%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL805-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 01:16:29 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.47s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 4 RR)
% Number of literals : 8 ( 2 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-5 aty)
% Number of variables : 10 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Nil__is__map__conv_1,axiom,
c_List_Olist_ONil(X1) = c_List_Omap(X2,c_List_Olist_ONil(X3),X3,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nil__is__map__conv_1) ).
cnf(cls_listsp_ONil_0,axiom,
c_List_Olistsp(X1,c_List_Olist_ONil(X2),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_listsp_ONil_0) ).
cnf(c_0_3,negated_conjecture,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_4,negated_conjecture,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
c_0_3 ).
cnf(c_0_5,axiom,
c_List_Olist_ONil(X1) = c_List_Omap(X2,c_List_Olist_ONil(X3),X3,X1),
cls_Nil__is__map__conv_1 ).
cnf(c_0_6,axiom,
c_List_Olistsp(X1,c_List_Olist_ONil(X2),X2),
cls_listsp_ONil_0 ).
cnf(c_0_7,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_5]),c_0_6])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL805-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 01:05:06 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.19/0.47 % Version: 3.5.1
% 0.19/0.47 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.19/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.47 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.19/0.47 % Starting new_bool_3 with 600s (2) cores
% 0.19/0.47 % Starting new_bool_1 with 300s (1) cores
% 0.19/0.47 % Starting sh5l with 300s (1) cores
% 0.19/0.47 % new_bool_3 with pid 3825519 completed with status 0
% 0.19/0.47 % Result found by new_bool_3
% 0.19/0.47 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.19/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.47 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.19/0.47 % Starting new_bool_3 with 600s (2) cores
% 0.19/0.47 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.19/0.47 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.47 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.19/0.47 % Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 0.19/0.47 % Starting SubtermCWHack with 55s (1) cores
% 0.19/0.47 % Starting new_bool_3 with 61s (1) cores
% 0.19/0.47 % new_bool_3 with pid 3825524 completed with status 0
% 0.19/0.47 % Result found by new_bool_3
% 0.19/0.47 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.19/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.47 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.19/0.47 % Starting new_bool_3 with 600s (2) cores
% 0.19/0.47 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.19/0.47 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.47 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.19/0.47 % Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 0.19/0.47 % Starting SubtermCWHack with 55s (1) cores
% 0.19/0.47 % Starting new_bool_3 with 61s (1) cores
% 0.19/0.47 % Preprocessing time : 0.004 s
% 0.19/0.47 % Presaturation interreduction done
% 0.19/0.47
% 0.19/0.47 % Proof found!
% 0.19/0.47 % SZS status Unsatisfiable
% 0.19/0.47 % SZS output start CNFRefutation
% See solution above
% 0.19/0.47 % Parsed axioms : 919
% 0.19/0.47 % Removed by relevancy pruning/SinE : 433
% 0.19/0.47 % Initial clauses : 486
% 0.19/0.47 % Removed in clause preprocessing : 0
% 0.19/0.47 % Initial clauses in saturation : 486
% 0.19/0.47 % Processed clauses : 590
% 0.19/0.47 % ...of these trivial : 54
% 0.19/0.47 % ...subsumed : 85
% 0.19/0.47 % ...remaining for further processing : 451
% 0.19/0.47 % Other redundant clauses eliminated : 4
% 0.19/0.47 % Clauses deleted for lack of memory : 0
% 0.19/0.47 % Backward-subsumed : 3
% 0.19/0.47 % Backward-rewritten : 14
% 0.19/0.47 % Generated clauses : 52
% 0.19/0.47 % ...of the previous two non-redundant : 34
% 0.19/0.47 % ...aggressively subsumed : 0
% 0.19/0.47 % Contextual simplify-reflections : 1
% 0.19/0.47 % Paramodulations : 44
% 0.19/0.47 % Factorizations : 0
% 0.19/0.47 % NegExts : 0
% 0.19/0.47 % Equation resolutions : 8
% 0.19/0.47 % Disequality decompositions : 0
% 0.19/0.47 % Total rewrite steps : 150
% 0.19/0.47 % ...of those cached : 64
% 0.19/0.47 % Propositional unsat checks : 0
% 0.19/0.47 % Propositional check models : 0
% 0.19/0.47 % Propositional check unsatisfiable : 0
% 0.19/0.47 % Propositional clauses : 0
% 0.19/0.47 % Propositional clauses after purity: 0
% 0.19/0.47 % Propositional unsat core size : 0
% 0.19/0.47 % Propositional preprocessing time : 0.000
% 0.19/0.47 % Propositional encoding time : 0.000
% 0.19/0.47 % Propositional solver time : 0.000
% 0.19/0.47 % Success case prop preproc time : 0.000
% 0.19/0.47 % Success case prop encoding time : 0.000
% 0.19/0.47 % Success case prop solver time : 0.000
% 0.19/0.47 % Current number of processed clauses : 82
% 0.19/0.47 % Positive orientable unit clauses : 41
% 0.19/0.47 % Positive unorientable unit clauses: 0
% 0.19/0.47 % Negative unit clauses : 15
% 0.19/0.47 % Non-unit-clauses : 26
% 0.19/0.47 % Current number of unprocessed clauses: 282
% 0.19/0.47 % ...number of literals in the above : 560
% 0.19/0.47 % Current number of archived formulas : 0
% 0.19/0.47 % Current number of archived clauses : 369
% 0.19/0.47 % Clause-clause subsumption calls (NU) : 11267
% 0.19/0.47 % Rec. Clause-clause subsumption calls : 9906
% 0.19/0.47 % Non-unit clause-clause subsumptions : 60
% 0.19/0.47 % Unit Clause-clause subsumption calls : 539
% 0.19/0.47 % Rewrite failures with RHS unbound : 0
% 0.19/0.47 % BW rewrite match attempts : 122
% 0.19/0.47 % BW rewrite match successes : 34
% 0.19/0.47 % Condensation attempts : 0
% 0.19/0.47 % Condensation successes : 0
% 0.19/0.47 % Termbank termtop insertions : 21498
% 0.19/0.47 % Search garbage collected termcells : 2351
% 0.19/0.47
% 0.19/0.47 % -------------------------------------------------
% 0.19/0.47 % User time : 0.028 s
% 0.19/0.47 % System time : 0.008 s
% 0.19/0.47 % Total time : 0.036 s
% 0.19/0.47 % Maximum resident set size: 4812 pages
% 0.19/0.47
% 0.19/0.47 % -------------------------------------------------
% 0.19/0.47 % User time : 0.059 s
% 0.19/0.47 % System time : 0.015 s
% 0.19/0.47 % Total time : 0.074 s
% 0.19/0.47 % Maximum resident set size: 5376 pages
% 0.19/0.47 % E exiting
%------------------------------------------------------------------------------