%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : TOP022+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n027.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 : Thu Jul 21 21:25:27 EDT 2022
% Result : Theorem 0.21s 1.39s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 5 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 55 ( 19 ~; 18 |; 12 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 52 ( 9 sgn 33 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(isomorphic_groups_defn,axiom,
! [X1,X2] :
( isomorphic_groups(X1,X2)
<=> ? [X3] : a_group_isomorphism_from_to(X3,X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',isomorphic_groups_defn) ).
fof(m_8_2_1,axiom,
! [X1,X5,X6,X4] :
( a_path_from_to_in(X1,X5,X6,X4)
=> a_group_isomorphism_from_to(alpha_hat(X1),first_homotop_grp(X4,X5),first_homotop_grp(X4,X6)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m_8_2_1) ).
fof(m_8_2_2,conjecture,
! [X4,X5,X6] :
( ( path_connected(X4)
& a_member_of(X5,X4)
& a_member_of(X6,X4) )
=> isomorphic_groups(first_homotop_grp(X4,X5),first_homotop_grp(X4,X6)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m_8_2_2) ).
fof(path_connected_defn,axiom,
! [X4,X5,X6] :
( path_connected(X4)
<=> ( ( a_member_of(X5,X4)
& a_member_of(X6,X4) )
=> ? [X7] : a_path_from_to_in(X7,X5,X6,X4) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',path_connected_defn) ).
fof(c_0_4,plain,
! [X4,X5,X4,X5,X7] :
( ( ~ isomorphic_groups(X4,X5)
| a_group_isomorphism_from_to(esk1_2(X4,X5),X4,X5) )
& ( ~ a_group_isomorphism_from_to(X7,X4,X5)
| isomorphic_groups(X4,X5) ) ),
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)],[isomorphic_groups_defn])])])])])]) ).
fof(c_0_5,plain,
! [X7,X8,X9,X10] :
( ~ a_path_from_to_in(X7,X8,X9,X10)
| a_group_isomorphism_from_to(alpha_hat(X7),first_homotop_grp(X10,X8),first_homotop_grp(X10,X9)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_8_2_1])]) ).
fof(c_0_6,negated_conjecture,
~ ! [X4,X5,X6] :
( ( path_connected(X4)
& a_member_of(X5,X4)
& a_member_of(X6,X4) )
=> isomorphic_groups(first_homotop_grp(X4,X5),first_homotop_grp(X4,X6)) ),
inference(assume_negation,[status(cth)],[m_8_2_2]) ).
cnf(c_0_7,plain,
( isomorphic_groups(X1,X2)
| ~ a_group_isomorphism_from_to(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( a_group_isomorphism_from_to(alpha_hat(X1),first_homotop_grp(X2,X3),first_homotop_grp(X2,X4))
| ~ a_path_from_to_in(X1,X3,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_9,plain,
! [X8,X9,X10,X8,X9,X10,X9,X10,X12] :
( ( ~ path_connected(X8)
| ~ a_member_of(X9,X8)
| ~ a_member_of(X10,X8)
| a_path_from_to_in(esk2_3(X8,X9,X10),X9,X10,X8) )
& ( a_member_of(X9,X8)
| path_connected(X8) )
& ( a_member_of(X10,X8)
| path_connected(X8) )
& ( ~ a_path_from_to_in(X12,X9,X10,X8)
| path_connected(X8) ) ),
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)],[path_connected_defn])])])])])])]) ).
fof(c_0_10,negated_conjecture,
( path_connected(esk3_0)
& a_member_of(esk4_0,esk3_0)
& a_member_of(esk5_0,esk3_0)
& ~ isomorphic_groups(first_homotop_grp(esk3_0,esk4_0),first_homotop_grp(esk3_0,esk5_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
cnf(c_0_11,plain,
( isomorphic_groups(first_homotop_grp(X1,X2),first_homotop_grp(X1,X3))
| ~ a_path_from_to_in(X4,X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,plain,
( a_path_from_to_in(esk2_3(X1,X2,X3),X2,X3,X1)
| ~ a_member_of(X3,X1)
| ~ a_member_of(X2,X1)
| ~ path_connected(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,negated_conjecture,
~ isomorphic_groups(first_homotop_grp(esk3_0,esk4_0),first_homotop_grp(esk3_0,esk5_0)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( isomorphic_groups(first_homotop_grp(X1,X2),first_homotop_grp(X1,X3))
| ~ a_member_of(X3,X1)
| ~ a_member_of(X2,X1)
| ~ path_connected(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
a_member_of(esk5_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
a_member_of(esk4_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,negated_conjecture,
path_connected(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : TOP022+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n027.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 May 29 08:47:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.21/1.39 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.21/1.39 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.21/1.39 # Preprocessing time : 0.014 s
% 0.21/1.39
% 0.21/1.39 # Failure: Out of unprocessed clauses!
