%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU034+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : Tue Jul 19 09:16:30 EDT 2022
% Result : Theorem 0.22s 1.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 14 unt; 0 def)
% Number of atoms : 103 ( 33 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 119 ( 49 ~; 46 |; 16 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 35 ( 5 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t44_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( relation_rng(X1) = relation_dom(X2)
& relation_composition(X1,X2) = X1 )
=> X2 = identity_relation(relation_dom(X2)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t44_funct_1) ).
fof(t61_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ( one_to_one(X1)
=> ( relation_composition(X1,function_inverse(X1)) = identity_relation(relation_dom(X1))
& relation_composition(function_inverse(X1),X1) = identity_relation(relation_rng(X1)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t61_funct_1) ).
fof(dt_k2_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ( relation(function_inverse(X1))
& function(function_inverse(X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k2_funct_1) ).
fof(t55_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ( one_to_one(X1)
=> ( relation_rng(X1) = relation_dom(function_inverse(X1))
& relation_dom(X1) = relation_rng(function_inverse(X1)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t55_funct_1) ).
fof(t67_funct_1,conjecture,
! [X1] : function_inverse(identity_relation(X1)) = identity_relation(X1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t67_funct_1) ).
fof(t71_relat_1,axiom,
! [X1] :
( relation_dom(identity_relation(X1)) = X1
& relation_rng(identity_relation(X1)) = X1 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t71_relat_1) ).
fof(t52_funct_1,axiom,
! [X1] : one_to_one(identity_relation(X1)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t52_funct_1) ).
fof(dt_k6_relat_1,axiom,
! [X1] : relation(identity_relation(X1)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k6_relat_1) ).
fof(fc2_funct_1,axiom,
! [X1] :
( relation(identity_relation(X1))
& function(identity_relation(X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc2_funct_1) ).
fof(c_0_9,plain,
! [X3,X4] :
( ~ relation(X3)
| ~ function(X3)
| ~ relation(X4)
| ~ function(X4)
| relation_rng(X3) != relation_dom(X4)
| relation_composition(X3,X4) != X3
| X4 = identity_relation(relation_dom(X4)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t44_funct_1])])])])]) ).
fof(c_0_10,plain,
! [X2] :
( ( relation_composition(X2,function_inverse(X2)) = identity_relation(relation_dom(X2))
| ~ one_to_one(X2)
| ~ relation(X2)
| ~ function(X2) )
& ( relation_composition(function_inverse(X2),X2) = identity_relation(relation_rng(X2))
| ~ one_to_one(X2)
| ~ relation(X2)
| ~ function(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t61_funct_1])])]) ).
fof(c_0_11,plain,
! [X2] :
( ( relation(function_inverse(X2))
| ~ relation(X2)
| ~ function(X2) )
& ( function(function_inverse(X2))
| ~ relation(X2)
| ~ function(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_funct_1])])]) ).
fof(c_0_12,plain,
! [X2] :
( ( relation_rng(X2) = relation_dom(function_inverse(X2))
| ~ one_to_one(X2)
| ~ relation(X2)
| ~ function(X2) )
& ( relation_dom(X2) = relation_rng(function_inverse(X2))
| ~ one_to_one(X2)
| ~ relation(X2)
| ~ function(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t55_funct_1])])]) ).
fof(c_0_13,negated_conjecture,
~ ! [X1] : function_inverse(identity_relation(X1)) = identity_relation(X1),
inference(assume_negation,[status(cth)],[t67_funct_1]) ).
cnf(c_0_14,plain,
( X1 = identity_relation(relation_dom(X1))
| relation_composition(X2,X1) != X2
| relation_rng(X2) != relation_dom(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( relation_composition(X1,function_inverse(X1)) = identity_relation(relation_dom(X1))
| ~ function(X1)
| ~ relation(X1)
| ~ one_to_one(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
( function(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
( relation(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
( relation_rng(X1) = relation_dom(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1)
| ~ one_to_one(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_19,negated_conjecture,
function_inverse(identity_relation(esk1_0)) != identity_relation(esk1_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
cnf(c_0_20,plain,
( identity_relation(relation_dom(function_inverse(X1))) = function_inverse(X1)
| identity_relation(relation_dom(X1)) != X1
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17]),c_0_18]) ).
fof(c_0_21,plain,
! [X2,X2] :
( relation_dom(identity_relation(X2)) = X2
& relation_rng(identity_relation(X2)) = X2 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[t71_relat_1])])]) ).
fof(c_0_22,plain,
! [X2] : one_to_one(identity_relation(X2)),
inference(variable_rename,[status(thm)],[t52_funct_1]) ).
