%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : LCL806-1 : 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 : 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 01:23:23 PM UTC 2026
% Result : Unsatisfiable 0.60s 0.51s
% Output : CNFRefutation 0.60s
% 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 : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 13 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Cons_I1_J_0,axiom,
( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X3),X2),v_T____)),v_b____),X4))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X3),X1),v_T____))
| hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),X1),X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Cons_I1_J_0) ).
cnf(cls_conjecture_3,negated_conjecture,
~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),v_xb),v_xc))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_0,negated_conjecture,
hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_x),v_xc),v_T____)),v_b____),v_xa)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_2,negated_conjecture,
hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_x),v_xb),v_T____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_1,negated_conjecture,
hBOOL(hAPP(c_InductTermi_OIT,v_xb)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_0_5,plain,
( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X3),X2),v_T____)),v_b____),X4))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X3),X1),v_T____))
| hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),X1),X2))) ),
inference(fof_simplification,[status(thm)],[cls_Cons_I1_J_0]) ).
cnf(c_0_6,negated_conjecture,
~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),v_xb),v_xc))),
inference(fof_simplification,[status(thm)],[cls_conjecture_3]) ).
cnf(c_0_7,plain,
( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X3),X2),v_T____)),v_b____),X4))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X3),X1),v_T____))
| hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),X1),X2))) ),
c_0_5 ).
cnf(c_0_8,negated_conjecture,
hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_x),v_xc),v_T____)),v_b____),v_xa)),
cls_conjecture_0 ).
cnf(c_0_9,negated_conjecture,
~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),v_xb),v_xc))),
c_0_6 ).
cnf(c_0_10,negated_conjecture,
( ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_x),X1),v_T____))
| hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),X1),v_xc))) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_x),v_xb),v_T____)),
cls_conjecture_2 ).
cnf(c_0_12,negated_conjecture,
hBOOL(hAPP(c_InductTermi_OIT,v_xb)),
cls_conjecture_1 ).
cnf(c_0_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[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
% 0.00/0.02 % Problem : LCL806-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/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 01:05:18 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 0.60/0.51 % Version: 3.5.1
% 0.60/0.51 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.60/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.60/0.51 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.60/0.51 % Starting new_bool_3 with 600s (2) cores
% 0.60/0.51 % Starting new_bool_1 with 300s (1) cores
% 0.60/0.51 % Starting sh5l with 300s (1) cores
% 0.60/0.51 % G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with pid 2209960 completed with status 0
% 0.60/0.51 % Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S
% 0.60/0.51 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.60/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.60/0.51 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.60/0.51 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.60/0.51 % No SInE strategy applied
% 0.60/0.51 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.60/0.51 % Scheduled 13 strats onto 4 cores with 1200 seconds (1200 total)
% 0.60/0.51 % Starting SubtermCWHack with 109s (1) cores
% 0.60/0.51 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 0.60/0.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 90s (1) cores
% 0.60/0.51 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 90s (1) cores
% 0.60/0.51 % G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with pid 2209976 completed with status 0
% 0.60/0.51 % Result found by G-E--_300_C18_F1_SE_CS_SP_PS_S0Y
% 0.60/0.51 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.60/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.60/0.51 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.60/0.51 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.60/0.51 % No SInE strategy applied
% 0.60/0.51 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.60/0.51 % Scheduled 13 strats onto 4 cores with 1200 seconds (1200 total)
% 0.60/0.51 % Starting SubtermCWHack with 109s (1) cores
% 0.60/0.51 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 0.60/0.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 90s (1) cores
% 0.60/0.51 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 90s (1) cores
% 0.60/0.51 % Preprocessing time : 0.008 s
% 0.60/0.51 % Presaturation interreduction done
% 0.60/0.51
% 0.60/0.51 % Proof found!
