TSTP Solution File: SWW190+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW190+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n024.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 : Thu Jul 21 00:10:15 EDT 2022
% Result : Theorem 0.44s 24.61s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 29 ( 15 unt; 0 def)
% Number of atoms : 59 ( 6 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 49 ( 19 ~; 20 |; 4 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 54 ( 13 sgn 29 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
? [X4] : hBOOL(hAPP(c_Lubs_OisUb(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),c_Set_OCollect(tc_RealDef_Oreal,v_P)),X4)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',conj_0) ).
fof(fact_Collect__def,axiom,
! [X12,X7] : c_Set_OCollect(X7,X12) = X12,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_Collect__def) ).
fof(fact_isUb__UNIV__I,axiom,
! [X30,X10,X7] :
( class_Orderings_Oord(X7)
=> ( ! [X31] :
( c_member(X7,X31,X10)
=> c_Orderings_Oord__class_Oless__eq(X7,X31,X30) )
=> hBOOL(hAPP(c_Lubs_OisUb(X7,c_Orderings_Otop__class_Otop(tc_fun(X7,tc_HOL_Obool)),X10),X30)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_isUb__UNIV__I) ).
fof(arity_RealDef__Oreal__Orderings_Oord,axiom,
class_Orderings_Oord(tc_RealDef_Oreal),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',arity_RealDef__Oreal__Orderings_Oord) ).
fof(fact_mem__def,axiom,
! [X14,X6,X7] :
( c_member(X7,X6,X14)
<=> hBOOL(hAPP(X14,X6)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_mem__def) ).
fof(fact_bz,axiom,
? [X5] :
! [X3] :
( hBOOL(hAPP(v_P,X3))
=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X5) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_bz) ).
fof(fact_less__eq__real__def,axiom,
! [X19,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X6,X19)
<=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X6,X19)
| X6 = X19 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_less__eq__real__def) ).
fof(c_0_7,negated_conjecture,
~ ? [X4] : hBOOL(hAPP(c_Lubs_OisUb(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),c_Set_OCollect(tc_RealDef_Oreal,v_P)),X4)),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_8,negated_conjecture,
! [X5] : ~ hBOOL(hAPP(c_Lubs_OisUb(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),c_Set_OCollect(tc_RealDef_Oreal,v_P)),X5)),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])]) ).
fof(c_0_9,plain,
! [X13,X14] : c_Set_OCollect(X14,X13) = X13,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_10,plain,
! [X32,X33,X34] :
( ( c_member(X34,esk15_3(X32,X33,X34),X33)
| hBOOL(hAPP(c_Lubs_OisUb(X34,c_Orderings_Otop__class_Otop(tc_fun(X34,tc_HOL_Obool)),X33),X32))
| ~ class_Orderings_Oord(X34) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X34,esk15_3(X32,X33,X34),X32)
| hBOOL(hAPP(c_Lubs_OisUb(X34,c_Orderings_Otop__class_Otop(tc_fun(X34,tc_HOL_Obool)),X33),X32))
| ~ class_Orderings_Oord(X34) ) ),
inference(distribute,[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_isUb__UNIV__I])])])])])]) ).
cnf(c_0_11,negated_conjecture,
~ hBOOL(hAPP(c_Lubs_OisUb(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),c_Set_OCollect(tc_RealDef_Oreal,v_P)),X1)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
c_Set_OCollect(X1,X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( hBOOL(hAPP(c_Lubs_OisUb(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2),X3))
| c_member(X1,esk15_3(X3,X2,X1),X2)
| ~ class_Orderings_Oord(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
class_Orderings_Oord(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Oord]) ).
fof(c_0_15,plain,
! [X15,X16,X17,X15,X16,X17] :
( ( ~ c_member(X17,X16,X15)
| hBOOL(hAPP(X15,X16)) )
& ( ~ hBOOL(hAPP(X15,X16))
| c_member(X17,X16,X15) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mem__def])])])]) ).
