%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWC207-1 : 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 : n015.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 02:43:27 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.64s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 30 ( 19 unt; 8 nHn; 30 RR)
% Number of literals : 50 ( 20 equ; 20 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_8,negated_conjecture,
~ neq(sk1,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
cnf(clause100,axiom,
( ~ ssList(X2)
| ~ ssList(X1)
| X2 = X1
| neq(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).
cnf(co1_3,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
cnf(clause8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(clause98,axiom,
( ~ ssList(X2)
| ~ ssItem(X1)
| cons(X1,X2) != nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause98) ).
cnf(co1_11,negated_conjecture,
( nil = sk4
| cons(sk5,nil) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
cnf(co1_7,negated_conjecture,
neq(sk2,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
cnf(co1_9,negated_conjecture,
( nil = sk4
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
cnf(c_0_10,negated_conjecture,
~ neq(sk1,nil),
inference(fof_simplification,[status(thm)],[co1_8]) ).
cnf(c_0_11,negated_conjecture,
~ neq(sk1,nil),
c_0_10 ).
cnf(c_0_12,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_13,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| X2 = X1
| neq(X2,X1) ),
inference(fof_simplification,[status(thm)],[clause100]) ).
cnf(c_0_14,negated_conjecture,
~ neq(sk3,nil),
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| X2 = X1
| neq(X2,X1) ),
c_0_13 ).
cnf(c_0_16,negated_conjecture,
ssList(sk3),
co1_3 ).
cnf(c_0_17,axiom,
ssList(nil),
clause8 ).
cnf(c_0_18,plain,
( ~ ssList(X2)
| ~ ssItem(X1)
| cons(X1,X2) != nil ),
inference(fof_simplification,[status(thm)],[clause98]) ).
cnf(c_0_19,negated_conjecture,
( nil = sk4
| cons(sk5,nil) = sk3 ),
co1_11 ).
cnf(c_0_20,negated_conjecture,
sk3 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17])]) ).
cnf(c_0_21,negated_conjecture,
neq(sk2,nil),
co1_7 ).
cnf(c_0_22,negated_conjecture,
sk2 = sk4,
co1_5 ).
cnf(c_0_23,plain,
( ~ ssList(X2)
| ~ ssItem(X1)
| cons(X1,X2) != nil ),
c_0_18 ).
cnf(c_0_24,negated_conjecture,
( sk4 = nil
| cons(sk5,nil) = nil ),
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
( nil = sk4
| ssItem(sk5) ),
co1_9 ).
cnf(c_0_26,negated_conjecture,
neq(sk4,nil),
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,negated_conjecture,
sk4 = nil,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_17])]),c_0_25]) ).
cnf(c_0_28,negated_conjecture,
~ neq(nil,nil),
inference(rw,[status(thm)],[c_0_14,c_0_20]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27]),c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC207-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.58 % Computer : n015.cluster.edu
% 0.13/0.58 % Model : x86_64 x86_64
% 0.13/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.58 % Memory : 8046.5625MB
% 0.13/0.58 % OS : Linux 6.8.0-71-generic
% 0.13/0.58 % CPULimit : 300
% 0.13/0.58 % WCLimit : 300
% 0.13/0.58 % DateTime : Mon Sep 21 08:08:07 UTC 2026
% 0.13/0.58 % CPUTime :
% 0.13/0.58 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.62 Running first-order theorem proving
% 0.05/0.62 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
% 0.16/0.64 % Version: 3.5.1
% 0.16/0.64 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.64 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.64 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.64 % Starting new_bool_1 with 300s (1) cores
% 0.16/0.64 % Starting sh5l with 300s (1) cores
% 0.16/0.64 % new_bool_3 with pid 998933 completed with status 0
% 0.16/0.64 % Result found by new_bool_3
% 0.16/0.64 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.64 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.64 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.64 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/0.64 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.64 % Search class: FGHSF-FFMM22-SFFFFFNN
% 0.16/0.64 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.64 % Starting SubtermCWHack with 31s (1) cores
% 0.16/0.64 % SubtermCWHack with pid 998936 completed with status 0
% 0.16/0.64 % Result found by SubtermCWHack
% 0.16/0.64 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.64 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.64 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.64 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/0.64 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.64 % Search class: FGHSF-FFMM22-SFFFFFNN
% 0.16/0.64 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.64 % Starting SubtermCWHack with 31s (1) cores
% 0.16/0.64 % Preprocessing time : 0.002 s
% 0.16/0.64
% 0.16/0.64 % Proof found!
