%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM009-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 01:44:14 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.50s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 16 ( 7 unt; 3 nHn; 16 RR)
% Number of literals : 28 ( 0 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 12 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(a2,axiom,
( ~ member(X1,X2)
| little_set(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',a2) ).
cnf(natural_numbers6,axiom,
( ~ member(X1,f44(X1))
| member(X1,natural_numbers) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM003-0.ax',natural_numbers6) ).
cnf(natural_numbers4,axiom,
( ~ little_set(X1)
| member(empty_set,f44(X1))
| member(X1,natural_numbers) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM003-0.ax',natural_numbers4) ).
cnf(infinity2,axiom,
member(empty_set,infinity),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',infinity2) ).
cnf(prove_zero_is_a_natural,negated_conjecture,
~ member(empty_set,natural_numbers),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_zero_is_a_natural) ).
cnf(c_0_5,plain,
( ~ member(X1,X2)
| little_set(X1) ),
inference(fof_simplification,[status(thm)],[a2]) ).
cnf(c_0_6,plain,
( ~ member(X1,f44(X1))
| member(X1,natural_numbers) ),
inference(fof_simplification,[status(thm)],[natural_numbers6]) ).
cnf(c_0_7,plain,
( ~ little_set(X1)
| member(empty_set,f44(X1))
| member(X1,natural_numbers) ),
inference(fof_simplification,[status(thm)],[natural_numbers4]) ).
cnf(c_0_8,plain,
( ~ member(X1,X2)
| little_set(X1) ),
c_0_5 ).
cnf(c_0_9,axiom,
member(empty_set,infinity),
infinity2 ).
cnf(c_0_10,negated_conjecture,
~ member(empty_set,natural_numbers),
inference(fof_simplification,[status(thm)],[prove_zero_is_a_natural]) ).
cnf(c_0_11,plain,
( ~ member(X1,f44(X1))
| member(X1,natural_numbers) ),
c_0_6 ).
cnf(c_0_12,plain,
( ~ little_set(X1)
| member(empty_set,f44(X1))
| member(X1,natural_numbers) ),
c_0_7 ).
cnf(c_0_13,plain,
little_set(empty_set),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,negated_conjecture,
~ member(empty_set,natural_numbers),
c_0_10 ).
cnf(c_0_15,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM009-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n008.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 01:58:24 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.44 Running first-order theorem proving
% 0.15/0.44 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
% 0.15/0.50 % Version: 3.5.1
% 0.15/0.50 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.15/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.50 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.15/0.50 % Starting new_bool_3 with 600s (2) cores
% 0.15/0.50 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.50 % Starting sh5l with 300s (1) cores
% 0.15/0.50 % G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with pid 4108415 completed with status 0
% 0.15/0.50 % Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S
% 0.15/0.50 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.15/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.50 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.15/0.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.50 % No SInE strategy applied
% 0.15/0.50 % Search class: FGHSF-FSLS31-DFFFFFNN
% 0.15/0.50 % partial match(1): FGHSF-FSLS31-SFFFFFNN
% 0.15/0.50 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 0.15/0.50 % Starting SubtermCWHack with 109s (1) cores
% 0.15/0.50 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 0.15/0.50 % Starting new_bool_3 with 245s (1) cores
% 0.15/0.50 % Starting new_bool_1 with 245s (1) cores
% 0.15/0.50 % SubtermCWHack with pid 4108428 completed with status 0
% 0.15/0.50 % Result found by SubtermCWHack
% 0.15/0.50 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.15/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.50 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.15/0.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.50 % No SInE strategy applied
% 0.15/0.50 % Search class: FGHSF-FSLS31-DFFFFFNN
% 0.15/0.50 % partial match(1): FGHSF-FSLS31-SFFFFFNN
% 0.15/0.50 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 0.15/0.50 % Starting SubtermCWHack with 109s (1) cores
% 0.15/0.50 % Preprocessing time : 0.006 s
% 0.15/0.50
% 0.15/0.50 % Proof found!
