TSTP Solution File: SWV911-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWV911-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n004.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 19:55:37 EDT 2023

% Result   : Unsatisfiable 1.49s 0.80s
% Output   : CNFRefutation 1.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   19 (   9 unt;   2 nHn;  19 RR)
%            Number of literals    :   31 (   0 equ;  17 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;  10 con; 0-4 aty)
%            Number of variables   :   16 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,negated_conjecture,
    ( ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(X1,X2)))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,v_c,X2,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
    file('/export/starexec/sandbox/tmp/tmp.BwQjhBFd5k/E---3.1_29031.p',cls_conjecture_3) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
    file('/export/starexec/sandbox/tmp/tmp.BwQjhBFd5k/E---3.1_29031.p',cls_conjecture_0) ).

cnf(cls_conjecture_5,negated_conjecture,
    ( hBOOL(hAPP(hAPP(X1,X2),v_xb(X3,X1)))
    | ~ hBOOL(hAPP(hAPP(X3,X2),v_xa))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X3,v_c,X1,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
    file('/export/starexec/sandbox/tmp/tmp.BwQjhBFd5k/E---3.1_29031.p',cls_conjecture_5) ).

cnf(cls_conjecture_4,negated_conjecture,
    ( ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(X1,X2)))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,v_c,X2,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
    file('/export/starexec/sandbox/tmp/tmp.BwQjhBFd5k/E---3.1_29031.p',cls_conjecture_4) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
    file('/export/starexec/sandbox/tmp/tmp.BwQjhBFd5k/E---3.1_29031.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    ( hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa))
    | hBOOL(hAPP(hAPP(v_P,v_x),v_xa)) ),
    file('/export/starexec/sandbox/tmp/tmp.BwQjhBFd5k/E---3.1_29031.p',cls_conjecture_2) ).

cnf(c_0_6,negated_conjecture,
    ( ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(X1,X2)))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,v_c,X2,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
    cls_conjecture_3 ).

cnf(c_0_7,negated_conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
    cls_conjecture_0 ).

cnf(c_0_8,negated_conjecture,
    ( hBOOL(hAPP(hAPP(X1,X2),v_xb(X3,X1)))
    | ~ hBOOL(hAPP(hAPP(X3,X2),v_xa))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X3,v_c,X1,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
    cls_conjecture_5 ).

cnf(c_0_9,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(v_P,v_Q))),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,negated_conjecture,
    ( hBOOL(hAPP(hAPP(v_Q,X1),v_xb(v_P,v_Q)))
    | ~ hBOOL(hAPP(hAPP(v_P,X1),v_xa)) ),
    inference(spm,[status(thm)],[c_0_8,c_0_7]) ).

cnf(c_0_11,negated_conjecture,
    ( ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(X1,X2)))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,v_c,X2,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
    cls_conjecture_4 ).

cnf(c_0_12,negated_conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
    cls_conjecture_1 ).

cnf(c_0_13,negated_conjecture,
    ( hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa))
    | hBOOL(hAPP(hAPP(v_P,v_x),v_xa)) ),
    cls_conjecture_2 ).

cnf(c_0_14,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_15,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(v_P_H,v_Q_H))),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,negated_conjecture,
    ( hBOOL(hAPP(hAPP(v_Q_H,X1),v_xb(v_P_H,v_Q_H)))
    | ~ hBOOL(hAPP(hAPP(v_P_H,X1),v_xa)) ),
    inference(spm,[status(thm)],[c_0_8,c_0_12]) ).

cnf(c_0_17,negated_conjecture,
    hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa)),
    inference(sr,[status(thm)],[c_0_13,c_0_14]) ).

