TSTP Solution File: CSR023+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : CSR023+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n017.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 : Sat May  4 07:31:14 EDT 2024

% Result   : Theorem 0.16s 0.45s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   30 (  12 unt;   0 def)
%            Number of atoms       :  291 ( 163 equ)
%            Maximal formula atoms :  120 (   9 avg)
%            Number of connectives :  365 ( 104   ~; 190   |;  66   &)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   37 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-2 aty)
%            Number of variables   :   52 (   0 sgn  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(happens_holds,axiom,
    ! [X4,X5,X2] :
      ( ( happens(X4,X5)
        & initiates(X4,X2,X5) )
     => holdsAt(X2,plus(X5,n1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.ktbTBNbt2K/E---3.1_29979.p',happens_holds) ).

fof(symmetry_of_plus,axiom,
    ! [X9,X10] : plus(X9,X10) = plus(X10,X9),
    file('/export/starexec/sandbox2/tmp/tmp.ktbTBNbt2K/E---3.1_29979.p',symmetry_of_plus) ).

fof(initiates_all_defn,axiom,
    ! [X4,X2,X5] :
      ( initiates(X4,X2,X5)
    <=> ( ( X4 = push
          & X2 = forwards
          & ~ happens(pull,X5) )
        | ( X4 = pull
          & X2 = backwards
          & ~ happens(push,X5) )
        | ( X4 = pull
          & X2 = spinning
          & happens(push,X5) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ktbTBNbt2K/E---3.1_29979.p',initiates_all_defn) ).

fof(plus1_2,axiom,
    plus(n1,n2) = n3,
    file('/export/starexec/sandbox2/tmp/tmp.ktbTBNbt2K/E---3.1_29979.p',plus1_2) ).

fof(happens_all_defn,axiom,
    ! [X4,X5] :
      ( happens(X4,X5)
    <=> ( ( X4 = push
          & X5 = n0 )
        | ( X4 = pull
          & X5 = n1 )
        | ( X4 = pull
          & X5 = n2 )
        | ( X4 = push
          & X5 = n2 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ktbTBNbt2K/E---3.1_29979.p',happens_all_defn) ).

fof(spinning_3,conjecture,
    holdsAt(spinning,n3),
    file('/export/starexec/sandbox2/tmp/tmp.ktbTBNbt2K/E---3.1_29979.p',spinning_3) ).

fof(c_0_6,plain,
    ! [X19,X20,X21] :
      ( ~ happens(X19,X20)
      | ~ initiates(X19,X21,X20)
      | holdsAt(X21,plus(X20,n1)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_holds])])]) ).

fof(c_0_7,plain,
    ! [X40,X41] : plus(X40,X41) = plus(X41,X40),
    inference(variable_rename,[status(thm)],[symmetry_of_plus]) ).

fof(c_0_8,plain,
    ! [X2,X4,X5] :
      ( epred1_3(X5,X4,X2)
    <=> ( ( X4 = push
          & X2 = forwards
          & ~ happens(pull,X5) )
        | ( X4 = pull
          & X2 = backwards
          & ~ happens(push,X5) )
        | ( X4 = pull
          & X2 = spinning
          & happens(push,X5) ) ) ),
    introduced(definition) ).

cnf(c_0_9,plain,
    ( holdsAt(X3,plus(X2,n1))
    | ~ happens(X1,X2)
    | ~ initiates(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    plus(X1,X2) = plus(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_11,plain,
    ! [X4,X2,X5] :
      ( initiates(X4,X2,X5)
    <=> epred1_3(X5,X4,X2) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[initiates_all_defn]),c_0_8]) ).

cnf(c_0_12,plain,
    ( holdsAt(X1,plus(n1,X2))
    | ~ initiates(X3,X1,X2)
    | ~ happens(X3,X2) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,plain,
    plus(n1,n2) = n3,
    inference(split_conjunct,[status(thm)],[plus1_2]) ).

fof(c_0_14,plain,
    ! [X27,X28,X29] :
      ( ( ~ initiates(X27,X28,X29)
        | epred1_3(X29,X27,X28) )
      & ( ~ epred1_3(X29,X27,X28)
        | initiates(X27,X28,X29) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).

