TSTP Solution File: SWV857-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWV857-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n013.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 20:08:00 EDT 2023

% Result   : Unsatisfiable 0.17s 0.62s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   19 (   9 unt;   0 nHn;  17 RR)
%            Number of literals    :   31 (   0 equ;  15 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   24 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,negated_conjecture,
    ( c_Hoare__Mirabelle_Otriple__valid(v_x,X1,t_a)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_Ga)) ),
    file('/export/starexec/sandbox2/tmp/tmp.idwyVLGdLv/E---3.1_27353.p',cls_conjecture_3) ).

cnf(cls_mem__def_1,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(X3,X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp.idwyVLGdLv/E---3.1_27353.p',cls_mem__def_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
    file('/export/starexec/sandbox2/tmp/tmp.idwyVLGdLv/E---3.1_27353.p',cls_conjecture_2) ).

cnf(cls_rev__predicate1D_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(X3,X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp.idwyVLGdLv/E---3.1_27353.p',cls_rev__predicate1D_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_lessequals(v_tsa,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
    file('/export/starexec/sandbox2/tmp/tmp.idwyVLGdLv/E---3.1_27353.p',cls_conjecture_0) ).

cnf(cls_mem__def_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.idwyVLGdLv/E---3.1_27353.p',cls_mem__def_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)),
    file('/export/starexec/sandbox2/tmp/tmp.idwyVLGdLv/E---3.1_27353.p',cls_conjecture_1) ).

cnf(c_0_7,negated_conjecture,
    ( c_Hoare__Mirabelle_Otriple__valid(v_x,X1,t_a)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_Ga)) ),
    cls_conjecture_3 ).

cnf(c_0_8,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(X3,X2)) ),
    cls_mem__def_1 ).

cnf(c_0_9,negated_conjecture,
    ~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
    cls_conjecture_2 ).

cnf(c_0_10,negated_conjecture,
    ( c_Hoare__Mirabelle_Otriple__valid(v_x,X1,t_a)
    | ~ hBOOL(hAPP(v_Ga,X1)) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(X3,X2)) ),
    cls_rev__predicate1D_0 ).

cnf(c_0_12,negated_conjecture,
    c_lessequals(v_tsa,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
    cls_conjecture_0 ).

cnf(c_0_13,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
    cls_mem__def_0 ).

cnf(c_0_14,negated_conjecture,
    hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)),
    cls_conjecture_1 ).

