TSTP Solution File: LCL747-1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : LCL747-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n004.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 18:21:47 EDT 2023
% Result : Unsatisfiable 364.68s 46.99s
% Output : CNFRefutation 364.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 24 ( 21 unt; 3 nHn; 7 RR)
% Number of literals : 27 ( 12 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-4 aty)
% Number of variables : 85 ( 41 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_not__less__eq_0,axiom,
( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X2)))
| hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.ZOaMwMutMv/E---3.1_11702.p',cls_not__less__eq_0) ).
cnf(cls_Suc__eq__plus1_0,axiom,
c_Suc(X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),
file('/export/starexec/sandbox2/tmp/tmp.ZOaMwMutMv/E---3.1_11702.p',cls_Suc__eq__plus1_0) ).
cnf(cls_not__add__less2_0,axiom,
~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat),X2)),
file('/export/starexec/sandbox2/tmp/tmp.ZOaMwMutMv/E---3.1_11702.p',cls_not__add__less2_0) ).
cnf(cls_COMBS__def_0,axiom,
hAPP(hAPP(c_COMBS(X1,X2,X3,X4),X5),X6) = hAPP(hAPP(X1,X6),hAPP(X5,X6)),
file('/export/starexec/sandbox2/tmp/tmp.ZOaMwMutMv/E---3.1_11702.p',cls_COMBS__def_0) ).
cnf(cls_plus__nat_Oadd__0_0,axiom,
hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1) = X1,
file('/export/starexec/sandbox2/tmp/tmp.ZOaMwMutMv/E---3.1_11702.p',cls_plus__nat_Oadd__0_0) ).
cnf(cls_not__add__less1_0,axiom,
~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat),X1)),
file('/export/starexec/sandbox2/tmp/tmp.ZOaMwMutMv/E---3.1_11702.p',cls_not__add__less1_0) ).
cnf(cls_nat__add__assoc_0,axiom,
hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)),
file('/export/starexec/sandbox2/tmp/tmp.ZOaMwMutMv/E---3.1_11702.p',cls_nat__add__assoc_0) ).
cnf(cls_COMBB__def_0,axiom,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
file('/export/starexec/sandbox2/tmp/tmp.ZOaMwMutMv/E---3.1_11702.p',cls_COMBB__def_0) ).
cnf(c_0_8,axiom,
( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X2)))
| hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X1)) ),
cls_not__less__eq_0 ).
cnf(c_0_9,axiom,
c_Suc(X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),
cls_Suc__eq__plus1_0 ).
cnf(c_0_10,axiom,
~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat),X2)),
cls_not__add__less2_0 ).
cnf(c_0_11,axiom,
hAPP(hAPP(c_COMBS(X1,X2,X3,X4),X5),X6) = hAPP(hAPP(X1,X6),hAPP(X5,X6)),
cls_COMBS__def_0 ).
cnf(c_0_12,axiom,
hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1) = X1,
cls_plus__nat_Oadd__0_0 ).
cnf(c_0_13,axiom,
~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat),X1)),
cls_not__add__less1_0 ).
cnf(c_0_14,plain,
( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X1))
| hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat)))) ),
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_15,axiom,
hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)),
cls_nat__add__assoc_0 ).
cnf(c_0_16,axiom,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
cls_COMBB__def_0 ).
cnf(c_0_17,plain,
~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),X1,X2,X3),X4),X5),tc_nat),hAPP(X4,X5))),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_18,plain,
hAPP(hAPP(c_COMBS(X1,X2,X3,X4),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))),X5) = hAPP(hAPP(X1,X5),X5),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_19,plain,
hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),X2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_20,plain,
hAPP(hAPP(c_COMBS(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6,X7,X8),X9),X10) = hAPP(hAPP(X4,hAPP(X5,X10)),hAPP(X9,X10)),
inference(spm,[status(thm)],[c_0_11,c_0_16]) ).
cnf(c_0_21,plain,
~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_COMBS(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),X1,X2,X3),X4,X5,X6),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))),X7),tc_nat),hAPP(X7,X7))),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(X1,X2),tc_nat),hAPP(hAPP(c_COMBS(hAPP(hAPP(c_COMBB(X3,X4,X5),c_HOL_Oplus__class_Oplus(tc_nat)),X1),X6,X7,X8),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat))),X2))),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,plain,
$false,
inference(spm,[status(thm)],[c_0_21,c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.20/0.20 % Problem : LCL747-1 : TPTP v8.1.2. Released v4.1.0.
% 0.20/0.22 % Command : run_E %s %d THM
% 0.23/0.46 % Computer : n004.cluster.edu
% 0.23/0.46 % Model : x86_64 x86_64
% 0.23/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.46 % Memory : 8042.1875MB
% 0.23/0.46 % OS : Linux 3.10.0-693.el7.x86_64
% 0.23/0.46 % CPULimit : 2400
% 0.23/0.46 % WCLimit : 300
% 0.23/0.46 % DateTime : Mon Oct 2 12:07:00 EDT 2023
% 0.23/0.46 % CPUTime :
% 0.32/0.64 Running first-order theorem proving
% 0.32/0.64 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.ZOaMwMutMv/E---3.1_11702.p
% 364.68/46.99 # Version: 3.1pre001
% 364.68/46.99 # Preprocessing class: FSLMSMSMSSSNFFN.
% 364.68/46.99 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 364.68/46.99 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 364.68/46.99 # Starting new_bool_3 with 600s (2) cores
% 364.68/46.99 # Starting new_bool_1 with 300s (1) cores
% 364.68/46.99 # Starting sh5l with 300s (1) cores
% 364.68/46.99 # G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with pid 11820 completed with status 0
% 364.68/46.99 # Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S
% 364.68/46.99 # Preprocessing class: FSLMSMSMSSSNFFN.
