%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL815-1 : 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 01:16:30 PM UTC 2026
% Result : Unsatisfiable 3.57s 0.94s
% Output : CNFRefutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 9 unt; 0 nHn; 7 RR)
% Number of literals : 15 ( 2 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 12 con; 0-5 aty)
% Number of variables : 25 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ c_Type_Otypings(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_foldr__foldl_0,axiom,
c_List_Ofoldr(X1,X2,X3,X4,X5) = c_List_Ofoldl(c_COMBC(X1,X4,X5,X5),X3,c_List_Orev(X2,X4),X5,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_foldr__foldl_0) ).
cnf(cls_lift__types_0,axiom,
( ~ c_Type_Otypings(X1,X4,X5)
| c_Type_Otypings(c_Type_Oshift(X1,X2,X3,tc_Type_Otype),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X2),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lift__types_0) ).
cnf(cls_CHAINED_0,axiom,
c_Type_Otypings(v_e____,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(c_0_4,negated_conjecture,
~ c_Type_Otypings(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_5,negated_conjecture,
~ c_Type_Otypings(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____),
c_0_4 ).
cnf(c_0_6,axiom,
c_List_Ofoldr(X1,X2,X3,X4,X5) = c_List_Ofoldl(c_COMBC(X1,X4,X5,X5),X3,c_List_Orev(X2,X4),X5,X4),
cls_foldr__foldl_0 ).
cnf(c_0_7,plain,
( ~ c_Type_Otypings(X1,X4,X5)
| c_Type_Otypings(c_Type_Oshift(X1,X2,X3,tc_Type_Otype),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X2),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5) ),
inference(fof_simplification,[status(thm)],[cls_lift__types_0]) ).
cnf(c_0_8,negated_conjecture,
~ c_Type_Otypings(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),v_T_H____,c_List_Orev(v_Ts____,tc_Type_Otype),tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____),
inference(rw,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,plain,
( ~ c_Type_Otypings(X1,X4,X5)
| c_Type_Otypings(c_Type_Oshift(X1,X2,X3,tc_Type_Otype),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X2),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5) ),
c_0_7 ).
cnf(c_0_10,axiom,
c_Type_Otypings(v_e____,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____),
cls_CHAINED_0 ).
cnf(c_0_11,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL815-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n013.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 01:05:36 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 3.57/0.94 % Version: 3.5.1
% 3.57/0.94 % Preprocessing class: FSLMSMSMSSSNFFN.
% 3.57/0.94 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.57/0.94 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 3.57/0.94 % Starting new_bool_3 with 600s (2) cores
% 3.57/0.94 % Starting new_bool_1 with 300s (1) cores
% 3.57/0.94 % Starting sh5l with 300s (1) cores
% 3.57/0.94 % G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with pid 3826963 completed with status 0
% 3.57/0.94 % Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S
% 3.57/0.94 % Preprocessing class: FSLMSMSMSSSNFFN.
% 3.57/0.94 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.57/0.94 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 3.57/0.94 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.57/0.94 % No SInE strategy applied
% 3.57/0.94 % Search class: FGHSM-FSLM32-DFFFFFNN
% 3.57/0.94 % Scheduled 13 strats onto 4 cores with 1200 seconds (1200 total)
% 3.57/0.94 % Starting SubtermCWHack with 109s (1) cores
% 3.57/0.94 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 3.57/0.94 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 90s (1) cores
% 3.57/0.94 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 90s (1) cores
% 3.57/0.94 % G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with pid 3826989 completed with status 0
% 3.57/0.94 % Result found by G-E--_300_C18_F1_SE_CS_SP_PS_S0Y
% 3.57/0.94 % Preprocessing class: FSLMSMSMSSSNFFN.
% 3.57/0.94 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.57/0.94 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 3.57/0.94 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.57/0.94 % No SInE strategy applied
% 3.57/0.94 % Search class: FGHSM-FSLM32-DFFFFFNN
% 3.57/0.94 % Scheduled 13 strats onto 4 cores with 1200 seconds (1200 total)
% 3.57/0.94 % Starting SubtermCWHack with 109s (1) cores
% 3.57/0.94 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 3.57/0.94 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 90s (1) cores
% 3.57/0.94 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 90s (1) cores
% 3.57/0.94 % Preprocessing time : 0.019 s
% 3.57/0.94 % Presaturation interreduction done
% 3.57/0.94
% 3.57/0.94 % Proof found!
