%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWC380-1 : 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 02:44:10 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.45s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 38 ( 12 unt; 1 nHn; 38 RR)
% Number of literals : 84 ( 23 equ; 49 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_17,negated_conjecture,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
cnf(co1_7,negated_conjecture,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
cnf(co1_15,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
cnf(clause138,axiom,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| X1 != X2
| memberP(cons(X2,X3),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause138) ).
cnf(clause120,axiom,
( ~ ssList(X2)
| ~ ssItem(X1)
| app(cons(X1,nil),X2) = cons(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause120) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
cnf(co1_18,negated_conjecture,
( ~ neq(sk4,nil)
| app(cons(sk5,nil),sk6) = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
cnf(co1_16,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
cnf(co1_14,negated_conjecture,
( ~ neq(sk4,nil)
| ~ memberP(sk2,X1)
| cons(X1,nil) != sk1
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
cnf(c_0_10,negated_conjecture,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk3 ),
inference(fof_simplification,[status(thm)],[co1_17]) ).
cnf(c_0_11,negated_conjecture,
neq(sk2,nil),
inference(fof_simplification,[status(thm)],[co1_7]) ).
cnf(c_0_12,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
inference(fof_simplification,[status(thm)],[co1_15]) ).
cnf(c_0_13,plain,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| X1 != X2
| memberP(cons(X2,X3),X1) ),
inference(fof_simplification,[status(thm)],[clause138]) ).
cnf(c_0_14,plain,
( ~ ssList(X2)
| ~ ssItem(X1)
| app(cons(X1,nil),X2) = cons(X1,X2) ),
inference(fof_simplification,[status(thm)],[clause120]) ).
cnf(c_0_15,negated_conjecture,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk3 ),
c_0_10 ).
cnf(c_0_16,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_17,negated_conjecture,
sk2 = sk4,
co1_5 ).
cnf(c_0_18,negated_conjecture,
neq(sk2,nil),
c_0_11 ).
cnf(c_0_19,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
c_0_12 ).
cnf(c_0_20,plain,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| X1 != X2
| memberP(cons(X2,X3),X1) ),
c_0_13 ).
cnf(c_0_21,plain,
( ~ ssList(X2)
| ~ ssItem(X1)
| app(cons(X1,nil),X2) = cons(X1,X2) ),
c_0_14 ).
cnf(c_0_22,negated_conjecture,
cons(sk5,nil) = sk1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18])]) ).
cnf(c_0_23,negated_conjecture,
ssItem(sk5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_17]),c_0_18])]) ).
cnf(c_0_24,negated_conjecture,
( ~ neq(sk4,nil)
| app(cons(sk5,nil),sk6) = sk4 ),
inference(fof_simplification,[status(thm)],[co1_18]) ).
cnf(c_0_25,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk6) ),
inference(fof_simplification,[status(thm)],[co1_16]) ).
cnf(c_0_26,negated_conjecture,
( ~ neq(sk4,nil)
| ~ memberP(sk2,X1)
| cons(X1,nil) != sk1
| ~ ssItem(X1) ),
inference(fof_simplification,[status(thm)],[co1_14]) ).
cnf(c_0_27,plain,
( ~ ssList(X2)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X1) ),
inference(er,[status(thm)],[c_0_20]) ).
cnf(c_0_28,negated_conjecture,
( ~ ssList(X1)
| cons(sk5,X1) = app(sk1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
cnf(c_0_29,negated_conjecture,
( ~ neq(sk4,nil)
| app(cons(sk5,nil),sk6) = sk4 ),
c_0_24 ).
cnf(c_0_30,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk6) ),
c_0_25 ).
cnf(c_0_31,negated_conjecture,
( ~ neq(sk4,nil)
| ~ memberP(sk2,X1)
| cons(X1,nil) != sk1
| ~ ssItem(X1) ),
c_0_26 ).
cnf(c_0_32,negated_conjecture,
( ~ ssList(X1)
| memberP(app(sk1,X1),sk5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_23])]) ).
cnf(c_0_33,negated_conjecture,
app(sk1,sk6) = sk2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_22]),c_0_17]),c_0_17]),c_0_18])]) ).
cnf(c_0_34,negated_conjecture,
ssList(sk6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_17]),c_0_18])]) ).
cnf(c_0_35,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_31,c_0_17]),c_0_18])]) ).
cnf(c_0_36,negated_conjecture,
memberP(sk2,sk5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).
cnf(c_0_37,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_22]),c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC380-1 : 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 : n001.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 08:25:29 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 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
% 0.16/0.45 % Version: 3.5.1
% 0.16/0.45 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.16/0.45 % Starting sh5l with 300s (1) cores
% 0.16/0.45 % new_bool_3 with pid 2667462 completed with status 0
% 0.16/0.45 % Result found by new_bool_3
% 0.16/0.45 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/0.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.45 % Search class: FGHSF-FFMM22-SFFFFFNN
% 0.16/0.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45 % Starting SubtermCWHack with 31s (1) cores
% 0.16/0.45 % SubtermCWHack with pid 2667465 completed with status 0
% 0.16/0.45 % Result found by SubtermCWHack
% 0.16/0.45 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/0.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.45 % Search class: FGHSF-FFMM22-SFFFFFNN
% 0.16/0.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45 % Starting SubtermCWHack with 31s (1) cores
% 0.16/0.45 % Preprocessing time : 0.002 s
% 0.16/0.45
% 0.16/0.45 % Proof found!
