TSTP Solution File: LCL816-1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : LCL816-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n002.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 08:24:37 EDT 2024
% Result : Unsatisfiable 20.29s 3.19s
% Output : CNFRefutation 20.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 15 ( 11 unt; 0 nHn; 10 RR)
% Number of literals : 22 ( 2 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 13 con; 0-5 aty)
% Number of variables : 37 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_list__app__typeI_0,axiom,
( c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
| ~ c_Type_Otypings(X1,X3,X5)
| ~ c_Type_Otyping(X1,X2,c_List_Ofoldr(c_Type_Otype_OFun,X5,X4,tc_Type_Otype,tc_Type_Otype)) ),
file('/export/starexec/sandbox/tmp/tmp.tVQNZl0STb/E---3.1_17982.p',cls_list__app__typeI_0) ).
cnf(cls_typing_OVar_0,axiom,
c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),hAPP(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.tVQNZl0STb/E---3.1_17982.p',cls_typing_OVar_0) ).
cnf(cls_shift__eq_0,axiom,
hAPP(c_Type_Oshift(X1,X2,X3,X4),X2) = X3,
file('/export/starexec/sandbox/tmp/tmp.tVQNZl0STb/E---3.1_17982.p',cls_shift__eq_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
file('/export/starexec/sandbox/tmp/tmp.tVQNZl0STb/E---3.1_17982.p',cls_conjecture_0) ).
cnf(cls_CHAINED_0,axiom,
c_Type_Otypings(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____),
file('/export/starexec/sandbox/tmp/tmp.tVQNZl0STb/E---3.1_17982.p',cls_CHAINED_0) ).
cnf(c_0_5,plain,
( c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
| ~ c_Type_Otypings(X1,X3,X5)
| ~ c_Type_Otyping(X1,X2,c_List_Ofoldr(c_Type_Otype_OFun,X5,X4,tc_Type_Otype,tc_Type_Otype)) ),
inference(fof_simplification,[status(thm)],[cls_list__app__typeI_0]) ).
cnf(c_0_6,axiom,
c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),hAPP(X1,X2)),
cls_typing_OVar_0 ).
cnf(c_0_7,axiom,
hAPP(c_Type_Oshift(X1,X2,X3,X4),X2) = X3,
cls_shift__eq_0 ).
cnf(c_0_8,plain,
( c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
| ~ c_Type_Otypings(X1,X3,X5)
| ~ c_Type_Otyping(X1,X2,c_List_Ofoldr(c_Type_Otype_OFun,X5,X4,tc_Type_Otype,tc_Type_Otype)) ),
c_0_5 ).
cnf(c_0_9,plain,
c_Type_Otyping(c_Type_Oshift(X1,X2,X3,X4),c_Lambda_OdB_OVar(X2),X3),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_11,plain,
( c_Type_Otyping(c_Type_Oshift(X1,X2,c_List_Ofoldr(c_Type_Otype_OFun,X3,X4,tc_Type_Otype,tc_Type_Otype),X5),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X6,tc_Lambda_OdB,tc_Lambda_OdB),X4)
| ~ c_Type_Otypings(c_Type_Oshift(X1,X2,c_List_Ofoldr(c_Type_Otype_OFun,X3,X4,tc_Type_Otype,tc_Type_Otype),X5),X6,X3) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,axiom,
c_Type_Otypings(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____),
cls_CHAINED_0 ).
cnf(c_0_13,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
c_0_10 ).
cnf(c_0_14,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.17 % Problem : LCL816-1 : TPTP v8.1.2. Released v4.1.0.
% 0.17/0.18 % Command : run_E %s %d THM
% 0.18/0.40 % Computer : n002.cluster.edu
% 0.18/0.40 % Model : x86_64 x86_64
% 0.18/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.40 % Memory : 8042.1875MB
% 0.18/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.40 % CPULimit : 300
% 0.18/0.40 % WCLimit : 300
% 0.18/0.40 % DateTime : Fri May 3 09:19:12 EDT 2024
% 0.25/0.40 % CPUTime :
% 0.25/0.58 Running first-order theorem proving
% 0.25/0.58 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.tVQNZl0STb/E---3.1_17982.p
% 20.29/3.19 # Version: 3.1.0
% 20.29/3.19 # Preprocessing class: FSLSSMSMSSSNFFN.
% 20.29/3.19 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.29/3.19 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 20.29/3.19 # Starting new_bool_3 with 300s (1) cores
% 20.29/3.19 # Starting new_bool_1 with 300s (1) cores
% 20.29/3.19 # Starting sh5l with 300s (1) cores
% 20.29/3.19 # new_bool_3 with pid 18061 completed with status 0
% 20.29/3.19 # Result found by new_bool_3
% 20.29/3.19 # Preprocessing class: FSLSSMSMSSSNFFN.