cnf(c_0_16,negated_conjecture,
~ hBOOL(hAPP(c_Lubs_OisUb(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),v_P),X1)),
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,plain,
( c_member(tc_RealDef_Oreal,esk15_3(X1,X2,tc_RealDef_Oreal),X2)
| hBOOL(hAPP(c_Lubs_OisUb(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),X2),X1)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
fof(c_0_18,plain,
! [X7] :
( ~ hBOOL(hAPP(v_P,X7))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X7,esk21_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_bz])])]) ).
cnf(c_0_19,plain,
( hBOOL(hAPP(X1,X2))
| ~ c_member(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,negated_conjecture,
c_member(tc_RealDef_Oreal,esk15_3(X1,v_P,tc_RealDef_Oreal),v_P),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
fof(c_0_21,plain,
! [X20,X21,X20,X21] :
( ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X21,X20)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X21,X20)
| X21 = X20 )
& ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X21,X20)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X21,X20) )
& ( X21 != X20
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X21,X20) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__eq__real__def])])])])]) ).
cnf(c_0_22,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,esk21_0)
| ~ hBOOL(hAPP(v_P,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,negated_conjecture,
hBOOL(hAPP(v_P,esk15_3(X1,v_P,tc_RealDef_Oreal))),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,negated_conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,esk15_3(X1,v_P,tc_RealDef_Oreal),esk21_0),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,plain,
( hBOOL(hAPP(c_Lubs_OisUb(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2),X3))
| ~ class_Orderings_Oord(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,esk15_3(X3,X2,X1),X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_27,negated_conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,esk15_3(X1,v_P,tc_RealDef_Oreal),esk21_0),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_14])]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SWW190+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.12 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 5 03:14:50 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.43/23.49 eprover: CPU time limit exceeded, terminating
% 0.43/23.50 eprover: CPU time limit exceeded, terminating
% 0.43/23.50 eprover: CPU time limit exceeded, terminating
% 0.43/23.50 eprover: CPU time limit exceeded, terminating
% 0.44/24.61 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.44/24.61
% 0.44/24.61 # Failure: Resource limit exceeded (time)
% 0.44/24.61 # OLD status Res
% 0.44/24.61 # Preprocessing time : 0.115 s
% 0.44/24.61 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.44/24.61 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.44/24.61 # Preprocessing time : 0.040 s
% 0.44/24.61
% 0.44/24.61 # Proof found!
% 0.44/24.61 # SZS status Theorem
% 0.44/24.61 # SZS output start CNFRefutation
% See solution above
% 0.44/24.61 # Proof object total steps : 29
% 0.44/24.61 # Proof object clause steps : 15
% 0.44/24.61 # Proof object formula steps : 14
% 0.44/24.61 # Proof object conjectures : 10
% 0.44/24.61 # Proof object clause conjectures : 7
% 0.44/24.61 # Proof object formula conjectures : 3
% 0.44/24.61 # Proof object initial clauses used : 8
% 0.44/24.61 # Proof object initial formulas used : 7
% 0.44/24.61 # Proof object generating inferences : 6
% 0.44/24.61 # Proof object simplifying inferences : 4
% 0.44/24.61 # Training examples: 0 positive, 0 negative
% 0.44/24.61 # Parsed axioms : 1189
% 0.44/24.61 # Removed by relevancy pruning/SinE : 750
% 0.44/24.61 # Initial clauses : 658
% 0.44/24.61 # Removed in clause preprocessing : 36
% 0.44/24.61 # Initial clauses in saturation : 622
% 0.44/24.61 # Processed clauses : 1878
% 0.44/24.61 # ...of these trivial : 58
% 0.44/24.61 # ...subsumed : 1044
% 0.44/24.61 # ...remaining for further processing : 776
% 0.44/24.61 # Other redundant clauses eliminated : 137
% 0.44/24.61 # Clauses deleted for lack of memory : 0
% 0.44/24.61 # Backward-subsumed : 18
% 0.44/24.61 # Backward-rewritten : 29
% 0.44/24.61 # Generated clauses : 18044
% 0.44/24.61 # ...of the previous two non-trivial : 15564
% 0.44/24.61 # Contextual simplify-reflections : 130
% 0.44/24.61 # Paramodulations : 17860
% 0.44/24.61 # Factorizations : 6
% 0.44/24.61 # Equation resolutions : 179
