%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL835-1 : 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 : n005.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 01:16:34 PM UTC 2026
% Result : Unsatisfiable 1.43s 0.65s
% Output : CNFRefutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 8 unt; 0 nHn; 12 RR)
% Number of literals : 19 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 13 con; 0-5 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_subject__reduction_0,axiom,
( ~ c_Type_Otyping(X1,X4,X3)
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X4),X2))
| c_Type_Otyping(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subject__reduction_0) ).
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(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_CHAINED_0,axiom,
hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(cls_T_0,axiom,
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_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_T_0) ).
cnf(c_0_4,plain,
( ~ c_Type_Otyping(X1,X4,X3)
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X4),X2))
| c_Type_Otyping(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[cls_subject__reduction_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(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_6,plain,
( ~ c_Type_Otyping(X1,X4,X3)
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X4),X2))
| c_Type_Otyping(X1,X2,X3) ),
c_0_4 ).
cnf(c_0_7,axiom,
hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))),
cls_CHAINED_0 ).
cnf(c_0_8,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(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
c_0_5 ).
cnf(c_0_9,plain,
( ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),X2)
| c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,axiom,
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_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
cls_T_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 : LCL835-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 01:07:03 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 1.43/0.65 % Version: 3.5.1
% 1.43/0.65 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.43/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.43/0.65 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.43/0.65 % Starting new_bool_3 with 300s (1) cores
% 1.43/0.65 % Starting new_bool_1 with 300s (1) cores
% 1.43/0.65 % Starting sh5l with 300s (1) cores
% 1.43/0.65 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2213682 completed with status 0
% 1.43/0.65 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 1.43/0.65 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.43/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.43/0.65 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.43/0.65 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.43/0.65 % No SInE strategy applied
% 1.43/0.65 % Search class: FGHSM-FSLM32-DFFFFFNN
% 1.43/0.65 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 1.43/0.65 % Starting SubtermCWHack with 136s (1) cores
% 1.43/0.65 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1.43/0.65 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 1.43/0.65 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 1.43/0.65 % Starting U----_206c_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 1.43/0.65 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2213694 completed with status 0
% 1.43/0.65 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 1.43/0.65 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.43/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.43/0.65 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.43/0.65 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.43/0.65 % No SInE strategy applied
% 1.43/0.65 % Search class: FGHSM-FSLM32-DFFFFFNN
% 1.43/0.65 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 1.43/0.65 % Starting SubtermCWHack with 136s (1) cores
% 1.43/0.65 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1.43/0.65 % Preprocessing time : 0.009 s
% 1.43/0.65 % Presaturation interreduction done
% 1.43/0.65
% 1.43/0.65 % Proof found!
% 1.43/0.65 % SZS status Unsatisfiable
% 1.43/0.65 % SZS output start CNFRefutation
% See solution above
% 1.43/0.65 % Parsed axioms : 494
% 1.43/0.65 % Removed by relevancy pruning/SinE : 0
% 1.43/0.65 % Initial clauses : 494
% 1.43/0.65 % Removed in clause preprocessing : 1
% 1.43/0.65 % Initial clauses in saturation : 493
% 1.43/0.65 % Processed clauses : 1964
% 1.43/0.65 % ...of these trivial : 62
% 1.43/0.65 % ...subsumed : 932
% 1.43/0.65 % ...remaining for further processing : 970
% 1.43/0.65 % Other redundant clauses eliminated : 47
% 1.43/0.65 % Clauses deleted for lack of memory : 0
% 1.43/0.65 % Backward-subsumed : 7
% 1.43/0.65 % Backward-rewritten : 8
% 1.43/0.65 % Generated clauses : 6485
% 1.43/0.65 % ...of the previous two non-redundant : 5788
% 1.43/0.65 % ...aggressively subsumed : 0
% 1.43/0.65 % Contextual simplify-reflections : 0
% 1.43/0.65 % Paramodulations : 6408
% 1.43/0.65 % Factorizations : 4
% 1.43/0.65 % NegExts : 0
% 1.43/0.65 % Equation resolutions : 73
% 1.43/0.65 % Disequality decompositions : 0
% 1.43/0.65 % Total rewrite steps : 3179
% 1.43/0.65 % ...of those cached : 2767
% 1.43/0.65 % Propositional unsat checks : 0
% 1.43/0.65 % Propositional check models : 0
% 1.43/0.65 % Propositional check unsatisfiable : 0
% 1.43/0.65 % Propositional clauses : 0
% 1.43/0.65 % Propositional clauses after purity: 0
% 1.43/0.65 % Propositional unsat core size : 0
% 1.43/0.65 % Propositional preprocessing time : 0.000
% 1.43/0.65 % Propositional encoding time : 0.000
% 1.43/0.65 % Propositional solver time : 0.000
% 1.43/0.65 % Success case prop preproc time : 0.000
% 1.43/0.65 % Success case prop encoding time : 0.000
% 1.43/0.65 % Success case prop solver time : 0.000
% 1.43/0.65 % Current number of processed clauses : 577
% 1.43/0.65 % Positive orientable unit clauses : 114
% 1.43/0.65 % Positive unorientable unit clauses: 7
% 1.43/0.65 % Negative unit clauses : 86
% 1.43/0.65 % Non-unit-clauses : 370
% 1.43/0.65 % Current number of unprocessed clauses: 4688
% 1.43/0.65 % ...number of literals in the above : 9463
% 1.43/0.65 % Current number of archived formulas : 0
% 1.43/0.65 % Current number of archived clauses : 394
% 1.43/0.65 % Clause-clause subsumption calls (NU) : 30553
% 1.43/0.65 % Rec. Clause-clause subsumption calls : 24194
% 1.43/0.65 % Non-unit clause-clause subsumptions : 314
% 1.43/0.65 % Unit Clause-clause subsumption calls : 4310
% 1.43/0.65 % Rewrite failures with RHS unbound : 0
% 1.43/0.65 % BW rewrite match attempts : 280
% 1.43/0.65 % BW rewrite match successes : 65
% 1.43/0.65 % Condensation attempts : 0
% 1.43/0.65 % Condensation successes : 0
% 1.43/0.65 % Termbank termtop insertions : 108233
% 1.43/0.65 % Search garbage collected termcells : 872
% 1.43/0.65
% 1.43/0.65 % -------------------------------------------------
% 1.43/0.65 % User time : 0.198 s
% 1.43/0.65 % System time : 0.014 s
% 1.43/0.65 % Total time : 0.212 s
% 1.43/0.65 % Maximum resident set size: 4492 pages
% 1.43/0.65
% 1.43/0.65 % -------------------------------------------------
% 1.43/0.65 % User time : 0.890 s
% 1.43/0.65 % System time : 0.064 s
% 1.43/0.66 % Total time : 0.954 s
% 1.43/0.66 % Maximum resident set size: 5120 pages
% 1.43/0.66 % E exiting
%------------------------------------------------------------------------------