%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW478_3 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 03:10:56 PM UTC 2026
% Result : Theorem 0.16s 10.81s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 8 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 22 ( 21 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 25 ( 25 usr; 14 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
list_P1999446415t_char: $tType ).
tff(decl_sort2,type,
exp_list_char: $tType ).
tff(decl_sort3,type,
produc12694297on_val: $tType ).
tff(decl_sort4,type,
bool: $tType ).
tff(decl_sort5,type,
fun_na939144002on_val: $tType ).
tff(decl_sort6,type,
list_char: $tType ).
tff(decl_sort7,type,
option_val: $tType ).
tff(decl_sort8,type,
fun_Pr691271849l_bool: $tType ).
tff(decl_sort9,type,
val: $tType ).
tff(decl_sort10,type,
fun_li1432931796on_val: $tType ).
tff(decl_sort11,type,
fun_val_option_val: $tType ).
tff(decl_sort12,type,
fun_fu1001966495l_bool: $tType ).
tff(decl_sort13,type,
fun_ex977868519on_val: $tType ).
tff(decl_sort14,type,
fun_fu1639641777on_val: $tType ).
tff(decl_sort15,type,
fun_Pr1391347915on_val: $tType ).
tff(decl_sort16,type,
fun_Pr231134077on_val: $tType ).
tff(decl_sort17,type,
fun_fu1690035458on_val: $tType ).
tff(decl_sort18,type,
fun_Pr714818201on_val: $tType ).
tff(decl_sort19,type,
fun_Pr243362283l_bool: $tType ).
tff(decl_sort20,type,
produc124828825on_val: $tType ).
tff(decl_sort21,type,
produc1102272487on_val: $tType ).
tff(decl_191,type,
fun_up1149430426on_val: ( option_val * ( list_char * fun_li1432931796on_val ) ) > fun_li1432931796on_val ).
tff(decl_243,type,
some_val: fun_val_option_val ).
tff(decl_292,type,
produc1259058957on_val: fun_ex977868519on_val ).
tff(decl_315,type,
produc899768717on_val: fun_fu1639641777on_val ).
tff(decl_319,type,
produc1441475159on_val: fun_Pr1391347915on_val ).
tff(decl_382,type,
red: list_P1999446415t_char > fun_Pr691271849l_bool ).
tff(decl_463,type,
hAPP_e1659493427on_val: ( exp_list_char * fun_ex977868519on_val ) > fun_Pr231134077on_val ).
tff(decl_574,type,
hAPP_val_option_val: ( val * fun_val_option_val ) > option_val ).
tff(decl_635,type,
hAPP_f1727192346on_val: ( fun_li1432931796on_val * fun_fu1690035458on_val ) > produc12694297on_val ).
tff(decl_695,type,
hAPP_f1849790461on_val: ( fun_na939144002on_val * fun_fu1639641777on_val ) > fun_fu1690035458on_val ).
tff(decl_890,type,
hAPP_f1453283057l_bool: ( fun_Pr691271849l_bool * fun_fu1001966495l_bool ) > bool ).
tff(decl_931,type,
hAPP_P1870962205on_val: ( produc124828825on_val * fun_Pr1391347915on_val ) > fun_Pr714818201on_val ).
tff(decl_932,type,
hAPP_P1886180715on_val: ( produc124828825on_val * fun_Pr714818201on_val ) > produc1102272487on_val ).
tff(decl_1025,type,
hAPP_P604205461on_val: ( produc12694297on_val * fun_Pr231134077on_val ) > produc124828825on_val ).
tff(decl_1036,type,
hAPP_P1303341961l_bool: ( produc1102272487on_val * fun_Pr243362283l_bool ) > fun_fu1001966495l_bool ).
tff(decl_1071,type,
hBOOL: bool > $o ).
tff(decl_1101,type,
member773094996on_val: fun_Pr243362283l_bool ).
tff(decl_1117,type,
p: list_P1999446415t_char ).
tff(decl_1120,type,
v_1: list_char ).
tff(decl_1121,type,
e_a: exp_list_char ).
tff(decl_1122,type,
ea: exp_list_char ).
tff(decl_1123,type,
h_a: fun_na939144002on_val ).
