TSTP Solution File: GEO305+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GEO305+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n024.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 17:34:49 EDT 2023

% Result   : Theorem 0.15s 0.68s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   28 (  20 unt;   0 def)
%            Number of atoms       :   92 (  30 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  104 (  40   ~;  32   |;  31   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-2 aty)
%            Number of variables   :   32 (   0 sgn;  13   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))',axiom,
    ! [X4,X5,X6,X7,X8] :
      ( ( X7 = X8
        & ron(X5,X7)
        & ron(X4,X7)
        & rR(X5,X4,X6)
        & rline(X8)
        & ? [X9] :
            ( X6 = X9
            & rpoint(X9) )
        & ? [X10] :
            ( X5 = X10
            & rpoint(X10) )
        & ? [X11] :
            ( X4 = X11
            & rpoint(X11) ) )
     => ron(X6,X7) ),
    file('/export/starexec/sandbox2/tmp/tmp.Y2tYSlC1Pe/E---3.1_29690.p','qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))') ).

fof('and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))',axiom,
    ( vf(vd1287,vd1288) = vf(vd1287,vd1289)
    & vd1288 != vd1289
    & vd1287 != vd1289
    & vd1287 != vd1288
    & ? [X1] :
        ( vd1289 = X1
        & rpoint(X1) )
    & ? [X2] :
        ( vd1288 = X2
        & rpoint(X2) )
    & ? [X3] :
        ( vd1287 = X3
        & rpoint(X3) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Y2tYSlC1Pe/E---3.1_29690.p','and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))') ).

fof('and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))',axiom,
    ( vd1302 = vd1303
    & rR(vd1289,vd1287,vd1302)
    & rpoint(vd1303)
    & rR(vd1288,vd1287,vd1299) ),
    file('/export/starexec/sandbox2/tmp/tmp.Y2tYSlC1Pe/E---3.1_29690.p','and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))') ).

fof('pred(conjunct2(349), 0)',conjecture,
    ron(vd1302,vd1297),
    file('/export/starexec/sandbox2/tmp/tmp.Y2tYSlC1Pe/E---3.1_29690.p','pred(conjunct2(349), 0)') ).

fof('pred(347, 0)',axiom,
    rline(vd1297),
    file('/export/starexec/sandbox2/tmp/tmp.Y2tYSlC1Pe/E---3.1_29690.p','pred(347, 0)') ).

fof('pred(s1(plural(347)), 0)',axiom,
    ron(vd1287,vd1297),
    file('/export/starexec/sandbox2/tmp/tmp.Y2tYSlC1Pe/E---3.1_29690.p','pred(s1(plural(347)), 0)') ).

fof('pred(s2(plural(347)), 0)',axiom,
    ron(vd1289,vd1297),
    file('/export/starexec/sandbox2/tmp/tmp.Y2tYSlC1Pe/E---3.1_29690.p','pred(s2(plural(347)), 0)') ).

fof(c_0_7,plain,
    ! [X764,X765,X766,X767,X768,X769,X770,X771] :
      ( X767 != X768
      | ~ ron(X765,X767)
      | ~ ron(X764,X767)
      | ~ rR(X765,X764,X766)
      | ~ rline(X768)
      | X766 != X769
      | ~ rpoint(X769)
      | X765 != X770
      | ~ rpoint(X770)
      | X764 != X771
      | ~ rpoint(X771)
      | ron(X766,X767) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))'])])]) ).

fof(c_0_8,plain,
    ( vf(vd1287,vd1288) = vf(vd1287,vd1289)
    & vd1288 != vd1289
    & vd1287 != vd1289
    & vd1287 != vd1288
    & vd1289 = esk1_0
    & rpoint(esk1_0)
    & vd1288 = esk2_0
    & rpoint(esk2_0)
    & vd1287 = esk3_0
    & rpoint(esk3_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))'])]) ).

