TSTP Solution File: SWW317+1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SWW317+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n009.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 06:42:15 EDT 2024
% Result : ContradictoryAxioms 3.64s 1.61s
% Output : CNFRefutation 3.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 17 unt; 0 def)
% Number of atoms : 58 ( 6 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 51 ( 24 ~; 18 |; 4 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-3 aty)
% Number of variables : 58 ( 4 sgn 35 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_less__irrefl__nat,axiom,
! [X89] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X89),X89)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__irrefl__nat) ).
fof(fact_less__Suc__eq,axiom,
! [X79,X124] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X124),hAPP(c_Nat_OSuc,X79)))
<=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X124),X79))
| X124 = X79 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__Suc__eq) ).
fof(fact_finite__nat__set__iff__bounded,axiom,
! [X145] :
( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X145))
<=> ? [X146] :
! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X3),X145))
=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3),X146)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_finite__nat__set__iff__bounded) ).
fof(fact_rangeI,axiom,
! [X25,X21,X2,X5] : hBOOL(hAPP(hAPP(c_member(X5),hAPP(X2,X21)),hAPP(c_Set_Oimage(X25,X5,X2),c_Orderings_Otop__class_Otop(tc_fun(X25,tc_HOL_Obool))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_rangeI) ).
fof(fact_finite__imageI,axiom,
! [X102,X25,X137,X5] :
( hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X137))
=> hBOOL(hAPP(c_Finite__Set_Ofinite(X25),hAPP(c_Set_Oimage(X5,X25,X102),X137))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_finite__imageI) ).
fof(fact_finite__set,axiom,
! [X259,X5] : hBOOL(hAPP(c_Finite__Set_Ofinite(X5),hAPP(c_List_Oset(X5),X259))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_finite__set) ).
fof(fact_UNIV__enum,axiom,
! [X5] :
( class_Enum_Oenum(X5)
=> c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool)) = hAPP(c_List_Oset(X5),c_Enum_Oenum__class_Oenum(X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_UNIV__enum) ).
fof(arity_HOL__Obool__Enum_Oenum,axiom,
class_Enum_Oenum(tc_HOL_Obool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_HOL__Obool__Enum_Oenum) ).
fof(c_0_8,plain,
! [X89] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X89),X89)),
inference(fof_simplification,[status(thm)],[fact_less__irrefl__nat]) ).
fof(c_0_9,plain,
! [X810] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X810),X810)),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_8])]) ).
fof(c_0_10,plain,
! [X2130,X2131] :
( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2131),hAPP(c_Nat_OSuc,X2130)))
| hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2131),X2130))
| X2131 = X2130 )
& ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2131),X2130))
| hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2131),hAPP(c_Nat_OSuc,X2130))) )
& ( X2131 != X2130
| hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2131),hAPP(c_Nat_OSuc,X2130))) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__Suc__eq])])])]) ).
cnf(c_0_11,plain,
~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X1)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,plain,
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X2)))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_13,plain,
! [X1354,X1356,X1357,X1358] :
( ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X1354))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X1356),X1354))
| hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1356),esk27_1(X1354))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),esk28_2(X1357,X1358)),X1357))
| hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X1357)) )
& ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk28_2(X1357,X1358)),X1358))
| hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X1357)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_finite__nat__set__iff__bounded])])])])])])]) ).
cnf(c_0_14,plain,
~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),X1)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),esk27_1(X1)))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X1))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_16,plain,
! [X2578,X2579,X2580,X2581] : hBOOL(hAPP(hAPP(c_member(X2581),hAPP(X2580,X2579)),hAPP(c_Set_Oimage(X2578,X2581,X2580),c_Orderings_Otop__class_Otop(tc_fun(X2578,tc_HOL_Obool))))),
inference(variable_rename,[status(thm)],[fact_rangeI]) ).
cnf(c_0_17,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Nat_OSuc,esk27_1(X1))),X1))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X1)) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,plain,
hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X3)),hAPP(c_Set_Oimage(X4,X1,X2),c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool))))),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_19,plain,
! [X2564,X2565,X2566,X2567] :
( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X2567),X2566))
| hBOOL(hAPP(c_Finite__Set_Ofinite(X2565),hAPP(c_Set_Oimage(X2567,X2565,X2564),X2566))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_finite__imageI])])]) ).