fof(c_0_15,plain,
    ! [X49,X50,X51] :
      ( ( X50 = pull
        | X50 = pull
        | X50 = push
        | ~ epred1_3(X51,X50,X49) )
      & ( X49 = spinning
        | X50 = pull
        | X50 = push
        | ~ epred1_3(X51,X50,X49) )
      & ( happens(push,X51)
        | X50 = pull
        | X50 = push
        | ~ epred1_3(X51,X50,X49) )
      & ( X50 = pull
        | X49 = backwards
        | X50 = push
        | ~ epred1_3(X51,X50,X49) )
      & ( X49 = spinning
        | X49 = backwards
        | X50 = push
        | ~ epred1_3(X51,X50,X49) )
      & ( happens(push,X51)
        | X49 = backwards
        | X50 = push
        | ~ epred1_3(X51,X50,X49) )
      & ( X50 = pull
        | ~ happens(push,X51)
        | X50 = push
        | ~ epred1_3(X51,X50,X49) )
      & ( X49 = spinning
        | ~ happens(push,X51)
        | X50 = push
        | ~ epred1_3(X51,X50,X49) )
      & ( happens(push,X51)
        | ~ happens(push,X51)
        | X50 = push
        | ~ epred1_3(X51,X50,X49) )
      & ( X50 = pull
        | X50 = pull
        | X49 = forwards
        | ~ epred1_3(X51,X50,X49) )
      & ( X49 = spinning
        | X50 = pull
        | X49 = forwards
        | ~ epred1_3(X51,X50,X49) )
      & ( happens(push,X51)
        | X50 = pull
        | X49 = forwards
        | ~ epred1_3(X51,X50,X49) )
      & ( X50 = pull
        | X49 = backwards
        | X49 = forwards
        | ~ epred1_3(X51,X50,X49) )
      & ( X49 = spinning
        | X49 = backwards
        | X49 = forwards
        | ~ epred1_3(X51,X50,X49) )
      & ( happens(push,X51)
        | X49 = backwards
        | X49 = forwards
        | ~ epred1_3(X51,X50,X49) )
      & ( X50 = pull
        | ~ happens(push,X51)
        | X49 = forwards
        | ~ epred1_3(X51,X50,X49) )
      & ( X49 = spinning
        | ~ happens(push,X51)
        | X49 = forwards
        | ~ epred1_3(X51,X50,X49) )
      & ( happens(push,X51)
        | ~ happens(push,X51)
        | X49 = forwards
        | ~ epred1_3(X51,X50,X49) )
      & ( X50 = pull
        | X50 = pull
        | ~ happens(pull,X51)
        | ~ epred1_3(X51,X50,X49) )
      & ( X49 = spinning
        | X50 = pull
        | ~ happens(pull,X51)
        | ~ epred1_3(X51,X50,X49) )
      & ( happens(push,X51)
        | X50 = pull
        | ~ happens(pull,X51)
        | ~ epred1_3(X51,X50,X49) )
      & ( X50 = pull
        | X49 = backwards
        | ~ happens(pull,X51)
        | ~ epred1_3(X51,X50,X49) )
      & ( X49 = spinning
        | X49 = backwards
        | ~ happens(pull,X51)
        | ~ epred1_3(X51,X50,X49) )
      & ( happens(push,X51)
        | X49 = backwards
        | ~ happens(pull,X51)
        | ~ epred1_3(X51,X50,X49) )
      & ( X50 = pull
        | ~ happens(push,X51)
        | ~ happens(pull,X51)
        | ~ epred1_3(X51,X50,X49) )
      & ( X49 = spinning
        | ~ happens(push,X51)
        | ~ happens(pull,X51)
        | ~ epred1_3(X51,X50,X49) )
      & ( happens(push,X51)
        | ~ happens(push,X51)
        | ~ happens(pull,X51)
        | ~ epred1_3(X51,X50,X49) )
      & ( X50 != push
        | X49 != forwards
        | happens(pull,X51)
        | epred1_3(X51,X50,X49) )
      & ( X50 != pull
        | X49 != backwards
        | happens(push,X51)
        | epred1_3(X51,X50,X49) )
      & ( X50 != pull
        | X49 != spinning
        | ~ happens(push,X51)
        | epred1_3(X51,X50,X49) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).

