%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWC352-1 : 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 : 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 02:44:03 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.48s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 28 ( 15 unt; 3 nHn; 28 RR)
% Number of literals : 47 ( 15 equ; 23 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_7,negated_conjecture,
~ frontsegP(sk2,sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
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,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
cnf(co1_10,negated_conjecture,
( ~ neq(sk4,nil)
| frontsegP(sk4,sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
cnf(clause60,axiom,
( ~ ssList(X1)
| frontsegP(X1,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause60) ).
cnf(clause100,axiom,
( ~ ssList(X2)
| ~ ssList(X1)
| X2 = X1
| neq(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).
cnf(co1_4,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
cnf(clause8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(c_0_9,negated_conjecture,
~ frontsegP(sk2,sk1),
inference(fof_simplification,[status(thm)],[co1_7]) ).
cnf(c_0_10,negated_conjecture,
~ frontsegP(sk2,sk1),
c_0_9 ).
cnf(c_0_11,negated_conjecture,
sk2 = sk4,
co1_5 ).
cnf(c_0_12,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_13,negated_conjecture,
( nil != sk4
| nil = sk3 ),
inference(fof_simplification,[status(thm)],[co1_8]) ).
cnf(c_0_14,negated_conjecture,
( ~ neq(sk4,nil)
| frontsegP(sk4,sk3) ),
inference(fof_simplification,[status(thm)],[co1_10]) ).
cnf(c_0_15,negated_conjecture,
~ frontsegP(sk4,sk3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( nil != sk4
| nil = sk3 ),
c_0_13 ).
cnf(c_0_17,plain,
( ~ ssList(X1)
| frontsegP(X1,nil) ),
inference(fof_simplification,[status(thm)],[clause60]) ).
cnf(c_0_18,negated_conjecture,
( ~ neq(sk4,nil)
| frontsegP(sk4,sk3) ),
c_0_14 ).
cnf(c_0_19,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| X2 = X1
| neq(X2,X1) ),
inference(fof_simplification,[status(thm)],[clause100]) ).
cnf(c_0_20,negated_conjecture,
( ~ frontsegP(sk4,nil)
| sk4 != nil ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
( ~ ssList(X1)
| frontsegP(X1,nil) ),
c_0_17 ).
cnf(c_0_22,negated_conjecture,
ssList(sk4),
co1_4 ).
cnf(c_0_23,negated_conjecture,
~ neq(sk4,nil),
inference(sr,[status(thm)],[c_0_18,c_0_15]) ).
cnf(c_0_24,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| X2 = X1
| neq(X2,X1) ),
c_0_19 ).
cnf(c_0_25,axiom,
ssList(nil),
clause8 ).
cnf(c_0_26,negated_conjecture,
sk4 != nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).
cnf(c_0_27,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_23,c_0_24]),c_0_22]),c_0_25])]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC352-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 08:23:59 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 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
% 0.14/0.48 % Version: 3.5.1
% 0.14/0.48 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.48 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S 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 2663727 completed with status 0
% 0.14/0.48 % Result found by new_bool_3
% 0.14/0.48 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.48 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S 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 2663730 completed with status 0
% 0.14/0.48 % Result found by SubtermCWHack
% 0.14/0.48 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.48 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S 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
% 0.14/0.48 % Parsed axioms : 195
% 0.14/0.48 % Removed by relevancy pruning/SinE : 153
% 0.14/0.48 % Initial clauses : 42
% 0.14/0.48 % Removed in clause preprocessing : 0
% 0.14/0.48 % Initial clauses in saturation : 42
% 0.14/0.48 % Processed clauses : 22
% 0.14/0.48 % ...of these trivial : 0
% 0.14/0.48 % ...subsumed : 1
% 0.14/0.48 % ...remaining for further processing : 21
% 0.14/0.48 % Other redundant clauses eliminated : 1
% 0.14/0.48 % Clauses deleted for lack of memory : 0
% 0.14/0.48 % Backward-subsumed : 2
% 0.14/0.48 % Backward-rewritten : 2
% 0.14/0.48 % Generated clauses : 5
% 0.14/0.48 % ...of the previous two non-redundant : 3
% 0.14/0.48 % ...aggressively subsumed : 0
% 0.14/0.48 % Contextual simplify-reflections : 0
% 0.14/0.48 % Paramodulations : 4
% 0.14/0.48 % Factorizations : 0
% 0.14/0.48 % NegExts : 0
% 0.14/0.48 % Equation resolutions : 1
% 0.14/0.48 % Disequality decompositions : 0
% 0.14/0.48 % Total rewrite steps : 11
% 0.14/0.48 % ...of those cached : 6
% 0.14/0.48 % Propositional unsat checks : 0
% 0.14/0.48 % Propositional check models : 0
% 0.14/0.48 % Propositional check unsatisfiable : 0
% 0.14/0.48 % Propositional clauses : 0
% 0.14/0.48 % Propositional clauses after purity: 0
% 0.14/0.48 % Propositional unsat core size : 0
% 0.14/0.48 % Propositional preprocessing time : 0.000
% 0.14/0.48 % Propositional encoding time : 0.000
% 0.14/0.48 % Propositional solver time : 0.000
% 0.14/0.48 % Success case prop preproc time : 0.000
% 0.14/0.48 % Success case prop encoding time : 0.000
% 0.14/0.48 % Success case prop solver time : 0.000
% 0.14/0.48 % Current number of processed clauses : 16
% 0.14/0.48 % Positive orientable unit clauses : 6
% 0.14/0.48 % Positive unorientable unit clauses: 0
% 0.14/0.48 % Negative unit clauses : 3
% 0.14/0.48 % Non-unit-clauses : 7
% 0.14/0.48 % Current number of unprocessed clauses: 23
% 0.14/0.48 % ...number of literals in the above : 107
% 0.14/0.48 % Current number of archived formulas : 0
% 0.14/0.48 % Current number of archived clauses : 4
% 0.14/0.48 % Clause-clause subsumption calls (NU) : 17
% 0.14/0.48 % Rec. Clause-clause subsumption calls : 17
% 0.14/0.48 % Non-unit clause-clause subsumptions : 0
% 0.14/0.48 % Unit Clause-clause subsumption calls : 3
% 0.14/0.48 % Rewrite failures with RHS unbound : 0
% 0.14/0.48 % BW rewrite match attempts : 2
% 0.14/0.48 % BW rewrite match successes : 2
% 0.14/0.48 % Condensation attempts : 0
% 0.14/0.48 % Condensation successes : 0
% 0.14/0.48 % Termbank termtop insertions : 3148
% 0.14/0.48 % Search garbage collected termcells : 909
% 0.14/0.48
% 0.14/0.48 % -------------------------------------------------
% 0.14/0.48 % User time : 0.004 s
% 0.14/0.48 % System time : 0.003 s
% 0.14/0.48 % Total time : 0.006 s
% 0.14/0.48 % Maximum resident set size: 4012 pages
% 0.14/0.48
% 0.14/0.48 % -------------------------------------------------
% 0.14/0.48 % User time : 0.007 s
% 0.14/0.48 % System time : 0.007 s
% 0.14/0.48 % Total time : 0.015 s
% 0.14/0.48 % Maximum resident set size: 4864 pages
% 0.14/0.48 % E exiting
%------------------------------------------------------------------------------