TSTP Solution File: GRP117-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : GRP117-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n032.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 17:38:00 EDT 2023

% Result   : Unsatisfiable 0.16s 0.42s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   11 (  11 unt;   0 nHn;   3 RR)
%            Number of literals    :   11 (  10 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   21 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
    multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X2),X3)),multiply(identity,multiply(X3,X3)))) = X2,
    file('/export/starexec/sandbox/tmp/tmp.LBBMZOG8b8/E---3.1_14276.p',single_axiom) ).

cnf(prove_order3,negated_conjecture,
    multiply(a,identity) != a,
    file('/export/starexec/sandbox/tmp/tmp.LBBMZOG8b8/E---3.1_14276.p',prove_order3) ).

cnf(c_0_2,axiom,
    multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X2),X3)),multiply(identity,multiply(X3,X3)))) = X2,
    single_axiom ).

cnf(c_0_3,plain,
    multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X2),multiply(identity,multiply(multiply(identity,X3),multiply(identity,X3))))),X3)) = X2,
    inference(spm,[status(thm)],[c_0_2,c_0_2]) ).

cnf(c_0_4,plain,
    multiply(multiply(X1,X2),multiply(identity,X3)) = multiply(X1,multiply(X2,X3)),
    inference(spm,[status(thm)],[c_0_3,c_0_2]) ).

cnf(c_0_5,plain,
    multiply(X1,multiply(X1,multiply(multiply(multiply(X1,X2),X3),multiply(X3,X3)))) = X2,
    inference(rw,[status(thm)],[c_0_2,c_0_4]) ).

cnf(c_0_6,plain,
    multiply(X1,multiply(X1,multiply(X1,multiply(multiply(X2,X3),multiply(X3,X3))))) = X2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_4]),c_0_4]),c_0_4]) ).

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

cnf(c_0_8,negated_conjecture,
    multiply(a,identity) != a,
    prove_order3 ).

cnf(c_0_9,plain,
    multiply(X1,identity) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_7]),c_0_4]),c_0_7]) ).

