TSTP Solution File: GRP573-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : GRP573-1 : TPTP v8.1.2. Released v2.6.0.
% 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 17:42:10 EDT 2023

% Result   : Unsatisfiable 0.14s 0.40s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   16 (  16 unt;   0 nHn;   6 RR)
%            Number of literals    :   16 (  15 equ;   4 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;   2 con; 0-2 aty)
%            Number of variables   :   16 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(identity,axiom,
    identity = double_divide(X1,inverse(X1)),
    file('/export/starexec/sandbox2/tmp/tmp.3BgdTKP9SJ/E---3.1_19776.p',identity) ).

cnf(inverse,axiom,
    inverse(X1) = double_divide(X1,identity),
    file('/export/starexec/sandbox2/tmp/tmp.3BgdTKP9SJ/E---3.1_19776.p',inverse) ).

cnf(single_axiom,axiom,
    double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X3,X1)),double_divide(X3,identity))),double_divide(identity,identity)) = X2,
    file('/export/starexec/sandbox2/tmp/tmp.3BgdTKP9SJ/E---3.1_19776.p',single_axiom) ).

cnf(prove_these_axioms_1,negated_conjecture,
    multiply(inverse(a1),a1) != identity,
    file('/export/starexec/sandbox2/tmp/tmp.3BgdTKP9SJ/E---3.1_19776.p',prove_these_axioms_1) ).

cnf(multiply,axiom,
    multiply(X1,X2) = double_divide(double_divide(X2,X1),identity),
    file('/export/starexec/sandbox2/tmp/tmp.3BgdTKP9SJ/E---3.1_19776.p',multiply) ).

cnf(c_0_5,axiom,
    identity = double_divide(X1,inverse(X1)),
    identity ).

cnf(c_0_6,axiom,
    inverse(X1) = double_divide(X1,identity),
    inverse ).

cnf(c_0_7,axiom,
    double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X3,X1)),double_divide(X3,identity))),double_divide(identity,identity)) = X2,
    single_axiom ).

cnf(c_0_8,plain,
    identity = double_divide(X1,double_divide(X1,identity)),
    inference(rw,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    multiply(inverse(a1),a1) != identity,
    prove_these_axioms_1 ).

cnf(c_0_10,axiom,
    multiply(X1,X2) = double_divide(double_divide(X2,X1),identity),
    multiply ).

cnf(c_0_11,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(X1,identity))),double_divide(identity,identity)) = X1,
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_12,negated_conjecture,
    double_divide(double_divide(a1,double_divide(a1,identity)),identity) != identity,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_6]),c_0_10]) ).

cnf(c_0_13,plain,
    double_divide(double_divide(identity,identity),double_divide(identity,identity)) = identity,
    inference(spm,[status(thm)],[c_0_11,c_0_8]) ).

cnf(c_0_14,negated_conjecture,
    double_divide(identity,identity) != identity,
    inference(rw,[status(thm)],[c_0_12,c_0_8]) ).

