%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GRP629+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.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 09:02:33 EDT 2022
% Result : Theorem 0.44s 2.63s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 9 unt; 0 def)
% Number of atoms : 125 ( 22 equ)
% Maximal formula atoms : 25 ( 5 avg)
% Number of connectives : 166 ( 65 ~; 61 |; 28 &)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-5 aty)
% Number of variables : 32 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t26_autgroup,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,k3_group_1(X1,X2)),k6_autgroup(X1,X2)) = k6_autgroup(X1,k2_group_1(X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t26_autgroup) ).
fof(d6_group_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( X3 = k3_group_1(X1,X2)
<=> ( k1_group_1(X1,X2,X3) = k2_group_1(X1)
& k1_group_1(X1,X3,X2) = k2_group_1(X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',d6_group_1) ).
fof(dt_k3_group_1,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',dt_k3_group_1) ).
fof(t23_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k6_autgroup(X1,k1_group_1(X1,X2,X3)) = k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,X3)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t23_autgroup) ).
fof(c_0_4,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,k3_group_1(X1,X2)),k6_autgroup(X1,X2)) = k6_autgroup(X1,k2_group_1(X1)) ) ),
inference(assume_negation,[status(cth)],[t26_autgroup]) ).
fof(c_0_5,plain,
! [X4,X5,X6] :
( ( k1_group_1(X4,X5,X6) = k2_group_1(X4)
| X6 != k3_group_1(X4,X5)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( k1_group_1(X4,X6,X5) = k2_group_1(X4)
| X6 != k3_group_1(X4,X5)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( k1_group_1(X4,X5,X6) != k2_group_1(X4)
| k1_group_1(X4,X6,X5) != k2_group_1(X4)
| X6 = k3_group_1(X4,X5)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) ) ),
inference(distribute,[status(thm)],[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)],[d6_group_1])])])])])])]) ).
fof(c_0_6,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| m1_subset_1(k3_group_1(X3,X4),u1_struct_0(X3)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k3_group_1])])]) ).
fof(c_0_7,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v1_group_1(esk1_0)
& v3_group_1(esk1_0)
& v4_group_1(esk1_0)
& l1_group_1(esk1_0)
& m1_subset_1(esk2_0,u1_struct_0(esk1_0))
& k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0)),k6_autgroup(esk1_0,esk2_0)) != k6_autgroup(esk1_0,k2_group_1(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)],[inference(fof_simplification,[status(thm)],[c_0_4])])])])])]) ).
cnf(c_0_8,plain,
( v3_struct_0(X1)
| k1_group_1(X1,X3,X2) = k2_group_1(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| X3 != k3_group_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0)),k6_autgroup(esk1_0,esk2_0)) != k6_autgroup(esk1_0,k2_group_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( k1_group_1(X1,k3_group_1(X1,X2),X2) = k2_group_1(X1)
| v3_struct_0(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_8]),c_0_9]) ).
cnf(c_0_12,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_16,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ v1_group_1(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| k6_autgroup(X4,k1_group_1(X4,X5,X6)) = k7_funct_2(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X4),k6_autgroup(X4,X5),k6_autgroup(X4,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)],[inference(fof_simplification,[status(thm)],[t23_autgroup])])])])])]) ).
cnf(c_0_17,negated_conjecture,
( k6_autgroup(esk1_0,k1_group_1(esk1_0,k3_group_1(esk1_0,X1),X1)) != k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0)),k6_autgroup(esk1_0,esk2_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13]),c_0_14])]),c_0_15]) ).
cnf(c_0_18,plain,
( k6_autgroup(X1,k1_group_1(X1,X2,X3)) = k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,X3))
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,negated_conjecture,
v1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_20,negated_conjecture,
( k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,k3_group_1(esk1_0,X1)),k6_autgroup(esk1_0,X1)) != k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0)),k6_autgroup(esk1_0,esk2_0))
| ~ m1_subset_1(k3_group_1(esk1_0,X1),u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_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(spm,[status(thm)],[c_0_17,c_0_18]),c_0_12]),c_0_13]),c_0_19]),c_0_14])]),c_0_15]) ).
cnf(c_0_21,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_22,negated_conjecture,
~ m1_subset_1(k3_group_1(esk1_0,esk2_0),u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_20]),c_0_21])]) ).
cnf(c_0_23,negated_conjecture,
$false,
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(spm,[status(thm)],[c_0_22,c_0_9]),c_0_12]),c_0_13]),c_0_14]),c_0_21])]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP629+2 : TPTP v8.1.0. Released v3.4.0.
