TSTP Solution File: ITP012+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : ITP012+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n017.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 : Sat Jul 16 22:45:53 EDT 2022
% Result : Theorem 0.26s 1.45s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 25 ( 16 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 6 ~; 3 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 32 ( 2 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm_2Einteger_2EINT__DIVIDES__RSUB,conjecture,
! [X24,X25,X26] :
( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,X25))))
=> s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X26),s(tyop_2Einteger_2Eint,X25))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,X26))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thm_2Einteger_2EINT__DIVIDES__RSUB) ).
fof(thm_2Einteger_2EINT__DIVIDES__RADD,axiom,
! [X24,X25,X26] :
( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,X25))))
=> s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X26),s(tyop_2Einteger_2Eint,X25))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,X26))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thm_2Einteger_2EINT__DIVIDES__RADD) ).
fof(thm_2Einteger_2Eint__sub,axiom,
! [X9,X10] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X9),s(tyop_2Einteger_2Eint,X10))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X9),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X10))))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thm_2Einteger_2Eint__sub) ).
fof(thm_2Einteger_2EINT__DIVIDES__NEG,axiom,
! [X24,X25] :
( s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X25))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,X25)))
& s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X24))),s(tyop_2Einteger_2Eint,X25))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,X25))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thm_2Einteger_2EINT__DIVIDES__NEG) ).
fof(c_0_4,negated_conjecture,
~ ! [X24,X25,X26] :
( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,X25))))
=> s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X26),s(tyop_2Einteger_2Eint,X25))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,X26))) ),
inference(assume_negation,[status(cth)],[thm_2Einteger_2EINT__DIVIDES__RSUB]) ).
fof(c_0_5,plain,
! [X27,X28,X29] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X27),s(tyop_2Einteger_2Eint,X28))))
| s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X27),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X29),s(tyop_2Einteger_2Eint,X28))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X27),s(tyop_2Einteger_2Eint,X29))) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Einteger_2EINT__DIVIDES__RADD])])])]) ).
fof(c_0_6,plain,
! [X11,X12] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X11),s(tyop_2Einteger_2Eint,X12))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X11),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X12))))),
inference(variable_rename,[status(thm)],[thm_2Einteger_2Eint__sub]) ).
fof(c_0_7,plain,
! [X26,X27,X26,X27] :
( s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X26),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X27))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X26),s(tyop_2Einteger_2Eint,X27)))
& s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X26))),s(tyop_2Einteger_2Eint,X27))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X26),s(tyop_2Einteger_2Eint,X27))) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[thm_2Einteger_2EINT__DIVIDES__NEG])])]) ).
fof(c_0_8,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,esk1_0),s(tyop_2Einteger_2Eint,esk2_0))))
& s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,esk1_0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,esk3_0),s(tyop_2Einteger_2Eint,esk2_0))))) != s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,esk1_0),s(tyop_2Einteger_2Eint,esk3_0))) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
cnf(c_0_9,plain,
( s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X2),s(tyop_2Einteger_2Eint,X3))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,X2)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,X2))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X2))))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X2))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,X2))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,esk1_0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,esk3_0),s(tyop_2Einteger_2Eint,esk2_0))))) != s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,esk1_0),s(tyop_2Einteger_2Eint,esk3_0))),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X2),s(tyop_2Einteger_2Eint,X3))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,X2)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,X3)))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_14,negated_conjecture,
p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,esk1_0),s(tyop_2Einteger_2Eint,esk2_0)))),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ITP012+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.08/0.14 % Command : run_ET %s %d
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Thu Jun 2 14:21:13 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.26/1.45 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.26/1.45 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.26/1.45 # Preprocessing time : 0.022 s
% 0.26/1.45
% 0.26/1.45 # Proof found!
% 0.26/1.45 # SZS status Theorem
% 0.26/1.45 # SZS output start CNFRefutation
% See solution above
% 0.26/1.45 # Proof object total steps : 16
% 0.26/1.45 # Proof object clause steps : 7
% 0.26/1.45 # Proof object formula steps : 9
% 0.26/1.45 # Proof object conjectures : 6
% 0.26/1.45 # Proof object clause conjectures : 3
% 0.26/1.45 # Proof object formula conjectures : 3
% 0.26/1.45 # Proof object initial clauses used : 5
% 0.26/1.45 # Proof object initial formulas used : 4
% 0.26/1.45 # Proof object generating inferences : 2
% 0.26/1.45 # Proof object simplifying inferences : 3
% 0.26/1.45 # Training examples: 0 positive, 0 negative
% 0.26/1.45 # Parsed axioms : 52
% 0.26/1.45 # Removed by relevancy pruning/SinE : 37
% 0.26/1.45 # Initial clauses : 209
% 0.26/1.45 # Removed in clause preprocessing : 177
% 0.26/1.45 # Initial clauses in saturation : 32
% 0.26/1.45 # Processed clauses : 33
% 0.26/1.45 # ...of these trivial : 0
% 0.26/1.45 # ...subsumed : 12
% 0.26/1.45 # ...remaining for further processing : 21
% 0.26/1.45 # Other redundant clauses eliminated : 0
% 0.26/1.45 # Clauses deleted for lack of memory : 0
% 0.26/1.45 # Backward-subsumed : 0
% 0.26/1.45 # Backward-rewritten : 0
% 0.26/1.45 # Generated clauses : 82
% 0.26/1.45 # ...of the previous two non-trivial : 35
% 0.26/1.45 # Contextual simplify-reflections : 7
% 0.26/1.45 # Paramodulations : 80
% 0.26/1.45 # Factorizations : 2
% 0.26/1.45 # Equation resolutions : 0
% 0.26/1.45 # Current number of processed clauses : 21
% 0.26/1.45 # Positive orientable unit clauses : 4
% 0.26/1.45 # Positive unorientable unit clauses: 0
% 0.26/1.45 # Negative unit clauses : 1
% 0.26/1.45 # Non-unit-clauses : 16
% 0.26/1.45 # Current number of unprocessed clauses: 34
% 0.26/1.45 # ...number of literals in the above : 118
% 0.26/1.45 # Current number of archived formulas : 0
% 0.26/1.45 # Current number of archived clauses : 0
% 0.26/1.45 # Clause-clause subsumption calls (NU) : 77
% 0.26/1.45 # Rec. Clause-clause subsumption calls : 71
% 0.26/1.45 # Non-unit clause-clause subsumptions : 19
% 0.26/1.45 # Unit Clause-clause subsumption calls : 0
% 0.26/1.45 # Rewrite failures with RHS unbound : 0
% 0.26/1.45 # BW rewrite match attempts : 14
% 0.26/1.45 # BW rewrite match successes : 0
% 0.26/1.45 # Condensation attempts : 0
% 0.26/1.45 # Condensation successes : 0
% 0.26/1.45 # Termbank termtop insertions : 12095
% 0.26/1.45
% 0.26/1.45 # -------------------------------------------------
% 0.26/1.45 # User time : 0.021 s
% 0.26/1.45 # System time : 0.004 s
% 0.26/1.45 # Total time : 0.025 s
% 0.26/1.45 # Maximum resident set size: 3060 pages
%------------------------------------------------------------------------------