cnf(c_0_15,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_13]),c_0_8]),c_0_13]),c_0_14]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : GRP573-1 : TPTP v8.1.2. Released v2.6.0.
% 0.02/0.10  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n009.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 2400
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Tue Oct  3 02:34:59 EDT 2023
% 0.10/0.30  % CPUTime    : 
% 0.14/0.39  Running first-order theorem proving
% 0.14/0.39  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.3BgdTKP9SJ/E---3.1_19776.p
% 0.14/0.40  # Version: 3.1pre001
% 0.14/0.40  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.40  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.40  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.40  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.40  # Starting new_bool_1 with 300s (1) cores
% 0.14/0.40  # Starting sh5l with 300s (1) cores
% 0.14/0.40  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 19855 completed with status 0
% 0.14/0.40  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.14/0.40  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.40  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.40  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.40  # No SInE strategy applied
% 0.14/0.40  # Search class: FUUPS-FFSF22-MFFFFFNN
% 0.14/0.40  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.40  # Starting G-E--_208_C18_F1_AE_CS_SP_S0Y with 811s (1) cores
% 0.14/0.40  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.14/0.40  # Starting new_bool_3 with 136s (1) cores
% 0.14/0.40  # Starting new_bool_1 with 136s (1) cores
% 0.14/0.40  # Starting sh5l with 136s (1) cores
% 0.14/0.40  # G-E--_208_C18_F1_AE_CS_SP_S0Y with pid 19860 completed with status 0
% 0.14/0.40  # Result found by G-E--_208_C18_F1_AE_CS_SP_S0Y
% 0.14/0.40  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.40  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.40  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.40  # No SInE strategy applied
% 0.14/0.40  # Search class: FUUPS-FFSF22-MFFFFFNN
% 0.14/0.40  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.40  # Starting G-E--_208_C18_F1_AE_CS_SP_S0Y with 811s (1) cores
% 0.14/0.40  # Preprocessing time       : 0.001 s
% 0.14/0.40  
% 0.14/0.40  # Proof found!
% 0.14/0.40  # SZS status Unsatisfiable
% 0.14/0.40  # SZS output start CNFRefutation
% See solution above
% 0.14/0.40  # Parsed axioms                        : 5
% 0.14/0.40  # Removed by relevancy pruning/SinE    : 0
% 0.14/0.40  # Initial clauses                      : 5
% 0.14/0.40  # Removed in clause preprocessing      : 2
% 0.14/0.40  # Initial clauses in saturation        : 3
% 0.14/0.40  # Processed clauses                    : 5
% 0.14/0.40  # ...of these trivial                  : 0
% 0.14/0.40  # ...subsumed                          : 0
% 0.14/0.40  # ...remaining for further processing  : 5
% 0.14/0.40  # Other redundant clauses eliminated   : 0
% 0.14/0.40  # Clauses deleted for lack of memory   : 0
% 0.14/0.40  # Backward-subsumed                    : 0
% 0.14/0.40  # Backward-rewritten                   : 0
% 0.14/0.40  # Generated clauses                    : 10
% 0.14/0.40  # ...of the previous two non-redundant : 9
% 0.14/0.40  # ...aggressively subsumed             : 0
% 0.14/0.40  # Contextual simplify-reflections      : 0
% 0.14/0.40  # Paramodulations                      : 10
% 0.14/0.40  # Factorizations                       : 0
% 0.14/0.40  # NegExts                              : 0
% 0.14/0.40  # Equation resolutions                 : 0
% 0.14/0.40  # Total rewrite steps                  : 3
% 0.14/0.40  # Propositional unsat checks           : 0
% 0.14/0.40  #    Propositional check models        : 0
% 0.14/0.40  #    Propositional check unsatisfiable : 0
% 0.14/0.40  #    Propositional clauses             : 0
% 0.14/0.40  #    Propositional clauses after purity: 0
% 0.14/0.40  #    Propositional unsat core size     : 0
% 0.14/0.40  #    Propositional preprocessing time  : 0.000
% 0.14/0.40  #    Propositional encoding time       : 0.000
% 0.14/0.40  #    Propositional solver time         : 0.000
% 0.14/0.40  #    Success case prop preproc time    : 0.000
% 0.14/0.40  #    Success case prop encoding time   : 0.000
% 0.14/0.40  #    Success case prop solver time     : 0.000
% 0.14/0.40  # Current number of processed clauses  : 5
% 0.14/0.40  #    Positive orientable unit clauses  : 4
% 0.14/0.40  #    Positive unorientable unit clauses: 0
% 0.14/0.40  #    Negative unit clauses             : 1
% 0.14/0.40  #    Non-unit-clauses                  : 0
% 0.14/0.40  # Current number of unprocessed clauses: 6
% 0.14/0.40  # ...number of literals in the above   : 6
% 0.14/0.40  # Current number of archived formulas  : 0
% 0.14/0.40  # Current number of archived clauses   : 2
% 0.14/0.40  # Clause-clause subsumption calls (NU) : 0
% 0.14/0.40  # Rec. Clause-clause subsumption calls : 0
% 0.14/0.40  # Non-unit clause-clause subsumptions  : 0
% 0.14/0.40  # Unit Clause-clause subsumption calls : 0
% 0.14/0.40  # Rewrite failures with RHS unbound    : 0
% 0.14/0.40  # BW rewrite match attempts            : 0
% 0.14/0.40  # BW rewrite match successes           : 0
% 0.14/0.40  # Condensation attempts                : 0
% 0.14/0.40  # Condensation successes               : 0
% 0.14/0.40  # Termbank termtop insertions          : 239
% 0.14/0.40  
% 0.14/0.40  # -------------------------------------------------
% 0.14/0.40  # User time                : 0.002 s
% 0.14/0.40  # System time              : 0.001 s
% 0.14/0.40  # Total time               : 0.003 s
% 0.14/0.40  # Maximum resident set size: 1560 pages
% 0.14/0.40  
% 0.14/0.40  # -------------------------------------------------
% 0.14/0.40  # User time                : 0.010 s
% 0.14/0.40  # System time              : 0.002 s
% 0.14/0.40  # Total time               : 0.013 s
% 0.14/0.40  # Maximum resident set size: 1672 pages
% 0.14/0.40  % E---3.1 exiting
% 0.14/0.40  % E---3.1 exiting
%------------------------------------------------------------------------------