TSTP Solution File: SEU193+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SEU193+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n031.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 19:25:11 EDT 2023

% Result   : Theorem 0.14s 0.50s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   24 (   6 unt;   0 def)
%            Number of atoms       :  100 (   8 equ)
%            Maximal formula atoms :   32 (   4 avg)
%            Number of connectives :  128 (  52   ~;  56   |;   9   &)
%                                         (   3 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-3 aty)
%            Number of variables   :   47 (   3 sgn;  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t88_relat_1,conjecture,
    ! [X1,X2] :
      ( relation(X2)
     => subset(relation_dom_restriction(X2,X1),X2) ),
    file('/export/starexec/sandbox/tmp/tmp.MdqTYkPxSB/E---3.1_9033.p',t88_relat_1) ).

fof(d3_relat_1,axiom,
    ! [X1] :
      ( relation(X1)
     => ! [X2] :
          ( relation(X2)
         => ( subset(X1,X2)
          <=> ! [X3,X4] :
                ( in(ordered_pair(X3,X4),X1)
               => in(ordered_pair(X3,X4),X2) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.MdqTYkPxSB/E---3.1_9033.p',d3_relat_1) ).

fof(dt_k7_relat_1,axiom,
    ! [X1,X2] :
      ( relation(X1)
     => relation(relation_dom_restriction(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.MdqTYkPxSB/E---3.1_9033.p',dt_k7_relat_1) ).

fof(d11_relat_1,axiom,
    ! [X1] :
      ( relation(X1)
     => ! [X2,X3] :
          ( relation(X3)
         => ( X3 = relation_dom_restriction(X1,X2)
          <=> ! [X4,X5] :
                ( in(ordered_pair(X4,X5),X3)
              <=> ( in(X4,X2)
                  & in(ordered_pair(X4,X5),X1) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.MdqTYkPxSB/E---3.1_9033.p',d11_relat_1) ).

fof(c_0_4,negated_conjecture,
    ~ ! [X1,X2] :
        ( relation(X2)
       => subset(relation_dom_restriction(X2,X1),X2) ),
    inference(assume_negation,[status(cth)],[t88_relat_1]) ).

fof(c_0_5,plain,
    ! [X8,X9,X10,X11] :
      ( ( ~ subset(X8,X9)
        | ~ in(ordered_pair(X10,X11),X8)
        | in(ordered_pair(X10,X11),X9)
        | ~ relation(X9)
        | ~ relation(X8) )
      & ( in(ordered_pair(esk3_2(X8,X9),esk4_2(X8,X9)),X8)
        | subset(X8,X9)
        | ~ relation(X9)
        | ~ relation(X8) )
      & ( ~ in(ordered_pair(esk3_2(X8,X9),esk4_2(X8,X9)),X9)
        | subset(X8,X9)
        | ~ relation(X9)
        | ~ relation(X8) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_relat_1])])])])]) ).

fof(c_0_6,negated_conjecture,
    ( relation(esk2_0)
    & ~ subset(relation_dom_restriction(esk2_0,esk1_0),esk2_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

cnf(c_0_7,plain,
    ( in(ordered_pair(esk3_2(X1,X2),esk4_2(X1,X2)),X1)
    | subset(X1,X2)
    | ~ relation(X2)
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    relation(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_9,plain,
    ! [X26,X27] :
      ( ~ relation(X26)
      | relation(relation_dom_restriction(X26,X27)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_relat_1])]) ).

cnf(c_0_10,negated_conjecture,
    ( subset(X1,esk2_0)
    | in(ordered_pair(esk3_2(X1,esk2_0),esk4_2(X1,esk2_0)),X1)
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,plain,
    ( relation(relation_dom_restriction(X1,X2))
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_12,plain,
    ! [X17,X18,X19,X20,X21,X22,X23] :
      ( ( in(X20,X18)
        | ~ in(ordered_pair(X20,X21),X19)
        | X19 != relation_dom_restriction(X17,X18)
        | ~ relation(X19)
        | ~ relation(X17) )
      & ( in(ordered_pair(X20,X21),X17)
        | ~ in(ordered_pair(X20,X21),X19)
        | X19 != relation_dom_restriction(X17,X18)
        | ~ relation(X19)
        | ~ relation(X17) )
      & ( ~ in(X22,X18)
        | ~ in(ordered_pair(X22,X23),X17)
        | in(ordered_pair(X22,X23),X19)
        | X19 != relation_dom_restriction(X17,X18)
        | ~ relation(X19)
        | ~ relation(X17) )
      & ( ~ in(ordered_pair(esk5_3(X17,X18,X19),esk6_3(X17,X18,X19)),X19)
        | ~ in(esk5_3(X17,X18,X19),X18)
        | ~ in(ordered_pair(esk5_3(X17,X18,X19),esk6_3(X17,X18,X19)),X17)
        | X19 = relation_dom_restriction(X17,X18)
        | ~ relation(X19)
        | ~ relation(X17) )
      & ( in(esk5_3(X17,X18,X19),X18)
        | in(ordered_pair(esk5_3(X17,X18,X19),esk6_3(X17,X18,X19)),X19)
        | X19 = relation_dom_restriction(X17,X18)
        | ~ relation(X19)
        | ~ relation(X17) )
      & ( in(ordered_pair(esk5_3(X17,X18,X19),esk6_3(X17,X18,X19)),X17)
        | in(ordered_pair(esk5_3(X17,X18,X19),esk6_3(X17,X18,X19)),X19)
        | X19 = relation_dom_restriction(X17,X18)
        | ~ relation(X19)
        | ~ relation(X17) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d11_relat_1])])])])])]) ).

