%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL795-1 : 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 : n006.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 01:16:27 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.55s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 13 ( 10 unt; 0 nHn; 9 RR)
% Number of literals : 16 ( 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 : 17 ( 4 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/sandbox/benchmark/theBenchmark.p',cls_conjecture_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/sandbox/benchmark/theBenchmark.p',cls_lift__type_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/sandbox/benchmark/theBenchmark.p',cls_T_0) ).
cnf(cls_uT_0,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
file('/export/starexec/sandbox/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,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_6,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_7,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_8,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_5 ).
cnf(c_0_9,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
cls_uT_0 ).
cnf(c_0_10,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_6,c_0_7]) ).
cnf(c_0_11,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,X1,X2,tc_Type_Otype),c_Lambda_Olift(v_u____,X1),v_T____),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL795-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n006.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 01:04:57 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.21/0.55 % Version: 3.5.1
% 0.21/0.55 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.21/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.55 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.21/0.55 % Starting new_bool_3 with 600s (2) cores
% 0.21/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.21/0.55 % Starting sh5l with 300s (1) cores
% 0.21/0.55 % new_bool_3 with pid 1679465 completed with status 0
% 0.21/0.55 % Result found by new_bool_3
% 0.21/0.55 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.21/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.55 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.21/0.55 % Starting new_bool_3 with 600s (2) cores
% 0.21/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.21/0.55 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.55 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.21/0.55 % Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 0.21/0.55 % Starting SubtermCWHack with 55s (1) cores
% 0.21/0.55 % Starting new_bool_3 with 61s (1) cores
% 0.21/0.55 % new_bool_3 with pid 1679470 completed with status 0
% 0.21/0.55 % Result found by new_bool_3
% 0.21/0.55 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.21/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.55 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.21/0.55 % Starting new_bool_3 with 600s (2) cores
% 0.21/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.21/0.55 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.55 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.21/0.55 % Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 0.21/0.55 % Starting SubtermCWHack with 55s (1) cores
% 0.21/0.55 % Starting new_bool_3 with 61s (1) cores
% 0.21/0.55 % Preprocessing time : 0.004 s
% 0.21/0.55 % Presaturation interreduction done
% 0.21/0.55
% 0.21/0.55 % Proof found!
% 0.21/0.55 % SZS status Unsatisfiable
% 0.21/0.55 % SZS output start CNFRefutation
% See solution above
% 0.21/0.55 % Parsed axioms : 920
% 0.21/0.55 % Removed by relevancy pruning/SinE : 553
% 0.21/0.55 % Initial clauses : 367
% 0.21/0.55 % Removed in clause preprocessing : 0
% 0.21/0.55 % Initial clauses in saturation : 367
% 0.21/0.55 % Processed clauses : 1756
% 0.21/0.55 % ...of these trivial : 61
% 0.21/0.55 % ...subsumed : 987
% 0.21/0.55 % ...remaining for further processing : 708
% 0.21/0.55 % Other redundant clauses eliminated : 44
% 0.21/0.55 % Clauses deleted for lack of memory : 0
% 0.21/0.55 % Backward-subsumed : 11
% 0.21/0.55 % Backward-rewritten : 10
% 0.21/0.55 % Generated clauses : 5268
% 0.21/0.55 % ...of the previous two non-redundant : 4056
% 0.21/0.55 % ...aggressively subsumed : 0
% 0.21/0.55 % Contextual simplify-reflections : 1
% 0.21/0.55 % Paramodulations : 5193
% 0.21/0.55 % Factorizations : 4
% 0.21/0.55 % NegExts : 0
% 0.21/0.55 % Equation resolutions : 71
% 0.21/0.55 % Disequality decompositions : 0
% 0.21/0.55 % Total rewrite steps : 2731
% 0.21/0.55 % ...of those cached : 2245
% 0.21/0.55 % Propositional unsat checks : 0
% 0.21/0.55 % Propositional check models : 0
% 0.21/0.55 % Propositional check unsatisfiable : 0
% 0.21/0.55 % Propositional clauses : 0
% 0.21/0.55 % Propositional clauses after purity: 0
% 0.21/0.55 % Propositional unsat core size : 0
% 0.21/0.55 % Propositional preprocessing time : 0.000
% 0.21/0.55 % Propositional encoding time : 0.000
% 0.21/0.55 % Propositional solver time : 0.000
% 0.21/0.55 % Success case prop preproc time : 0.000
% 0.21/0.55 % Success case prop encoding time : 0.000
% 0.21/0.55 % Success case prop solver time : 0.000
% 0.21/0.55 % Current number of processed clauses : 418
% 0.21/0.55 % Positive orientable unit clauses : 94
% 0.21/0.55 % Positive unorientable unit clauses: 5
% 0.21/0.55 % Negative unit clauses : 113
% 0.21/0.55 % Non-unit-clauses : 206
% 0.21/0.55 % Current number of unprocessed clauses: 2934
% 0.21/0.55 % ...number of literals in the above : 5389
% 0.21/0.55 % Current number of archived formulas : 0
% 0.21/0.55 % Current number of archived clauses : 290
% 0.21/0.55 % Clause-clause subsumption calls (NU) : 19212
% 0.21/0.55 % Rec. Clause-clause subsumption calls : 17662
% 0.21/0.55 % Non-unit clause-clause subsumptions : 336
% 0.21/0.55 % Unit Clause-clause subsumption calls : 3056
% 0.21/0.55 % Rewrite failures with RHS unbound : 0
% 0.21/0.55 % BW rewrite match attempts : 186
% 0.21/0.55 % BW rewrite match successes : 104
% 0.21/0.55 % Condensation attempts : 0
% 0.21/0.55 % Condensation successes : 0
% 0.21/0.55 % Termbank termtop insertions : 84726
% 0.21/0.55 % Search garbage collected termcells : 2547
% 0.21/0.55
% 0.21/0.55 % -------------------------------------------------
% 0.21/0.55 % User time : 0.074 s
% 0.21/0.55 % System time : 0.009 s
% 0.21/0.55 % Total time : 0.083 s
% 0.21/0.55 % Maximum resident set size: 4780 pages
% 0.21/0.55
% 0.21/0.55 % -------------------------------------------------
% 0.21/0.55 % User time : 0.163 s
% 0.21/0.55 % System time : 0.023 s
% 0.21/0.55 % Total time : 0.186 s
% 0.21/0.55 % Maximum resident set size: 5376 pages
% 0.21/0.55 % E exiting
%------------------------------------------------------------------------------