TSTP Solution File: LCL506+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : LCL506+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n021.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 18:25:06 EDT 2023

% Result   : Theorem 0.19s 0.49s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   8 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   19 (   9   ~;   6   |;   2   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   12 (   2 sgn;   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(and_1,axiom,
    ( and_1
  <=> ! [X1,X2] : is_a_theorem(implies(and(X1,X2),X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.xY7qdN40l9/E---3.1_12535.p',and_1) ).

fof(hilbert_and_1,conjecture,
    and_1,
    file('/export/starexec/sandbox2/tmp/tmp.xY7qdN40l9/E---3.1_12535.p',hilbert_and_1) ).

fof(kn2,axiom,
    ( kn2
  <=> ! [X4,X5] : is_a_theorem(implies(and(X4,X5),X4)) ),
    file('/export/starexec/sandbox2/tmp/tmp.xY7qdN40l9/E---3.1_12535.p',kn2) ).

fof(rosser_kn2,axiom,
    kn2,
    file('/export/starexec/sandbox2/tmp/tmp.xY7qdN40l9/E---3.1_12535.p',rosser_kn2) ).

fof(c_0_4,plain,
    ! [X7,X8] :
      ( ( ~ and_1
        | is_a_theorem(implies(and(X7,X8),X7)) )
      & ( ~ is_a_theorem(implies(and(esk1_0,esk2_0),esk1_0))
        | and_1 ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[and_1])])])]) ).

fof(c_0_5,negated_conjecture,
    ~ and_1,
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[hilbert_and_1])]) ).

fof(c_0_6,plain,
    ! [X13,X14] :
      ( ( ~ kn2
        | is_a_theorem(implies(and(X13,X14),X13)) )
      & ( ~ is_a_theorem(implies(and(esk4_0,esk5_0),esk4_0))
        | kn2 ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kn2])])])]) ).

cnf(c_0_7,plain,
    ( and_1
    | ~ is_a_theorem(implies(and(esk1_0,esk2_0),esk1_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    ~ and_1,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( is_a_theorem(implies(and(X1,X2),X1))
    | ~ kn2 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    kn2,
    inference(split_conjunct,[status(thm)],[rosser_kn2]) ).

cnf(c_0_11,plain,
    ~ is_a_theorem(implies(and(esk1_0,esk2_0),esk1_0)),
    inference(sr,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_12,plain,
    is_a_theorem(implies(and(X1,X2),X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]) ).

