TSTP Solution File: LAT292+2 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : LAT292+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n026.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:08:21 EDT 2023
% Result : Theorem 5.81s 2.30s
% Output : CNFRefutation 5.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 10 unt; 0 def)
% Number of atoms : 177 ( 5 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 222 ( 77 ~; 72 |; 63 &)
% ( 0 <=>; 10 =>; 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 : 23 ( 0 sgn; 15 !; 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/sandbox2/tmp/tmp.347wd3XEXz/E---3.1_30458.p',t44_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/sandbox2/tmp/tmp.347wd3XEXz/E---3.1_30458.p',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/sandbox2/tmp/tmp.347wd3XEXz/E---3.1_30458.p',dt_k11_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/sandbox2/tmp/tmp.347wd3XEXz/E---3.1_30458.p',t43_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/sandbox2/tmp/tmp.347wd3XEXz/E---3.1_30458.p',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(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t44_lopclset])]) ).
fof(c_0_6,plain,
! [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)) ),
inference(fof_simplification,[status(thm)],[d9_lopclset]) ).
fof(c_0_7,plain,
! [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)) ) ),
inference(fof_simplification,[status(thm)],[dt_k11_lopclset]) ).
fof(c_0_8,negated_conjecture,
! [X14] :
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& v17_lattices(esk1_0)
& ~ v3_realset2(esk1_0)
& l3_lattices(esk1_0)
& ( v3_struct_0(X14)
| ~ v2_pre_topc(X14)
| ~ l1_pre_topc(X14)
| ~ r1_filter_1(esk1_0,k6_lopclset(X14)) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
fof(c_0_9,plain,
! [X144] :
( v3_struct_0(X144)
| ~ v10_lattices(X144)
| ~ v17_lattices(X144)
| v3_realset2(X144)
| ~ l3_lattices(X144)
| k12_lopclset(X144) = k6_lopclset(k11_lopclset(X144)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])]) ).
fof(c_0_10,plain,
! [X1143] :
( ( v1_pre_topc(k11_lopclset(X1143))
| v3_struct_0(X1143)
| ~ v10_lattices(X1143)
| ~ v17_lattices(X1143)
| v3_realset2(X1143)
| ~ l3_lattices(X1143) )
& ( v2_pre_topc(k11_lopclset(X1143))
| v3_struct_0(X1143)
| ~ v10_lattices(X1143)
| ~ v17_lattices(X1143)
| v3_realset2(X1143)
| ~ l3_lattices(X1143) )
& ( l1_pre_topc(k11_lopclset(X1143))
| v3_struct_0(X1143)
| ~ v10_lattices(X1143)
| ~ v17_lattices(X1143)
| v3_realset2(X1143)
| ~ l3_lattices(X1143) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
cnf(c_0_11,negated_conjecture,
~ v3_realset2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| k12_lopclset(X1) = k6_lopclset(k11_lopclset(X1))
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,negated_conjecture,
v17_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,plain,
( v2_pre_topc(k11_lopclset(X1))
| v3_struct_0(X1)
| v3_realset2(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,plain,
( l1_pre_topc(k11_lopclset(X1))
| v3_struct_0(X1)
| v3_realset2(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_19,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> r1_filter_1(X1,k12_lopclset(X1)) ),
inference(fof_simplification,[status(thm)],[t43_lopclset]) ).
fof(c_0_20,plain,
! [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)) ) ),
inference(fof_simplification,[status(thm)],[fc4_lopclset]) ).
cnf(c_0_21,negated_conjecture,
( v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ r1_filter_1(esk1_0,k6_lopclset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_22,negated_conjecture,
k6_lopclset(k11_lopclset(esk1_0)) = k12_lopclset(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_11,c_0_12]),c_0_13]),c_0_14]),c_0_15])]),c_0_16]) ).
cnf(c_0_23,negated_conjecture,
v2_pre_topc(k11_lopclset(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_11,c_0_17]),c_0_13]),c_0_14]),c_0_15])]),c_0_16]) ).
cnf(c_0_24,negated_conjecture,
l1_pre_topc(k11_lopclset(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_11,c_0_18]),c_0_13]),c_0_14]),c_0_15])]),c_0_16]) ).
