TSTP Solution File: SCT171+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SCT171+1 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n031.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 : 300s
% WCLimit  : 300s
% DateTime : Sat May  4 09:16:15 EDT 2024

% Result   : Theorem 0.43s 0.55s
% Output   : CNFRefutation 0.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   8 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   12 (   7   ~;   3   |;   1   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :   26 (  26 usr;  13 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
    hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))),
    file('/export/starexec/sandbox2/tmp/tmp.e385hMADLh/E---3.1_6867.p',conj_0) ).

fof(fact_14_PW,axiom,
    ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p)))
  <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))) ),
    file('/export/starexec/sandbox2/tmp/tmp.e385hMADLh/E---3.1_6867.p',fact_14_PW) ).

fof(fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto,axiom,
    hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))),
    file('/export/starexec/sandbox2/tmp/tmp.e385hMADLh/E---3.1_6867.p',fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).

fof(c_0_3,negated_conjecture,
    ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).

fof(c_0_4,plain,
    ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p)))
      | hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))) )
    & ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e))))))
      | hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))) ) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_14_PW])]) ).

fof(c_0_5,negated_conjecture,
    ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))),
    inference(fof_nnf,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p)))
    | ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))),
    inference(split_conjunct,[status(thm)],[fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto]) ).

cnf(c_0_9,plain,
    ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))),
    inference(sr,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,plain,
    $false,
    inference(sr,[status(thm)],[c_0_8,c_0_9]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem    : SCT171+1 : TPTP v8.1.2. Released v5.3.0.
% 0.13/0.15  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n031.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 09:18:02 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.20/0.50  Running first-order theorem proving
% 0.20/0.50  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.e385hMADLh/E---3.1_6867.p
% 0.43/0.55  # Version: 3.1.0
% 0.43/0.55  # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.43/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.43/0.55  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.43/0.55  # Starting new_bool_3 with 600s (2) cores
% 0.43/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.43/0.55  # Starting sh5l with 300s (1) cores
% 0.43/0.55  # new_bool_3 with pid 6946 completed with status 0
% 0.43/0.55  # Result found by new_bool_3
% 0.43/0.55  # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.43/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.43/0.55  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.43/0.55  # Starting new_bool_3 with 600s (2) cores
% 0.43/0.55  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.43/0.55  # Search class: FGHSM-FSLM32-DFFFFFNN
% 0.43/0.55  # Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 0.43/0.55  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 45s (1) cores
% 0.43/0.55  # Starting new_bool_3 with 61s (1) cores
% 0.43/0.55  # G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 6949 completed with status 0
% 0.43/0.55  # Result found by G-E--_301_C18_F1_URBAN_S5PRR_S0Y
% 0.43/0.55  # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.43/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.43/0.55  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.43/0.55  # Starting new_bool_3 with 600s (2) cores
% 0.43/0.55  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.43/0.55  # Search class: FGHSM-FSLM32-DFFFFFNN
% 0.43/0.55  # Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 0.43/0.55  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 45s (1) cores
% 0.43/0.55  # Preprocessing time       : 0.006 s
% 0.43/0.55  
% 0.43/0.55  # Proof found!
% 0.43/0.55  # SZS status Theorem
% 0.43/0.55  # SZS output start CNFRefutation
% See solution above
% 0.43/0.55  # Parsed axioms                        : 322
% 0.43/0.55  # Removed by relevancy pruning/SinE    : 209
% 0.43/0.55  # Initial clauses                      : 225
% 0.43/0.55  # Removed in clause preprocessing      : 35
% 0.43/0.55  # Initial clauses in saturation        : 190
% 0.43/0.55  # Processed clauses                    : 32
% 0.43/0.55  # ...of these trivial                  : 1
% 0.43/0.55  # ...subsumed                          : 0
% 0.43/0.55  # ...remaining for further processing  : 30
% 0.43/0.55  # Other redundant clauses eliminated   : 1
% 0.43/0.55  # Clauses deleted for lack of memory   : 0
% 0.43/0.55  # Backward-subsumed                    : 0
% 0.43/0.55  # Backward-rewritten                   : 1
% 0.43/0.55  # Generated clauses                    : 1
% 0.43/0.55  # ...of the previous two non-redundant : 1
% 0.43/0.55  # ...aggressively subsumed             : 0
% 0.43/0.55  # Contextual simplify-reflections      : 0
% 0.43/0.55  # Paramodulations                      : 0
% 0.43/0.55  # Factorizations                       : 0
% 0.43/0.55  # NegExts                              : 0
% 0.43/0.55  # Equation resolutions                 : 1
% 0.43/0.55  # Disequality decompositions           : 0
% 0.43/0.55  # Total rewrite steps                  : 3
% 0.43/0.55  # ...of those cached                   : 1
% 0.43/0.55  # Propositional unsat checks           : 0
% 0.43/0.55  #    Propositional check models        : 0
% 0.43/0.55  #    Propositional check unsatisfiable : 0
% 0.43/0.55  #    Propositional clauses             : 0
% 0.43/0.55  #    Propositional clauses after purity: 0
% 0.43/0.55  #    Propositional unsat core size     : 0
% 0.43/0.55  #    Propositional preprocessing time  : 0.000
% 0.43/0.55  #    Propositional encoding time       : 0.000
% 0.43/0.55  #    Propositional solver time         : 0.000
% 0.43/0.55  #    Success case prop preproc time    : 0.000
% 0.43/0.55  #    Success case prop encoding time   : 0.000
% 0.43/0.55  #    Success case prop solver time     : 0.000
% 0.43/0.55  # Current number of processed clauses  : 28
% 0.43/0.55  #    Positive orientable unit clauses  : 19
% 0.43/0.55  #    Positive unorientable unit clauses: 0
% 0.43/0.55  #    Negative unit clauses             : 6
% 0.43/0.55  #    Non-unit-clauses                  : 3
% 0.43/0.55  # Current number of unprocessed clauses: 159
% 0.43/0.55  # ...number of literals in the above   : 767
% 0.43/0.55  # Current number of archived formulas  : 0
% 0.43/0.55  # Current number of archived clauses   : 1
% 0.43/0.55  # Clause-clause subsumption calls (NU) : 0
% 0.43/0.55  # Rec. Clause-clause subsumption calls : 0
% 0.43/0.55  # Non-unit clause-clause subsumptions  : 0
% 0.43/0.55  # Unit Clause-clause subsumption calls : 3
% 0.43/0.55  # Rewrite failures with RHS unbound    : 0
% 0.43/0.55  # BW rewrite match attempts            : 2
% 0.43/0.55  # BW rewrite match successes           : 1
% 0.43/0.55  # Condensation attempts                : 0
% 0.43/0.55  # Condensation successes               : 0
% 0.43/0.55  # Termbank termtop insertions          : 24243
% 0.43/0.55  # Search garbage collected termcells   : 5099
% 0.43/0.55  
% 0.43/0.55  # -------------------------------------------------
% 0.43/0.55  # User time                : 0.017 s
% 0.43/0.55  # System time              : 0.007 s
% 0.43/0.55  # Total time               : 0.023 s
% 0.43/0.55  # Maximum resident set size: 3132 pages
% 0.43/0.55  
% 0.43/0.55  # -------------------------------------------------
% 0.43/0.55  # User time                : 0.033 s
% 0.43/0.55  # System time              : 0.011 s
% 0.43/0.55  # Total time               : 0.044 s
% 0.43/0.55  # Maximum resident set size: 2188 pages
% 0.43/0.55  % E---3.1 exiting
% 0.43/0.55  % E exiting
%------------------------------------------------------------------------------