TSTP Solution File: GRP710-11 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : GRP710-11 : TPTP v8.2.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n013.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 20:50:56 EDT 2024

% Result   : Unsatisfiable 0.19s 0.48s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   23 (  23 unt;   0 nHn;   6 RR)
%            Number of literals    :   23 (  22 equ;   5 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   35 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(f01,axiom,
    mult(X1,unit) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).

cnf(f03,axiom,
    mult(X1,mult(X2,mult(X2,X3))) = mult(mult(mult(X1,X2),X2),X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).

cnf(f05,axiom,
    mult(i(X1),X1) = unit,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).

cnf(f02,axiom,
    mult(unit,X1) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).

cnf(goal,negated_conjecture,
    mult(X1,x4) != x3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

cnf(c_0_5,axiom,
    mult(X1,unit) = X1,
    f01 ).

cnf(c_0_6,axiom,
    mult(X1,mult(X2,mult(X2,X3))) = mult(mult(mult(X1,X2),X2),X3),
    f03 ).

cnf(c_0_7,plain,
    mult(mult(X1,X2),X2) = mult(X1,mult(X2,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_5]) ).

cnf(c_0_8,axiom,
    mult(i(X1),X1) = unit,
    f05 ).

cnf(c_0_9,axiom,
    mult(unit,X1) = X1,
    f02 ).

cnf(c_0_10,plain,
    mult(mult(X1,mult(X2,X2)),X3) = mult(X1,mult(X2,mult(X2,X3))),
    inference(rw,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_11,plain,
    mult(i(X1),mult(X1,X1)) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).

cnf(c_0_12,negated_conjecture,
    mult(X1,x4) != x3,
    inference(fof_simplification,[status(thm)],[goal]) ).

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

cnf(c_0_14,negated_conjecture,
    mult(X1,x4) != x3,
    c_0_12 ).

cnf(c_0_15,plain,
    mult(i(mult(X1,X1)),mult(X1,mult(X1,X2))) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_8]),c_0_9]) ).

cnf(c_0_16,plain,
    i(i(X1)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_11]),c_0_8]),c_0_5]) ).

cnf(c_0_17,plain,
    mult(mult(X1,X1),X2) = mult(X1,mult(X1,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_9]),c_0_9]) ).

cnf(c_0_18,negated_conjecture,
    mult(X1,mult(x4,x4)) != x3,
    inference(spm,[status(thm)],[c_0_14,c_0_7]) ).

cnf(c_0_19,plain,
    mult(X1,mult(X1,mult(i(mult(X1,X1)),X2))) = X2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_15]),c_0_16]),c_0_17]) ).

cnf(c_0_20,negated_conjecture,
    mult(X1,mult(X2,mult(X2,mult(x4,x4)))) != x3,
    inference(spm,[status(thm)],[c_0_18,c_0_10]) ).

cnf(c_0_21,plain,
    mult(i(X1),mult(X1,X2)) = X2,
    inference(spm,[status(thm)],[c_0_13,c_0_19]) ).

