%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU031+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n011.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 09:16:29 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 9 unt; 0 def)
% Number of atoms : 145 ( 46 equ)
% Maximal formula atoms : 10 ( 5 avg)
% Number of connectives : 191 ( 75 ~; 72 |; 29 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l72_funct_1,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ! [X4] :
( ( relation(X4)
& function(X4) )
=> ( ( relation_rng(X2) = X1
& relation_composition(X2,X3) = identity_relation(relation_dom(X4))
& relation_composition(X3,X4) = identity_relation(X1) )
=> X4 = X2 ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l72_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(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(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(t64_funct_1,conjecture,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( one_to_one(X1)
& relation_rng(X2) = relation_dom(X1)
& relation_composition(X2,X1) = identity_relation(relation_rng(X1)) )
=> X2 = function_inverse(X1) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t64_funct_1) ).
fof(c_0_5,plain,
! [X5,X6,X7,X8] :
( ~ relation(X6)
| ~ function(X6)
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X8)
| ~ function(X8)
| relation_rng(X6) != X5
| relation_composition(X6,X7) != identity_relation(relation_dom(X8))
| relation_composition(X7,X8) != identity_relation(X5)
| X8 = X6 ),
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)],[l72_funct_1])])])])]) ).
cnf(c_0_6,plain,
( X1 = X2
| relation_composition(X3,X1) != identity_relation(X4)
| relation_composition(X2,X3) != identity_relation(relation_dom(X1))
| relation_rng(X2) != X4
| ~ function(X1)
| ~ relation(X1)
| ~ function(X3)
| ~ relation(X3)
| ~ function(X2)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_7,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_8,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])])]) ).
cnf(c_0_9,plain,
( X1 = X2
| relation_composition(X2,X3) != identity_relation(relation_dom(X1))
| relation_composition(X3,X1) != identity_relation(relation_rng(X2))
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1)
| ~ function(X3)
| ~ function(X2)
| ~ function(X1) ),
inference(er,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( relation_rng(X1) = relation_dom(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1)
| ~ one_to_one(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( function(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( relation(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_13,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_14,negated_conjecture,
~ ! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( one_to_one(X1)
& relation_rng(X2) = relation_dom(X1)
& relation_composition(X2,X1) = identity_relation(relation_rng(X1)) )
=> X2 = function_inverse(X1) ) ) ),
inference(assume_negation,[status(cth)],[t64_funct_1]) ).
cnf(c_0_15,plain,
( function_inverse(X1) = X2
| relation_composition(X3,function_inverse(X1)) != identity_relation(relation_rng(X2))
| relation_composition(X2,X3) != identity_relation(relation_rng(X1))
| ~ one_to_one(X1)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1)
| ~ function(X3)
| ~ function(X2)
| ~ function(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12]) ).
cnf(c_0_16,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_13]) ).
fof(c_0_17,negated_conjecture,
( relation(esk1_0)
& function(esk1_0)
& relation(esk2_0)
& function(esk2_0)
& one_to_one(esk1_0)
& relation_rng(esk2_0) = relation_dom(esk1_0)
& relation_composition(esk2_0,esk1_0) = identity_relation(relation_rng(esk1_0))
& esk2_0 != function_inverse(esk1_0) ),
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_14])])])])]) ).
cnf(c_0_18,plain,
( function_inverse(X1) = X2
| identity_relation(relation_dom(X1)) != identity_relation(relation_rng(X2))
| relation_composition(X2,X1) != identity_relation(relation_rng(X1))
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ function(X1)
| ~ function(X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
relation_composition(esk2_0,esk1_0) = identity_relation(relation_rng(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_20,negated_conjecture,
relation_rng(esk2_0) = relation_dom(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,negated_conjecture,
one_to_one(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,negated_conjecture,
relation(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,negated_conjecture,
function(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,negated_conjecture,
( function_inverse(esk1_0) = X1
| identity_relation(relation_rng(esk2_0)) != identity_relation(relation_rng(X1))
| relation_composition(X1,esk1_0) != relation_composition(esk2_0,esk1_0)
| ~ relation(X1)
| ~ function(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23])]) ).
cnf(c_0_25,negated_conjecture,
relation(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,negated_conjecture,
function(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_27,negated_conjecture,
esk2_0 != function_inverse(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_24]),c_0_25]),c_0_26])]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU031+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n011.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 Jun 19 20:00:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41 # Preprocessing time : 0.016 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.41 # Proof object total steps : 29
% 0.23/1.41 # Proof object clause steps : 18
% 0.23/1.41 # Proof object formula steps : 11
% 0.23/1.41 # Proof object conjectures : 13
% 0.23/1.41 # Proof object clause conjectures : 10
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 13
% 0.23/1.41 # Proof object initial formulas used : 5
% 0.23/1.41 # Proof object generating inferences : 5
% 0.23/1.41 # Proof object simplifying inferences : 11
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 43
% 0.23/1.41 # Removed by relevancy pruning/SinE : 17
% 0.23/1.41 # Initial clauses : 51
% 0.23/1.41 # Removed in clause preprocessing : 2
% 0.23/1.41 # Initial clauses in saturation : 49
% 0.23/1.41 # Processed clauses : 6723
% 0.23/1.41 # ...of these trivial : 18
% 0.23/1.41 # ...subsumed : 5921
% 0.23/1.41 # ...remaining for further processing : 784
% 0.23/1.41 # Other redundant clauses eliminated : 0
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 64
% 0.23/1.41 # Backward-rewritten : 159
% 0.23/1.41 # Generated clauses : 23792
% 0.23/1.41 # ...of the previous two non-trivial : 22937
% 0.23/1.41 # Contextual simplify-reflections : 5184
% 0.23/1.41 # Paramodulations : 23779
% 0.23/1.41 # Factorizations : 0
% 0.23/1.41 # Equation resolutions : 13
% 0.23/1.41 # Current number of processed clauses : 561
% 0.23/1.41 # Positive orientable unit clauses : 24
% 0.23/1.41 # Positive unorientable unit clauses: 0
% 0.23/1.41 # Negative unit clauses : 7
% 0.23/1.41 # Non-unit-clauses : 530
% 0.23/1.41 # Current number of unprocessed clauses: 10604
% 0.23/1.41 # ...number of literals in the above : 93759
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 223
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 544191
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 263521
% 0.23/1.41 # Non-unit clause-clause subsumptions : 9306
% 0.23/1.41 # Unit Clause-clause subsumption calls : 856
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 6
% 0.23/1.41 # BW rewrite match successes : 6
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 389981
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.626 s
% 0.23/1.41 # System time : 0.012 s
% 0.23/1.41 # Total time : 0.638 s
% 0.23/1.41 # Maximum resident set size: 13844 pages
%------------------------------------------------------------------------------