TSTP Solution File: GEO342+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GEO342+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n009.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 17:34:55 EDT 2023

% Result   : Theorem 1.68s 0.65s
% Output   : CNFRefutation 1.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   24 (   9 unt;   0 def)
%            Number of atoms       :  107 (  42 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  132 (  49   ~;  46   |;  36   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :   35 (   0 sgn;   7   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('qe(thee(the(408), 1))',conjecture,
    ? [X1] :
      ( ron(vd1399,X1)
      & ron(vd1401,X1)
      & rline(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.MRfv3RX2i7/E---3.1_31303.p','qe(thee(the(408), 1))') ).

fof('qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))',axiom,
    ! [X123,X124] :
      ( ( X123 != X124
        & ? [X125] :
            ( X124 = X125
            & rpoint(X125) )
        & ? [X126] :
            ( X123 = X126
            & rpoint(X126) ) )
     => ? [X127] :
          ( ron(X124,X127)
          & ron(X123,X127)
          & rline(X127) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.MRfv3RX2i7/E---3.1_31303.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).

fof('and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))',axiom,
    ( vd1406 = vd1407
    & ron(vd1400,vd1406)
    & ron(vd1399,vd1406)
    & rline(vd1407)
    & vd1400 != vd1401
    & vd1399 != vd1401
    & vd1399 != vd1400
    & ? [X2] :
        ( vd1401 = X2
        & rpoint(X2) )
    & ? [X3] :
        ( vd1400 = X3
        & rpoint(X3) )
    & ? [X4] :
        ( vd1399 = X4
        & rpoint(X4) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.MRfv3RX2i7/E---3.1_31303.p','and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))') ).

fof(c_0_3,negated_conjecture,
    ~ ? [X1] :
        ( ron(vd1399,X1)
        & ron(vd1401,X1)
        & rline(X1) ),
    inference(assume_negation,[status(cth)],['qe(thee(the(408), 1))']) ).

fof(c_0_4,plain,
    ! [X966,X967,X968,X969] :
      ( ( ron(X967,esk8_2(X966,X967))
        | X966 = X967
        | X967 != X968
        | ~ rpoint(X968)
        | X966 != X969
        | ~ rpoint(X969) )
      & ( ron(X966,esk8_2(X966,X967))
        | X966 = X967
        | X967 != X968
        | ~ rpoint(X968)
        | X966 != X969
        | ~ rpoint(X969) )
      & ( rline(esk8_2(X966,X967))
        | X966 = X967
        | X967 != X968
        | ~ rpoint(X968)
        | X966 != X969
        | ~ rpoint(X969) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))'])])])])]) ).

fof(c_0_5,plain,
    ( vd1406 = vd1407
    & ron(vd1400,vd1406)
    & ron(vd1399,vd1406)
    & rline(vd1407)
    & vd1400 != vd1401
    & vd1399 != vd1401
    & vd1399 != vd1400
    & vd1401 = esk1_0
    & rpoint(esk1_0)
    & vd1400 = esk2_0
    & rpoint(esk2_0)
    & vd1399 = esk3_0
    & rpoint(esk3_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))'])]) ).

fof(c_0_6,negated_conjecture,
    ! [X778] :
      ( ~ ron(vd1399,X778)
      | ~ ron(vd1401,X778)
      | ~ rline(X778) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).

cnf(c_0_7,plain,
    ( ron(X1,esk8_2(X2,X1))
    | X2 = X1
    | X1 != X3
    | ~ rpoint(X3)
    | X2 != X4
    | ~ rpoint(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    rpoint(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    vd1399 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,negated_conjecture,
    ( ~ ron(vd1399,X1)
    | ~ ron(vd1401,X1)
    | ~ rline(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,plain,
    ( X1 = X2
    | ron(X1,esk8_2(X2,X1))
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_7])]) ).

cnf(c_0_12,plain,
    rpoint(vd1399),
    inference(rw,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,plain,
    ( ron(X1,esk8_2(X1,X2))
    | X1 = X2
    | X2 != X3
    | ~ rpoint(X3)
    | X1 != X4
    | ~ rpoint(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_14,plain,
    rpoint(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_15,plain,
    vd1401 = esk1_0,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_16,negated_conjecture,
    ( vd1399 = X1
    | ~ rpoint(X1)
    | ~ rline(esk8_2(X1,vd1399))
    | ~ ron(vd1401,esk8_2(X1,vd1399)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).

cnf(c_0_17,plain,
    ( X1 = X2
    | ron(X1,esk8_2(X1,X2))
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_13])]) ).

cnf(c_0_18,plain,
    rpoint(vd1401),
    inference(rw,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_19,plain,
    vd1399 != vd1401,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_20,plain,
    ( rline(esk8_2(X1,X2))
    | X1 = X2
    | X2 != X3
    | ~ rpoint(X3)
    | X1 != X4
    | ~ rpoint(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_21,negated_conjecture,
    ~ rline(esk8_2(vd1401,vd1399)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_12])]),c_0_19]) ).

cnf(c_0_22,plain,
    ( X1 = X2
    | rline(esk8_2(X1,X2))
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_20])]) ).

