%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWC098-1 : 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 : 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 02:42:59 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.48s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of clauses : 51 ( 12 unt; 13 nHn; 51 RR)
% Number of literals : 137 ( 61 equ; 85 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_11,negated_conjecture,
( nil != sk1
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
cnf(clause98,axiom,
( ~ ssList(X2)
| ~ ssItem(X1)
| cons(X1,X2) != nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause98) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
cnf(co1_19,negated_conjecture,
( ~ leq(sk6,X1)
| ~ memberP(sk4,X1)
| ~ ssItem(X1)
| nil = sk3
| sk6 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).
cnf(co1_14,negated_conjecture,
( nil = sk4
| cons(sk6,nil) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
cnf(clause8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(co1_12,negated_conjecture,
( nil = sk4
| ssItem(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
cnf(co1_9,negated_conjecture,
( ~ memberP(sk2,X1)
| cons(X1,nil) != sk1
| ~ ssItem(X1)
| leq(X1,sk5(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
cnf(co1_17,negated_conjecture,
( nil = sk3
| cons(sk6,nil) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
cnf(co1_18,negated_conjecture,
( nil = sk3
| memberP(sk4,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
cnf(co1_13,negated_conjecture,
( nil = sk3
| ssItem(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
cnf(co1_8,negated_conjecture,
( ~ memberP(sk2,X1)
| cons(X1,nil) != sk1
| ~ ssItem(X1)
| memberP(sk2,sk5(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
cnf(co1_7,negated_conjecture,
( ~ memberP(sk2,X1)
| cons(X1,nil) != sk1
| ~ ssItem(X1)
| ssItem(sk5(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
cnf(co1_10,negated_conjecture,
( ~ memberP(sk2,X1)
| X1 != sk5(X1)
| cons(X1,nil) != sk1
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
cnf(c_0_15,negated_conjecture,
( nil != sk1
| nil != sk2 ),
inference(fof_simplification,[status(thm)],[co1_11]) ).
cnf(c_0_16,plain,
( ~ ssList(X2)
| ~ ssItem(X1)
| cons(X1,X2) != nil ),
inference(fof_simplification,[status(thm)],[clause98]) ).
cnf(c_0_17,negated_conjecture,
( nil != sk1
| nil != sk2 ),
c_0_15 ).
cnf(c_0_18,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_19,negated_conjecture,
sk2 = sk4,
co1_5 ).
cnf(c_0_20,negated_conjecture,
( ~ leq(sk6,X1)
| ~ memberP(sk4,X1)
| ~ ssItem(X1)
| nil = sk3
| sk6 = X1 ),
inference(fof_simplification,[status(thm)],[co1_19]) ).
cnf(c_0_21,plain,
( ~ ssList(X2)
| ~ ssItem(X1)
| cons(X1,X2) != nil ),
c_0_16 ).
cnf(c_0_22,negated_conjecture,
( nil = sk4
| cons(sk6,nil) = sk3 ),
co1_14 ).
cnf(c_0_23,axiom,
ssList(nil),
clause8 ).
cnf(c_0_24,negated_conjecture,
( nil = sk4
| ssItem(sk6) ),
co1_12 ).
cnf(c_0_25,negated_conjecture,
( sk4 != nil
| sk3 != nil ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_26,negated_conjecture,
( ~ memberP(sk2,X1)
| cons(X1,nil) != sk1
| ~ ssItem(X1)
| leq(X1,sk5(X1)) ),
inference(fof_simplification,[status(thm)],[co1_9]) ).
cnf(c_0_27,negated_conjecture,
( ~ leq(sk6,X1)
| ~ memberP(sk4,X1)
| ~ ssItem(X1)
| nil = sk3
| sk6 = X1 ),
c_0_20 ).
cnf(c_0_28,negated_conjecture,
sk3 != nil,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]),c_0_24]),c_0_25]) ).
cnf(c_0_29,negated_conjecture,
( ~ memberP(sk2,X1)
| cons(X1,nil) != sk1
| ~ ssItem(X1)
| leq(X1,sk5(X1)) ),
c_0_26 ).
cnf(c_0_30,negated_conjecture,
( nil = sk3
| cons(sk6,nil) = sk3 ),
co1_17 ).
cnf(c_0_31,negated_conjecture,
( nil = sk3
| memberP(sk4,sk6) ),
co1_18 ).
cnf(c_0_32,negated_conjecture,
( nil = sk3
| ssItem(sk6) ),
co1_13 ).