% 0.15/0.50 % SZS status Unsatisfiable
% 0.15/0.50 % SZS output start CNFRefutation
% See solution above
% 0.15/0.50 % Parsed axioms : 220
% 0.15/0.50 % Removed by relevancy pruning/SinE : 0
% 0.15/0.50 % Initial clauses : 220
% 0.15/0.50 % Removed in clause preprocessing : 6
% 0.15/0.50 % Initial clauses in saturation : 214
% 0.15/0.50 % Processed clauses : 132
% 0.15/0.50 % ...of these trivial : 0
% 0.15/0.50 % ...subsumed : 17
% 0.15/0.50 % ...remaining for further processing : 115
% 0.15/0.50 % Other redundant clauses eliminated : 2
% 0.15/0.50 % Clauses deleted for lack of memory : 0
% 0.15/0.50 % Backward-subsumed : 0
% 0.15/0.50 % Backward-rewritten : 0
% 0.15/0.50 % Generated clauses : 123
% 0.15/0.50 % ...of the previous two non-redundant : 110
% 0.15/0.50 % ...aggressively subsumed : 0
% 0.15/0.50 % Contextual simplify-reflections : 3
% 0.15/0.50 % Paramodulations : 121
% 0.15/0.50 % Factorizations : 0
% 0.15/0.50 % NegExts : 0
% 0.15/0.50 % Equation resolutions : 2
% 0.15/0.50 % Disequality decompositions : 0
% 0.15/0.50 % Total rewrite steps : 5
% 0.15/0.50 % ...of those cached : 2
% 0.15/0.50 % Propositional unsat checks : 0
% 0.15/0.50 % Propositional check models : 0
% 0.15/0.50 % Propositional check unsatisfiable : 0
% 0.15/0.50 % Propositional clauses : 0
% 0.15/0.50 % Propositional clauses after purity: 0
% 0.15/0.50 % Propositional unsat core size : 0
% 0.15/0.50 % Propositional preprocessing time : 0.000
% 0.15/0.50 % Propositional encoding time : 0.000
% 0.15/0.50 % Propositional solver time : 0.000
% 0.15/0.50 % Success case prop preproc time : 0.000
% 0.15/0.50 % Success case prop encoding time : 0.000
% 0.15/0.50 % Success case prop solver time : 0.000
% 0.15/0.50 % Current number of processed clauses : 113
% 0.15/0.50 % Positive orientable unit clauses : 12
% 0.15/0.50 % Positive unorientable unit clauses: 0
% 0.15/0.50 % Negative unit clauses : 4
% 0.15/0.50 % Non-unit-clauses : 97
% 0.15/0.50 % Current number of unprocessed clauses: 191
% 0.15/0.50 % ...number of literals in the above : 610
% 0.15/0.50 % Current number of archived formulas : 0
% 0.15/0.50 % Current number of archived clauses : 6
% 0.15/0.50 % Clause-clause subsumption calls (NU) : 2156
% 0.15/0.50 % Rec. Clause-clause subsumption calls : 1871
% 0.15/0.50 % Non-unit clause-clause subsumptions : 20
% 0.15/0.50 % Unit Clause-clause subsumption calls : 90
% 0.15/0.50 % Rewrite failures with RHS unbound : 0
% 0.15/0.50 % BW rewrite match attempts : 0
% 0.15/0.50 % BW rewrite match successes : 0
% 0.15/0.50 % Condensation attempts : 0
% 0.15/0.50 % Condensation successes : 0
% 0.15/0.50 % Termbank termtop insertions : 10888
% 0.15/0.50 % Search garbage collected termcells : 538
% 0.15/0.50
% 0.15/0.50 % -------------------------------------------------
% 0.15/0.50 % User time : 0.023 s
% 0.15/0.50 % System time : 0.009 s
% 0.15/0.50 % Total time : 0.032 s
% 0.15/0.50 % Maximum resident set size: 3848 pages
% 0.15/0.50
% 0.15/0.50 % -------------------------------------------------
% 0.15/0.50 % User time : 0.081 s
% 0.15/0.50 % System time : 0.020 s
% 0.15/0.50 % Total time : 0.101 s
% 0.15/0.50 % Maximum resident set size: 5120 pages
% 0.15/0.50 % E exiting
%------------------------------------------------------------------------------