% 0.44/24.61 # Current number of processed clauses : 704
% 0.44/24.61 # Positive orientable unit clauses : 187
% 0.44/24.61 # Positive unorientable unit clauses: 12
% 0.44/24.61 # Negative unit clauses : 29
% 0.44/24.61 # Non-unit-clauses : 476
% 0.44/24.61 # Current number of unprocessed clauses: 13574
% 0.44/24.61 # ...number of literals in the above : 39292
% 0.44/24.61 # Current number of archived formulas : 0
% 0.44/24.61 # Current number of archived clauses : 48
% 0.44/24.61 # Clause-clause subsumption calls (NU) : 16715
% 0.44/24.61 # Rec. Clause-clause subsumption calls : 15345
% 0.44/24.61 # Non-unit clause-clause subsumptions : 748
% 0.44/24.61 # Unit Clause-clause subsumption calls : 2367
% 0.44/24.61 # Rewrite failures with RHS unbound : 78
% 0.44/24.61 # BW rewrite match attempts : 1393
% 0.44/24.61 # BW rewrite match successes : 147
% 0.44/24.61 # Condensation attempts : 0
% 0.44/24.61 # Condensation successes : 0
% 0.44/24.61 # Termbank termtop insertions : 352912
% 0.44/24.61
% 0.44/24.61 # -------------------------------------------------
% 0.44/24.61 # User time : 0.244 s
% 0.44/24.61 # System time : 0.010 s
% 0.44/24.61 # Total time : 0.254 s
% 0.44/24.61 # Maximum resident set size: 17368 pages
% 0.44/46.51 eprover: CPU time limit exceeded, terminating
% 0.44/46.51 eprover: CPU time limit exceeded, terminating
% 0.44/46.52 eprover: CPU time limit exceeded, terminating
% 0.44/46.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/46.53 eprover: No such file or directory
% 0.44/46.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.53 eprover: No such file or directory
% 0.44/46.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.53 eprover: No such file or directory
% 0.44/46.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/46.53 eprover: No such file or directory
% 0.44/46.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.54 eprover: No such file or directory
% 0.44/46.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/46.54 eprover: No such file or directory
% 0.44/46.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.54 eprover: No such file or directory
% 0.44/46.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.54 eprover: No such file or directory
% 0.44/46.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/46.54 eprover: No such file or directory
% 0.44/46.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.55 eprover: No such file or directory
% 0.44/46.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.55 eprover: No such file or directory
% 0.44/46.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/46.55 eprover: No such file or directory
% 0.44/46.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.55 eprover: No such file or directory
% 0.44/46.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.55 eprover: No such file or directory
% 0.44/46.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/46.55 eprover: No such file or directory
% 0.44/46.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.56 eprover: No such file or directory
% 0.44/46.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.56 eprover: No such file or directory
% 0.44/46.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/46.56 eprover: No such file or directory
% 0.44/46.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.56 eprover: No such file or directory
% 0.44/46.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.56 eprover: No such file or directory
% 0.44/46.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.56 eprover: No such file or directory
% 0.44/46.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/46.56 eprover: No such file or directory
% 0.44/46.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.57 eprover: No such file or directory
% 0.44/46.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.57 eprover: No such file or directory
% 0.44/46.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.57 eprover: No such file or directory
% 0.44/46.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/46.57 eprover: No such file or directory
% 0.44/46.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.57 eprover: No such file or directory
% 0.44/46.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.57 eprover: No such file or directory
% 0.44/46.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/46.58 eprover: No such file or directory
% 0.44/46.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.58 eprover: No such file or directory
%------------------------------------------------------------------------------