%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWC097-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 02:42:59 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.58s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 20 ( 9 unt; 1 nHn; 20 RR)
% Number of literals : 34 ( 12 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_12,negated_conjecture,
( ~ neq(sk4,nil)
| app(sk1,cons(X1,nil)) != sk2
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
cnf(co1_7,negated_conjecture,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
cnf(co1_14,negated_conjecture,
( ~ neq(sk4,nil)
| app(sk3,cons(sk5,nil)) = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
cnf(co1_13,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
cnf(c_0_6,negated_conjecture,
( ~ neq(sk4,nil)
| app(sk1,cons(X1,nil)) != sk2
| ~ ssItem(X1) ),
inference(fof_simplification,[status(thm)],[co1_12]) ).
cnf(c_0_7,negated_conjecture,
neq(sk2,nil),
inference(fof_simplification,[status(thm)],[co1_7]) ).
cnf(c_0_8,negated_conjecture,
( ~ neq(sk4,nil)
| app(sk3,cons(sk5,nil)) = sk4 ),
inference(fof_simplification,[status(thm)],[co1_14]) ).
cnf(c_0_9,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
inference(fof_simplification,[status(thm)],[co1_13]) ).
cnf(c_0_10,negated_conjecture,
( ~ neq(sk4,nil)
| app(sk1,cons(X1,nil)) != sk2
| ~ ssItem(X1) ),
c_0_6 ).
cnf(c_0_11,negated_conjecture,
sk2 = sk4,
co1_5 ).
cnf(c_0_12,negated_conjecture,
neq(sk2,nil),
c_0_7 ).
cnf(c_0_13,negated_conjecture,
( ~ neq(sk4,nil)
| app(sk3,cons(sk5,nil)) = sk4 ),
c_0_8 ).
cnf(c_0_14,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_15,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
c_0_9 ).
cnf(c_0_16,negated_conjecture,
( ~ ssItem(X1)
| app(sk1,cons(X1,nil)) != sk2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).
cnf(c_0_17,negated_conjecture,
app(sk1,cons(sk5,nil)) = sk2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_11]),c_0_11]),c_0_12])]) ).
cnf(c_0_18,negated_conjecture,
ssItem(sk5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_11]),c_0_12])]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC097-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.52 % Computer : n020.cluster.edu
% 0.11/0.52 % Model : x86_64 x86_64
% 0.11/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.52 % Memory : 8046.5625MB
% 0.11/0.52 % OS : Linux 6.8.0-71-generic
% 0.11/0.52 % CPULimit : 300
% 0.11/0.52 % WCLimit : 300
% 0.11/0.52 % DateTime : Mon Sep 21 07:56:35 UTC 2026
% 0.11/0.52 % CPUTime :
% 0.11/0.52 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.56 Running first-order theorem proving
% 0.15/0.56 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
% 0.15/0.58 % Version: 3.5.1
% 0.15/0.58 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.58 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.58 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.58 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.58 % Starting sh5l with 300s (1) cores
% 0.15/0.58 % new_bool_3 with pid 2429886 completed with status 0
% 0.15/0.58 % Result found by new_bool_3
% 0.15/0.58 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.58 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.58 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.58 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.58 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.58 % Search class: FGHSF-FFMM22-SFFFFFNN
% 0.15/0.58 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.58 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.58 % SubtermCWHack with pid 2429890 completed with status 0
% 0.15/0.58 % Result found by SubtermCWHack
% 0.15/0.58 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.58 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.58 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.58 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.58 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.58 % Search class: FGHSF-FFMM22-SFFFFFNN
% 0.15/0.58 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.58 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.58 % Preprocessing time : 0.002 s
% 0.15/0.58
% 0.15/0.58 % Proof found!
