TSTP Solution File: ITP364_1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : ITP001_1 : TPTP v8.2.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n010.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 22:18:19 EDT 2024

% Result   : Theorem 0.50s 0.61s
% Output   : CNFRefutation 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   34 (   9 unt;  21 typ;   0 def)
%            Number of atoms       :   17 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   6   ~;   3   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of types       :    7 (   6 usr)
%            Number of type conns  :   16 (   9   >;   7   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn  10   !;   0   ?;  10   :)

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

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

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

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

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

tff(decl_sort6,type,
    'Nat$': $tType ).

tff(decl_23,type,
    'w$': 'Nat_a_set_fun$' ).

tff(decl_24,type,
    'fun_app$a': ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > $o ).

tff(decl_28,type,
    'uu$': 'Nat_bool_fun$' ).

tff(decl_32,type,
    'psi_1$': 'A_ltln$' ).

tff(decl_42,type,
    'false_ltln$': 'A_ltln$' ).

tff(decl_58,type,
    'suffix$': ( 'Nat$' * 'Nat_a_set_fun$' ) > 'Nat_a_set_fun$' ).

tff(decl_71,type,
    'g$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$' ).

tff(decl_76,type,
    'member$': ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).

tff(decl_79,type,
    'eps$': 'Nat_bool_fun$' > 'Nat$' ).

tff(decl_87,type,
    'release_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).

tff(decl_97,type,
    'psi_2$': 'A_ltln$' ).

tff(decl_100,type,
    'f_G$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$' ).

tff(decl_108,type,
    'semantics_ltln$': 'Nat_a_set_fun$' > 'A_ltln_bool_fun$' ).

tff(decl_123,type,
    'weakUntil_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).

tff(decl_125,type,
    'phi$': 'A_ltln$' ).

tff(conjecture30,conjecture,
    'fun_app$a'('semantics_ltln$'('suffix$'('eps$'('uu$'),'w$')),'release_ltln$'('false_ltln$','weakUntil_ltln$'('psi_1$','psi_2$'))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture30) ).

tff(axiom39,axiom,
    ! [X60: 'A_ltln$',X3: 'A_ltln$',X61: 'Nat_a_set_fun$'] :
      ( 'member$'(X60,'g$'(X3,X61))
     => 'fun_app$a'('semantics_ltln$'(X61),'release_ltln$'('false_ltln$',X60)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom39) ).

tff(axiom34,axiom,
    'f_G$'('phi$','w$') = 'g$'('phi$','suffix$'('eps$'('uu$'),'w$')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom34) ).

tff(axiom32,axiom,
    'member$'('weakUntil_ltln$'('psi_1$','psi_2$'),'f_G$'('phi$','w$')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom32) ).

tff(c_0_4,negated_conjecture,
    ~ 'fun_app$a'('semantics_ltln$'('suffix$'('eps$'('uu$'),'w$')),'release_ltln$'('false_ltln$','weakUntil_ltln$'('psi_1$','psi_2$'))),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conjecture30])]) ).

tff(c_0_5,plain,
    ! [X2283: 'A_ltln$',X2284: 'A_ltln$',X2285: 'Nat_a_set_fun$'] :
      ( ~ 'member$'(X2283,'g$'(X2284,X2285))
      | 'fun_app$a'('semantics_ltln$'(X2285),'release_ltln$'('false_ltln$',X2283)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom39])])]) ).

tff(c_0_6,negated_conjecture,
    ~ 'fun_app$a'('semantics_ltln$'('suffix$'('eps$'('uu$'),'w$')),'release_ltln$'('false_ltln$','weakUntil_ltln$'('psi_1$','psi_2$'))),
    inference(fof_nnf,[status(thm)],[c_0_4]) ).