fof(c_0_16,plain,
    ! [X47,X48] :
      ( ( X47 = push
        | X47 = pull
        | X47 = pull
        | X47 = push
        | ~ happens(X47,X48) )
      & ( X48 = n2
        | X47 = pull
        | X47 = pull
        | X47 = push
        | ~ happens(X47,X48) )
      & ( X47 = push
        | X48 = n2
        | X47 = pull
        | X47 = push
        | ~ happens(X47,X48) )
      & ( X48 = n2
        | X48 = n2
        | X47 = pull
        | X47 = push
        | ~ happens(X47,X48) )
      & ( X47 = push
        | X47 = pull
        | X48 = n1
        | X47 = push
        | ~ happens(X47,X48) )
      & ( X48 = n2
        | X47 = pull
        | X48 = n1
        | X47 = push
        | ~ happens(X47,X48) )
      & ( X47 = push
        | X48 = n2
        | X48 = n1
        | X47 = push
        | ~ happens(X47,X48) )
      & ( X48 = n2
        | X48 = n2
        | X48 = n1
        | X47 = push
        | ~ happens(X47,X48) )
      & ( X47 = push
        | X47 = pull
        | X47 = pull
        | X48 = n0
        | ~ happens(X47,X48) )
      & ( X48 = n2
        | X47 = pull
        | X47 = pull
        | X48 = n0
        | ~ happens(X47,X48) )
      & ( X47 = push
        | X48 = n2
        | X47 = pull
        | X48 = n0
        | ~ happens(X47,X48) )
      & ( X48 = n2
        | X48 = n2
        | X47 = pull
        | X48 = n0
        | ~ happens(X47,X48) )
      & ( X47 = push
        | X47 = pull
        | X48 = n1
        | X48 = n0
        | ~ happens(X47,X48) )
      & ( X48 = n2
        | X47 = pull
        | X48 = n1
        | X48 = n0
        | ~ happens(X47,X48) )
      & ( X47 = push
        | X48 = n2
        | X48 = n1
        | X48 = n0
        | ~ happens(X47,X48) )
      & ( X48 = n2
        | X48 = n2
        | X48 = n1
        | X48 = n0
        | ~ happens(X47,X48) )
      & ( X47 != push
        | X48 != n0
        | happens(X47,X48) )
      & ( X47 != pull
        | X48 != n1
        | happens(X47,X48) )
      & ( X47 != pull
        | X48 != n2
        | happens(X47,X48) )
      & ( X47 != push
        | X48 != n2
        | happens(X47,X48) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_all_defn])])])]) ).

fof(c_0_17,negated_conjecture,
    ~ holdsAt(spinning,n3),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[spinning_3])]) ).

cnf(c_0_18,plain,
    ( holdsAt(X1,n3)
    | ~ initiates(X2,X1,n2)
    | ~ happens(X2,n2) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_19,plain,
    ( initiates(X2,X3,X1)
    | ~ epred1_3(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,plain,
    ( epred1_3(X3,X1,X2)
    | X1 != pull
    | X2 != spinning
    | ~ happens(push,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_21,plain,
    ( happens(X1,X2)
    | X1 != pull
    | X2 != n2 ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_22,plain,
    ( happens(X1,X2)
    | X1 != push
    | X2 != n2 ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_23,negated_conjecture,
    ~ holdsAt(spinning,n3),
    inference(fof_nnf,[status(thm)],[c_0_17]) ).

cnf(c_0_24,plain,
    ( holdsAt(X1,n3)
    | ~ epred1_3(n2,X2,X1)
    | ~ happens(X2,n2) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_25,plain,
    ( epred1_3(X1,pull,spinning)
    | ~ happens(push,X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_20])]) ).

cnf(c_0_26,plain,
    happens(pull,n2),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_21])]) ).

cnf(c_0_27,plain,
    happens(push,n2),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_22])]) ).

