TSTP Solution File: SCT080-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SCT080-1 : TPTP v8.1.2. Released v4.1.0.
% 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 19:17:16 EDT 2023

% Result   : Unsatisfiable 0.21s 0.76s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   15 (  10 unt;   0 nHn;  13 RR)
%            Number of literals    :   22 (   2 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   7 con; 0-4 aty)
%            Number of variables   :   23 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_PiE_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),hAPP(X6,X2)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X4)),X5),c_FuncSet_OPi(X3,X6,X1,X4))) ),
    file('/export/starexec/sandbox/tmp/tmp.3o1VMzwKIm/E---3.1_10590.p',cls_PiE_0) ).

cnf(cls_CHAINED_0_01,axiom,
    hBOOL(hAPP(hAPP(c_in(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_F),c_FuncSet_OPi(c_Arrow__Order__Mirabelle_OProf,c_COMBK(c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))),
    file('/export/starexec/sandbox/tmp/tmp.3o1VMzwKIm/E---3.1_10590.p',cls_CHAINED_0_01) ).

cnf(cls_COMBK__def_0,axiom,
    hAPP(c_COMBK(X1,X2,X3),X4) = X1,
    file('/export/starexec/sandbox/tmp/tmp.3o1VMzwKIm/E---3.1_10590.p',cls_COMBK__def_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(v_F,c_COMBK(v_Lba____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi))),c_Arrow__Order__Mirabelle_OLin)),
    file('/export/starexec/sandbox/tmp/tmp.3o1VMzwKIm/E---3.1_10590.p',cls_conjecture_0) ).

cnf(cls_const__Lin__Prof_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBK(X1,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),c_Arrow__Order__Mirabelle_OProf))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
    file('/export/starexec/sandbox/tmp/tmp.3o1VMzwKIm/E---3.1_10590.p',cls_const__Lin__Prof_0) ).

cnf(cls_CHAINED_0,axiom,
    hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____),c_Arrow__Order__Mirabelle_OLin)),
    file('/export/starexec/sandbox/tmp/tmp.3o1VMzwKIm/E---3.1_10590.p',cls_CHAINED_0) ).

cnf(c_0_6,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),hAPP(X6,X2)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X4)),X5),c_FuncSet_OPi(X3,X6,X1,X4))) ),
    cls_PiE_0 ).

cnf(c_0_7,axiom,
    hBOOL(hAPP(hAPP(c_in(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_F),c_FuncSet_OPi(c_Arrow__Order__Mirabelle_OProf,c_COMBK(c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))),
    cls_CHAINED_0_01 ).

cnf(c_0_8,axiom,
    hAPP(c_COMBK(X1,X2,X3),X4) = X1,
    cls_COMBK__def_0 ).

cnf(c_0_9,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(v_F,c_COMBK(v_Lba____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi))),c_Arrow__Order__Mirabelle_OLin)),
    cls_conjecture_0 ).

cnf(c_0_10,plain,
    ( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(v_F,X1)),c_Arrow__Order__Mirabelle_OLin))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X1),c_Arrow__Order__Mirabelle_OProf)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBK(v_Lba____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),c_Arrow__Order__Mirabelle_OProf)),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_12,axiom,
    ( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBK(X1,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),c_Arrow__Order__Mirabelle_OProf))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
    cls_const__Lin__Prof_0 ).

cnf(c_0_13,axiom,
    hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____),c_Arrow__Order__Mirabelle_OLin)),
    cls_CHAINED_0 ).