% 3.57/0.94 % SZS status Unsatisfiable
% 3.57/0.94 % SZS output start CNFRefutation
% See solution above
% 3.57/0.94 % Parsed axioms : 817
% 3.57/0.94 % Removed by relevancy pruning/SinE : 0
% 3.57/0.94 % Initial clauses : 817
% 3.57/0.94 % Removed in clause preprocessing : 4
% 3.57/0.94 % Initial clauses in saturation : 813
% 3.57/0.94 % Processed clauses : 3002
% 3.57/0.94 % ...of these trivial : 216
% 3.57/0.94 % ...subsumed : 1539
% 3.57/0.94 % ...remaining for further processing : 1247
% 3.57/0.94 % Other redundant clauses eliminated : 374
% 3.57/0.94 % Clauses deleted for lack of memory : 0
% 3.57/0.94 % Backward-subsumed : 9
% 3.57/0.94 % Backward-rewritten : 21
% 3.57/0.94 % Generated clauses : 11836
% 3.57/0.94 % ...of the previous two non-redundant : 8269
% 3.57/0.94 % ...aggressively subsumed : 0
% 3.57/0.94 % Contextual simplify-reflections : 1
% 3.57/0.94 % Paramodulations : 11440
% 3.57/0.94 % Factorizations : 14
% 3.57/0.94 % NegExts : 0
% 3.57/0.94 % Equation resolutions : 382
% 3.57/0.94 % Disequality decompositions : 0
% 3.57/0.94 % Total rewrite steps : 7258
% 3.57/0.94 % ...of those cached : 6072
% 3.57/0.94 % Propositional unsat checks : 0
% 3.57/0.94 % Propositional check models : 0
% 3.57/0.94 % Propositional check unsatisfiable : 0
% 3.57/0.94 % Propositional clauses : 0
% 3.57/0.94 % Propositional clauses after purity: 0
% 3.57/0.94 % Propositional unsat core size : 0
% 3.57/0.94 % Propositional preprocessing time : 0.000
% 3.57/0.94 % Propositional encoding time : 0.000
% 3.57/0.94 % Propositional solver time : 0.000
% 3.57/0.94 % Success case prop preproc time : 0.000
% 3.57/0.94 % Success case prop encoding time : 0.000
% 3.57/0.94 % Success case prop solver time : 0.000
% 3.57/0.94 % Current number of processed clauses : 596
% 3.57/0.94 % Positive orientable unit clauses : 248
% 3.57/0.94 % Positive unorientable unit clauses: 17
% 3.57/0.94 % Negative unit clauses : 47
% 3.57/0.94 % Non-unit-clauses : 284
% 3.57/0.94 % Current number of unprocessed clauses: 6695
% 3.57/0.94 % ...number of literals in the above : 14899
% 3.57/0.94 % Current number of archived formulas : 0
% 3.57/0.94 % Current number of archived clauses : 655
% 3.57/0.94 % Clause-clause subsumption calls (NU) : 42026
% 3.57/0.94 % Rec. Clause-clause subsumption calls : 32141
% 3.57/0.94 % Non-unit clause-clause subsumptions : 1051
% 3.57/0.94 % Unit Clause-clause subsumption calls : 1825
% 3.57/0.94 % Rewrite failures with RHS unbound : 0
% 3.57/0.94 % BW rewrite match attempts : 236
% 3.57/0.94 % BW rewrite match successes : 71
% 3.57/0.94 % Condensation attempts : 0
% 3.57/0.94 % Condensation successes : 0
% 3.57/0.94 % Termbank termtop insertions : 155696
% 3.57/0.94 % Search garbage collected termcells : 1349
% 3.57/0.94
% 3.57/0.94 % -------------------------------------------------
% 3.57/0.94 % User time : 0.434 s
% 3.57/0.94 % System time : 0.034 s
% 3.57/0.94 % Total time : 0.468 s
% 3.57/0.94 % Maximum resident set size: 4980 pages
% 3.57/0.94
% 3.57/0.94 % -------------------------------------------------
% 3.57/0.94 % User time : 1.650 s
% 3.57/0.94 % System time : 0.102 s
% 3.57/0.94 % Total time : 1.752 s
% 3.57/0.94 % Maximum resident set size: 5376 pages
% 3.57/0.94 % E exiting
%------------------------------------------------------------------------------