%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL834-1 : 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 : n019.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 1.27s 0.70s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 4 RR)
% Number of literals : 12 ( 0 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-5 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ 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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_apps__preserves__beta_0,axiom,
( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X3))
| hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X2,tc_Lambda_OdB,tc_Lambda_OdB))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_apps__preserves__beta_0) ).
cnf(cls_beta_0,axiom,
hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),c_HOL_Ozero__class_Ozero(tc_nat)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_beta_0) ).
cnf(c_0_3,negated_conjecture,
~ 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))),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_4,plain,
( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X3))
| hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X2,tc_Lambda_OdB,tc_Lambda_OdB))) ),
inference(fof_simplification,[status(thm)],[cls_apps__preserves__beta_0]) ).
cnf(c_0_5,negated_conjecture,
~ 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))),
c_0_3 ).
cnf(c_0_6,plain,
( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X3))
| hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X2,tc_Lambda_OdB,tc_Lambda_OdB))) ),
c_0_4 ).
cnf(c_0_7,axiom,
hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),c_HOL_Ozero__class_Ozero(tc_nat)))),
cls_beta_0 ).
cnf(c_0_8,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL834-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.44 % Computer : n019.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 01:07:35 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.52 Running first-order theorem proving
% 0.26/0.52 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
% 1.27/0.70 % Version: 3.5.1
% 1.27/0.70 % Preprocessing class: FSLMSMSMSSSNFFN.
% 1.27/0.70 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.27/0.70 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 1.27/0.70 % Starting new_bool_3 with 600s (2) cores
% 1.27/0.70 % Starting new_bool_1 with 300s (1) cores
% 1.27/0.70 % Starting sh5l with 300s (1) cores
% 1.27/0.70 % new_bool_3 with pid 1367984 completed with status 0
% 1.27/0.70 % Result found by new_bool_3
% 1.27/0.70 % Preprocessing class: FSLMSMSMSSSNFFN.
% 1.27/0.70 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.27/0.70 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 1.27/0.70 % Starting new_bool_3 with 600s (2) cores
% 1.27/0.70 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.27/0.70 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.27/0.70 % Search class: FGUSM-FFLS32-DFFFFFNN
% 1.27/0.70 % partial match(1): FGHSM-FFLS32-DFFFFFNN
% 1.27/0.70 % Scheduled 7 strats onto 2 cores with 600 seconds (600 total)
% 1.27/0.70 % Starting SubtermCWHack with 55s (1) cores
% 1.27/0.70 % Starting new_bool_3 with 61s (1) cores
% 1.27/0.70 % SubtermCWHack with pid 1367987 completed with status 0
% 1.27/0.70 % Result found by SubtermCWHack
% 1.27/0.70 % Preprocessing class: FSLMSMSMSSSNFFN.
% 1.27/0.70 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.27/0.70 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 1.27/0.70 % Starting new_bool_3 with 600s (2) cores
% 1.27/0.70 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.27/0.70 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.27/0.70 % Search class: FGUSM-FFLS32-DFFFFFNN
% 1.27/0.70 % partial match(1): FGHSM-FFLS32-DFFFFFNN
% 1.27/0.70 % Scheduled 7 strats onto 2 cores with 600 seconds (600 total)
% 1.27/0.70 % Starting SubtermCWHack with 55s (1) cores
% 1.27/0.70 % Preprocessing time : 0.003 s
% 1.27/0.70
% 1.27/0.70 % Proof found!
