%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU388+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 02:24:56 PM UTC 2026
% Result : Theorem 0.16s 0.71s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 29 ( 9 unt; 0 def)
% Number of atoms : 123 ( 13 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 149 ( 55 ~; 52 |; 25 &)
% ( 5 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 45 ( 0 sgn 25 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t3_yellow19,conjecture,
! [X1] :
( ( top_str(X1)
& topological_space(X1)
& ~ empty_carrier(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( in(X3,neighborhood_system(X1,X2))
<=> point_neighbourhood(X3,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_yellow19) ).
fof(fraenkel_a_2_0_yellow19,axiom,
! [X1,X2,X3] :
( ( element(X3,the_carrier(X2))
& top_str(X2)
& topological_space(X2)
& ~ empty_carrier(X2) )
=> ( in(X1,a_2_0_yellow19(X2,X3))
<=> ? [X4] :
( X1 = X4
& point_neighbourhood(X4,X2,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_2_0_yellow19) ).
fof(d1_yellow19,axiom,
! [X1] :
( ( top_str(X1)
& topological_space(X1)
& ~ empty_carrier(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> neighborhood_system(X1,X2) = a_2_0_yellow19(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_yellow19) ).
fof(c_0_3,negated_conjecture,
~ ! [X1] :
( ( top_str(X1)
& topological_space(X1)
& ~ empty_carrier(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( in(X3,neighborhood_system(X1,X2))
<=> point_neighbourhood(X3,X1,X2) ) ) ),
inference(assume_negation,[status(cth)],[t3_yellow19]) ).
fof(c_0_4,plain,
! [X1,X2,X3] :
( ( element(X3,the_carrier(X2))
& top_str(X2)
& topological_space(X2)
& ~ empty_carrier(X2) )
=> ( in(X1,a_2_0_yellow19(X2,X3))
<=> ? [X4] :
( X1 = X4
& point_neighbourhood(X4,X2,X3) ) ) ),
inference(fof_simplification,[status(thm)],[fraenkel_a_2_0_yellow19]) ).
fof(c_0_5,plain,
! [X1] :
( ( top_str(X1)
& topological_space(X1)
& ~ empty_carrier(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> neighborhood_system(X1,X2) = a_2_0_yellow19(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[d1_yellow19]) ).
fof(c_0_6,negated_conjecture,
~ ! [X1] :
( ( top_str(X1)
& topological_space(X1)
& ~ empty_carrier(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( in(X3,neighborhood_system(X1,X2))
<=> point_neighbourhood(X3,X1,X2) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_7,plain,
! [X93,X94,X95,X97] :
( ( ~ element(X95,the_carrier(X94))
| ~ top_str(X94)
| ~ topological_space(X94)
| empty_carrier(X94)
| in(X93,a_2_0_yellow19(X94,X95))
| X93 != X97
| ~ point_neighbourhood(X97,X94,X95) )
& ( ~ element(X95,the_carrier(X94))
| ~ top_str(X94)
| ~ topological_space(X94)
| empty_carrier(X94)
| ~ in(X93,a_2_0_yellow19(X94,X95))
| X93 = esk8_3(X93,X94,X95) )
& ( ~ element(X95,the_carrier(X94))
| ~ top_str(X94)
| ~ topological_space(X94)
| empty_carrier(X94)
| ~ in(X93,a_2_0_yellow19(X94,X95))
| point_neighbourhood(esk8_3(X93,X94,X95),X94,X95) ) ),
inference(distribute,[status(thm)],[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_4])])])])])]) ).
fof(c_0_8,plain,
! [X41,X42] :
( neighborhood_system(X41,X42) = a_2_0_yellow19(X41,X42)
| ~ element(X42,the_carrier(X41))
| ~ top_str(X41)
| ~ topological_space(X41)
| empty_carrier(X41) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
fof(c_0_9,negated_conjecture,
( ( point_neighbourhood(esk46_0,esk44_0,esk45_0)
| in(esk46_0,neighborhood_system(esk44_0,esk45_0)) )
& ( ~ point_neighbourhood(esk46_0,esk44_0,esk45_0)
| ~ in(esk46_0,neighborhood_system(esk44_0,esk45_0)) )
& element(esk45_0,the_carrier(esk44_0))
& top_str(esk44_0)
& topological_space(esk44_0)
& ~ empty_carrier(esk44_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
cnf(c_0_10,plain,
( ~ element(X3,the_carrier(X2))
| ~ top_str(X2)
| ~ topological_space(X2)
| X4 != X1
| ~ point_neighbourhood(X1,X2,X3)
| empty_carrier(X2)
| in(X4,a_2_0_yellow19(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| neighborhood_system(X1,X2) = a_2_0_yellow19(X1,X2)
| empty_carrier(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
element(esk45_0,the_carrier(esk44_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,negated_conjecture,
top_str(esk44_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
topological_space(esk44_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
~ empty_carrier(esk44_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
( ~ element(X3,the_carrier(X1))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ point_neighbourhood(X2,X1,X3)
| in(X2,a_2_0_yellow19(X1,X3))
| empty_carrier(X1) ),
inference(er,[status(thm)],[c_0_10]) ).