fof(c_0_23,plain,
! [X2] : relation(identity_relation(X2)),
inference(variable_rename,[status(thm)],[dt_k6_relat_1]) ).
fof(c_0_24,plain,
! [X2,X2] :
( relation(identity_relation(X2))
& function(identity_relation(X2)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[fc2_funct_1])])]) ).
cnf(c_0_25,negated_conjecture,
function_inverse(identity_relation(esk1_0)) != identity_relation(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,plain,
( function_inverse(X1) = identity_relation(relation_rng(X1))
| identity_relation(relation_dom(X1)) != X1
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_18]) ).
cnf(c_0_27,plain,
relation_rng(identity_relation(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,plain,
relation_dom(identity_relation(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,plain,
one_to_one(identity_relation(X1)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,plain,
relation(identity_relation(X1)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,plain,
function(identity_relation(X1)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU034+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 20 02:44:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.22/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.41 # Preprocessing time : 0.016 s
% 0.22/1.41
% 0.22/1.41 # Proof found!
% 0.22/1.41 # SZS status Theorem
% 0.22/1.41 # SZS output start CNFRefutation
% See solution above
% 0.22/1.41 # Proof object total steps : 33
% 0.22/1.41 # Proof object clause steps : 14
% 0.22/1.41 # Proof object formula steps : 19
% 0.22/1.41 # Proof object conjectures : 5
% 0.22/1.41 # Proof object clause conjectures : 2
% 0.22/1.41 # Proof object formula conjectures : 3
% 0.22/1.41 # Proof object initial clauses used : 11
% 0.22/1.41 # Proof object initial formulas used : 9
% 0.22/1.41 # Proof object generating inferences : 3
% 0.22/1.41 # Proof object simplifying inferences : 9
% 0.22/1.41 # Training examples: 0 positive, 0 negative
% 0.22/1.41 # Parsed axioms : 45
% 0.22/1.41 # Removed by relevancy pruning/SinE : 17
% 0.22/1.41 # Initial clauses : 47
% 0.22/1.41 # Removed in clause preprocessing : 2
% 0.22/1.41 # Initial clauses in saturation : 45
% 0.22/1.41 # Processed clauses : 846
% 0.22/1.41 # ...of these trivial : 7
% 0.22/1.41 # ...subsumed : 585
% 0.22/1.41 # ...remaining for further processing : 254
% 0.22/1.41 # Other redundant clauses eliminated : 0
% 0.22/1.41 # Clauses deleted for lack of memory : 0
% 0.22/1.41 # Backward-subsumed : 19
% 0.22/1.41 # Backward-rewritten : 12
% 0.22/1.41 # Generated clauses : 6605
% 0.22/1.41 # ...of the previous two non-trivial : 5958
% 0.22/1.41 # Contextual simplify-reflections : 383
% 0.22/1.41 # Paramodulations : 6605
% 0.22/1.41 # Factorizations : 0
% 0.22/1.41 # Equation resolutions : 0
% 0.22/1.41 # Current number of processed clauses : 223
% 0.22/1.41 # Positive orientable unit clauses : 20
% 0.22/1.41 # Positive unorientable unit clauses: 0
% 0.22/1.41 # Negative unit clauses : 4
% 0.22/1.41 # Non-unit-clauses : 199
% 0.22/1.41 # Current number of unprocessed clauses: 4879
% 0.22/1.41 # ...number of literals in the above : 25270
% 0.22/1.41 # Current number of archived formulas : 0
% 0.22/1.41 # Current number of archived clauses : 31
% 0.22/1.41 # Clause-clause subsumption calls (NU) : 9640
% 0.22/1.41 # Rec. Clause-clause subsumption calls : 7070
% 0.22/1.41 # Non-unit clause-clause subsumptions : 968
% 0.22/1.41 # Unit Clause-clause subsumption calls : 5
% 0.22/1.41 # Rewrite failures with RHS unbound : 0
% 0.22/1.41 # BW rewrite match attempts : 5
% 0.22/1.41 # BW rewrite match successes : 5
% 0.22/1.41 # Condensation attempts : 0
% 0.22/1.41 # Condensation successes : 0
% 0.22/1.41 # Termbank termtop insertions : 75171
% 0.22/1.41
% 0.22/1.41 # -------------------------------------------------
% 0.22/1.41 # User time : 0.117 s
% 0.22/1.41 # System time : 0.009 s
% 0.22/1.41 # Total time : 0.126 s
% 0.22/1.41 # Maximum resident set size: 6972 pages
%------------------------------------------------------------------------------