TSTP Solution File: ITP399_1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : ITP399_1 : TPTP v8.2.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n022.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 22:21:10 EDT 2024

% Result   : Theorem 0.39s 0.59s
% Output   : CNFRefutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   22 (   7 unt;  12 typ;   0 def)
%            Number of atoms       :   13 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   5   ~;   2   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of types       :    6 (   5 usr)
%            Number of type conns  :    9 (   5   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn   6   !;   0   ?;   6   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_sort1,type,
    'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff(decl_sort2,type,
    'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff(decl_sort3,type,
    'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff(decl_sort4,type,
    'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff(decl_sort5,type,
    'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

tff(decl_56,type,
    'complements$': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff(decl_194,type,
    'f$': 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff(decl_258,type,
    'g$': 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff(decl_310,type,
    'compatible$': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).

tff(decl_620,type,
    'register_pair$': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff(decl_657,type,
    'register_pair$a': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff(decl_721,type,
    'complement$': 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

tff(conjecture0,conjecture,
    'complements$'('g$','register_pair$'('f$','complement$'('register_pair$a'('f$','g$')))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture0) ).

tff(axiom18,axiom,
    ! [X26: 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X2: 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] :
      ( 'compatible$'(X26,X2)
     => 'complements$'(X2,'register_pair$'(X26,'complement$'('register_pair$a'(X26,X2)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom18) ).

tff(axiom3,axiom,
    'compatible$'('f$','g$'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom3) ).

tff(c_0_3,negated_conjecture,
    ~ 'complements$'('g$','register_pair$'('f$','complement$'('register_pair$a'('f$','g$')))),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conjecture0])]) ).

tff(c_0_4,negated_conjecture,
    ~ 'complements$'('g$','register_pair$'('f$','complement$'('register_pair$a'('f$','g$')))),
    inference(fof_nnf,[status(thm)],[c_0_3]) ).

tff(c_0_5,plain,
    ! [X1436: 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X1437: 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] :
      ( ~ 'compatible$'(X1436,X1437)
      | 'complements$'(X1437,'register_pair$'(X1436,'complement$'('register_pair$a'(X1436,X1437)))) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom18])])]) ).

tcf(c_0_6,negated_conjecture,
    ~ 'complements$'('g$','register_pair$'('f$','complement$'('register_pair$a'('f$','g$')))),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

tcf(c_0_7,plain,
    ! [X4: 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X2: 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] :
      ( 'complements$'(X2,'register_pair$'(X4,'complement$'('register_pair$a'(X4,X2))))
      | ~ 'compatible$'(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

tcf(c_0_8,plain,
    'compatible$'('f$','g$'),
    inference(split_conjunct,[status(thm)],[axiom3]) ).

