%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWW330+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:11:58 PM UTC 2026
% Result : ContradictoryAxioms 87.66s 19.83s
% Output : CNFRefutation 87.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 15 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 47 ( 22 ~; 15 |; 2 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 59 ( 4 sgn 37 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_order__less__not__sym,axiom,
! [X30,X31,X28] :
( class_Orderings_Opreorder(X28)
=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X28),X31),X30))
=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X28),X30),X31)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__less__not__sym) ).
fof(fact_lessI,axiom,
! [X27] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X27),hAPP(c_Nat_OSuc,X27))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_lessI) ).
fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_Nat_Onat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Orderings_Opreorder) ).
fof(fact_finite__nat__set__iff__bounded,axiom,
! [X126] :
( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X126))
<=> ? [X138] :
! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X3),X126))
=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3),X138)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_finite__nat__set__iff__bounded) ).
fof(fact_rangeI,axiom,
! [X22,X19,X2,X7] : hBOOL(hAPP(hAPP(c_member(X7),hAPP(X2,X19)),hAPP(c_Set_Oimage(X22,X7,X2),c_Orderings_Otop__class_Otop(tc_fun(X22,tc_HOL_Obool))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rangeI) ).
fof(fact_finite__imageI,axiom,
! [X106,X22,X124,X7] :
( hBOOL(hAPP(c_Finite__Set_Ofinite(X7),X124))
=> hBOOL(hAPP(c_Finite__Set_Ofinite(X22),hAPP(c_Set_Oimage(X7,X22,X106),X124))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_finite__imageI) ).
fof(fact_finite__code,axiom,
! [X21,X7] :
( class_Finite__Set_Ofinite(X7)
=> hBOOL(hAPP(c_Finite__Set_Ofinite(X7),X21)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_finite__code) ).
fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Product____Type__Ounit__Finite__Set_Ofinite) ).
fof(c_0_8,plain,
! [X30,X31,X28] :
( class_Orderings_Opreorder(X28)
=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X28),X31),X30))
=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X28),X30),X31)) ) ),
inference(fof_simplification,[status(thm)],[fact_order__less__not__sym]) ).
fof(c_0_9,plain,
! [X2426,X2427,X2428] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X2428),X2426),X2427))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X2428),X2427),X2426))
| ~ class_Orderings_Opreorder(X2428) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_10,plain,
! [X2380] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2380),hAPP(c_Nat_OSuc,X2380))),
inference(variable_rename,[status(thm)],[fact_lessI]) ).
cnf(c_0_11,plain,
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X2))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))
| ~ class_Orderings_Opreorder(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,X1))),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,plain,
class_Orderings_Opreorder(tc_Nat_Onat),
inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Orderings_Opreorder]) ).
fof(c_0_14,plain,
! [X4529,X4531,X4532,X4533] :
( ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X4532))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk86_2(X4532,X4533)),X4533)) )
& ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X4532))
| hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),esk86_2(X4532,X4533)),X4532)) )
& ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4531),esk85_1(X4529)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X4531),X4529))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X4529)) ) ),
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_15,plain,
~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).
cnf(c_0_16,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X1))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X1))
| hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),esk85_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_17,plain,
! [X6703,X6704,X6705,X6706] : hBOOL(hAPP(hAPP(c_member(X6706),hAPP(X6705,X6704)),hAPP(c_Set_Oimage(X6703,X6706,X6705),c_Orderings_Otop__class_Otop(tc_fun(X6703,tc_HOL_Obool))))),
inference(variable_rename,[status(thm)],[fact_rangeI]) ).
cnf(c_0_18,plain,
( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X1))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Nat_OSuc,esk85_1(X1))),X1)) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,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_17]) ).
fof(c_0_20,plain,
! [X1496,X1497,X1498,X1499] :
( hBOOL(hAPP(c_Finite__Set_Ofinite(X1497),hAPP(c_Set_Oimage(X1499,X1497,X1496),X1498)))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1499),X1498)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_finite__imageI])])]) ).
fof(c_0_21,plain,
! [X1530,X1531] :
( hBOOL(hAPP(c_Finite__Set_Ofinite(X1531),X1530))
| ~ class_Finite__Set_Ofinite(X1531) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_finite__code])])]) ).
