%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : LAT292+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:06:01 PM UTC 2026
% Result : Theorem 21.36s 4.62s
% Output : CNFRefutation 21.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 6 unt; 0 def)
% Number of atoms : 189 ( 4 equ)
% Maximal formula atoms : 18 ( 6 avg)
% Number of connectives : 246 ( 86 ~; 79 |; 70 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 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 : 26 ( 0 sgn 16 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t44_lopclset,conjecture,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ? [X2] :
( r1_filter_1(X1,k6_lopclset(X2))
& l1_pre_topc(X2)
& v2_pre_topc(X2)
& ~ v3_struct_0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_lopclset) ).
fof(d9_lopclset,axiom,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k12_lopclset(X1) = k6_lopclset(k11_lopclset(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_lopclset) ).
fof(t43_lopclset,axiom,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> r1_filter_1(X1,k12_lopclset(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t43_lopclset) ).
fof(dt_k11_lopclset,axiom,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( l1_pre_topc(k11_lopclset(X1))
& v2_pre_topc(k11_lopclset(X1))
& v1_pre_topc(k11_lopclset(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_lopclset) ).
fof(fc4_lopclset,axiom,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v2_pre_topc(k11_lopclset(X1))
& v1_pre_topc(k11_lopclset(X1))
& ~ v3_struct_0(k11_lopclset(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_lopclset) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ? [X2] :
( r1_filter_1(X1,k6_lopclset(X2))
& l1_pre_topc(X2)
& v2_pre_topc(X2)
& ~ v3_struct_0(X2) ) ),
inference(assume_negation,[status(cth)],[t44_lopclset]) ).
fof(c_0_6,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ? [X2] :
( r1_filter_1(X1,k6_lopclset(X2))
& l1_pre_topc(X2)
& v2_pre_topc(X2)
& ~ v3_struct_0(X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_7,plain,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k12_lopclset(X1) = k6_lopclset(k11_lopclset(X1)) ),
inference(fof_simplification,[status(thm)],[d9_lopclset]) ).
fof(c_0_8,negated_conjecture,
! [X14] :
( ( ~ r1_filter_1(esk1_0,k6_lopclset(X14))
| ~ l1_pre_topc(X14)
| ~ v2_pre_topc(X14)
| v3_struct_0(X14) )
& l3_lattices(esk1_0)
& ~ v3_realset2(esk1_0)
& v17_lattices(esk1_0)
& v10_lattices(esk1_0)
& ~ v3_struct_0(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])]) ).
fof(c_0_9,plain,
! [X144] :
( k12_lopclset(X144) = k6_lopclset(k11_lopclset(X144))
| ~ l3_lattices(X144)
| v3_realset2(X144)
| ~ v17_lattices(X144)
| ~ v10_lattices(X144)
| v3_struct_0(X144) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_10,plain,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> r1_filter_1(X1,k12_lopclset(X1)) ),
inference(fof_simplification,[status(thm)],[t43_lopclset]) ).
fof(c_0_11,plain,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( l1_pre_topc(k11_lopclset(X1))
& v2_pre_topc(k11_lopclset(X1))
& v1_pre_topc(k11_lopclset(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k11_lopclset]) ).
fof(c_0_12,plain,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v2_pre_topc(k11_lopclset(X1))
& v1_pre_topc(k11_lopclset(X1))
& ~ v3_struct_0(k11_lopclset(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc4_lopclset]) ).
cnf(c_0_13,negated_conjecture,
( ~ r1_filter_1(esk1_0,k6_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| k12_lopclset(X1) = k6_lopclset(k11_lopclset(X1))
| v3_realset2(X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_15,plain,
! [X26] :
( r1_filter_1(X26,k12_lopclset(X26))
| ~ l3_lattices(X26)
| v3_realset2(X26)
| ~ v17_lattices(X26)
| ~ v10_lattices(X26)
| v3_struct_0(X26) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_16,plain,
! [X1143] :
( ( ~ l3_lattices(X1143)
| v3_realset2(X1143)
| ~ v17_lattices(X1143)
| ~ v10_lattices(X1143)
| v3_struct_0(X1143)
| l1_pre_topc(k11_lopclset(X1143)) )
& ( ~ l3_lattices(X1143)
| v3_realset2(X1143)
| ~ v17_lattices(X1143)
| ~ v10_lattices(X1143)
| v3_struct_0(X1143)
| v2_pre_topc(k11_lopclset(X1143)) )
& ( ~ l3_lattices(X1143)
| v3_realset2(X1143)
| ~ v17_lattices(X1143)
| ~ v10_lattices(X1143)
| v3_struct_0(X1143)
| v1_pre_topc(k11_lopclset(X1143)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).
