TSTP Solution File: GEO454+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GEO454+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n002.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 17:35:02 EDT 2023

% Result   : Theorem 7.61s 3.59s
% Output   : CNFRefutation 7.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (  16 unt;   0 def)
%            Number of atoms       :   16 (  15 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  10 con; 0-2 aty)
%            Number of variables   :   13 (   0 sgn;   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(adrop,axiom,
    ! [X1] : s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X1))) = s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),X1))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),
    file('/export/starexec/sandbox2/tmp/tmp.9jQ2Oc34B3/E---3.1_25158.p',adrop) ).

fof(aNUMERAL,axiom,
    ! [X84] : s(num,i(s(fun(num,num),numeral),s(num,X84))) = s(num,X84),
    file('/export/starexec/sandbox2/tmp/tmp.9jQ2Oc34B3/E---3.1_25158.p',aNUMERAL) ).

fof(aLIFTu_DROPu_conjunct1,conjecture,
    ! [X1] : s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X1))))) = s(real,X1),
    file('/export/starexec/sandbox2/tmp/tmp.9jQ2Oc34B3/E---3.1_25158.p',aLIFTu_DROPu_conjunct1) ).

fof(aLIFTu_COMPONENT,axiom,
    ! [X1] : s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X1))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) = s(real,X1),
    file('/export/starexec/sandbox2/tmp/tmp.9jQ2Oc34B3/E---3.1_25158.p',aLIFTu_COMPONENT) ).

fof(c_0_4,plain,
    ! [X1438] : s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X1438))) = s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),X1438))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),
    inference(variable_rename,[status(thm)],[adrop]) ).

fof(c_0_5,plain,
    ! [X1540] : s(num,i(s(fun(num,num),numeral),s(num,X1540))) = s(num,X1540),
    inference(variable_rename,[status(thm)],[aNUMERAL]) ).

fof(c_0_6,negated_conjecture,
    ~ ! [X1] : s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X1))))) = s(real,X1),
    inference(assume_negation,[status(cth)],[aLIFTu_DROPu_conjunct1]) ).

fof(c_0_7,plain,
    ! [X1411] : s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X1411))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) = s(real,X1411),
    inference(variable_rename,[status(thm)],[aLIFTu_COMPONENT]) ).

cnf(c_0_8,plain,
    s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X1))) = s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),X1))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9,plain,
    s(num,i(s(fun(num,num),numeral),s(num,X1))) = s(num,X1),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

fof(c_0_10,negated_conjecture,
    s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,esk1_0))))) != s(real,esk1_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).

