TSTP Solution File: GRP642+4 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GRP642+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n005.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 09:02:44 EDT 2022
% Result : Theorem 2.07s 4.26s
% Output : CNFRefutation 2.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 12 unt; 0 def)
% Number of atoms : 64 ( 12 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 67 ( 25 ~; 16 |; 19 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 19 ( 3 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t20_latsubgr,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> k1_funct_1(k1_latsubgr(X1),X2) != k1_xboole_0 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t20_latsubgr) ).
fof(d1_xboole_0,axiom,
! [X1] :
( X1 = k1_xboole_0
<=> ! [X2] : ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+2.ax',d1_xboole_0) ).
fof(t19_latsubgr,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> r2_hidden(k2_group_1(X1),k1_funct_1(k1_latsubgr(X1),X2)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t19_latsubgr) ).
fof(t51_card_1,axiom,
np__0 = k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+54.ax',t51_card_1) ).
fof(c_0_4,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> k1_funct_1(k1_latsubgr(X1),X2) != k1_xboole_0 ) ),
inference(assume_negation,[status(cth)],[t20_latsubgr]) ).
fof(c_0_5,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v3_group_1(esk1_0)
& v4_group_1(esk1_0)
& l1_group_1(esk1_0)
& v1_group_1(esk2_0)
& m1_group_2(esk2_0,esk1_0)
& k1_funct_1(k1_latsubgr(esk1_0),esk2_0) = k1_xboole_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)],[inference(fof_simplification,[status(thm)],[c_0_4])])])])])]) ).
fof(c_0_6,plain,
! [X3,X4,X3] :
( ( X3 != k1_xboole_0
| ~ r2_hidden(X4,X3) )
& ( r2_hidden(esk3_1(X3),X3)
| X3 = k1_xboole_0 ) ),
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)],[inference(fof_simplification,[status(thm)],[d1_xboole_0])])])])])])]) ).
fof(c_0_7,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ~ v1_group_1(X4)
| ~ m1_group_2(X4,X3)
| r2_hidden(k2_group_1(X3),k1_funct_1(k1_latsubgr(X3),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)],[inference(fof_simplification,[status(thm)],[t19_latsubgr])])])])])]) ).
cnf(c_0_8,negated_conjecture,
k1_funct_1(k1_latsubgr(esk1_0),esk2_0) = k1_xboole_0,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
np__0 = k1_xboole_0,
inference(split_conjunct,[status(thm)],[t51_card_1]) ).
cnf(c_0_10,plain,
( ~ r2_hidden(X1,X2)
| X2 != k1_xboole_0 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( r2_hidden(k2_group_1(X1),k1_funct_1(k1_latsubgr(X1),X2))
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
m1_group_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
k1_funct_1(k1_latsubgr(esk1_0),esk2_0) = np__0,
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_16,negated_conjecture,
v1_group_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_17,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_19,plain,
( X1 != np__0
| ~ r2_hidden(X2,X1) ),
inference(rw,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_20,negated_conjecture,
r2_hidden(k2_group_1(esk1_0),np__0),
inference(sr,[status(thm)],[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_11,c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17])]),c_0_18]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_19,c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP642+4 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 07:45:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.07/4.26 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 2.07/4.26 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 2.07/4.26 # Preprocessing time : 1.321 s
% 2.07/4.26
% 2.07/4.26 # Proof found!
