%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWC381-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 02:44:10 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.48s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 24 ( 10 unt; 1 nHn; 24 RR)
% Number of literals : 45 ( 12 equ; 24 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_13,negated_conjecture,
( ~ neq(sk4,nil)
| ~ memberP(sk2,X1)
| cons(X1,nil) != sk1
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
cnf(co1_7,negated_conjecture,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
cnf(co1_16,negated_conjecture,
( ~ neq(sk4,nil)
| memberP(sk4,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
cnf(co1_15,negated_conjecture,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
cnf(co1_14,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
cnf(c_0_7,negated_conjecture,
( ~ neq(sk4,nil)
| ~ memberP(sk2,X1)
| cons(X1,nil) != sk1
| ~ ssItem(X1) ),
inference(fof_simplification,[status(thm)],[co1_13]) ).
cnf(c_0_8,negated_conjecture,
neq(sk2,nil),
inference(fof_simplification,[status(thm)],[co1_7]) ).
cnf(c_0_9,negated_conjecture,
( ~ neq(sk4,nil)
| memberP(sk4,sk5) ),
inference(fof_simplification,[status(thm)],[co1_16]) ).
cnf(c_0_10,negated_conjecture,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk3 ),
inference(fof_simplification,[status(thm)],[co1_15]) ).
cnf(c_0_11,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
inference(fof_simplification,[status(thm)],[co1_14]) ).
cnf(c_0_12,negated_conjecture,
( ~ neq(sk4,nil)
| ~ memberP(sk2,X1)
| cons(X1,nil) != sk1
| ~ ssItem(X1) ),
c_0_7 ).
cnf(c_0_13,negated_conjecture,
sk2 = sk4,
co1_5 ).
cnf(c_0_14,negated_conjecture,
neq(sk2,nil),
c_0_8 ).
cnf(c_0_15,negated_conjecture,
( ~ neq(sk4,nil)
| memberP(sk4,sk5) ),
c_0_9 ).
cnf(c_0_16,negated_conjecture,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk3 ),
c_0_10 ).
cnf(c_0_17,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_18,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
c_0_11 ).
cnf(c_0_19,negated_conjecture,
( ~ ssItem(X1)
| ~ memberP(sk2,X1)
| cons(X1,nil) != sk1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
cnf(c_0_20,negated_conjecture,
memberP(sk2,sk5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_13]),c_0_13]),c_0_14])]) ).
cnf(c_0_21,negated_conjecture,
cons(sk5,nil) = sk1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_13]),c_0_14])]) ).
cnf(c_0_22,negated_conjecture,
ssItem(sk5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_13]),c_0_14])]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC381-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n001.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 08:25:45 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.44 Running first-order theorem proving
% 0.14/0.44 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.14/0.48 % Version: 3.5.1
% 0.14/0.48 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.48 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.48 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.48 % Starting sh5l with 300s (1) cores
% 0.14/0.48 % new_bool_3 with pid 2668252 completed with status 0
% 0.14/0.48 % Result found by new_bool_3
% 0.14/0.48 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.48 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.48 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/0.48 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.48 % Search class: FGHSF-FFMM22-SFFFFFNN
% 0.14/0.48 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.48 % Starting SubtermCWHack with 31s (1) cores
% 0.14/0.48 % SubtermCWHack with pid 2668255 completed with status 0
% 0.14/0.48 % Result found by SubtermCWHack
% 0.14/0.48 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.48 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.48 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/0.48 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.48 % Search class: FGHSF-FFMM22-SFFFFFNN
% 0.14/0.48 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.48 % Starting SubtermCWHack with 31s (1) cores
% 0.14/0.48 % Preprocessing time : 0.002 s
% 0.14/0.48
% 0.14/0.48 % Proof found!