cnf(c_0_13,negated_conjecture,
    ( subset(relation_dom_restriction(X1,X2),esk2_0)
    | in(ordered_pair(esk3_2(relation_dom_restriction(X1,X2),esk2_0),esk4_2(relation_dom_restriction(X1,X2),esk2_0)),relation_dom_restriction(X1,X2))
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,plain,
    ( in(ordered_pair(X1,X2),X3)
    | ~ in(ordered_pair(X1,X2),X4)
    | X4 != relation_dom_restriction(X3,X5)
    | ~ relation(X4)
    | ~ relation(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    ~ subset(relation_dom_restriction(esk2_0,esk1_0),esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_16,negated_conjecture,
    ( subset(relation_dom_restriction(esk2_0,X1),esk2_0)
    | in(ordered_pair(esk3_2(relation_dom_restriction(esk2_0,X1),esk2_0),esk4_2(relation_dom_restriction(esk2_0,X1),esk2_0)),relation_dom_restriction(esk2_0,X1)) ),
    inference(spm,[status(thm)],[c_0_13,c_0_8]) ).

cnf(c_0_17,plain,
    ( subset(X1,X2)
    | ~ in(ordered_pair(esk3_2(X1,X2),esk4_2(X1,X2)),X2)
    | ~ relation(X2)
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_18,plain,
    ( in(ordered_pair(X1,X2),X3)
    | ~ relation(X3)
    | ~ in(ordered_pair(X1,X2),relation_dom_restriction(X3,X4)) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_14]),c_0_11]) ).

cnf(c_0_19,negated_conjecture,
    in(ordered_pair(esk3_2(relation_dom_restriction(esk2_0,esk1_0),esk2_0),esk4_2(relation_dom_restriction(esk2_0,esk1_0),esk2_0)),relation_dom_restriction(esk2_0,esk1_0)),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    ( ~ relation(relation_dom_restriction(esk2_0,esk1_0))
    | ~ in(ordered_pair(esk3_2(relation_dom_restriction(esk2_0,esk1_0),esk2_0),esk4_2(relation_dom_restriction(esk2_0,esk1_0),esk2_0)),esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_17]),c_0_8])]) ).

cnf(c_0_21,negated_conjecture,
    in(ordered_pair(esk3_2(relation_dom_restriction(esk2_0,esk1_0),esk2_0),esk4_2(relation_dom_restriction(esk2_0,esk1_0),esk2_0)),esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_8])]) ).

cnf(c_0_22,negated_conjecture,
    ~ relation(relation_dom_restriction(esk2_0,esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21])]) ).

