%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW478_2 : 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 : n002.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 0.40s 0.57s
% Output : CNFRefutation 0.40s
% 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 : 8 ( 2 avg)
% Number of types : 20 ( 19 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 23 ( 23 usr; 13 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,
val: $tType ).
tff(decl_sort7,type,
list_char: $tType ).
tff(decl_sort8,type,
option_val: $tType ).
tff(decl_sort9,type,
fun_li1432931796on_val: $tType ).
tff(decl_sort10,type,
produc124828825on_val: $tType ).
tff(decl_sort11,type,
fun_Pr231134077on_val: $tType ).
tff(decl_sort12,type,
fun_val_option_val: $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_Pr691271849l_bool: $tType ).
tff(decl_sort17,type,
fun_fu1690035458on_val: $tType ).
tff(decl_sort18,type,
produc1102272487on_val: $tType ).
tff(decl_sort19,type,
fun_Pr714818201on_val: $tType ).
tff(decl_107,type,
fun_up1149430426on_val: ( option_val * ( list_char * fun_li1432931796on_val ) ) > fun_li1432931796on_val ).
tff(decl_198,type,
some_val: fun_val_option_val ).
tff(decl_203,type,
produc1259058957on_val: fun_ex977868519on_val ).
tff(decl_207,type,
produc899768717on_val: fun_fu1639641777on_val ).
tff(decl_208,type,
produc1441475159on_val: fun_Pr1391347915on_val ).
tff(decl_292,type,
red: list_P1999446415t_char > fun_Pr691271849l_bool ).
tff(decl_336,type,
hAPP_e1659493427on_val: ( exp_list_char * fun_ex977868519on_val ) > fun_Pr231134077on_val ).
tff(decl_382,type,
hAPP_val_option_val: ( val * fun_val_option_val ) > option_val ).
tff(decl_453,type,
hAPP_f1727192346on_val: ( fun_li1432931796on_val * fun_fu1690035458on_val ) > produc12694297on_val ).
tff(decl_498,type,
hAPP_f1849790461on_val: ( fun_na939144002on_val * fun_fu1639641777on_val ) > fun_fu1690035458on_val ).
tff(decl_662,type,
hAPP_P1870962205on_val: ( produc124828825on_val * fun_Pr1391347915on_val ) > fun_Pr714818201on_val ).
tff(decl_667,type,
hAPP_P1886180715on_val: ( produc124828825on_val * fun_Pr714818201on_val ) > produc1102272487on_val ).
tff(decl_719,type,
hAPP_P604205461on_val: ( produc12694297on_val * fun_Pr231134077on_val ) > produc124828825on_val ).
tff(decl_734,type,
hBOOL: bool > $o ).
tff(decl_743,type,
member773094996on_val: ( fun_Pr691271849l_bool * produc1102272487on_val ) > bool ).
tff(decl_745,type,
p: list_P1999446415t_char ).
tff(decl_748,type,
v_1: list_char ).
tff(decl_749,type,
e_a: exp_list_char ).
tff(decl_750,type,
ea: exp_list_char ).
tff(decl_751,type,
h_a: fun_na939144002on_val ).
tff(decl_752,type,
ha: fun_na939144002on_val ).
tff(decl_753,type,
l_a: fun_li1432931796on_val ).
tff(decl_754,type,
la: fun_li1432931796on_val ).
tff(decl_756,type,
v: val ).
tff(conj_0,conjecture,
hBOOL(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(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(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(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(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(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(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
% 0.00/0.03 % Problem : SWW478_2 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 % Computer : n002.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Mon Sep 21 10:04:34 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.45 Running first-order theorem proving
% 0.14/0.45 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
% 0.40/0.57 % Version: 3.5.1
% 0.40/0.57 % Preprocessing class: FMLMSMLLSSSNFFN.
% 0.40/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/0.57 % Starting new_bool_3 with 900s (3) cores
% 0.40/0.57 % Starting new_bool_1 with 900s (3) cores
% 0.40/0.57 % Starting sh5l with 300s (1) cores
% 0.40/0.57 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2p with 300s (1) cores
% 0.40/0.57 % new_bool_3 with pid 3021817 completed with status 0
% 0.40/0.57 % Result found by new_bool_3
% 0.40/0.57 % Preprocessing class: FMLMSMLLSSSNFFN.
% 0.40/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/0.57 % Starting new_bool_3 with 900s (3) cores
% 0.40/0.57 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.40/0.57 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.40/0.57 % Search class: FGUSM-FSLF32-DFFFFFNN
% 0.40/0.57 % partial match(1): FGUSM-FSLM32-DFFFFFNN
% 0.40/0.57 % Scheduled 5 strats onto 3 cores with 900 seconds (900 total)
% 0.40/0.57 % Starting SubtermCWHack with 91s (1) cores
% 0.40/0.57 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 541s (1) cores
% 0.40/0.57 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 91s (1) cores
% 0.40/0.57 % G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 3021823 completed with status 0
% 0.40/0.57 % Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.40/0.57 % Preprocessing class: FMLMSMLLSSSNFFN.
