TSTP Solution File: SWW315+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWW315+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n001.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 20:09:05 EDT 2023

% Result   : Theorem 3.99s 3.28s
% Output   : CNFRefutation 3.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (   9 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   19 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   22 (   0 sgn;  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(fact_cut,axiom,
    ! [X4,X5,X8,X6] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X6,X8,X5)
     => ( c_Hoare__Mirabelle_Ohoare__derivs(X6,X4,X8)
       => c_Hoare__Mirabelle_Ohoare__derivs(X6,X4,X5) ) ),
    file('/export/starexec/sandbox/tmp/tmp.XGEMFvoyFc/E---3.1_19592.p',fact_cut) ).

fof(fact_asm,axiom,
    ! [X4,X5,X6] :
      ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X6),tc_HOL_Obool)),X5),X4))
     => c_Hoare__Mirabelle_Ohoare__derivs(X6,X4,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.XGEMFvoyFc/E---3.1_19592.p',fact_asm) ).

fof(conj_4,conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    file('/export/starexec/sandbox/tmp/tmp.XGEMFvoyFc/E---3.1_19592.p',conj_4) ).

fof(conj_3,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts_H),
    file('/export/starexec/sandbox/tmp/tmp.XGEMFvoyFc/E---3.1_19592.p',conj_3) ).

fof(conj_1,hypothesis,
    hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_ts_H)),
    file('/export/starexec/sandbox/tmp/tmp.XGEMFvoyFc/E---3.1_19592.p',conj_1) ).

fof(c_0_5,plain,
    ! [X290,X291,X292,X293] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X293,X292,X291)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X293,X290,X292)
      | c_Hoare__Mirabelle_Ohoare__derivs(X293,X290,X291) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_cut])]) ).

fof(c_0_6,plain,
    ! [X283,X284,X285] :
      ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X285),tc_HOL_Obool)),X284),X283))
      | c_Hoare__Mirabelle_Ohoare__derivs(X285,X283,X284) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_asm])]) ).

fof(c_0_7,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_4])]) ).

cnf(c_0_8,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts_H),
    inference(split_conjunct,[status(thm)],[conj_3]) ).

cnf(c_0_10,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X3,X2)
    | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,hypothesis,
    hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_ts_H)),
    inference(split_conjunct,[status(thm)],[conj_1]) ).

