%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL785-1 : 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 : n017.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 01:16:25 PM UTC 2026
% Result : Unsatisfiable 0.15s 5.70s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 14 unt; 0 nHn; 12 RR)
% Number of literals : 14 ( 6 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 11 con; 0-5 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_True_0,axiom,
v_n____ = v_i____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_True_0) ).
cnf(cls_nT_0,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nT_0) ).
cnf(cls_foldl__Cons_0,axiom,
c_List_Ofoldl(X1,X2,c_List_Olist_OCons(X3,X4,X5),X6,X5) = c_List_Ofoldl(X1,hAPP(hAPP(X1,X2),X3),X4,X6,X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_foldl__Cons_0) ).
cnf(cls_Cons_0,axiom,
v_rs____ = c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Cons_0) ).
cnf(c_0_5,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_6,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
c_0_5 ).
cnf(c_0_7,axiom,
v_n____ = v_i____,
cls_True_0 ).
cnf(c_0_8,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
cls_nT_0 ).
cnf(c_0_9,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
inference(rw,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,axiom,
c_List_Ofoldl(X1,X2,c_List_Olist_OCons(X3,X4,X5),X6,X5) = c_List_Ofoldl(X1,hAPP(hAPP(X1,X2),X3),X4,X6,X5),
cls_foldl__Cons_0 ).
cnf(c_0_11,axiom,
v_rs____ = c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),
cls_Cons_0 ).
cnf(c_0_12,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
inference(rw,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL785-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/5.59 % Computer : n017.cluster.edu
% 0.11/5.59 % Model : x86_64 x86_64
% 0.11/5.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.59 % Memory : 8046.5625MB
% 0.11/5.59 % OS : Linux 6.8.0-71-generic
% 0.11/5.59 % CPULimit : 300
% 0.11/5.59 % WCLimit : 300
% 0.11/5.59 % DateTime : Mon Sep 21 00:59:47 UTC 2026
% 0.11/5.59 % CPUTime :
% 0.11/5.60 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/5.64 Running first-order theorem proving
% 0.15/5.64 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
% 0.15/5.70 % Version: 3.5.1
% 0.15/5.70 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.15/5.70 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.70 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.15/5.70 % Starting new_bool_3 with 600s (2) cores
% 0.15/5.70 % Starting new_bool_1 with 300s (1) cores
% 0.15/5.70 % Starting sh5l with 300s (1) cores
% 0.15/5.70 % G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with pid 1079873 completed with status 0
% 0.15/5.70 % Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S
% 0.15/5.70 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.15/5.70 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.70 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.15/5.70 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.70 % No SInE strategy applied
% 0.15/5.70 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.15/5.70 % Scheduled 11 strats onto 4 cores with 1200 seconds (1200 total)
% 0.15/5.70 % Starting SubtermCWHack with 121s (1) cores
% 0.15/5.70 % Starting G-E--_303_C18_F1_URBAN_S0Y with 110s (1) cores
% 0.15/5.70 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 110s (1) cores
% 0.15/5.70 % Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 110s (1) cores
% 0.15/5.70 % G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with pid 1079883 completed with status 0
% 0.15/5.70 % Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y
% 0.15/5.70 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.15/5.70 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.70 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.15/5.70 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.70 % No SInE strategy applied
% 0.15/5.70 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.15/5.70 % Scheduled 11 strats onto 4 cores with 1200 seconds (1200 total)
% 0.15/5.70 % Starting SubtermCWHack with 121s (1) cores
% 0.15/5.70 % Starting G-E--_303_C18_F1_URBAN_S0Y with 110s (1) cores
% 0.15/5.70 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 110s (1) cores
% 0.15/5.70 % Preprocessing time : 0.007 s
% 0.15/5.70 % Presaturation interreduction done
% 0.15/5.70
% 0.15/5.70 % Proof found!
