TSTP Solution File: NUM545+2 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM545+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n028.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 09:33:38 EDT 2022
% Result : Theorem 0.22s 1.40s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 8 unt; 0 def)
% Number of atoms : 145 ( 18 equ)
% Maximal formula atoms : 44 ( 4 avg)
% Number of connectives : 174 ( 60 ~; 59 |; 42 &)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-1 aty)
% Number of variables : 36 ( 4 sgn 21 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
? [X1] :
( aElementOf0(X1,szNzAzT0)
& ( ( aSet0(slbdtrb0(X1))
& ! [X2] :
( aElementOf0(X2,slbdtrb0(X1))
<=> ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X1) ) ) )
=> ( ! [X2] :
( aElementOf0(X2,xS)
=> aElementOf0(X2,slbdtrb0(X1)) )
| aSubsetOf0(xS,slbdtrb0(X1)) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(m__2035,hypothesis,
( ~ ( ~ ? [X1] : aElementOf0(X1,xS)
& xS = slcrc0 )
=> ( aElementOf0(szmzazxdt0(xS),xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(X1,szmzazxdt0(xS)) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(szmzazxdt0(xS))) ) )
& ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
& aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2035) ).
fof(mSuccNum,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& szszuzczcdt0(X1) != sz00 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSuccNum) ).
fof(m__1986,hypothesis,
( aSet0(xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isFinite0(xS) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1986) ).
fof(mNoScLessZr,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mNoScLessZr) ).
fof(mSegZero,axiom,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSegZero) ).
fof(mZeroNum,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mZeroNum) ).
fof(c_0_7,negated_conjecture,
~ ? [X1] :
( aElementOf0(X1,szNzAzT0)
& ( ( aSet0(slbdtrb0(X1))
& ! [X2] :
( aElementOf0(X2,slbdtrb0(X1))
<=> ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X1) ) ) )
=> ( ! [X2] :
( aElementOf0(X2,xS)
=> aElementOf0(X2,slbdtrb0(X1)) )
| aSubsetOf0(xS,slbdtrb0(X1)) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_8,negated_conjecture,
! [X3,X4,X4] :
( ( aSet0(slbdtrb0(X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X4,slbdtrb0(X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(X4),X3)
| ~ aElementOf0(X4,slbdtrb0(X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(X4,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X4),X3)
| aElementOf0(X4,slbdtrb0(X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(esk1_1(X3),xS)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk1_1(X3),slbdtrb0(X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(xS,slbdtrb0(X3))
| ~ aElementOf0(X3,szNzAzT0) ) ),
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)],[c_0_7])])])])])])]) ).
fof(c_0_9,hypothesis,
! [X2,X3,X4,X4,X5] :
( ( aElementOf0(szmzazxdt0(xS),xS)
| ~ aElementOf0(X2,xS) )
& ( ~ aElementOf0(X3,xS)
| sdtlseqdt0(X3,szmzazxdt0(xS))
| ~ aElementOf0(X2,xS) )
& ( aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(X2,xS) )
& ( aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X4,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(X2,xS) )
& ( sdtlseqdt0(szszuzczcdt0(X4),szszuzczcdt0(szmzazxdt0(xS)))
| ~ aElementOf0(X4,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(X2,xS) )
& ( ~ aElementOf0(X4,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X4),szszuzczcdt0(szmzazxdt0(xS)))
| aElementOf0(X4,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(X2,xS) )
& ( ~ aElementOf0(X5,xS)
| aElementOf0(X5,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(X2,xS) )
& ( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(X2,xS) )
& ( aElementOf0(szmzazxdt0(xS),xS)
| xS = slcrc0 )
& ( ~ aElementOf0(X3,xS)
| sdtlseqdt0(X3,szmzazxdt0(xS))
| xS = slcrc0 )
& ( aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| xS = slcrc0 )
& ( aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X4,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| xS = slcrc0 )
& ( sdtlseqdt0(szszuzczcdt0(X4),szszuzczcdt0(szmzazxdt0(xS)))
| ~ aElementOf0(X4,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| xS = slcrc0 )
& ( ~ aElementOf0(X4,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X4),szszuzczcdt0(szmzazxdt0(xS)))
| aElementOf0(X4,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| xS = slcrc0 )
& ( ~ aElementOf0(X5,xS)
| aElementOf0(X5,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| xS = slcrc0 )
& ( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| xS = slcrc0 ) ),
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__2035])])])])])]) ).
cnf(c_0_10,negated_conjecture,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSubsetOf0(xS,slbdtrb0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,hypothesis,
( xS = slcrc0
| aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_12,plain,
! [X2] :
( ( aElementOf0(szszuzczcdt0(X2),szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( szszuzczcdt0(X2) != sz00
| ~ aElementOf0(X2,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNum])])]) ).
cnf(c_0_13,negated_conjecture,
( xS = slcrc0
| ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_15,hypothesis,
! [X2] :
( aSet0(xS)
& ( ~ aElementOf0(X2,xS)
| aElementOf0(X2,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isFinite0(xS) ),
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__1986])])])])]) ).