tcf(c_0_7,plain,
    ! [X2: 'A_ltln$',X3: 'A_ltln$',X6: 'Nat_a_set_fun$'] :
      ( 'fun_app$a'('semantics_ltln$'(X6),'release_ltln$'('false_ltln$',X2))
      | ~ 'member$'(X2,'g$'(X3,X6)) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

tcf(c_0_8,plain,
    'f_G$'('phi$','w$') = 'g$'('phi$','suffix$'('eps$'('uu$'),'w$')),
    inference(split_conjunct,[status(thm)],[axiom34]) ).

tcf(c_0_9,negated_conjecture,
    ~ 'fun_app$a'('semantics_ltln$'('suffix$'('eps$'('uu$'),'w$')),'release_ltln$'('false_ltln$','weakUntil_ltln$'('psi_1$','psi_2$'))),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

tcf(c_0_10,plain,
    ! [X2: 'A_ltln$'] :
      ( 'fun_app$a'('semantics_ltln$'('suffix$'('eps$'('uu$'),'w$')),'release_ltln$'('false_ltln$',X2))
      | ~ 'member$'(X2,'f_G$'('phi$','w$')) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

tcf(c_0_11,plain,
    'member$'('weakUntil_ltln$'('psi_1$','psi_2$'),'f_G$'('phi$','w$')),
    inference(split_conjunct,[status(thm)],[axiom32]) ).

