%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWC386-1 : 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 : n019.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 02:44:11 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.52s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of clauses : 41 ( 11 unt; 14 nHn; 41 RR)
% Number of literals : 85 ( 39 equ; 38 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_14,negated_conjecture,
( ~ memberP(sk2,X1)
| cons(X1,nil) != sk1
| ~ ssItem(X1)
| nil = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
cnf(co1_15,negated_conjecture,
( nil != sk1
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
cnf(co1_10,negated_conjecture,
( nil = sk4
| memberP(sk4,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
cnf(co1_7,negated_conjecture,
( nil = sk4
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
cnf(co1_9,negated_conjecture,
( nil = sk4
| cons(sk5,nil) = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
cnf(clause115,axiom,
( ~ ssList(X1)
| ~ ssList(X2)
| ~ neq(X1,X2)
| X1 != X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause115) ).
cnf(co1_12,negated_conjecture,
( nil = sk3
| memberP(sk4,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
cnf(clause8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(clause71,axiom,
( ~ ssItem(X1)
| ~ memberP(nil,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause71) ).
cnf(co1_8,negated_conjecture,
( nil = sk3
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
cnf(c_0_12,negated_conjecture,
( ~ memberP(sk2,X1)
| cons(X1,nil) != sk1
| ~ ssItem(X1)
| nil = sk2 ),
inference(fof_simplification,[status(thm)],[co1_14]) ).
cnf(c_0_13,negated_conjecture,
( nil != sk1
| neq(sk2,nil) ),
inference(fof_simplification,[status(thm)],[co1_15]) ).
cnf(c_0_14,negated_conjecture,
( ~ memberP(sk2,X1)
| cons(X1,nil) != sk1
| ~ ssItem(X1)
| nil = sk2 ),
c_0_12 ).
cnf(c_0_15,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_16,negated_conjecture,
( nil = sk4
| memberP(sk4,sk5) ),
co1_10 ).
cnf(c_0_17,negated_conjecture,
sk2 = sk4,
co1_5 ).
cnf(c_0_18,negated_conjecture,
( nil = sk4
| ssItem(sk5) ),
co1_7 ).
cnf(c_0_19,negated_conjecture,
( nil = sk4
| cons(sk5,nil) = sk3 ),
co1_9 ).
cnf(c_0_20,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| ~ neq(X1,X2)
| X1 != X2 ),
inference(fof_simplification,[status(thm)],[clause115]) ).
cnf(c_0_21,negated_conjecture,
( nil != sk1
| neq(sk2,nil) ),
c_0_13 ).
cnf(c_0_22,negated_conjecture,
( ~ ssItem(X1)
| ~ memberP(sk2,X1)
| cons(X1,nil) != sk3
| sk2 = nil ),
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_23,negated_conjecture,
( memberP(sk2,sk5)
| sk2 = nil ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_17]) ).
cnf(c_0_24,negated_conjecture,
( ssItem(sk5)
| sk2 = nil ),
inference(rw,[status(thm)],[c_0_18,c_0_17]) ).
cnf(c_0_25,negated_conjecture,
( sk2 = nil
| cons(sk5,nil) = sk3 ),
inference(rw,[status(thm)],[c_0_19,c_0_17]) ).
cnf(c_0_26,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| ~ neq(X1,X2)
| X1 != X2 ),
c_0_20 ).
cnf(c_0_27,negated_conjecture,
( sk3 != nil
| neq(sk2,nil) ),
inference(rw,[status(thm)],[c_0_21,c_0_15]) ).
cnf(c_0_28,negated_conjecture,
sk2 = nil,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25]) ).
cnf(c_0_29,negated_conjecture,
( nil = sk3
| memberP(sk4,sk5) ),
co1_12 ).
cnf(c_0_30,plain,
( ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(er,[status(thm)],[c_0_26]) ).
cnf(c_0_31,negated_conjecture,
( sk3 != nil
| neq(nil,nil) ),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,axiom,
ssList(nil),
clause8 ).
cnf(c_0_33,plain,
( ~ ssItem(X1)
| ~ memberP(nil,X1) ),
inference(fof_simplification,[status(thm)],[clause71]) ).
cnf(c_0_34,negated_conjecture,
( memberP(sk2,sk5)
| sk3 = nil ),
inference(rw,[status(thm)],[c_0_29,c_0_17]) ).
cnf(c_0_35,negated_conjecture,
sk3 != nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).
cnf(c_0_36,negated_conjecture,
( nil = sk3
| ssItem(sk5) ),
co1_8 ).
cnf(c_0_37,plain,
( ~ ssItem(X1)
| ~ memberP(nil,X1) ),
c_0_33 ).
cnf(c_0_38,negated_conjecture,
memberP(nil,sk5),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_28]),c_0_35]) ).
cnf(c_0_39,negated_conjecture,
ssItem(sk5),
inference(sr,[status(thm)],[c_0_36,c_0_35]) ).
