%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT300+1 : 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 : n004.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 01:04:46 PM UTC 2026
% Result : Theorem 0.18s 0.48s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 12 unt; 0 def)
% Number of atoms : 110 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 122 ( 45 ~; 36 |; 25 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 50 ( 1 sgn 31 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t24_filter_2,conjecture,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ? [X3] :
( r2_hidden(X3,X2)
& m1_subset_1(X3,u1_struct_0(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_filter_2) ).
fof(dt_m2_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(dt_m2_lattice4,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X3))
& r2_hidden(X1,X2) )
=> m1_subset_1(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( r2_hidden(X1,X2)
| v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(c_0_6,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ? [X3] :
( r2_hidden(X3,X2)
& m1_subset_1(X3,u1_struct_0(X1)) ) ) ),
inference(assume_negation,[status(cth)],[t24_filter_2]) ).
fof(c_0_7,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_filter_2]) ).
fof(c_0_8,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ? [X3] :
( r2_hidden(X3,X2)
& m1_subset_1(X3,u1_struct_0(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_9,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_lattice4]) ).
fof(c_0_10,plain,
! [X18,X19] :
( ( ~ l3_lattices(X18)
| ~ v10_lattices(X18)
| v3_struct_0(X18)
| ~ m2_filter_2(X19,X18)
| m2_lattice4(X19,X18) )
& ( ~ l3_lattices(X18)
| ~ v10_lattices(X18)
| v3_struct_0(X18)
| ~ m2_filter_2(X19,X18)
| ~ v1_xboole_0(X19) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])]) ).
fof(c_0_11,negated_conjecture,
! [X6] :
( ( ~ r2_hidden(X6,esk2_0)
| ~ m1_subset_1(X6,u1_struct_0(esk1_0)) )
& m2_filter_2(esk2_0,esk1_0)
& l3_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_8])])])])]) ).
fof(c_0_12,plain,
! [X20,X21] :
( m1_subset_1(X21,k1_zfmisc_1(u1_struct_0(X20)))
| ~ m2_lattice4(X21,X20)
| ~ l3_lattices(X20)
| ~ v10_lattices(X20)
| v3_struct_0(X20) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).
cnf(c_0_13,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m2_filter_2(X1,X2)
| v3_struct_0(X2)
| m2_lattice4(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_18,plain,
! [X58,X59,X60] :
( m1_subset_1(X58,X60)
| ~ m1_subset_1(X59,k1_zfmisc_1(X60))
| ~ r2_hidden(X58,X59) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])])]) ).
cnf(c_0_19,plain,
( ~ m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,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_13,c_0_14]),c_0_15]),c_0_16])]),c_0_17]) ).
fof(c_0_21,plain,
! [X54,X55] :
( r2_hidden(X54,X55)
| v1_xboole_0(X55)
| ~ m1_subset_1(X54,X55) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])]) ).
fof(c_0_22,plain,
! [X29] : m1_subset_1(esk8_1(X29),X29),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
cnf(c_0_23,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ r2_hidden(X1,X2)
| m1_subset_1(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,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_19,c_0_20]),c_0_15]),c_0_16])]),c_0_17]) ).
cnf(c_0_25,negated_conjecture,
( ~ r2_hidden(X1,esk2_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_26,plain,
( ~ m1_subset_1(X1,X2)
| r2_hidden(X1,X2)
| v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
m1_subset_1(esk8_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m2_filter_2(X1,X2)
| ~ v1_xboole_0(X1)
| v3_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_29,negated_conjecture,
~ r2_hidden(X1,esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_30,plain,
( r2_hidden(esk8_1(X1),X1)
| v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,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_28,c_0_14]),c_0_15]),c_0_16])]),c_0_17]) ).
cnf(c_0_32,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT300+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n004.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 20 23:30:05 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 0.18/0.48 % Version: 3.5.1
% 0.18/0.48 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.48 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.48 % Starting sh5l with 300s (1) cores
% 0.18/0.48 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1726427 completed with status 0
% 0.18/0.48 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.18/0.48 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.48 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.18/0.48 % No SInE strategy applied
% 0.18/0.48 % Search class: FGHSM-FFMM21-SFFFFFNN
% 0.18/0.48 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.48 % Starting SubtermCWHack with 136s (1) cores
% 0.18/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.18/0.48 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 0.18/0.48 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.18/0.48 % Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S5PRR_S04AN with 136s (1) cores
% 0.18/0.48 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1726434 completed with status 0
% 0.18/0.48 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.18/0.48 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.48 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.18/0.48 % No SInE strategy applied
% 0.18/0.48 % Search class: FGHSM-FFMM21-SFFFFFNN
% 0.18/0.48 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.48 % Starting SubtermCWHack with 136s (1) cores
% 0.18/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.18/0.48 % Preprocessing time : 0.002 s
% 0.18/0.48 % Presaturation interreduction done
% 0.18/0.48
% 0.18/0.48 % Proof found!
