TSTP Solution File: LAT292+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT292+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n008.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 : Sun Jul 17 04:46:30 EDT 2022
% Result : Theorem 0.21s 1.40s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 7 unt; 0 def)
% Number of atoms : 155 ( 3 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 201 ( 73 ~; 79 |; 43 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 20 ( 0 sgn 11 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t44_lopclset,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ? [X2] :
( ~ v3_struct_0(X2)
& v2_pre_topc(X2)
& l1_pre_topc(X2)
& r1_filter_1(X1,k6_lopclset(X2)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t44_lopclset) ).
fof(t43_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> r1_filter_1(X1,k12_lopclset(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t43_lopclset) ).
fof(d9_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> k12_lopclset(X1) = k6_lopclset(k11_lopclset(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d9_lopclset) ).
fof(dt_k11_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ( v1_pre_topc(k11_lopclset(X1))
& v2_pre_topc(k11_lopclset(X1))
& l1_pre_topc(k11_lopclset(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k11_lopclset) ).
fof(fc4_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k11_lopclset(X1))
& v1_pre_topc(k11_lopclset(X1))
& v2_pre_topc(k11_lopclset(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc4_lopclset) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ? [X2] :
( ~ v3_struct_0(X2)
& v2_pre_topc(X2)
& l1_pre_topc(X2)
& r1_filter_1(X1,k6_lopclset(X2)) ) ),
inference(assume_negation,[status(cth)],[t44_lopclset]) ).
fof(c_0_6,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| v3_realset2(X2)
| ~ l3_lattices(X2)
| r1_filter_1(X2,k12_lopclset(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t43_lopclset])])]) ).
fof(c_0_7,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| v3_realset2(X2)
| ~ l3_lattices(X2)
| k12_lopclset(X2) = k6_lopclset(k11_lopclset(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d9_lopclset])])]) ).
fof(c_0_8,negated_conjecture,
! [X4] :
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& v17_lattices(esk1_0)
& ~ v3_realset2(esk1_0)
& l3_lattices(esk1_0)
& ( v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4)
| ~ r1_filter_1(esk1_0,k6_lopclset(X4)) ) ),
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_5])])])])])])]) ).
cnf(c_0_9,plain,
( r1_filter_1(X1,k12_lopclset(X1))
| v3_realset2(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( k12_lopclset(X1) = k6_lopclset(k11_lopclset(X1))
| v3_realset2(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
( v3_struct_0(X1)
| ~ r1_filter_1(esk1_0,k6_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( r1_filter_1(X1,k6_lopclset(k11_lopclset(X1)))
| v3_realset2(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
v17_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,negated_conjecture,
~ v3_realset2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_18,plain,
! [X2] :
( ( v1_pre_topc(k11_lopclset(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| v3_realset2(X2)
| ~ l3_lattices(X2) )
& ( v2_pre_topc(k11_lopclset(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| v3_realset2(X2)
| ~ l3_lattices(X2) )
& ( l1_pre_topc(k11_lopclset(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| v3_realset2(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k11_lopclset])])])]) ).
cnf(c_0_19,negated_conjecture,
( v3_struct_0(k11_lopclset(esk1_0))
| ~ l1_pre_topc(k11_lopclset(esk1_0))
| ~ v2_pre_topc(k11_lopclset(esk1_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(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14]),c_0_15])]),c_0_16]),c_0_17]) ).
cnf(c_0_20,plain,
( v3_realset2(X1)
| v3_struct_0(X1)
| v2_pre_topc(k11_lopclset(X1))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_21,plain,
! [X2] :
( ( ~ v3_struct_0(k11_lopclset(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| v3_realset2(X2)
| ~ l3_lattices(X2) )
& ( v1_pre_topc(k11_lopclset(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| v3_realset2(X2)
| ~ l3_lattices(X2) )
& ( v2_pre_topc(k11_lopclset(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| v3_realset2(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc4_lopclset])])])]) ).
cnf(c_0_22,negated_conjecture,
( v3_struct_0(k11_lopclset(esk1_0))
| ~ l1_pre_topc(k11_lopclset(esk1_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(spm,[status(thm)],[c_0_19,c_0_20]),c_0_13]),c_0_14]),c_0_15])]),c_0_16]),c_0_17]) ).