cnf(c_0_9,plain,
    ( ron(X5,X1)
    | X1 != X2
    | ~ ron(X3,X1)
    | ~ ron(X4,X1)
    | ~ rR(X3,X4,X5)
    | ~ rline(X2)
    | X5 != X6
    | ~ rpoint(X6)
    | X3 != X7
    | ~ rpoint(X7)
    | X4 != X8
    | ~ rpoint(X8) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,plain,
    rpoint(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_11,plain,
    vd1287 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,plain,
    rpoint(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    vd1289 = esk1_0,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_14,plain,
    rpoint(vd1303),
    inference(split_conjunct,[status(thm)],['and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))']) ).

cnf(c_0_15,plain,
    vd1302 = vd1303,
    inference(split_conjunct,[status(thm)],['and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))']) ).

fof(c_0_16,negated_conjecture,
    ~ ron(vd1302,vd1297),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['pred(conjunct2(349), 0)'])]) ).

cnf(c_0_17,plain,
    ( ron(X1,X2)
    | ~ rline(X2)
    | ~ rpoint(X3)
    | ~ rpoint(X4)
    | ~ rpoint(X1)
    | ~ rR(X4,X3,X1)
    | ~ ron(X3,X2)
    | ~ ron(X4,X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_9])])])]) ).

cnf(c_0_18,plain,
    rR(vd1289,vd1287,vd1302),
    inference(split_conjunct,[status(thm)],['and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))']) ).

cnf(c_0_19,plain,
    rpoint(vd1287),
    inference(rw,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_20,plain,
    rpoint(vd1289),
    inference(rw,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_21,plain,
    rpoint(vd1302),
    inference(rw,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_22,negated_conjecture,
    ~ ron(vd1302,vd1297),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_23,plain,
    ( ron(vd1302,X1)
    | ~ rline(X1)
    | ~ ron(vd1287,X1)
    | ~ ron(vd1289,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20]),c_0_21])]) ).

cnf(c_0_24,plain,
    rline(vd1297),
    inference(split_conjunct,[status(thm)],['pred(347, 0)']) ).

cnf(c_0_25,plain,
    ron(vd1287,vd1297),
    inference(split_conjunct,[status(thm)],['pred(s1(plural(347)), 0)']) ).

cnf(c_0_26,plain,
    ron(vd1289,vd1297),
    inference(split_conjunct,[status(thm)],['pred(s2(plural(347)), 0)']) ).