% 2.07/4.26 # SZS status Theorem
% 2.07/4.26 # SZS output start CNFRefutation
% See solution above
% 2.07/4.26 # Proof object total steps : 22
% 2.07/4.26 # Proof object clause steps : 14
% 2.07/4.26 # Proof object formula steps : 8
% 2.07/4.26 # Proof object conjectures : 13
% 2.07/4.26 # Proof object clause conjectures : 10
% 2.07/4.26 # Proof object formula conjectures : 3
% 2.07/4.26 # Proof object initial clauses used : 10
% 2.07/4.26 # Proof object initial formulas used : 4
% 2.07/4.26 # Proof object generating inferences : 2
% 2.07/4.26 # Proof object simplifying inferences : 9
% 2.07/4.26 # Training examples: 0 positive, 0 negative
% 2.07/4.26 # Parsed axioms : 36510
% 2.07/4.26 # Removed by relevancy pruning/SinE : 36409
% 2.07/4.26 # Initial clauses : 218
% 2.07/4.26 # Removed in clause preprocessing : 10
% 2.07/4.26 # Initial clauses in saturation : 208
% 2.07/4.26 # Processed clauses : 219
% 2.07/4.26 # ...of these trivial : 2
% 2.07/4.26 # ...subsumed : 9
% 2.07/4.26 # ...remaining for further processing : 208
% 2.07/4.26 # Other redundant clauses eliminated : 2
% 2.07/4.26 # Clauses deleted for lack of memory : 0
% 2.07/4.26 # Backward-subsumed : 0
% 2.07/4.26 # Backward-rewritten : 3
% 2.07/4.26 # Generated clauses : 699
% 2.07/4.26 # ...of the previous two non-trivial : 612
% 2.07/4.26 # Contextual simplify-reflections : 25
% 2.07/4.26 # Paramodulations : 689
% 2.07/4.26 # Factorizations : 2
% 2.07/4.26 # Equation resolutions : 8
% 2.07/4.26 # Current number of processed clauses : 203
% 2.07/4.26 # Positive orientable unit clauses : 29
% 2.07/4.26 # Positive unorientable unit clauses: 0
% 2.07/4.26 # Negative unit clauses : 9
% 2.07/4.26 # Non-unit-clauses : 165
% 2.07/4.26 # Current number of unprocessed clauses: 581
% 2.07/4.26 # ...number of literals in the above : 3441
% 2.07/4.26 # Current number of archived formulas : 0
% 2.07/4.26 # Current number of archived clauses : 3
% 2.07/4.26 # Clause-clause subsumption calls (NU) : 13914
% 2.07/4.26 # Rec. Clause-clause subsumption calls : 2526
% 2.07/4.26 # Non-unit clause-clause subsumptions : 34
% 2.07/4.26 # Unit Clause-clause subsumption calls : 945
% 2.07/4.26 # Rewrite failures with RHS unbound : 0
% 2.07/4.26 # BW rewrite match attempts : 2
% 2.07/4.26 # BW rewrite match successes : 2
% 2.07/4.26 # Condensation attempts : 0
% 2.07/4.26 # Condensation successes : 0
% 2.07/4.26 # Termbank termtop insertions : 1127444
% 2.07/4.26
% 2.07/4.26 # -------------------------------------------------
% 2.07/4.26 # User time : 1.285 s
% 2.07/4.26 # System time : 0.064 s
% 2.07/4.26 # Total time : 1.349 s
% 2.07/4.26 # Maximum resident set size: 86136 pages
% 2.07/15.97 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.07/15.97 eprover: No such file or directory
% 2.07/15.97 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.07/15.97 eprover: No such file or directory
% 2.07/15.98 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.07/15.98 eprover: No such file or directory
% 2.07/15.98 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.07/15.98 eprover: No such file or directory
% 2.07/15.98 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.07/15.98 eprover: No such file or directory
% 2.07/15.99 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.07/15.99 eprover: No such file or directory
% 2.07/15.99 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.07/15.99 eprover: No such file or directory
% 2.07/15.99 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.07/15.99 eprover: No such file or directory
% 2.07/16.00 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.07/16.00 eprover: No such file or directory
% 2.07/16.00 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.07/16.00 eprover: No such file or directory
% 2.07/16.01 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.07/16.01 eprover: No such file or directory
% 2.07/16.23 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.07/16.23 eprover: No such file or directory
% 2.07/16.24 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.07/16.24 eprover: No such file or directory
% 2.07/16.25 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.07/16.25 eprover: No such file or directory
% 2.07/16.25 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.07/16.25 eprover: No such file or directory
% 2.07/16.26 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.07/16.26 eprover: No such file or directory
% 2.07/16.26 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.07/16.26 eprover: No such file or directory
% 2.07/16.27 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.07/16.27 eprover: No such file or directory
% 2.07/16.27 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.07/16.27 eprover: No such file or directory
% 2.07/16.28 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.07/16.28 eprover: No such file or directory
% 2.07/16.29 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.07/16.29 eprover: No such file or directory
% 2.07/16.29 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.07/16.29 eprover: No such file or directory
%------------------------------------------------------------------------------