cnf(c_0_23,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_18]),c_0_12])]),c_0_19]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : GEO342+1 : TPTP v8.1.2. Released v4.1.0.
% 0.02/0.10  % Command    : run_E %s %d THM
% 0.09/0.29  % Computer : n009.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 2400
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Tue Oct  3 06:23:14 EDT 2023
% 0.09/0.30  % CPUTime    : 
% 0.14/0.41  Running first-order model finding
% 0.14/0.41  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.MRfv3RX2i7/E---3.1_31303.p
% 1.68/0.65  # Version: 3.1pre001
% 1.68/0.65  # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.68/0.65  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.68/0.65  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.68/0.65  # Starting new_bool_3 with 300s (1) cores
% 1.68/0.65  # Starting new_bool_1 with 300s (1) cores
% 1.68/0.65  # Starting sh5l with 300s (1) cores
% 1.68/0.65  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 31380 completed with status 0
% 1.68/0.65  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 1.68/0.65  # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.68/0.65  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.68/0.65  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.68/0.65  # No SInE strategy applied
% 1.68/0.65  # Search class: FGHSF-FSLM33-SFFFFFNN
% 1.68/0.65  # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 1.68/0.65  # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 1.68/0.65  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1.68/0.65  # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 1.68/0.65  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 1.68/0.65  # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 1.68/0.65  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 31387 completed with status 0
% 1.68/0.65  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 1.68/0.65  # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.68/0.65  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.68/0.65  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.68/0.65  # No SInE strategy applied
% 1.68/0.65  # Search class: FGHSF-FSLM33-SFFFFFNN
% 1.68/0.65  # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 1.68/0.65  # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 1.68/0.65  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1.68/0.65  # Preprocessing time       : 0.017 s
% 1.68/0.65  # Presaturation interreduction done
% 1.68/0.65  
% 1.68/0.65  # Proof found!
% 1.68/0.65  # SZS status Theorem
% 1.68/0.65  # SZS output start CNFRefutation
% See solution above
% 1.68/0.65  # Parsed axioms                        : 124
% 1.68/0.65  # Removed by relevancy pruning/SinE    : 0
% 1.68/0.65  # Initial clauses                      : 291
% 1.68/0.65  # Removed in clause preprocessing      : 2
% 1.68/0.65  # Initial clauses in saturation        : 289
% 1.68/0.65  # Processed clauses                    : 695
% 1.68/0.65  # ...of these trivial                  : 5
% 1.68/0.65  # ...subsumed                          : 6
% 1.68/0.65  # ...remaining for further processing  : 684
% 1.68/0.65  # Other redundant clauses eliminated   : 1208
% 1.68/0.65  # Clauses deleted for lack of memory   : 0
% 1.68/0.65  # Backward-subsumed                    : 0
% 1.68/0.65  # Backward-rewritten                   : 2
% 1.68/0.65  # Generated clauses                    : 364
% 1.68/0.65  # ...of the previous two non-redundant : 353
% 1.68/0.65  # ...aggressively subsumed             : 0
% 1.68/0.65  # Contextual simplify-reflections      : 8
% 1.68/0.65  # Paramodulations                      : 100
% 1.68/0.65  # Factorizations                       : 0
% 1.68/0.65  # NegExts                              : 0
% 1.68/0.65  # Equation resolutions                 : 1209
% 1.68/0.65  # Total rewrite steps                  : 82
% 1.68/0.65  # Propositional unsat checks           : 0
% 1.68/0.65  #    Propositional check models        : 0
% 1.68/0.65  #    Propositional check unsatisfiable : 0
% 1.68/0.65  #    Propositional clauses             : 0
% 1.68/0.65  #    Propositional clauses after purity: 0
% 1.68/0.65  #    Propositional unsat core size     : 0
% 1.68/0.65  #    Propositional preprocessing time  : 0.000
% 1.68/0.65  #    Propositional encoding time       : 0.000
% 1.68/0.65  #    Propositional solver time         : 0.000
% 1.68/0.65  #    Success case prop preproc time    : 0.000
% 1.68/0.65  #    Success case prop encoding time   : 0.000
% 1.68/0.65  #    Success case prop solver time     : 0.000
% 1.68/0.65  # Current number of processed clauses  : 134
% 1.68/0.65  #    Positive orientable unit clauses  : 28
% 1.68/0.65  #    Positive unorientable unit clauses: 0
% 1.68/0.65  #    Negative unit clauses             : 9
% 1.68/0.65  #    Non-unit-clauses                  : 97
% 1.68/0.65  # Current number of unprocessed clauses: 221
% 1.68/0.65  # ...number of literals in the above   : 2108
% 1.68/0.65  # Current number of archived formulas  : 0
% 1.68/0.65  # Current number of archived clauses   : 289
% 1.68/0.65  # Clause-clause subsumption calls (NU) : 240169
% 1.68/0.65  # Rec. Clause-clause subsumption calls : 4558
% 1.68/0.65  # Non-unit clause-clause subsumptions  : 13
% 1.68/0.65  # Unit Clause-clause subsumption calls : 56
% 1.68/0.65  # Rewrite failures with RHS unbound    : 0
% 1.68/0.65  # BW rewrite match attempts            : 1
% 1.68/0.65  # BW rewrite match successes           : 1
% 1.68/0.65  # Condensation attempts                : 0
% 1.68/0.65  # Condensation successes               : 0
% 1.68/0.65  # Termbank termtop insertions          : 63589
% 1.68/0.65  
% 1.68/0.65  # -------------------------------------------------
% 1.68/0.65  # User time                : 0.210 s
% 1.68/0.65  # System time              : 0.003 s
% 1.68/0.65  # Total time               : 0.213 s
% 1.68/0.65  # Maximum resident set size: 4468 pages
% 1.68/0.65  
% 1.68/0.65  # -------------------------------------------------
% 1.68/0.65  # User time                : 0.923 s
% 1.68/0.65  # System time              : 0.022 s
% 1.68/0.65  # Total time               : 0.944 s
% 1.68/0.65  # Maximum resident set size: 2568 pages
% 1.68/0.65  % E---3.1 exiting
%------------------------------------------------------------------------------