%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : LCL795-1 : 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 : n014.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 01:23:21 PM UTC 2026
% Result : Unsatisfiable 0.71s 0.80s
% Output : CNFRefutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 9 unt; 0 nHn; 9 RR)
% Number of literals : 15 ( 2 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-5 aty)
% Number of variables : 15 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_T_0,axiom,
v_T____ = hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_T_0) ).
cnf(cls_lift__type_0,axiom,
( ~ c_Type_Otyping(X1,X4,X5)
| c_Type_Otyping(c_Type_Oshift(X1,X2,X3,tc_Type_Otype),c_Lambda_Olift(X4,X2),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lift__type_0) ).
cnf(cls_uT_0,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_uT_0) ).
cnf(c_0_4,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_5,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))),
c_0_4 ).
cnf(c_0_6,axiom,
v_T____ = hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
cls_T_0 ).
cnf(c_0_7,plain,
( ~ c_Type_Otyping(X1,X4,X5)
| c_Type_Otyping(c_Type_Oshift(X1,X2,X3,tc_Type_Otype),c_Lambda_Olift(X4,X2),X5) ),
inference(fof_simplification,[status(thm)],[cls_lift__type_0]) ).
cnf(c_0_8,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),v_T____),
inference(rw,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,plain,
( ~ c_Type_Otyping(X1,X4,X5)
| c_Type_Otyping(c_Type_Oshift(X1,X2,X3,tc_Type_Otype),c_Lambda_Olift(X4,X2),X5) ),
c_0_7 ).
cnf(c_0_10,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
cls_uT_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 : LCL795-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n014.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 01:05:05 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.44 Running first-order theorem proving
% 0.16/0.44 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
% 0.71/0.80 % Version: 3.5.1
% 0.71/0.80 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.71/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.71/0.80 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.71/0.80 % Starting new_bool_3 with 600s (2) cores
% 0.71/0.80 % Starting new_bool_1 with 300s (1) cores
% 0.71/0.80 % Starting sh5l with 300s (1) cores
% 0.71/0.80 % G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with pid 2824490 completed with status 0
% 0.71/0.80 % Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S
% 0.71/0.80 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.71/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.71/0.80 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.71/0.80 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.71/0.80 % No SInE strategy applied
% 0.71/0.80 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.71/0.80 % Scheduled 13 strats onto 4 cores with 1200 seconds (1200 total)
% 0.71/0.80 % Starting SubtermCWHack with 109s (1) cores
% 0.71/0.80 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 0.71/0.80 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 90s (1) cores
% 0.71/0.80 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 90s (1) cores
% 0.71/0.80 % G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with pid 2824500 completed with status 0
% 0.71/0.80 % Result found by G-E--_300_C18_F1_SE_CS_SP_PS_S0Y
% 0.71/0.80 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.71/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.71/0.80 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.71/0.80 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.71/0.80 % No SInE strategy applied
% 0.71/0.80 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.71/0.80 % Scheduled 13 strats onto 4 cores with 1200 seconds (1200 total)
% 0.71/0.80 % Starting SubtermCWHack with 109s (1) cores
% 0.71/0.80 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 0.71/0.80 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 90s (1) cores
% 0.71/0.80 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 90s (1) cores
% 0.71/0.80 % Preprocessing time : 0.020 s
% 0.71/0.80 % Presaturation interreduction done
% 0.71/0.80
% 0.71/0.80 % Proof found!
% 0.71/0.80 % SZS status Unsatisfiable
% 0.71/0.80 % SZS output start CNFRefutation
% See solution above
% 0.71/0.80 % Parsed axioms : 920
% 0.71/0.80 % Removed by relevancy pruning/SinE : 0
% 0.71/0.80 % Initial clauses : 920
% 0.71/0.80 % Removed in clause preprocessing : 1
% 0.71/0.80 % Initial clauses in saturation : 919
% 0.71/0.80 % Processed clauses : 1395
% 0.71/0.80 % ...of these trivial : 71
% 0.71/0.80 % ...subsumed : 285
% 0.71/0.80 % ...remaining for further processing : 1039
% 0.71/0.80 % Other redundant clauses eliminated : 11
% 0.71/0.80 % Clauses deleted for lack of memory : 0
% 0.71/0.80 % Backward-subsumed : 1
% 0.71/0.80 % Backward-rewritten : 31
% 0.71/0.80 % Generated clauses : 1679
% 0.71/0.80 % ...of the previous two non-redundant : 970
% 0.71/0.80 % ...aggressively subsumed : 0
% 0.71/0.80 % Contextual simplify-reflections : 1
% 0.71/0.80 % Paramodulations : 1658
% 0.71/0.80 % Factorizations : 4
% 0.71/0.80 % NegExts : 0
% 0.71/0.80 % Equation resolutions : 17
% 0.71/0.80 % Disequality decompositions : 0
% 0.71/0.80 % Total rewrite steps : 1288
% 0.71/0.80 % ...of those cached : 976
% 0.71/0.80 % Propositional unsat checks : 0
% 0.71/0.80 % Propositional check models : 0
% 0.71/0.80 % Propositional check unsatisfiable : 0
% 0.71/0.80 % Propositional clauses : 0
% 0.71/0.80 % Propositional clauses after purity: 0
% 0.71/0.80 % Propositional unsat core size : 0
% 0.71/0.80 % Propositional preprocessing time : 0.000
% 0.71/0.80 % Propositional encoding time : 0.000
% 0.71/0.80 % Propositional solver time : 0.000
% 0.71/0.80 % Success case prop preproc time : 0.000
% 0.71/0.80 % Success case prop encoding time : 0.000
% 0.71/0.80 % Success case prop solver time : 0.000
% 0.71/0.80 % Current number of processed clauses : 283
% 0.71/0.80 % Positive orientable unit clauses : 173
% 0.71/0.80 % Positive unorientable unit clauses: 1
% 0.71/0.80 % Negative unit clauses : 33
% 0.71/0.80 % Non-unit-clauses : 76
% 0.71/0.80 % Current number of unprocessed clauses: 1151
% 0.71/0.80 % ...number of literals in the above : 2258
% 0.71/0.80 % Current number of archived formulas : 0
% 0.71/0.80 % Current number of archived clauses : 757
% 0.71/0.80 % Clause-clause subsumption calls (NU) : 64616
% 0.71/0.80 % Rec. Clause-clause subsumption calls : 46166
% 0.71/0.80 % Non-unit clause-clause subsumptions : 172
% 0.71/0.80 % Unit Clause-clause subsumption calls : 526
% 0.71/0.80 % Rewrite failures with RHS unbound : 0
% 0.71/0.80 % BW rewrite match attempts : 179
% 0.71/0.80 % BW rewrite match successes : 41
% 0.71/0.80 % Condensation attempts : 0
% 0.71/0.80 % Condensation successes : 0
% 0.71/0.80 % Termbank termtop insertions : 56723
% 0.71/0.80 % Search garbage collected termcells : 1670
% 0.71/0.80
% 0.71/0.80 % -------------------------------------------------
% 0.71/0.80 % User time : 0.226 s
% 0.71/0.80 % System time : 0.017 s
% 0.71/0.80 % Total time : 0.243 s
% 0.71/0.80 % Maximum resident set size: 5292 pages
% 0.71/0.80
% 0.71/0.80 % -------------------------------------------------
% 0.71/0.80 % User time : 0.844 s
% 0.71/0.80 % System time : 0.058 s
% 0.71/0.80 % Total time : 0.902 s
% 0.71/0.80 % Maximum resident set size: 5376 pages
% 0.71/0.80 % E exiting
%------------------------------------------------------------------------------