% 0.21/1.39 # OLD status GaveUp
% 0.21/1.39 # Parsed axioms : 4
% 0.21/1.39 # Removed by relevancy pruning/SinE : 1
% 0.21/1.39 # Initial clauses : 10
% 0.21/1.39 # Removed in clause preprocessing : 0
% 0.21/1.39 # Initial clauses in saturation : 10
% 0.21/1.39 # Processed clauses : 10
% 0.21/1.39 # ...of these trivial : 0
% 0.21/1.39 # ...subsumed : 1
% 0.21/1.39 # ...remaining for further processing : 9
% 0.21/1.39 # Other redundant clauses eliminated : 0
% 0.21/1.39 # Clauses deleted for lack of memory : 0
% 0.21/1.39 # Backward-subsumed : 0
% 0.21/1.39 # Backward-rewritten : 0
% 0.21/1.39 # Generated clauses : 2
% 0.21/1.39 # ...of the previous two non-trivial : 0
% 0.21/1.39 # Contextual simplify-reflections : 0
% 0.21/1.39 # Paramodulations : 2
% 0.21/1.39 # Factorizations : 0
% 0.21/1.39 # Equation resolutions : 0
% 0.21/1.39 # Current number of processed clauses : 9
% 0.21/1.39 # Positive orientable unit clauses : 3
% 0.21/1.39 # Positive unorientable unit clauses: 0
% 0.21/1.39 # Negative unit clauses : 1
% 0.21/1.39 # Non-unit-clauses : 5
% 0.21/1.39 # Current number of unprocessed clauses: 0
% 0.21/1.39 # ...number of literals in the above : 0
% 0.21/1.39 # Current number of archived formulas : 0
% 0.21/1.39 # Current number of archived clauses : 0
% 0.21/1.39 # Clause-clause subsumption calls (NU) : 2
% 0.21/1.39 # Rec. Clause-clause subsumption calls : 2
% 0.21/1.39 # Non-unit clause-clause subsumptions : 1
% 0.21/1.39 # Unit Clause-clause subsumption calls : 0
% 0.21/1.39 # Rewrite failures with RHS unbound : 0
% 0.21/1.39 # BW rewrite match attempts : 0
% 0.21/1.39 # BW rewrite match successes : 0
% 0.21/1.39 # Condensation attempts : 0
% 0.21/1.39 # Condensation successes : 0
% 0.21/1.39 # Termbank termtop insertions : 589
% 0.21/1.39
% 0.21/1.39 # -------------------------------------------------
% 0.21/1.39 # User time : 0.012 s
% 0.21/1.39 # System time : 0.002 s
% 0.21/1.39 # Total time : 0.014 s
% 0.21/1.39 # Maximum resident set size: 2768 pages
% 0.21/1.39 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.21/1.39 # Preprocessing time : 0.014 s
% 0.21/1.39
% 0.21/1.39 # Proof found!
% 0.21/1.39 # SZS status Theorem
% 0.21/1.39 # SZS output start CNFRefutation
% See solution above
% 0.21/1.39 # Proof object total steps : 19
% 0.21/1.39 # Proof object clause steps : 10
% 0.21/1.39 # Proof object formula steps : 9
% 0.21/1.39 # Proof object conjectures : 8
% 0.21/1.39 # Proof object clause conjectures : 5
% 0.21/1.39 # Proof object formula conjectures : 3
% 0.21/1.39 # Proof object initial clauses used : 7
% 0.21/1.39 # Proof object initial formulas used : 4
% 0.21/1.39 # Proof object generating inferences : 3
% 0.21/1.39 # Proof object simplifying inferences : 4
% 0.21/1.39 # Training examples: 0 positive, 0 negative
% 0.21/1.39 # Parsed axioms : 4
% 0.21/1.39 # Removed by relevancy pruning/SinE : 0
% 0.21/1.39 # Initial clauses : 11
% 0.21/1.39 # Removed in clause preprocessing : 0
% 0.21/1.39 # Initial clauses in saturation : 11
% 0.21/1.39 # Processed clauses : 13
% 0.21/1.39 # ...of these trivial : 0
% 0.21/1.39 # ...subsumed : 1
% 0.21/1.39 # ...remaining for further processing : 12
% 0.21/1.39 # Other redundant clauses eliminated : 0
% 0.21/1.39 # Clauses deleted for lack of memory : 0
% 0.21/1.39 # Backward-subsumed : 0
% 0.21/1.39 # Backward-rewritten : 0
% 0.21/1.39 # Generated clauses : 5
% 0.21/1.39 # ...of the previous two non-trivial : 2
% 0.21/1.39 # Contextual simplify-reflections : 0
% 0.21/1.39 # Paramodulations : 5
% 0.21/1.39 # Factorizations : 0
% 0.21/1.39 # Equation resolutions : 0
% 0.21/1.39 # Current number of processed clauses : 12
% 0.21/1.39 # Positive orientable unit clauses : 3
% 0.21/1.39 # Positive unorientable unit clauses: 0
% 0.21/1.39 # Negative unit clauses : 1
% 0.21/1.39 # Non-unit-clauses : 8
% 0.21/1.39 # Current number of unprocessed clauses: 0
% 0.21/1.39 # ...number of literals in the above : 0
% 0.21/1.39 # Current number of archived formulas : 0
% 0.21/1.39 # Current number of archived clauses : 0
% 0.21/1.39 # Clause-clause subsumption calls (NU) : 5
% 0.21/1.39 # Rec. Clause-clause subsumption calls : 4
% 0.21/1.39 # Non-unit clause-clause subsumptions : 1
% 0.21/1.39 # Unit Clause-clause subsumption calls : 0
% 0.21/1.39 # Rewrite failures with RHS unbound : 0
% 0.21/1.39 # BW rewrite match attempts : 0
% 0.21/1.39 # BW rewrite match successes : 0
% 0.21/1.39 # Condensation attempts : 0
% 0.21/1.39 # Condensation successes : 0
% 0.21/1.39 # Termbank termtop insertions : 714
% 0.21/1.39
% 0.21/1.39 # -------------------------------------------------
% 0.21/1.39 # User time : 0.014 s
% 0.21/1.39 # System time : 0.000 s
% 0.21/1.39 # Total time : 0.014 s
% 0.21/1.39 # Maximum resident set size: 2772 pages
%------------------------------------------------------------------------------