TSTP Solution File: LCL755-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : LCL755-1 : TPTP v8.1.2. Released v4.1.0.
% 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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 18:21:48 EDT 2023

% Result   : Unsatisfiable 0.47s 0.59s
% Output   : CNFRefutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   11 (   9 unt;   0 nHn;   7 RR)
%            Number of literals    :   13 (   2 equ;   6 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-3 aty)
%            Number of variables   :    8 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
    ~ c_InductTermi_OIT(c_Lambda_OdB_OAbs(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(c_Suc(v_ia)),c_Suc(v_ja)))),
    file('/export/starexec/sandbox2/tmp/tmp.eoUaMb1OED/E---3.1_17273.p',cls_conjecture_2) ).

cnf(cls_Suc__eq__plus1_0,axiom,
    c_Suc(X1) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
    file('/export/starexec/sandbox2/tmp/tmp.eoUaMb1OED/E---3.1_17273.p',cls_Suc__eq__plus1_0) ).

cnf(cls_Lambda_0,axiom,
    ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X1))
    | ~ c_InductTermi_OIT(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.eoUaMb1OED/E---3.1_17273.p',cls_Lambda_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(X1),X2)),
    file('/export/starexec/sandbox2/tmp/tmp.eoUaMb1OED/E---3.1_17273.p',cls_conjecture_1) ).

cnf(c_0_4,negated_conjecture,
    ~ c_InductTermi_OIT(c_Lambda_OdB_OAbs(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(c_Suc(v_ia)),c_Suc(v_ja)))),
    cls_conjecture_2 ).

cnf(c_0_5,axiom,
    c_Suc(X1) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
    cls_Suc__eq__plus1_0 ).

cnf(c_0_6,negated_conjecture,
    ~ c_InductTermi_OIT(c_Lambda_OdB_OAbs(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(v_ia,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),c_HOL_Oplus__class_Oplus(v_ja,c_HOL_Oone__class_Oone(tc_nat),tc_nat)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4,c_0_5]),c_0_5]) ).

cnf(c_0_7,axiom,
    ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X1))
    | ~ c_InductTermi_OIT(X1) ),
    cls_Lambda_0 ).

cnf(c_0_8,negated_conjecture,
    ~ c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(v_ia,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),c_HOL_Oplus__class_Oplus(v_ja,c_HOL_Oone__class_Oone(tc_nat),tc_nat))),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_9,negated_conjecture,
    c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(X1),X2)),
    cls_conjecture_1 ).

