%------------------------------------------------------------------------------
% 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 : n010.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 03:10:55 PM UTC 2026
% Result : Theorem 0.20s 0.51s
% Output : CNFRefutation 0.20s
% 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 : 8 ( 2 avg)
% 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 ?)
% Comments :
%------------------------------------------------------------------------------
fof(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) ).
fof(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) ).
fof(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]) ).
fof(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]) ).
fof(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]) ).
cnf(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]) ).
cnf(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
% 0.10/0.37 % Computer : n010.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 10:02:28 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.20/0.51 % Version: 3.5.1
% 0.20/0.51 % Preprocessing class: FSLMSMLLSSSNFFN.
% 0.20/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51 % Starting SAT001_MinMin_p005000_rr_RG with 1200s (4) cores
% 0.20/0.51 % Starting new_bool_3 with 600s (2) cores
% 0.20/0.51 % Starting new_bool_1 with 300s (1) cores
% 0.20/0.51 % Starting sh5l with 300s (1) cores
% 0.20/0.51 % new_bool_3 with pid 620677 completed with status 0
% 0.20/0.51 % Result found by new_bool_3
% 0.20/0.51 % Preprocessing class: FSLMSMLLSSSNFFN.
% 0.20/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51 % Starting SAT001_MinMin_p005000_rr_RG with 1200s (4) cores
% 0.20/0.51 % Starting new_bool_3 with 600s (2) cores
% 0.20/0.51 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.20/0.51 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.51 % Search class: FGUSM-FSLF31-DFFFFFNN
% 0.20/0.51 % partial match(2): FGHSM-FSLM31-DFFFFFNN
% 0.20/0.51 % Scheduled 7 strats onto 2 cores with 600 seconds (600 total)
% 0.20/0.51 % Starting SubtermCWHack with 55s (1) cores
% 0.20/0.51 % Starting new_bool_3 with 61s (1) cores
% 0.20/0.51 % new_bool_3 with pid 620691 completed with status 0
% 0.20/0.51 % Result found by new_bool_3
% 0.20/0.51 % Preprocessing class: FSLMSMLLSSSNFFN.
% 0.20/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51 % Starting SAT001_MinMin_p005000_rr_RG with 1200s (4) cores
% 0.20/0.51 % Starting new_bool_3 with 600s (2) cores
% 0.20/0.51 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.20/0.51 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.51 % Search class: FGUSM-FSLF31-DFFFFFNN
% 0.20/0.51 % partial match(2): FGHSM-FSLM31-DFFFFFNN
% 0.20/0.51 % Scheduled 7 strats onto 2 cores with 600 seconds (600 total)
% 0.20/0.51 % Starting SubtermCWHack with 55s (1) cores
% 0.20/0.51 % Starting new_bool_3 with 61s (1) cores
% 0.20/0.51 % Preprocessing time : 0.010 s
% 0.20/0.51 % Presaturation interreduction done
% 0.20/0.51
% 0.20/0.51 % Proof found!
% 0.20/0.51 % SZS status Theorem
% 0.20/0.51 % SZS output start CNFRefutation
% See solution above
% 0.20/0.51 % Parsed axioms : 805
% 0.20/0.51 % Removed by relevancy pruning/SinE : 574
% 0.20/0.51 % Initial clauses : 345
% 0.20/0.51 % Removed in clause preprocessing : 25
% 0.20/0.51 % Initial clauses in saturation : 320
% 0.20/0.51 % Processed clauses : 16
% 0.20/0.51 % ...of these trivial : 0
% 0.20/0.51 % ...subsumed : 4
% 0.20/0.51 % ...remaining for further processing : 11
% 0.20/0.51 % Other redundant clauses eliminated : 0
% 0.20/0.51 % Clauses deleted for lack of memory : 0
% 0.20/0.51 % Backward-subsumed : 0
% 0.20/0.51 % Backward-rewritten : 0
% 0.20/0.51 % Generated clauses : 0
% 0.20/0.51 % ...of the previous two non-redundant : 0
% 0.20/0.51 % ...aggressively subsumed : 0
% 0.20/0.51 % Contextual simplify-reflections : 0
% 0.20/0.51 % Paramodulations : 0
% 0.20/0.51 % Factorizations : 0
% 0.20/0.51 % NegExts : 0
% 0.20/0.51 % Equation resolutions : 0
% 0.20/0.51 % Disequality decompositions : 0
% 0.20/0.51 % Total rewrite steps : 0
% 0.20/0.51 % ...of those cached : 0
% 0.20/0.51 % Propositional unsat checks : 0
% 0.20/0.51 % Propositional check models : 0
% 0.20/0.51 % Propositional check unsatisfiable : 0
% 0.20/0.51 % Propositional clauses : 0
% 0.20/0.51 % Propositional clauses after purity: 0
% 0.20/0.51 % Propositional unsat core size : 0
% 0.20/0.51 % Propositional preprocessing time : 0.000
% 0.20/0.51 % Propositional encoding time : 0.000
% 0.20/0.51 % Propositional solver time : 0.000
% 0.20/0.51 % Success case prop preproc time : 0.000
% 0.20/0.51 % Success case prop encoding time : 0.000
% 0.20/0.51 % Success case prop solver time : 0.000
% 0.20/0.51 % Current number of processed clauses : 11
% 0.20/0.51 % Positive orientable unit clauses : 5
% 0.20/0.51 % Positive unorientable unit clauses: 0
% 0.20/0.51 % Negative unit clauses : 5
% 0.20/0.51 % Non-unit-clauses : 1
% 0.20/0.51 % Current number of unprocessed clauses: 304
% 0.20/0.51 % ...number of literals in the above : 640
% 0.20/0.51 % Current number of archived formulas : 0
% 0.20/0.51 % Current number of archived clauses : 0
% 0.20/0.51 % Clause-clause subsumption calls (NU) : 0
% 0.20/0.51 % Rec. Clause-clause subsumption calls : 0
% 0.20/0.51 % Non-unit clause-clause subsumptions : 0
% 0.20/0.51 % Unit Clause-clause subsumption calls : 4
% 0.20/0.51 % Rewrite failures with RHS unbound : 0
% 0.20/0.51 % BW rewrite match attempts : 0
% 0.20/0.51 % BW rewrite match successes : 0
% 0.20/0.51 % Condensation attempts : 0
% 0.20/0.51 % Condensation successes : 0
% 0.20/0.51 % Termbank termtop insertions : 44839
% 0.20/0.51 % Search garbage collected termcells : 12283
% 0.20/0.51
% 0.20/0.51 % -------------------------------------------------
% 0.20/0.51 % User time : 0.033 s
% 0.20/0.51 % System time : 0.008 s
% 0.20/0.51 % Total time : 0.041 s
% 0.20/0.51 % Maximum resident set size: 7680 pages
% 0.20/0.51
% 0.20/0.51 % -------------------------------------------------
% 0.20/0.51 % User time : 0.079 s
% 0.20/0.51 % System time : 0.016 s
% 0.20/0.51 % Total time : 0.095 s
% 0.20/0.51 % Maximum resident set size: 6144 pages
% 0.20/0.51 % E exiting
%------------------------------------------------------------------------------