cnf(c_0_28,negated_conjecture,
    ~ holdsAt(spinning,n3),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_29,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]),c_0_28]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : CSR023+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.09/0.11  % Command    : run_E %s %d THM
% 0.11/0.31  % Computer : n017.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   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Fri May  3 14:22:52 EDT 2024
% 0.11/0.31  % CPUTime    : 
% 0.16/0.42  Running first-order theorem proving
% 0.16/0.42  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.ktbTBNbt2K/E---3.1_29979.p
% 0.16/0.45  # Version: 3.1.0
% 0.16/0.45  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45  # Starting sh5l with 300s (1) cores
% 0.16/0.45  # new_bool_3 with pid 30058 completed with status 0
% 0.16/0.45  # Result found by new_bool_3
% 0.16/0.45  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.45  # Search class: FGHSF-FSLM22-SFFFFFNN
% 0.16/0.45  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 181s (1) cores
% 0.16/0.45  # G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with pid 30062 completed with status 0
% 0.16/0.45  # Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN
% 0.16/0.45  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.45  # Search class: FGHSF-FSLM22-SFFFFFNN
% 0.16/0.45  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 181s (1) cores
% 0.16/0.45  # Preprocessing time       : 0.002 s
% 0.16/0.45  # Presaturation interreduction done
% 0.16/0.45  
% 0.16/0.45  # Proof found!
% 0.16/0.45  # SZS status Theorem
% 0.16/0.45  # SZS output start CNFRefutation
% See solution above
% 0.16/0.45  # Parsed axioms                        : 48
% 0.16/0.45  # Removed by relevancy pruning/SinE    : 17
% 0.16/0.45  # Initial clauses                      : 154
% 0.16/0.45  # Removed in clause preprocessing      : 9
% 0.16/0.45  # Initial clauses in saturation        : 145
% 0.16/0.45  # Processed clauses                    : 432
% 0.16/0.45  # ...of these trivial                  : 3
% 0.16/0.45  # ...subsumed                          : 145
% 0.16/0.45  # ...remaining for further processing  : 284
% 0.16/0.45  # Other redundant clauses eliminated   : 54
% 0.16/0.45  # Clauses deleted for lack of memory   : 0
% 0.16/0.45  # Backward-subsumed                    : 14
% 0.16/0.45  # Backward-rewritten                   : 7
% 0.16/0.45  # Generated clauses                    : 362
% 0.16/0.45  # ...of the previous two non-redundant : 247
% 0.16/0.45  # ...aggressively subsumed             : 0
% 0.16/0.45  # Contextual simplify-reflections      : 4
% 0.16/0.45  # Paramodulations                      : 253
% 0.16/0.45  # Factorizations                       : 66
% 0.16/0.45  # NegExts                              : 0
% 0.16/0.45  # Equation resolutions                 : 54
% 0.16/0.45  # Disequality decompositions           : 0
% 0.16/0.45  # Total rewrite steps                  : 141
% 0.16/0.45  # ...of those cached                   : 117
% 0.16/0.45  # Propositional unsat checks           : 0
% 0.16/0.45  #    Propositional check models        : 0
% 0.16/0.45  #    Propositional check unsatisfiable : 0
% 0.16/0.45  #    Propositional clauses             : 0
% 0.16/0.45  #    Propositional clauses after purity: 0
% 0.16/0.45  #    Propositional unsat core size     : 0
% 0.16/0.45  #    Propositional preprocessing time  : 0.000
% 0.16/0.45  #    Propositional encoding time       : 0.000
% 0.16/0.45  #    Propositional solver time         : 0.000
% 0.16/0.45  #    Success case prop preproc time    : 0.000
% 0.16/0.45  #    Success case prop encoding time   : 0.000
% 0.16/0.45  #    Success case prop solver time     : 0.000
% 0.16/0.45  # Current number of processed clauses  : 165
% 0.16/0.45  #    Positive orientable unit clauses  : 21
% 0.16/0.45  #    Positive unorientable unit clauses: 1
% 0.16/0.45  #    Negative unit clauses             : 21
% 0.16/0.45  #    Non-unit-clauses                  : 122
% 0.16/0.45  # Current number of unprocessed clauses: 20
% 0.16/0.45  # ...number of literals in the above   : 63
% 0.16/0.45  # Current number of archived formulas  : 0
% 0.16/0.45  # Current number of archived clauses   : 104
% 0.16/0.45  # Clause-clause subsumption calls (NU) : 1877
% 0.16/0.45  # Rec. Clause-clause subsumption calls : 1209
% 0.16/0.45  # Non-unit clause-clause subsumptions  : 110
% 0.16/0.45  # Unit Clause-clause subsumption calls : 284
% 0.16/0.45  # Rewrite failures with RHS unbound    : 0
% 0.16/0.45  # BW rewrite match attempts            : 28
% 0.16/0.45  # BW rewrite match successes           : 27
% 0.16/0.45  # Condensation attempts                : 0
% 0.16/0.45  # Condensation successes               : 0
% 0.16/0.45  # Termbank termtop insertions          : 10966
% 0.16/0.45  # Search garbage collected termcells   : 1355
% 0.16/0.45  
% 0.16/0.45  # -------------------------------------------------
% 0.16/0.45  # User time                : 0.019 s
% 0.16/0.45  # System time              : 0.006 s
% 0.16/0.45  # Total time               : 0.025 s
% 0.16/0.45  # Maximum resident set size: 2112 pages
% 0.16/0.45  
% 0.16/0.45  # -------------------------------------------------
% 0.16/0.45  # User time                : 0.020 s
% 0.16/0.45  # System time              : 0.008 s
% 0.16/0.45  # Total time               : 0.028 s
% 0.16/0.45  # Maximum resident set size: 1748 pages
% 0.16/0.45  % E---3.1 exiting
% 0.16/0.45  % E exiting
%------------------------------------------------------------------------------