TSTP Solution File: LCL638+1.001 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LCL638+1.001 : 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 : Sun Jul 17 10:12:14 EDT 2022
% Result : Theorem 0.09s 1.29s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 19 ( 3 unt; 0 def)
% Number of atoms : 168 ( 0 equ)
% Maximal formula atoms : 54 ( 8 avg)
% Number of connectives : 311 ( 162 ~; 128 |; 21 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 80 ( 0 sgn 53 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ~ p1(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) )
& p1(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) ) )
& ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ $true ) )
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',main) ).
fof(c_0_1,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ~ p1(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) )
& p1(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) ) )
& ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ $true ) )
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) ),
inference(assume_negation,[status(cth)],[main]) ).
fof(c_0_2,negated_conjecture,
! [X4,X5,X7,X8,X10,X11,X12,X15,X16,X17,X18,X20,X23] :
( ( r1(X5,esk2_2(X4,X5))
| ~ r1(X4,X5)
| p1(X4)
| ~ r1(esk1_0,X4) )
& ( ~ p1(esk2_2(X4,X5))
| ~ r1(X4,X5)
| p1(X4)
| ~ r1(esk1_0,X4) )
& ( r1(X8,esk3_2(X7,X8))
| ~ r1(X7,X8)
| ~ p1(X7)
| ~ r1(esk1_0,X7) )
& ( p1(esk3_2(X7,X8))
| ~ r1(X7,X8)
| ~ p1(X7)
| ~ r1(esk1_0,X7) )
& ( r1(X10,esk5_1(X10))
| r1(X12,esk4_3(X10,X11,X12))
| ~ r1(X11,X12)
| ~ r1(X10,X11)
| ~ r1(esk1_0,X10) )
& ( ~ r1(esk5_1(X10),X15)
| ~ p1(X15)
| r1(X12,esk4_3(X10,X11,X12))
| ~ r1(X11,X12)
| ~ r1(X10,X11)
| ~ r1(esk1_0,X10) )
& ( r1(X10,esk5_1(X10))
| p1(esk4_3(X10,X11,X12))
| ~ r1(X11,X12)
| ~ r1(X10,X11)
| ~ r1(esk1_0,X10) )
& ( ~ r1(esk5_1(X10),X15)
| ~ p1(X15)
| p1(esk4_3(X10,X11,X12))
| ~ r1(X11,X12)
| ~ r1(X10,X11)
| ~ r1(esk1_0,X10) )
& ( r1(X16,esk6_1(X16))
| ~ r1(X16,X17)
| ~ r1(X17,X18)
| p1(X18)
| ~ r1(esk1_0,X16) )
& ( ~ p1(esk6_1(X16))
| ~ r1(X16,X17)
| ~ r1(X17,X18)
| p1(X18)
| ~ r1(esk1_0,X16) )
& ( ~ r1(esk1_0,X20)
| r1(X20,esk7_1(X20)) )
& r1(esk1_0,esk8_0)
& ~ p1(esk8_0)
& ( ~ r1(esk8_0,X23)
| p1(X23) ) ),
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)],[inference(fof_simplification,[status(thm)],[c_0_1])])])])])])])]) ).
cnf(c_0_3,negated_conjecture,
( p1(X2)
| r1(X1,esk6_1(X1))
| ~ r1(esk1_0,X1)
| ~ r1(X3,X2)
| ~ r1(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( p1(X1)
| r1(X2,esk2_2(X1,X2))
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( p1(X1)
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ p1(esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( p1(X1)
| r1(X2,esk6_1(X2))
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,X1)
| ~ r1(X2,X3)
| ~ r1(X1,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]) ).
cnf(c_0_7,negated_conjecture,
( r1(X1,esk7_1(X1))
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
( p1(X2)
| ~ r1(esk1_0,X1)
| ~ r1(X3,X2)
| ~ r1(X1,X3)
| ~ p1(esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9,negated_conjecture,
( p1(X1)
| ~ r1(esk8_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_10,negated_conjecture,
( p1(X1)
| r1(X2,esk6_1(X2))
| ~ r1(X1,esk7_1(X2))
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,negated_conjecture,
( p1(X1)
| ~ r1(esk8_0,esk6_1(X2))
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
( p1(X1)
| r1(X1,esk6_1(X1))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_7]) ).
cnf(c_0_13,negated_conjecture,
r1(esk1_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_14,negated_conjecture,
~ p1(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_15,negated_conjecture,
( p1(X1)
| ~ r1(esk8_0,X2)
| ~ r1(X2,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),c_0_14]) ).