cnf(c_0_14,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12  % Problem    : SCT080-1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.14  % Command    : run_E %s %d THM
% 0.15/0.34  % Computer : n001.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 2400
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Mon Oct  2 12:13:06 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.55  Running first-order model finding
% 0.21/0.55  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.3o1VMzwKIm/E---3.1_10590.p
% 0.21/0.76  # Version: 3.1pre001
% 0.21/0.76  # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.21/0.76  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.76  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.21/0.76  # Starting new_bool_3 with 600s (2) cores
% 0.21/0.76  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.76  # Starting sh5l with 300s (1) cores
% 0.21/0.76  # new_bool_1 with pid 10771 completed with status 0
% 0.21/0.76  # Result found by new_bool_1
% 0.21/0.76  # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.21/0.76  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.76  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.21/0.76  # Starting new_bool_3 with 600s (2) cores
% 0.21/0.76  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.76  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.76  # Search class: FGHSM-FSLS32-DFFFFFNN
% 0.21/0.76  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.76  # Starting SAT001_MinMin_p005000_rr_RG with 100s (1) cores
% 0.21/0.76  # SAT001_MinMin_p005000_rr_RG with pid 10774 completed with status 0
% 0.21/0.76  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.21/0.76  # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.21/0.76  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.76  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.21/0.76  # Starting new_bool_3 with 600s (2) cores
% 0.21/0.76  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.76  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.76  # Search class: FGHSM-FSLS32-DFFFFFNN
% 0.21/0.76  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.76  # Starting SAT001_MinMin_p005000_rr_RG with 100s (1) cores
% 0.21/0.76  # Preprocessing time       : 0.006 s
% 0.21/0.76  # Presaturation interreduction done
% 0.21/0.76  
% 0.21/0.76  # Proof found!
% 0.21/0.76  # SZS status Unsatisfiable
% 0.21/0.76  # SZS output start CNFRefutation
% See solution above
% 0.21/0.76  # Parsed axioms                        : 688
% 0.21/0.76  # Removed by relevancy pruning/SinE    : 392
% 0.21/0.76  # Initial clauses                      : 296
% 0.21/0.76  # Removed in clause preprocessing      : 0
% 0.21/0.76  # Initial clauses in saturation        : 296
% 0.21/0.76  # Processed clauses                    : 1840
% 0.21/0.76  # ...of these trivial                  : 34
% 0.21/0.76  # ...subsumed                          : 1154
% 0.21/0.76  # ...remaining for further processing  : 652
% 0.21/0.76  # Other redundant clauses eliminated   : 109
% 0.21/0.76  # Clauses deleted for lack of memory   : 0
% 0.21/0.76  # Backward-subsumed                    : 21
% 0.21/0.76  # Backward-rewritten                   : 11
% 0.21/0.76  # Generated clauses                    : 6573
% 0.21/0.76  # ...of the previous two non-redundant : 5282
% 0.21/0.76  # ...aggressively subsumed             : 0
% 0.21/0.76  # Contextual simplify-reflections      : 0
% 0.21/0.76  # Paramodulations                      : 6458
% 0.21/0.76  # Factorizations                       : 0
% 0.21/0.76  # NegExts                              : 0
% 0.21/0.76  # Equation resolutions                 : 115
% 0.21/0.76  # Total rewrite steps                  : 2641
% 0.21/0.76  # Propositional unsat checks           : 0
% 0.21/0.76  #    Propositional check models        : 0
% 0.21/0.76  #    Propositional check unsatisfiable : 0
% 0.21/0.76  #    Propositional clauses             : 0
% 0.21/0.76  #    Propositional clauses after purity: 0
% 0.21/0.76  #    Propositional unsat core size     : 0
% 0.21/0.76  #    Propositional preprocessing time  : 0.000
% 0.21/0.76  #    Propositional encoding time       : 0.000
% 0.21/0.76  #    Propositional solver time         : 0.000
% 0.21/0.76  #    Success case prop preproc time    : 0.000
% 0.21/0.76  #    Success case prop encoding time   : 0.000
% 0.21/0.76  #    Success case prop solver time     : 0.000
% 0.21/0.76  # Current number of processed clauses  : 384
% 0.21/0.76  #    Positive orientable unit clauses  : 96
% 0.21/0.76  #    Positive unorientable unit clauses: 8
% 0.21/0.76  #    Negative unit clauses             : 56
% 0.21/0.76  #    Non-unit-clauses                  : 224
% 0.21/0.76  # Current number of unprocessed clauses: 3886
% 0.21/0.76  # ...number of literals in the above   : 8040
% 0.21/0.76  # Current number of archived formulas  : 0
% 0.21/0.76  # Current number of archived clauses   : 268
% 0.21/0.76  # Clause-clause subsumption calls (NU) : 14102
% 0.21/0.76  # Rec. Clause-clause subsumption calls : 12741
% 0.21/0.76  # Non-unit clause-clause subsumptions  : 399
% 0.21/0.76  # Unit Clause-clause subsumption calls : 895
% 0.21/0.76  # Rewrite failures with RHS unbound    : 0
% 0.21/0.76  # BW rewrite match attempts            : 204
% 0.21/0.76  # BW rewrite match successes           : 125
% 0.21/0.76  # Condensation attempts                : 0
% 0.21/0.76  # Condensation successes               : 0
% 0.21/0.76  # Termbank termtop insertions          : 138683
% 0.21/0.76  
% 0.21/0.76  # -------------------------------------------------
% 0.21/0.76  # User time                : 0.149 s
% 0.21/0.76  # System time              : 0.011 s
% 0.21/0.76  # Total time               : 0.160 s
% 0.21/0.76  # Maximum resident set size: 2792 pages
% 0.21/0.76  
% 0.21/0.76  # -------------------------------------------------
% 0.21/0.76  # User time                : 0.172 s
% 0.21/0.76  # System time              : 0.015 s
% 0.21/0.76  # Total time               : 0.187 s
% 0.21/0.76  # Maximum resident set size: 2336 pages
% 0.21/0.76  % E---3.1 exiting
%------------------------------------------------------------------------------