tff(decl_1124,type,
ha: fun_na939144002on_val ).
tff(decl_1125,type,
l_a: fun_li1432931796on_val ).
tff(decl_1126,type,
la: fun_li1432931796on_val ).
tff(decl_1128,type,
v: val ).
tff(conj_0,conjecture,
hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a)))),red(p))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(fact_1_InitBlockRed_I1_J,axiom,
hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a)))),red(p))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_InitBlockRed_I1_J) ).
tff(c_0_2,negated_conjecture,
~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a)))),red(p))),
inference(assume_negation,[status(cth)],[conj_0]) ).
tff(c_0_3,negated_conjecture,
~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a)))),red(p))),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
tff(c_0_4,negated_conjecture,
~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a)))),red(p))),
inference(fof_nnf,[status(thm)],[c_0_3]) ).
tcf(c_0_5,plain,
hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a)))),red(p))),
inference(split_conjunct,[status(thm)],[fact_1_InitBlockRed_I1_J]) ).
tcf(c_0_6,negated_conjecture,
~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a)))),red(p))),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
$false,
inference(sr,[status(thm)],[c_0_5,c_0_6]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW478_3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/10.54 % Computer : n016.cluster.edu
% 0.10/10.54 % Model : x86_64 x86_64
% 0.10/10.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.54 % Memory : 8046.5625MB
% 0.10/10.54 % OS : Linux 6.8.0-71-generic
% 0.10/10.55 % CPULimit : 300
% 0.10/10.55 % WCLimit : 300
% 0.10/10.55 % DateTime : Mon Sep 21 10:07:20 UTC 2026
% 0.10/10.55 % CPUTime :
% 0.10/10.55 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/10.60 Running first-order theorem proving
% 0.10/10.60 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.16/10.81 % Version: 3.5.1
% 0.16/10.81 % Preprocessing class: FMLLSMLLSSSNFFN.
% 0.16/10.81 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/10.81 % Starting new_bool_3 with 900s (3) cores
% 0.16/10.81 % Starting new_bool_1 with 900s (3) cores
% 0.16/10.81 % Starting sh5l with 300s (1) cores
% 0.16/10.81 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 0.16/10.81 % new_bool_1 with pid 2177629 completed with status 0
% 0.16/10.81 % Result found by new_bool_1
% 0.16/10.81 % Preprocessing class: FMLLSMLLSSSNFFN.
% 0.16/10.81 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/10.81 % Starting new_bool_3 with 900s (3) cores
% 0.16/10.81 % Starting new_bool_1 with 900s (3) cores
% 0.16/10.81 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/10.81 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/10.81 % Search class: FGHSM-FSLF32-DFFFFFNN
% 0.16/10.81 % partial match(1): FGHSM-FSLM32-DFFFFFNN
% 0.16/10.81 % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 0.16/10.81 % Starting SubtermCWHack with 82s (1) cores
% 0.16/10.81 % Starting new_bool_1 with 91s (1) cores
% 0.16/10.81 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 68s (1) cores
% 0.16/10.81 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2177634 completed with status 0
% 0.16/10.81 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.16/10.81 % Preprocessing class: FMLLSMLLSSSNFFN.
% 0.16/10.81 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/10.81 % Starting new_bool_3 with 900s (3) cores
% 0.16/10.81 % Starting new_bool_1 with 900s (3) cores
% 0.16/10.81 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/10.81 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/10.81 % Search class: FGHSM-FSLF32-DFFFFFNN
% 0.16/10.81 % partial match(1): FGHSM-FSLM32-DFFFFFNN
% 0.16/10.81 % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 0.16/10.81 % Starting SubtermCWHack with 82s (1) cores
% 0.16/10.81 % Starting new_bool_1 with 91s (1) cores
% 0.16/10.81 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 68s (1) cores
% 0.16/10.81 % Preprocessing time : 0.015 s
% 0.16/10.81 % Presaturation interreduction done
% 0.16/10.81
% 0.16/10.81 % Proof found!