cnf(c_0_40,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC386-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/5.36 % Computer : n019.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.36 % CPULimit : 300
% 0.10/5.36 % WCLimit : 300
% 0.10/5.36 % DateTime : Mon Sep 21 08:20:29 UTC 2026
% 0.10/5.36 % CPUTime :
% 0.10/5.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/5.44 Running first-order theorem proving
% 0.14/5.44 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
% 0.14/5.52 % Version: 3.5.1
% 0.14/5.52 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/5.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.52 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/5.52 % Starting new_bool_3 with 300s (1) cores
% 0.14/5.52 % Starting new_bool_1 with 300s (1) cores
% 0.14/5.52 % Starting sh5l with 300s (1) cores
% 0.14/5.52 % new_bool_3 with pid 2122585 completed with status 0
% 0.14/5.52 % Result found by new_bool_3
% 0.14/5.52 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/5.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.52 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/5.52 % Starting new_bool_3 with 300s (1) cores
% 0.14/5.52 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/5.52 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/5.52 % Search class: FGHSF-FFMM22-SFFFFFNN
% 0.14/5.52 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/5.52 % Starting SubtermCWHack with 31s (1) cores
% 0.14/5.52 % SubtermCWHack with pid 2122588 completed with status 0
% 0.14/5.52 % Result found by SubtermCWHack
% 0.14/5.52 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/5.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.52 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/5.52 % Starting new_bool_3 with 300s (1) cores
% 0.14/5.52 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/5.52 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/5.52 % Search class: FGHSF-FFMM22-SFFFFFNN
% 0.14/5.52 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/5.52 % Starting SubtermCWHack with 31s (1) cores
% 0.14/5.52 % Preprocessing time : 0.003 s
% 0.14/5.52
% 0.14/5.52 % Proof found!
% 0.14/5.52 % SZS status Unsatisfiable
% 0.14/5.52 % SZS output start CNFRefutation
% See solution above
% 0.14/5.52 % Parsed axioms : 201
% 0.14/5.52 % Removed by relevancy pruning/SinE : 156
% 0.14/5.52 % Initial clauses : 45
% 0.14/5.52 % Removed in clause preprocessing : 0
% 0.14/5.52 % Initial clauses in saturation : 45
% 0.14/5.52 % Processed clauses : 45
% 0.14/5.52 % ...of these trivial : 0
% 0.14/5.52 % ...subsumed : 4
% 0.14/5.52 % ...remaining for further processing : 41
% 0.14/5.52 % Other redundant clauses eliminated : 4
% 0.14/5.52 % Clauses deleted for lack of memory : 0
% 0.14/5.52 % Backward-subsumed : 1
% 0.14/5.52 % Backward-rewritten : 12
% 0.14/5.52 % Generated clauses : 24
% 0.14/5.52 % ...of the previous two non-redundant : 16
% 0.14/5.52 % ...aggressively subsumed : 0
% 0.14/5.52 % Contextual simplify-reflections : 3
% 0.14/5.52 % Paramodulations : 19
% 0.14/5.52 % Factorizations : 0
% 0.14/5.52 % NegExts : 0
% 0.14/5.52 % Equation resolutions : 4
% 0.14/5.52 % Disequality decompositions : 0
% 0.14/5.52 % Total rewrite steps : 52
% 0.14/5.52 % ...of those cached : 45
% 0.14/5.52 % Propositional unsat checks : 0
% 0.14/5.52 % Propositional check models : 0
% 0.14/5.52 % Propositional check unsatisfiable : 0
% 0.14/5.52 % Propositional clauses : 0
% 0.14/5.52 % Propositional clauses after purity: 0
% 0.14/5.52 % Propositional unsat core size : 0
% 0.14/5.52 % Propositional preprocessing time : 0.000
% 0.14/5.52 % Propositional encoding time : 0.000
% 0.14/5.52 % Propositional solver time : 0.000
% 0.14/5.52 % Success case prop preproc time : 0.000
% 0.14/5.52 % Success case prop encoding time : 0.000
% 0.14/5.52 % Success case prop solver time : 0.000
% 0.14/5.52 % Current number of processed clauses : 23
% 0.14/5.52 % Positive orientable unit clauses : 9
% 0.14/5.52 % Positive unorientable unit clauses: 0
% 0.14/5.52 % Negative unit clauses : 1
% 0.14/5.52 % Non-unit-clauses : 13
% 0.14/5.52 % Current number of unprocessed clauses: 15
% 0.14/5.52 % ...number of literals in the above : 75
% 0.14/5.52 % Current number of archived formulas : 0
% 0.14/5.52 % Current number of archived clauses : 15
% 0.14/5.52 % Clause-clause subsumption calls (NU) : 66
% 0.14/5.52 % Rec. Clause-clause subsumption calls : 38
% 0.14/5.52 % Non-unit clause-clause subsumptions : 4
% 0.14/5.52 % Unit Clause-clause subsumption calls : 5
% 0.14/5.52 % Rewrite failures with RHS unbound : 0
% 0.14/5.52 % BW rewrite match attempts : 3
% 0.14/5.52 % BW rewrite match successes : 3
% 0.14/5.52 % Condensation attempts : 0
% 0.14/5.52 % Condensation successes : 0
% 0.14/5.52 % Termbank termtop insertions : 3517
% 0.14/5.52 % Search garbage collected termcells : 909
% 0.14/5.52
% 0.14/5.52 % -------------------------------------------------
% 0.14/5.52 % User time : 0.011 s
% 0.14/5.52 % System time : 0.002 s
% 0.14/5.52 % Total time : 0.014 s
% 0.14/5.52 % Maximum resident set size: 4068 pages
% 0.14/5.52
% 0.14/5.52 % -------------------------------------------------
% 0.14/5.52 % User time : 0.019 s
% 0.14/5.52 % System time : 0.009 s
% 0.14/5.52 % Total time : 0.028 s
% 0.14/5.52 % Maximum resident set size: 4864 pages
% 0.14/5.52 % E exiting
%------------------------------------------------------------------------------