fof(c_0_25,plain,
! [X26] :
( v3_struct_0(X26)
| ~ v10_lattices(X26)
| ~ v17_lattices(X26)
| v3_realset2(X26)
| ~ l3_lattices(X26)
| r1_filter_1(X26,k12_lopclset(X26)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])]) ).
fof(c_0_26,plain,
! [X1144] :
( ( ~ v3_struct_0(k11_lopclset(X1144))
| v3_struct_0(X1144)
| ~ v10_lattices(X1144)
| ~ v17_lattices(X1144)
| v3_realset2(X1144)
| ~ l3_lattices(X1144) )
& ( v1_pre_topc(k11_lopclset(X1144))
| v3_struct_0(X1144)
| ~ v10_lattices(X1144)
| ~ v17_lattices(X1144)
| v3_realset2(X1144)
| ~ l3_lattices(X1144) )
& ( v2_pre_topc(k11_lopclset(X1144))
| v3_struct_0(X1144)
| ~ v10_lattices(X1144)
| ~ v17_lattices(X1144)
| v3_realset2(X1144)
| ~ l3_lattices(X1144) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
cnf(c_0_27,negated_conjecture,
( v3_struct_0(k11_lopclset(esk1_0))
| ~ r1_filter_1(esk1_0,k12_lopclset(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24])]) ).
cnf(c_0_28,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| r1_filter_1(X1,k12_lopclset(X1))
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_29,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| ~ v3_struct_0(k11_lopclset(X1))
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_30,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_27,c_0_28]),c_0_13]),c_0_14]),c_0_15])]),c_0_11]),c_0_16]) ).
cnf(c_0_31,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_29,c_0_30]),c_0_13]),c_0_14]),c_0_15])]),c_0_11]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.50 % Problem : LAT292+2 : TPTP v8.1.2. Released v3.4.0.
% 0.51/0.51 % Command : run_E %s %d THM
% 0.52/0.72 % Computer : n026.cluster.edu
% 0.52/0.72 % Model : x86_64 x86_64
% 0.52/0.72 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.52/0.72 % Memory : 8042.1875MB
% 0.52/0.72 % OS : Linux 3.10.0-693.el7.x86_64
% 0.52/0.72 % CPULimit : 2400
% 0.52/0.72 % WCLimit : 300
% 0.52/0.72 % DateTime : Mon Oct 2 10:31:00 EDT 2023
% 0.52/0.72 % CPUTime :
% 1.35/1.52 Running first-order theorem proving
% 1.35/1.52 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.347wd3XEXz/E---3.1_30458.p
% 5.81/2.30 # Version: 3.1pre001
% 5.81/2.30 # Preprocessing class: FMLLSMLLSSSNFFN.
% 5.81/2.30 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.81/2.30 # Starting new_bool_3 with 900s (3) cores
% 5.81/2.30 # Starting new_bool_1 with 900s (3) cores
% 5.81/2.30 # Starting sh5l with 300s (1) cores
% 5.81/2.30 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 5.81/2.30 # new_bool_1 with pid 30954 completed with status 0
% 5.81/2.30 # Result found by new_bool_1
% 5.81/2.30 # Preprocessing class: FMLLSMLLSSSNFFN.
% 5.81/2.30 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.81/2.30 # Starting new_bool_3 with 900s (3) cores
% 5.81/2.30 # Starting new_bool_1 with 900s (3) cores
% 5.81/2.30 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 5.81/2.30 # Search class: FGHSM-SMLM32-MFFFFFNN
% 5.81/2.30 # Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 5.81/2.30 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 68s (1) cores
% 5.81/2.30 # Starting new_bool_1 with 91s (1) cores
% 5.81/2.30 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 68s (1) cores
% 5.81/2.30 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 31018 completed with status 0
% 5.81/2.30 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 5.81/2.30 # Preprocessing class: FMLLSMLLSSSNFFN.
% 5.81/2.30 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.81/2.30 # Starting new_bool_3 with 900s (3) cores
% 5.81/2.30 # Starting new_bool_1 with 900s (3) cores
% 5.81/2.30 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 5.81/2.30 # Search class: FGHSM-SMLM32-MFFFFFNN
% 5.81/2.30 # Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 5.81/2.30 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 68s (1) cores
% 5.81/2.30 # Preprocessing time : 0.026 s
% 5.81/2.30 # Presaturation interreduction done
% 5.81/2.30
% 5.81/2.30 # Proof found!