% 0.60/0.51 % SZS status Unsatisfiable
% 0.60/0.51 % SZS output start CNFRefutation
% See solution above
% 0.60/0.51 % Parsed axioms : 411
% 0.60/0.51 % Removed by relevancy pruning/SinE : 0
% 0.60/0.51 % Initial clauses : 411
% 0.60/0.51 % Removed in clause preprocessing : 2
% 0.60/0.51 % Initial clauses in saturation : 409
% 0.60/0.51 % Processed clauses : 660
% 0.60/0.51 % ...of these trivial : 33
% 0.60/0.51 % ...subsumed : 125
% 0.60/0.51 % ...remaining for further processing : 502
% 0.60/0.51 % Other redundant clauses eliminated : 8
% 0.60/0.51 % Clauses deleted for lack of memory : 0
% 0.60/0.51 % Backward-subsumed : 2
% 0.60/0.51 % Backward-rewritten : 4
% 0.60/0.51 % Generated clauses : 448
% 0.60/0.51 % ...of the previous two non-redundant : 290
% 0.60/0.51 % ...aggressively subsumed : 0
% 0.60/0.51 % Contextual simplify-reflections : 0
% 0.60/0.51 % Paramodulations : 436
% 0.60/0.51 % Factorizations : 2
% 0.60/0.51 % NegExts : 0
% 0.60/0.51 % Equation resolutions : 10
% 0.60/0.51 % Disequality decompositions : 0
% 0.60/0.51 % Total rewrite steps : 300
% 0.60/0.51 % ...of those cached : 191
% 0.60/0.51 % Propositional unsat checks : 0
% 0.60/0.51 % Propositional check models : 0
% 0.60/0.51 % Propositional check unsatisfiable : 0
% 0.60/0.51 % Propositional clauses : 0
% 0.60/0.51 % Propositional clauses after purity: 0
% 0.60/0.51 % Propositional unsat core size : 0
% 0.60/0.51 % Propositional preprocessing time : 0.000
% 0.60/0.51 % Propositional encoding time : 0.000
% 0.60/0.51 % Propositional solver time : 0.000
% 0.60/0.51 % Success case prop preproc time : 0.000
% 0.60/0.51 % Success case prop encoding time : 0.000
% 0.60/0.51 % Success case prop solver time : 0.000
% 0.60/0.51 % Current number of processed clauses : 171
% 0.60/0.51 % Positive orientable unit clauses : 85
% 0.60/0.51 % Positive unorientable unit clauses: 1
% 0.60/0.51 % Negative unit clauses : 17
% 0.60/0.51 % Non-unit-clauses : 68
% 0.60/0.51 % Current number of unprocessed clauses: 363
% 0.60/0.51 % ...number of literals in the above : 734
% 0.60/0.51 % Current number of archived formulas : 0
% 0.60/0.51 % Current number of archived clauses : 332
% 0.60/0.51 % Clause-clause subsumption calls (NU) : 6217
% 0.60/0.51 % Rec. Clause-clause subsumption calls : 4881
% 0.60/0.51 % Non-unit clause-clause subsumptions : 59
% 0.60/0.51 % Unit Clause-clause subsumption calls : 313
% 0.60/0.51 % Rewrite failures with RHS unbound : 0
% 0.60/0.51 % BW rewrite match attempts : 243
% 0.60/0.51 % BW rewrite match successes : 23
% 0.60/0.51 % Condensation attempts : 0
% 0.60/0.51 % Condensation successes : 0
% 0.60/0.51 % Termbank termtop insertions : 26732
% 0.60/0.51 % Search garbage collected termcells : 678
% 0.60/0.51
% 0.60/0.51 % -------------------------------------------------
% 0.60/0.51 % User time : 0.058 s
% 0.60/0.51 % System time : 0.012 s
% 0.60/0.51 % Total time : 0.069 s
% 0.60/0.51 % Maximum resident set size: 4536 pages
% 0.60/0.51
% 0.60/0.51 % -------------------------------------------------
% 0.60/0.51 % User time : 0.232 s
% 0.60/0.51 % System time : 0.036 s
% 0.60/0.51 % Total time : 0.267 s
% 0.60/0.51 % Maximum resident set size: 4864 pages
% 0.60/0.51 % E exiting
%------------------------------------------------------------------------------