TSTP Solution File: LCL817-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : LCL817-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n008.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 18:21:59 EDT 2023

% Result   : Unsatisfiable 0.23s 0.57s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   10 (   7 unt;   0 nHn;  10 RR)
%            Number of literals    :   15 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-4 aty)
%            Number of variables   :   13 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_subst__lemma_0,axiom,
    ( c_Type_Otyping(X1,c_Lambda_Osubst(X5,X2,X4),X6)
    | ~ c_Type_Otyping(X1,X2,X3)
    | ~ c_Type_Otyping(c_Type_Oshift(X1,X4,X3,tc_Type_Otype),X5,X6) ),
    file('/export/starexec/sandbox/tmp/tmp.wsVW7S28mM/E---3.1_1163.p',cls_subst__lemma_0) ).

cnf(cls_argT_0,axiom,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____),
    file('/export/starexec/sandbox/tmp/tmp.wsVW7S28mM/E---3.1_1163.p',cls_argT_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,v_u____,v_i____),v_T_H_H____),
    file('/export/starexec/sandbox/tmp/tmp.wsVW7S28mM/E---3.1_1163.p',cls_conjecture_0) ).

cnf(cls_uT_0,axiom,
    c_Type_Otyping(v_e____,v_u____,v_T____),
    file('/export/starexec/sandbox/tmp/tmp.wsVW7S28mM/E---3.1_1163.p',cls_uT_0) ).

cnf(c_0_4,axiom,
    ( c_Type_Otyping(X1,c_Lambda_Osubst(X5,X2,X4),X6)
    | ~ c_Type_Otyping(X1,X2,X3)
    | ~ c_Type_Otyping(c_Type_Oshift(X1,X4,X3,tc_Type_Otype),X5,X6) ),
    cls_subst__lemma_0 ).

cnf(c_0_5,axiom,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____),
    cls_argT_0 ).

cnf(c_0_6,negated_conjecture,
    ~ c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,v_u____,v_i____),v_T_H_H____),
    cls_conjecture_0 ).

cnf(c_0_7,plain,
    ( c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,X1,v_i____),v_T_H_H____)
    | ~ c_Type_Otyping(v_e____,X1,v_T____) ),
    inference(spm,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_8,axiom,
    c_Type_Otyping(v_e____,v_u____,v_T____),
    cls_uT_0 ).

