TSTP Solution File: SET988+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET988+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n029.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 : Tue Jul 19 00:55:54 EDT 2022
% Result : Theorem 0.21s 1.40s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 3 unt; 0 def)
% Number of atoms : 73 ( 19 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 83 ( 31 ~; 28 |; 17 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 51 ( 4 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t2_funct_1,conjecture,
! [X1] :
( ( ! [X2] :
~ ( in(X2,X1)
& ! [X3,X4] : ordered_pair(X3,X4) != X2 )
& ! [X2,X3,X4] :
( ( in(ordered_pair(X2,X3),X1)
& in(ordered_pair(X2,X4),X1) )
=> X3 = X4 ) )
=> ( relation(X1)
& function(X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_funct_1) ).
fof(d1_funct_1,axiom,
! [X1] :
( function(X1)
<=> ! [X2,X3,X4] :
( ( in(ordered_pair(X2,X3),X1)
& in(ordered_pair(X2,X4),X1) )
=> X3 = X4 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d1_funct_1) ).
fof(d1_relat_1,axiom,
! [X1] :
( relation(X1)
<=> ! [X2] :
~ ( in(X2,X1)
& ! [X3,X4] : X2 != ordered_pair(X3,X4) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d1_relat_1) ).
fof(c_0_3,negated_conjecture,
~ ! [X1] :
( ( ! [X2] :
~ ( in(X2,X1)
& ! [X3,X4] : ordered_pair(X3,X4) != X2 )
& ! [X2,X3,X4] :
( ( in(ordered_pair(X2,X3),X1)
& in(ordered_pair(X2,X4),X1) )
=> X3 = X4 ) )
=> ( relation(X1)
& function(X1) ) ),
inference(assume_negation,[status(cth)],[t2_funct_1]) ).
fof(c_0_4,negated_conjecture,
! [X6,X9,X10,X11] :
( ( ~ in(X6,esk1_0)
| ordered_pair(esk2_1(X6),esk3_1(X6)) = X6 )
& ( ~ in(ordered_pair(X9,X10),esk1_0)
| ~ in(ordered_pair(X9,X11),esk1_0)
| X10 = X11 )
& ( ~ relation(esk1_0)
| ~ function(esk1_0) ) ),
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_3])])])])])]) ).
fof(c_0_5,plain,
! [X5,X6,X7,X8,X5] :
( ( ~ function(X5)
| ~ in(ordered_pair(X6,X7),X5)
| ~ in(ordered_pair(X6,X8),X5)
| X7 = X8 )
& ( in(ordered_pair(esk5_1(X5),esk6_1(X5)),X5)
| function(X5) )
& ( in(ordered_pair(esk5_1(X5),esk7_1(X5)),X5)
| function(X5) )
& ( esk6_1(X5) != esk7_1(X5)
| function(X5) ) ),
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)],[d1_funct_1])])])])])])]) ).
cnf(c_0_6,negated_conjecture,
( X1 = X2
| ~ in(ordered_pair(X3,X2),esk1_0)
| ~ in(ordered_pair(X3,X1),esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( function(X1)
| in(ordered_pair(esk5_1(X1),esk6_1(X1)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X5,X6,X5,X10,X11] :
( ( ~ relation(X5)
| ~ in(X6,X5)
| X6 = ordered_pair(esk10_2(X5,X6),esk11_2(X5,X6)) )
& ( in(esk12_1(X5),X5)
| relation(X5) )
& ( esk12_1(X5) != ordered_pair(X10,X11)
| relation(X5) ) ),
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)],[d1_relat_1])])])])])])]) ).