cnf(c_0_23,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_11]),c_0_8])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09  % Problem    : SEU193+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.10  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n031.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 2400
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Mon Oct  2 09:43:28 EDT 2023
% 0.10/0.30  % CPUTime    : 
% 0.14/0.40  Running first-order theorem proving
% 0.14/0.40  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/tmp/tmp.MdqTYkPxSB/E---3.1_9033.p
% 0.14/0.50  # Version: 3.1pre001
% 0.14/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.14/0.50  # Starting sh5l with 300s (1) cores
% 0.14/0.50  # sh5l with pid 9115 completed with status 0
% 0.14/0.50  # Result found by sh5l
% 0.14/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.14/0.50  # Starting sh5l with 300s (1) cores
% 0.14/0.50  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.14/0.50  # Search class: FGHSM-FFMM31-SFFFFFNN
% 0.14/0.50  # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.50  # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 0.14/0.50  # G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 9120 completed with status 0
% 0.14/0.50  # Result found by G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.14/0.50  # Starting sh5l with 300s (1) cores
% 0.14/0.50  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.14/0.50  # Search class: FGHSM-FFMM31-SFFFFFNN
% 0.14/0.50  # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.50  # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 0.14/0.50  # Preprocessing time       : 0.001 s
% 0.14/0.50  # Presaturation interreduction done
% 0.14/0.50  
% 0.14/0.50  # Proof found!
% 0.14/0.50  # SZS status Theorem
% 0.14/0.50  # SZS output start CNFRefutation
% See solution above
% 0.14/0.50  # Parsed axioms                        : 36
% 0.14/0.50  # Removed by relevancy pruning/SinE    : 6
% 0.14/0.50  # Initial clauses                      : 44
% 0.14/0.50  # Removed in clause preprocessing      : 0
% 0.14/0.50  # Initial clauses in saturation        : 44
% 0.14/0.50  # Processed clauses                    : 842
% 0.14/0.50  # ...of these trivial                  : 77
% 0.14/0.50  # ...subsumed                          : 293
% 0.14/0.50  # ...remaining for further processing  : 472
% 0.14/0.50  # Other redundant clauses eliminated   : 3
% 0.14/0.50  # Clauses deleted for lack of memory   : 0
% 0.14/0.50  # Backward-subsumed                    : 21
% 0.14/0.50  # Backward-rewritten                   : 24
% 0.14/0.50  # Generated clauses                    : 4828
% 0.14/0.50  # ...of the previous two non-redundant : 2918
% 0.14/0.50  # ...aggressively subsumed             : 0
% 0.14/0.50  # Contextual simplify-reflections      : 17
% 0.14/0.50  # Paramodulations                      : 4820
% 0.14/0.50  # Factorizations                       : 4
% 0.14/0.50  # NegExts                              : 0
% 0.14/0.50  # Equation resolutions                 : 3
% 0.14/0.50  # Total rewrite steps                  : 2299
% 0.14/0.50  # Propositional unsat checks           : 0
% 0.14/0.50  #    Propositional check models        : 0
% 0.14/0.50  #    Propositional check unsatisfiable : 0
% 0.14/0.50  #    Propositional clauses             : 0
% 0.14/0.50  #    Propositional clauses after purity: 0
% 0.14/0.50  #    Propositional unsat core size     : 0
% 0.14/0.50  #    Propositional preprocessing time  : 0.000
% 0.14/0.50  #    Propositional encoding time       : 0.000
% 0.14/0.50  #    Propositional solver time         : 0.000
% 0.14/0.50  #    Success case prop preproc time    : 0.000
% 0.14/0.50  #    Success case prop encoding time   : 0.000
% 0.14/0.50  #    Success case prop solver time     : 0.000
% 0.14/0.50  # Current number of processed clauses  : 380
% 0.14/0.50  #    Positive orientable unit clauses  : 107
% 0.14/0.50  #    Positive unorientable unit clauses: 2
% 0.14/0.50  #    Negative unit clauses             : 87
% 0.14/0.50  #    Non-unit-clauses                  : 184
% 0.14/0.50  # Current number of unprocessed clauses: 2016
% 0.14/0.50  # ...number of literals in the above   : 7041
% 0.14/0.50  # Current number of archived formulas  : 0
% 0.14/0.50  # Current number of archived clauses   : 89
% 0.14/0.50  # Clause-clause subsumption calls (NU) : 8563
% 0.14/0.50  # Rec. Clause-clause subsumption calls : 5140
% 0.14/0.50  # Non-unit clause-clause subsumptions  : 155
% 0.14/0.50  # Unit Clause-clause subsumption calls : 3009
% 0.14/0.50  # Rewrite failures with RHS unbound    : 0
% 0.14/0.50  # BW rewrite match attempts            : 123
% 0.14/0.50  # BW rewrite match successes           : 19
% 0.14/0.50  # Condensation attempts                : 0
% 0.14/0.50  # Condensation successes               : 0
% 0.14/0.50  # Termbank termtop insertions          : 69715
% 0.14/0.50  
% 0.14/0.50  # -------------------------------------------------
% 0.14/0.50  # User time                : 0.083 s
% 0.14/0.50  # System time              : 0.002 s
% 0.14/0.50  # Total time               : 0.085 s
% 0.14/0.50  # Maximum resident set size: 1856 pages
% 0.14/0.50  
% 0.14/0.50  # -------------------------------------------------
% 0.14/0.50  # User time                : 0.084 s
% 0.14/0.50  # System time              : 0.003 s
% 0.14/0.50  # Total time               : 0.088 s
% 0.14/0.50  # Maximum resident set size: 1700 pages
% 0.14/0.50  % E---3.1 exiting
% 0.14/0.50  % E---3.1 exiting
%------------------------------------------------------------------------------