% 0.16/0.64 % SZS status Unsatisfiable
% 0.16/0.64 % SZS output start CNFRefutation
% See solution above
% 0.16/0.64 % Parsed axioms : 201
% 0.16/0.64 % Removed by relevancy pruning/SinE : 145
% 0.16/0.64 % Initial clauses : 56
% 0.16/0.64 % Removed in clause preprocessing : 0
% 0.16/0.64 % Initial clauses in saturation : 56
% 0.16/0.64 % Processed clauses : 29
% 0.16/0.64 % ...of these trivial : 0
% 0.16/0.64 % ...subsumed : 0
% 0.16/0.64 % ...remaining for further processing : 29
% 0.16/0.64 % Other redundant clauses eliminated : 0
% 0.16/0.64 % Clauses deleted for lack of memory : 0
% 0.16/0.64 % Backward-subsumed : 0
% 0.16/0.64 % Backward-rewritten : 15
% 0.16/0.64 % Generated clauses : 7
% 0.16/0.64 % ...of the previous two non-redundant : 5
% 0.16/0.64 % ...aggressively subsumed : 0
% 0.16/0.64 % Contextual simplify-reflections : 1
% 0.16/0.64 % Paramodulations : 7
% 0.16/0.64 % Factorizations : 0
% 0.16/0.64 % NegExts : 0
% 0.16/0.64 % Equation resolutions : 0
% 0.16/0.64 % Disequality decompositions : 0
% 0.16/0.64 % Total rewrite steps : 30
% 0.16/0.64 % ...of those cached : 23
% 0.16/0.64 % Propositional unsat checks : 0
% 0.16/0.64 % Propositional check models : 0
% 0.16/0.64 % Propositional check unsatisfiable : 0
% 0.16/0.64 % Propositional clauses : 0
% 0.16/0.64 % Propositional clauses after purity: 0
% 0.16/0.64 % Propositional unsat core size : 0
% 0.16/0.64 % Propositional preprocessing time : 0.000
% 0.16/0.64 % Propositional encoding time : 0.000
% 0.16/0.64 % Propositional solver time : 0.000
% 0.16/0.64 % Success case prop preproc time : 0.000
% 0.16/0.64 % Success case prop encoding time : 0.000
% 0.16/0.64 % Success case prop solver time : 0.000
% 0.16/0.64 % Current number of processed clauses : 14
% 0.16/0.64 % Positive orientable unit clauses : 4
% 0.16/0.64 % Positive unorientable unit clauses: 0
% 0.16/0.64 % Negative unit clauses : 1
% 0.16/0.64 % Non-unit-clauses : 9
% 0.16/0.64 % Current number of unprocessed clauses: 32
% 0.16/0.64 % ...number of literals in the above : 154
% 0.16/0.64 % Current number of archived formulas : 0
% 0.16/0.64 % Current number of archived clauses : 15
% 0.16/0.64 % Clause-clause subsumption calls (NU) : 6
% 0.16/0.64 % Rec. Clause-clause subsumption calls : 6
% 0.16/0.64 % Non-unit clause-clause subsumptions : 1
% 0.16/0.64 % Unit Clause-clause subsumption calls : 0
% 0.16/0.64 % Rewrite failures with RHS unbound : 0
% 0.16/0.64 % BW rewrite match attempts : 4
% 0.16/0.64 % BW rewrite match successes : 4
% 0.16/0.64 % Condensation attempts : 0
% 0.16/0.64 % Condensation successes : 0
% 0.16/0.64 % Termbank termtop insertions : 3684
% 0.16/0.64 % Search garbage collected termcells : 894
% 0.16/0.64
% 0.16/0.64 % -------------------------------------------------
% 0.16/0.64 % User time : 0.007 s
% 0.16/0.64 % System time : 0.001 s
% 0.16/0.64 % Total time : 0.008 s
% 0.16/0.64 % Maximum resident set size: 3812 pages
% 0.16/0.64
% 0.16/0.64 % -------------------------------------------------
% 0.16/0.64 % User time : 0.009 s
% 0.16/0.64 % System time : 0.005 s
% 0.16/0.64 % Total time : 0.014 s
% 0.16/0.64 % Maximum resident set size: 5120 pages
% 0.16/0.64 % E exiting
%------------------------------------------------------------------------------