% 0.16/10.81 % SZS status Theorem
% 0.16/10.81 % SZS output start CNFRefutation
% See solution above
% 0.16/10.81 % Parsed axioms : 3145
% 0.16/10.81 % Removed by relevancy pruning/SinE : 2862
% 0.16/10.81 % Initial clauses : 393
% 0.16/10.81 % Removed in clause preprocessing : 25
% 0.16/10.81 % Initial clauses in saturation : 368
% 0.16/10.81 % Processed clauses : 14
% 0.16/10.81 % ...of these trivial : 0
% 0.16/10.81 % ...subsumed : 3
% 0.16/10.81 % ...remaining for further processing : 10
% 0.16/10.81 % Other redundant clauses eliminated : 2
% 0.16/10.81 % Clauses deleted for lack of memory : 0
% 0.16/10.81 % Backward-subsumed : 0
% 0.16/10.81 % Backward-rewritten : 0
% 0.16/10.81 % Generated clauses : 2
% 0.16/10.81 % ...of the previous two non-redundant : 2
% 0.16/10.81 % ...aggressively subsumed : 0
% 0.16/10.81 % Contextual simplify-reflections : 0
% 0.16/10.81 % Paramodulations : 0
% 0.16/10.81 % Factorizations : 0
% 0.16/10.81 % NegExts : 0
% 0.16/10.81 % Equation resolutions : 2
% 0.16/10.81 % Disequality decompositions : 0
% 0.16/10.81 % Total rewrite steps : 0
% 0.16/10.81 % ...of those cached : 0
% 0.16/10.81 % Propositional unsat checks : 0
% 0.16/10.81 % Propositional check models : 0
% 0.16/10.81 % Propositional check unsatisfiable : 0
% 0.16/10.81 % Propositional clauses : 0
% 0.16/10.81 % Propositional clauses after purity: 0
% 0.16/10.81 % Propositional unsat core size : 0
% 0.16/10.81 % Propositional preprocessing time : 0.000
% 0.16/10.81 % Propositional encoding time : 0.000
% 0.16/10.81 % Propositional solver time : 0.000
% 0.16/10.81 % Success case prop preproc time : 0.000
% 0.16/10.81 % Success case prop encoding time : 0.000
% 0.16/10.81 % Success case prop solver time : 0.000
% 0.16/10.81 % Current number of processed clauses : 8
% 0.16/10.81 % Positive orientable unit clauses : 3
% 0.16/10.81 % Positive unorientable unit clauses: 0
% 0.16/10.81 % Negative unit clauses : 4
% 0.16/10.81 % Non-unit-clauses : 1
% 0.16/10.81 % Current number of unprocessed clauses: 356
% 0.16/10.81 % ...number of literals in the above : 831
% 0.16/10.81 % Current number of archived formulas : 0
% 0.16/10.81 % Current number of archived clauses : 0
% 0.16/10.81 % Clause-clause subsumption calls (NU) : 0
% 0.16/10.81 % Rec. Clause-clause subsumption calls : 0
% 0.16/10.81 % Non-unit clause-clause subsumptions : 0
% 0.16/10.81 % Unit Clause-clause subsumption calls : 3
% 0.16/10.81 % Rewrite failures with RHS unbound : 0
% 0.16/10.81 % BW rewrite match attempts : 0
% 0.16/10.81 % BW rewrite match successes : 0
% 0.16/10.81 % Condensation attempts : 0
% 0.16/10.81 % Condensation successes : 0
% 0.16/10.81 % Termbank termtop insertions : 73214
% 0.16/10.81 % Search garbage collected termcells : 24794
% 0.16/10.81
% 0.16/10.81 % -------------------------------------------------
% 0.16/10.81 % User time : 0.043 s
% 0.16/10.81 % System time : 0.020 s
% 0.16/10.81 % Total time : 0.063 s
% 0.16/10.81 % Maximum resident set size: 12176 pages
% 0.16/10.81
% 0.16/10.81 % -------------------------------------------------
% 0.16/10.81 % User time : 0.196 s
% 0.16/10.81 % System time : 0.047 s
% 0.16/10.81 % Total time : 0.243 s
% 0.16/10.81 % Maximum resident set size: 10240 pages
% 0.16/10.81 % E exiting
%------------------------------------------------------------------------------