fof(c_0_20,plain,
! [X2287,X2288] : hBOOL(hAPP(c_Finite__Set_Ofinite(X2288),hAPP(c_List_Oset(X2288),X2287))),
inference(variable_rename,[status(thm)],[fact_finite__set]) ).
fof(c_0_21,plain,
! [X2309] :
( ~ class_Enum_Oenum(X2309)
| c_Orderings_Otop__class_Otop(tc_fun(X2309,tc_HOL_Obool)) = hAPP(c_List_Oset(X2309),c_Enum_Oenum__class_Oenum(X2309)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_UNIV__enum])])]) ).
cnf(c_0_22,plain,
~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_Oimage(X1,tc_Nat_Onat,c_Nat_OSuc),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))))),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,plain,
( hBOOL(hAPP(c_Finite__Set_Ofinite(X3),hAPP(c_Set_Oimage(X1,X3,X4),X2)))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,plain,
hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_List_Oset(X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
( c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)) = hAPP(c_List_Oset(X1),c_Enum_Oenum__class_Oenum(X1))
| ~ class_Enum_Oenum(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,plain,
( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))))
| ~ class_Enum_Oenum(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,plain,
class_Enum_Oenum(tc_HOL_Obool),
inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Enum_Oenum]) ).
cnf(c_0_29,plain,
~ class_Enum_Oenum(X1),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,plain,
$false,
inference(sr,[status(thm)],[c_0_28,c_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW317+1 : TPTP v8.2.0. Released v5.2.0.
% 0.12/0.14 % Command : run_E %s %d THM
% 0.14/0.37 % Computer : n009.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Sat May 18 20:09:08 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.23/0.49 Running first-order theorem proving
% 0.23/0.49 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/benchmark/theBenchmark.p
% 3.64/1.61 # Version: 3.1.0
% 3.64/1.61 # Preprocessing class: FMLMSMSMSSSNFFN.
% 3.64/1.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.64/1.61 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.64/1.61 # Starting new_bool_3 with 300s (1) cores
% 3.64/1.61 # Starting new_bool_1 with 300s (1) cores
% 3.64/1.61 # Starting sh5l with 300s (1) cores
% 3.64/1.61 # new_bool_1 with pid 9509 completed with status 0
% 3.64/1.61 # Result found by new_bool_1
% 3.64/1.61 # Preprocessing class: FMLMSMSMSSSNFFN.
% 3.64/1.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.64/1.61 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.64/1.61 # Starting new_bool_3 with 300s (1) cores
% 3.64/1.61 # Starting new_bool_1 with 300s (1) cores
% 3.64/1.61 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.64/1.61 # Search class: FGHSM-SSLM32-DFFFFFNN
% 3.64/1.61 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 3.64/1.61 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 23s (1) cores
% 3.64/1.61 # G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with pid 9512 completed with status 0
% 3.64/1.61 # Result found by G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 3.64/1.61 # Preprocessing class: FMLMSMSMSSSNFFN.
% 3.64/1.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.64/1.61 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.64/1.61 # Starting new_bool_3 with 300s (1) cores
% 3.64/1.61 # Starting new_bool_1 with 300s (1) cores
% 3.64/1.61 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.64/1.61 # Search class: FGHSM-SSLM32-DFFFFFNN
% 3.64/1.61 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 3.64/1.61 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 23s (1) cores
% 3.64/1.61 # Preprocessing time : 0.021 s
% 3.64/1.61 # Presaturation interreduction done
% 3.64/1.61
% 3.64/1.61 # Proof found!