fof(c_0_17,plain,
! [X1144] :
( ( ~ l3_lattices(X1144)
| v3_realset2(X1144)
| ~ v17_lattices(X1144)
| ~ v10_lattices(X1144)
| v3_struct_0(X1144)
| v2_pre_topc(k11_lopclset(X1144)) )
& ( ~ l3_lattices(X1144)
| v3_realset2(X1144)
| ~ v17_lattices(X1144)
| ~ v10_lattices(X1144)
| v3_struct_0(X1144)
| v1_pre_topc(k11_lopclset(X1144)) )
& ( ~ l3_lattices(X1144)
| v3_realset2(X1144)
| ~ v17_lattices(X1144)
| ~ v10_lattices(X1144)
| v3_struct_0(X1144)
| ~ v3_struct_0(k11_lopclset(X1144)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).
cnf(c_0_18,negated_conjecture,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l1_pre_topc(k11_lopclset(X1))
| ~ v2_pre_topc(k11_lopclset(X1))
| ~ r1_filter_1(esk1_0,k12_lopclset(X1))
| v3_struct_0(X1)
| v3_realset2(X1)
| v3_struct_0(k11_lopclset(X1)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,plain,
( ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| r1_filter_1(X1,k12_lopclset(X1))
| v3_realset2(X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
( ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_realset2(X1)
| v3_struct_0(X1)
| v2_pre_topc(k11_lopclset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
( ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_realset2(X1)
| v3_struct_0(X1)
| l1_pre_topc(k11_lopclset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
( ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(k11_lopclset(X1))
| v3_realset2(X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,negated_conjecture,
~ v3_realset2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_24,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_25,negated_conjecture,
v17_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_26,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_27,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_28,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_18,c_0_19,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
% 0.00/0.05 % Problem : LAT292+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.47 % Computer : n007.cluster.edu
% 0.20/0.47 % Model : x86_64 x86_64
% 0.20/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.47 % Memory : 8046.5625MB
% 0.20/0.47 % OS : Linux 6.8.0-71-generic
% 0.20/0.47 % CPULimit : 300
% 0.20/0.47 % WCLimit : 300
% 0.20/0.47 % DateTime : Sun Sep 20 23:26:21 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.47 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.56 Running first-order theorem proving
% 0.24/0.56 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/benchmark/theBenchmark.p
% 21.36/4.62 % Version: 3.5.1
% 21.36/4.62 % Preprocessing class: FMLLSMLLSSSNFFN.
% 21.36/4.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.36/4.62 % Starting new_bool_3 with 900s (3) cores
% 21.36/4.62 % Starting new_bool_1 with 900s (3) cores
% 21.36/4.62 % Starting sh5l with 300s (1) cores
% 21.36/4.62 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 21.36/4.62 % new_bool_1 with pid 3815884 completed with status 0
% 21.36/4.62 % Result found by new_bool_1
% 21.36/4.62 % Preprocessing class: FMLLSMLLSSSNFFN.
% 21.36/4.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.36/4.62 % Starting new_bool_3 with 900s (3) cores
% 21.36/4.62 % Starting new_bool_1 with 900s (3) cores
% 21.36/4.62 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 21.36/4.62 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 21.36/4.62 % Search class: FGHSM-SMLM32-MFFFFFNN
% 21.36/4.62 % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 21.36/4.62 % Starting SubtermCWHack with 82s (1) cores
% 21.36/4.62 % Starting new_bool_1 with 91s (1) cores
% 21.36/4.62 % Starting C12_02_nc_SAT001_MinMin_p005000_rr with 68s (1) cores
% 21.36/4.62 % C12_02_nc_SAT001_MinMin_p005000_rr with pid 3815890 completed with status 0
% 21.36/4.62 % Result found by C12_02_nc_SAT001_MinMin_p005000_rr
% 21.36/4.62 % Preprocessing class: FMLLSMLLSSSNFFN.
% 21.36/4.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.36/4.62 % Starting new_bool_3 with 900s (3) cores
% 21.36/4.62 % Starting new_bool_1 with 900s (3) cores
% 21.36/4.62 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 21.36/4.62 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 21.36/4.62 % Search class: FGHSM-SMLM32-MFFFFFNN
% 21.36/4.62 % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 21.36/4.62 % Starting SubtermCWHack with 82s (1) cores
% 21.36/4.62 % Starting new_bool_1 with 91s (1) cores
% 21.36/4.62 % Starting C12_02_nc_SAT001_MinMin_p005000_rr with 68s (1) cores
% 21.36/4.62 % Preprocessing time : 0.050 s
% 21.36/4.62 % Presaturation interreduction done
% 21.36/4.62 % SatCheck found unsatisfiable ground set
% 21.36/4.62
% 21.36/4.62 % Proof found!