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_18,c_0_19]) ).
cnf(c_0_23,plain,
( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))
| hBOOL(hAPP(c_Finite__Set_Ofinite(X3),hAPP(c_Set_Oimage(X1,X3,X4),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_24,plain,
( ~ class_Finite__Set_Ofinite(X1)
| hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,plain,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
inference(split_conjunct,[status(thm)],[arity_Product____Type__Ounit__Finite__Set_Ofinite]) ).
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(tc_Product__Type_Ounit),X1)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,plain,
$false,
inference(spm,[status(thm)],[c_0_26,c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW330+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/5.41 % Computer : n008.cluster.edu
% 0.12/5.41 % Model : x86_64 x86_64
% 0.12/5.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.41 % Memory : 8046.5625MB
% 0.12/5.41 % OS : Linux 6.8.0-71-generic
% 0.12/5.41 % CPULimit : 300
% 0.12/5.41 % WCLimit : 300
% 0.12/5.41 % DateTime : Mon Sep 21 09:48:15 UTC 2026
% 0.12/5.41 % CPUTime :
% 0.12/5.41 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/5.47 Running first-order theorem proving
% 0.12/5.47 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/benchmark/theBenchmark.p
% 87.66/19.83 % Version: 3.5.1
% 87.66/19.83 % Preprocessing class: FMLMSMSMSSSNFFN.
% 87.66/19.83 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 87.66/19.83 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 87.66/19.83 % Starting new_bool_3 with 300s (1) cores
% 87.66/19.83 % Starting new_bool_1 with 300s (1) cores
% 87.66/19.83 % Starting sh5l with 300s (1) cores
% 87.66/19.83 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 706081 completed with status 0
% 87.66/19.83 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 87.66/19.83 % Preprocessing class: FMLMSMSMSSSNFFN.
% 87.66/19.83 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 87.66/19.83 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 87.66/19.83 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 87.66/19.83 % No SInE strategy applied
% 87.66/19.83 % Search class: FGHSM-SMLM33-DFFFFFNN
% 87.66/19.83 % Scheduled 7 strats onto 5 cores with 1499 seconds (1499 total)
% 87.66/19.83 % Starting SubtermCWHack with 135s (1) cores
% 87.66/19.83 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 150s (1) cores
% 87.66/19.83 % Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 135s (1) cores
% 87.66/19.83 % Starting SAT001_CA_MinMin_p005000_rr with 135s (1) cores
% 87.66/19.83 % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 135s (1) cores
% 87.66/19.83 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 706089 completed with status 0
% 87.66/19.83 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 87.66/19.83 % Preprocessing class: FMLMSMSMSSSNFFN.
% 87.66/19.83 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 87.66/19.83 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 87.66/19.83 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 87.66/19.83 % No SInE strategy applied
% 87.66/19.83 % Search class: FGHSM-SMLM33-DFFFFFNN
% 87.66/19.83 % Scheduled 7 strats onto 5 cores with 1499 seconds (1499 total)
% 87.66/19.83 % Starting SubtermCWHack with 135s (1) cores
% 87.66/19.83 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 150s (1) cores
% 87.66/19.83 % Preprocessing time : 0.333 s
% 87.66/19.83 % Presaturation interreduction done
% 87.66/19.83
% 87.66/19.83 % Proof found!