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
% 0.12/0.18  % Problem    : SWV911-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.19  % Command    : run_E %s %d THM
% 0.19/0.40  % Computer : n004.cluster.edu
% 0.19/0.40  % Model    : x86_64 x86_64
% 0.19/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.40  % Memory   : 8042.1875MB
% 0.19/0.40  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.41  % CPULimit   : 2400
% 0.19/0.41  % WCLimit    : 300
% 0.19/0.41  % DateTime   : Tue Oct  3 03:18:00 EDT 2023
% 0.19/0.41  % CPUTime    : 
% 0.25/0.59  Running first-order theorem proving
% 0.25/0.59  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.BwQjhBFd5k/E---3.1_29031.p
% 1.49/0.80  # Version: 3.1pre001
% 1.49/0.80  # Preprocessing class: FSLMSMSMSSSNFFN.
% 1.49/0.80  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.49/0.80  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 1.49/0.80  # Starting new_bool_3 with 600s (2) cores
% 1.49/0.80  # Starting new_bool_1 with 300s (1) cores
% 1.49/0.80  # Starting sh5l with 300s (1) cores
% 1.49/0.80  # new_bool_1 with pid 29162 completed with status 0
% 1.49/0.80  # Result found by new_bool_1
% 1.49/0.80  # Preprocessing class: FSLMSMSMSSSNFFN.
% 1.49/0.80  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.49/0.80  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 1.49/0.80  # Starting new_bool_3 with 600s (2) cores
% 1.49/0.80  # Starting new_bool_1 with 300s (1) cores
% 1.49/0.80  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.49/0.80  # Search class: FGHSM-FSLM32-DFFFFFNN
% 1.49/0.80  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 1.49/0.80  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 1.49/0.80  # G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 29166 completed with status 0
% 1.49/0.80  # Result found by G-E--_301_C18_F1_URBAN_S5PRR_S0Y
% 1.49/0.80  # Preprocessing class: FSLMSMSMSSSNFFN.
% 1.49/0.80  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.49/0.80  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 1.49/0.80  # Starting new_bool_3 with 600s (2) cores
% 1.49/0.80  # Starting new_bool_1 with 300s (1) cores
% 1.49/0.80  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.49/0.80  # Search class: FGHSM-FSLM32-DFFFFFNN
% 1.49/0.80  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 1.49/0.80  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 1.49/0.80  # Preprocessing time       : 0.083 s
% 1.49/0.80  
% 1.49/0.80  # Proof found!
% 1.49/0.80  # SZS status Unsatisfiable
% 1.49/0.80  # SZS output start CNFRefutation
% See solution above
% 1.49/0.80  # Parsed axioms                        : 565
% 1.49/0.80  # Removed by relevancy pruning/SinE    : 282
% 1.49/0.80  # Initial clauses                      : 283
% 1.49/0.80  # Removed in clause preprocessing      : 0
% 1.49/0.80  # Initial clauses in saturation        : 283
% 1.49/0.80  # Processed clauses                    : 315
% 1.49/0.80  # ...of these trivial                  : 16
% 1.49/0.80  # ...subsumed                          : 54
% 1.49/0.80  # ...remaining for further processing  : 245
% 1.49/0.80  # Other redundant clauses eliminated   : 4
% 1.49/0.80  # Clauses deleted for lack of memory   : 0
% 1.49/0.80  # Backward-subsumed                    : 0
% 1.49/0.80  # Backward-rewritten                   : 4
% 1.49/0.80  # Generated clauses                    : 3917
% 1.49/0.80  # ...of the previous two non-redundant : 3287
% 1.49/0.80  # ...aggressively subsumed             : 0
% 1.49/0.80  # Contextual simplify-reflections      : 3
% 1.49/0.80  # Paramodulations                      : 3903
% 1.49/0.80  # Factorizations                       : 0
% 1.49/0.80  # NegExts                              : 0
% 1.49/0.80  # Equation resolutions                 : 13
% 1.49/0.80  # Total rewrite steps                  : 954
% 1.49/0.80  # Propositional unsat checks           : 0
% 1.49/0.80  #    Propositional check models        : 0
% 1.49/0.80  #    Propositional check unsatisfiable : 0
% 1.49/0.80  #    Propositional clauses             : 0
% 1.49/0.80  #    Propositional clauses after purity: 0
% 1.49/0.80  #    Propositional unsat core size     : 0
% 1.49/0.80  #    Propositional preprocessing time  : 0.000
% 1.49/0.80  #    Propositional encoding time       : 0.000
% 1.49/0.80  #    Propositional solver time         : 0.000
% 1.49/0.80  #    Success case prop preproc time    : 0.000
% 1.49/0.80  #    Success case prop encoding time   : 0.000
% 1.49/0.80  #    Success case prop solver time     : 0.000
% 1.49/0.80  # Current number of processed clauses  : 240
% 1.49/0.80  #    Positive orientable unit clauses  : 66
% 1.49/0.80  #    Positive unorientable unit clauses: 11
% 1.49/0.80  #    Negative unit clauses             : 10
% 1.49/0.80  #    Non-unit-clauses                  : 153
% 1.49/0.80  # Current number of unprocessed clauses: 3253
% 1.49/0.80  # ...number of literals in the above   : 7977
% 1.49/0.80  # Current number of archived formulas  : 0
% 1.49/0.80  # Current number of archived clauses   : 5
% 1.49/0.80  # Clause-clause subsumption calls (NU) : 3289
% 1.49/0.80  # Rec. Clause-clause subsumption calls : 2810
% 1.49/0.80  # Non-unit clause-clause subsumptions  : 39
% 1.49/0.80  # Unit Clause-clause subsumption calls : 481
% 1.49/0.80  # Rewrite failures with RHS unbound    : 0
% 1.49/0.80  # BW rewrite match attempts            : 503
% 1.49/0.80  # BW rewrite match successes           : 34
% 1.49/0.80  # Condensation attempts                : 0
% 1.49/0.80  # Condensation successes               : 0
% 1.49/0.80  # Termbank termtop insertions          : 90033
% 1.49/0.80  
% 1.49/0.80  # -------------------------------------------------
% 1.49/0.80  # User time                : 0.159 s
% 1.49/0.80  # System time              : 0.019 s
% 1.49/0.80  # Total time               : 0.178 s
% 1.49/0.80  # Maximum resident set size: 2620 pages
% 1.49/0.80  
% 1.49/0.80  # -------------------------------------------------
% 1.49/0.80  # User time                : 0.175 s
% 1.49/0.80  # System time              : 0.021 s
% 1.49/0.80  # Total time               : 0.196 s
% 1.49/0.80  # Maximum resident set size: 2144 pages
% 1.49/0.80  % E---3.1 exiting
% 1.49/0.80  % E---3.1 exiting
%------------------------------------------------------------------------------