TSTP Solution File: LAT300+4 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT300+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n018.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 04:46:41 EDT 2022
% Result : Theorem 1.84s 4.03s
% Output : CNFRefutation 1.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 46 ( 17 unt; 0 def)
% Number of atoms : 129 ( 12 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 140 ( 57 ~; 48 |; 24 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 67 ( 8 sgn 36 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t24_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& r2_hidden(X3,X2) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t24_filter_2) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+3.ax',t8_boole) ).
fof(rc1_xboole_0,axiom,
? [X1] : v1_xboole_0(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',rc1_xboole_0) ).
fof(dt_m2_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_m2_filter_2) ).
fof(rc2_subset_1,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',rc2_subset_1) ).
fof(dt_m2_lattice4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',dt_m2_lattice4) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) )
=> m1_subset_1(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t4_subset) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t5_subset) ).
fof(t2_tarski,axiom,
! [X1,X2] :
( ! [X3] :
( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+1.ax',t2_tarski) ).
fof(c_0_9,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& r2_hidden(X3,X2) ) ) ),
inference(assume_negation,[status(cth)],[t24_filter_2]) ).
fof(c_0_10,plain,
! [X3,X4] :
( ~ v1_xboole_0(X3)
| X3 = X4
| ~ v1_xboole_0(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(c_0_11,plain,
v1_xboole_0(esk16_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
fof(c_0_12,plain,
! [X3,X4] :
( ( ~ v1_xboole_0(X4)
| ~ m2_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( m2_lattice4(X4,X3)
| ~ m2_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ) ),
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)],[dt_m2_filter_2])])])])])])]) ).
fof(c_0_13,negated_conjecture,
! [X6] :
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& m2_filter_2(esk2_0,esk1_0)
& ( ~ m1_subset_1(X6,u1_struct_0(esk1_0))
| ~ r2_hidden(X6,esk2_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)],[c_0_9])])])])])])]) ).
cnf(c_0_14,plain,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
v1_xboole_0(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_16,plain,
! [X3] :
( m1_subset_1(esk19_1(X3),k1_zfmisc_1(X3))
& v1_xboole_0(esk19_1(X3)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
fof(c_0_17,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m2_lattice4(X4,X3)
| m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3))) ),
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)],[dt_m2_lattice4])])])])])]) ).
cnf(c_0_18,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_22,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_23,plain,
( X1 = esk16_0
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_24,plain,
v1_xboole_0(esk19_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_25,plain,
! [X4,X5,X6] :
( ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(X6))
| m1_subset_1(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
cnf(c_0_26,plain,
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_27,negated_conjecture,
m2_lattice4(esk2_0,esk1_0),
inference(sr,[status(thm)],[inference(cn,[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_21])]),c_0_22]) ).
fof(c_0_28,plain,
! [X4,X5,X6] :
( ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(X6))
| ~ v1_xboole_0(X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
cnf(c_0_29,plain,
m1_subset_1(esk19_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_30,plain,
esk19_1(X1) = esk16_0,
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_31,plain,
( m1_subset_1(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r2_hidden(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_20]),c_0_21])]),c_0_22]) ).
cnf(c_0_33,negated_conjecture,
( ~ r2_hidden(X1,esk2_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_34,plain,
! [X4,X5] :
( ( ~ r2_hidden(esk3_2(X4,X5),X4)
| ~ r2_hidden(esk3_2(X4,X5),X5)
| X4 = X5 )
& ( r2_hidden(esk3_2(X4,X5),X4)
| r2_hidden(esk3_2(X4,X5),X5)
| X4 = X5 ) ),
inference(distribute,[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)],[t2_tarski])])])])])]) ).
cnf(c_0_35,plain,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,plain,
m1_subset_1(esk16_0,k1_zfmisc_1(X1)),
inference(rw,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_37,negated_conjecture,
~ r2_hidden(X1,esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
cnf(c_0_38,plain,
( X1 = X2
| r2_hidden(esk3_2(X1,X2),X2)
| r2_hidden(esk3_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_39,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,esk16_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,negated_conjecture,
( X1 = esk2_0
| r2_hidden(esk3_2(X1,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_41,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_42,negated_conjecture,
( esk2_0 = esk16_0
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_43,negated_conjecture,
~ v1_xboole_0(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_19]),c_0_20]),c_0_21])]),c_0_22]) ).
cnf(c_0_44,negated_conjecture,
esk2_0 = esk16_0,
inference(spm,[status(thm)],[c_0_42,c_0_15]) ).
cnf(c_0_45,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : LAT300+4 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.11/0.32 % Computer : n018.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Tue Jun 28 22:51:04 EDT 2022
% 0.11/0.33 % CPUTime :
% 1.84/4.03 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 1.84/4.03 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 1.84/4.03 # Preprocessing time : 1.233 s
% 1.84/4.03
% 1.84/4.03 # Proof found!