% 5.81/2.30 # SZS status Theorem
% 5.81/2.30 # SZS output start CNFRefutation
% See solution above
% 5.81/2.30 # Parsed axioms : 6468
% 5.81/2.30 # Removed by relevancy pruning/SinE : 5660
% 5.81/2.30 # Initial clauses : 1738
% 5.81/2.30 # Removed in clause preprocessing : 51
% 5.81/2.30 # Initial clauses in saturation : 1687
% 5.81/2.30 # Processed clauses : 6552
% 5.81/2.30 # ...of these trivial : 208
% 5.81/2.30 # ...subsumed : 2666
% 5.81/2.30 # ...remaining for further processing : 3678
% 5.81/2.30 # Other redundant clauses eliminated : 124
% 5.81/2.30 # Clauses deleted for lack of memory : 0
% 5.81/2.30 # Backward-subsumed : 27
% 5.81/2.30 # Backward-rewritten : 68
% 5.81/2.30 # Generated clauses : 14930
% 5.81/2.30 # ...of the previous two non-redundant : 12036
% 5.81/2.30 # ...aggressively subsumed : 0
% 5.81/2.30 # Contextual simplify-reflections : 85
% 5.81/2.30 # Paramodulations : 14816
% 5.81/2.30 # Factorizations : 0
% 5.81/2.30 # NegExts : 0
% 5.81/2.30 # Equation resolutions : 129
% 5.81/2.30 # Total rewrite steps : 5972
% 5.81/2.30 # Propositional unsat checks : 0
% 5.81/2.30 # Propositional check models : 0
% 5.81/2.30 # Propositional check unsatisfiable : 0
% 5.81/2.30 # Propositional clauses : 0
% 5.81/2.30 # Propositional clauses after purity: 0
% 5.81/2.30 # Propositional unsat core size : 0
% 5.81/2.30 # Propositional preprocessing time : 0.000
% 5.81/2.30 # Propositional encoding time : 0.000
% 5.81/2.30 # Propositional solver time : 0.000
% 5.81/2.30 # Success case prop preproc time : 0.000
% 5.81/2.30 # Success case prop encoding time : 0.000
% 5.81/2.30 # Success case prop solver time : 0.000
% 5.81/2.30 # Current number of processed clauses : 1949
% 5.81/2.30 # Positive orientable unit clauses : 599
% 5.81/2.30 # Positive unorientable unit clauses: 2
% 5.81/2.30 # Negative unit clauses : 443
% 5.81/2.30 # Non-unit-clauses : 905
% 5.81/2.30 # Current number of unprocessed clauses: 8656
% 5.81/2.30 # ...number of literals in the above : 17505
% 5.81/2.30 # Current number of archived formulas : 0
% 5.81/2.30 # Current number of archived clauses : 1635
% 5.81/2.30 # Clause-clause subsumption calls (NU) : 1388027
% 5.81/2.30 # Rec. Clause-clause subsumption calls : 296166
% 5.81/2.30 # Non-unit clause-clause subsumptions : 493
% 5.81/2.30 # Unit Clause-clause subsumption calls : 139176
% 5.81/2.30 # Rewrite failures with RHS unbound : 0
% 5.81/2.30 # BW rewrite match attempts : 396
% 5.81/2.30 # BW rewrite match successes : 198
% 5.81/2.30 # Condensation attempts : 0
% 5.81/2.30 # Condensation successes : 0
% 5.81/2.30 # Termbank termtop insertions : 378256
% 5.81/2.30
% 5.81/2.30 # -------------------------------------------------
% 5.81/2.30 # User time : 0.623 s
% 5.81/2.30 # System time : 0.033 s
% 5.81/2.30 # Total time : 0.656 s
% 5.81/2.30 # Maximum resident set size: 14944 pages
% 5.81/2.30
% 5.81/2.30 # -------------------------------------------------
% 5.81/2.30 # User time : 1.726 s
% 5.81/2.30 # System time : 0.065 s
% 5.81/2.30 # Total time : 1.791 s
% 5.81/2.30 # Maximum resident set size: 9960 pages
% 5.81/2.30 % E---3.1 exiting
% 5.81/2.30 % E---3.1 exiting
%------------------------------------------------------------------------------