TSTP Solution File: GRP698-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : GRP698-1 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n015.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 : Mon May 20 20:50:51 EDT 2024

% Result   : Unsatisfiable 0.18s 0.50s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   17 (  17 unt;   0 nHn;   4 RR)
%            Number of literals    :   17 (  16 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   27 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c07,axiom,
    mult(mult(mult(X1,X2),X1),mult(X1,X3)) = mult(X1,mult(mult(mult(X2,X1),X1),X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).

cnf(c05,axiom,
    mult(X1,unit) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).

cnf(c04,axiom,
    rd(mult(X1,X2),X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).

cnf(c03,axiom,
    mult(rd(X1,X2),X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).

cnf(goals,negated_conjecture,
    mult(a,mult(b,c)) != mult(rd(mult(a,b),a),mult(a,c)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

cnf(c_0_5,axiom,
    mult(mult(mult(X1,X2),X1),mult(X1,X3)) = mult(X1,mult(mult(mult(X2,X1),X1),X3)),
    c07 ).

cnf(c_0_6,axiom,
    mult(X1,unit) = X1,
    c05 ).

cnf(c_0_7,axiom,
    rd(mult(X1,X2),X2) = X1,
    c04 ).

cnf(c_0_8,plain,
    mult(mult(mult(X1,X2),X1),X1) = mult(X1,mult(mult(X2,X1),X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_6]) ).

cnf(c_0_9,plain,
    rd(mult(X1,mult(mult(X2,X1),X1)),X1) = mult(mult(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_10,axiom,
    mult(rd(X1,X2),X2) = X1,
    c03 ).

cnf(c_0_11,plain,
    rd(mult(X1,mult(X2,X1)),X1) = mult(mult(X1,rd(X2,X1)),X1),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_12,negated_conjecture,
    mult(a,mult(b,c)) != mult(rd(mult(a,b),a),mult(a,c)),
    inference(fof_simplification,[status(thm)],[goals]) ).

cnf(c_0_13,plain,
    mult(mult(X1,rd(rd(X2,X1),X1)),X1) = rd(mult(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_11,c_0_10]) ).

cnf(c_0_14,negated_conjecture,
    mult(a,mult(b,c)) != mult(rd(mult(a,b),a),mult(a,c)),
    c_0_12 ).

cnf(c_0_15,plain,
    mult(rd(mult(X1,X2),X1),mult(X1,X3)) = mult(X1,mult(X2,X3)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_13]),c_0_10]),c_0_10]) ).