% 20.29/3.19 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.29/3.19 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 20.29/3.19 # Starting new_bool_3 with 300s (1) cores
% 20.29/3.19 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 20.29/3.19 # Search class: FGHSM-FSLM32-DFFFFFNN
% 20.29/3.19 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 20.29/3.19 # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 20.29/3.19 # G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 18065 completed with status 0
% 20.29/3.19 # Result found by G-E--_301_C18_F1_URBAN_S5PRR_S0Y
% 20.29/3.19 # Preprocessing class: FSLSSMSMSSSNFFN.
% 20.29/3.19 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.29/3.19 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 20.29/3.19 # Starting new_bool_3 with 300s (1) cores
% 20.29/3.19 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 20.29/3.19 # Search class: FGHSM-FSLM32-DFFFFFNN
% 20.29/3.19 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 20.29/3.19 # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 20.29/3.19 # Preprocessing time : 0.029 s
% 20.29/3.19
% 20.29/3.19 # Proof found!
% 20.29/3.19 # SZS status Unsatisfiable
% 20.29/3.19 # SZS output start CNFRefutation
% See solution above
% 20.29/3.19 # Parsed axioms : 506
% 20.29/3.19 # Removed by relevancy pruning/SinE : 215
% 20.29/3.19 # Initial clauses : 291
% 20.29/3.19 # Removed in clause preprocessing : 0
% 20.29/3.19 # Initial clauses in saturation : 291
% 20.29/3.19 # Processed clauses : 5159
% 20.29/3.19 # ...of these trivial : 70
% 20.29/3.19 # ...subsumed : 3353
% 20.29/3.19 # ...remaining for further processing : 1736
% 20.29/3.19 # Other redundant clauses eliminated : 327
% 20.29/3.19 # Clauses deleted for lack of memory : 0
% 20.29/3.19 # Backward-subsumed : 42
% 20.29/3.19 # Backward-rewritten : 32
% 20.29/3.19 # Generated clauses : 137620
% 20.29/3.19 # ...of the previous two non-redundant : 125620
% 20.29/3.19 # ...aggressively subsumed : 0
% 20.29/3.19 # Contextual simplify-reflections : 15
% 20.29/3.19 # Paramodulations : 137161
% 20.29/3.19 # Factorizations : 47
% 20.29/3.19 # NegExts : 0
% 20.29/3.19 # Equation resolutions : 412
% 20.29/3.19 # Disequality decompositions : 0
% 20.29/3.19 # Total rewrite steps : 40396
% 20.29/3.19 # ...of those cached : 35413
% 20.29/3.19 # Propositional unsat checks : 0
% 20.29/3.19 # Propositional check models : 0
% 20.29/3.19 # Propositional check unsatisfiable : 0
% 20.29/3.19 # Propositional clauses : 0
% 20.29/3.19 # Propositional clauses after purity: 0
% 20.29/3.19 # Propositional unsat core size : 0
% 20.29/3.19 # Propositional preprocessing time : 0.000
% 20.29/3.19 # Propositional encoding time : 0.000
% 20.29/3.19 # Propositional solver time : 0.000
% 20.29/3.19 # Success case prop preproc time : 0.000
% 20.29/3.19 # Success case prop encoding time : 0.000
% 20.29/3.19 # Success case prop solver time : 0.000
% 20.29/3.19 # Current number of processed clauses : 1662
% 20.29/3.19 # Positive orientable unit clauses : 137
% 20.29/3.19 # Positive unorientable unit clauses: 123
% 20.29/3.19 # Negative unit clauses : 175
% 20.29/3.19 # Non-unit-clauses : 1227
% 20.29/3.19 # Current number of unprocessed clauses: 120555
% 20.29/3.19 # ...number of literals in the above : 367083
% 20.29/3.19 # Current number of archived formulas : 0
% 20.29/3.19 # Current number of archived clauses : 74
% 20.29/3.19 # Clause-clause subsumption calls (NU) : 218769
% 20.29/3.19 # Rec. Clause-clause subsumption calls : 140424
% 20.29/3.19 # Non-unit clause-clause subsumptions : 2171
% 20.29/3.19 # Unit Clause-clause subsumption calls : 17856
% 20.29/3.19 # Rewrite failures with RHS unbound : 2
% 20.29/3.19 # BW rewrite match attempts : 2076
% 20.29/3.19 # BW rewrite match successes : 237
% 20.29/3.19 # Condensation attempts : 0
% 20.29/3.19 # Condensation successes : 0
% 20.29/3.19 # Termbank termtop insertions : 2534689
% 20.29/3.19 # Search garbage collected termcells : 1317
% 20.29/3.19
% 20.29/3.19 # -------------------------------------------------
% 20.29/3.19 # User time : 2.464 s
% 20.29/3.19 # System time : 0.070 s
% 20.29/3.19 # Total time : 2.534 s
% 20.29/3.19 # Maximum resident set size: 2520 pages
% 20.29/3.19
% 20.29/3.19 # -------------------------------------------------
% 20.29/3.19 # User time : 2.478 s
% 20.29/3.19 # System time : 0.072 s
% 20.29/3.19 # Total time : 2.550 s
% 20.29/3.19 # Maximum resident set size: 2080 pages
% 20.29/3.19 % E---3.1 exiting
% 20.29/3.20 % E exiting
%------------------------------------------------------------------------------