cnf(c_0_11,plain,
    s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X1))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) = s(real,X1),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),X1))),s(num,i(s(fun(num,num),bit1),s(num,u_0))))) = s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X1))),
    inference(rw,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,negated_conjecture,
    s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,esk1_0))))) != s(real,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,plain,
    s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X1))))) = s(real,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_9]),c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : GEO454+1 : TPTP v8.1.2. Released v7.0.0.
% 0.06/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n002.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 2400
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Oct  3 06:27:15 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 1.70/1.90  Running first-order model finding
% 1.70/1.90  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.9jQ2Oc34B3/E---3.1_25158.p
% 7.61/3.59  # Version: 3.1pre001
% 7.61/3.59  # Preprocessing class: FMLMSMSLSSSNFFN.
% 7.61/3.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.61/3.59  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 7.61/3.59  # Starting new_bool_3 with 600s (2) cores
% 7.61/3.59  # Starting new_bool_1 with 600s (2) cores
% 7.61/3.59  # Starting sh5l with 300s (1) cores
% 7.61/3.59  # new_bool_1 with pid 25245 completed with status 0
% 7.61/3.59  # Result found by new_bool_1
% 7.61/3.59  # Preprocessing class: FMLMSMSLSSSNFFN.
% 7.61/3.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.61/3.59  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 7.61/3.59  # Starting new_bool_3 with 600s (2) cores
% 7.61/3.59  # Starting new_bool_1 with 600s (2) cores
% 7.61/3.59  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 7.61/3.59  # Search class: FGHSM-SMLM33-DFFFFFNN
% 7.61/3.59  # Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 7.61/3.59  # Starting SAT001_MinMin_p005000_rr with 325s (1) cores
% 7.61/3.59  # Starting new_bool_1 with 61s (1) cores
% 7.61/3.59  # SAT001_MinMin_p005000_rr with pid 25247 completed with status 0
% 7.61/3.59  # Result found by SAT001_MinMin_p005000_rr
% 7.61/3.59  # Preprocessing class: FMLMSMSLSSSNFFN.
% 7.61/3.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.61/3.59  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 7.61/3.59  # Starting new_bool_3 with 600s (2) cores
% 7.61/3.59  # Starting new_bool_1 with 600s (2) cores
% 7.61/3.59  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 7.61/3.59  # Search class: FGHSM-SMLM33-DFFFFFNN
% 7.61/3.59  # Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 7.61/3.59  # Starting SAT001_MinMin_p005000_rr with 325s (1) cores
% 7.61/3.59  # Preprocessing time       : 0.399 s
% 7.61/3.59  # Presaturation interreduction done
% 7.61/3.59  
% 7.61/3.59  # Proof found!
% 7.61/3.59  # SZS status Theorem
% 7.61/3.59  # SZS output start CNFRefutation
% See solution above
% 7.61/3.59  # Parsed axioms                        : 3209
% 7.61/3.59  # Removed by relevancy pruning/SinE    : 1718
% 7.61/3.59  # Initial clauses                      : 4491
% 7.61/3.59  # Removed in clause preprocessing      : 214
% 7.61/3.59  # Initial clauses in saturation        : 4277
% 7.61/3.59  # Processed clauses                    : 554
% 7.61/3.59  # ...of these trivial                  : 33
% 7.61/3.59  # ...subsumed                          : 82
% 7.61/3.59  # ...remaining for further processing  : 439
% 7.61/3.59  # Other redundant clauses eliminated   : 0
% 7.61/3.59  # Clauses deleted for lack of memory   : 0
% 7.61/3.59  # Backward-subsumed                    : 2
% 7.61/3.59  # Backward-rewritten                   : 15
% 7.61/3.59  # Generated clauses                    : 0
% 7.61/3.59  # ...of the previous two non-redundant : 7
% 7.61/3.59  # ...aggressively subsumed             : 0
% 7.61/3.59  # Contextual simplify-reflections      : 1
% 7.61/3.59  # Paramodulations                      : 0
% 7.61/3.59  # Factorizations                       : 0
% 7.61/3.59  # NegExts                              : 0
% 7.61/3.59  # Equation resolutions                 : 0
% 7.61/3.59  # Total rewrite steps                  : 221
% 7.61/3.59  # Propositional unsat checks           : 0
% 7.61/3.59  #    Propositional check models        : 0
% 7.61/3.59  #    Propositional check unsatisfiable : 0
% 7.61/3.59  #    Propositional clauses             : 0
% 7.61/3.59  #    Propositional clauses after purity: 0
% 7.61/3.59  #    Propositional unsat core size     : 0
% 7.61/3.59  #    Propositional preprocessing time  : 0.000
% 7.61/3.59  #    Propositional encoding time       : 0.000
% 7.61/3.59  #    Propositional solver time         : 0.000
% 7.61/3.59  #    Success case prop preproc time    : 0.000
% 7.61/3.59  #    Success case prop encoding time   : 0.000
% 7.61/3.59  #    Success case prop solver time     : 0.000
% 7.61/3.59  # Current number of processed clauses  : 422
% 7.61/3.59  #    Positive orientable unit clauses  : 120
% 7.61/3.59  #    Positive unorientable unit clauses: 5
% 7.61/3.59  #    Negative unit clauses             : 12
% 7.61/3.59  #    Non-unit-clauses                  : 285
% 7.61/3.59  # Current number of unprocessed clauses: 3730
% 7.61/3.59  # ...number of literals in the above   : 20335
% 7.61/3.59  # Current number of archived formulas  : 0
% 7.61/3.59  # Current number of archived clauses   : 17
% 7.61/3.59  # Clause-clause subsumption calls (NU) : 10679
% 7.61/3.59  # Rec. Clause-clause subsumption calls : 7679
% 7.61/3.59  # Non-unit clause-clause subsumptions  : 63
% 7.61/3.59  # Unit Clause-clause subsumption calls : 38
% 7.61/3.59  # Rewrite failures with RHS unbound    : 4
% 7.61/3.59  # BW rewrite match attempts            : 7936
% 7.61/3.59  # BW rewrite match successes           : 34
% 7.61/3.59  # Condensation attempts                : 0
% 7.61/3.59  # Condensation successes               : 0
% 7.61/3.59  # Termbank termtop insertions          : 2315218
% 7.61/3.59  
% 7.61/3.59  # -------------------------------------------------
% 7.61/3.59  # User time                : 1.147 s
% 7.61/3.59  # System time              : 0.058 s
% 7.61/3.59  # Total time               : 1.205 s
% 7.61/3.59  # Maximum resident set size: 31532 pages
% 7.61/3.59  
% 7.61/3.59  # -------------------------------------------------
% 7.61/3.59  # User time                : 2.048 s
% 7.61/3.59  # System time              : 0.076 s
% 7.61/3.59  # Total time               : 2.124 s
% 7.61/3.59  # Maximum resident set size: 11536 pages
% 7.61/3.59  % E---3.1 exiting
%------------------------------------------------------------------------------