cnf(c_0_10,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.17  % Problem    : LCL755-1 : TPTP v8.1.2. Released v4.1.0.
% 0.09/0.18  % Command    : run_E %s %d THM
% 0.17/0.36  % Computer : n031.cluster.edu
% 0.17/0.36  % Model    : x86_64 x86_64
% 0.17/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.36  % Memory   : 8042.1875MB
% 0.17/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36  % CPULimit   : 2400
% 0.17/0.36  % WCLimit    : 300
% 0.17/0.36  % DateTime   : Mon Oct  2 13:33:58 EDT 2023
% 0.17/0.36  % 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.eoUaMb1OED/E---3.1_17273.p
% 0.47/0.59  # Version: 3.1pre001
% 0.47/0.59  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.47/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.47/0.59  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.47/0.59  # Starting new_bool_3 with 300s (1) cores
% 0.47/0.59  # Starting new_bool_1 with 300s (1) cores
% 0.47/0.59  # Starting sh5l with 300s (1) cores
% 0.47/0.59  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 17351 completed with status 0
% 0.47/0.59  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.47/0.59  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.47/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.47/0.59  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.47/0.59  # No SInE strategy applied
% 0.47/0.59  # Search class: FGHSM-FSLM32-MFFFFFNN
% 0.47/0.59  # Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 0.47/0.59  # Starting G-E--_303_C18_F1_URBAN_S0Y with 123s (1) cores
% 0.47/0.59  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.47/0.59  # Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 0.47/0.59  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 123s (1) cores
% 0.47/0.59  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0i with 123s (1) cores
% 0.47/0.59  # U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with pid 17360 completed with status 0
% 0.47/0.59  # Result found by U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN
% 0.47/0.59  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.47/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.47/0.59  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.47/0.59  # No SInE strategy applied
% 0.47/0.59  # Search class: FGHSM-FSLM32-MFFFFFNN
% 0.47/0.59  # Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 0.47/0.59  # Starting G-E--_303_C18_F1_URBAN_S0Y with 123s (1) cores
% 0.47/0.59  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.47/0.59  # Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 0.47/0.59  # Preprocessing time       : 0.008 s
% 0.47/0.59  # Presaturation interreduction done
% 0.47/0.59  
% 0.47/0.59  # Proof found!
% 0.47/0.59  # SZS status Unsatisfiable
% 0.47/0.59  # SZS output start CNFRefutation
% See solution above
% 0.47/0.59  # Parsed axioms                        : 755
% 0.47/0.59  # Removed by relevancy pruning/SinE    : 0
% 0.47/0.59  # Initial clauses                      : 755
% 0.47/0.59  # Removed in clause preprocessing      : 1
% 0.47/0.59  # Initial clauses in saturation        : 754
% 0.47/0.59  # Processed clauses                    : 806
% 0.47/0.59  # ...of these trivial                  : 21
% 0.47/0.59  # ...subsumed                          : 129
% 0.47/0.59  # ...remaining for further processing  : 656
% 0.47/0.59  # Other redundant clauses eliminated   : 0
% 0.47/0.59  # Clauses deleted for lack of memory   : 0
% 0.47/0.59  # Backward-subsumed                    : 10
% 0.47/0.59  # Backward-rewritten                   : 8
% 0.47/0.59  # Generated clauses                    : 1
% 0.47/0.59  # ...of the previous two non-redundant : 4
% 0.47/0.59  # ...aggressively subsumed             : 0
% 0.47/0.59  # Contextual simplify-reflections      : 2
% 0.47/0.59  # Paramodulations                      : 1
% 0.47/0.59  # Factorizations                       : 0
% 0.47/0.59  # NegExts                              : 0
% 0.47/0.59  # Equation resolutions                 : 0
% 0.47/0.59  # Total rewrite steps                  : 127
% 0.47/0.59  # Propositional unsat checks           : 0
% 0.47/0.59  #    Propositional check models        : 0
% 0.47/0.59  #    Propositional check unsatisfiable : 0
% 0.47/0.59  #    Propositional clauses             : 0
% 0.47/0.59  #    Propositional clauses after purity: 0
% 0.47/0.59  #    Propositional unsat core size     : 0
% 0.47/0.59  #    Propositional preprocessing time  : 0.000
% 0.47/0.59  #    Propositional encoding time       : 0.000
% 0.47/0.59  #    Propositional solver time         : 0.000
% 0.47/0.59  #    Success case prop preproc time    : 0.000
% 0.47/0.59  #    Success case prop encoding time   : 0.000
% 0.47/0.59  #    Success case prop solver time     : 0.000
% 0.47/0.59  # Current number of processed clauses  : 48
% 0.47/0.59  #    Positive orientable unit clauses  : 38
% 0.47/0.59  #    Positive unorientable unit clauses: 0
% 0.47/0.59  #    Negative unit clauses             : 8
% 0.47/0.59  #    Non-unit-clauses                  : 2
% 0.47/0.59  # Current number of unprocessed clauses: 542
% 0.47/0.59  # ...number of literals in the above   : 1421
% 0.47/0.59  # Current number of archived formulas  : 0
% 0.47/0.59  # Current number of archived clauses   : 609
% 0.47/0.59  # Clause-clause subsumption calls (NU) : 40586
% 0.47/0.59  # Rec. Clause-clause subsumption calls : 24853
% 0.47/0.59  # Non-unit clause-clause subsumptions  : 124
% 0.47/0.59  # Unit Clause-clause subsumption calls : 36
% 0.47/0.59  # Rewrite failures with RHS unbound    : 0
% 0.47/0.59  # BW rewrite match attempts            : 76
% 0.47/0.59  # BW rewrite match successes           : 51
% 0.47/0.59  # Condensation attempts                : 0
% 0.47/0.59  # Condensation successes               : 0
% 0.47/0.59  # Termbank termtop insertions          : 23603
% 0.47/0.59  
% 0.47/0.59  # -------------------------------------------------
% 0.47/0.59  # User time                : 0.060 s
% 0.47/0.59  # System time              : 0.009 s
% 0.47/0.59  # Total time               : 0.069 s
% 0.47/0.59  # Maximum resident set size: 3052 pages
% 0.47/0.59  
% 0.47/0.59  # -------------------------------------------------
% 0.47/0.59  # User time                : 0.290 s
% 0.47/0.59  # System time              : 0.031 s
% 0.47/0.59  # Total time               : 0.320 s
% 0.47/0.59  # Maximum resident set size: 2176 pages
% 0.47/0.59  % E---3.1 exiting
% 0.47/0.59  % E---3.1 exiting
%------------------------------------------------------------------------------