%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : RNG086+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 20:26:51 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 6 unt; 0 def)
% Number of atoms : 153 ( 30 equ)
% Maximal formula atoms : 52 ( 6 avg)
% Number of connectives : 219 ( 90 ~; 94 |; 28 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 5 con; 0-4 aty)
% Number of variables : 56 ( 3 sgn 25 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
? [X1,X2] :
( aElementOf0(X1,xI)
& aElementOf0(X2,xJ)
& xx = sdtpldt0(X1,X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(mDefSSum,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aSet0(X2) )
=> ! [X3] :
( X3 = sdtpldt1(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ? [X5,X6] :
( aElementOf0(X5,X1)
& aElementOf0(X6,X2)
& sdtpldt0(X5,X6) = X4 ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefSSum) ).
fof(mDefIdeal,axiom,
! [X1] :
( aIdeal0(X1)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> ( ! [X3] :
( aElementOf0(X3,X1)
=> aElementOf0(sdtpldt0(X2,X3),X1) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X2),X1) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefIdeal) ).
fof(m__870,hypothesis,
( aIdeal0(xI)
& aIdeal0(xJ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__870) ).
fof(m__901,hypothesis,
( aElementOf0(xx,sdtpldt1(xI,xJ))
& aElementOf0(xy,sdtpldt1(xI,xJ))
& aElement0(xz) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__901) ).
fof(c_0_5,negated_conjecture,
~ ? [X1,X2] :
( aElementOf0(X1,xI)
& aElementOf0(X2,xJ)
& xx = sdtpldt0(X1,X2) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_6,negated_conjecture,
! [X3,X4] :
( ~ aElementOf0(X3,xI)
| ~ aElementOf0(X4,xJ)
| xx != sdtpldt0(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])]) ).
fof(c_0_7,plain,
! [X7,X8,X9,X10,X10,X13,X14,X9,X16,X17] :
( ( aSet0(X9)
| X9 != sdtpldt1(X7,X8)
| ~ aSet0(X7)
| ~ aSet0(X8) )
& ( aElementOf0(esk6_4(X7,X8,X9,X10),X7)
| ~ aElementOf0(X10,X9)
| X9 != sdtpldt1(X7,X8)
| ~ aSet0(X7)
| ~ aSet0(X8) )
& ( aElementOf0(esk7_4(X7,X8,X9,X10),X8)
| ~ aElementOf0(X10,X9)
| X9 != sdtpldt1(X7,X8)
| ~ aSet0(X7)
| ~ aSet0(X8) )
& ( sdtpldt0(esk6_4(X7,X8,X9,X10),esk7_4(X7,X8,X9,X10)) = X10
| ~ aElementOf0(X10,X9)
| X9 != sdtpldt1(X7,X8)
| ~ aSet0(X7)
| ~ aSet0(X8) )
& ( ~ aElementOf0(X13,X7)
| ~ aElementOf0(X14,X8)
| sdtpldt0(X13,X14) != X10
| aElementOf0(X10,X9)
| X9 != sdtpldt1(X7,X8)
| ~ aSet0(X7)
| ~ aSet0(X8) )
& ( ~ aElementOf0(esk8_3(X7,X8,X9),X9)
| ~ aElementOf0(X16,X7)
| ~ aElementOf0(X17,X8)
| sdtpldt0(X16,X17) != esk8_3(X7,X8,X9)
| ~ aSet0(X9)
| X9 = sdtpldt1(X7,X8)
| ~ aSet0(X7)
| ~ aSet0(X8) )
& ( aElementOf0(esk9_3(X7,X8,X9),X7)
| aElementOf0(esk8_3(X7,X8,X9),X9)
| ~ aSet0(X9)
| X9 = sdtpldt1(X7,X8)
| ~ aSet0(X7)
| ~ aSet0(X8) )
& ( aElementOf0(esk10_3(X7,X8,X9),X8)
| aElementOf0(esk8_3(X7,X8,X9),X9)
| ~ aSet0(X9)
| X9 = sdtpldt1(X7,X8)
| ~ aSet0(X7)
| ~ aSet0(X8) )
& ( sdtpldt0(esk9_3(X7,X8,X9),esk10_3(X7,X8,X9)) = esk8_3(X7,X8,X9)
| aElementOf0(esk8_3(X7,X8,X9),X9)
| ~ aSet0(X9)
| X9 = sdtpldt1(X7,X8)
| ~ aSet0(X7)
| ~ aSet0(X8) ) ),
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)],[mDefSSum])])])])])])]) ).
fof(c_0_8,plain,
! [X4,X5,X6,X7,X4] :
( ( aSet0(X4)
| ~ aIdeal0(X4) )
& ( ~ aElementOf0(X6,X4)
| aElementOf0(sdtpldt0(X5,X6),X4)
| ~ aElementOf0(X5,X4)
| ~ aIdeal0(X4) )
& ( ~ aElement0(X7)
| aElementOf0(sdtasdt0(X7,X5),X4)
| ~ aElementOf0(X5,X4)
| ~ aIdeal0(X4) )
& ( aElementOf0(esk1_1(X4),X4)
| ~ aSet0(X4)
| aIdeal0(X4) )
& ( aElement0(esk3_1(X4))
| aElementOf0(esk2_1(X4),X4)
| ~ aSet0(X4)
| aIdeal0(X4) )
& ( ~ aElementOf0(sdtasdt0(esk3_1(X4),esk1_1(X4)),X4)
| aElementOf0(esk2_1(X4),X4)
| ~ aSet0(X4)
| aIdeal0(X4) )
& ( aElement0(esk3_1(X4))
| ~ aElementOf0(sdtpldt0(esk1_1(X4),esk2_1(X4)),X4)
| ~ aSet0(X4)
| aIdeal0(X4) )
& ( ~ aElementOf0(sdtasdt0(esk3_1(X4),esk1_1(X4)),X4)
| ~ aElementOf0(sdtpldt0(esk1_1(X4),esk2_1(X4)),X4)
| ~ aSet0(X4)
| aIdeal0(X4) ) ),
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)],[mDefIdeal])])])])])])]) ).