% 21.36/4.62 % SZS status Theorem
% 21.36/4.62 % SZS output start CNFRefutation
% See solution above
% 21.36/4.62 % Parsed axioms : 6468
% 21.36/4.62 % Removed by relevancy pruning/SinE : 5660
% 21.36/4.62 % Initial clauses : 1738
% 21.36/4.62 % Removed in clause preprocessing : 51
% 21.36/4.62 % Initial clauses in saturation : 1687
% 21.36/4.62 % Processed clauses : 13532
% 21.36/4.62 % ...of these trivial : 137
% 21.36/4.62 % ...subsumed : 8395
% 21.36/4.62 % ...remaining for further processing : 5000
% 21.36/4.62 % Other redundant clauses eliminated : 261
% 21.36/4.62 % Clauses deleted for lack of memory : 0
% 21.36/4.62 % Backward-subsumed : 72
% 21.36/4.62 % Backward-rewritten : 49
% 21.36/4.62 % Generated clauses : 41141
% 21.36/4.62 % ...of the previous two non-redundant : 37917
% 21.36/4.62 % ...aggressively subsumed : 0
% 21.36/4.62 % Contextual simplify-reflections : 88
% 21.36/4.62 % Paramodulations : 40872
% 21.36/4.62 % Factorizations : 9
% 21.36/4.62 % NegExts : 0
% 21.36/4.62 % Equation resolutions : 273
% 21.36/4.62 % Disequality decompositions : 0
% 21.36/4.62 % Total rewrite steps : 6008
% 21.36/4.62 % ...of those cached : 5055
% 21.36/4.62 % Propositional unsat checks : 1
% 21.36/4.62 % Propositional check models : 0
% 21.36/4.62 % Propositional check unsatisfiable : 1
% 21.36/4.62 % Propositional clauses : 30760
% 21.36/4.62 % Propositional clauses after purity: 5930
% 21.36/4.62 % Propositional unsat core size : 10
% 21.36/4.62 % Propositional preprocessing time : 0.000
% 21.36/4.62 % Propositional encoding time : 0.104
% 21.36/4.62 % Propositional solver time : 0.018
% 21.36/4.62 % Success case prop preproc time : 0.000
% 21.36/4.62 % Success case prop encoding time : 0.104
% 21.36/4.62 % Success case prop solver time : 0.018
% 21.36/4.62 % Current number of processed clauses : 3244
% 21.36/4.62 % Positive orientable unit clauses : 407
% 21.36/4.62 % Positive unorientable unit clauses: 2
% 21.36/4.62 % Negative unit clauses : 553
% 21.36/4.62 % Non-unit-clauses : 2282
% 21.36/4.62 % Current number of unprocessed clauses: 27516
% 21.36/4.62 % ...number of literals in the above : 111809
% 21.36/4.62 % Current number of archived formulas : 0
% 21.36/4.62 % Current number of archived clauses : 1662
% 21.36/4.62 % Clause-clause subsumption calls (NU) : 3020149
% 21.36/4.62 % Rec. Clause-clause subsumption calls : 833234
% 21.36/4.62 % Non-unit clause-clause subsumptions : 2912
% 21.36/4.62 % Unit Clause-clause subsumption calls : 129102
% 21.36/4.62 % Rewrite failures with RHS unbound : 0
% 21.36/4.62 % BW rewrite match attempts : 244
% 21.36/4.62 % BW rewrite match successes : 186
% 21.36/4.62 % Condensation attempts : 0
% 21.36/4.62 % Condensation successes : 0
% 21.36/4.62 % Termbank termtop insertions : 960548
% 21.36/4.62 % Search garbage collected termcells : 73393
% 21.36/4.62
% 21.36/4.62 % -------------------------------------------------
% 21.36/4.62 % User time : 3.394 s
% 21.36/4.62 % System time : 0.130 s
% 21.36/4.62 % Total time : 3.524 s
% 21.36/4.62 % Maximum resident set size: 17104 pages
% 21.36/4.62
% 21.36/4.62 % -------------------------------------------------
% 21.36/4.62 % User time : 9.389 s
% 21.36/4.62 % System time : 0.346 s
% 21.36/4.62 % Total time : 9.735 s
% 21.36/4.62 % Maximum resident set size: 12800 pages
% 21.36/4.62 % E exiting
%------------------------------------------------------------------------------