TSTP Solution File: NUM620+3 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM620+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n015.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 09:34:29 EDT 2022
% Result : Theorem 0.29s 1.46s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 39 ( 6 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 36 ( 10 ~; 7 |; 13 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xm))
=> aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
& aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
=> aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__) ).
fof(m__4660,hypothesis,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(sdtlpdtrp0(xe,X1),X2) )
& sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__4660) ).
fof(m__5389,hypothesis,
( aElementOf0(xm,szNzAzT0)
& xx = sdtlpdtrp0(xe,xm) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__5389) ).
fof(c_0_3,negated_conjecture,
~ ( ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xm))
=> aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
& aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
=> aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_4,hypothesis,
! [X3,X4] :
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ( aElementOf0(sdtlpdtrp0(xe,X3),sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(X4,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(sdtlpdtrp0(xe,X3),X4)
| ~ aElementOf0(X3,szNzAzT0) )
& ( sdtlpdtrp0(xe,X3) = szmzizndt0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4660])])])])])]) ).
fof(c_0_5,negated_conjecture,
! [X2] :
( ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xm))
| aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
& aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
& ~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).
cnf(c_0_6,hypothesis,
( aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,hypothesis,
aElementOf0(xm,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__5389]) ).
cnf(c_0_8,hypothesis,
xx = sdtlpdtrp0(xe,xm),
inference(split_conjunct,[status(thm)],[m__5389]) ).
cnf(c_0_9,negated_conjecture,
( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xm)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,hypothesis,
aElementOf0(xx,sdtlpdtrp0(xN,xm)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).
cnf(c_0_11,negated_conjecture,
~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM620+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : run_ET %s %d
% 0.15/0.36 % Computer : n015.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Thu Jul 7 13:12:19 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.29/1.46 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.29/1.46 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.29/1.46 # Preprocessing time : 0.031 s
% 0.29/1.46
% 0.29/1.46 # Proof found!
% 0.29/1.46 # SZS status Theorem
% 0.29/1.46 # SZS output start CNFRefutation
% See solution above
% 0.29/1.46 # Proof object total steps : 13
% 0.29/1.46 # Proof object clause steps : 7
% 0.29/1.46 # Proof object formula steps : 6
% 0.29/1.46 # Proof object conjectures : 6
% 0.29/1.46 # Proof object clause conjectures : 3
% 0.29/1.46 # Proof object formula conjectures : 3
% 0.29/1.46 # Proof object initial clauses used : 5
% 0.29/1.46 # Proof object initial formulas used : 3
% 0.29/1.46 # Proof object generating inferences : 2
% 0.29/1.46 # Proof object simplifying inferences : 2
% 0.29/1.46 # Training examples: 0 positive, 0 negative
% 0.29/1.46 # Parsed axioms : 117
% 0.29/1.46 # Removed by relevancy pruning/SinE : 70
% 0.29/1.46 # Initial clauses : 117
% 0.29/1.46 # Removed in clause preprocessing : 4
% 0.29/1.46 # Initial clauses in saturation : 113
% 0.29/1.46 # Processed clauses : 125
% 0.29/1.46 # ...of these trivial : 3
% 0.29/1.46 # ...subsumed : 6
% 0.29/1.46 # ...remaining for further processing : 116
% 0.29/1.46 # Other redundant clauses eliminated : 0
% 0.29/1.46 # Clauses deleted for lack of memory : 0
% 0.29/1.46 # Backward-subsumed : 0
% 0.29/1.46 # Backward-rewritten : 0
% 0.29/1.46 # Generated clauses : 171
% 0.29/1.46 # ...of the previous two non-trivial : 155
% 0.29/1.46 # Contextual simplify-reflections : 3
% 0.29/1.46 # Paramodulations : 168
% 0.29/1.46 # Factorizations : 0
% 0.29/1.46 # Equation resolutions : 3
% 0.29/1.46 # Current number of processed clauses : 116
% 0.29/1.46 # Positive orientable unit clauses : 39
% 0.29/1.46 # Positive unorientable unit clauses: 0
% 0.29/1.46 # Negative unit clauses : 7
% 0.29/1.46 # Non-unit-clauses : 70
% 0.29/1.46 # Current number of unprocessed clauses: 143
% 0.29/1.46 # ...number of literals in the above : 327
% 0.29/1.46 # Current number of archived formulas : 0
% 0.29/1.46 # Current number of archived clauses : 0
% 0.29/1.46 # Clause-clause subsumption calls (NU) : 712
% 0.29/1.46 # Rec. Clause-clause subsumption calls : 161
% 0.29/1.46 # Non-unit clause-clause subsumptions : 8
% 0.29/1.46 # Unit Clause-clause subsumption calls : 214
% 0.29/1.46 # Rewrite failures with RHS unbound : 0
% 0.29/1.46 # BW rewrite match attempts : 0
% 0.29/1.46 # BW rewrite match successes : 0
% 0.29/1.46 # Condensation attempts : 0
% 0.29/1.46 # Condensation successes : 0
% 0.29/1.46 # Termbank termtop insertions : 11433
% 0.29/1.46
% 0.29/1.46 # -------------------------------------------------
% 0.29/1.46 # User time : 0.033 s
% 0.29/1.46 # System time : 0.009 s
% 0.29/1.46 # Total time : 0.042 s
% 0.29/1.46 # Maximum resident set size: 3648 pages
% 0.29/23.45 eprover: CPU time limit exceeded, terminating
% 0.29/23.45 eprover: CPU time limit exceeded, terminating
% 0.29/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.46 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: 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: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.47 eprover: No such file or directory
% 0.29/23.48 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.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.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.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.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.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.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.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.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.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.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.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.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.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
%------------------------------------------------------------------------------