TSTP Solution File: SCT159+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SCT159+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n008.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 21:23:29 EDT 2022
% Result : Theorem 0.28s 1.47s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 11 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 28 ( 14 ~; 9 |; 2 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-4 aty)
% Number of variables : 39 ( 3 sgn 24 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_Suc__n__not__le__n,axiom,
! [X25] : ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X25),X25),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_Suc__n__not__le__n) ).
fof(fact_finite__nat__set__iff__bounded__le,axiom,
! [X38] :
( c_Finite__Set_Ofinite(tc_Nat_Onat,X38)
<=> ? [X30] :
! [X3] :
( c_member(tc_Nat_Onat,X3,X38)
=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X30) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_finite__nat__set__iff__bounded__le) ).
fof(fact_rangeI,axiom,
! [X5,X8,X2,X6] : c_member(X6,hAPP(X2,X8),c_Set_Oimage(X5,X6,X2,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool)))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_rangeI) ).
fof(fact_finite__imageI,axiom,
! [X11,X5,X12,X6] :
( c_Finite__Set_Ofinite(X6,X12)
=> c_Finite__Set_Ofinite(X5,c_Set_Oimage(X6,X5,X11,X12)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_finite__imageI) ).
fof(fact_finite__indi,axiom,
c_Finite__Set_Ofinite(tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_finite__indi) ).
fof(c_0_5,plain,
! [X26] : ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X26),X26),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_Suc__n__not__le__n])]) ).
fof(c_0_6,plain,
! [X39,X41,X39,X42] :
( ( ~ c_Finite__Set_Ofinite(tc_Nat_Onat,X39)
| ~ c_member(tc_Nat_Onat,X41,X39)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X41,esk14_1(X39)) )
& ( c_member(tc_Nat_Onat,esk15_2(X39,X42),X39)
| c_Finite__Set_Ofinite(tc_Nat_Onat,X39) )
& ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk15_2(X39,X42),X42)
| c_Finite__Set_Ofinite(tc_Nat_Onat,X39) ) ),
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__le])])])])])])]) ).
cnf(c_0_7,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X1),X1),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,esk14_1(X2))
| ~ c_member(tc_Nat_Onat,X1,X2)
| ~ c_Finite__Set_Ofinite(tc_Nat_Onat,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_9,plain,
! [X9,X10,X11,X12] : c_member(X12,hAPP(X11,X10),c_Set_Oimage(X9,X12,X11,c_Orderings_Otop__class_Otop(tc_fun(X9,tc_HOL_Obool)))),
inference(variable_rename,[status(thm)],[fact_rangeI]) ).
cnf(c_0_10,plain,
( ~ c_Finite__Set_Ofinite(tc_Nat_Onat,X1)
| ~ c_member(tc_Nat_Onat,hAPP(c_Nat_OSuc,esk14_1(X1)),X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,plain,
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_9]) ).
fof(c_0_12,plain,
! [X13,X14,X15,X16] :
( ~ c_Finite__Set_Ofinite(X16,X15)
| c_Finite__Set_Ofinite(X14,c_Set_Oimage(X16,X14,X13,X15)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_finite__imageI])]) ).
cnf(c_0_13,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_10,c_0_11]) ).
cnf(c_0_14,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_12]) ).
cnf(c_0_15,plain,
c_Finite__Set_Ofinite(tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))),
inference(split_conjunct,[status(thm)],[fact_finite__indi]) ).
cnf(c_0_16,plain,
~ c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,plain,
$false,
inference(sr,[status(thm)],[c_0_15,c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SCT159+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.14 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jul 1 21:14:08 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.28/1.47 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.28/1.47 # Preprocessing time : 0.061 s
% 0.28/1.47
% 0.28/1.47 # Proof found!
