TSTP Solution File: LCL787-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : LCL787-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n026.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 : Tue May 21 00:03:41 EDT 2024

% Result   : Unsatisfiable 3.93s 0.99s
% Output   : CNFRefutation 3.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   21 (  11 unt;   0 nHn;  21 RR)
%            Number of literals    :   34 (   2 equ;  17 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;  10 con; 0-5 aty)
%            Number of variables   :   28 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_that_0,axiom,
    ( v_thesis____
    | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X1)
    | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,X1),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_that_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ v_thesis____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_typing__elims_I2_J_0,axiom,
    ( c_Type_Otyping(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X1,X2,X4)),X3))
    | ~ c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4),X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_typing__elims_I2_J_0) ).

cnf(cls_headT_0,axiom,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_headT_0) ).

cnf(cls_True_0,axiom,
    v_n____ = v_i____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_True_0) ).

cnf(cls_typing__elims_I2_J_1,axiom,
    ( c_Type_Otyping(X1,X2,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X1,X4,X2))
    | ~ c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X4),X2),X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_typing__elims_I2_J_1) ).

cnf(c_0_6,plain,
    ( v_thesis____
    | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X1)
    | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,X1),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
    inference(fof_simplification,[status(thm)],[cls_that_0]) ).

cnf(c_0_7,negated_conjecture,
    ~ v_thesis____,
    inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).

cnf(c_0_8,plain,
    ( c_Type_Otyping(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X1,X2,X4)),X3))
    | ~ c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4),X3) ),
    inference(fof_simplification,[status(thm)],[cls_typing__elims_I2_J_0]) ).

cnf(c_0_9,axiom,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
    cls_headT_0 ).

cnf(c_0_10,axiom,
    v_n____ = v_i____,
    cls_True_0 ).

cnf(c_0_11,plain,
    ( c_Type_Otyping(X1,X2,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X1,X4,X2))
    | ~ c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X4),X2),X3) ),
    inference(fof_simplification,[status(thm)],[cls_typing__elims_I2_J_1]) ).

cnf(c_0_12,plain,
    ( v_thesis____
    | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X1)
    | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,X1),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
    c_0_6 ).

cnf(c_0_13,negated_conjecture,
    ~ v_thesis____,
    c_0_7 ).

cnf(c_0_14,plain,
    ( c_Type_Otyping(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X1,X2,X4)),X3))
    | ~ c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4),X3) ),
    c_0_8 ).

cnf(c_0_15,plain,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
    inference(rw,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_16,plain,
    ( c_Type_Otyping(X1,X2,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X1,X4,X2))
    | ~ c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X4),X2),X3) ),
    c_0_11 ).

cnf(c_0_17,plain,
    ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_i____),hAPP(hAPP(c_Type_Otype_OFun,X1),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))
    | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X1) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_10]),c_0_13]) ).

cnf(c_0_18,plain,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_i____),hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_i____),v_a____)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_19,plain,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,c_Type_Osko__Type__Xtyping__elims__2__1(c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_i____),v_a____)),
    inference(spm,[status(thm)],[c_0_16,c_0_15]) ).

