TSTP Solution File: KLE074+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : KLE074+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n020.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 18:04:05 EDT 2023

% Result   : Timeout 0.37s 300.13s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (  13 unt;   0 def)
%            Number of atoms       :   13 (  12 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 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   :   24 (   0 sgn;  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(goals,conjecture,
    ! [X4,X5,X6] : domain(multiplication(multiplication(X4,X5),domain(X6))) = domain(multiplication(X4,domain(multiplication(X5,domain(X6))))),
    file('/export/starexec/sandbox/tmp/tmp.2XiygVuetS/E---3.1_18857.p',goals) ).

fof(multiplicative_associativity,axiom,
    ! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
    file('/export/starexec/sandbox/tmp/tmp.2XiygVuetS/E---3.1_18857.p',multiplicative_associativity) ).

fof(domain2,axiom,
    ! [X4,X5] : domain(multiplication(X4,X5)) = domain(multiplication(X4,domain(X5))),
    file('/export/starexec/sandbox/tmp/tmp.2XiygVuetS/E---3.1_18857.p',domain2) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X4,X5,X6] : domain(multiplication(multiplication(X4,X5),domain(X6))) = domain(multiplication(X4,domain(multiplication(X5,domain(X6))))),
    inference(assume_negation,[status(cth)],[goals]) ).

fof(c_0_4,negated_conjecture,
    domain(multiplication(multiplication(esk1_0,esk2_0),domain(esk3_0))) != domain(multiplication(esk1_0,domain(multiplication(esk2_0,domain(esk3_0))))),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

fof(c_0_5,plain,
    ! [X14,X15,X16] : multiplication(X14,multiplication(X15,X16)) = multiplication(multiplication(X14,X15),X16),
    inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).

fof(c_0_6,plain,
    ! [X30,X31] : domain(multiplication(X30,X31)) = domain(multiplication(X30,domain(X31))),
    inference(variable_rename,[status(thm)],[domain2]) ).

cnf(c_0_7,negated_conjecture,
    domain(multiplication(multiplication(esk1_0,esk2_0),domain(esk3_0))) != domain(multiplication(esk1_0,domain(multiplication(esk2_0,domain(esk3_0))))),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    domain(multiplication(X1,X2)) = domain(multiplication(X1,domain(X2))),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    domain(multiplication(esk1_0,multiplication(esk2_0,domain(esk3_0)))) != domain(multiplication(esk1_0,multiplication(esk2_0,esk3_0))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8]),c_0_9]),c_0_9]) ).

cnf(c_0_11,plain,
    domain(multiplication(X1,multiplication(X2,domain(X3)))) = domain(multiplication(X1,multiplication(X2,X3))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_9]),c_0_9]) ).