% 3.64/1.61 # SZS status ContradictoryAxioms
% 3.64/1.61 # SZS output start CNFRefutation
% See solution above
% 3.64/1.61 # Parsed axioms : 5242
% 3.64/1.61 # Removed by relevancy pruning/SinE : 4515
% 3.64/1.61 # Initial clauses : 1104
% 3.64/1.61 # Removed in clause preprocessing : 54
% 3.64/1.61 # Initial clauses in saturation : 1050
% 3.64/1.61 # Processed clauses : 2895
% 3.64/1.61 # ...of these trivial : 48
% 3.64/1.61 # ...subsumed : 947
% 3.64/1.61 # ...remaining for further processing : 1900
% 3.64/1.61 # Other redundant clauses eliminated : 253
% 3.64/1.61 # Clauses deleted for lack of memory : 0
% 3.64/1.61 # Backward-subsumed : 58
% 3.64/1.61 # Backward-rewritten : 58
% 3.64/1.61 # Generated clauses : 18947
% 3.64/1.61 # ...of the previous two non-redundant : 16862
% 3.64/1.61 # ...aggressively subsumed : 0
% 3.64/1.61 # Contextual simplify-reflections : 6
% 3.64/1.61 # Paramodulations : 18658
% 3.64/1.61 # Factorizations : 8
% 3.64/1.61 # NegExts : 0
% 3.64/1.61 # Equation resolutions : 291
% 3.64/1.61 # Disequality decompositions : 0
% 3.64/1.61 # Total rewrite steps : 6853
% 3.64/1.61 # ...of those cached : 4960
% 3.64/1.61 # Propositional unsat checks : 0
% 3.64/1.61 # Propositional check models : 0
% 3.64/1.61 # Propositional check unsatisfiable : 0
% 3.64/1.61 # Propositional clauses : 0
% 3.64/1.61 # Propositional clauses after purity: 0
% 3.64/1.61 # Propositional unsat core size : 0
% 3.64/1.61 # Propositional preprocessing time : 0.000
% 3.64/1.61 # Propositional encoding time : 0.000
% 3.64/1.61 # Propositional solver time : 0.000
% 3.64/1.61 # Success case prop preproc time : 0.000
% 3.64/1.61 # Success case prop encoding time : 0.000
% 3.64/1.61 # Success case prop solver time : 0.000
% 3.64/1.61 # Current number of processed clauses : 959
% 3.64/1.61 # Positive orientable unit clauses : 201
% 3.64/1.61 # Positive unorientable unit clauses: 18
% 3.64/1.61 # Negative unit clauses : 103
% 3.64/1.61 # Non-unit-clauses : 637
% 3.64/1.61 # Current number of unprocessed clauses: 15692
% 3.64/1.61 # ...number of literals in the above : 41822
% 3.64/1.61 # Current number of archived formulas : 0
% 3.64/1.61 # Current number of archived clauses : 856
% 3.64/1.61 # Clause-clause subsumption calls (NU) : 179588
% 3.64/1.61 # Rec. Clause-clause subsumption calls : 100593
% 3.64/1.61 # Non-unit clause-clause subsumptions : 379
% 3.64/1.61 # Unit Clause-clause subsumption calls : 11462
% 3.64/1.61 # Rewrite failures with RHS unbound : 0
% 3.64/1.61 # BW rewrite match attempts : 5825
% 3.64/1.61 # BW rewrite match successes : 224
% 3.64/1.61 # Condensation attempts : 0
% 3.64/1.61 # Condensation successes : 0
% 3.64/1.61 # Termbank termtop insertions : 838053
% 3.64/1.61 # Search garbage collected termcells : 57368
% 3.64/1.61
% 3.64/1.61 # -------------------------------------------------
% 3.64/1.61 # User time : 0.766 s
% 3.64/1.61 # System time : 0.042 s
% 3.64/1.61 # Total time : 0.808 s
% 3.64/1.61 # Maximum resident set size: 11848 pages
% 3.64/1.61
% 3.64/1.61 # -------------------------------------------------
% 3.64/1.61 # User time : 1.036 s
% 3.64/1.61 # System time : 0.054 s
% 3.64/1.61 # Total time : 1.091 s
% 3.64/1.61 # Maximum resident set size: 9508 pages
% 3.64/1.61 % E---3.1 exiting
% 3.64/1.61 % E exiting
%------------------------------------------------------------------------------