%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SCT171+1 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 02:08:02 PM UTC 2026
% Result : Theorem 0.16s 10.54s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 9 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 3 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 26 ( 26 usr; 13 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(fact_14_PW,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_PW) ).
fof(fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto,axiom,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).
fof(c_0_3,negated_conjecture,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_4,negated_conjecture,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_5,plain,
( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e))))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))) ) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_14_PW])]) ).
fof(c_0_6,negated_conjecture,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e))))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))),
inference(split_conjunct,[status(thm)],[fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto]) ).
cnf(c_0_10,plain,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))),
inference(sr,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,plain,
$false,
inference(sr,[status(thm)],[c_0_9,c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT171+1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/10.41 % Computer : n004.cluster.edu
% 0.12/10.41 % Model : x86_64 x86_64
% 0.12/10.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.41 % Memory : 8046.5625MB
% 0.12/10.41 % OS : Linux 6.8.0-71-generic
% 0.12/10.41 % CPULimit : 300
% 0.12/10.41 % WCLimit : 300
% 0.12/10.41 % DateTime : Mon Sep 21 04:37:16 UTC 2026
% 0.12/10.41 % CPUTime :
% 0.12/10.41 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/10.46 Running first-order theorem proving
% 0.12/10.46 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
% 0.16/10.54 % Version: 3.5.1
% 0.16/10.54 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.16/10.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/10.54 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.16/10.54 % Starting new_bool_3 with 600s (2) cores
% 0.16/10.54 % Starting new_bool_1 with 300s (1) cores
% 0.16/10.54 % Starting sh5l with 300s (1) cores
% 0.16/10.54 % new_bool_3 with pid 2255092 completed with status 0
% 0.16/10.54 % Result found by new_bool_3
% 0.16/10.54 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.16/10.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/10.54 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.16/10.54 % Starting new_bool_3 with 600s (2) cores
% 0.16/10.54 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/10.54 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/10.54 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.16/10.54 % Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 0.16/10.54 % Starting SubtermCWHack with 55s (1) cores
% 0.16/10.54 % Starting new_bool_3 with 61s (1) cores
% 0.16/10.54 % new_bool_3 with pid 2255097 completed with status 0
% 0.16/10.54 % Result found by new_bool_3
% 0.16/10.54 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.16/10.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/10.54 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.16/10.54 % Starting new_bool_3 with 600s (2) cores
% 0.16/10.54 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/10.54 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/10.54 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.16/10.54 % Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 0.16/10.54 % Starting SubtermCWHack with 55s (1) cores
% 0.16/10.54 % Starting new_bool_3 with 61s (1) cores
% 0.16/10.54 % Preprocessing time : 0.006 s
% 0.16/10.54 % Presaturation interreduction done
% 0.16/10.54
% 0.16/10.54 % Proof found!
% 0.16/10.54 % SZS status Theorem
% 0.16/10.54 % SZS output start CNFRefutation
% See solution above
% 0.16/10.54 % Parsed axioms : 322
% 0.16/10.54 % Removed by relevancy pruning/SinE : 209
% 0.16/10.54 % Initial clauses : 225
% 0.16/10.54 % Removed in clause preprocessing : 35
% 0.16/10.54 % Initial clauses in saturation : 190
% 0.16/10.54 % Processed clauses : 199
% 0.16/10.54 % ...of these trivial : 7
% 0.16/10.54 % ...subsumed : 46
% 0.16/10.54 % ...remaining for further processing : 145
% 0.16/10.54 % Other redundant clauses eliminated : 21
% 0.16/10.54 % Clauses deleted for lack of memory : 0
% 0.16/10.54 % Backward-subsumed : 0
% 0.16/10.54 % Backward-rewritten : 0
% 0.16/10.54 % Generated clauses : 19
% 0.16/10.54 % ...of the previous two non-redundant : 19
% 0.16/10.54 % ...aggressively subsumed : 0
% 0.16/10.54 % Contextual simplify-reflections : 0
% 0.16/10.54 % Paramodulations : 0
% 0.16/10.54 % Factorizations : 0
% 0.16/10.54 % NegExts : 0
% 0.16/10.54 % Equation resolutions : 21
% 0.16/10.54 % Disequality decompositions : 0
% 0.16/10.54 % Total rewrite steps : 14
% 0.16/10.54 % ...of those cached : 9
% 0.16/10.54 % Propositional unsat checks : 0
% 0.16/10.54 % Propositional check models : 0
% 0.16/10.54 % Propositional check unsatisfiable : 0
% 0.16/10.54 % Propositional clauses : 0
% 0.16/10.54 % Propositional clauses after purity: 0
% 0.16/10.54 % Propositional unsat core size : 0
% 0.16/10.54 % Propositional preprocessing time : 0.000
% 0.16/10.54 % Propositional encoding time : 0.000
% 0.16/10.54 % Propositional solver time : 0.000
% 0.16/10.54 % Success case prop preproc time : 0.000
% 0.16/10.54 % Success case prop encoding time : 0.000
% 0.16/10.54 % Success case prop solver time : 0.000
% 0.16/10.54 % Current number of processed clauses : 126
% 0.16/10.54 % Positive orientable unit clauses : 27
% 0.16/10.54 % Positive unorientable unit clauses: 0
% 0.16/10.54 % Negative unit clauses : 6
% 0.16/10.54 % Non-unit-clauses : 93
% 0.16/10.54 % Current number of unprocessed clauses: 10
% 0.16/10.54 % ...number of literals in the above : 94
% 0.16/10.54 % Current number of archived formulas : 0
% 0.16/10.54 % Current number of archived clauses : 0
% 0.16/10.54 % Clause-clause subsumption calls (NU) : 8181
% 0.16/10.54 % Rec. Clause-clause subsumption calls : 926
% 0.16/10.54 % Non-unit clause-clause subsumptions : 36
% 0.16/10.54 % Unit Clause-clause subsumption calls : 17
% 0.16/10.54 % Rewrite failures with RHS unbound : 0
% 0.16/10.54 % BW rewrite match attempts : 9
% 0.16/10.54 % BW rewrite match successes : 0
% 0.16/10.54 % Condensation attempts : 0
% 0.16/10.54 % Condensation successes : 0
% 0.16/10.54 % Termbank termtop insertions : 28356
% 0.16/10.54 % Search garbage collected termcells : 5097
% 0.16/10.54
% 0.16/10.54 % -------------------------------------------------
% 0.16/10.54 % User time : 0.033 s
% 0.16/10.54 % System time : 0.005 s
% 0.16/10.54 % Total time : 0.038 s
% 0.16/10.54 % Maximum resident set size: 4892 pages
% 0.16/10.54
% 0.16/10.54 % -------------------------------------------------
% 0.16/10.54 % User time : 0.060 s
% 0.16/10.54 % System time : 0.012 s
% 0.16/10.54 % Total time : 0.072 s
% 0.16/10.54 % Maximum resident set size: 5376 pages
% 0.16/10.54 % E exiting
%------------------------------------------------------------------------------