cnf(c_0_33,negated_conjecture,
( ~ memberP(sk2,X1)
| cons(X1,nil) != sk1
| ~ ssItem(X1)
| memberP(sk2,sk5(X1)) ),
inference(fof_simplification,[status(thm)],[co1_8]) ).
cnf(c_0_34,negated_conjecture,
( ~ ssItem(X1)
| ~ leq(sk6,X1)
| ~ memberP(sk4,X1)
| sk6 = X1 ),
inference(sr,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_35,negated_conjecture,
( ~ ssItem(X1)
| ~ memberP(sk4,X1)
| cons(X1,nil) != sk3
| leq(X1,sk5(X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_18]),c_0_19]) ).
cnf(c_0_36,negated_conjecture,
cons(sk6,nil) = sk3,
inference(sr,[status(thm)],[c_0_30,c_0_28]) ).
cnf(c_0_37,negated_conjecture,
memberP(sk4,sk6),
inference(sr,[status(thm)],[c_0_31,c_0_28]) ).
cnf(c_0_38,negated_conjecture,
ssItem(sk6),
inference(sr,[status(thm)],[c_0_32,c_0_28]) ).
cnf(c_0_39,negated_conjecture,
( ~ memberP(sk2,X1)
| cons(X1,nil) != sk1
| ~ ssItem(X1)
| memberP(sk2,sk5(X1)) ),
c_0_33 ).
cnf(c_0_40,negated_conjecture,
( ~ memberP(sk2,X1)
| cons(X1,nil) != sk1
| ~ ssItem(X1)
| ssItem(sk5(X1)) ),
inference(fof_simplification,[status(thm)],[co1_7]) ).
cnf(c_0_41,negated_conjecture,
( ~ memberP(sk2,X1)
| X1 != sk5(X1)
| cons(X1,nil) != sk1
| ~ ssItem(X1) ),
inference(fof_simplification,[status(thm)],[co1_10]) ).
cnf(c_0_42,negated_conjecture,
( ~ ssItem(sk5(sk6))
| ~ memberP(sk4,sk5(sk6))
| sk5(sk6) = sk6 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_37]),c_0_38])]) ).
cnf(c_0_43,negated_conjecture,
( ~ ssItem(X1)
| ~ memberP(sk4,X1)
| cons(X1,nil) != sk3
| memberP(sk4,sk5(X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_19]),c_0_18]),c_0_19]) ).
cnf(c_0_44,negated_conjecture,
( ~ memberP(sk2,X1)
| cons(X1,nil) != sk1
| ~ ssItem(X1)
| ssItem(sk5(X1)) ),
c_0_40 ).
cnf(c_0_45,negated_conjecture,
( ~ memberP(sk2,X1)
| X1 != sk5(X1)
| cons(X1,nil) != sk1
| ~ ssItem(X1) ),
c_0_41 ).
cnf(c_0_46,negated_conjecture,
( ~ ssItem(sk5(sk6))
| sk5(sk6) = sk6 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_36]),c_0_37]),c_0_38])]) ).
cnf(c_0_47,negated_conjecture,
( ~ ssItem(X1)
| ~ memberP(sk4,X1)
| cons(X1,nil) != sk3
| ssItem(sk5(X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_18]),c_0_19]) ).
cnf(c_0_48,negated_conjecture,
( ~ ssItem(X1)
| ~ memberP(sk4,X1)
| sk5(X1) != X1
| cons(X1,nil) != sk3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_18]),c_0_19]) ).
cnf(c_0_49,negated_conjecture,
sk5(sk6) = sk6,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_36]),c_0_37]),c_0_38])]) ).
cnf(c_0_50,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_36]),c_0_37]),c_0_38])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC098-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n014.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 07:55:36 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 0.16/0.48 % Version: 3.5.1
% 0.16/0.48 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.48 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.48 % Starting new_bool_1 with 300s (1) cores
% 0.16/0.48 % Starting sh5l with 300s (1) cores
% 0.16/0.48 % new_bool_3 with pid 3581060 completed with status 0
% 0.16/0.48 % Result found by new_bool_3
% 0.16/0.48 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.48 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.48 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/0.48 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.48 % Search class: FGHSF-FFMM21-SFFFFFNN
% 0.16/0.48 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.48 % Starting SubtermCWHack with 28s (1) cores
% 0.16/0.48 % SubtermCWHack with pid 3581064 completed with status 0
% 0.16/0.48 % Result found by SubtermCWHack
% 0.16/0.48 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.48 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.48 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/0.48 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.48 % Search class: FGHSF-FFMM21-SFFFFFNN
% 0.16/0.48 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.48 % Starting SubtermCWHack with 28s (1) cores
% 0.16/0.48 % Preprocessing time : 0.001 s
% 0.16/0.48
% 0.16/0.48 % Proof found!