cnf(c_0_12,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : KLE074+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14  % Command    : run_E %s %d THM
% 0.14/0.36  % Computer : n020.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 2400
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Oct  3 04:44:31 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  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.2XiygVuetS/E---3.1_18857.p
% 0.37/300.13  # Version: 3.1pre001
% 0.37/300.13  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.37/300.13  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/300.13  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.37/300.13  # Starting new_bool_3 with 300s (1) cores
% 0.37/300.13  # Starting new_bool_1 with 300s (1) cores
% 0.37/300.13  # Starting sh5l with 300s (1) cores
% 0.37/300.13  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 18997 completed with status 0
% 0.37/300.13  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.37/300.13  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.37/300.13  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/300.13  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.37/300.13  # No SInE strategy applied
% 0.37/300.13  # Search class: FHUSM-FFSF21-MFFFFFNN
% 0.37/300.13  # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.37/300.13  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.37/300.13  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.37/300.13  # Starting G-E--_092_C01_F1_AE_CS_SP_PS_CO_S0Y with 136s (1) cores
% 0.37/300.13  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 0.37/300.13  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2U with 136s (1) cores
% 0.37/300.13  # G-E--_092_C01_F1_AE_CS_SP_PS_CO_S0Y with pid 19003 completed with status 0
% 0.37/300.13  # Result found by G-E--_092_C01_F1_AE_CS_SP_PS_CO_S0Y
% 0.37/300.13  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.37/300.13  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/300.13  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.37/300.13  # No SInE strategy applied
% 0.37/300.13  # Search class: FHUSM-FFSF21-MFFFFFNN
% 0.37/300.13  # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.37/300.13  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.37/300.13  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.37/300.13  # Starting G-E--_092_C01_F1_AE_CS_SP_PS_CO_S0Y with 136s (1) cores
% 0.37/300.13  # Preprocessing time       : 0.001 s
% 0.37/300.13  # Presaturation interreduction done
% 0.37/300.13  
% 0.37/300.13  # Proof found!
% 0.37/300.13  # SZS status Theorem
% 0.37/300.13  # SZS output start CNFRefutation
% See solution above
% 0.37/300.13  # Parsed axioms                        : 18
% 0.37/300.13  # Removed by relevancy pruning/SinE    : 0
% 0.37/300.13  # Initial clauses                      : 19
% 0.37/300.13  # Removed in clause preprocessing      : 0
% 0.37/300.13  # Initial clauses in saturation        : 19
% 0.37/300.13  # Processed clauses                    : 43
% 0.37/300.13  # ...of these trivial                  : 2
% 0.37/300.13  # ...subsumed                          : 0
% 0.37/300.13  # ...remaining for further processing  : 41
% 0.37/300.13  # Other redundant clauses eliminated   : 0
% 0.37/300.13  # Clauses deleted for lack of memory   : 0
% 0.37/300.13  # Backward-subsumed                    : 0
% 0.37/300.13  # Backward-rewritten                   : 2
% 0.37/300.13  # Generated clauses                    : 70
% 0.37/300.13  # ...of the previous two non-redundant : 25
% 0.37/300.13  # ...aggressively subsumed             : 0
% 0.37/300.13  # Contextual simplify-reflections      : 0
% 0.37/300.13  # Paramodulations                      : 70
% 0.37/300.13  # Factorizations                       : 0
% 0.37/300.13  # NegExts                              : 0
% 0.37/300.13  # Equation resolutions                 : 0
% 0.37/300.13  # Total rewrite steps                  : 73
% 0.37/300.13  # Propositional unsat checks           : 0
% 0.37/300.13  #    Propositional check models        : 0
% 0.37/300.13  #    Propositional check unsatisfiable : 0
% 0.37/300.13  #    Propositional clauses             : 0
% 0.37/300.13  #    Propositional clauses after purity: 0
% 0.37/300.13  #    Propositional unsat core size     : 0
% 0.37/300.13  #    Propositional preprocessing time  : 0.000
% 0.37/300.13  #    Propositional encoding time       : 0.000
% 0.37/300.13  #    Propositional solver time         : 0.000
% 0.37/300.13  #    Success case prop preproc time    : 0.000
% 0.37/300.13  #    Success case prop encoding time   : 0.000
% 0.37/300.13  #    Success case prop solver time     : 0.000
% 0.37/300.13  # Current number of processed clauses  : 20
% 0.37/300.13  #    Positive orientable unit clauses  : 17
% 0.37/300.13  #    Positive unorientable unit clauses: 1
% 0.37/300.13  #    Negative unit clauses             : 0
% 0.37/300.13  #    Non-unit-clauses                  : 2
% 0.37/300.13  # Current number of unprocessed clauses: 20
% 0.37/300.13  # ...number of literals in the above   : 20
% 0.37/300.13  # Current number of archived formulas  : 0
% 0.37/300.13  # Current number of archived clauses   : 21
% 0.37/300.13  # Clause-clause subsumption calls (NU) : 0
% 0.37/300.13  # Rec. Clause-clause subsumption calls : 0
% 0.37/300.13  # Non-unit clause-clause subsumptions  : 0
% 0.37/300.13  # Unit Clause-clause subsumption calls : 0
% 0.37/300.13  # Rewrite failures with RHS unbound    : 0
% 0.37/300.13  # BW rewrite match attempts            : 15
% 0.37/300.13  # BW rewrite match successes           : 11
% 0.37/300.13  # Condensation attempts                : 43
% 0.37/300.13  # Condensation successes               : 0
% 0.37/300.13  # Termbank termtop insertions          : 1398
% 0.37/300.13  
% 0.37/300.13  # -------------------------------------------------
% 0.37/300.13  # User time                : 0.006 s
% 0.37/300.13  # System time              : 0.001 s
% 0.37/300.13  # Total time               : 0.007 s
% 0.37/300.13  # Maximum resident set size: 1732 pages
% 0.37/300.13  
% 0.37/300.13  # -------------------------------------------------
% 0.37/300.13  # User time                : 0.017 s
% 0.37/300.13  # System time              : 0.013 s
% 0.37/300.13  # Total time               : 0.030 s
% 0.37/300.13  # Maximum resident set size: 1688 pages
% 0.37/300.13  % E---3.1 exiting
% 0.37/300.13  % E---3.1 exiting
%------------------------------------------------------------------------------