cnf(c_0_16,negated_conjecture,
( p1(X1)
| ~ r1(esk7_1(esk8_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_7]),c_0_13])]) ).
cnf(c_0_17,negated_conjecture,
( p1(X1)
| ~ r1(X1,esk7_1(esk8_0))
| ~ r1(esk1_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_4]),c_0_5]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_7]),c_0_13])]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : LCL638+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.07 % Command : run_ET %s %d
% 0.06/0.25 % Computer : n009.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 600
% 0.06/0.25 % DateTime : Sun Jul 3 09:39:22 EDT 2022
% 0.06/0.25 % CPUTime :
% 0.09/1.29 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.09/1.29 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.09/1.29 # Preprocessing time : 0.008 s
% 0.09/1.29
% 0.09/1.29 # Proof found!
% 0.09/1.29 # SZS status Theorem
% 0.09/1.29 # SZS output start CNFRefutation
% See solution above
% 0.09/1.29 # Proof object total steps : 19
% 0.09/1.29 # Proof object clause steps : 16
% 0.09/1.29 # Proof object formula steps : 3
% 0.09/1.29 # Proof object conjectures : 19
% 0.09/1.29 # Proof object clause conjectures : 16
% 0.09/1.29 # Proof object formula conjectures : 3
% 0.09/1.29 # Proof object initial clauses used : 8
% 0.09/1.29 # Proof object initial formulas used : 1
% 0.09/1.29 # Proof object generating inferences : 8
% 0.09/1.29 # Proof object simplifying inferences : 10
% 0.09/1.29 # Training examples: 0 positive, 0 negative
% 0.09/1.29 # Parsed axioms : 1
% 0.09/1.29 # Removed by relevancy pruning/SinE : 0
% 0.09/1.29 # Initial clauses : 14
% 0.09/1.29 # Removed in clause preprocessing : 0
% 0.09/1.29 # Initial clauses in saturation : 14
% 0.09/1.29 # Processed clauses : 78
% 0.09/1.29 # ...of these trivial : 0
% 0.09/1.29 # ...subsumed : 16
% 0.09/1.29 # ...remaining for further processing : 62
% 0.09/1.29 # Other redundant clauses eliminated : 0
% 0.09/1.29 # Clauses deleted for lack of memory : 0
% 0.09/1.29 # Backward-subsumed : 13
% 0.09/1.29 # Backward-rewritten : 0
% 0.09/1.29 # Generated clauses : 129
% 0.09/1.29 # ...of the previous two non-trivial : 122
% 0.09/1.29 # Contextual simplify-reflections : 41
% 0.09/1.29 # Paramodulations : 129
% 0.09/1.29 # Factorizations : 0
% 0.09/1.29 # Equation resolutions : 0
% 0.09/1.29 # Current number of processed clauses : 49
% 0.09/1.29 # Positive orientable unit clauses : 1
% 0.09/1.29 # Positive unorientable unit clauses: 0
% 0.09/1.29 # Negative unit clauses : 2
% 0.09/1.29 # Non-unit-clauses : 46
% 0.09/1.29 # Current number of unprocessed clauses: 49
% 0.09/1.29 # ...number of literals in the above : 314
% 0.09/1.29 # Current number of archived formulas : 0
% 0.09/1.29 # Current number of archived clauses : 13
% 0.09/1.29 # Clause-clause subsumption calls (NU) : 1204
% 0.09/1.29 # Rec. Clause-clause subsumption calls : 516
% 0.09/1.29 # Non-unit clause-clause subsumptions : 69
% 0.09/1.29 # Unit Clause-clause subsumption calls : 0
% 0.09/1.29 # Rewrite failures with RHS unbound : 0
% 0.09/1.29 # BW rewrite match attempts : 0
% 0.09/1.29 # BW rewrite match successes : 0
% 0.09/1.29 # Condensation attempts : 0
% 0.09/1.29 # Condensation successes : 0
% 0.09/1.29 # Termbank termtop insertions : 4381
% 0.09/1.29
% 0.09/1.29 # -------------------------------------------------
% 0.09/1.29 # User time : 0.015 s
% 0.09/1.29 # System time : 0.001 s
% 0.09/1.29 # Total time : 0.016 s
% 0.09/1.29 # Maximum resident set size: 3032 pages
%------------------------------------------------------------------------------