%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL848-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 01:16:36 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.53s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 6 RR)
% Number of literals : 12 ( 0 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-5 aty)
% Number of variables : 6 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_IT_OVar_0,axiom,
( ~ c_List_Olistsp(c_InductTermi_OIT,X2,tc_Lambda_OdB)
| hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IT_OVar_0) ).
cnf(cls_CHAINED_0,axiom,
c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(c_0_3,negated_conjecture,
~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_4,plain,
( ~ c_List_Olistsp(c_InductTermi_OIT,X2,tc_Lambda_OdB)
| hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB))) ),
inference(fof_simplification,[status(thm)],[cls_IT_OVar_0]) ).
cnf(c_0_5,negated_conjecture,
~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))),
c_0_3 ).
cnf(c_0_6,plain,
( ~ c_List_Olistsp(c_InductTermi_OIT,X2,tc_Lambda_OdB)
| hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB))) ),
c_0_4 ).
cnf(c_0_7,axiom,
c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),
cls_CHAINED_0 ).
cnf(c_0_8,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL848-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n003.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 01:09:46 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 0.18/0.53 % Version: 3.5.1
% 0.18/0.53 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.53 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.53 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.53 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.53 % Starting sh5l with 300s (1) cores
% 0.18/0.53 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3067351 completed with status 0
% 0.18/0.53 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.18/0.53 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.53 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.18/0.53 % No SInE strategy applied
% 0.18/0.53 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.18/0.53 % Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.53 % Starting SubtermCWHack with 136s (1) cores
% 0.18/0.53 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.18/0.53 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 123s (1) cores
% 0.18/0.53 % Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 0.18/0.53 % Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 123s (1) cores
% 0.18/0.53 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3067358 completed with status 0
% 0.18/0.53 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.18/0.53 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.53 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.18/0.53 % No SInE strategy applied
% 0.18/0.53 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.18/0.53 % Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.53 % Starting SubtermCWHack with 136s (1) cores
% 0.18/0.53 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.18/0.53 % Preprocessing time : 0.006 s
% 0.18/0.53 % Presaturation interreduction done
% 0.18/0.53
% 0.18/0.53 % Proof found!
% 0.18/0.53 % SZS status Unsatisfiable
% 0.18/0.53 % SZS output start CNFRefutation
% See solution above
% 0.18/0.53 % Parsed axioms : 723
% 0.18/0.53 % Removed by relevancy pruning/SinE : 0
% 0.18/0.53 % Initial clauses : 723
% 0.18/0.53 % Removed in clause preprocessing : 0
% 0.18/0.53 % Initial clauses in saturation : 723
% 0.18/0.53 % Processed clauses : 1200
% 0.18/0.53 % ...of these trivial : 53
% 0.18/0.53 % ...subsumed : 198
% 0.18/0.53 % ...remaining for further processing : 949
% 0.18/0.53 % Other redundant clauses eliminated : 8
% 0.18/0.53 % Clauses deleted for lack of memory : 0
% 0.18/0.53 % Backward-subsumed : 2
% 0.18/0.53 % Backward-rewritten : 8
% 0.18/0.53 % Generated clauses : 877
% 0.18/0.53 % ...of the previous two non-redundant : 655
% 0.18/0.53 % ...aggressively subsumed : 0
% 0.18/0.53 % Contextual simplify-reflections : 0
% 0.18/0.53 % Paramodulations : 853
% 0.18/0.53 % Factorizations : 2
% 0.18/0.53 % NegExts : 0
% 0.18/0.53 % Equation resolutions : 22
% 0.18/0.53 % Disequality decompositions : 0
% 0.18/0.53 % Total rewrite steps : 506
% 0.18/0.53 % ...of those cached : 388
% 0.18/0.53 % Propositional unsat checks : 0
% 0.18/0.53 % Propositional check models : 0
% 0.18/0.53 % Propositional check unsatisfiable : 0
% 0.18/0.53 % Propositional clauses : 0
% 0.18/0.53 % Propositional clauses after purity: 0
% 0.18/0.53 % Propositional unsat core size : 0
% 0.18/0.53 % Propositional preprocessing time : 0.000
% 0.18/0.53 % Propositional encoding time : 0.000
% 0.18/0.53 % Propositional solver time : 0.000
% 0.18/0.53 % Success case prop preproc time : 0.000
% 0.18/0.53 % Success case prop encoding time : 0.000
% 0.18/0.53 % Success case prop solver time : 0.000
% 0.18/0.53 % Current number of processed clauses : 352
% 0.18/0.53 % Positive orientable unit clauses : 137
% 0.18/0.53 % Positive unorientable unit clauses: 1
% 0.18/0.53 % Negative unit clauses : 31
% 0.18/0.53 % Non-unit-clauses : 183
% 0.18/0.53 % Current number of unprocessed clauses: 765
% 0.18/0.53 % ...number of literals in the above : 1821
% 0.18/0.53 % Current number of archived formulas : 0
% 0.18/0.53 % Current number of archived clauses : 597
% 0.18/0.53 % Clause-clause subsumption calls (NU) : 23911
% 0.18/0.53 % Rec. Clause-clause subsumption calls : 17810
% 0.18/0.53 % Non-unit clause-clause subsumptions : 81
% 0.18/0.53 % Unit Clause-clause subsumption calls : 626
% 0.18/0.53 % Rewrite failures with RHS unbound : 7
% 0.18/0.53 % BW rewrite match attempts : 123
% 0.18/0.53 % BW rewrite match successes : 10
% 0.18/0.53 % Condensation attempts : 0
% 0.18/0.53 % Condensation successes : 0
% 0.18/0.53 % Termbank termtop insertions : 36704
% 0.18/0.53 % Search garbage collected termcells : 1215
% 0.18/0.53
% 0.18/0.53 % -------------------------------------------------
% 0.18/0.53 % User time : 0.061 s
% 0.18/0.53 % System time : 0.009 s
% 0.18/0.53 % Total time : 0.069 s
% 0.18/0.53 % Maximum resident set size: 4924 pages
% 0.18/0.53
% 0.18/0.53 % -------------------------------------------------
% 0.18/0.53 % User time : 0.300 s
% 0.18/0.53 % System time : 0.035 s
% 0.18/0.53 % Total time : 0.335 s
% 0.18/0.53 % Maximum resident set size: 5376 pages
% 0.18/0.53 % E exiting
%------------------------------------------------------------------------------