TSTP Solution File: SWW345+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWW345+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n032.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 20:09:10 EDT 2023

% Result   : Theorem 4.96s 3.55s
% Output   : CNFRefutation 4.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (  11 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   27 (  13   ~;  10   |;   0   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :   20 (   0 sgn;  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_2,hypothesis,
    ! [X9,X10] :
      ( v_Q(X9,X10)
     => ! [X11] :
          ( c_Natural_Oevaln(v_d,X10,v_n,X11)
         => v_R(X9,X11) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.dj0oUCpQOY/E---3.1_18272.p',conj_2) ).

fof(conj_6,conjecture,
    v_R(v_Z,v_s_H),
    file('/export/starexec/sandbox2/tmp/tmp.dj0oUCpQOY/E---3.1_18272.p',conj_6) ).

fof(conj_5,hypothesis,
    c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
    file('/export/starexec/sandbox2/tmp/tmp.dj0oUCpQOY/E---3.1_18272.p',conj_5) ).

fof(conj_1,hypothesis,
    ! [X9,X10] :
      ( v_P(X9,X10)
     => ! [X11] :
          ( c_Natural_Oevaln(v_c,X10,v_n,X11)
         => v_Q(X9,X11) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.dj0oUCpQOY/E---3.1_18272.p',conj_1) ).

fof(conj_4,hypothesis,
    c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
    file('/export/starexec/sandbox2/tmp/tmp.dj0oUCpQOY/E---3.1_18272.p',conj_4) ).

fof(conj_3,hypothesis,
    v_P(v_Z,v_s),
    file('/export/starexec/sandbox2/tmp/tmp.dj0oUCpQOY/E---3.1_18272.p',conj_3) ).

fof(c_0_6,hypothesis,
    ! [X334,X335,X336] :
      ( ~ v_Q(X334,X335)
      | ~ c_Natural_Oevaln(v_d,X335,v_n,X336)
      | v_R(X334,X336) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_2])])]) ).

fof(c_0_7,negated_conjecture,
    ~ v_R(v_Z,v_s_H),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_6])]) ).

cnf(c_0_8,hypothesis,
    ( v_R(X1,X3)
    | ~ v_Q(X1,X2)
    | ~ c_Natural_Oevaln(v_d,X2,v_n,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,hypothesis,
    c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
    inference(split_conjunct,[status(thm)],[conj_5]) ).

fof(c_0_10,hypothesis,
    ! [X331,X332,X333] :
      ( ~ v_P(X331,X332)
      | ~ c_Natural_Oevaln(v_c,X332,v_n,X333)
      | v_Q(X331,X333) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_1])])]) ).

cnf(c_0_11,negated_conjecture,
    ~ v_R(v_Z,v_s_H),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,hypothesis,
    ( v_R(X1,v_s_H)
    | ~ v_Q(X1,v_s1) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,hypothesis,
    ( v_Q(X1,X3)
    | ~ v_P(X1,X2)
    | ~ c_Natural_Oevaln(v_c,X2,v_n,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,hypothesis,
    c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
    inference(split_conjunct,[status(thm)],[conj_4]) ).

cnf(c_0_15,negated_conjecture,
    ~ v_Q(v_Z,v_s1),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,hypothesis,
    ( v_Q(X1,v_s1)
    | ~ v_P(X1,v_s) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_17,hypothesis,
    v_P(v_Z,v_s),
    inference(split_conjunct,[status(thm)],[conj_3]) ).