cnf(c_0_15,negated_conjecture,
    ~ hBOOL(hAPP(v_Ga,v_xa)),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_16,negated_conjecture,
    ( hBOOL(hAPP(v_Ga,X1))
    | ~ hBOOL(hAPP(v_tsa,X1)) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_17,negated_conjecture,
    hBOOL(hAPP(v_tsa,v_xa)),
    inference(spm,[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
% 0.10/0.11  % Problem    : SWV857-1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.11  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n013.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Oct  3 03:51:44 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.47  Running first-order model finding
% 0.17/0.47  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.idwyVLGdLv/E---3.1_27353.p
% 0.17/0.62  # Version: 3.1pre001
% 0.17/0.62  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.62  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.62  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.62  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.62  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.62  # Starting sh5l with 300s (1) cores
% 0.17/0.62  # new_bool_3 with pid 27431 completed with status 0
% 0.17/0.62  # Result found by new_bool_3
% 0.17/0.62  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.62  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.62  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.62  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.62  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.62  # Search class: FGHSM-FSLM32-MFFFFFNN
% 0.17/0.62  # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.62  # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 0.17/0.62  # G-E--_303_C18_F1_URBAN_S0Y with pid 27434 completed with status 0
% 0.17/0.62  # Result found by G-E--_303_C18_F1_URBAN_S0Y
% 0.17/0.62  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.62  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.62  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.62  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.62  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.62  # Search class: FGHSM-FSLM32-MFFFFFNN
% 0.17/0.62  # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.62  # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 0.17/0.62  # Preprocessing time       : 0.006 s
% 0.17/0.62  
% 0.17/0.62  # Proof found!
% 0.17/0.62  # SZS status Unsatisfiable
% 0.17/0.62  # SZS output start CNFRefutation
% See solution above
% 0.17/0.62  # Parsed axioms                        : 586
% 0.17/0.62  # Removed by relevancy pruning/SinE    : 281
% 0.17/0.62  # Initial clauses                      : 305
% 0.17/0.62  # Removed in clause preprocessing      : 0
% 0.17/0.62  # Initial clauses in saturation        : 305
% 0.17/0.62  # Processed clauses                    : 346
% 0.17/0.62  # ...of these trivial                  : 15
% 0.17/0.62  # ...subsumed                          : 64
% 0.17/0.62  # ...remaining for further processing  : 267
% 0.17/0.62  # Other redundant clauses eliminated   : 3
% 0.17/0.62  # Clauses deleted for lack of memory   : 0
% 0.17/0.62  # Backward-subsumed                    : 0
% 0.17/0.62  # Backward-rewritten                   : 6
% 0.17/0.62  # Generated clauses                    : 5490
% 0.17/0.62  # ...of the previous two non-redundant : 4498
% 0.17/0.62  # ...aggressively subsumed             : 0
% 0.17/0.62  # Contextual simplify-reflections      : 3
% 0.17/0.62  # Paramodulations                      : 5480
% 0.17/0.62  # Factorizations                       : 0
% 0.17/0.62  # NegExts                              : 0
% 0.17/0.62  # Equation resolutions                 : 10
% 0.17/0.62  # Total rewrite steps                  : 2434
% 0.17/0.62  # Propositional unsat checks           : 0
% 0.17/0.62  #    Propositional check models        : 0
% 0.17/0.62  #    Propositional check unsatisfiable : 0
% 0.17/0.62  #    Propositional clauses             : 0
% 0.17/0.62  #    Propositional clauses after purity: 0
% 0.17/0.62  #    Propositional unsat core size     : 0
% 0.17/0.62  #    Propositional preprocessing time  : 0.000
% 0.17/0.62  #    Propositional encoding time       : 0.000
% 0.17/0.62  #    Propositional solver time         : 0.000
% 0.17/0.62  #    Success case prop preproc time    : 0.000
% 0.17/0.62  #    Success case prop encoding time   : 0.000
% 0.17/0.62  #    Success case prop solver time     : 0.000
% 0.17/0.62  # Current number of processed clauses  : 261
% 0.17/0.62  #    Positive orientable unit clauses  : 74
% 0.17/0.62  #    Positive unorientable unit clauses: 11
% 0.17/0.62  #    Negative unit clauses             : 10
% 0.17/0.62  #    Non-unit-clauses                  : 166
% 0.17/0.62  # Current number of unprocessed clauses: 4457
% 0.17/0.62  # ...number of literals in the above   : 10060
% 0.17/0.62  # Current number of archived formulas  : 0
% 0.17/0.62  # Current number of archived clauses   : 6
% 0.17/0.62  # Clause-clause subsumption calls (NU) : 1889
% 0.17/0.62  # Rec. Clause-clause subsumption calls : 1683
% 0.17/0.62  # Non-unit clause-clause subsumptions  : 44
% 0.17/0.62  # Unit Clause-clause subsumption calls : 422
% 0.17/0.62  # Rewrite failures with RHS unbound    : 0
% 0.17/0.62  # BW rewrite match attempts            : 415
% 0.17/0.62  # BW rewrite match successes           : 45
% 0.17/0.62  # Condensation attempts                : 0
% 0.17/0.62  # Condensation successes               : 0
% 0.17/0.62  # Termbank termtop insertions          : 108470
% 0.17/0.62  
% 0.17/0.62  # -------------------------------------------------
% 0.17/0.62  # User time                : 0.104 s
% 0.17/0.62  # System time              : 0.010 s
% 0.17/0.62  # Total time               : 0.114 s
% 0.17/0.62  # Maximum resident set size: 2500 pages
% 0.17/0.62  
% 0.17/0.62  # -------------------------------------------------
% 0.17/0.62  # User time                : 0.119 s
% 0.17/0.62  # System time              : 0.011 s
% 0.17/0.62  # Total time               : 0.130 s
% 0.17/0.62  # Maximum resident set size: 2104 pages
% 0.17/0.62  % E---3.1 exiting
%------------------------------------------------------------------------------