fof(c_0_16,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),sz00) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mNoScLessZr])])]) ).
cnf(c_0_17,negated_conjecture,
( aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,slbdtrb0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,plain,
slbdtrb0(sz00) = slcrc0,
inference(split_conjunct,[status(thm)],[mSegZero]) ).
cnf(c_0_19,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[mZeroNum]) ).
cnf(c_0_20,negated_conjecture,
( xS = slcrc0
| ~ aElementOf0(szmzazxdt0(xS),szNzAzT0) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_21,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,hypothesis,
( xS = slcrc0
| aElementOf0(szmzazxdt0(xS),xS) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_23,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X1),sz00)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,slbdtrb0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_25,negated_conjecture,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,slcrc0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_26,negated_conjecture,
( aElementOf0(esk1_1(X1),xS)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_27,hypothesis,
xS = slcrc0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_28,negated_conjecture,
~ aElementOf0(X1,slcrc0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_18]),c_0_19])]),c_0_25]) ).
cnf(c_0_29,negated_conjecture,
~ aElementOf0(X1,szNzAzT0),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_30,plain,
$false,
inference(sr,[status(thm)],[c_0_19,c_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM545+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n028.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 : Fri Jul 8 00:39:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.40 # Preprocessing time : 0.022 s
% 0.22/1.40
% 0.22/1.40 # Proof found!
% 0.22/1.40 # SZS status Theorem
% 0.22/1.40 # SZS output start CNFRefutation
% See solution above
% 0.22/1.40 # Proof object total steps : 31
% 0.22/1.40 # Proof object clause steps : 18
% 0.22/1.40 # Proof object formula steps : 13
% 0.22/1.40 # Proof object conjectures : 12
% 0.22/1.40 # Proof object clause conjectures : 9
% 0.22/1.40 # Proof object formula conjectures : 3
% 0.22/1.40 # Proof object initial clauses used : 11
% 0.22/1.40 # Proof object initial formulas used : 7
% 0.22/1.40 # Proof object generating inferences : 5
% 0.22/1.40 # Proof object simplifying inferences : 10
% 0.22/1.40 # Training examples: 0 positive, 0 negative
% 0.22/1.40 # Parsed axioms : 57
% 0.22/1.40 # Removed by relevancy pruning/SinE : 4
% 0.22/1.40 # Initial clauses : 117
% 0.22/1.40 # Removed in clause preprocessing : 5
% 0.22/1.40 # Initial clauses in saturation : 112
% 0.22/1.40 # Processed clauses : 133
% 0.22/1.40 # ...of these trivial : 0
% 0.22/1.40 # ...subsumed : 6
% 0.22/1.40 # ...remaining for further processing : 127
% 0.22/1.40 # Other redundant clauses eliminated : 11
% 0.22/1.40 # Clauses deleted for lack of memory : 0
% 0.22/1.40 # Backward-subsumed : 0
% 0.22/1.40 # Backward-rewritten : 26
% 0.22/1.40 # Generated clauses : 394
% 0.22/1.40 # ...of the previous two non-trivial : 356
% 0.22/1.40 # Contextual simplify-reflections : 18
% 0.22/1.40 # Paramodulations : 371
% 0.22/1.40 # Factorizations : 0
% 0.22/1.40 # Equation resolutions : 22
% 0.22/1.40 # Current number of processed clauses : 97
% 0.22/1.40 # Positive orientable unit clauses : 8
% 0.22/1.40 # Positive unorientable unit clauses: 0
% 0.22/1.40 # Negative unit clauses : 6
% 0.22/1.40 # Non-unit-clauses : 83
% 0.22/1.40 # Current number of unprocessed clauses: 220
% 0.22/1.40 # ...number of literals in the above : 1132
% 0.22/1.40 # Current number of archived formulas : 0
% 0.22/1.40 # Current number of archived clauses : 27
% 0.22/1.40 # Clause-clause subsumption calls (NU) : 2264
% 0.22/1.40 # Rec. Clause-clause subsumption calls : 408
% 0.22/1.40 # Non-unit clause-clause subsumptions : 23
% 0.22/1.40 # Unit Clause-clause subsumption calls : 133
% 0.22/1.40 # Rewrite failures with RHS unbound : 0
% 0.22/1.40 # BW rewrite match attempts : 1
% 0.22/1.40 # BW rewrite match successes : 1
% 0.22/1.40 # Condensation attempts : 0
% 0.22/1.40 # Condensation successes : 0
% 0.22/1.40 # Termbank termtop insertions : 14103
% 0.22/1.40
% 0.22/1.40 # -------------------------------------------------
% 0.22/1.40 # User time : 0.041 s
% 0.22/1.40 # System time : 0.003 s
% 0.22/1.40 # Total time : 0.044 s
% 0.22/1.40 # Maximum resident set size: 3780 pages
% 0.22/23.40 eprover: CPU time limit exceeded, terminating
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------