cnf(c_0_9,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : ITP399_1 : TPTP v8.2.0. Released v8.0.0.
% 0.11/0.15  % Command    : run_E %s %d THM
% 0.13/0.36  % Computer : n022.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit   : 300
% 0.13/0.36  % WCLimit    : 300
% 0.13/0.36  % DateTime   : Sat May 18 16:21:22 EDT 2024
% 0.13/0.36  % CPUTime    : 
% 0.20/0.49  Running first-order model finding
% 0.20/0.49  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/benchmark/theBenchmark.p
% 0.39/0.59  # Version: 3.1.0
% 0.39/0.59  # partial match(1): FMLMSMSMSSSNFFN
% 0.39/0.59  # Preprocessing class: FMLMSMLMSSSNFFN.
% 0.39/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.59  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.39/0.59  # Starting new_bool_3 with 300s (1) cores
% 0.39/0.59  # Starting new_bool_1 with 300s (1) cores
% 0.39/0.59  # Starting sh5l with 300s (1) cores
% 0.39/0.59  # new_bool_1 with pid 11649 completed with status 0
% 0.39/0.59  # Result found by new_bool_1
% 0.39/0.59  # partial match(1): FMLMSMSMSSSNFFN
% 0.39/0.59  # Preprocessing class: FMLMSMLMSSSNFFN.
% 0.39/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.59  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.39/0.59  # Starting new_bool_3 with 300s (1) cores
% 0.39/0.59  # Starting new_bool_1 with 300s (1) cores
% 0.39/0.59  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.39/0.59  # Search class: FGUSF-FFMM21-MFFFFFNN
% 0.39/0.59  # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.39/0.59  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 135s (1) cores
% 0.39/0.59  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with pid 11651 completed with status 0
% 0.39/0.59  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
% 0.39/0.59  # partial match(1): FMLMSMSMSSSNFFN
% 0.39/0.59  # Preprocessing class: FMLMSMLMSSSNFFN.
% 0.39/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.59  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.39/0.59  # Starting new_bool_3 with 300s (1) cores
% 0.39/0.59  # Starting new_bool_1 with 300s (1) cores
% 0.39/0.59  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.39/0.59  # Search class: FGUSF-FFMM21-MFFFFFNN
% 0.39/0.59  # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.39/0.59  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 135s (1) cores
% 0.39/0.59  # Preprocessing time       : 0.002 s
% 0.39/0.59  # Presaturation interreduction done
% 0.39/0.59  
% 0.39/0.59  # Proof found!
% 0.39/0.59  # SZS status Theorem
% 0.39/0.59  # SZS output start CNFRefutation
% See solution above
% 0.39/0.59  # Parsed axioms                        : 1679
% 0.39/0.59  # Removed by relevancy pruning/SinE    : 1648
% 0.39/0.59  # Initial clauses                      : 46
% 0.39/0.59  # Removed in clause preprocessing      : 2
% 0.39/0.59  # Initial clauses in saturation        : 44
% 0.39/0.59  # Processed clauses                    : 80
% 0.39/0.59  # ...of these trivial                  : 0
% 0.39/0.59  # ...subsumed                          : 5
% 0.39/0.59  # ...remaining for further processing  : 75
% 0.39/0.59  # Other redundant clauses eliminated   : 4
% 0.39/0.59  # Clauses deleted for lack of memory   : 0
% 0.39/0.59  # Backward-subsumed                    : 0
% 0.39/0.59  # Backward-rewritten                   : 1
% 0.39/0.59  # Generated clauses                    : 12
% 0.39/0.59  # ...of the previous two non-redundant : 9
% 0.39/0.59  # ...aggressively subsumed             : 0
% 0.39/0.59  # Contextual simplify-reflections      : 0
% 0.39/0.59  # Paramodulations                      : 8
% 0.39/0.59  # Factorizations                       : 0
% 0.39/0.59  # NegExts                              : 0
% 0.39/0.59  # Equation resolutions                 : 4
% 0.39/0.59  # Disequality decompositions           : 0
% 0.39/0.59  # Total rewrite steps                  : 4
% 0.39/0.59  # ...of those cached                   : 2
% 0.39/0.59  # Propositional unsat checks           : 0
% 0.39/0.59  #    Propositional check models        : 0
% 0.39/0.59  #    Propositional check unsatisfiable : 0
% 0.39/0.59  #    Propositional clauses             : 0
% 0.39/0.59  #    Propositional clauses after purity: 0
% 0.39/0.59  #    Propositional unsat core size     : 0
% 0.39/0.59  #    Propositional preprocessing time  : 0.000
% 0.39/0.59  #    Propositional encoding time       : 0.000
% 0.39/0.59  #    Propositional solver time         : 0.000
% 0.39/0.59  #    Success case prop preproc time    : 0.000
% 0.39/0.59  #    Success case prop encoding time   : 0.000
% 0.39/0.59  #    Success case prop solver time     : 0.000
% 0.39/0.59  # Current number of processed clauses  : 31
% 0.39/0.59  #    Positive orientable unit clauses  : 11
% 0.39/0.59  #    Positive unorientable unit clauses: 0
% 0.39/0.59  #    Negative unit clauses             : 1
% 0.39/0.59  #    Non-unit-clauses                  : 19
% 0.39/0.59  # Current number of unprocessed clauses: 12
% 0.39/0.59  # ...number of literals in the above   : 31
% 0.39/0.59  # Current number of archived formulas  : 0
% 0.39/0.59  # Current number of archived clauses   : 40
% 0.39/0.59  # Clause-clause subsumption calls (NU) : 185
% 0.39/0.59  # Rec. Clause-clause subsumption calls : 158
% 0.39/0.59  # Non-unit clause-clause subsumptions  : 5
% 0.39/0.59  # Unit Clause-clause subsumption calls : 0
% 0.39/0.59  # Rewrite failures with RHS unbound    : 0
% 0.39/0.59  # BW rewrite match attempts            : 1
% 0.39/0.59  # BW rewrite match successes           : 1
% 0.39/0.59  # Condensation attempts                : 0
% 0.39/0.59  # Condensation successes               : 0
% 0.39/0.59  # Termbank termtop insertions          : 11995
% 0.39/0.59  # Search garbage collected termcells   : 7500
% 0.39/0.59  
% 0.39/0.59  # -------------------------------------------------
% 0.39/0.59  # User time                : 0.008 s
% 0.39/0.59  # System time              : 0.008 s
% 0.39/0.59  # Total time               : 0.016 s
% 0.39/0.59  # Maximum resident set size: 5328 pages
% 0.39/0.59  
% 0.39/0.59  # -------------------------------------------------
% 0.39/0.59  # User time                : 0.067 s
% 0.39/0.59  # System time              : 0.010 s
% 0.39/0.59  # Total time               : 0.078 s
% 0.39/0.59  # Maximum resident set size: 4016 pages
% 0.39/0.59  % E---3.1 exiting
%------------------------------------------------------------------------------