cnf(c_0_22,negated_conjecture,
    $false,
    inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_8]),c_0_5])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP710-11 : TPTP v8.2.0. Released v8.1.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Sun May 19 04:30:07 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.19/0.48  # Version: 3.1.0
% 0.19/0.48  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.48  # Starting sh5l with 300s (1) cores
% 0.19/0.48  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 8175 completed with status 0
% 0.19/0.48  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.19/0.48  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.48  # No SInE strategy applied
% 0.19/0.48  # Search class: FUUPM-FFSF21-MFFFFFNN
% 0.19/0.48  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.48  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 675s (1) cores
% 0.19/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.19/0.48  # Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 0.19/0.48  # Starting U----_043_B31_F1_PI_AE_CS_SP_S2S with 136s (1) cores
% 0.19/0.48  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 136s (1) cores
% 0.19/0.48  # G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with pid 8183 completed with status 0
% 0.19/0.48  # Result found by G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y
% 0.19/0.48  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.48  # No SInE strategy applied
% 0.19/0.48  # Search class: FUUPM-FFSF21-MFFFFFNN
% 0.19/0.48  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.48  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 675s (1) cores
% 0.19/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.19/0.48  # Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 0.19/0.48  # Preprocessing time       : 0.001 s
% 0.19/0.48  
% 0.19/0.48  # Proof found!
% 0.19/0.48  # SZS status Unsatisfiable
% 0.19/0.48  # SZS output start CNFRefutation
% See solution above
% 0.19/0.48  # Parsed axioms                        : 6
% 0.19/0.48  # Removed by relevancy pruning/SinE    : 0
% 0.19/0.48  # Initial clauses                      : 6
% 0.19/0.48  # Removed in clause preprocessing      : 0
% 0.19/0.48  # Initial clauses in saturation        : 6
% 0.19/0.48  # Processed clauses                    : 128
% 0.19/0.48  # ...of these trivial                  : 4
% 0.19/0.48  # ...subsumed                          : 80
% 0.19/0.48  # ...remaining for further processing  : 44
% 0.19/0.48  # Other redundant clauses eliminated   : 1
% 0.19/0.48  # Clauses deleted for lack of memory   : 0
% 0.19/0.48  # Backward-subsumed                    : 1
% 0.19/0.48  # Backward-rewritten                   : 8
% 0.19/0.48  # Generated clauses                    : 522
% 0.19/0.48  # ...of the previous two non-redundant : 396
% 0.19/0.48  # ...aggressively subsumed             : 0
% 0.19/0.48  # Contextual simplify-reflections      : 0
% 0.19/0.48  # Paramodulations                      : 521
% 0.19/0.48  # Factorizations                       : 0
% 0.19/0.48  # NegExts                              : 0
% 0.19/0.48  # Equation resolutions                 : 1
% 0.19/0.48  # Disequality decompositions           : 0
% 0.19/0.48  # Total rewrite steps                  : 675
% 0.19/0.48  # ...of those cached                   : 524
% 0.19/0.48  # Propositional unsat checks           : 0
% 0.19/0.48  #    Propositional check models        : 0
% 0.19/0.48  #    Propositional check unsatisfiable : 0
% 0.19/0.48  #    Propositional clauses             : 0
% 0.19/0.48  #    Propositional clauses after purity: 0
% 0.19/0.48  #    Propositional unsat core size     : 0
% 0.19/0.48  #    Propositional preprocessing time  : 0.000
% 0.19/0.48  #    Propositional encoding time       : 0.000
% 0.19/0.48  #    Propositional solver time         : 0.000
% 0.19/0.48  #    Success case prop preproc time    : 0.000
% 0.19/0.48  #    Success case prop encoding time   : 0.000
% 0.19/0.48  #    Success case prop solver time     : 0.000
% 0.19/0.48  # Current number of processed clauses  : 35
% 0.19/0.48  #    Positive orientable unit clauses  : 19
% 0.19/0.48  #    Positive unorientable unit clauses: 0
% 0.19/0.48  #    Negative unit clauses             : 16
% 0.19/0.48  #    Non-unit-clauses                  : 0
% 0.19/0.48  # Current number of unprocessed clauses: 248
% 0.19/0.48  # ...number of literals in the above   : 248
% 0.19/0.48  # Current number of archived formulas  : 0
% 0.19/0.48  # Current number of archived clauses   : 9
% 0.19/0.48  # Clause-clause subsumption calls (NU) : 0
% 0.19/0.48  # Rec. Clause-clause subsumption calls : 0
% 0.19/0.48  # Non-unit clause-clause subsumptions  : 0
% 0.19/0.48  # Unit Clause-clause subsumption calls : 58
% 0.19/0.48  # Rewrite failures with RHS unbound    : 0
% 0.19/0.48  # BW rewrite match attempts            : 26
% 0.19/0.48  # BW rewrite match successes           : 8
% 0.19/0.48  # Condensation attempts                : 128
% 0.19/0.48  # Condensation successes               : 0
% 0.19/0.48  # Termbank termtop insertions          : 5381
% 0.19/0.48  # Search garbage collected termcells   : 2
% 0.19/0.48  
% 0.19/0.48  # -------------------------------------------------
% 0.19/0.48  # User time                : 0.008 s
% 0.19/0.48  # System time              : 0.002 s
% 0.19/0.48  # Total time               : 0.010 s
% 0.19/0.48  # Maximum resident set size: 1548 pages
% 0.19/0.48  
% 0.19/0.48  # -------------------------------------------------
% 0.19/0.48  # User time                : 0.035 s
% 0.19/0.48  # System time              : 0.010 s
% 0.19/0.48  # Total time               : 0.046 s
% 0.19/0.48  # Maximum resident set size: 1680 pages
% 0.19/0.48  % E---3.1 exiting
% 0.19/0.49  % E exiting
%------------------------------------------------------------------------------