cnf(c_0_17,negated_conjecture,
a_2_0_yellow19(esk44_0,esk45_0) = neighborhood_system(esk44_0,esk45_0),
inference(sr,[status(thm)],[inference(cn,[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]) ).
cnf(c_0_18,negated_conjecture,
( ~ point_neighbourhood(esk46_0,esk44_0,esk45_0)
| ~ in(esk46_0,neighborhood_system(esk44_0,esk45_0)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,negated_conjecture,
( ~ point_neighbourhood(X1,esk44_0,esk45_0)
| in(X1,neighborhood_system(esk44_0,esk45_0)) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_12]),c_0_13]),c_0_14])]),c_0_15]),c_0_17]) ).
cnf(c_0_20,plain,
( ~ element(X3,the_carrier(X2))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X1,a_2_0_yellow19(X2,X3))
| empty_carrier(X2)
| X1 = esk8_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_21,negated_conjecture,
( point_neighbourhood(esk46_0,esk44_0,esk45_0)
| in(esk46_0,neighborhood_system(esk44_0,esk45_0)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_22,negated_conjecture,
~ point_neighbourhood(esk46_0,esk44_0,esk45_0),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,plain,
( ~ element(X3,the_carrier(X2))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X1,a_2_0_yellow19(X2,X3))
| empty_carrier(X2)
| point_neighbourhood(esk8_3(X1,X2,X3),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_24,negated_conjecture,
( ~ in(X1,neighborhood_system(esk44_0,esk45_0))
| esk8_3(X1,esk44_0,esk45_0) = X1 ),
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_20,c_0_17]),c_0_13]),c_0_14]),c_0_12])]),c_0_15]) ).
cnf(c_0_25,negated_conjecture,
in(esk46_0,neighborhood_system(esk44_0,esk45_0)),
inference(sr,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( ~ in(X1,neighborhood_system(esk44_0,esk45_0))
| point_neighbourhood(esk8_3(X1,esk44_0,esk45_0),esk44_0,esk45_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_23,c_0_17]),c_0_13]),c_0_14]),c_0_12])]),c_0_15]) ).
cnf(c_0_27,negated_conjecture,
esk8_3(esk46_0,esk44_0,esk45_0) = esk46_0,
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_25])]),c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU388+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.59 % Computer : n020.cluster.edu
% 0.12/0.59 % Model : x86_64 x86_64
% 0.12/0.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.59 % Memory : 8046.5625MB
% 0.12/0.59 % OS : Linux 6.8.0-71-generic
% 0.12/0.59 % CPULimit : 300
% 0.12/0.59 % WCLimit : 300
% 0.12/0.60 % DateTime : Mon Sep 21 06:19:19 UTC 2026
% 0.12/0.60 % CPUTime :
% 0.12/0.60 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.64 Running first-order theorem proving
% 0.16/0.64 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
% 0.16/0.71 % Version: 3.5.1
% 0.16/0.71 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.71 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.71 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.71 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.71 % Starting new_bool_1 with 300s (1) cores
% 0.16/0.71 % Starting sh5l with 300s (1) cores
% 0.16/0.71 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2186943 completed with status 0
% 0.16/0.71 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.16/0.71 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.71 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.71 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.71 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.71 % No SInE strategy applied
% 0.16/0.71 % Search class: FGHSM-FSLM31-MFFFFFNN
% 0.16/0.71 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.71 % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.71 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.16/0.71 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 0.16/0.71 % Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 0.16/0.71 % Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.16/0.71 % U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 2186953 completed with status 0
% 0.16/0.71 % Result found by U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.71 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.71 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.71 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.71 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.71 % No SInE strategy applied
% 0.16/0.71 % Search class: FGHSM-FSLM31-MFFFFFNN
% 0.16/0.71 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.71 % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.71 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.16/0.71 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 0.16/0.71 % Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 0.16/0.71 % Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.16/0.71 % Preprocessing time : 0.003 s
% 0.16/0.71 % Presaturation interreduction done
% 0.16/0.71
% 0.16/0.71 % Proof found!