cnf(c_0_16,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : GRP698-1 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.14  % Command    : run_E %s %d THM
% 0.11/0.34  % Computer : n015.cluster.edu
% 0.11/0.34  % Model    : x86_64 x86_64
% 0.11/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34  % Memory   : 8042.1875MB
% 0.11/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34  % CPULimit   : 300
% 0.11/0.34  % WCLimit    : 300
% 0.11/0.34  % DateTime   : Sun May 19 05:57:23 EDT 2024
% 0.11/0.35  % CPUTime    : 
% 0.18/0.47  Running first-order theorem proving
% 0.18/0.47  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/benchmark/theBenchmark.p
% 0.18/0.50  # Version: 3.1.0
% 0.18/0.50  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.18/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.50  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.18/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.50  # Starting sh5l with 300s (1) cores
% 0.18/0.50  # sh5l with pid 1414 completed with status 0
% 0.18/0.50  # Result found by sh5l
% 0.18/0.50  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.18/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.50  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.18/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.50  # Starting sh5l with 300s (1) cores
% 0.18/0.50  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.18/0.50  # Search class: FUUPM-FFSF22-MFFFFFNN
% 0.18/0.50  # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.50  # Starting G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with 82s (1) cores
% 0.18/0.50  # G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with pid 1416 completed with status 0
% 0.18/0.50  # Result found by G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 0.18/0.50  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.18/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.50  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.18/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.50  # Starting sh5l with 300s (1) cores
% 0.18/0.50  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.18/0.50  # Search class: FUUPM-FFSF22-MFFFFFNN
% 0.18/0.50  # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.50  # Starting G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with 82s (1) cores
% 0.18/0.50  # Preprocessing time       : 0.001 s
% 0.18/0.50  # Presaturation interreduction done
% 0.18/0.50  
% 0.18/0.50  # Proof found!
% 0.18/0.50  # SZS status Unsatisfiable
% 0.18/0.50  # SZS output start CNFRefutation
% See solution above
% 0.18/0.50  # Parsed axioms                        : 9
% 0.18/0.50  # Removed by relevancy pruning/SinE    : 0
% 0.18/0.50  # Initial clauses                      : 9
% 0.18/0.50  # Removed in clause preprocessing      : 0
% 0.18/0.50  # Initial clauses in saturation        : 9
% 0.18/0.50  # Processed clauses                    : 84
% 0.18/0.50  # ...of these trivial                  : 16
% 0.18/0.50  # ...subsumed                          : 0
% 0.18/0.50  # ...remaining for further processing  : 68
% 0.18/0.50  # Other redundant clauses eliminated   : 0
% 0.18/0.50  # Clauses deleted for lack of memory   : 0
% 0.18/0.50  # Backward-subsumed                    : 0
% 0.18/0.50  # Backward-rewritten                   : 15
% 0.18/0.50  # Generated clauses                    : 1167
% 0.18/0.50  # ...of the previous two non-redundant : 779
% 0.18/0.50  # ...aggressively subsumed             : 0
% 0.18/0.50  # Contextual simplify-reflections      : 0
% 0.18/0.50  # Paramodulations                      : 1167
% 0.18/0.50  # Factorizations                       : 0
% 0.18/0.50  # NegExts                              : 0
% 0.18/0.50  # Equation resolutions                 : 0
% 0.18/0.50  # Disequality decompositions           : 0
% 0.18/0.50  # Total rewrite steps                  : 1929
% 0.18/0.50  # ...of those cached                   : 1670
% 0.18/0.50  # Propositional unsat checks           : 0
% 0.18/0.50  #    Propositional check models        : 0
% 0.18/0.50  #    Propositional check unsatisfiable : 0
% 0.18/0.50  #    Propositional clauses             : 0
% 0.18/0.50  #    Propositional clauses after purity: 0
% 0.18/0.50  #    Propositional unsat core size     : 0
% 0.18/0.50  #    Propositional preprocessing time  : 0.000
% 0.18/0.50  #    Propositional encoding time       : 0.000
% 0.18/0.50  #    Propositional solver time         : 0.000
% 0.18/0.50  #    Success case prop preproc time    : 0.000
% 0.18/0.50  #    Success case prop encoding time   : 0.000
% 0.18/0.50  #    Success case prop solver time     : 0.000
% 0.18/0.50  # Current number of processed clauses  : 44
% 0.18/0.50  #    Positive orientable unit clauses  : 44
% 0.18/0.50  #    Positive unorientable unit clauses: 0
% 0.18/0.50  #    Negative unit clauses             : 0
% 0.18/0.50  #    Non-unit-clauses                  : 0
% 0.18/0.50  # Current number of unprocessed clauses: 697
% 0.18/0.50  # ...number of literals in the above   : 697
% 0.18/0.50  # Current number of archived formulas  : 0
% 0.18/0.50  # Current number of archived clauses   : 24
% 0.18/0.50  # Clause-clause subsumption calls (NU) : 0
% 0.18/0.50  # Rec. Clause-clause subsumption calls : 0
% 0.18/0.50  # Non-unit clause-clause subsumptions  : 0
% 0.18/0.50  # Unit Clause-clause subsumption calls : 0
% 0.18/0.50  # Rewrite failures with RHS unbound    : 0
% 0.18/0.50  # BW rewrite match attempts            : 65
% 0.18/0.50  # BW rewrite match successes           : 11
% 0.18/0.50  # Condensation attempts                : 0
% 0.18/0.50  # Condensation successes               : 0
% 0.18/0.50  # Termbank termtop insertions          : 24889
% 0.18/0.50  # Search garbage collected termcells   : 2
% 0.18/0.50  
% 0.18/0.50  # -------------------------------------------------
% 0.18/0.50  # User time                : 0.018 s
% 0.18/0.50  # System time              : 0.002 s
% 0.18/0.50  # Total time               : 0.020 s
% 0.18/0.50  # Maximum resident set size: 1620 pages
% 0.18/0.50  
% 0.18/0.50  # -------------------------------------------------
% 0.18/0.50  # User time                : 0.018 s
% 0.18/0.50  # System time              : 0.005 s
% 0.18/0.50  # Total time               : 0.023 s
% 0.18/0.50  # Maximum resident set size: 1688 pages
% 0.18/0.50  % E---3.1 exiting
% 0.18/0.50  % E exiting
%------------------------------------------------------------------------------