TSTP Solution File: GRP618+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GRP618+1 : TPTP v8.1.0. Released v3.4.0.
% 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 : Sat Jul 16 09:02:24 EDT 2022
% Result : Theorem 0.22s 1.40s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 28 ( 9 unt; 0 def)
% Number of atoms : 176 ( 0 equ)
% Maximal formula atoms : 32 ( 6 avg)
% Number of connectives : 238 ( 90 ~; 95 |; 29 &)
% ( 2 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 38 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t1_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_group_2(X2,X1)
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( m1_subset_1(X4,u1_struct_0(X2))
=> r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) )
<=> v1_group_3(X2,X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t1_autgroup) ).
fof(l2_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_group_2(X2,X1)
=> ( v1_group_3(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( m1_subset_1(X4,u1_struct_0(X2))
=> r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l2_autgroup) ).
fof(l1_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_group_2(X2,X1)
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( m1_subset_1(X4,u1_struct_0(X2))
=> r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) )
=> v1_group_3(X2,X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l1_autgroup) ).
fof(c_0_3,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_group_2(X2,X1)
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( m1_subset_1(X4,u1_struct_0(X2))
=> r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) )
<=> v1_group_3(X2,X1) ) ) ),
inference(assume_negation,[status(cth)],[t1_autgroup]) ).
fof(c_0_4,negated_conjecture,
! [X9,X10] :
( ~ 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_group_2(esk2_0,esk1_0)
& ( m1_subset_1(esk3_0,u1_struct_0(esk1_0))
| ~ v1_group_3(esk2_0,esk1_0) )
& ( m1_subset_1(esk4_0,u1_struct_0(esk1_0))
| ~ v1_group_3(esk2_0,esk1_0) )
& ( m1_subset_1(esk4_0,u1_struct_0(esk2_0))
| ~ v1_group_3(esk2_0,esk1_0) )
& ( ~ r1_rlvect_1(esk2_0,k2_group_3(esk1_0,esk4_0,esk3_0))
| ~ v1_group_3(esk2_0,esk1_0) )
& ( ~ m1_subset_1(X9,u1_struct_0(esk1_0))
| ~ m1_subset_1(X10,u1_struct_0(esk1_0))
| ~ m1_subset_1(X10,u1_struct_0(esk2_0))
| r1_rlvect_1(esk2_0,k2_group_3(esk1_0,X10,X9))
| v1_group_3(esk2_0,esk1_0) ) ),
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)],[inference(fof_simplification,[status(thm)],[c_0_3])])])])])])])]) ).
fof(c_0_5,plain,
! [X5,X6,X7,X8] :
( v3_struct_0(X5)
| ~ v1_group_1(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5)
| ~ m1_group_2(X6,X5)
| ~ v1_group_3(X6,X5)
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ m1_subset_1(X8,u1_struct_0(X5))
| ~ m1_subset_1(X8,u1_struct_0(X6))
| r1_rlvect_1(X6,k2_group_3(X5,X8,X7)) ),
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)],[l2_autgroup])])])])])]) ).
fof(c_0_6,plain,
! [X5,X6] :
( ( m1_subset_1(esk6_2(X5,X6),u1_struct_0(X5))
| v1_group_3(X6,X5)
| ~ m1_group_2(X6,X5)
| v3_struct_0(X5)
| ~ v1_group_1(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5) )
& ( m1_subset_1(esk7_2(X5,X6),u1_struct_0(X5))
| v1_group_3(X6,X5)
| ~ m1_group_2(X6,X5)
| v3_struct_0(X5)
| ~ v1_group_1(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5) )
& ( m1_subset_1(esk7_2(X5,X6),u1_struct_0(X6))
| v1_group_3(X6,X5)
| ~ m1_group_2(X6,X5)
| v3_struct_0(X5)
| ~ v1_group_1(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5) )
& ( ~ r1_rlvect_1(X6,k2_group_3(X5,esk7_2(X5,X6),esk6_2(X5,X6)))
| v1_group_3(X6,X5)
| ~ m1_group_2(X6,X5)
| v3_struct_0(X5)
| ~ v1_group_1(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5) ) ),
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)],[inference(fof_simplification,[status(thm)],[l1_autgroup])])])])])])])]) ).
cnf(c_0_7,negated_conjecture,
( ~ v1_group_3(esk2_0,esk1_0)
| ~ r1_rlvect_1(esk2_0,k2_group_3(esk1_0,esk4_0,esk3_0)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( r1_rlvect_1(X1,k2_group_3(X2,X3,X4))
| v3_struct_0(X2)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_group_3(X1,X2)
| ~ m1_group_2(X1,X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
m1_group_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,negated_conjecture,
v1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_14,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_15,negated_conjecture,
( m1_subset_1(esk4_0,u1_struct_0(esk2_0))
| ~ v1_group_3(esk2_0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,negated_conjecture,
( m1_subset_1(esk4_0,u1_struct_0(esk1_0))
| ~ v1_group_3(esk2_0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_17,negated_conjecture,
( m1_subset_1(esk3_0,u1_struct_0(esk1_0))
| ~ v1_group_3(esk2_0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_18,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ r1_rlvect_1(X2,k2_group_3(X1,esk7_2(X1,X2),esk6_2(X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,negated_conjecture,
( v1_group_3(esk2_0,esk1_0)
| r1_rlvect_1(esk2_0,k2_group_3(esk1_0,X1,X2))
| ~ m1_subset_1(X1,u1_struct_0(esk2_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_20,negated_conjecture,
~ v1_group_3(esk2_0,esk1_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[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_7,c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12]),c_0_13])]),c_0_14]),c_0_15]),c_0_16]),c_0_17]) ).