% 364.68/46.99 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 364.68/46.99 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 364.68/46.99 # No SInE strategy applied
% 364.68/46.99 # Search class: FGHSM-FSLM32-DFFFFFNN
% 364.68/46.99 # Scheduled 13 strats onto 4 cores with 1200 seconds (1200 total)
% 364.68/46.99 # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 90s (1) cores
% 364.68/46.99 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 364.68/46.99 # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 90s (1) cores
% 364.68/46.99 # Starting U----_206c_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 90s (1) cores
% 364.68/46.99 # G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 11828 completed with status 0
% 364.68/46.99 # Result found by G-E--_301_C18_F1_URBAN_S5PRR_S0Y
% 364.68/46.99 # Preprocessing class: FSLMSMSMSSSNFFN.
% 364.68/46.99 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 364.68/46.99 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 364.68/46.99 # No SInE strategy applied
% 364.68/46.99 # Search class: FGHSM-FSLM32-DFFFFFNN
% 364.68/46.99 # Scheduled 13 strats onto 4 cores with 1200 seconds (1200 total)
% 364.68/46.99 # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 90s (1) cores
% 364.68/46.99 # Preprocessing time : 0.092 s
% 364.68/46.99
% 364.68/46.99 # Proof found!
% 364.68/46.99 # SZS status Unsatisfiable
% 364.68/46.99 # SZS output start CNFRefutation
% See solution above
% 364.68/46.99 # Parsed axioms : 728
% 364.68/46.99 # Removed by relevancy pruning/SinE : 0
% 364.68/46.99 # Initial clauses : 728
% 364.68/46.99 # Removed in clause preprocessing : 3
% 364.68/46.99 # Initial clauses in saturation : 725
% 364.68/46.99 # Processed clauses : 20765
% 364.68/46.99 # ...of these trivial : 318
% 364.68/46.99 # ...subsumed : 15144
% 364.68/46.99 # ...remaining for further processing : 5303
% 364.68/46.99 # Other redundant clauses eliminated : 44
% 364.68/46.99 # Clauses deleted for lack of memory : 0
% 364.68/46.99 # Backward-subsumed : 408
% 364.68/46.99 # Backward-rewritten : 79
% 364.68/46.99 # Generated clauses : 1348829
% 364.68/46.99 # ...of the previous two non-redundant : 1313314
% 364.68/46.99 # ...aggressively subsumed : 0
% 364.68/46.99 # Contextual simplify-reflections : 20
% 364.68/46.99 # Paramodulations : 1348634
% 364.68/46.99 # Factorizations : 66
% 364.68/46.99 # NegExts : 0
% 364.68/46.99 # Equation resolutions : 122
% 364.68/46.99 # Total rewrite steps : 363431
% 364.68/46.99 # Propositional unsat checks : 1
% 364.68/46.99 # Propositional check models : 0
% 364.68/46.99 # Propositional check unsatisfiable : 0
% 364.68/46.99 # Propositional clauses : 0
% 364.68/46.99 # Propositional clauses after purity: 0
% 364.68/46.99 # Propositional unsat core size : 0
% 364.68/46.99 # Propositional preprocessing time : 0.000
% 364.68/46.99 # Propositional encoding time : 5.018
% 364.68/46.99 # Propositional solver time : 1.196
% 364.68/46.99 # Success case prop preproc time : 0.000
% 364.68/46.99 # Success case prop encoding time : 0.000
% 364.68/46.99 # Success case prop solver time : 0.000
% 364.68/46.99 # Current number of processed clauses : 4809
% 364.68/46.99 # Positive orientable unit clauses : 373
% 364.68/46.99 # Positive unorientable unit clauses: 99
% 364.68/46.99 # Negative unit clauses : 468
% 364.68/46.99 # Non-unit-clauses : 3869
% 364.68/46.99 # Current number of unprocessed clauses: 1290723
% 364.68/46.99 # ...number of literals in the above : 5008492
% 364.68/46.99 # Current number of archived formulas : 0
% 364.68/46.99 # Current number of archived clauses : 497
% 364.68/46.99 # Clause-clause subsumption calls (NU) : 1884123
% 364.68/46.99 # Rec. Clause-clause subsumption calls : 898751
% 364.68/46.99 # Non-unit clause-clause subsumptions : 9518
% 364.68/46.99 # Unit Clause-clause subsumption calls : 60873
% 364.68/46.99 # Rewrite failures with RHS unbound : 5096
% 364.68/46.99 # BW rewrite match attempts : 30102
% 364.68/46.99 # BW rewrite match successes : 647
% 364.68/46.99 # Condensation attempts : 0
% 364.68/46.99 # Condensation successes : 0
% 364.68/46.99 # Termbank termtop insertions : 74270234
% 364.68/46.99
% 364.68/46.99 # -------------------------------------------------
% 364.68/46.99 # User time : 44.088 s
% 364.68/46.99 # System time : 1.310 s
% 364.68/46.99 # Total time : 45.398 s
% 364.68/46.99 # Maximum resident set size: 3152 pages
% 364.68/46.99
% 364.68/46.99 # -------------------------------------------------
% 364.68/46.99 # User time : 177.287 s
% 364.68/46.99 # System time : 4.854 s
% 364.68/46.99 # Total time : 182.141 s
% 364.68/46.99 # Maximum resident set size: 2256 pages
% 364.68/46.99 % E---3.1 exiting
% 364.68/46.99 % E---3.1 exiting
%------------------------------------------------------------------------------