%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWC353-1 : 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 : n014.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 02:44:03 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.46s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 22 ( 15 unt; 0 nHn; 22 RR)
% Number of literals : 42 ( 9 equ; 24 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause144,axiom,
( ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X1,X2) != X3
| frontsegP(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause144) ).
cnf(clause85,axiom,
( ~ ssList(X2)
| ~ ssList(X1)
| ssList(app(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(co1_11,negated_conjecture,
~ frontsegP(sk2,sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
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(co1_8,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
cnf(co1_7,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
cnf(co1_3,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
cnf(c_0_8,plain,
( ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X1,X2) != X3
| frontsegP(X3,X1) ),
inference(fof_simplification,[status(thm)],[clause144]) ).
cnf(c_0_9,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| ssList(app(X2,X1)) ),
inference(fof_simplification,[status(thm)],[clause85]) ).
cnf(c_0_10,negated_conjecture,
~ frontsegP(sk2,sk1),
inference(fof_simplification,[status(thm)],[co1_11]) ).
cnf(c_0_11,plain,
( ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X1,X2) != X3
| frontsegP(X3,X1) ),
c_0_8 ).
cnf(c_0_12,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| ssList(app(X2,X1)) ),
c_0_9 ).
cnf(c_0_13,negated_conjecture,
~ frontsegP(sk2,sk1),
c_0_10 ).
cnf(c_0_14,negated_conjecture,
sk2 = sk4,
co1_5 ).
cnf(c_0_15,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_16,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| frontsegP(app(X1,X2),X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_11]),c_0_12]) ).
cnf(c_0_17,negated_conjecture,
app(sk3,sk5) = sk4,
co1_8 ).
cnf(c_0_18,negated_conjecture,
ssList(sk5),
co1_7 ).
cnf(c_0_19,negated_conjecture,
ssList(sk3),
co1_3 ).
cnf(c_0_20,negated_conjecture,
~ frontsegP(sk4,sk3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19])]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC353-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n014.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 08:18:19 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 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
% 0.16/0.46 % Version: 3.5.1
% 0.16/0.46 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.46 % Starting new_bool_1 with 300s (1) cores
% 0.16/0.46 % Starting sh5l with 300s (1) cores
% 0.16/0.46 % new_bool_3 with pid 3621207 completed with status 0
% 0.16/0.46 % Result found by new_bool_3
% 0.16/0.46 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/0.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.46 % Search class: FGHSF-FFMM21-MFFFFFNN
% 0.16/0.46 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.46 % Starting SubtermCWHack with 31s (1) cores
% 0.16/0.46 % SubtermCWHack with pid 3621210 completed with status 0
% 0.16/0.46 % Result found by SubtermCWHack
% 0.16/0.46 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/0.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.46 % Search class: FGHSF-FFMM21-MFFFFFNN
% 0.16/0.46 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.46 % Starting SubtermCWHack with 31s (1) cores
% 0.16/0.46 % Preprocessing time : 0.002 s
% 0.16/0.46
% 0.16/0.46 % Proof found!
% 0.16/0.46 % SZS status Unsatisfiable
% 0.16/0.46 % SZS output start CNFRefutation
% See solution above
% 0.16/0.46 % Parsed axioms : 197
% 0.16/0.46 % Removed by relevancy pruning/SinE : 128
% 0.16/0.46 % Initial clauses : 69
% 0.16/0.46 % Removed in clause preprocessing : 0
% 0.16/0.46 % Initial clauses in saturation : 69
% 0.16/0.46 % Processed clauses : 67
% 0.16/0.46 % ...of these trivial : 0
% 0.16/0.46 % ...subsumed : 10
% 0.16/0.46 % ...remaining for further processing : 57
% 0.16/0.46 % Other redundant clauses eliminated : 7
% 0.16/0.46 % Clauses deleted for lack of memory : 0
% 0.16/0.46 % Backward-subsumed : 0
% 0.16/0.46 % Backward-rewritten : 2
% 0.16/0.46 % Generated clauses : 44
% 0.16/0.46 % ...of the previous two non-redundant : 24
% 0.16/0.46 % ...aggressively subsumed : 0
% 0.16/0.46 % Contextual simplify-reflections : 2
% 0.16/0.46 % Paramodulations : 38
% 0.16/0.46 % Factorizations : 0
% 0.16/0.46 % NegExts : 0
% 0.16/0.46 % Equation resolutions : 7
% 0.16/0.46 % Disequality decompositions : 0
% 0.16/0.46 % Total rewrite steps : 39
% 0.16/0.46 % ...of those cached : 33
% 0.16/0.46 % Propositional unsat checks : 0
% 0.16/0.46 % Propositional check models : 0
% 0.16/0.46 % Propositional check unsatisfiable : 0
% 0.16/0.46 % Propositional clauses : 0
% 0.16/0.46 % Propositional clauses after purity: 0
% 0.16/0.46 % Propositional unsat core size : 0
% 0.16/0.46 % Propositional preprocessing time : 0.000
% 0.16/0.46 % Propositional encoding time : 0.000
% 0.16/0.46 % Propositional solver time : 0.000
% 0.16/0.46 % Success case prop preproc time : 0.000
% 0.16/0.46 % Success case prop encoding time : 0.000
% 0.16/0.46 % Success case prop solver time : 0.000
% 0.16/0.46 % Current number of processed clauses : 49
% 0.16/0.46 % Positive orientable unit clauses : 12
% 0.16/0.46 % Positive unorientable unit clauses: 0
% 0.16/0.46 % Negative unit clauses : 1
% 0.16/0.46 % Non-unit-clauses : 36
% 0.16/0.46 % Current number of unprocessed clauses: 25
% 0.16/0.46 % ...number of literals in the above : 146
% 0.16/0.46 % Current number of archived formulas : 0
% 0.16/0.46 % Current number of archived clauses : 2
% 0.16/0.46 % Clause-clause subsumption calls (NU) : 191
% 0.16/0.46 % Rec. Clause-clause subsumption calls : 89
% 0.16/0.46 % Non-unit clause-clause subsumptions : 12
% 0.16/0.46 % Unit Clause-clause subsumption calls : 0
% 0.16/0.46 % Rewrite failures with RHS unbound : 0
% 0.16/0.46 % BW rewrite match attempts : 2
% 0.16/0.46 % BW rewrite match successes : 2
% 0.16/0.46 % Condensation attempts : 0
% 0.16/0.46 % Condensation successes : 0
% 0.16/0.46 % Termbank termtop insertions : 4887
% 0.16/0.46 % Search garbage collected termcells : 858
% 0.16/0.46
% 0.16/0.46 % -------------------------------------------------
% 0.16/0.46 % User time : 0.006 s
% 0.16/0.46 % System time : 0.002 s
% 0.16/0.46 % Total time : 0.008 s
% 0.16/0.46 % Maximum resident set size: 4068 pages
% 0.16/0.46
% 0.16/0.46 % -------------------------------------------------
% 0.16/0.46 % User time : 0.009 s
% 0.16/0.46 % System time : 0.008 s
% 0.16/0.46 % Total time : 0.017 s
% 0.16/0.46 % Maximum resident set size: 5120 pages
% 0.16/0.46 % E exiting
%------------------------------------------------------------------------------