TSTP Solution File: NUM618+3 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM618+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n009.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 09:34:28 EDT 2022
% Result : Theorem 0.21s 1.40s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 5 unt; 0 def)
% Number of atoms : 56 ( 18 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 61 ( 22 ~; 19 |; 18 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 6 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__5208,hypothesis,
( ! [X1] :
( aElementOf0(X1,xP)
=> aElementOf0(X1,xO) )
& aSubsetOf0(xP,xO) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__5208) ).
fof(m__,conjecture,
? [X1] :
( aElementOf0(X1,szNzAzT0)
& xx = sdtlpdtrp0(xe,X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__) ).
fof(m__4982,hypothesis,
! [X1] :
( ( ? [X2] :
( aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X2) = X1 )
| aElementOf0(X1,xO) )
=> ? [X2] :
( aElementOf0(X2,szNzAzT0)
& sdtlpdtrp0(xd,X2) = szDzizrdt0(xd)
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X2) = X1 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__4982) ).
fof(m__5348,hypothesis,
( aElement0(xx)
& aElementOf0(xx,xQ)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xP) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__5348) ).
fof(c_0_4,hypothesis,
! [X2] :
( ( ~ aElementOf0(X2,xP)
| aElementOf0(X2,xO) )
& aSubsetOf0(xP,xO) ),
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__5208])])])])]) ).
fof(c_0_5,negated_conjecture,
~ ? [X1] :
( aElementOf0(X1,szNzAzT0)
& xx = sdtlpdtrp0(xe,X1) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_6,hypothesis,
! [X3,X4] :
( ( aElementOf0(esk2_1(X3),szNzAzT0)
| ~ aElementOf0(X4,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xe,X4) != X3 )
& ( sdtlpdtrp0(xd,esk2_1(X3)) = szDzizrdt0(xd)
| ~ aElementOf0(X4,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xe,X4) != X3 )
& ( aElementOf0(esk2_1(X3),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X4,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xe,X4) != X3 )
& ( sdtlpdtrp0(xe,esk2_1(X3)) = X3
| ~ aElementOf0(X4,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xe,X4) != X3 )
& ( aElementOf0(esk2_1(X3),szNzAzT0)
| ~ aElementOf0(X3,xO) )
& ( sdtlpdtrp0(xd,esk2_1(X3)) = szDzizrdt0(xd)
| ~ aElementOf0(X3,xO) )
& ( aElementOf0(esk2_1(X3),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X3,xO) )
& ( sdtlpdtrp0(xe,esk2_1(X3)) = X3
| ~ aElementOf0(X3,xO) ) ),
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)],[m__4982])])])])])])]) ).
cnf(c_0_7,hypothesis,
( aElementOf0(X1,xO)
| ~ aElementOf0(X1,xP) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,hypothesis,
aElementOf0(xx,xP),
inference(split_conjunct,[status(thm)],[m__5348]) ).
fof(c_0_9,negated_conjecture,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| xx != sdtlpdtrp0(xe,X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])]) ).
cnf(c_0_10,hypothesis,
( sdtlpdtrp0(xe,esk2_1(X1)) = X1
| ~ aElementOf0(X1,xO) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,hypothesis,
aElementOf0(xx,xO),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,hypothesis,
( aElementOf0(esk2_1(X1),szNzAzT0)
| ~ aElementOf0(X1,xO) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
( xx != sdtlpdtrp0(xe,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,hypothesis,
sdtlpdtrp0(xe,esk2_1(xx)) = xx,
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,hypothesis,
aElementOf0(esk2_1(xx),szNzAzT0),
inference(spm,[status(thm)],[c_0_12,c_0_11]) ).
cnf(c_0_16,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM618+3 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.11 % Command : run_ET %s %d
% 0.11/0.32 % Computer : n009.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Thu Jul 7 19:15:52 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.21/1.40 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.21/1.40 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.21/1.40 # Preprocessing time : 0.023 s
% 0.21/1.40
% 0.21/1.40 # Proof found!
% 0.21/1.40 # SZS status Theorem
% 0.21/1.40 # SZS output start CNFRefutation
% See solution above
% 0.21/1.40 # Proof object total steps : 17
% 0.21/1.40 # Proof object clause steps : 9
% 0.21/1.40 # Proof object formula steps : 8
% 0.21/1.40 # Proof object conjectures : 5
% 0.21/1.40 # Proof object clause conjectures : 2
% 0.21/1.40 # Proof object formula conjectures : 3
% 0.21/1.40 # Proof object initial clauses used : 5
% 0.21/1.40 # Proof object initial formulas used : 4
% 0.21/1.40 # Proof object generating inferences : 4
% 0.21/1.40 # Proof object simplifying inferences : 2
% 0.21/1.40 # Training examples: 0 positive, 0 negative
% 0.21/1.40 # Parsed axioms : 115
% 0.21/1.40 # Removed by relevancy pruning/SinE : 78
% 0.21/1.40 # Initial clauses : 108
% 0.21/1.40 # Removed in clause preprocessing : 4
% 0.21/1.40 # Initial clauses in saturation : 104
% 0.21/1.40 # Processed clauses : 112
% 0.21/1.40 # ...of these trivial : 2
% 0.21/1.40 # ...subsumed : 6
% 0.21/1.40 # ...remaining for further processing : 104
% 0.21/1.40 # Other redundant clauses eliminated : 0
% 0.21/1.40 # Clauses deleted for lack of memory : 0
% 0.21/1.40 # Backward-subsumed : 0
% 0.21/1.40 # Backward-rewritten : 0
% 0.21/1.40 # Generated clauses : 98
% 0.21/1.40 # ...of the previous two non-trivial : 89
% 0.21/1.40 # Contextual simplify-reflections : 0
% 0.21/1.40 # Paramodulations : 95
% 0.21/1.40 # Factorizations : 0
% 0.21/1.40 # Equation resolutions : 3
% 0.21/1.40 # Current number of processed clauses : 104
% 0.21/1.40 # Positive orientable unit clauses : 30
% 0.21/1.40 # Positive unorientable unit clauses: 0
% 0.21/1.40 # Negative unit clauses : 4
% 0.21/1.40 # Non-unit-clauses : 70
% 0.21/1.40 # Current number of unprocessed clauses: 81
% 0.21/1.40 # ...number of literals in the above : 201
% 0.21/1.40 # Current number of archived formulas : 0
% 0.21/1.40 # Current number of archived clauses : 0
% 0.21/1.40 # Clause-clause subsumption calls (NU) : 608
% 0.21/1.40 # Rec. Clause-clause subsumption calls : 112
% 0.21/1.40 # Non-unit clause-clause subsumptions : 5
% 0.21/1.40 # Unit Clause-clause subsumption calls : 73
% 0.21/1.40 # Rewrite failures with RHS unbound : 0
% 0.21/1.40 # BW rewrite match attempts : 0
% 0.21/1.40 # BW rewrite match successes : 0
% 0.21/1.40 # Condensation attempts : 0
% 0.21/1.40 # Condensation successes : 0
% 0.21/1.40 # Termbank termtop insertions : 10621
% 0.21/1.40
% 0.21/1.40 # -------------------------------------------------
% 0.21/1.40 # User time : 0.026 s
% 0.21/1.40 # System time : 0.003 s
% 0.21/1.40 # Total time : 0.029 s
% 0.21/1.40 # Maximum resident set size: 3632 pages
%------------------------------------------------------------------------------