% 0.16/0.48 % SZS status Unsatisfiable
% 0.16/0.48 % SZS output start CNFRefutation
% See solution above
% 0.16/0.48 % Parsed axioms : 204
% 0.16/0.48 % Removed by relevancy pruning/SinE : 149
% 0.16/0.48 % Initial clauses : 55
% 0.16/0.48 % Removed in clause preprocessing : 0
% 0.16/0.48 % Initial clauses in saturation : 55
% 0.16/0.48 % Processed clauses : 61
% 0.16/0.48 % ...of these trivial : 0
% 0.16/0.48 % ...subsumed : 9
% 0.16/0.48 % ...remaining for further processing : 52
% 0.16/0.48 % Other redundant clauses eliminated : 4
% 0.16/0.48 % Clauses deleted for lack of memory : 0
% 0.16/0.48 % Backward-subsumed : 5
% 0.16/0.48 % Backward-rewritten : 3
% 0.16/0.48 % Generated clauses : 40
% 0.16/0.48 % ...of the previous two non-redundant : 24
% 0.16/0.48 % ...aggressively subsumed : 0
% 0.16/0.48 % Contextual simplify-reflections : 2
% 0.16/0.48 % Paramodulations : 34
% 0.16/0.48 % Factorizations : 0
% 0.16/0.48 % NegExts : 0
% 0.16/0.48 % Equation resolutions : 4
% 0.16/0.48 % Disequality decompositions : 0
% 0.16/0.48 % Total rewrite steps : 62
% 0.16/0.48 % ...of those cached : 53
% 0.16/0.48 % Propositional unsat checks : 0
% 0.16/0.48 % Propositional check models : 0
% 0.16/0.48 % Propositional check unsatisfiable : 0
% 0.16/0.48 % Propositional clauses : 0
% 0.16/0.48 % Propositional clauses after purity: 0
% 0.16/0.48 % Propositional unsat core size : 0
% 0.16/0.48 % Propositional preprocessing time : 0.000
% 0.16/0.48 % Propositional encoding time : 0.000
% 0.16/0.48 % Propositional solver time : 0.000
% 0.16/0.48 % Success case prop preproc time : 0.000
% 0.16/0.48 % Success case prop encoding time : 0.000
% 0.16/0.48 % Success case prop solver time : 0.000
% 0.16/0.48 % Current number of processed clauses : 38
% 0.16/0.48 % Positive orientable unit clauses : 11
% 0.16/0.48 % Positive unorientable unit clauses: 0
% 0.16/0.48 % Negative unit clauses : 1
% 0.16/0.48 % Non-unit-clauses : 26
% 0.16/0.48 % Current number of unprocessed clauses: 18
% 0.16/0.48 % ...number of literals in the above : 97
% 0.16/0.48 % Current number of archived formulas : 0
% 0.16/0.48 % Current number of archived clauses : 11
% 0.16/0.48 % Clause-clause subsumption calls (NU) : 125
% 0.16/0.48 % Rec. Clause-clause subsumption calls : 46
% 0.16/0.48 % Non-unit clause-clause subsumptions : 9
% 0.16/0.48 % Unit Clause-clause subsumption calls : 6
% 0.16/0.48 % Rewrite failures with RHS unbound : 0
% 0.16/0.48 % BW rewrite match attempts : 6
% 0.16/0.48 % BW rewrite match successes : 6
% 0.16/0.48 % Condensation attempts : 0
% 0.16/0.48 % Condensation successes : 0
% 0.16/0.48 % Termbank termtop insertions : 4361
% 0.16/0.48 % Search garbage collected termcells : 918
% 0.16/0.48
% 0.16/0.48 % -------------------------------------------------
% 0.16/0.48 % User time : 0.005 s
% 0.16/0.48 % System time : 0.003 s
% 0.16/0.48 % Total time : 0.008 s
% 0.16/0.48 % Maximum resident set size: 3816 pages
% 0.16/0.48
% 0.16/0.48 % -------------------------------------------------
% 0.16/0.48 % User time : 0.010 s
% 0.16/0.48 % System time : 0.007 s
% 0.16/0.48 % Total time : 0.017 s
% 0.16/0.48 % Maximum resident set size: 5120 pages
% 0.16/0.48 % E exiting
%------------------------------------------------------------------------------