TSTP Solution File: SCT166+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SCT166+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n012.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 : 600s
% DateTime : Mon Jul 18 21:23:32 EDT 2022
% Result : Theorem 0.29s 2.47s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 15 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 44 ( 21 ~; 15 |; 2 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-4 aty)
% Number of variables : 56 ( 5 sgn 34 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_order__less__not__sym,axiom,
! [X20,X21,X10] :
( class_Orderings_Opreorder(X10)
=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X10),X21),X20))
=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X10),X20),X21)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_order__less__not__sym) ).
fof(fact_lessI,axiom,
! [X46] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X46),hAPP(c_Nat_OSuc,X46))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_lessI) ).
fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_Nat_Onat),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',arity_Nat__Onat__Orderings_Opreorder) ).
fof(fact_finite__nat__set__iff__bounded,axiom,
! [X56] :
( c_Finite__Set_Ofinite(tc_Nat_Onat,X56)
<=> ? [X17] :
! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X3),X56))
=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3),X17)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_finite__nat__set__iff__bounded) ).
fof(fact_rangeI,axiom,
! [X14,X8,X2,X10] : hBOOL(hAPP(hAPP(c_member(X10),hAPP(X2,X8)),c_Set_Oimage(X14,X10,X2,c_Orderings_Otop__class_Otop(tc_fun(X14,tc_HOL_Obool))))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_rangeI) ).
fof(fact_finite__imageI,axiom,
! [X65,X14,X40,X10] :
( c_Finite__Set_Ofinite(X10,X40)
=> c_Finite__Set_Ofinite(X14,c_Set_Oimage(X10,X14,X65,X40)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_finite__imageI) ).
fof(fact_finite,axiom,
! [X12,X10] :
( class_Finite__Set_Ofinite(X10)
=> c_Finite__Set_Ofinite(X10,X12) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_finite) ).
fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',arity_Product____Type__Ounit__Finite__Set_Ofinite) ).
fof(c_0_8,plain,
! [X22,X23,X24] :
( ~ class_Orderings_Opreorder(X24)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X24),X23),X22))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X24),X22),X23)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_order__less__not__sym])])]) ).
fof(c_0_9,plain,
! [X47] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X47),hAPP(c_Nat_OSuc,X47))),
inference(variable_rename,[status(thm)],[fact_lessI]) ).
cnf(c_0_10,plain,
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X2))
| ~ class_Orderings_Opreorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,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_9]) ).
cnf(c_0_12,plain,
class_Orderings_Opreorder(tc_Nat_Onat),
inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Orderings_Opreorder]) ).
fof(c_0_13,plain,
! [X57,X59,X57,X60] :
( ( ~ c_Finite__Set_Ofinite(tc_Nat_Onat,X57)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X59),X57))
| hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X59),esk41_1(X57))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),esk42_2(X57,X60)),X57))
| c_Finite__Set_Ofinite(tc_Nat_Onat,X57) )
& ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk42_2(X57,X60)),X60))
| c_Finite__Set_Ofinite(tc_Nat_Onat,X57) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).
cnf(c_0_15,plain,
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),esk41_1(X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X1),X2))
| ~ c_Finite__Set_Ofinite(tc_Nat_Onat,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_16,plain,
! [X15,X16,X17,X18] : hBOOL(hAPP(hAPP(c_member(X18),hAPP(X17,X16)),c_Set_Oimage(X15,X18,X17,c_Orderings_Otop__class_Otop(tc_fun(X15,tc_HOL_Obool))))),
inference(variable_rename,[status(thm)],[fact_rangeI]) ).
cnf(c_0_17,plain,
( ~ c_Finite__Set_Ofinite(tc_Nat_Onat,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Nat_OSuc,esk41_1(X1))),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)),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,
! [X66,X67,X68,X69] :
( ~ c_Finite__Set_Ofinite(X69,X68)
| c_Finite__Set_Ofinite(X67,c_Set_Oimage(X69,X67,X66,X68)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_finite__imageI])]) ).
fof(c_0_20,plain,
! [X13,X14] :
( ~ class_Finite__Set_Ofinite(X14)
| c_Finite__Set_Ofinite(X14,X13) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_finite])]) ).
cnf(c_0_21,plain,
~ c_Finite__Set_Ofinite(tc_Nat_Onat,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_22,plain,
( c_Finite__Set_Ofinite(X1,c_Set_Oimage(X2,X1,X3,X4))
| ~ c_Finite__Set_Ofinite(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ class_Finite__Set_Ofinite(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_24,plain,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
inference(split_conjunct,[status(thm)],[arity_Product____Type__Ounit__Finite__Set_Ofinite]) ).
cnf(c_0_25,plain,
~ c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,plain,
c_Finite__Set_Ofinite(tc_Product__Type_Ounit,X1),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,plain,
$false,
inference(spm,[status(thm)],[c_0_25,c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SCT166+1 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 2 02:09:47 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.29/2.47 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.29/2.47 # Preprocessing time : 0.480 s
% 0.29/2.47
% 0.29/2.47 # Proof found!
