TSTP Solution File: LCL835-1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : LCL835-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n005.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 18:22:03 EDT 2023
% Result : Unsatisfiable 0.44s 0.69s
% Output : CNFRefutation 0.44s
% 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 : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 13 con; 0-5 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_subject__reduction_0,axiom,
( c_Type_Otyping(X1,X2,X3)
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X4),X2))
| ~ c_Type_Otyping(X1,X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.Vn5QdJgobM/E---3.1_19346.p',cls_subject__reduction_0) ).
cnf(cls_CHAINED_0,axiom,
hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))),
file('/export/starexec/sandbox2/tmp/tmp.Vn5QdJgobM/E---3.1_19346.p',cls_CHAINED_0) ).
cnf(cls_T_0,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
file('/export/starexec/sandbox2/tmp/tmp.Vn5QdJgobM/E---3.1_19346.p',cls_T_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
file('/export/starexec/sandbox2/tmp/tmp.Vn5QdJgobM/E---3.1_19346.p',cls_conjecture_0) ).
cnf(c_0_4,axiom,
( c_Type_Otyping(X1,X2,X3)
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X4),X2))
| ~ c_Type_Otyping(X1,X4,X3) ),
cls_subject__reduction_0 ).
cnf(c_0_5,axiom,
hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))),
cls_CHAINED_0 ).
cnf(c_0_6,plain,
( c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),X2)
| ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_7,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
cls_T_0 ).
cnf(c_0_8,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
cls_conjecture_0 ).
cnf(c_0_9,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.18/0.18 % Problem : LCL835-1 : TPTP v8.1.2. Released v4.1.0.
% 0.18/0.19 % Command : run_E %s %d THM
% 0.19/0.40 % Computer : n005.cluster.edu
% 0.19/0.40 % Model : x86_64 x86_64
% 0.19/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.40 % Memory : 8042.1875MB
% 0.19/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.40 % CPULimit : 2400
% 0.19/0.40 % WCLimit : 300
% 0.19/0.40 % DateTime : Mon Oct 2 12:09:01 EDT 2023
% 0.19/0.41 % CPUTime :
% 0.38/0.59 Running first-order theorem proving
% 0.38/0.59 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.Vn5QdJgobM/E---3.1_19346.p
% 0.44/0.69 # Version: 3.1pre001
% 0.44/0.69 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.44/0.69 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.69 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.44/0.69 # Starting new_bool_3 with 300s (1) cores
% 0.44/0.69 # Starting new_bool_1 with 300s (1) cores
% 0.44/0.69 # Starting sh5l with 300s (1) cores
% 0.44/0.69 # new_bool_1 with pid 19426 completed with status 0
% 0.44/0.69 # Result found by new_bool_1
% 0.44/0.69 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.44/0.69 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.69 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.44/0.69 # Starting new_bool_3 with 300s (1) cores
% 0.44/0.69 # Starting new_bool_1 with 300s (1) cores
% 0.44/0.69 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.44/0.69 # Search class: FGHSM-FSLM32-DFFFFFNN
% 0.44/0.69 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.44/0.69 # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 0.44/0.69 # G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 19428 completed with status 0
% 0.44/0.69 # Result found by G-E--_301_C18_F1_URBAN_S5PRR_S0Y
% 0.44/0.69 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.44/0.69 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.69 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.44/0.69 # Starting new_bool_3 with 300s (1) cores
% 0.44/0.69 # Starting new_bool_1 with 300s (1) cores
% 0.44/0.69 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.44/0.69 # Search class: FGHSM-FSLM32-DFFFFFNN
% 0.44/0.69 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.44/0.69 # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 0.44/0.69 # Preprocessing time : 0.018 s
% 0.44/0.69
% 0.44/0.69 # Proof found!
