%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL798-1 : 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 : n002.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 0.24s 0.56s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 10 unt; 0 nHn; 14 RR)
% Number of literals : 25 ( 0 equ; 14 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-4 aty)
% Number of variables : 13 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_CHAINED_0,axiom,
( ~ c_Type_Otyping(c_Type_Oshift(X3,X2,v_T____,tc_Type_Otype),v_a____,X4)
| ~ c_InductTermi_OIT(X1)
| ~ c_Type_Otyping(X3,X1,v_T____)
| c_InductTermi_OIT(c_Lambda_Osubst(v_a____,X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(cls_CHAINED_0_03,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_03) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,v_i____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_CHAINED_0_01,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
cnf(cls_uIT_0,axiom,
c_InductTermi_OIT(v_u____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_uIT_0) ).
cnf(c_0_5,plain,
( ~ c_Type_Otyping(c_Type_Oshift(X3,X2,v_T____,tc_Type_Otype),v_a____,X4)
| ~ c_InductTermi_OIT(X1)
| ~ c_Type_Otyping(X3,X1,v_T____)
| c_InductTermi_OIT(c_Lambda_Osubst(v_a____,X1,X2)) ),
inference(fof_simplification,[status(thm)],[cls_CHAINED_0]) ).
cnf(c_0_6,plain,
( ~ c_Type_Otyping(c_Type_Oshift(X3,X2,v_T____,tc_Type_Otype),v_a____,X4)
| ~ c_InductTermi_OIT(X1)
| ~ c_Type_Otyping(X3,X1,v_T____)
| c_InductTermi_OIT(c_Lambda_Osubst(v_a____,X1,X2)) ),
c_0_5 ).
cnf(c_0_7,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____),
cls_CHAINED_0_03 ).
cnf(c_0_8,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,v_i____)),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_9,plain,
( ~ c_InductTermi_OIT(X1)
| ~ c_Type_Otyping(v_e____,X1,v_T____)
| c_InductTermi_OIT(c_Lambda_Osubst(v_a____,X1,v_i____)) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
cls_CHAINED_0_01 ).
cnf(c_0_11,axiom,
c_InductTermi_OIT(v_u____),
cls_uIT_0 ).
cnf(c_0_12,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,v_i____)),
c_0_8 ).
cnf(c_0_13,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL798-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.45 % Computer : n002.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Mon Sep 21 01:07:31 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.52 Running first-order theorem proving
% 0.24/0.52 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
% 0.24/0.56 % Version: 3.5.1
% 0.24/0.56 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.24/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.56 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.24/0.56 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.56 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.56 % Starting sh5l with 300s (1) cores
% 0.24/0.56 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2120357 completed with status 0
% 0.24/0.56 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.24/0.56 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.24/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.56 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.24/0.56 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.56 % No SInE strategy applied
% 0.24/0.56 % Search class: FGHSM-FFMM32-SFFFFFNN
% 0.24/0.56 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.56 % Starting SubtermCWHack with 136s (1) cores
% 0.24/0.56 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.24/0.56 % Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 316s (1) cores
% 0.24/0.56 % Starting U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.24/0.56 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.24/0.56 % G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 2120365 completed with status 0
% 0.24/0.56 % Result found by G-E--_301_C18_F1_URBAN_S5PRR_S0Y
% 0.24/0.56 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.24/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.56 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.24/0.56 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.56 % No SInE strategy applied
% 0.24/0.56 % Search class: FGHSM-FFMM32-SFFFFFNN
% 0.24/0.56 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.56 % Starting SubtermCWHack with 136s (1) cores
% 0.24/0.56 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.24/0.56 % Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 316s (1) cores
% 0.24/0.56 % Preprocessing time : 0.002 s
% 0.24/0.56
% 0.24/0.56 % Proof found!