cnf(c_0_18,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 1.17/1.20  % Problem    : SWW345+1 : TPTP v8.1.2. Released v5.2.0.
% 1.17/1.21  % Command    : run_E %s %d THM
% 1.22/1.42  % Computer : n032.cluster.edu
% 1.22/1.42  % Model    : x86_64 x86_64
% 1.22/1.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 1.22/1.42  % Memory   : 8042.1875MB
% 1.22/1.42  % OS       : Linux 3.10.0-693.el7.x86_64
% 1.22/1.42  % CPULimit   : 2400
% 1.22/1.42  % WCLimit    : 300
% 1.22/1.42  % DateTime   : Mon Oct  2 22:44:06 EDT 2023
% 1.22/1.42  % CPUTime    : 
% 2.43/2.63  Running first-order theorem proving
% 2.43/2.63  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.dj0oUCpQOY/E---3.1_18272.p
% 4.96/3.55  # Version: 3.1pre001
% 4.96/3.55  # Preprocessing class: FMLMSMSMSSSNFFN.
% 4.96/3.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.96/3.55  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.96/3.55  # Starting new_bool_3 with 300s (1) cores
% 4.96/3.55  # Starting new_bool_1 with 300s (1) cores
% 4.96/3.55  # Starting sh5l with 300s (1) cores
% 4.96/3.55  # new_bool_3 with pid 18363 completed with status 0
% 4.96/3.55  # Result found by new_bool_3
% 4.96/3.55  # Preprocessing class: FMLMSMSMSSSNFFN.
% 4.96/3.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.96/3.55  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.96/3.55  # Starting new_bool_3 with 300s (1) cores
% 4.96/3.55  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.96/3.55  # Search class: FGHSM-SSLM32-DFFFFFNN
% 4.96/3.55  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 4.96/3.55  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 23s (1) cores
% 4.96/3.55  # G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with pid 18366 completed with status 0
% 4.96/3.55  # Result found by G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 4.96/3.55  # Preprocessing class: FMLMSMSMSSSNFFN.
% 4.96/3.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.96/3.55  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.96/3.55  # Starting new_bool_3 with 300s (1) cores
% 4.96/3.55  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.96/3.55  # Search class: FGHSM-SSLM32-DFFFFFNN
% 4.96/3.55  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 4.96/3.55  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 23s (1) cores
% 4.96/3.55  # Preprocessing time       : 0.021 s
% 4.96/3.55  # Presaturation interreduction done
% 4.96/3.55  
% 4.96/3.55  # Proof found!
% 4.96/3.55  # SZS status Theorem
% 4.96/3.55  # SZS output start CNFRefutation
% See solution above
% 4.96/3.55  # Parsed axioms                        : 5211
% 4.96/3.55  # Removed by relevancy pruning/SinE    : 4451
% 4.96/3.55  # Initial clauses                      : 1144
% 4.96/3.55  # Removed in clause preprocessing      : 56
% 4.96/3.55  # Initial clauses in saturation        : 1088
% 4.96/3.55  # Processed clauses                    : 1894
% 4.96/3.55  # ...of these trivial                  : 35
% 4.96/3.55  # ...subsumed                          : 263
% 4.96/3.55  # ...remaining for further processing  : 1596
% 4.96/3.55  # Other redundant clauses eliminated   : 295
% 4.96/3.55  # Clauses deleted for lack of memory   : 0
% 4.96/3.55  # Backward-subsumed                    : 6
% 4.96/3.55  # Backward-rewritten                   : 21
% 4.96/3.55  # Generated clauses                    : 15753
% 4.96/3.55  # ...of the previous two non-redundant : 14022
% 4.96/3.55  # ...aggressively subsumed             : 0
% 4.96/3.55  # Contextual simplify-reflections      : 5
% 4.96/3.55  # Paramodulations                      : 15417
% 4.96/3.55  # Factorizations                       : 8
% 4.96/3.55  # NegExts                              : 0
% 4.96/3.55  # Equation resolutions                 : 339
% 4.96/3.55  # Total rewrite steps                  : 5330
% 4.96/3.55  # Propositional unsat checks           : 0
% 4.96/3.55  #    Propositional check models        : 0
% 4.96/3.55  #    Propositional check unsatisfiable : 0
% 4.96/3.55  #    Propositional clauses             : 0
% 4.96/3.55  #    Propositional clauses after purity: 0
% 4.96/3.55  #    Propositional unsat core size     : 0
% 4.96/3.55  #    Propositional preprocessing time  : 0.000
% 4.96/3.55  #    Propositional encoding time       : 0.000
% 4.96/3.55  #    Propositional solver time         : 0.000
% 4.96/3.55  #    Success case prop preproc time    : 0.000
% 4.96/3.55  #    Success case prop encoding time   : 0.000
% 4.96/3.55  #    Success case prop solver time     : 0.000
% 4.96/3.55  # Current number of processed clauses  : 746
% 4.96/3.55  #    Positive orientable unit clauses  : 156
% 4.96/3.55  #    Positive unorientable unit clauses: 21
% 4.96/3.55  #    Negative unit clauses             : 49
% 4.96/3.55  #    Non-unit-clauses                  : 520
% 4.96/3.55  # Current number of unprocessed clauses: 13959
% 4.96/3.55  # ...number of literals in the above   : 37819
% 4.96/3.55  # Current number of archived formulas  : 0
% 4.96/3.55  # Current number of archived clauses   : 770
% 4.96/3.55  # Clause-clause subsumption calls (NU) : 112314
% 4.96/3.55  # Rec. Clause-clause subsumption calls : 90459
% 4.96/3.55  # Non-unit clause-clause subsumptions  : 202
% 4.96/3.55  # Unit Clause-clause subsumption calls : 2739
% 4.96/3.55  # Rewrite failures with RHS unbound    : 0
% 4.96/3.55  # BW rewrite match attempts            : 3502
% 4.96/3.55  # BW rewrite match successes           : 184
% 4.96/3.55  # Condensation attempts                : 0
% 4.96/3.55  # Condensation successes               : 0
% 4.96/3.55  # Termbank termtop insertions          : 760730
% 4.96/3.55  
% 4.96/3.55  # -------------------------------------------------
% 4.96/3.55  # User time                : 0.625 s
% 4.96/3.55  # System time              : 0.022 s
% 4.96/3.55  # Total time               : 0.647 s
% 4.96/3.55  # Maximum resident set size: 11820 pages
% 4.96/3.55  
% 4.96/3.55  # -------------------------------------------------
% 4.96/3.55  # User time                : 0.868 s
% 4.96/3.55  # System time              : 0.035 s
% 4.96/3.55  # Total time               : 0.903 s
% 4.96/3.55  # Maximum resident set size: 9540 pages
% 4.96/3.55  % E---3.1 exiting
% 4.96/3.55  % E---3.1 exiting
%------------------------------------------------------------------------------