cnf(c_0_20,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL787-1 : TPTP v8.2.0. Released v4.1.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 00:51:08 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  Running first-order model finding
% 0.20/0.48  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/benchmark/theBenchmark.p
% 3.93/0.99  # Version: 3.1.0
% 3.93/0.99  # Preprocessing class: FSLSSMSMSSSNFFN.
% 3.93/0.99  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.93/0.99  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 3.93/0.99  # Starting new_bool_3 with 300s (1) cores
% 3.93/0.99  # Starting new_bool_1 with 300s (1) cores
% 3.93/0.99  # Starting sh5l with 300s (1) cores
% 3.93/0.99  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 17565 completed with status 0
% 3.93/0.99  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 3.93/0.99  # Preprocessing class: FSLSSMSMSSSNFFN.
% 3.93/0.99  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.93/0.99  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 3.93/0.99  # No SInE strategy applied
% 3.93/0.99  # Search class: FGHSM-FSLM32-MFFFFFNN
% 3.93/0.99  # Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 3.93/0.99  # Starting G-E--_303_C18_F1_URBAN_S0Y with 123s (1) cores
% 3.93/0.99  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 3.93/0.99  # Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 3.93/0.99  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 123s (1) cores
% 3.93/0.99  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0i with 123s (1) cores
% 3.93/0.99  # G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0i with pid 17576 completed with status 0
% 3.93/0.99  # Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0i
% 3.93/0.99  # Preprocessing class: FSLSSMSMSSSNFFN.
% 3.93/0.99  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.93/0.99  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 3.93/0.99  # No SInE strategy applied
% 3.93/0.99  # Search class: FGHSM-FSLM32-MFFFFFNN
% 3.93/0.99  # Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 3.93/0.99  # Starting G-E--_303_C18_F1_URBAN_S0Y with 123s (1) cores
% 3.93/0.99  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 3.93/0.99  # Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 3.93/0.99  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 123s (1) cores
% 3.93/0.99  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0i with 123s (1) cores
% 3.93/0.99  # Preprocessing time       : 0.006 s
% 3.93/0.99  # Presaturation interreduction done
% 3.93/0.99  
% 3.93/0.99  # Proof found!
% 3.93/0.99  # SZS status Unsatisfiable
% 3.93/0.99  # SZS output start CNFRefutation
% See solution above
% 3.93/0.99  # Parsed axioms                        : 378
% 3.93/0.99  # Removed by relevancy pruning/SinE    : 0
% 3.93/0.99  # Initial clauses                      : 378
% 3.93/0.99  # Removed in clause preprocessing      : 0
% 3.93/0.99  # Initial clauses in saturation        : 378
% 3.93/0.99  # Processed clauses                    : 5935
% 3.93/0.99  # ...of these trivial                  : 77
% 3.93/0.99  # ...subsumed                          : 3779
% 3.93/0.99  # ...remaining for further processing  : 2079
% 3.93/0.99  # Other redundant clauses eliminated   : 18
% 3.93/0.99  # Clauses deleted for lack of memory   : 0
% 3.93/0.99  # Backward-subsumed                    : 70
% 3.93/0.99  # Backward-rewritten                   : 23
% 3.93/0.99  # Generated clauses                    : 24463
% 3.93/0.99  # ...of the previous two non-redundant : 23280
% 3.93/0.99  # ...aggressively subsumed             : 0
% 3.93/0.99  # Contextual simplify-reflections      : 3
% 3.93/0.99  # Paramodulations                      : 24353
% 3.93/0.99  # Factorizations                       : 4
% 3.93/0.99  # NegExts                              : 0
% 3.93/0.99  # Equation resolutions                 : 106
% 3.93/0.99  # Disequality decompositions           : 0
% 3.93/0.99  # Total rewrite steps                  : 10020
% 3.93/0.99  # ...of those cached                   : 7290
% 3.93/0.99  # Propositional unsat checks           : 0
% 3.93/0.99  #    Propositional check models        : 0
% 3.93/0.99  #    Propositional check unsatisfiable : 0
% 3.93/0.99  #    Propositional clauses             : 0
% 3.93/0.99  #    Propositional clauses after purity: 0
% 3.93/0.99  #    Propositional unsat core size     : 0
% 3.93/0.99  #    Propositional preprocessing time  : 0.000
% 3.93/0.99  #    Propositional encoding time       : 0.000
% 3.93/0.99  #    Propositional solver time         : 0.000
% 3.93/0.99  #    Success case prop preproc time    : 0.000
% 3.93/0.99  #    Success case prop encoding time   : 0.000
% 3.93/0.99  #    Success case prop solver time     : 0.000
% 3.93/0.99  # Current number of processed clauses  : 1683
% 3.93/0.99  #    Positive orientable unit clauses  : 457
% 3.93/0.99  #    Positive unorientable unit clauses: 19
% 3.93/0.99  #    Negative unit clauses             : 436
% 3.93/0.99  #    Non-unit-clauses                  : 771
% 3.93/0.99  # Current number of unprocessed clauses: 17956
% 3.93/0.99  # ...number of literals in the above   : 33624
% 3.93/0.99  # Current number of archived formulas  : 0
% 3.93/0.99  # Current number of archived clauses   : 396
% 3.93/0.99  # Clause-clause subsumption calls (NU) : 93418
% 3.93/0.99  # Rec. Clause-clause subsumption calls : 78898
% 3.93/0.99  # Non-unit clause-clause subsumptions  : 977
% 3.93/0.99  # Unit Clause-clause subsumption calls : 52158
% 3.93/0.99  # Rewrite failures with RHS unbound    : 41
% 3.93/0.99  # BW rewrite match attempts            : 9387
% 3.93/0.99  # BW rewrite match successes           : 74
% 3.93/0.99  # Condensation attempts                : 0
% 3.93/0.99  # Condensation successes               : 0
% 3.93/0.99  # Termbank termtop insertions          : 350053
% 3.93/0.99  # Search garbage collected termcells   : 665
% 3.93/0.99  
% 3.93/0.99  # -------------------------------------------------
% 3.93/0.99  # User time                : 0.461 s
% 3.93/0.99  # System time              : 0.024 s
% 3.93/0.99  # Total time               : 0.485 s
% 3.93/0.99  # Maximum resident set size: 2440 pages
% 3.93/0.99  
% 3.93/0.99  # -------------------------------------------------
% 3.93/0.99  # User time                : 2.316 s
% 3.93/0.99  # System time              : 0.089 s
% 3.93/0.99  # Total time               : 2.406 s
% 3.93/0.99  # Maximum resident set size: 1992 pages
% 3.93/0.99  % E---3.1 exiting
%------------------------------------------------------------------------------