%------------------------------------------------------------------------------
% 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 : n006.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 0.51s 0.56s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 8 unt; 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 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 ?)
% Comments :
%------------------------------------------------------------------------------
fof(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) ).
fof(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) ).
fof(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]) ).
fof(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]) ).
fof(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]) ).
cnf(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]) ).
cnf(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
% 0.00/0.03 % Problem : SWW478+3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n006.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 : Mon Sep 21 10:02:13 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.51/0.56 % Version: 3.5.1
% 0.51/0.56 % Preprocessing class: FMLLSMLLSSSNFFN.
% 0.51/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.51/0.56 % Starting new_bool_3 with 900s (3) cores
% 0.51/0.56 % Starting new_bool_1 with 900s (3) cores
% 0.51/0.56 % Starting sh5l with 300s (1) cores
% 0.51/0.56 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 0.51/0.56 % new_bool_1 with pid 2575470 completed with status 0
% 0.51/0.56 % Result found by new_bool_1
% 0.51/0.56 % Preprocessing class: FMLLSMLLSSSNFFN.
% 0.51/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.51/0.56 % Starting new_bool_3 with 900s (3) cores
% 0.51/0.56 % Starting new_bool_1 with 900s (3) cores
% 0.51/0.56 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.51/0.56 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.51/0.56 % Search class: FGHSM-FSLF32-DFFFFFNN
% 0.51/0.56 % partial match(1): FGHSM-FSLM32-DFFFFFNN
% 0.51/0.56 % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 0.51/0.56 % Starting SubtermCWHack with 82s (1) cores
% 0.51/0.56 % Starting new_bool_1 with 91s (1) cores
% 0.51/0.56 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 68s (1) cores
% 0.51/0.56 % new_bool_1 with pid 2575488 completed with status 0
% 0.51/0.56 % Result found by new_bool_1
% 0.51/0.56 % Preprocessing class: FMLLSMLLSSSNFFN.
% 0.51/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.51/0.56 % Starting new_bool_3 with 900s (3) cores
% 0.51/0.56 % Starting new_bool_1 with 900s (3) cores
% 0.51/0.56 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.51/0.56 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.51/0.56 % Search class: FGHSM-FSLF32-DFFFFFNN
% 0.51/0.56 % partial match(1): FGHSM-FSLM32-DFFFFFNN
% 0.51/0.56 % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 0.51/0.56 % Starting SubtermCWHack with 82s (1) cores
% 0.51/0.56 % Starting new_bool_1 with 91s (1) cores
% 0.51/0.56 % Preprocessing time : 0.007 s
% 0.51/0.56 % Presaturation interreduction done
% 0.51/0.56
% 0.51/0.56 % Proof found!
% 0.51/0.56 % SZS status Theorem
% 0.51/0.56 % SZS output start CNFRefutation
% See solution above
% 0.51/0.56 % Parsed axioms : 1491
% 0.51/0.56 % Removed by relevancy pruning/SinE : 1198
% 0.51/0.56 % Initial clauses : 403
% 0.51/0.56 % Removed in clause preprocessing : 25
% 0.51/0.56 % Initial clauses in saturation : 378
% 0.51/0.56 % Processed clauses : 25
% 0.51/0.56 % ...of these trivial : 0
% 0.51/0.56 % ...subsumed : 8
% 0.51/0.56 % ...remaining for further processing : 16
% 0.51/0.56 % Other redundant clauses eliminated : 2
% 0.51/0.56 % Clauses deleted for lack of memory : 0
% 0.51/0.56 % Backward-subsumed : 0
% 0.51/0.56 % Backward-rewritten : 0
% 0.51/0.56 % Generated clauses : 2
% 0.51/0.56 % ...of the previous two non-redundant : 2
% 0.51/0.56 % ...aggressively subsumed : 0
% 0.51/0.56 % Contextual simplify-reflections : 0
% 0.51/0.56 % Paramodulations : 0
% 0.51/0.56 % Factorizations : 0
% 0.51/0.56 % NegExts : 0
% 0.51/0.56 % Equation resolutions : 2
% 0.51/0.56 % Disequality decompositions : 0
% 0.51/0.56 % Total rewrite steps : 0
% 0.51/0.56 % ...of those cached : 0
% 0.51/0.56 % Propositional unsat checks : 0
% 0.51/0.56 % Propositional check models : 0
% 0.51/0.56 % Propositional check unsatisfiable : 0
% 0.51/0.56 % Propositional clauses : 0
% 0.51/0.56 % Propositional clauses after purity: 0
% 0.51/0.56 % Propositional unsat core size : 0
% 0.51/0.56 % Propositional preprocessing time : 0.000
% 0.51/0.56 % Propositional encoding time : 0.000
% 0.51/0.56 % Propositional solver time : 0.000
% 0.51/0.56 % Success case prop preproc time : 0.000
% 0.51/0.56 % Success case prop encoding time : 0.000
% 0.51/0.56 % Success case prop solver time : 0.000
% 0.51/0.56 % Current number of processed clauses : 14
% 0.51/0.56 % Positive orientable unit clauses : 6
% 0.51/0.56 % Positive unorientable unit clauses: 0
% 0.51/0.56 % Negative unit clauses : 7
% 0.51/0.56 % Non-unit-clauses : 1
% 0.51/0.56 % Current number of unprocessed clauses: 355
% 0.51/0.56 % ...number of literals in the above : 827
% 0.51/0.56 % Current number of archived formulas : 0
% 0.51/0.56 % Current number of archived clauses : 0
% 0.51/0.56 % Clause-clause subsumption calls (NU) : 0
% 0.51/0.56 % Rec. Clause-clause subsumption calls : 0
% 0.51/0.56 % Non-unit clause-clause subsumptions : 0
% 0.51/0.56 % Unit Clause-clause subsumption calls : 8
% 0.51/0.56 % Rewrite failures with RHS unbound : 0
% 0.51/0.56 % BW rewrite match attempts : 0
% 0.51/0.56 % BW rewrite match successes : 0
% 0.51/0.56 % Condensation attempts : 0
% 0.51/0.56 % Condensation successes : 0
% 0.51/0.56 % Termbank termtop insertions : 72337
% 0.51/0.56 % Search garbage collected termcells : 20928
% 0.51/0.56
% 0.51/0.56 % -------------------------------------------------
% 0.51/0.56 % User time : 0.034 s
% 0.51/0.56 % System time : 0.014 s
% 0.51/0.56 % Total time : 0.048 s
% 0.51/0.56 % Maximum resident set size: 9340 pages
% 0.51/0.56
% 0.51/0.56 % -------------------------------------------------
% 0.51/0.56 % User time : 0.117 s
% 0.51/0.56 % System time : 0.028 s
% 0.51/0.56 % Total time : 0.145 s
% 0.51/0.56 % Maximum resident set size: 7680 pages
% 0.51/0.56 % E exiting
%------------------------------------------------------------------------------