% 0.15/5.70 % SZS status Unsatisfiable
% 0.15/5.70 % SZS output start CNFRefutation
% See solution above
% 0.15/5.70 % Parsed axioms : 418
% 0.15/5.70 % Removed by relevancy pruning/SinE : 0
% 0.15/5.70 % Initial clauses : 418
% 0.15/5.70 % Removed in clause preprocessing : 1
% 0.15/5.70 % Initial clauses in saturation : 417
% 0.15/5.70 % Processed clauses : 229
% 0.15/5.70 % ...of these trivial : 30
% 0.15/5.70 % ...subsumed : 23
% 0.15/5.70 % ...remaining for further processing : 176
% 0.15/5.70 % Other redundant clauses eliminated : 0
% 0.15/5.70 % Clauses deleted for lack of memory : 0
% 0.15/5.70 % Backward-subsumed : 0
% 0.15/5.70 % Backward-rewritten : 2
% 0.15/5.70 % Generated clauses : 0
% 0.15/5.70 % ...of the previous two non-redundant : 0
% 0.15/5.70 % ...aggressively subsumed : 0
% 0.15/5.70 % Contextual simplify-reflections : 0
% 0.15/5.70 % Paramodulations : 0
% 0.15/5.70 % Factorizations : 0
% 0.15/5.70 % NegExts : 0
% 0.15/5.70 % Equation resolutions : 0
% 0.15/5.70 % Disequality decompositions : 0
% 0.15/5.70 % Total rewrite steps : 39
% 0.15/5.70 % ...of those cached : 12
% 0.15/5.70 % Propositional unsat checks : 0
% 0.15/5.70 % Propositional check models : 0
% 0.15/5.70 % Propositional check unsatisfiable : 0
% 0.15/5.70 % Propositional clauses : 0
% 0.15/5.70 % Propositional clauses after purity: 0
% 0.15/5.70 % Propositional unsat core size : 0
% 0.15/5.70 % Propositional preprocessing time : 0.000
% 0.15/5.70 % Propositional encoding time : 0.000
% 0.15/5.70 % Propositional solver time : 0.000
% 0.15/5.70 % Success case prop preproc time : 0.000
% 0.15/5.70 % Success case prop encoding time : 0.000
% 0.15/5.70 % Success case prop solver time : 0.000
% 0.15/5.70 % Current number of processed clauses : 174
% 0.15/5.70 % Positive orientable unit clauses : 61
% 0.15/5.70 % Positive unorientable unit clauses: 5
% 0.15/5.70 % Negative unit clauses : 14
% 0.15/5.70 % Non-unit-clauses : 94
% 0.15/5.70 % Current number of unprocessed clauses: 188
% 0.15/5.70 % ...number of literals in the above : 448
% 0.15/5.70 % Current number of archived formulas : 0
% 0.15/5.70 % Current number of archived clauses : 3
% 0.15/5.70 % Clause-clause subsumption calls (NU) : 1513
% 0.15/5.70 % Rec. Clause-clause subsumption calls : 1396
% 0.15/5.70 % Non-unit clause-clause subsumptions : 13
% 0.15/5.70 % Unit Clause-clause subsumption calls : 133
% 0.15/5.70 % Rewrite failures with RHS unbound : 442
% 0.15/5.70 % BW rewrite match attempts : 154
% 0.15/5.70 % BW rewrite match successes : 138
% 0.15/5.70 % Condensation attempts : 0
% 0.15/5.70 % Condensation successes : 0
% 0.15/5.70 % Termbank termtop insertions : 12043
% 0.15/5.70 % Search garbage collected termcells : 719
% 0.15/5.70
% 0.15/5.70 % -------------------------------------------------
% 0.15/5.70 % User time : 0.023 s
% 0.15/5.70 % System time : 0.006 s
% 0.15/5.70 % Total time : 0.029 s
% 0.15/5.70 % Maximum resident set size: 4428 pages
% 0.15/5.70
% 0.15/5.70 % -------------------------------------------------
% 0.15/5.70 % User time : 0.074 s
% 0.15/5.70 % System time : 0.029 s
% 0.15/5.70 % Total time : 0.103 s
% 0.15/5.70 % Maximum resident set size: 4864 pages
% 0.15/5.70 % E exiting
%------------------------------------------------------------------------------