% 0.16/0.71 % SZS status Theorem
% 0.16/0.71 % SZS output start CNFRefutation
% See solution above
% 0.16/0.71 % Parsed axioms : 119
% 0.16/0.71 % Removed by relevancy pruning/SinE : 0
% 0.16/0.71 % Initial clauses : 385
% 0.16/0.71 % Removed in clause preprocessing : 35
% 0.16/0.71 % Initial clauses in saturation : 350
% 0.16/0.71 % Processed clauses : 949
% 0.16/0.71 % ...of these trivial : 46
% 0.16/0.71 % ...subsumed : 38
% 0.16/0.71 % ...remaining for further processing : 865
% 0.16/0.71 % Other redundant clauses eliminated : 1
% 0.16/0.71 % Clauses deleted for lack of memory : 0
% 0.16/0.71 % Backward-subsumed : 8
% 0.16/0.71 % Backward-rewritten : 12
% 0.16/0.71 % Generated clauses : 1118
% 0.16/0.71 % ...of the previous two non-redundant : 990
% 0.16/0.71 % ...aggressively subsumed : 0
% 0.16/0.71 % Contextual simplify-reflections : 3
% 0.16/0.71 % Paramodulations : 1112
% 0.16/0.71 % Factorizations : 2
% 0.16/0.71 % NegExts : 0
% 0.16/0.71 % Equation resolutions : 1
% 0.16/0.71 % Disequality decompositions : 0
% 0.16/0.71 % Total rewrite steps : 636
% 0.16/0.71 % ...of those cached : 518
% 0.16/0.71 % Propositional unsat checks : 0
% 0.16/0.71 % Propositional check models : 0
% 0.16/0.71 % Propositional check unsatisfiable : 0
% 0.16/0.71 % Propositional clauses : 0
% 0.16/0.71 % Propositional clauses after purity: 0
% 0.16/0.71 % Propositional unsat core size : 0
% 0.16/0.71 % Propositional preprocessing time : 0.000
% 0.16/0.71 % Propositional encoding time : 0.000
% 0.16/0.71 % Propositional solver time : 0.000
% 0.16/0.71 % Success case prop preproc time : 0.000
% 0.16/0.71 % Success case prop encoding time : 0.000
% 0.16/0.71 % Success case prop solver time : 0.000
% 0.16/0.71 % Current number of processed clauses : 549
% 0.16/0.71 % Positive orientable unit clauses : 307
% 0.16/0.71 % Positive unorientable unit clauses: 0
% 0.16/0.71 % Negative unit clauses : 29
% 0.16/0.71 % Non-unit-clauses : 213
% 0.16/0.71 % Current number of unprocessed clauses: 664
% 0.16/0.71 % ...number of literals in the above : 2658
% 0.16/0.71 % Current number of archived formulas : 0
% 0.16/0.71 % Current number of archived clauses : 315
% 0.16/0.71 % Clause-clause subsumption calls (NU) : 12876
% 0.16/0.71 % Rec. Clause-clause subsumption calls : 4014
% 0.16/0.71 % Non-unit clause-clause subsumptions : 23
% 0.16/0.71 % Unit Clause-clause subsumption calls : 3954
% 0.16/0.71 % Rewrite failures with RHS unbound : 0
% 0.16/0.71 % BW rewrite match attempts : 11
% 0.16/0.71 % BW rewrite match successes : 11
% 0.16/0.71 % Condensation attempts : 0
% 0.16/0.71 % Condensation successes : 0
% 0.16/0.71 % Termbank termtop insertions : 38519
% 0.16/0.71 % Search garbage collected termcells : 3042
% 0.16/0.71
% 0.16/0.71 % -------------------------------------------------
% 0.16/0.71 % User time : 0.035 s
% 0.16/0.71 % System time : 0.008 s
% 0.16/0.71 % Total time : 0.043 s
% 0.16/0.71 % Maximum resident set size: 4536 pages
% 0.16/0.71
% 0.16/0.71 % -------------------------------------------------
% 0.16/0.71 % User time : 0.172 s
% 0.16/0.71 % System time : 0.026 s
% 0.16/0.71 % Total time : 0.198 s
% 0.16/0.71 % Maximum resident set size: 4864 pages
% 0.16/0.71 % E exiting
%------------------------------------------------------------------------------