cnf(c_0_9,negated_conjecture,
( X1 = esk6_1(esk1_0)
| function(esk1_0)
| ~ in(ordered_pair(esk5_1(esk1_0),X1),esk1_0) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,plain,
( function(X1)
| in(ordered_pair(esk5_1(X1),esk7_1(X1)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
( function(X1)
| esk6_1(X1) != esk7_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,plain,
( relation(X1)
| esk12_1(X1) != ordered_pair(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
( ordered_pair(esk2_1(X1),esk3_1(X1)) = X1
| ~ in(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_14,negated_conjecture,
( ~ function(esk1_0)
| ~ relation(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_15,negated_conjecture,
function(esk1_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_16,negated_conjecture,
( relation(X1)
| esk12_1(X1) != X2
| ~ in(X2,esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
( relation(X1)
| in(esk12_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,negated_conjecture,
~ relation(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]) ).
cnf(c_0_19,negated_conjecture,
( relation(X1)
| esk12_1(X1) != esk12_1(esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_19]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET988+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n029.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 : Sun Jul 10 15:14:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.21/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.21/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.21/1.40 # Preprocessing time : 0.016 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 : 21
% 0.21/1.40 # Proof object clause steps : 14
% 0.21/1.40 # Proof object formula steps : 7
% 0.21/1.40 # Proof object conjectures : 12
% 0.21/1.40 # Proof object clause conjectures : 9
% 0.21/1.40 # Proof object formula conjectures : 3
% 0.21/1.40 # Proof object initial clauses used : 8
% 0.21/1.40 # Proof object initial formulas used : 3
% 0.21/1.40 # Proof object generating inferences : 5
% 0.21/1.40 # Proof object simplifying inferences : 5
% 0.21/1.40 # Training examples: 0 positive, 0 negative
% 0.21/1.40 # Parsed axioms : 33
% 0.21/1.40 # Removed by relevancy pruning/SinE : 11
% 0.21/1.40 # Initial clauses : 34
% 0.21/1.40 # Removed in clause preprocessing : 0
% 0.21/1.40 # Initial clauses in saturation : 34
% 0.21/1.40 # Processed clauses : 78
% 0.21/1.40 # ...of these trivial : 2
% 0.21/1.40 # ...subsumed : 11
% 0.21/1.40 # ...remaining for further processing : 65
% 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 : 8
% 0.21/1.40 # Generated clauses : 82
% 0.21/1.40 # ...of the previous two non-trivial : 77
% 0.21/1.40 # Contextual simplify-reflections : 3
% 0.21/1.40 # Paramodulations : 81
% 0.21/1.40 # Factorizations : 0
% 0.21/1.40 # Equation resolutions : 1
% 0.21/1.40 # Current number of processed clauses : 57
% 0.21/1.40 # Positive orientable unit clauses : 12
% 0.21/1.40 # Positive unorientable unit clauses: 0
% 0.21/1.40 # Negative unit clauses : 8
% 0.21/1.40 # Non-unit-clauses : 37
% 0.21/1.40 # Current number of unprocessed clauses: 28
% 0.21/1.40 # ...number of literals in the above : 75
% 0.21/1.40 # Current number of archived formulas : 0
% 0.21/1.40 # Current number of archived clauses : 8
% 0.21/1.40 # Clause-clause subsumption calls (NU) : 101
% 0.21/1.40 # Rec. Clause-clause subsumption calls : 89
% 0.21/1.40 # Non-unit clause-clause subsumptions : 9
% 0.21/1.40 # Unit Clause-clause subsumption calls : 14
% 0.21/1.40 # Rewrite failures with RHS unbound : 0
% 0.21/1.40 # BW rewrite match attempts : 4
% 0.21/1.40 # BW rewrite match successes : 4
% 0.21/1.40 # Condensation attempts : 0
% 0.21/1.40 # Condensation successes : 0
% 0.21/1.40 # Termbank termtop insertions : 2826
% 0.21/1.40
% 0.21/1.40 # -------------------------------------------------
% 0.21/1.40 # User time : 0.016 s
% 0.21/1.40 # System time : 0.004 s
% 0.21/1.40 # Total time : 0.020 s
% 0.21/1.40 # Maximum resident set size: 2992 pages
%------------------------------------------------------------------------------