %d THM
% 0.08/0.26  % Computer : n024.cluster.edu
% 0.08/0.26  % Model    : x86_64 x86_64
% 0.08/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26  % Memory   : 8042.1875MB
% 0.08/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26  % CPULimit   : 300
% 0.08/0.26  % WCLimit    : 300
% 0.08/0.26  % DateTime   : Mon May 20 15:17:07 EDT 2024
% 0.08/0.26  % CPUTime    : 
% 0.12/0.33  Running first-order model finding
% 0.12/0.33  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  # Version: 3.1.0
% 0.12/0.34  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.12/0.34  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.34  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.12/0.34  # Starting new_bool_3 with 300s (1) cores
% 0.12/0.34  # Starting new_bool_1 with 300s (1) cores
% 0.12/0.34  # Starting sh5l with 300s (1) cores
% 0.12/0.34  # new_bool_3 with pid 9294 completed with status 0
% 0.12/0.34  # Result found by new_bool_3
% 0.12/0.34  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.12/0.34  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.34  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.12/0.34  # Starting new_bool_3 with 300s (1) cores
% 0.12/0.34  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.12/0.34  # Search class: FHUNF-FFSF11-SFFFFFNN
% 0.12/0.34  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.34  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.12/0.34  # SAT001_MinMin_p005000_rr_RG with pid 9298 completed with status 0
% 0.12/0.34  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.12/0.34  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.12/0.34  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.34  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.12/0.34  # Starting new_bool_3 with 300s (1) cores
% 0.12/0.34  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.12/0.34  # Search class: FHUNF-FFSF11-SFFFFFNN
% 0.12/0.34  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.34  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.12/0.34  # Preprocessing time       : 0.001 s
% 0.12/0.34  # Presaturation interreduction done
% 0.12/0.34  
% 0.12/0.34  # Proof found!
% 0.12/0.34  # SZS status Unsatisfiable
% 0.12/0.34  # SZS output start CNFRefutation
% See solution above
% 0.12/0.34  # Parsed axioms                        : 6
% 0.12/0.34  # Removed by relevancy pruning/SinE    : 0
% 0.12/0.34  # Initial clauses                      : 6
% 0.12/0.34  # Removed in clause preprocessing      : 0
% 0.12/0.34  # Initial clauses in saturation        : 6
% 0.12/0.34  # Processed clauses                    : 25
% 0.12/0.34  # ...of these trivial                  : 0
% 0.12/0.34  # ...subsumed                          : 0
% 0.12/0.34  # ...remaining for further processing  : 25
% 0.12/0.34  # Other redundant clauses eliminated   : 0
% 0.12/0.34  # Clauses deleted for lack of memory   : 0
% 0.12/0.34  # Backward-subsumed                    : 0
% 0.12/0.34  # Backward-rewritten                   : 0
% 0.12/0.34  # Generated clauses                    : 36
% 0.12/0.34  # ...of the previous two non-redundant : 28
% 0.12/0.34  # ...aggressively subsumed             : 0
% 0.12/0.34  # Contextual simplify-reflections      : 0
% 0.12/0.34  # Paramodulations                      : 36
% 0.12/0.34  # Factorizations                       : 0
% 0.12/0.34  # NegExts                              : 0
% 0.12/0.34  # Equation resolutions                 : 0
% 0.12/0.34  # Disequality decompositions           : 0
% 0.12/0.34  # Total rewrite steps                  : 7
% 0.12/0.34  # ...of those cached                   : 1
% 0.12/0.34  # Propositional unsat checks           : 0
% 0.12/0.34  #    Propositional check models        : 0
% 0.12/0.34  #    Propositional check unsatisfiable : 0
% 0.12/0.34  #    Propositional clauses             : 0
% 0.12/0.34  #    Propositional clauses after purity: 0
% 0.12/0.34  #    Propositional unsat core size     : 0
% 0.12/0.34  #    Propositional preprocessing time  : 0.000
% 0.12/0.34  #    Propositional encoding time       : 0.000
% 0.12/0.34  #    Propositional solver time         : 0.000
% 0.12/0.34  #    Success case prop preproc time    : 0.000
% 0.12/0.34  #    Success case prop encoding time   : 0.000
% 0.12/0.34  #    Success case prop solver time     : 0.000
% 0.12/0.34  # Current number of processed clauses  : 19
% 0.12/0.34  #    Positive orientable unit clauses  : 14
% 0.12/0.34  #    Positive unorientable unit clauses: 0
% 0.12/0.34  #    Negative unit clauses             : 1
% 0.12/0.34  #    Non-unit-clauses                  : 4
% 0.12/0.34  # Current number of unprocessed clauses: 15
% 0.12/0.34  # ...number of literals in the above   : 15
% 0.12/0.34  # Current number of archived formulas  : 0
% 0.12/0.34  # Current number of archived clauses   : 6
% 0.12/0.34  # Clause-clause subsumption calls (NU) : 12
% 0.12/0.34  # Rec. Clause-clause subsumption calls : 12
% 0.12/0.34  # Non-unit clause-clause subsumptions  : 0
% 0.12/0.34  # Unit Clause-clause subsumption calls : 0
% 0.12/0.34  # Rewrite failures with RHS unbound    : 0
% 0.12/0.34  # BW rewrite match attempts            : 8
% 0.12/0.34  # BW rewrite match successes           : 0
% 0.12/0.34  # Condensation attempts                : 0
% 0.12/0.34  # Condensation successes               : 0
% 0.12/0.34  # Termbank termtop insertions          : 513
% 0.12/0.34  # Search garbage collected termcells   : 11
% 0.12/0.34  
% 0.12/0.34  # -------------------------------------------------
% 0.12/0.34  # User time                : 0.001 s
% 0.12/0.34  # System time              : 0.002 s
% 0.12/0.34  # Total time               : 0.003 s
% 0.12/0.34  # Maximum resident set size: 1620 pages
% 0.12/0.34  
% 0.12/0.34  # -------------------------------------------------
% 0.12/0.34  # User time                : 0.001 s
% 0.12/0.34  # System time              : 0.004 s
% 0.12/0.34  # Total time               : 0.005 s
% 0.12/0.34  # Maximum resident set size: 1696 pages
% 0.12/0.34  % E---3.1 exiting
%------------------------------------------------------------------------------