cnf(c_0_12,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_13,hypothesis,
    ( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,X1)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_ts_H,X1) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_14,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_ts_H,v_ts),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_15,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 1.12/1.20  % Problem    : SWW315+1 : TPTP v8.1.2. Released v5.2.0.
% 1.12/1.21  % Command    : run_E %s %d THM
% 1.23/1.41  % Computer : n001.cluster.edu
% 1.23/1.41  % Model    : x86_64 x86_64
% 1.23/1.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 1.23/1.41  % Memory   : 8042.1875MB
% 1.23/1.41  % OS       : Linux 3.10.0-693.el7.x86_64
% 1.23/1.41  % CPULimit   : 2400
% 1.23/1.41  % WCLimit    : 300
% 1.23/1.41  % DateTime   : Mon Oct  2 22:58:23 EDT 2023
% 1.23/1.41  % CPUTime    : 
% 2.32/2.60  Running first-order theorem proving
% 2.32/2.60  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.XGEMFvoyFc/E---3.1_19592.p
% 3.99/3.28  # Version: 3.1pre001
% 3.99/3.28  # Preprocessing class: FMLMSMSMSSSNFFN.
% 3.99/3.28  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.99/3.28  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.99/3.28  # Starting new_bool_3 with 300s (1) cores
% 3.99/3.28  # Starting new_bool_1 with 300s (1) cores
% 3.99/3.28  # Starting sh5l with 300s (1) cores
% 3.99/3.28  # new_bool_3 with pid 19687 completed with status 0
% 3.99/3.28  # Result found by new_bool_3
% 3.99/3.28  # Preprocessing class: FMLMSMSMSSSNFFN.
% 3.99/3.28  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.99/3.28  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.99/3.28  # Starting new_bool_3 with 300s (1) cores
% 3.99/3.28  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.99/3.28  # Search class: FGHSM-FSLM32-DFFFFFNN
% 3.99/3.28  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 3.99/3.28  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 3.99/3.28  # G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 19690 completed with status 0
% 3.99/3.28  # Result found by G-E--_301_C18_F1_URBAN_S5PRR_S0Y
% 3.99/3.28  # Preprocessing class: FMLMSMSMSSSNFFN.
% 3.99/3.28  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.99/3.28  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.99/3.28  # Starting new_bool_3 with 300s (1) cores
% 3.99/3.28  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.99/3.28  # Search class: FGHSM-FSLM32-DFFFFFNN
% 3.99/3.28  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 3.99/3.28  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 3.99/3.28  # Preprocessing time       : 0.020 s
% 3.99/3.28  
% 3.99/3.28  # Proof found!
% 3.99/3.28  # SZS status Theorem
% 3.99/3.28  # SZS output start CNFRefutation
% See solution above
% 3.99/3.28  # Parsed axioms                        : 5230
% 3.99/3.28  # Removed by relevancy pruning/SinE    : 4781
% 3.99/3.28  # Initial clauses                      : 665
% 3.99/3.28  # Removed in clause preprocessing      : 31
% 3.99/3.28  # Initial clauses in saturation        : 634
% 3.99/3.28  # Processed clauses                    : 639
% 3.99/3.28  # ...of these trivial                  : 5
% 3.99/3.28  # ...subsumed                          : 116
% 3.99/3.28  # ...remaining for further processing  : 517
% 3.99/3.28  # Other redundant clauses eliminated   : 93
% 3.99/3.28  # Clauses deleted for lack of memory   : 0
% 3.99/3.28  # Backward-subsumed                    : 5
% 3.99/3.28  # Backward-rewritten                   : 6
% 3.99/3.28  # Generated clauses                    : 10381
% 3.99/3.28  # ...of the previous two non-redundant : 9158
% 3.99/3.28  # ...aggressively subsumed             : 0
% 3.99/3.28  # Contextual simplify-reflections      : 4
% 3.99/3.28  # Paramodulations                      : 10261
% 3.99/3.28  # Factorizations                       : 8
% 3.99/3.28  # NegExts                              : 0
% 3.99/3.28  # Equation resolutions                 : 113
% 3.99/3.28  # Total rewrite steps                  : 3098
% 3.99/3.28  # Propositional unsat checks           : 0
% 3.99/3.28  #    Propositional check models        : 0
% 3.99/3.28  #    Propositional check unsatisfiable : 0
% 3.99/3.28  #    Propositional clauses             : 0
% 3.99/3.28  #    Propositional clauses after purity: 0
% 3.99/3.28  #    Propositional unsat core size     : 0
% 3.99/3.28  #    Propositional preprocessing time  : 0.000
% 3.99/3.28  #    Propositional encoding time       : 0.000
% 3.99/3.28  #    Propositional solver time         : 0.000
% 3.99/3.28  #    Success case prop preproc time    : 0.000
% 3.99/3.28  #    Success case prop encoding time   : 0.000
% 3.99/3.28  #    Success case prop solver time     : 0.000
% 3.99/3.28  # Current number of processed clauses  : 483
% 3.99/3.28  #    Positive orientable unit clauses  : 109
% 3.99/3.28  #    Positive unorientable unit clauses: 17
% 3.99/3.28  #    Negative unit clauses             : 10
% 3.99/3.28  #    Non-unit-clauses                  : 347
% 3.99/3.28  # Current number of unprocessed clauses: 9153
% 3.99/3.28  # ...number of literals in the above   : 25698
% 3.99/3.28  # Current number of archived formulas  : 0
% 3.99/3.28  # Current number of archived clauses   : 11
% 3.99/3.28  # Clause-clause subsumption calls (NU) : 20445
% 3.99/3.28  # Rec. Clause-clause subsumption calls : 16434
% 3.99/3.28  # Non-unit clause-clause subsumptions  : 112
% 3.99/3.28  # Unit Clause-clause subsumption calls : 439
% 3.99/3.28  # Rewrite failures with RHS unbound    : 29
% 3.99/3.28  # BW rewrite match attempts            : 1618
% 3.99/3.28  # BW rewrite match successes           : 78
% 3.99/3.28  # Condensation attempts                : 0
% 3.99/3.28  # Condensation successes               : 0
% 3.99/3.28  # Termbank termtop insertions          : 520470
% 3.99/3.28  
% 3.99/3.28  # -------------------------------------------------
% 3.99/3.28  # User time                : 0.377 s
% 3.99/3.28  # System time              : 0.028 s
% 3.99/3.28  # Total time               : 0.405 s
% 3.99/3.28  # Maximum resident set size: 11168 pages
% 3.99/3.28  
% 3.99/3.28  # -------------------------------------------------
% 3.99/3.28  # User time                : 0.627 s
% 3.99/3.28  # System time              : 0.040 s
% 3.99/3.28  # Total time               : 0.667 s
% 3.99/3.28  # Maximum resident set size: 9492 pages
% 3.99/3.28  % E---3.1 exiting
% 3.99/3.28  % E---3.1 exiting
%------------------------------------------------------------------------------