% 0.16/0.45 % SZS status Unsatisfiable
% 0.16/0.45 % SZS output start CNFRefutation
% See solution above
% 0.16/0.45 % Parsed axioms : 203
% 0.16/0.45 % Removed by relevancy pruning/SinE : 156
% 0.16/0.45 % Initial clauses : 47
% 0.16/0.45 % Removed in clause preprocessing : 0
% 0.16/0.45 % Initial clauses in saturation : 47
% 0.16/0.45 % Processed clauses : 60
% 0.16/0.45 % ...of these trivial : 6
% 0.16/0.45 % ...subsumed : 7
% 0.16/0.45 % ...remaining for further processing : 47
% 0.16/0.45 % Other redundant clauses eliminated : 5
% 0.16/0.45 % Clauses deleted for lack of memory : 0
% 0.16/0.45 % Backward-subsumed : 3
% 0.16/0.45 % Backward-rewritten : 2
% 0.16/0.45 % Generated clauses : 49
% 0.16/0.45 % ...of the previous two non-redundant : 31
% 0.16/0.45 % ...aggressively subsumed : 0
% 0.16/0.45 % Contextual simplify-reflections : 0
% 0.16/0.45 % Paramodulations : 45
% 0.16/0.45 % Factorizations : 0
% 0.16/0.45 % NegExts : 0
% 0.16/0.45 % Equation resolutions : 5
% 0.16/0.45 % Disequality decompositions : 0
% 0.16/0.45 % Total rewrite steps : 93
% 0.16/0.45 % ...of those cached : 83
% 0.16/0.45 % Propositional unsat checks : 0
% 0.16/0.45 % Propositional check models : 0
% 0.16/0.45 % Propositional check unsatisfiable : 0
% 0.16/0.45 % Propositional clauses : 0
% 0.16/0.45 % Propositional clauses after purity: 0
% 0.16/0.45 % Propositional unsat core size : 0
% 0.16/0.45 % Propositional preprocessing time : 0.000
% 0.16/0.45 % Propositional encoding time : 0.000
% 0.16/0.45 % Propositional solver time : 0.000
% 0.16/0.45 % Success case prop preproc time : 0.000
% 0.16/0.45 % Success case prop encoding time : 0.000
% 0.16/0.45 % Success case prop solver time : 0.000
% 0.16/0.45 % Current number of processed clauses : 38
% 0.16/0.45 % Positive orientable unit clauses : 14
% 0.16/0.45 % Positive unorientable unit clauses: 0
% 0.16/0.45 % Negative unit clauses : 3
% 0.16/0.45 % Non-unit-clauses : 21
% 0.16/0.45 % Current number of unprocessed clauses: 16
% 0.16/0.45 % ...number of literals in the above : 79
% 0.16/0.45 % Current number of archived formulas : 0
% 0.16/0.45 % Current number of archived clauses : 5
% 0.16/0.45 % Clause-clause subsumption calls (NU) : 57
% 0.16/0.45 % Rec. Clause-clause subsumption calls : 35
% 0.16/0.45 % Non-unit clause-clause subsumptions : 0
% 0.16/0.45 % Unit Clause-clause subsumption calls : 27
% 0.16/0.45 % Rewrite failures with RHS unbound : 0
% 0.16/0.45 % BW rewrite match attempts : 2
% 0.16/0.45 % BW rewrite match successes : 2
% 0.16/0.45 % Condensation attempts : 0
% 0.16/0.45 % Condensation successes : 0
% 0.16/0.45 % Termbank termtop insertions : 3910
% 0.16/0.45 % Search garbage collected termcells : 913
% 0.16/0.45
% 0.16/0.45 % -------------------------------------------------
% 0.16/0.45 % User time : 0.006 s
% 0.16/0.45 % System time : 0.001 s
% 0.16/0.45 % Total time : 0.008 s
% 0.16/0.45 % Maximum resident set size: 3812 pages
% 0.16/0.45
% 0.16/0.45 % -------------------------------------------------
% 0.16/0.45 % User time : 0.011 s
% 0.16/0.45 % System time : 0.006 s
% 0.16/0.45 % Total time : 0.017 s
% 0.16/0.45 % Maximum resident set size: 5120 pages
% 0.16/0.45 % E exiting
%------------------------------------------------------------------------------