% 0.24/0.56 % SZS status Unsatisfiable
% 0.24/0.56 % SZS output start CNFRefutation
% See solution above
% 0.24/0.56 % Parsed axioms : 80
% 0.24/0.56 % Removed by relevancy pruning/SinE : 0
% 0.24/0.56 % Initial clauses : 80
% 0.24/0.56 % Removed in clause preprocessing : 0
% 0.24/0.56 % Initial clauses in saturation : 80
% 0.24/0.56 % Processed clauses : 90
% 0.24/0.56 % ...of these trivial : 2
% 0.24/0.56 % ...subsumed : 16
% 0.24/0.56 % ...remaining for further processing : 72
% 0.24/0.56 % Other redundant clauses eliminated : 0
% 0.24/0.56 % Clauses deleted for lack of memory : 0
% 0.24/0.56 % Backward-subsumed : 1
% 0.24/0.56 % Backward-rewritten : 0
% 0.24/0.56 % Generated clauses : 125
% 0.24/0.56 % ...of the previous two non-redundant : 100
% 0.24/0.56 % ...aggressively subsumed : 0
% 0.24/0.56 % Contextual simplify-reflections : 0
% 0.24/0.56 % Paramodulations : 117
% 0.24/0.56 % Factorizations : 2
% 0.24/0.56 % NegExts : 0
% 0.24/0.56 % Equation resolutions : 6
% 0.24/0.56 % Disequality decompositions : 0
% 0.24/0.56 % Total rewrite steps : 41
% 0.24/0.56 % ...of those cached : 33
% 0.24/0.56 % Propositional unsat checks : 0
% 0.24/0.56 % Propositional check models : 0
% 0.24/0.56 % Propositional check unsatisfiable : 0
% 0.24/0.56 % Propositional clauses : 0
% 0.24/0.56 % Propositional clauses after purity: 0
% 0.24/0.56 % Propositional unsat core size : 0
% 0.24/0.56 % Propositional preprocessing time : 0.000
% 0.24/0.56 % Propositional encoding time : 0.000
% 0.24/0.56 % Propositional solver time : 0.000
% 0.24/0.56 % Success case prop preproc time : 0.000
% 0.24/0.56 % Success case prop encoding time : 0.000
% 0.24/0.56 % Success case prop solver time : 0.000
% 0.24/0.56 % Current number of processed clauses : 71
% 0.24/0.56 % Positive orientable unit clauses : 19
% 0.24/0.56 % Positive unorientable unit clauses: 0
% 0.24/0.56 % Negative unit clauses : 9
% 0.24/0.56 % Non-unit-clauses : 43
% 0.24/0.56 % Current number of unprocessed clauses: 90
% 0.24/0.56 % ...number of literals in the above : 217
% 0.24/0.56 % Current number of archived formulas : 0
% 0.24/0.56 % Current number of archived clauses : 1
% 0.24/0.56 % Clause-clause subsumption calls (NU) : 253
% 0.24/0.56 % Rec. Clause-clause subsumption calls : 178
% 0.24/0.56 % Non-unit clause-clause subsumptions : 8
% 0.24/0.56 % Unit Clause-clause subsumption calls : 54
% 0.24/0.56 % Rewrite failures with RHS unbound : 0
% 0.24/0.56 % BW rewrite match attempts : 0
% 0.24/0.56 % BW rewrite match successes : 0
% 0.24/0.56 % Condensation attempts : 0
% 0.24/0.56 % Condensation successes : 0
% 0.24/0.56 % Termbank termtop insertions : 3004
% 0.24/0.56 % Search garbage collected termcells : 138
% 0.24/0.56
% 0.24/0.56 % -------------------------------------------------
% 0.24/0.56 % User time : 0.010 s
% 0.24/0.56 % System time : 0.003 s
% 0.24/0.56 % Total time : 0.013 s
% 0.24/0.56 % Maximum resident set size: 3432 pages
% 0.24/0.56
% 0.24/0.56 % -------------------------------------------------
% 0.24/0.56 % User time : 0.039 s
% 0.24/0.56 % System time : 0.021 s
% 0.24/0.56 % Total time : 0.060 s
% 0.24/0.56 % Maximum resident set size: 4608 pages
% 0.24/0.56 % E exiting
%------------------------------------------------------------------------------