% 0.40/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/0.57 % Starting new_bool_3 with 900s (3) cores
% 0.40/0.57 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.40/0.57 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.40/0.57 % Search class: FGUSM-FSLF32-DFFFFFNN
% 0.40/0.57 % partial match(1): FGUSM-FSLM32-DFFFFFNN
% 0.40/0.57 % Scheduled 5 strats onto 3 cores with 900 seconds (900 total)
% 0.40/0.57 % Starting SubtermCWHack with 91s (1) cores
% 0.40/0.57 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 541s (1) cores
% 0.40/0.57 % Preprocessing time : 0.008 s
% 0.40/0.57 % Presaturation interreduction done
% 0.40/0.57
% 0.40/0.57 % Proof found!
% 0.40/0.57 % SZS status Theorem
% 0.40/0.57 % SZS output start CNFRefutation
% See solution above
% 0.40/0.57 % Parsed axioms : 1936
% 0.40/0.57 % Removed by relevancy pruning/SinE : 1775
% 0.40/0.57 % Initial clauses : 219
% 0.40/0.57 % Removed in clause preprocessing : 16
% 0.40/0.57 % Initial clauses in saturation : 203
% 0.40/0.57 % Processed clauses : 14
% 0.40/0.57 % ...of these trivial : 0
% 0.40/0.57 % ...subsumed : 4
% 0.40/0.57 % ...remaining for further processing : 9
% 0.40/0.57 % Other redundant clauses eliminated : 0
% 0.40/0.57 % Clauses deleted for lack of memory : 0
% 0.40/0.57 % Backward-subsumed : 0
% 0.40/0.57 % Backward-rewritten : 0
% 0.40/0.57 % Generated clauses : 0
% 0.40/0.57 % ...of the previous two non-redundant : 0
% 0.40/0.57 % ...aggressively subsumed : 0
% 0.40/0.57 % Contextual simplify-reflections : 0
% 0.40/0.57 % Paramodulations : 0
% 0.40/0.57 % Factorizations : 0
% 0.40/0.57 % NegExts : 0
% 0.40/0.57 % Equation resolutions : 0
% 0.40/0.57 % Disequality decompositions : 0
% 0.40/0.57 % Total rewrite steps : 0
% 0.40/0.57 % ...of those cached : 0
% 0.40/0.57 % Propositional unsat checks : 0
% 0.40/0.57 % Propositional check models : 0
% 0.40/0.57 % Propositional check unsatisfiable : 0
% 0.40/0.57 % Propositional clauses : 0
% 0.40/0.57 % Propositional clauses after purity: 0
% 0.40/0.57 % Propositional unsat core size : 0
% 0.40/0.57 % Propositional preprocessing time : 0.000
% 0.40/0.57 % Propositional encoding time : 0.000
% 0.40/0.57 % Propositional solver time : 0.000
% 0.40/0.57 % Success case prop preproc time : 0.000
% 0.40/0.57 % Success case prop encoding time : 0.000
% 0.40/0.57 % Success case prop solver time : 0.000
% 0.40/0.57 % Current number of processed clauses : 9
% 0.40/0.57 % Positive orientable unit clauses : 2
% 0.40/0.57 % Positive unorientable unit clauses: 0
% 0.40/0.57 % Negative unit clauses : 5
% 0.40/0.57 % Non-unit-clauses : 2
% 0.40/0.57 % Current number of unprocessed clauses: 189
% 0.40/0.57 % ...number of literals in the above : 416
% 0.40/0.57 % Current number of archived formulas : 0
% 0.40/0.57 % Current number of archived clauses : 0
% 0.40/0.57 % Clause-clause subsumption calls (NU) : 1
% 0.40/0.57 % Rec. Clause-clause subsumption calls : 1
% 0.40/0.57 % Non-unit clause-clause subsumptions : 0
% 0.40/0.57 % Unit Clause-clause subsumption calls : 4
% 0.40/0.57 % Rewrite failures with RHS unbound : 0
% 0.40/0.57 % BW rewrite match attempts : 0
% 0.40/0.57 % BW rewrite match successes : 0
% 0.40/0.57 % Condensation attempts : 0
% 0.40/0.57 % Condensation successes : 0
% 0.40/0.57 % Termbank termtop insertions : 36881
% 0.40/0.57 % Search garbage collected termcells : 12205
% 0.40/0.57
% 0.40/0.57 % -------------------------------------------------
% 0.40/0.57 % User time : 0.029 s
% 0.40/0.57 % System time : 0.013 s
% 0.40/0.57 % Total time : 0.042 s
% 0.40/0.57 % Maximum resident set size: 8332 pages
% 0.40/0.57
% 0.40/0.57 % -------------------------------------------------
% 0.40/0.57 % User time : 0.102 s
% 0.40/0.57 % System time : 0.031 s
% 0.40/0.57 % Total time : 0.133 s
% 0.40/0.57 % Maximum resident set size: 7936 pages
% 0.40/0.57 % E exiting
%------------------------------------------------------------------------------