% 0.44/0.69 # SZS status Unsatisfiable
% 0.44/0.69 # SZS output start CNFRefutation
% See solution above
% 0.44/0.69 # Parsed axioms : 494
% 0.44/0.69 # Removed by relevancy pruning/SinE : 249
% 0.44/0.69 # Initial clauses : 245
% 0.44/0.69 # Removed in clause preprocessing : 0
% 0.44/0.69 # Initial clauses in saturation : 245
% 0.44/0.69 # Processed clauses : 407
% 0.44/0.69 # ...of these trivial : 27
% 0.44/0.69 # ...subsumed : 170
% 0.44/0.69 # ...remaining for further processing : 210
% 0.44/0.69 # Other redundant clauses eliminated : 1
% 0.44/0.69 # Clauses deleted for lack of memory : 0
% 0.44/0.69 # Backward-subsumed : 2
% 0.44/0.69 # Backward-rewritten : 8
% 0.44/0.69 # Generated clauses : 1178
% 0.44/0.69 # ...of the previous two non-redundant : 963
% 0.44/0.69 # ...aggressively subsumed : 0
% 0.44/0.69 # Contextual simplify-reflections : 0
% 0.44/0.69 # Paramodulations : 1154
% 0.44/0.69 # Factorizations : 2
% 0.44/0.69 # NegExts : 0
% 0.44/0.69 # Equation resolutions : 22
% 0.44/0.69 # Total rewrite steps : 354
% 0.44/0.69 # Propositional unsat checks : 0
% 0.44/0.69 # Propositional check models : 0
% 0.44/0.69 # Propositional check unsatisfiable : 0
% 0.44/0.69 # Propositional clauses : 0
% 0.44/0.69 # Propositional clauses after purity: 0
% 0.44/0.69 # Propositional unsat core size : 0
% 0.44/0.69 # Propositional preprocessing time : 0.000
% 0.44/0.69 # Propositional encoding time : 0.000
% 0.44/0.69 # Propositional solver time : 0.000
% 0.44/0.69 # Success case prop preproc time : 0.000
% 0.44/0.69 # Success case prop encoding time : 0.000
% 0.44/0.69 # Success case prop solver time : 0.000
% 0.44/0.69 # Current number of processed clauses : 200
% 0.44/0.69 # Positive orientable unit clauses : 38
% 0.44/0.69 # Positive unorientable unit clauses: 3
% 0.44/0.69 # Negative unit clauses : 23
% 0.44/0.69 # Non-unit-clauses : 136
% 0.44/0.69 # Current number of unprocessed clauses: 794
% 0.44/0.69 # ...number of literals in the above : 1767
% 0.44/0.69 # Current number of archived formulas : 0
% 0.44/0.69 # Current number of archived clauses : 10
% 0.44/0.69 # Clause-clause subsumption calls (NU) : 3669
% 0.44/0.69 # Rec. Clause-clause subsumption calls : 3136
% 0.44/0.69 # Non-unit clause-clause subsumptions : 102
% 0.44/0.69 # Unit Clause-clause subsumption calls : 317
% 0.44/0.69 # Rewrite failures with RHS unbound : 0
% 0.44/0.69 # BW rewrite match attempts : 76
% 0.44/0.69 # BW rewrite match successes : 19
% 0.44/0.69 # Condensation attempts : 0
% 0.44/0.69 # Condensation successes : 0
% 0.44/0.69 # Termbank termtop insertions : 25825
% 0.44/0.69
% 0.44/0.69 # -------------------------------------------------
% 0.44/0.69 # User time : 0.037 s
% 0.44/0.69 # System time : 0.010 s
% 0.44/0.69 # Total time : 0.048 s
% 0.44/0.69 # Maximum resident set size: 2472 pages
% 0.44/0.69
% 0.44/0.69 # -------------------------------------------------
% 0.44/0.69 # User time : 0.049 s
% 0.44/0.69 # System time : 0.013 s
% 0.44/0.69 # Total time : 0.062 s
% 0.44/0.69 # Maximum resident set size: 2068 pages
% 0.44/0.69 % E---3.1 exiting
% 0.44/0.69 % E---3.1 exiting
%------------------------------------------------------------------------------