cnf(c_0_27,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25]),c_0_26])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : GEO305+1 : TPTP v8.1.2. Released v4.1.0.
% 0.05/0.10  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n024.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 06:48:56 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.15/0.43  Running first-order model finding
% 0.15/0.43  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.Y2tYSlC1Pe/E---3.1_29690.p
% 0.15/0.68  # Version: 3.1pre001
% 0.15/0.68  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.68  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.68  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.68  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.68  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.68  # Starting sh5l with 300s (1) cores
% 0.15/0.68  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 29769 completed with status 0
% 0.15/0.68  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.15/0.68  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.68  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.68  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.68  # No SInE strategy applied
% 0.15/0.68  # Search class: FGHSF-FSLM33-SFFFFFNN
% 0.15/0.68  # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.68  # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 0.15/0.68  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.15/0.68  # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 0.15/0.68  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 0.15/0.68  # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 0.15/0.68  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 29777 completed with status 0
% 0.15/0.68  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.15/0.68  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.68  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.68  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.68  # No SInE strategy applied
% 0.15/0.68  # Search class: FGHSF-FSLM33-SFFFFFNN
% 0.15/0.68  # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.68  # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 0.15/0.68  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.15/0.68  # Preprocessing time       : 0.018 s
% 0.15/0.68  # Presaturation interreduction done
% 0.15/0.68  
% 0.15/0.68  # Proof found!
% 0.15/0.68  # SZS status Theorem
% 0.15/0.68  # SZS output start CNFRefutation
% See solution above
% 0.15/0.68  # Parsed axioms                        : 125
% 0.15/0.68  # Removed by relevancy pruning/SinE    : 0
% 0.15/0.68  # Initial clauses                      : 292
% 0.15/0.68  # Removed in clause preprocessing      : 2
% 0.15/0.68  # Initial clauses in saturation        : 290
% 0.15/0.68  # Processed clauses                    : 805
% 0.15/0.68  # ...of these trivial                  : 0
% 0.15/0.68  # ...subsumed                          : 40
% 0.15/0.68  # ...remaining for further processing  : 765
% 0.15/0.68  # Other redundant clauses eliminated   : 1199
% 0.15/0.68  # Clauses deleted for lack of memory   : 0
% 0.15/0.68  # Backward-subsumed                    : 1
% 0.15/0.68  # Backward-rewritten                   : 2
% 0.15/0.68  # Generated clauses                    : 621
% 0.15/0.68  # ...of the previous two non-redundant : 593
% 0.15/0.68  # ...aggressively subsumed             : 0
% 0.15/0.68  # Contextual simplify-reflections      : 9
% 0.15/0.68  # Paramodulations                      : 356
% 0.15/0.68  # Factorizations                       : 0
% 0.15/0.68  # NegExts                              : 0
% 0.15/0.68  # Equation resolutions                 : 1200
% 0.15/0.68  # Total rewrite steps                  : 213
% 0.15/0.68  # Propositional unsat checks           : 0
% 0.15/0.68  #    Propositional check models        : 0
% 0.15/0.68  #    Propositional check unsatisfiable : 0
% 0.15/0.68  #    Propositional clauses             : 0
% 0.15/0.68  #    Propositional clauses after purity: 0
% 0.15/0.68  #    Propositional unsat core size     : 0
% 0.15/0.68  #    Propositional preprocessing time  : 0.000
% 0.15/0.68  #    Propositional encoding time       : 0.000
% 0.15/0.68  #    Propositional solver time         : 0.000
% 0.15/0.68  #    Success case prop preproc time    : 0.000
% 0.15/0.68  #    Success case prop encoding time   : 0.000
% 0.15/0.68  #    Success case prop solver time     : 0.000
% 0.15/0.68  # Current number of processed clauses  : 216
% 0.15/0.68  #    Positive orientable unit clauses  : 29
% 0.15/0.68  #    Positive unorientable unit clauses: 0
% 0.15/0.68  #    Negative unit clauses             : 14
% 0.15/0.68  #    Non-unit-clauses                  : 173
% 0.15/0.68  # Current number of unprocessed clauses: 311
% 0.15/0.68  # ...number of literals in the above   : 2512
% 0.15/0.68  # Current number of archived formulas  : 0
% 0.15/0.68  # Current number of archived clauses   : 291
% 0.15/0.68  # Clause-clause subsumption calls (NU) : 222999
% 0.15/0.68  # Rec. Clause-clause subsumption calls : 4981
% 0.15/0.68  # Non-unit clause-clause subsumptions  : 48
% 0.15/0.68  # Unit Clause-clause subsumption calls : 140
% 0.15/0.68  # Rewrite failures with RHS unbound    : 0
% 0.15/0.68  # BW rewrite match attempts            : 2
% 0.15/0.68  # BW rewrite match successes           : 2
% 0.15/0.68  # Condensation attempts                : 0
% 0.15/0.68  # Condensation successes               : 0
% 0.15/0.68  # Termbank termtop insertions          : 67286
% 0.15/0.68  
% 0.15/0.68  # -------------------------------------------------
% 0.15/0.68  # User time                : 0.219 s
% 0.15/0.68  # System time              : 0.010 s
% 0.15/0.68  # Total time               : 0.229 s
% 0.15/0.68  # Maximum resident set size: 4424 pages
% 0.15/0.68  
% 0.15/0.68  # -------------------------------------------------
% 0.15/0.68  # User time                : 0.954 s
% 0.15/0.68  # System time              : 0.027 s
% 0.15/0.68  # Total time               : 0.980 s
% 0.15/0.68  # Maximum resident set size: 2552 pages
% 0.15/0.68  % E---3.1 exiting
%------------------------------------------------------------------------------