% 0.14/0.48 % SZS status Unsatisfiable
% 0.14/0.48 % SZS output start CNFRefutation
% See solution above
% 0.14/0.49 % Parsed axioms : 201
% 0.14/0.49 % Removed by relevancy pruning/SinE : 156
% 0.14/0.49 % Initial clauses : 45
% 0.14/0.49 % Removed in clause preprocessing : 0
% 0.14/0.49 % Initial clauses in saturation : 45
% 0.14/0.49 % Processed clauses : 52
% 0.14/0.49 % ...of these trivial : 5
% 0.14/0.49 % ...subsumed : 7
% 0.14/0.49 % ...remaining for further processing : 40
% 0.14/0.49 % Other redundant clauses eliminated : 5
% 0.14/0.49 % Clauses deleted for lack of memory : 0
% 0.14/0.49 % Backward-subsumed : 0
% 0.14/0.49 % Backward-rewritten : 2
% 0.14/0.49 % Generated clauses : 34
% 0.14/0.49 % ...of the previous two non-redundant : 21
% 0.14/0.49 % ...aggressively subsumed : 0
% 0.14/0.49 % Contextual simplify-reflections : 0
% 0.14/0.49 % Paramodulations : 30
% 0.14/0.49 % Factorizations : 0
% 0.14/0.49 % NegExts : 0
% 0.14/0.49 % Equation resolutions : 5
% 0.14/0.49 % Disequality decompositions : 0
% 0.14/0.49 % Total rewrite steps : 71
% 0.14/0.49 % ...of those cached : 61
% 0.14/0.49 % Propositional unsat checks : 0
% 0.14/0.49 % Propositional check models : 0
% 0.14/0.49 % Propositional check unsatisfiable : 0
% 0.14/0.49 % Propositional clauses : 0
% 0.14/0.49 % Propositional clauses after purity: 0
% 0.14/0.49 % Propositional unsat core size : 0
% 0.14/0.49 % Propositional preprocessing time : 0.000
% 0.14/0.49 % Propositional encoding time : 0.000
% 0.14/0.49 % Propositional solver time : 0.000
% 0.14/0.49 % Success case prop preproc time : 0.000
% 0.14/0.49 % Success case prop encoding time : 0.000
% 0.14/0.49 % Success case prop solver time : 0.000
% 0.14/0.49 % Current number of processed clauses : 34
% 0.14/0.49 % Positive orientable unit clauses : 12
% 0.14/0.49 % Positive unorientable unit clauses: 0
% 0.14/0.49 % Negative unit clauses : 1
% 0.14/0.49 % Non-unit-clauses : 21
% 0.14/0.49 % Current number of unprocessed clauses: 14
% 0.14/0.49 % ...number of literals in the above : 73
% 0.14/0.49 % Current number of archived formulas : 0
% 0.14/0.49 % Current number of archived clauses : 2
% 0.14/0.49 % Clause-clause subsumption calls (NU) : 60
% 0.14/0.49 % Rec. Clause-clause subsumption calls : 36
% 0.14/0.49 % Non-unit clause-clause subsumptions : 2
% 0.14/0.49 % Unit Clause-clause subsumption calls : 0
% 0.14/0.49 % Rewrite failures with RHS unbound : 0
% 0.14/0.49 % BW rewrite match attempts : 2
% 0.14/0.49 % BW rewrite match successes : 2
% 0.14/0.49 % Condensation attempts : 0
% 0.14/0.49 % Condensation successes : 0
% 0.14/0.49 % Termbank termtop insertions : 3745
% 0.14/0.49 % Search garbage collected termcells : 912
% 0.14/0.49
% 0.14/0.49 % -------------------------------------------------
% 0.14/0.49 % User time : 0.005 s
% 0.14/0.49 % System time : 0.005 s
% 0.14/0.49 % Total time : 0.010 s
% 0.14/0.49 % Maximum resident set size: 3812 pages
% 0.14/0.49
% 0.14/0.49 % -------------------------------------------------
% 0.14/0.49 % User time : 0.014 s
% 0.14/0.49 % System time : 0.009 s
% 0.14/0.49 % Total time : 0.023 s
% 0.14/0.49 % Maximum resident set size: 5120 pages
% 0.14/0.49 % E exiting
%------------------------------------------------------------------------------