%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWC185-1 : 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 : 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 02:45:18 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.43s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 22 ( 14 unt; 2 nHn; 22 RR)
% Number of literals : 48 ( 11 equ; 31 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_8,negated_conjecture,
( ~ memberP(X3,X1)
| app(app(X2,cons(X1,nil)),X3) != sk3
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
cnf(co1_12,negated_conjecture,
app(app(sk6,cons(sk5,nil)),sk7) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
cnf(co1_9,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
cnf(co1_11,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
cnf(co1_10,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
cnf(co1_7,negated_conjecture,
( ~ memberP(X2,X1)
| app(app(X2,cons(X1,nil)),X3) != sk3
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
cnf(co1_13,negated_conjecture,
( memberP(sk7,sk5)
| memberP(sk6,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
cnf(c_0_8,negated_conjecture,
( ~ memberP(X3,X1)
| app(app(X2,cons(X1,nil)),X3) != sk3
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(fof_simplification,[status(thm)],[co1_8]) ).
cnf(c_0_9,negated_conjecture,
app(app(sk6,cons(sk5,nil)),sk7) = sk1,
co1_12 ).
cnf(c_0_10,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_11,negated_conjecture,
( ~ memberP(X3,X1)
| app(app(X2,cons(X1,nil)),X3) != sk3
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1) ),
c_0_8 ).
cnf(c_0_12,negated_conjecture,
app(app(sk6,cons(sk5,nil)),sk7) = sk3,
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
ssItem(sk5),
co1_9 ).
cnf(c_0_14,negated_conjecture,
ssList(sk7),
co1_11 ).
cnf(c_0_15,negated_conjecture,
ssList(sk6),
co1_10 ).
cnf(c_0_16,negated_conjecture,
( ~ memberP(X2,X1)
| app(app(X2,cons(X1,nil)),X3) != sk3
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(fof_simplification,[status(thm)],[co1_7]) ).
cnf(c_0_17,negated_conjecture,
( memberP(sk7,sk5)
| memberP(sk6,sk5) ),
co1_13 ).
cnf(c_0_18,negated_conjecture,
~ memberP(sk7,sk5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14]),c_0_15])]) ).
cnf(c_0_19,negated_conjecture,
( ~ memberP(X2,X1)
| app(app(X2,cons(X1,nil)),X3) != sk3
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1) ),
c_0_16 ).
cnf(c_0_20,negated_conjecture,
memberP(sk6,sk5),
inference(sr,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_12]),c_0_20]),c_0_13]),c_0_14]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC185-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n019.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 08:03:04 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.43 % Version: 3.5.1
% 0.13/0.43 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.43 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.43 % Starting sh5l with 300s (1) cores
% 0.13/0.43 % new_bool_3 with pid 2093793 completed with status 0
% 0.13/0.43 % Result found by new_bool_3
% 0.13/0.43 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.43 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/0.43 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.43 % Search class: FGHSF-FFMM22-MFFFFFNN
% 0.13/0.43 % partial match(1): FGHSF-FFMM21-MFFFFFNN
% 0.13/0.43 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.43 % Starting SubtermCWHack with 31s (1) cores
% 0.13/0.43 % SubtermCWHack with pid 2093796 completed with status 0
% 0.13/0.43 % Result found by SubtermCWHack
% 0.13/0.43 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.43 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/0.43 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.43 % Search class: FGHSF-FFMM22-MFFFFFNN
% 0.13/0.43 % partial match(1): FGHSF-FFMM21-MFFFFFNN
% 0.13/0.43 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.43 % Starting SubtermCWHack with 31s (1) cores
% 0.13/0.43 % Preprocessing time : 0.002 s
% 0.13/0.43
% 0.13/0.43 % Proof found!