cnf(c_0_9,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14  % Problem    : LCL817-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.16  % Command    : run_E %s %d THM
% 0.15/0.37  % Computer : n008.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 2400
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Mon Oct  2 13:03:28 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.23/0.53  Running first-order theorem proving
% 0.23/0.53  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.wsVW7S28mM/E---3.1_1163.p
% 0.23/0.57  # Version: 3.1pre001
% 0.23/0.57  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.23/0.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.57  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.23/0.57  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.57  # Starting new_bool_1 with 300s (1) cores
% 0.23/0.57  # Starting sh5l with 300s (1) cores
% 0.23/0.57  # new_bool_3 with pid 1309 completed with status 0
% 0.23/0.57  # Result found by new_bool_3
% 0.23/0.57  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.23/0.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.57  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.23/0.57  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.57  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/0.57  # Search class: FGUSM-FFLM32-MFFFFFNN
% 0.23/0.57  # partial match(1): FGHSM-FFLM32-MFFFFFNN
% 0.23/0.57  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.57  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 181s (1) cores
% 0.23/0.57  # G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with pid 1314 completed with status 0
% 0.23/0.57  # Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN
% 0.23/0.57  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.23/0.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.57  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.23/0.57  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.57  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/0.57  # Search class: FGUSM-FFLM32-MFFFFFNN
% 0.23/0.57  # partial match(1): FGHSM-FFLM32-MFFFFFNN
% 0.23/0.57  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.57  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 181s (1) cores
% 0.23/0.57  # Preprocessing time       : 0.004 s
% 0.23/0.57  
% 0.23/0.57  # Proof found!
% 0.23/0.57  # SZS status Unsatisfiable
% 0.23/0.57  # SZS output start CNFRefutation
% See solution above
% 0.23/0.57  # Parsed axioms                        : 294
% 0.23/0.57  # Removed by relevancy pruning/SinE    : 155
% 0.23/0.57  # Initial clauses                      : 139
% 0.23/0.57  # Removed in clause preprocessing      : 0
% 0.23/0.57  # Initial clauses in saturation        : 139
% 0.23/0.57  # Processed clauses                    : 145
% 0.23/0.57  # ...of these trivial                  : 23
% 0.23/0.57  # ...subsumed                          : 18
% 0.23/0.57  # ...remaining for further processing  : 104
% 0.23/0.57  # Other redundant clauses eliminated   : 0
% 0.23/0.57  # Clauses deleted for lack of memory   : 0
% 0.23/0.57  # Backward-subsumed                    : 1
% 0.23/0.57  # Backward-rewritten                   : 3
% 0.23/0.57  # Generated clauses                    : 328
% 0.23/0.57  # ...of the previous two non-redundant : 261
% 0.23/0.57  # ...aggressively subsumed             : 0
% 0.23/0.57  # Contextual simplify-reflections      : 0
% 0.23/0.57  # Paramodulations                      : 309
% 0.23/0.57  # Factorizations                       : 2
% 0.23/0.57  # NegExts                              : 0
% 0.23/0.57  # Equation resolutions                 : 17
% 0.23/0.57  # Total rewrite steps                  : 105
% 0.23/0.57  # Propositional unsat checks           : 0
% 0.23/0.57  #    Propositional check models        : 0
% 0.23/0.57  #    Propositional check unsatisfiable : 0
% 0.23/0.57  #    Propositional clauses             : 0
% 0.23/0.57  #    Propositional clauses after purity: 0
% 0.23/0.57  #    Propositional unsat core size     : 0
% 0.23/0.57  #    Propositional preprocessing time  : 0.000
% 0.23/0.57  #    Propositional encoding time       : 0.000
% 0.23/0.57  #    Propositional solver time         : 0.000
% 0.23/0.57  #    Success case prop preproc time    : 0.000
% 0.23/0.57  #    Success case prop encoding time   : 0.000
% 0.23/0.57  #    Success case prop solver time     : 0.000
% 0.23/0.57  # Current number of processed clauses  : 100
% 0.23/0.57  #    Positive orientable unit clauses  : 25
% 0.23/0.57  #    Positive unorientable unit clauses: 2
% 0.23/0.57  #    Negative unit clauses             : 11
% 0.23/0.57  #    Non-unit-clauses                  : 62
% 0.23/0.57  # Current number of unprocessed clauses: 255
% 0.23/0.57  # ...number of literals in the above   : 571
% 0.23/0.57  # Current number of archived formulas  : 0
% 0.23/0.57  # Current number of archived clauses   : 4
% 0.23/0.57  # Clause-clause subsumption calls (NU) : 1077
% 0.23/0.57  # Rec. Clause-clause subsumption calls : 778
% 0.23/0.57  # Non-unit clause-clause subsumptions  : 10
% 0.23/0.57  # Unit Clause-clause subsumption calls : 26
% 0.23/0.57  # Rewrite failures with RHS unbound    : 0
% 0.23/0.57  # BW rewrite match attempts            : 51
% 0.23/0.57  # BW rewrite match successes           : 4
% 0.23/0.57  # Condensation attempts                : 0
% 0.23/0.57  # Condensation successes               : 0
% 0.23/0.57  # Termbank termtop insertions          : 9687
% 0.23/0.57  
% 0.23/0.57  # -------------------------------------------------
% 0.23/0.57  # User time                : 0.019 s
% 0.23/0.57  # System time              : 0.004 s
% 0.23/0.57  # Total time               : 0.023 s
% 0.23/0.57  # Maximum resident set size: 2180 pages
% 0.23/0.57  
% 0.23/0.57  # -------------------------------------------------
% 0.23/0.57  # User time                : 0.027 s
% 0.23/0.57  # System time              : 0.006 s
% 0.23/0.57  # Total time               : 0.033 s
% 0.23/0.57  # Maximum resident set size: 1920 pages
% 0.23/0.57  % E---3.1 exiting
% 0.23/0.57  % E---3.1 exiting
%------------------------------------------------------------------------------