% 0.15/0.58 % SZS status Unsatisfiable
% 0.15/0.58 % SZS output start CNFRefutation
% See solution above
% 0.15/0.58 % Parsed axioms : 199
% 0.15/0.58 % Removed by relevancy pruning/SinE : 164
% 0.15/0.58 % Initial clauses : 35
% 0.15/0.58 % Removed in clause preprocessing : 0
% 0.15/0.58 % Initial clauses in saturation : 35
% 0.15/0.58 % Processed clauses : 35
% 0.15/0.58 % ...of these trivial : 4
% 0.15/0.58 % ...subsumed : 0
% 0.15/0.58 % ...remaining for further processing : 31
% 0.15/0.58 % Other redundant clauses eliminated : 4
% 0.15/0.58 % Clauses deleted for lack of memory : 0
% 0.15/0.58 % Backward-subsumed : 1
% 0.15/0.58 % Backward-rewritten : 2
% 0.15/0.58 % Generated clauses : 22
% 0.15/0.58 % ...of the previous two non-redundant : 13
% 0.15/0.58 % ...aggressively subsumed : 0
% 0.15/0.58 % Contextual simplify-reflections : 0
% 0.15/0.58 % Paramodulations : 19
% 0.15/0.58 % Factorizations : 0
% 0.15/0.58 % NegExts : 0
% 0.15/0.58 % Equation resolutions : 4
% 0.15/0.58 % Disequality decompositions : 0
% 0.15/0.58 % Total rewrite steps : 38
% 0.15/0.58 % ...of those cached : 31
% 0.15/0.58 % Propositional unsat checks : 0
% 0.15/0.58 % Propositional check models : 0
% 0.15/0.58 % Propositional check unsatisfiable : 0
% 0.15/0.58 % Propositional clauses : 0
% 0.15/0.58 % Propositional clauses after purity: 0
% 0.15/0.58 % Propositional unsat core size : 0
% 0.15/0.58 % Propositional preprocessing time : 0.000
% 0.15/0.58 % Propositional encoding time : 0.000
% 0.15/0.58 % Propositional solver time : 0.000
% 0.15/0.58 % Success case prop preproc time : 0.000
% 0.15/0.58 % Success case prop encoding time : 0.000
% 0.15/0.58 % Success case prop solver time : 0.000
% 0.15/0.58 % Current number of processed clauses : 25
% 0.15/0.58 % Positive orientable unit clauses : 9
% 0.15/0.58 % Positive unorientable unit clauses: 0
% 0.15/0.58 % Negative unit clauses : 0
% 0.15/0.58 % Non-unit-clauses : 16
% 0.15/0.58 % Current number of unprocessed clauses: 12
% 0.15/0.58 % ...number of literals in the above : 53
% 0.15/0.58 % Current number of archived formulas : 0
% 0.15/0.58 % Current number of archived clauses : 3
% 0.15/0.58 % Clause-clause subsumption calls (NU) : 35
% 0.15/0.58 % Rec. Clause-clause subsumption calls : 22
% 0.15/0.58 % Non-unit clause-clause subsumptions : 1
% 0.15/0.58 % Unit Clause-clause subsumption calls : 0
% 0.15/0.58 % Rewrite failures with RHS unbound : 0
% 0.15/0.58 % BW rewrite match attempts : 2
% 0.15/0.58 % BW rewrite match successes : 2
% 0.15/0.58 % Condensation attempts : 0
% 0.15/0.58 % Condensation successes : 0
% 0.15/0.58 % Termbank termtop insertions : 3197
% 0.15/0.58 % Search garbage collected termcells : 927
% 0.15/0.58
% 0.15/0.58 % -------------------------------------------------
% 0.15/0.58 % User time : 0.004 s
% 0.15/0.58 % System time : 0.004 s
% 0.15/0.58 % Total time : 0.008 s
% 0.15/0.58 % Maximum resident set size: 3812 pages
% 0.15/0.58
% 0.15/0.58 % -------------------------------------------------
% 0.15/0.58 % User time : 0.005 s
% 0.15/0.58 % System time : 0.008 s
% 0.15/0.58 % Total time : 0.014 s
% 0.15/0.58 % Maximum resident set size: 5120 pages
% 0.15/0.58 % E exiting
%------------------------------------------------------------------------------