% 0.18/0.48 % SZS status Theorem
% 0.18/0.48 % SZS output start CNFRefutation
% See solution above
% 0.18/0.48 % Parsed axioms : 44
% 0.18/0.48 % Removed by relevancy pruning/SinE : 0
% 0.18/0.48 % Initial clauses : 64
% 0.18/0.48 % Removed in clause preprocessing : 7
% 0.18/0.48 % Initial clauses in saturation : 57
% 0.18/0.48 % Processed clauses : 182
% 0.18/0.48 % ...of these trivial : 0
% 0.18/0.48 % ...subsumed : 10
% 0.18/0.48 % ...remaining for further processing : 172
% 0.18/0.48 % Other redundant clauses eliminated : 0
% 0.18/0.48 % Clauses deleted for lack of memory : 0
% 0.18/0.48 % Backward-subsumed : 4
% 0.18/0.48 % Backward-rewritten : 2
% 0.18/0.48 % Generated clauses : 132
% 0.18/0.48 % ...of the previous two non-redundant : 113
% 0.18/0.48 % ...aggressively subsumed : 0
% 0.18/0.48 % Contextual simplify-reflections : 1
% 0.18/0.48 % Paramodulations : 132
% 0.18/0.48 % Factorizations : 0
% 0.18/0.48 % NegExts : 0
% 0.18/0.48 % Equation resolutions : 0
% 0.18/0.48 % Disequality decompositions : 0
% 0.18/0.48 % Total rewrite steps : 47
% 0.18/0.48 % ...of those cached : 31
% 0.18/0.48 % Propositional unsat checks : 0
% 0.18/0.48 % Propositional check models : 0
% 0.18/0.48 % Propositional check unsatisfiable : 0
% 0.18/0.48 % Propositional clauses : 0
% 0.18/0.48 % Propositional clauses after purity: 0
% 0.18/0.48 % Propositional unsat core size : 0
% 0.18/0.48 % Propositional preprocessing time : 0.000
% 0.18/0.48 % Propositional encoding time : 0.000
% 0.18/0.48 % Propositional solver time : 0.000
% 0.18/0.48 % Success case prop preproc time : 0.000
% 0.18/0.48 % Success case prop encoding time : 0.000
% 0.18/0.48 % Success case prop solver time : 0.000
% 0.18/0.48 % Current number of processed clauses : 109
% 0.18/0.48 % Positive orientable unit clauses : 38
% 0.18/0.48 % Positive unorientable unit clauses: 0
% 0.18/0.48 % Negative unit clauses : 12
% 0.18/0.48 % Non-unit-clauses : 59
% 0.18/0.48 % Current number of unprocessed clauses: 37
% 0.18/0.48 % ...number of literals in the above : 133
% 0.18/0.48 % Current number of archived formulas : 0
% 0.18/0.48 % Current number of archived clauses : 63
% 0.18/0.48 % Clause-clause subsumption calls (NU) : 1803
% 0.18/0.48 % Rec. Clause-clause subsumption calls : 636
% 0.18/0.48 % Non-unit clause-clause subsumptions : 5
% 0.18/0.48 % Unit Clause-clause subsumption calls : 277
% 0.18/0.48 % Rewrite failures with RHS unbound : 0
% 0.18/0.48 % BW rewrite match attempts : 7
% 0.18/0.48 % BW rewrite match successes : 2
% 0.18/0.48 % Condensation attempts : 0
% 0.18/0.48 % Condensation successes : 0
% 0.18/0.48 % Termbank termtop insertions : 6576
% 0.18/0.48 % Search garbage collected termcells : 748
% 0.18/0.48
% 0.18/0.48 % -------------------------------------------------
% 0.18/0.48 % User time : 0.014 s
% 0.18/0.48 % System time : 0.006 s
% 0.18/0.48 % Total time : 0.020 s
% 0.18/0.48 % Maximum resident set size: 3668 pages
% 0.18/0.48
% 0.18/0.48 % -------------------------------------------------
% 0.18/0.48 % User time : 0.059 s
% 0.18/0.48 % System time : 0.019 s
% 0.18/0.48 % Total time : 0.079 s
% 0.18/0.48 % Maximum resident set size: 4608 pages
% 0.18/0.48 % E exiting
%------------------------------------------------------------------------------