%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GRP640+1 : TPTP v8.1.0. Released v3.4.0.
% 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 : Sat Jul 16 09:02:41 EDT 2022
% Result : Theorem 0.24s 1.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 10 unt; 0 def)
% Number of atoms : 209 ( 18 equ)
% Maximal formula atoms : 20 ( 7 avg)
% Number of connectives : 281 ( 101 ~; 102 |; 55 &)
% ( 1 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-4 aty)
% Number of variables : 60 ( 0 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(redefinition_r1_group_2,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& v1_group_1(X2)
& m1_group_2(X2,X1)
& v1_group_1(X3)
& m1_group_2(X3,X1) )
=> ( r1_group_2(X1,X2,X3)
<=> X2 = X3 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_r1_group_2) ).
fof(t4_latsubgr,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ! [X3] :
( m1_group_2(X3,X1)
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> ( X4 = k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3))
=> r1_group_2(X1,k8_group_4(X1,X2,X3),k5_group_4(X1,X4)) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t4_latsubgr) ).
fof(dt_k5_group_4,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( v1_group_1(k5_group_4(X1,X2))
& m1_group_2(k5_group_4(X1,X2),X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k5_group_4) ).
fof(dt_k8_group_4,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_group_2(X2,X1)
& m1_group_2(X3,X1) )
=> ( v1_group_1(k8_group_4(X1,X2,X3))
& m1_group_2(k8_group_4(X1,X2,X3),X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k8_group_4) ).
fof(t13_latsubgr,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( m1_group_2(X3,X1)
=> ! [X4] :
( m1_group_2(X4,X1)
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X6] :
( m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X1)))
=> ( X6 = k2_xboole_0(u1_struct_0(X3),u1_struct_0(X4))
=> k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X5,u1_struct_0(k8_group_4(X1,X3,X4))) = k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X5,u1_struct_0(k5_group_4(X1,X6))) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t13_latsubgr) ).
fof(c_0_5,plain,
! [X4,X5,X6] :
( ( ~ r1_group_2(X4,X5,X6)
| X5 = X6
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ~ v1_group_1(X5)
| ~ m1_group_2(X5,X4)
| ~ v1_group_1(X6)
| ~ m1_group_2(X6,X4) )
& ( X5 != X6
| r1_group_2(X4,X5,X6)
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ~ v1_group_1(X5)
| ~ m1_group_2(X5,X4)
| ~ v1_group_1(X6)
| ~ m1_group_2(X6,X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_r1_group_2])])])]) ).
fof(c_0_6,plain,
! [X5,X6,X7,X8] :
( v3_struct_0(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5)
| ~ m1_group_2(X6,X5)
| ~ m1_group_2(X7,X5)
| ~ m1_subset_1(X8,k1_zfmisc_1(u1_struct_0(X5)))
| X8 != k2_xboole_0(u1_struct_0(X6),u1_struct_0(X7))
| r1_group_2(X5,k8_group_4(X5,X6,X7),k5_group_4(X5,X8)) ),
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)],[t4_latsubgr])])])])])]) ).
fof(c_0_7,plain,
! [X3,X4] :
( ( v1_group_1(k5_group_4(X3,X4))
| v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3))) )
& ( m1_group_2(k5_group_4(X3,X4),X3)
| v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k5_group_4])])])]) ).
fof(c_0_8,plain,
! [X4,X5,X6] :
( ( v1_group_1(k8_group_4(X4,X5,X6))
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ~ m1_group_2(X5,X4)
| ~ m1_group_2(X6,X4) )
& ( m1_group_2(k8_group_4(X4,X5,X6),X4)
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ~ m1_group_2(X5,X4)
| ~ m1_group_2(X6,X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k8_group_4])])])]) ).
fof(c_0_9,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( m1_group_2(X3,X1)
=> ! [X4] :
( m1_group_2(X4,X1)
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X6] :
( m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X1)))
=> ( X6 = k2_xboole_0(u1_struct_0(X3),u1_struct_0(X4))
=> k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X5,u1_struct_0(k8_group_4(X1,X3,X4))) = k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X5,u1_struct_0(k5_group_4(X1,X6))) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t13_latsubgr]) ).
cnf(c_0_10,plain,
( v3_struct_0(X2)
| X3 = X1
| ~ m1_group_2(X1,X2)
| ~ v1_group_1(X1)
| ~ m1_group_2(X3,X2)
| ~ v1_group_1(X3)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ r1_group_2(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
( r1_group_2(X1,k8_group_4(X1,X2,X3),k5_group_4(X1,X4))
| v3_struct_0(X1)
| X4 != k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
( v3_struct_0(X2)
| m1_group_2(k5_group_4(X2,X1),X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( v3_struct_0(X2)
| m1_group_2(k8_group_4(X2,X3,X1),X2)
| ~ m1_group_2(X1,X2)
| ~ m1_group_2(X3,X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( v3_struct_0(X2)
| v1_group_1(k5_group_4(X2,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,plain,
( v3_struct_0(X2)
| v1_group_1(k8_group_4(X2,X3,X1))
| ~ m1_group_2(X1,X2)
| ~ m1_group_2(X3,X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_16,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v3_group_1(esk1_0)
& v4_group_1(esk1_0)
& l1_group_1(esk1_0)
& ~ v3_struct_0(esk2_0)
& v3_group_1(esk2_0)
& v4_group_1(esk2_0)
& l1_group_1(esk2_0)
& m1_group_2(esk3_0,esk1_0)
& m1_group_2(esk4_0,esk1_0)
& v1_funct_1(esk5_0)
& v1_funct_2(esk5_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& m2_relset_1(esk5_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& m1_subset_1(esk6_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& esk6_0 = k2_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0))
& k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk5_0,u1_struct_0(k8_group_4(esk1_0,esk3_0,esk4_0))) != k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk5_0,u1_struct_0(k5_group_4(esk1_0,esk6_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_9])])])])])]) ).