% 0.28/1.47 # SZS status Theorem
% 0.28/1.47 # SZS output start CNFRefutation
% See solution above
% 0.28/1.47 # Proof object total steps : 18
% 0.28/1.47 # Proof object clause steps : 9
% 0.28/1.47 # Proof object formula steps : 9
% 0.28/1.47 # Proof object conjectures : 0
% 0.28/1.47 # Proof object clause conjectures : 0
% 0.28/1.47 # Proof object formula conjectures : 0
% 0.28/1.47 # Proof object initial clauses used : 5
% 0.28/1.47 # Proof object initial formulas used : 5
% 0.28/1.47 # Proof object generating inferences : 3
% 0.28/1.47 # Proof object simplifying inferences : 1
% 0.28/1.47 # Training examples: 0 positive, 0 negative
% 0.28/1.47 # Parsed axioms : 533
% 0.28/1.47 # Removed by relevancy pruning/SinE : 0
% 0.28/1.47 # Initial clauses : 777
% 0.28/1.47 # Removed in clause preprocessing : 42
% 0.28/1.47 # Initial clauses in saturation : 735
% 0.28/1.47 # Processed clauses : 2351
% 0.28/1.47 # ...of these trivial : 38
% 0.28/1.47 # ...subsumed : 1358
% 0.28/1.47 # ...remaining for further processing : 955
% 0.28/1.47 # Other redundant clauses eliminated : 100
% 0.28/1.47 # Clauses deleted for lack of memory : 0
% 0.28/1.47 # Backward-subsumed : 19
% 0.28/1.47 # Backward-rewritten : 6
% 0.28/1.47 # Generated clauses : 12429
% 0.28/1.47 # ...of the previous two non-trivial : 11174
% 0.28/1.47 # Contextual simplify-reflections : 197
% 0.28/1.47 # Paramodulations : 12279
% 0.28/1.47 # Factorizations : 6
% 0.28/1.47 # Equation resolutions : 148
% 0.28/1.47 # Current number of processed clauses : 885
% 0.28/1.47 # Positive orientable unit clauses : 97
% 0.28/1.47 # Positive unorientable unit clauses: 5
% 0.28/1.47 # Negative unit clauses : 114
% 0.28/1.47 # Non-unit-clauses : 669
% 0.28/1.47 # Current number of unprocessed clauses: 9110
% 0.28/1.47 # ...number of literals in the above : 27422
% 0.28/1.47 # Current number of archived formulas : 0
% 0.28/1.47 # Current number of archived clauses : 26
% 0.28/1.47 # Clause-clause subsumption calls (NU) : 68659
% 0.28/1.47 # Rec. Clause-clause subsumption calls : 48125
% 0.28/1.47 # Non-unit clause-clause subsumptions : 790
% 0.28/1.47 # Unit Clause-clause subsumption calls : 2629
% 0.28/1.47 # Rewrite failures with RHS unbound : 0
% 0.28/1.47 # BW rewrite match attempts : 1051
% 0.28/1.47 # BW rewrite match successes : 40
% 0.28/1.47 # Condensation attempts : 0
% 0.28/1.47 # Condensation successes : 0
% 0.28/1.47 # Termbank termtop insertions : 246475
% 0.28/1.47
% 0.28/1.47 # -------------------------------------------------
% 0.28/1.47 # User time : 0.271 s
% 0.28/1.47 # System time : 0.011 s
% 0.28/1.47 # Total time : 0.282 s
% 0.28/1.47 # Maximum resident set size: 15324 pages
% 0.28/23.46 eprover: CPU time limit exceeded, terminating
% 0.28/23.47 eprover: CPU time limit exceeded, terminating
% 0.28/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.48 eprover: No such file or directory
% 0.28/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.49 eprover: No such file or directory
% 0.28/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.49 eprover: No such file or directory
% 0.28/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.49 eprover: No such file or directory
% 0.28/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.49 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.51 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.51 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.51 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.51 eprover: No such file or directory
% 0.28/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.52 eprover: No such file or directory
% 0.28/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.52 eprover: No such file or directory
% 0.28/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.52 eprover: No such file or directory
% 0.28/23.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.53 eprover: No such file or directory
% 0.28/23.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.53 eprover: No such file or directory
% 0.28/23.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.53 eprover: No such file or directory
% 0.28/23.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.53 eprover: No such file or directory
% 0.28/23.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.53 eprover: No such file or directory
% 0.28/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.54 eprover: No such file or directory
%------------------------------------------------------------------------------