% 1.27/0.70 % SZS status Unsatisfiable
% 1.27/0.70 % SZS output start CNFRefutation
% See solution above
% 1.27/0.70 % Parsed axioms : 472
% 1.27/0.70 % Removed by relevancy pruning/SinE : 301
% 1.27/0.70 % Initial clauses : 171
% 1.27/0.70 % Removed in clause preprocessing : 0
% 1.27/0.70 % Initial clauses in saturation : 171
% 1.27/0.70 % Processed clauses : 869
% 1.27/0.70 % ...of these trivial : 24
% 1.27/0.70 % ...subsumed : 578
% 1.27/0.70 % ...remaining for further processing : 267
% 1.27/0.70 % Other redundant clauses eliminated : 1043
% 1.27/0.70 % Clauses deleted for lack of memory : 0
% 1.27/0.70 % Backward-subsumed : 0
% 1.27/0.70 % Backward-rewritten : 4
% 1.27/0.70 % Generated clauses : 8351
% 1.27/0.70 % ...of the previous two non-redundant : 7139
% 1.27/0.70 % ...aggressively subsumed : 0
% 1.27/0.70 % Contextual simplify-reflections : 0
% 1.27/0.70 % Paramodulations : 7270
% 1.27/0.70 % Factorizations : 18
% 1.27/0.70 % NegExts : 0
% 1.27/0.70 % Equation resolutions : 1063
% 1.27/0.70 % Disequality decompositions : 0
% 1.27/0.70 % Total rewrite steps : 496
% 1.27/0.70 % ...of those cached : 328
% 1.27/0.70 % Propositional unsat checks : 0
% 1.27/0.70 % Propositional check models : 0
% 1.27/0.70 % Propositional check unsatisfiable : 0
% 1.27/0.70 % Propositional clauses : 0
% 1.27/0.70 % Propositional clauses after purity: 0
% 1.27/0.70 % Propositional unsat core size : 0
% 1.27/0.70 % Propositional preprocessing time : 0.000
% 1.27/0.70 % Propositional encoding time : 0.000
% 1.27/0.70 % Propositional solver time : 0.000
% 1.27/0.70 % Success case prop preproc time : 0.000
% 1.27/0.70 % Success case prop encoding time : 0.000
% 1.27/0.70 % Success case prop solver time : 0.000
% 1.27/0.70 % Current number of processed clauses : 263
% 1.27/0.70 % Positive orientable unit clauses : 41
% 1.27/0.70 % Positive unorientable unit clauses: 3
% 1.27/0.70 % Negative unit clauses : 51
% 1.27/0.70 % Non-unit-clauses : 168
% 1.27/0.70 % Current number of unprocessed clauses: 6428
% 1.27/0.70 % ...number of literals in the above : 20423
% 1.27/0.70 % Current number of archived formulas : 0
% 1.27/0.70 % Current number of archived clauses : 4
% 1.27/0.70 % Clause-clause subsumption calls (NU) : 6810
% 1.27/0.70 % Rec. Clause-clause subsumption calls : 5828
% 1.27/0.70 % Non-unit clause-clause subsumptions : 405
% 1.27/0.70 % Unit Clause-clause subsumption calls : 1539
% 1.27/0.70 % Rewrite failures with RHS unbound : 0
% 1.27/0.70 % BW rewrite match attempts : 141
% 1.27/0.70 % BW rewrite match successes : 13
% 1.27/0.70 % Condensation attempts : 0
% 1.27/0.70 % Condensation successes : 0
% 1.27/0.70 % Termbank termtop insertions : 118425
% 1.27/0.70 % Search garbage collected termcells : 1646
% 1.27/0.70
% 1.27/0.70 % -------------------------------------------------
% 1.27/0.70 % User time : 0.116 s
% 1.27/0.70 % System time : 0.011 s
% 1.27/0.70 % Total time : 0.127 s
% 1.27/0.70 % Maximum resident set size: 4288 pages
% 1.27/0.70
% 1.27/0.70 % -------------------------------------------------
% 1.27/0.70 % User time : 0.249 s
% 1.27/0.70 % System time : 0.027 s
% 1.27/0.70 % Total time : 0.276 s
% 1.27/0.70 % Maximum resident set size: 5120 pages
% 1.27/0.70 % E exiting
%------------------------------------------------------------------------------