% 0.29/2.47 # SZS status Theorem
% 0.29/2.47 # SZS output start CNFRefutation
% See solution above
% 0.29/2.47 # Proof object total steps : 28
% 0.29/2.47 # Proof object clause steps : 14
% 0.29/2.47 # Proof object formula steps : 14
% 0.29/2.47 # Proof object conjectures : 0
% 0.29/2.47 # Proof object clause conjectures : 0
% 0.29/2.47 # Proof object formula conjectures : 0
% 0.29/2.47 # Proof object initial clauses used : 8
% 0.29/2.47 # Proof object initial formulas used : 8
% 0.29/2.47 # Proof object generating inferences : 6
% 0.29/2.47 # Proof object simplifying inferences : 2
% 0.29/2.47 # Training examples: 0 positive, 0 negative
% 0.29/2.47 # Parsed axioms : 533
% 0.29/2.47 # Removed by relevancy pruning/SinE : 0
% 0.29/2.47 # Initial clauses : 879
% 0.29/2.47 # Removed in clause preprocessing : 88
% 0.29/2.47 # Initial clauses in saturation : 791
% 0.29/2.47 # Processed clauses : 6043
% 0.29/2.47 # ...of these trivial : 128
% 0.29/2.47 # ...subsumed : 3834
% 0.29/2.47 # ...remaining for further processing : 2081
% 0.29/2.47 # Other redundant clauses eliminated : 224
% 0.29/2.47 # Clauses deleted for lack of memory : 0
% 0.29/2.47 # Backward-subsumed : 76
% 0.29/2.47 # Backward-rewritten : 24
% 0.29/2.47 # Generated clauses : 42933
% 0.29/2.47 # ...of the previous two non-trivial : 40264
% 0.29/2.47 # Contextual simplify-reflections : 1456
% 0.29/2.47 # Paramodulations : 42623
% 0.29/2.47 # Factorizations : 19
% 0.29/2.47 # Equation resolutions : 297
% 0.29/2.47 # Current number of processed clauses : 1917
% 0.29/2.47 # Positive orientable unit clauses : 192
% 0.29/2.47 # Positive unorientable unit clauses: 7
% 0.29/2.47 # Negative unit clauses : 201
% 0.29/2.47 # Non-unit-clauses : 1517
% 0.29/2.47 # Current number of unprocessed clauses: 33875
% 0.29/2.47 # ...number of literals in the above : 127295
% 0.29/2.47 # Current number of archived formulas : 0
% 0.29/2.47 # Current number of archived clauses : 100
% 0.29/2.47 # Clause-clause subsumption calls (NU) : 686008
% 0.29/2.47 # Rec. Clause-clause subsumption calls : 395705
% 0.29/2.47 # Non-unit clause-clause subsumptions : 3617
% 0.29/2.47 # Unit Clause-clause subsumption calls : 18632
% 0.29/2.47 # Rewrite failures with RHS unbound : 24
% 0.29/2.47 # BW rewrite match attempts : 4797
% 0.29/2.47 # BW rewrite match successes : 49
% 0.29/2.47 # Condensation attempts : 0
% 0.29/2.47 # Condensation successes : 0
% 0.29/2.47 # Termbank termtop insertions : 1326214
% 0.29/2.47
% 0.29/2.47 # -------------------------------------------------
% 0.29/2.47 # User time : 1.518 s
% 0.29/2.47 # System time : 0.021 s
% 0.29/2.47 # Total time : 1.539 s
% 0.29/2.47 # Maximum resident set size: 46676 pages
% 0.29/23.46 eprover: CPU time limit exceeded, terminating
% 0.29/23.46 eprover: CPU time limit exceeded, terminating
% 0.29/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.47 eprover: No such file or directory
% 0.29/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.47 eprover: No such file or directory
% 0.29/23.47 eprover: CPU time limit exceeded, terminating
% 0.29/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.47 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.50 eprover: No such file or directory
% 0.29/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.50 eprover: No such file or directory
% 0.29/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.50 eprover: No such file or directory
% 0.29/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.50 eprover: No such file or directory
% 0.29/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.51 eprover: No such file or directory
% 0.29/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.51 eprover: No such file or directory
% 0.29/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.51 eprover: No such file or directory
% 0.29/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.51 eprover: No such file or directory
% 0.29/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.51 eprover: No such file or directory
% 0.29/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.51 eprover: No such file or directory
% 0.29/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.51 eprover: No such file or directory
% 0.29/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.52 eprover: No such file or directory
% 0.29/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.52 eprover: No such file or directory
% 0.29/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.52 eprover: No such file or directory
% 0.29/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.52 eprover: No such file or directory
% 0.29/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.52 eprover: No such file or directory
% 0.29/23.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.53 eprover: No such file or directory
% 0.29/23.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.53 eprover: No such file or directory
% 0.29/23.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.54 eprover: No such file or directory
%------------------------------------------------------------------------------