% 0.13/0.43 % SZS status Unsatisfiable
% 0.13/0.43 % SZS output start CNFRefutation
% See solution above
% 0.13/0.43 % Parsed axioms : 198
% 0.13/0.43 % Removed by relevancy pruning/SinE : 160
% 0.13/0.43 % Initial clauses : 38
% 0.13/0.43 % Removed in clause preprocessing : 0
% 0.13/0.43 % Initial clauses in saturation : 38
% 0.13/0.43 % Processed clauses : 132
% 0.13/0.43 % ...of these trivial : 3
% 0.13/0.43 % ...subsumed : 31
% 0.13/0.43 % ...remaining for further processing : 98
% 0.13/0.43 % Other redundant clauses eliminated : 8
% 0.13/0.43 % Clauses deleted for lack of memory : 0
% 0.13/0.43 % Backward-subsumed : 22
% 0.13/0.43 % Backward-rewritten : 4
% 0.13/0.43 % Generated clauses : 447
% 0.13/0.43 % ...of the previous two non-redundant : 328
% 0.13/0.43 % ...aggressively subsumed : 0
% 0.13/0.43 % Contextual simplify-reflections : 2
% 0.13/0.43 % Paramodulations : 435
% 0.13/0.43 % Factorizations : 0
% 0.13/0.43 % NegExts : 0
% 0.13/0.43 % Equation resolutions : 12
% 0.13/0.43 % Disequality decompositions : 0
% 0.13/0.43 % Total rewrite steps : 390
% 0.13/0.43 % ...of those cached : 379
% 0.13/0.43 % Propositional unsat checks : 0
% 0.13/0.43 % Propositional check models : 0
% 0.13/0.43 % Propositional check unsatisfiable : 0
% 0.13/0.43 % Propositional clauses : 0
% 0.13/0.43 % Propositional clauses after purity: 0
% 0.13/0.43 % Propositional unsat core size : 0
% 0.13/0.43 % Propositional preprocessing time : 0.000
% 0.13/0.43 % Propositional encoding time : 0.000
% 0.13/0.43 % Propositional solver time : 0.000
% 0.13/0.43 % Success case prop preproc time : 0.000
% 0.13/0.43 % Success case prop encoding time : 0.000
% 0.13/0.44 % Success case prop solver time : 0.000
% 0.13/0.44 % Current number of processed clauses : 68
% 0.13/0.44 % Positive orientable unit clauses : 12
% 0.13/0.44 % Positive unorientable unit clauses: 0
% 0.13/0.44 % Negative unit clauses : 3
% 0.13/0.44 % Non-unit-clauses : 53
% 0.13/0.44 % Current number of unprocessed clauses: 197
% 0.13/0.44 % ...number of literals in the above : 1008
% 0.13/0.44 % Current number of archived formulas : 0
% 0.13/0.44 % Current number of archived clauses : 27
% 0.13/0.44 % Clause-clause subsumption calls (NU) : 425
% 0.13/0.44 % Rec. Clause-clause subsumption calls : 244
% 0.13/0.44 % Non-unit clause-clause subsumptions : 43
% 0.13/0.44 % Unit Clause-clause subsumption calls : 51
% 0.13/0.44 % Rewrite failures with RHS unbound : 0
% 0.13/0.44 % BW rewrite match attempts : 4
% 0.13/0.44 % BW rewrite match successes : 4
% 0.13/0.44 % Condensation attempts : 0
% 0.13/0.44 % Condensation successes : 0
% 0.13/0.44 % Termbank termtop insertions : 10226
% 0.13/0.44 % Search garbage collected termcells : 911
% 0.13/0.44
% 0.13/0.44 % -------------------------------------------------
% 0.13/0.44 % User time : 0.015 s
% 0.13/0.44 % System time : 0.003 s
% 0.13/0.44 % Total time : 0.018 s
% 0.13/0.44 % Maximum resident set size: 3748 pages
% 0.13/0.44
% 0.13/0.44 % -------------------------------------------------
% 0.13/0.44 % User time : 0.017 s
% 0.13/0.44 % System time : 0.007 s
% 0.13/0.44 % Total time : 0.024 s
% 0.13/0.44 % Maximum resident set size: 5120 pages
% 0.13/0.44 % E exiting
%------------------------------------------------------------------------------