% 87.66/19.83 % SZS status ContradictoryAxioms
% 87.66/19.83 % SZS output start CNFRefutation
% See solution above
% 87.66/19.83 % Parsed axioms : 5225
% 87.66/19.83 % Removed by relevancy pruning/SinE : 0
% 87.66/19.83 % Initial clauses : 7588
% 87.66/19.83 % Removed in clause preprocessing : 236
% 87.66/19.83 % Initial clauses in saturation : 7352
% 87.66/19.83 % Processed clauses : 12093
% 87.66/19.83 % ...of these trivial : 312
% 87.66/19.83 % ...subsumed : 1851
% 87.66/19.83 % ...remaining for further processing : 9930
% 87.66/19.83 % Other redundant clauses eliminated : 908
% 87.66/19.83 % Clauses deleted for lack of memory : 0
% 87.66/19.83 % Backward-subsumed : 41
% 87.66/19.83 % Backward-rewritten : 245
% 87.66/19.83 % Generated clauses : 107595
% 87.66/19.83 % ...of the previous two non-redundant : 100532
% 87.66/19.83 % ...aggressively subsumed : 0
% 87.66/19.83 % Contextual simplify-reflections : 25
% 87.66/19.83 % Paramodulations : 106689
% 87.66/19.83 % Factorizations : 8
% 87.66/19.83 % NegExts : 0
% 87.66/19.83 % Equation resolutions : 963
% 87.66/19.83 % Disequality decompositions : 0
% 87.66/19.83 % Total rewrite steps : 30631
% 87.66/19.83 % ...of those cached : 23293
% 87.66/19.83 % Propositional unsat checks : 2
% 87.66/19.83 % Propositional check models : 2
% 87.66/19.83 % Propositional check unsatisfiable : 0
% 87.66/19.83 % Propositional clauses : 0
% 87.66/19.83 % Propositional clauses after purity: 0
% 87.66/19.83 % Propositional unsat core size : 0
% 87.66/19.83 % Propositional preprocessing time : 0.000
% 87.66/19.83 % Propositional encoding time : 0.150
% 87.66/19.83 % Propositional solver time : 0.051
% 87.66/19.83 % Success case prop preproc time : 0.000
% 87.66/19.83 % Success case prop encoding time : 0.000
% 87.66/19.83 % Success case prop solver time : 0.000
% 87.66/19.83 % Current number of processed clauses : 3208
% 87.66/19.83 % Positive orientable unit clauses : 1039
% 87.66/19.83 % Positive unorientable unit clauses: 15
% 87.66/19.83 % Negative unit clauses : 176
% 87.66/19.83 % Non-unit-clauses : 1978
% 87.66/19.83 % Current number of unprocessed clauses: 94437
% 87.66/19.83 % ...number of literals in the above : 272804
% 87.66/19.83 % Current number of archived formulas : 0
% 87.66/19.83 % Current number of archived clauses : 6269
% 87.66/19.83 % Clause-clause subsumption calls (NU) : 4516733
% 87.66/19.83 % Rec. Clause-clause subsumption calls : 2194475
% 87.66/19.83 % Non-unit clause-clause subsumptions : 1281
% 87.66/19.83 % Unit Clause-clause subsumption calls : 48629
% 87.66/19.83 % Rewrite failures with RHS unbound : 0
% 87.66/19.83 % BW rewrite match attempts : 37463
% 87.66/19.83 % BW rewrite match successes : 618
% 87.66/19.83 % Condensation attempts : 0
% 87.66/19.83 % Condensation successes : 0
% 87.66/19.83 % Termbank termtop insertions : 3447894
% 87.66/19.83 % Search garbage collected termcells : 102645
% 87.66/19.83
% 87.66/19.83 % -------------------------------------------------
% 87.66/19.83 % User time : 12.999 s
% 87.66/19.83 % System time : 0.370 s
% 87.66/19.83 % Total time : 13.369 s
% 87.66/19.83 % Maximum resident set size: 42852 pages
% 87.66/19.83
% 87.66/19.83 % -------------------------------------------------
% 87.66/19.83 % User time : 58.415 s
% 87.66/19.83 % System time : 1.529 s
% 87.66/19.83 % Total time : 59.944 s
% 87.66/19.83 % Maximum resident set size: 12544 pages
% 87.66/19.83 % E exiting
%------------------------------------------------------------------------------