cnf(c_0_10,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : GRP117-1 : TPTP v8.1.2. Released v1.2.0.
% 0.05/0.11  % Command    : run_E %s %d THM
% 0.11/0.31  % Computer : n032.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   : 2400
% 0.11/0.31  % WCLimit    : 300
% 0.16/0.31  % DateTime   : Tue Oct  3 02:38:50 EDT 2023
% 0.16/0.31  % CPUTime    : 
% 0.16/0.41  Running first-order theorem proving
% 0.16/0.41  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/tmp/tmp.LBBMZOG8b8/E---3.1_14276.p
% 0.16/0.42  # Version: 3.1pre001
% 0.16/0.42  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.42  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.42  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.42  # Starting sh5l with 300s (1) cores
% 0.16/0.42  # new_bool_3 with pid 14387 completed with status 0
% 0.16/0.42  # Result found by new_bool_3
% 0.16/0.42  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.42  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.42  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.42  # Search class: FUUPF-FFSF22-MFFFFFNN
% 0.16/0.42  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.42  # Starting G-E--_209_C18_F1_AE_CS_SP_PI_S0Y with 93s (1) cores
% 0.16/0.42  # G-E--_209_C18_F1_AE_CS_SP_PI_S0Y with pid 14391 completed with status 0
% 0.16/0.42  # Result found by G-E--_209_C18_F1_AE_CS_SP_PI_S0Y
% 0.16/0.42  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.42  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.42  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.42  # Search class: FUUPF-FFSF22-MFFFFFNN
% 0.16/0.42  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.42  # Starting G-E--_209_C18_F1_AE_CS_SP_PI_S0Y with 93s (1) cores
% 0.16/0.42  # Preprocessing time       : 0.001 s
% 0.16/0.42  
% 0.16/0.42  # Proof found!
% 0.16/0.42  # SZS status Unsatisfiable
% 0.16/0.42  # SZS output start CNFRefutation
% See solution above
% 0.16/0.42  # Parsed axioms                        : 2
% 0.16/0.42  # Removed by relevancy pruning/SinE    : 0
% 0.16/0.42  # Initial clauses                      : 2
% 0.16/0.42  # Removed in clause preprocessing      : 0
% 0.16/0.42  # Initial clauses in saturation        : 2
% 0.16/0.42  # Processed clauses                    : 10
% 0.16/0.42  # ...of these trivial                  : 0
% 0.16/0.42  # ...subsumed                          : 0
% 0.16/0.42  # ...remaining for further processing  : 10
% 0.16/0.42  # Other redundant clauses eliminated   : 0
% 0.16/0.42  # Clauses deleted for lack of memory   : 0
% 0.16/0.42  # Backward-subsumed                    : 0
% 0.16/0.42  # Backward-rewritten                   : 3
% 0.16/0.42  # Generated clauses                    : 89
% 0.16/0.42  # ...of the previous two non-redundant : 76
% 0.16/0.42  # ...aggressively subsumed             : 0
% 0.16/0.42  # Contextual simplify-reflections      : 0
% 0.16/0.42  # Paramodulations                      : 89
% 0.16/0.42  # Factorizations                       : 0
% 0.16/0.42  # NegExts                              : 0
% 0.16/0.42  # Equation resolutions                 : 0
% 0.16/0.42  # Total rewrite steps                  : 60
% 0.16/0.42  # Propositional unsat checks           : 0
% 0.16/0.42  #    Propositional check models        : 0
% 0.16/0.42  #    Propositional check unsatisfiable : 0
% 0.16/0.42  #    Propositional clauses             : 0
% 0.16/0.42  #    Propositional clauses after purity: 0
% 0.16/0.42  #    Propositional unsat core size     : 0
% 0.16/0.42  #    Propositional preprocessing time  : 0.000
% 0.16/0.42  #    Propositional encoding time       : 0.000
% 0.16/0.42  #    Propositional solver time         : 0.000
% 0.16/0.42  #    Success case prop preproc time    : 0.000
% 0.16/0.42  #    Success case prop encoding time   : 0.000
% 0.16/0.42  #    Success case prop solver time     : 0.000
% 0.16/0.42  # Current number of processed clauses  : 7
% 0.16/0.42  #    Positive orientable unit clauses  : 7
% 0.16/0.42  #    Positive unorientable unit clauses: 0
% 0.16/0.42  #    Negative unit clauses             : 0
% 0.16/0.42  #    Non-unit-clauses                  : 0
% 0.16/0.42  # Current number of unprocessed clauses: 68
% 0.16/0.42  # ...number of literals in the above   : 68
% 0.16/0.42  # Current number of archived formulas  : 0
% 0.16/0.42  # Current number of archived clauses   : 3
% 0.16/0.42  # Clause-clause subsumption calls (NU) : 0
% 0.16/0.42  # Rec. Clause-clause subsumption calls : 0
% 0.16/0.42  # Non-unit clause-clause subsumptions  : 0
% 0.16/0.42  # Unit Clause-clause subsumption calls : 0
% 0.16/0.42  # Rewrite failures with RHS unbound    : 0
% 0.16/0.42  # BW rewrite match attempts            : 12
% 0.16/0.42  # BW rewrite match successes           : 4
% 0.16/0.42  # Condensation attempts                : 0
% 0.16/0.42  # Condensation successes               : 0
% 0.16/0.42  # Termbank termtop insertions          : 1398
% 0.16/0.42  
% 0.16/0.42  # -------------------------------------------------
% 0.16/0.42  # User time                : 0.001 s
% 0.16/0.42  # System time              : 0.002 s
% 0.16/0.42  # Total time               : 0.003 s
% 0.16/0.42  # Maximum resident set size: 1428 pages
% 0.16/0.42  
% 0.16/0.42  # -------------------------------------------------
% 0.16/0.42  # User time                : 0.001 s
% 0.16/0.42  # System time              : 0.005 s
% 0.16/0.42  # Total time               : 0.005 s
% 0.16/0.42  # Maximum resident set size: 1668 pages
% 0.16/0.42  % E---3.1 exiting
% 0.16/0.42  % E---3.1 exiting
%------------------------------------------------------------------------------