cnf(c_0_23,plain,
( v3_realset2(X1)
| v3_struct_0(X1)
| l1_pre_topc(k11_lopclset(X1))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,plain,
( v3_realset2(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(k11_lopclset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,negated_conjecture,
v3_struct_0(k11_lopclset(esk1_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(spm,[status(thm)],[c_0_22,c_0_23]),c_0_13]),c_0_14]),c_0_15])]),c_0_16]),c_0_17]) ).
cnf(c_0_26,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(spm,[status(thm)],[c_0_24,c_0_25]),c_0_13]),c_0_14]),c_0_15])]),c_0_16]),c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT292+1 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.12 % Command : run_ET %s %d
% 0.12/0.32 % Computer : n008.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Wed Jun 29 18:04:08 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.21/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.21/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.21/1.40 # Preprocessing time : 0.017 s
% 0.21/1.40
% 0.21/1.40 # Proof found!
% 0.21/1.40 # SZS status Theorem
% 0.21/1.40 # SZS output start CNFRefutation
% See solution above
% 0.21/1.40 # Proof object total steps : 27
% 0.21/1.40 # Proof object clause steps : 16
% 0.21/1.40 # Proof object formula steps : 11
% 0.21/1.40 # Proof object conjectures : 13
% 0.21/1.40 # Proof object clause conjectures : 10
% 0.21/1.40 # Proof object formula conjectures : 3
% 0.21/1.40 # Proof object initial clauses used : 11
% 0.21/1.40 # Proof object initial formulas used : 5
% 0.21/1.40 # Proof object generating inferences : 5
% 0.21/1.40 # Proof object simplifying inferences : 24
% 0.21/1.40 # Training examples: 0 positive, 0 negative
% 0.21/1.40 # Parsed axioms : 112
% 0.21/1.40 # Removed by relevancy pruning/SinE : 99
% 0.21/1.40 # Initial clauses : 30
% 0.21/1.40 # Removed in clause preprocessing : 0
% 0.21/1.40 # Initial clauses in saturation : 30
% 0.21/1.40 # Processed clauses : 39
% 0.21/1.40 # ...of these trivial : 0
% 0.21/1.40 # ...subsumed : 3
% 0.21/1.40 # ...remaining for further processing : 36
% 0.21/1.40 # Other redundant clauses eliminated : 0
% 0.21/1.40 # Clauses deleted for lack of memory : 0
% 0.21/1.40 # Backward-subsumed : 2
% 0.21/1.40 # Backward-rewritten : 1
% 0.21/1.40 # Generated clauses : 14
% 0.21/1.40 # ...of the previous two non-trivial : 13
% 0.21/1.40 # Contextual simplify-reflections : 0
% 0.21/1.40 # Paramodulations : 14
% 0.21/1.40 # Factorizations : 0
% 0.21/1.40 # Equation resolutions : 0
% 0.21/1.40 # Current number of processed clauses : 33
% 0.21/1.40 # Positive orientable unit clauses : 11
% 0.21/1.40 # Positive unorientable unit clauses: 0
% 0.21/1.40 # Negative unit clauses : 3
% 0.21/1.40 # Non-unit-clauses : 19
% 0.21/1.40 # Current number of unprocessed clauses: 2
% 0.21/1.40 # ...number of literals in the above : 18
% 0.21/1.40 # Current number of archived formulas : 0
% 0.21/1.40 # Current number of archived clauses : 3
% 0.21/1.40 # Clause-clause subsumption calls (NU) : 46
% 0.21/1.40 # Rec. Clause-clause subsumption calls : 7
% 0.21/1.40 # Non-unit clause-clause subsumptions : 5
% 0.21/1.40 # Unit Clause-clause subsumption calls : 12
% 0.21/1.40 # Rewrite failures with RHS unbound : 0
% 0.21/1.40 # BW rewrite match attempts : 1
% 0.21/1.40 # BW rewrite match successes : 1
% 0.21/1.40 # Condensation attempts : 0
% 0.21/1.40 # Condensation successes : 0
% 0.21/1.40 # Termbank termtop insertions : 4111
% 0.21/1.40
% 0.21/1.40 # -------------------------------------------------
% 0.21/1.40 # User time : 0.017 s
% 0.21/1.40 # System time : 0.002 s
% 0.21/1.40 # Total time : 0.019 s
% 0.21/1.40 # Maximum resident set size: 3224 pages
%------------------------------------------------------------------------------