% 0.08/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n021.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 : Mon Jun 13 20:32:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.44/2.63 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.44/2.63 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.44/2.63 # Preprocessing time : 0.154 s
% 0.44/2.63
% 0.44/2.63 # Proof found!
% 0.44/2.63 # SZS status Theorem
% 0.44/2.63 # SZS output start CNFRefutation
% See solution above
% 0.44/2.63 # Proof object total steps : 24
% 0.44/2.63 # Proof object clause steps : 15
% 0.44/2.63 # Proof object formula steps : 9
% 0.44/2.63 # Proof object conjectures : 14
% 0.44/2.63 # Proof object clause conjectures : 11
% 0.44/2.63 # Proof object formula conjectures : 3
% 0.44/2.63 # Proof object initial clauses used : 10
% 0.44/2.63 # Proof object initial formulas used : 4
% 0.44/2.63 # Proof object generating inferences : 5
% 0.44/2.63 # Proof object simplifying inferences : 20
% 0.44/2.63 # Training examples: 0 positive, 0 negative
% 0.44/2.63 # Parsed axioms : 3841
% 0.44/2.63 # Removed by relevancy pruning/SinE : 3740
% 0.44/2.63 # Initial clauses : 297
% 0.44/2.63 # Removed in clause preprocessing : 16
% 0.44/2.63 # Initial clauses in saturation : 281
% 0.44/2.63 # Processed clauses : 6551
% 0.44/2.63 # ...of these trivial : 96
% 0.44/2.63 # ...subsumed : 5325
% 0.44/2.63 # ...remaining for further processing : 1130
% 0.44/2.63 # Other redundant clauses eliminated : 595
% 0.44/2.63 # Clauses deleted for lack of memory : 0
% 0.44/2.63 # Backward-subsumed : 81
% 0.44/2.63 # Backward-rewritten : 0
% 0.44/2.63 # Generated clauses : 49919
% 0.44/2.63 # ...of the previous two non-trivial : 45009
% 0.44/2.63 # Contextual simplify-reflections : 5413
% 0.44/2.63 # Paramodulations : 49263
% 0.44/2.63 # Factorizations : 0
% 0.44/2.63 # Equation resolutions : 657
% 0.44/2.63 # Current number of processed clauses : 1045
% 0.44/2.63 # Positive orientable unit clauses : 11
% 0.44/2.63 # Positive unorientable unit clauses: 0
% 0.44/2.63 # Negative unit clauses : 7
% 0.44/2.63 # Non-unit-clauses : 1027
% 0.44/2.63 # Current number of unprocessed clauses: 37567
% 0.44/2.63 # ...number of literals in the above : 289523
% 0.44/2.63 # Current number of archived formulas : 0
% 0.44/2.63 # Current number of archived clauses : 81
% 0.44/2.63 # Clause-clause subsumption calls (NU) : 697798
% 0.44/2.63 # Rec. Clause-clause subsumption calls : 345574
% 0.44/2.63 # Non-unit clause-clause subsumptions : 6840
% 0.44/2.63 # Unit Clause-clause subsumption calls : 570
% 0.44/2.63 # Rewrite failures with RHS unbound : 0
% 0.44/2.63 # BW rewrite match attempts : 0
% 0.44/2.63 # BW rewrite match successes : 0
% 0.44/2.63 # Condensation attempts : 0
% 0.44/2.63 # Condensation successes : 0
% 0.44/2.63 # Termbank termtop insertions : 1782097
% 0.44/2.63
% 0.44/2.63 # -------------------------------------------------
% 0.44/2.63 # User time : 1.605 s
% 0.44/2.63 # System time : 0.030 s
% 0.44/2.63 # Total time : 1.635 s
% 0.44/2.63 # Maximum resident set size: 47244 pages
% 0.44/23.62 eprover: CPU time limit exceeded, terminating
% 0.44/23.64 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/23.64 eprover: No such file or directory
% 0.44/23.65 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/23.65 eprover: No such file or directory
% 0.44/23.66 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/23.66 eprover: No such file or directory
% 0.44/23.66 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/23.66 eprover: No such file or directory
% 0.44/23.67 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/23.67 eprover: No such file or directory
% 0.44/23.67 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/23.67 eprover: No such file or directory
% 0.44/23.68 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/23.68 eprover: No such file or directory
% 0.44/23.69 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/23.69 eprover: No such file or directory
% 0.44/23.69 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/23.69 eprover: No such file or directory
% 0.44/23.70 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/23.70 eprover: No such file or directory
% 0.44/23.70 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/23.70 eprover: No such file or directory
%------------------------------------------------------------------------------