TSTP Solution File: KRS134+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : KRS134+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n025.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 02:59:52 EDT 2022
% Result : Theorem 0.21s 1.40s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 5 unt; 0 def)
% Number of atoms : 113 ( 0 equ)
% Maximal formula atoms : 30 ( 3 avg)
% Number of connectives : 130 ( 46 ~; 62 |; 14 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 24 ( 5 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( cowlThing(X1)
=> ! [X2] :
( rprop(X1,X2)
=> cA(X2) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',the_axiom) ).
fof(axiom_0,axiom,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_0) ).
fof(axiom_1,axiom,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_1) ).
fof(axiom_2,axiom,
! [X1,X2] :
( rprop(X1,X2)
=> cA(X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_2) ).
fof(c_0_4,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( cowlThing(X1)
=> ! [X2] :
( rprop(X1,X2)
=> cA(X2) ) ) ),
inference(assume_negation,[status(cth)],[the_axiom]) ).
fof(c_0_5,negated_conjecture,
( ( cowlThing(esk4_0)
| ~ xsd_string(esk3_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0) )
& ( rprop(esk4_0,esk5_0)
| ~ xsd_string(esk3_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0) )
& ( ~ cA(esk5_0)
| ~ xsd_string(esk3_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0) )
& ( cowlThing(esk4_0)
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0) )
& ( rprop(esk4_0,esk5_0)
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0) )
& ( ~ cA(esk5_0)
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0) ) ),
inference(distribute,[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_4])])])])])])]) ).
fof(c_0_6,plain,
! [X2,X2] :
( cowlThing(X2)
& ~ cowlNothing(X2) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_0])])])]) ).
cnf(c_0_7,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| rprop(esk4_0,esk5_0)
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_9,plain,
! [X2,X2] :
( ( ~ xsd_string(X2)
| ~ xsd_integer(X2) )
& ( xsd_integer(X2)
| xsd_string(X2) ) ),
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)],[axiom_1])])])])]) ).
fof(c_0_10,plain,
! [X3,X4] :
( ~ rprop(X3,X4)
| cA(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])]) ).
cnf(c_0_11,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| rprop(esk4_0,esk5_0)
| ~ xsd_string(esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]) ).
cnf(c_0_12,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,plain,
( xsd_string(X1)
| xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk3_0)
| ~ cA(esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,plain,
( cA(X1)
| ~ rprop(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
( rprop(esk4_0,esk5_0)
| xsd_integer(esk3_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_17,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| rprop(esk4_0,esk5_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| ~ xsd_string(esk3_0)
| ~ cA(esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_8])]) ).
cnf(c_0_19,negated_conjecture,
( cA(esk5_0)
| xsd_integer(esk3_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk3_0)
| ~ cA(esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_21,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| rprop(esk4_0,esk5_0)
| ~ xsd_integer(esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_8])]) ).
cnf(c_0_22,negated_conjecture,
xsd_integer(esk3_0),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_12]),c_0_13]) ).
cnf(c_0_23,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cA(esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_8])]) ).
cnf(c_0_24,negated_conjecture,
( rprop(esk4_0,esk5_0)
| xsd_string(esk3_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22])]),c_0_12]) ).
cnf(c_0_25,negated_conjecture,
( xsd_string(esk3_0)
| ~ cA(esk5_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_22])]),c_0_12]) ).
cnf(c_0_26,plain,
( ~ xsd_integer(X1)
| ~ xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_27,negated_conjecture,
xsd_string(esk3_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_24]),c_0_25]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_22])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : KRS134+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n025.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 : Tue Jun 7 12:24:04 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 : 0.014 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 : 29
% 0.21/1.40 # Proof object clause steps : 20
% 0.21/1.40 # Proof object formula steps : 9
% 0.21/1.40 # Proof object conjectures : 18
% 0.21/1.40 # Proof object clause conjectures : 15
% 0.21/1.40 # Proof object formula conjectures : 3
% 0.21/1.40 # Proof object initial clauses used : 9
% 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 : 21
% 0.21/1.40 # Training examples: 0 positive, 0 negative
% 0.21/1.40 # Parsed axioms : 4
% 0.21/1.40 # Removed by relevancy pruning/SinE : 0
% 0.21/1.40 # Initial clauses : 11
% 0.21/1.40 # Removed in clause preprocessing : 3
% 0.21/1.40 # Initial clauses in saturation : 8
% 0.21/1.40 # Processed clauses : 13
% 0.21/1.40 # ...of these trivial : 0
% 0.21/1.40 # ...subsumed : 0
% 0.21/1.40 # ...remaining for further processing : 13
% 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 : 7
% 0.21/1.40 # Generated clauses : 7
% 0.21/1.40 # ...of the previous two non-trivial : 6
% 0.21/1.40 # Contextual simplify-reflections : 3
% 0.21/1.40 # Paramodulations : 7
% 0.21/1.40 # Factorizations : 0
% 0.21/1.40 # Equation resolutions : 0
% 0.21/1.40 # Current number of processed clauses : 6
% 0.21/1.40 # Positive orientable unit clauses : 2
% 0.21/1.40 # Positive unorientable unit clauses: 0
% 0.21/1.40 # Negative unit clauses : 1
% 0.21/1.40 # Non-unit-clauses : 3
% 0.21/1.40 # Current number of unprocessed clauses: 0
% 0.21/1.40 # ...number of literals in the above : 0
% 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) : 6
% 0.21/1.40 # Rec. Clause-clause subsumption calls : 5
% 0.21/1.40 # Non-unit clause-clause subsumptions : 3
% 0.21/1.40 # Unit Clause-clause subsumption calls : 2
% 0.21/1.40 # Rewrite failures with RHS unbound : 0
% 0.21/1.40 # BW rewrite match attempts : 2
% 0.21/1.40 # BW rewrite match successes : 2
% 0.21/1.40 # Condensation attempts : 0
% 0.21/1.40 # Condensation successes : 0
% 0.21/1.40 # Termbank termtop insertions : 633
% 0.21/1.40
% 0.21/1.40 # -------------------------------------------------
% 0.21/1.40 # User time : 0.014 s
% 0.21/1.40 # System time : 0.001 s
% 0.21/1.40 # Total time : 0.015 s
% 0.21/1.40 # Maximum resident set size: 2764 pages
%------------------------------------------------------------------------------