cnf(c_0_9,negated_conjecture,
( xx != sdtpldt0(X1,X2)
| ~ aElementOf0(X2,xJ)
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( sdtpldt0(esk6_4(X2,X1,X3,X4),esk7_4(X2,X1,X3,X4)) = X4
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt1(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( aSet0(X1)
| ~ aIdeal0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,hypothesis,
aIdeal0(xJ),
inference(split_conjunct,[status(thm)],[m__870]) ).
cnf(c_0_13,negated_conjecture,
( X1 != sdtpldt1(X2,X3)
| X4 != xx
| ~ aElementOf0(esk7_4(X2,X3,X1,X4),xJ)
| ~ aElementOf0(esk6_4(X2,X3,X1,X4),xI)
| ~ aElementOf0(X4,X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
( aElementOf0(esk7_4(X2,X1,X3,X4),X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt1(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,hypothesis,
aSet0(xJ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,hypothesis,
aIdeal0(xI),
inference(split_conjunct,[status(thm)],[m__870]) ).
cnf(c_0_17,negated_conjecture,
( X1 != sdtpldt1(X2,xJ)
| X3 != xx
| ~ aElementOf0(esk6_4(X2,xJ,X1,X3),xI)
| ~ aElementOf0(X3,X1)
| ~ aSet0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_18,plain,
( aElementOf0(esk6_4(X2,X1,X3,X4),X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt1(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,hypothesis,
aSet0(xI),
inference(spm,[status(thm)],[c_0_11,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( X1 != sdtpldt1(xI,xJ)
| X2 != xx
| ~ aElementOf0(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_15])]) ).
cnf(c_0_21,negated_conjecture,
( X1 != xx
| ~ aElementOf0(X1,sdtpldt1(xI,xJ)) ),
inference(er,[status(thm)],[c_0_20]) ).
cnf(c_0_22,hypothesis,
aElementOf0(xx,sdtpldt1(xI,xJ)),
inference(split_conjunct,[status(thm)],[m__901]) ).
cnf(c_0_23,hypothesis,
$false,
inference(spm,[status(thm)],[c_0_21,c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG086+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon May 30 10:41:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41 # Preprocessing time : 0.017 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.41 # Proof object total steps : 24
% 0.23/1.41 # Proof object clause steps : 15
% 0.23/1.41 # Proof object formula steps : 9
% 0.23/1.41 # Proof object conjectures : 8
% 0.23/1.41 # Proof object clause conjectures : 5
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 8
% 0.23/1.41 # Proof object initial formulas used : 5
% 0.23/1.41 # Proof object generating inferences : 7
% 0.23/1.41 # Proof object simplifying inferences : 5
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 27
% 0.23/1.41 # Removed by relevancy pruning/SinE : 11
% 0.23/1.41 # Initial clauses : 38
% 0.23/1.41 # Removed in clause preprocessing : 2
% 0.23/1.41 # Initial clauses in saturation : 36
% 0.23/1.41 # Processed clauses : 254
% 0.23/1.41 # ...of these trivial : 0
% 0.23/1.41 # ...subsumed : 129
% 0.23/1.41 # ...remaining for further processing : 125
% 0.23/1.41 # Other redundant clauses eliminated : 1
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 0
% 0.23/1.41 # Backward-rewritten : 2
% 0.23/1.41 # Generated clauses : 2040
% 0.23/1.41 # ...of the previous two non-trivial : 2032
% 0.23/1.41 # Contextual simplify-reflections : 79
% 0.23/1.41 # Paramodulations : 2034
% 0.23/1.41 # Factorizations : 0
% 0.23/1.41 # Equation resolutions : 6
% 0.23/1.41 # Current number of processed clauses : 123
% 0.23/1.41 # Positive orientable unit clauses : 9
% 0.23/1.41 # Positive unorientable unit clauses: 0
% 0.23/1.41 # Negative unit clauses : 0
% 0.23/1.41 # Non-unit-clauses : 114
% 0.23/1.41 # Current number of unprocessed clauses: 1814
% 0.23/1.41 # ...number of literals in the above : 12944
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 2
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 4387
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 1591
% 0.23/1.41 # Non-unit clause-clause subsumptions : 208
% 0.23/1.41 # Unit Clause-clause subsumption calls : 33
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 2
% 0.23/1.41 # BW rewrite match successes : 2
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 46328
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.080 s
% 0.23/1.41 # System time : 0.006 s
% 0.23/1.41 # Total time : 0.086 s
% 0.23/1.41 # Maximum resident set size: 5160 pages
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: CPU time limit exceeded, terminating
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------