% 1.84/4.03 # SZS status Theorem
% 1.84/4.03 # SZS output start CNFRefutation
% See solution above
% 1.84/4.03 # Proof object total steps : 46
% 1.84/4.03 # Proof object clause steps : 27
% 1.84/4.03 # Proof object formula steps : 19
% 1.84/4.03 # Proof object conjectures : 16
% 1.84/4.03 # Proof object clause conjectures : 13
% 1.84/4.03 # Proof object formula conjectures : 3
% 1.84/4.03 # Proof object initial clauses used : 15
% 1.84/4.03 # Proof object initial formulas used : 9
% 1.84/4.03 # Proof object generating inferences : 10
% 1.84/4.03 # Proof object simplifying inferences : 17
% 1.84/4.03 # Training examples: 0 positive, 0 negative
% 1.84/4.03 # Parsed axioms : 34682
% 1.84/4.03 # Removed by relevancy pruning/SinE : 34581
% 1.84/4.03 # Initial clauses : 254
% 1.84/4.03 # Removed in clause preprocessing : 2
% 1.84/4.03 # Initial clauses in saturation : 252
% 1.84/4.03 # Processed clauses : 340
% 1.84/4.03 # ...of these trivial : 2
% 1.84/4.03 # ...subsumed : 35
% 1.84/4.03 # ...remaining for further processing : 303
% 1.84/4.03 # Other redundant clauses eliminated : 0
% 1.84/4.03 # Clauses deleted for lack of memory : 0
% 1.84/4.03 # Backward-subsumed : 3
% 1.84/4.03 # Backward-rewritten : 18
% 1.84/4.03 # Generated clauses : 1331
% 1.84/4.03 # ...of the previous two non-trivial : 1269
% 1.84/4.03 # Contextual simplify-reflections : 29
% 1.84/4.03 # Paramodulations : 1328
% 1.84/4.03 # Factorizations : 2
% 1.84/4.03 # Equation resolutions : 1
% 1.84/4.03 # Current number of processed clauses : 282
% 1.84/4.03 # Positive orientable unit clauses : 30
% 1.84/4.03 # Positive unorientable unit clauses: 0
% 1.84/4.03 # Negative unit clauses : 12
% 1.84/4.03 # Non-unit-clauses : 240
% 1.84/4.03 # Current number of unprocessed clauses: 1079
% 1.84/4.03 # ...number of literals in the above : 7484
% 1.84/4.03 # Current number of archived formulas : 0
% 1.84/4.03 # Current number of archived clauses : 21
% 1.84/4.03 # Clause-clause subsumption calls (NU) : 23278
% 1.84/4.03 # Rec. Clause-clause subsumption calls : 2386
% 1.84/4.03 # Non-unit clause-clause subsumptions : 43
% 1.84/4.03 # Unit Clause-clause subsumption calls : 1871
% 1.84/4.03 # Rewrite failures with RHS unbound : 0
% 1.84/4.03 # BW rewrite match attempts : 4
% 1.84/4.03 # BW rewrite match successes : 4
% 1.84/4.03 # Condensation attempts : 0
% 1.84/4.03 # Condensation successes : 0
% 1.84/4.03 # Termbank termtop insertions : 1078252
% 1.84/4.03
% 1.84/4.03 # -------------------------------------------------
% 1.84/4.03 # User time : 1.233 s
% 1.84/4.03 # System time : 0.047 s
% 1.84/4.03 # Total time : 1.280 s
% 1.84/4.03 # Maximum resident set size: 82184 pages
% 1.84/14.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.84/14.59 eprover: No such file or directory
% 1.84/14.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.84/14.59 eprover: No such file or directory
% 1.84/14.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.84/14.60 eprover: No such file or directory
% 1.84/14.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.84/14.61 eprover: No such file or directory
% 1.84/14.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.84/14.61 eprover: No such file or directory
% 1.84/14.62 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.84/14.62 eprover: No such file or directory
% 1.84/14.62 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.84/14.62 eprover: No such file or directory
% 1.84/14.63 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.84/14.63 eprover: No such file or directory
% 1.84/14.64 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.84/14.64 eprover: No such file or directory
% 1.84/14.64 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.84/14.64 eprover: No such file or directory
% 1.84/14.65 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.84/14.65 eprover: No such file or directory
% 1.84/14.85 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.84/14.85 eprover: No such file or directory
% 1.84/14.85 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.84/14.85 eprover: No such file or directory
% 1.84/14.86 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.84/14.86 eprover: No such file or directory
% 1.84/14.86 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.84/14.86 eprover: No such file or directory
% 1.84/14.87 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.84/14.87 eprover: No such file or directory
% 1.84/14.87 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.84/14.87 eprover: No such file or directory
% 1.84/14.88 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.84/14.88 eprover: No such file or directory
% 1.84/14.89 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.84/14.89 eprover: No such file or directory
% 1.84/14.89 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.84/14.89 eprover: No such file or directory
% 1.84/14.90 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.84/14.90 eprover: No such file or directory
% 1.84/14.90 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.84/14.90 eprover: No such file or directory
%------------------------------------------------------------------------------