cnf(c_0_21,negated_conjecture,
( ~ m1_subset_1(esk6_2(esk1_0,esk2_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(esk7_2(esk1_0,esk2_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(esk7_2(esk1_0,esk2_0),u1_struct_0(esk2_0)) ),
inference(sr,[status(thm)],[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_18,c_0_19]),c_0_9]),c_0_10]),c_0_11]),c_0_12]),c_0_13])]),c_0_14]),c_0_20]) ).
cnf(c_0_22,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| m1_subset_1(esk6_2(X1,X2),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_23,negated_conjecture,
( ~ m1_subset_1(esk7_2(esk1_0,esk2_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(esk7_2(esk1_0,esk2_0),u1_struct_0(esk2_0)) ),
inference(sr,[status(thm)],[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_21,c_0_22]),c_0_9]),c_0_10]),c_0_11]),c_0_12]),c_0_13])]),c_0_20]),c_0_14]) ).
cnf(c_0_24,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| m1_subset_1(esk7_2(X1,X2),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_25,negated_conjecture,
~ m1_subset_1(esk7_2(esk1_0,esk2_0),u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[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_23,c_0_24]),c_0_9]),c_0_10]),c_0_11]),c_0_12]),c_0_13])]),c_0_20]),c_0_14]) ).
cnf(c_0_26,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| m1_subset_1(esk7_2(X1,X2),u1_struct_0(X2))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(sr,[status(thm)],[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_25,c_0_26]),c_0_9]),c_0_10]),c_0_11]),c_0_12]),c_0_13])]),c_0_20]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP618+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % 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 : Mon Jun 13 19:58:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.40 # Preprocessing time : 0.019 s
% 0.22/1.40
% 0.22/1.40 # Proof found!
% 0.22/1.40 # SZS status Theorem
% 0.22/1.40 # SZS output start CNFRefutation
% See solution above
% 0.22/1.40 # Proof object total steps : 28
% 0.22/1.40 # Proof object clause steps : 21
% 0.22/1.40 # Proof object formula steps : 7
% 0.22/1.40 # Proof object conjectures : 19
% 0.22/1.40 # Proof object clause conjectures : 16
% 0.22/1.40 # Proof object formula conjectures : 3
% 0.22/1.40 # Proof object initial clauses used : 16
% 0.22/1.40 # Proof object initial formulas used : 3
% 0.22/1.40 # Proof object generating inferences : 5
% 0.22/1.40 # Proof object simplifying inferences : 42
% 0.22/1.40 # Training examples: 0 positive, 0 negative
% 0.22/1.40 # Parsed axioms : 61
% 0.22/1.40 # Removed by relevancy pruning/SinE : 46
% 0.22/1.40 # Initial clauses : 50
% 0.22/1.40 # Removed in clause preprocessing : 1
% 0.22/1.40 # Initial clauses in saturation : 49
% 0.22/1.40 # Processed clauses : 63
% 0.22/1.40 # ...of these trivial : 0
% 0.22/1.40 # ...subsumed : 2
% 0.22/1.40 # ...remaining for further processing : 61
% 0.22/1.40 # Other redundant clauses eliminated : 0
% 0.22/1.40 # Clauses deleted for lack of memory : 0
% 0.22/1.40 # Backward-subsumed : 1
% 0.22/1.40 # Backward-rewritten : 0
% 0.22/1.40 # Generated clauses : 23
% 0.22/1.40 # ...of the previous two non-trivial : 20
% 0.22/1.40 # Contextual simplify-reflections : 3
% 0.22/1.40 # Paramodulations : 23
% 0.22/1.40 # Factorizations : 0
% 0.22/1.40 # Equation resolutions : 0
% 0.22/1.40 # Current number of processed clauses : 60
% 0.22/1.40 # Positive orientable unit clauses : 19
% 0.22/1.40 # Positive unorientable unit clauses: 0
% 0.22/1.40 # Negative unit clauses : 6
% 0.22/1.40 # Non-unit-clauses : 35
% 0.22/1.40 # Current number of unprocessed clauses: 6
% 0.22/1.40 # ...number of literals in the above : 30
% 0.22/1.40 # Current number of archived formulas : 0
% 0.22/1.40 # Current number of archived clauses : 1
% 0.22/1.40 # Clause-clause subsumption calls (NU) : 832
% 0.22/1.40 # Rec. Clause-clause subsumption calls : 39
% 0.22/1.40 # Non-unit clause-clause subsumptions : 6
% 0.22/1.40 # Unit Clause-clause subsumption calls : 22
% 0.22/1.40 # Rewrite failures with RHS unbound : 0
% 0.22/1.40 # BW rewrite match attempts : 0
% 0.22/1.40 # BW rewrite match successes : 0
% 0.22/1.40 # Condensation attempts : 0
% 0.22/1.40 # Condensation successes : 0
% 0.22/1.40 # Termbank termtop insertions : 4493
% 0.22/1.40
% 0.22/1.40 # -------------------------------------------------
% 0.22/1.40 # User time : 0.021 s
% 0.22/1.40 # System time : 0.002 s
% 0.22/1.40 # Total time : 0.023 s
% 0.22/1.40 # Maximum resident set size: 3084 pages
%------------------------------------------------------------------------------