cnf(c_0_17,plain,
( k5_group_4(X1,X2) = k8_group_4(X1,X3,X4)
| v3_struct_0(X1)
| X2 != k2_xboole_0(u1_struct_0(X3),u1_struct_0(X4))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_group_2(X4,X1)
| ~ m1_group_2(X3,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[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,negated_conjecture,
k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk5_0,u1_struct_0(k8_group_4(esk1_0,esk3_0,esk4_0))) != k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk5_0,u1_struct_0(k5_group_4(esk1_0,esk6_0))),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,plain,
( k8_group_4(X1,X2,X3) = k5_group_4(X1,k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)))
| v3_struct_0(X1)
| ~ m1_subset_1(k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(er,[status(thm)],[c_0_17]) ).
cnf(c_0_20,negated_conjecture,
esk6_0 = k2_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,negated_conjecture,
m1_subset_1(esk6_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,negated_conjecture,
m1_group_2(esk4_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,negated_conjecture,
m1_group_2(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_27,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_28,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(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_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26])]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP640+1 : TPTP v8.1.0. Released v3.4.0.
% 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 13 21:54:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.24/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.42 # Preprocessing time : 0.019 s
% 0.24/1.42
% 0.24/1.42 # Proof found!
% 0.24/1.42 # SZS status Theorem
% 0.24/1.42 # SZS output start CNFRefutation
% See solution above
% 0.24/1.42 # Proof object total steps : 29
% 0.24/1.42 # Proof object clause steps : 18
% 0.24/1.42 # Proof object formula steps : 11
% 0.24/1.42 # Proof object conjectures : 13
% 0.24/1.42 # Proof object clause conjectures : 10
% 0.24/1.42 # Proof object formula conjectures : 3
% 0.24/1.42 # Proof object initial clauses used : 15
% 0.24/1.42 # Proof object initial formulas used : 5
% 0.24/1.42 # Proof object generating inferences : 3
% 0.24/1.42 # Proof object simplifying inferences : 14
% 0.24/1.42 # Training examples: 0 positive, 0 negative
% 0.24/1.42 # Parsed axioms : 63
% 0.24/1.42 # Removed by relevancy pruning/SinE : 31
% 0.24/1.42 # Initial clauses : 57
% 0.24/1.42 # Removed in clause preprocessing : 0
% 0.24/1.42 # Initial clauses in saturation : 57
% 0.24/1.42 # Processed clauses : 105
% 0.24/1.42 # ...of these trivial : 0
% 0.24/1.42 # ...subsumed : 12
% 0.24/1.42 # ...remaining for further processing : 93
% 0.24/1.42 # Other redundant clauses eliminated : 1
% 0.24/1.42 # Clauses deleted for lack of memory : 0
% 0.24/1.42 # Backward-subsumed : 1
% 0.24/1.42 # Backward-rewritten : 3
% 0.24/1.42 # Generated clauses : 70
% 0.24/1.42 # ...of the previous two non-trivial : 60
% 0.24/1.42 # Contextual simplify-reflections : 4
% 0.24/1.42 # Paramodulations : 68
% 0.24/1.42 # Factorizations : 0
% 0.24/1.42 # Equation resolutions : 2
% 0.24/1.42 # Current number of processed clauses : 88
% 0.24/1.42 # Positive orientable unit clauses : 31
% 0.24/1.42 # Positive unorientable unit clauses: 1
% 0.24/1.42 # Negative unit clauses : 10
% 0.24/1.42 # Non-unit-clauses : 46
% 0.24/1.42 # Current number of unprocessed clauses: 5
% 0.24/1.42 # ...number of literals in the above : 48
% 0.24/1.42 # Current number of archived formulas : 0
% 0.24/1.42 # Current number of archived clauses : 4
% 0.24/1.42 # Clause-clause subsumption calls (NU) : 1279
% 0.24/1.42 # Rec. Clause-clause subsumption calls : 190
% 0.24/1.42 # Non-unit clause-clause subsumptions : 13
% 0.24/1.42 # Unit Clause-clause subsumption calls : 230
% 0.24/1.42 # Rewrite failures with RHS unbound : 0
% 0.24/1.42 # BW rewrite match attempts : 6
% 0.24/1.42 # BW rewrite match successes : 6
% 0.24/1.42 # Condensation attempts : 0
% 0.24/1.42 # Condensation successes : 0
% 0.24/1.42 # Termbank termtop insertions : 5886
% 0.24/1.42
% 0.24/1.42 # -------------------------------------------------
% 0.24/1.42 # User time : 0.022 s
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% 0.24/1.42 # Total time : 0.026 s
% 0.24/1.42 # Maximum resident set size: 3384 pages
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