cnf(c_0_12,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : ITP001_1 : TPTP v8.2.0. Released v8.1.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n010.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat May 18 17:14:22 EDT 2024
% 0.14/0.35  % 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/benchmark/theBenchmark.p
% 0.50/0.61  # Version: 3.1.0
% 0.50/0.61  # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.50/0.61  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.50/0.61  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.50/0.61  # Starting new_bool_3 with 600s (2) cores
% 0.50/0.61  # Starting new_bool_1 with 300s (1) cores
% 0.50/0.61  # Starting sh5l with 300s (1) cores
% 0.50/0.61  # new_bool_3 with pid 27954 completed with status 0
% 0.50/0.61  # Result found by new_bool_3
% 0.50/0.61  # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.50/0.61  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.50/0.61  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.50/0.61  # Starting new_bool_3 with 600s (2) cores
% 0.50/0.61  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.50/0.61  # Search class: FGHSM-FSLS32-MFFFFFNN
% 0.50/0.61  # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.50/0.61  # Starting G-E--_200_C45_F1_SE_CS_SP_PI_CO_S5PRR_S0V with 300s (1) cores
% 0.50/0.61  # Starting G-E--_200_C45_F1_SE_CS_SP_PI_CO_S0V with 75s (1) cores
% 0.50/0.61  # G-E--_200_C45_F1_SE_CS_SP_PI_CO_S5PRR_S0V with pid 27958 completed with status 0
% 0.50/0.61  # Result found by G-E--_200_C45_F1_SE_CS_SP_PI_CO_S5PRR_S0V
% 0.50/0.61  # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.50/0.61  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.50/0.61  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.50/0.61  # Starting new_bool_3 with 600s (2) cores
% 0.50/0.61  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.50/0.61  # Search class: FGHSM-FSLS32-MFFFFFNN
% 0.50/0.61  # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.50/0.61  # Starting G-E--_200_C45_F1_SE_CS_SP_PI_CO_S5PRR_S0V with 300s (1) cores
% 0.50/0.61  # Preprocessing time       : 0.005 s
% 0.50/0.61  
% 0.50/0.61  # Proof found!
% 0.50/0.61  # SZS status Theorem
% 0.50/0.61  # SZS output start CNFRefutation
% See solution above
% 0.50/0.61  # Parsed axioms                        : 788
% 0.50/0.61  # Removed by relevancy pruning/SinE    : 482
% 0.50/0.61  # Initial clauses                      : 771
% 0.50/0.61  # Removed in clause preprocessing      : 270
% 0.50/0.61  # Initial clauses in saturation        : 501
% 0.50/0.61  # Processed clauses                    : 614
% 0.50/0.61  # ...of these trivial                  : 20
% 0.50/0.61  # ...subsumed                          : 199
% 0.50/0.61  # ...remaining for further processing  : 395
% 0.50/0.61  # Other redundant clauses eliminated   : 71
% 0.50/0.61  # Clauses deleted for lack of memory   : 0
% 0.50/0.61  # Backward-subsumed                    : 0
% 0.50/0.61  # Backward-rewritten                   : 5
% 0.50/0.61  # Generated clauses                    : 1482
% 0.50/0.61  # ...of the previous two non-redundant : 1299
% 0.50/0.61  # ...aggressively subsumed             : 0
% 0.50/0.61  # Contextual simplify-reflections      : 1
% 0.50/0.61  # Paramodulations                      : 1389
% 0.50/0.61  # Factorizations                       : 10
% 0.50/0.61  # NegExts                              : 0
% 0.50/0.61  # Equation resolutions                 : 83
% 0.50/0.61  # Disequality decompositions           : 0
% 0.50/0.61  # Total rewrite steps                  : 198
% 0.50/0.61  # ...of those cached                   : 124
% 0.50/0.61  # Propositional unsat checks           : 0
% 0.50/0.61  #    Propositional check models        : 0
% 0.50/0.61  #    Propositional check unsatisfiable : 0
% 0.50/0.61  #    Propositional clauses             : 0
% 0.50/0.61  #    Propositional clauses after purity: 0
% 0.50/0.61  #    Propositional unsat core size     : 0
% 0.50/0.61  #    Propositional preprocessing time  : 0.000
% 0.50/0.61  #    Propositional encoding time       : 0.000
% 0.50/0.61  #    Propositional solver time         : 0.000
% 0.50/0.61  #    Success case prop preproc time    : 0.000
% 0.50/0.61  #    Success case prop encoding time   : 0.000
% 0.50/0.61  #    Success case prop solver time     : 0.000
% 0.50/0.61  # Current number of processed clauses  : 319
% 0.50/0.61  #    Positive orientable unit clauses  : 38
% 0.50/0.61  #    Positive unorientable unit clauses: 0
% 0.50/0.61  #    Negative unit clauses             : 71
% 0.50/0.61  #    Non-unit-clauses                  : 210
% 0.50/0.61  # Current number of unprocessed clauses: 1171
% 0.50/0.61  # ...number of literals in the above   : 3033
% 0.50/0.61  # Current number of archived formulas  : 0
% 0.50/0.61  # Current number of archived clauses   : 5
% 0.50/0.61  # Clause-clause subsumption calls (NU) : 9710
% 0.50/0.61  # Rec. Clause-clause subsumption calls : 6992
% 0.50/0.61  # Non-unit clause-clause subsumptions  : 155
% 0.50/0.61  # Unit Clause-clause subsumption calls : 4453
% 0.50/0.61  # Rewrite failures with RHS unbound    : 0
% 0.50/0.61  # BW rewrite match attempts            : 4
% 0.50/0.61  # BW rewrite match successes           : 3
% 0.50/0.61  # Condensation attempts                : 614
% 0.50/0.61  # Condensation successes               : 9
% 0.50/0.61  # Termbank termtop insertions          : 68718
% 0.50/0.61  # Search garbage collected termcells   : 14073
% 0.50/0.61  
% 0.50/0.61  # -------------------------------------------------
% 0.50/0.61  # User time                : 0.064 s
% 0.50/0.61  # System time              : 0.014 s
% 0.50/0.61  # Total time               : 0.078 s
% 0.50/0.61  # Maximum resident set size: 5064 pages
% 0.50/0.61  
% 0.50/0.61  # -------------------------------------------------
% 0.50/0.61  # User time                : 0.127 s
% 0.50/0.61  # System time              : 0.025 s
% 0.50/0.61  # Total time               : 0.151 s
% 0.50/0.61  # Maximum resident set size: 3356 pages
% 0.50/0.61  % E---3.1 exiting
% 0.50/0.61  % E exiting
%------------------------------------------------------------------------------