cnf(c_0_13,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : LCL506+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 2400
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Oct  2 13:07:44 EDT 2023
% 0.12/0.34  % CPUTime    : 
% 0.19/0.47  Running first-order model finding
% 0.19/0.47  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.xY7qdN40l9/E---3.1_12535.p
% 0.19/0.49  # Version: 3.1pre001
% 0.19/0.49  # Preprocessing class: FSMSSLSSSSSNFFN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.19/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49  # Starting sh5l with 300s (1) cores
% 0.19/0.49  # sh5l with pid 12615 completed with status 0
% 0.19/0.49  # Result found by sh5l
% 0.19/0.49  # Preprocessing class: FSMSSLSSSSSNFFN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.19/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49  # Starting sh5l with 300s (1) cores
% 0.19/0.49  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.49  # Search class: FGUSF-FFSM21-MFFFFFNN
% 0.19/0.49  # partial match(1): FGUSF-FFMM21-MFFFFFNN
% 0.19/0.49  # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 135s (1) cores
% 0.19/0.49  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with pid 12618 completed with status 0
% 0.19/0.49  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
% 0.19/0.49  # Preprocessing class: FSMSSLSSSSSNFFN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.19/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49  # Starting sh5l with 300s (1) cores
% 0.19/0.49  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.49  # Search class: FGUSF-FFSM21-MFFFFFNN
% 0.19/0.49  # partial match(1): FGUSF-FFMM21-MFFFFFNN
% 0.19/0.49  # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 135s (1) cores
% 0.19/0.49  # Preprocessing time       : 0.002 s
% 0.19/0.49  # Presaturation interreduction done
% 0.19/0.49  
% 0.19/0.49  # Proof found!
% 0.19/0.49  # SZS status Theorem
% 0.19/0.49  # SZS output start CNFRefutation
% See solution above
% 0.19/0.49  # Parsed axioms                        : 43
% 0.19/0.49  # Removed by relevancy pruning/SinE    : 21
% 0.19/0.49  # Initial clauses                      : 31
% 0.19/0.49  # Removed in clause preprocessing      : 0
% 0.19/0.49  # Initial clauses in saturation        : 31
% 0.19/0.49  # Processed clauses                    : 22
% 0.19/0.49  # ...of these trivial                  : 7
% 0.19/0.49  # ...subsumed                          : 1
% 0.19/0.49  # ...remaining for further processing  : 14
% 0.19/0.49  # Other redundant clauses eliminated   : 0
% 0.19/0.49  # Clauses deleted for lack of memory   : 0
% 0.19/0.49  # Backward-subsumed                    : 0
% 0.19/0.49  # Backward-rewritten                   : 1
% 0.19/0.49  # Generated clauses                    : 0
% 0.19/0.49  # ...of the previous two non-redundant : 0
% 0.19/0.49  # ...aggressively subsumed             : 0
% 0.19/0.49  # Contextual simplify-reflections      : 0
% 0.19/0.49  # Paramodulations                      : 0
% 0.19/0.49  # Factorizations                       : 0
% 0.19/0.49  # NegExts                              : 0
% 0.19/0.49  # Equation resolutions                 : 0
% 0.19/0.49  # Total rewrite steps                  : 11
% 0.19/0.49  # Propositional unsat checks           : 0
% 0.19/0.49  #    Propositional check models        : 0
% 0.19/0.49  #    Propositional check unsatisfiable : 0
% 0.19/0.49  #    Propositional clauses             : 0
% 0.19/0.49  #    Propositional clauses after purity: 0
% 0.19/0.49  #    Propositional unsat core size     : 0
% 0.19/0.49  #    Propositional preprocessing time  : 0.000
% 0.19/0.49  #    Propositional encoding time       : 0.000
% 0.19/0.49  #    Propositional solver time         : 0.000
% 0.19/0.49  #    Success case prop preproc time    : 0.000
% 0.19/0.49  #    Success case prop encoding time   : 0.000
% 0.19/0.49  #    Success case prop solver time     : 0.000
% 0.19/0.49  # Current number of processed clauses  : 13
% 0.19/0.49  #    Positive orientable unit clauses  : 9
% 0.19/0.49  #    Positive unorientable unit clauses: 0
% 0.19/0.49  #    Negative unit clauses             : 1
% 0.19/0.49  #    Non-unit-clauses                  : 3
% 0.19/0.49  # Current number of unprocessed clauses: 9
% 0.19/0.49  # ...number of literals in the above   : 18
% 0.19/0.49  # Current number of archived formulas  : 0
% 0.19/0.49  # Current number of archived clauses   : 1
% 0.19/0.49  # Clause-clause subsumption calls (NU) : 2
% 0.19/0.49  # Rec. Clause-clause subsumption calls : 2
% 0.19/0.49  # Non-unit clause-clause subsumptions  : 0
% 0.19/0.49  # Unit Clause-clause subsumption calls : 0
% 0.19/0.49  # Rewrite failures with RHS unbound    : 0
% 0.19/0.49  # BW rewrite match attempts            : 1
% 0.19/0.49  # BW rewrite match successes           : 1
% 0.19/0.49  # Condensation attempts                : 0
% 0.19/0.49  # Condensation successes               : 0
% 0.19/0.49  # Termbank termtop insertions          : 1486
% 0.19/0.49  
% 0.19/0.49  # -------------------------------------------------
% 0.19/0.49  # User time                : 0.005 s
% 0.19/0.49  # System time              : 0.002 s
% 0.19/0.49  # Total time               : 0.007 s
% 0.19/0.49  # Maximum resident set size: 1848 pages
% 0.19/0.49  
% 0.19/0.49  # -------------------------------------------------
% 0.19/0.49  # User time                : 0.006 s
% 0.19/0.49  # System time              : 0.004 s
% 0.19/0.49  # Total time               : 0.011 s
% 0.19/0.49  # Maximum resident set size: 1724 pages
% 0.19/0.49  % E---3.1 exiting
%------------------------------------------------------------------------------