%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWC415-1 : 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 : n002.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 02:44:19 PM UTC 2026
% Result : Unsatisfiable 0.11s 15.68s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 36 ( 15 unt; 8 nHn; 36 RR)
% Number of literals : 92 ( 30 equ; 56 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_11,negated_conjecture,
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| tl(sk4) != X1
| ~ ssList(X1)
| sk3 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
cnf(co1_7,negated_conjecture,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
cnf(co1_12,negated_conjecture,
( ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| sk1 != X1
| tl(sk2) != X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
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(clause75,axiom,
( ~ ssList(X1)
| nil = X1
| ssList(tl(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause75) ).
cnf(co1_2,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
cnf(co1_1,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
cnf(clause100,axiom,
( ~ ssList(X2)
| ~ ssList(X1)
| X2 = X1
| neq(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).
cnf(clause115,axiom,
( ~ ssList(X1)
| ~ ssList(X2)
| ~ neq(X1,X2)
| X1 != X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause115) ).
cnf(clause8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(c_0_11,negated_conjecture,
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| tl(sk4) != X1
| ~ ssList(X1)
| sk3 = X1 ),
inference(fof_simplification,[status(thm)],[co1_11]) ).
cnf(c_0_12,negated_conjecture,
neq(sk2,nil),
inference(fof_simplification,[status(thm)],[co1_7]) ).
cnf(c_0_13,negated_conjecture,
( ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| sk1 != X1
| tl(sk2) != X1
| ~ ssList(X1) ),
inference(fof_simplification,[status(thm)],[co1_12]) ).
cnf(c_0_14,negated_conjecture,
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| tl(sk4) != X1
| ~ ssList(X1)
| sk3 = X1 ),
c_0_11 ).
cnf(c_0_15,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_16,negated_conjecture,
sk2 = sk4,
co1_5 ).
cnf(c_0_17,negated_conjecture,
neq(sk2,nil),
c_0_12 ).
cnf(c_0_18,plain,
( ~ ssList(X1)
| nil = X1
| ssList(tl(X1)) ),
inference(fof_simplification,[status(thm)],[clause75]) ).
cnf(c_0_19,negated_conjecture,
( ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| sk1 != X1
| tl(sk2) != X1
| ~ ssList(X1) ),
c_0_13 ).
cnf(c_0_20,negated_conjecture,
( ~ ssList(tl(sk2))
| ~ neq(nil,sk2)
| tl(sk2) = sk1 ),
inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_16]),c_0_16]),c_0_17])])]) ).
cnf(c_0_21,plain,
( ~ ssList(X1)
| nil = X1
| ssList(tl(X1)) ),
c_0_18 ).
cnf(c_0_22,negated_conjecture,
ssList(sk2),
co1_2 ).
cnf(c_0_23,negated_conjecture,
( ~ ssList(tl(sk2))
| ~ neq(nil,sk2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_16]),c_0_17])])]),c_0_20]) ).
cnf(c_0_24,negated_conjecture,
( ~ neq(nil,sk2)
| sk2 = nil
| tl(sk2) = sk1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).
cnf(c_0_25,negated_conjecture,
ssList(sk1),
co1_1 ).
cnf(c_0_26,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| X2 = X1
| neq(X2,X1) ),
inference(fof_simplification,[status(thm)],[clause100]) ).
cnf(c_0_27,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| ~ neq(X1,X2)
| X1 != X2 ),
inference(fof_simplification,[status(thm)],[clause115]) ).
cnf(c_0_28,negated_conjecture,
( ~ neq(nil,sk2)
| sk2 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
cnf(c_0_29,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| X2 = X1
| neq(X2,X1) ),
c_0_26 ).
cnf(c_0_30,axiom,
ssList(nil),
clause8 ).
cnf(c_0_31,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| ~ neq(X1,X2)
| X1 != X2 ),
c_0_27 ).
cnf(c_0_32,negated_conjecture,
sk2 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_22])]) ).
cnf(c_0_33,plain,
( ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(er,[status(thm)],[c_0_31]) ).
cnf(c_0_34,negated_conjecture,
neq(nil,nil),
inference(rw,[status(thm)],[c_0_17,c_0_32]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC415-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/15.61 % Computer : n002.cluster.edu
% 0.11/15.61 % Model : x86_64 x86_64
% 0.11/15.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/15.61 % Memory : 8046.5625MB
% 0.11/15.61 % OS : Linux 6.8.0-71-generic
% 0.11/15.61 % CPULimit : 300
% 0.11/15.61 % WCLimit : 300
% 0.11/15.61 % DateTime : Mon Sep 21 08:25:34 UTC 2026
% 0.11/15.61 % CPUTime :
% 0.11/15.61 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/15.65 Running first-order theorem proving
% 0.11/15.65 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
% 0.11/15.68 % Version: 3.5.1
% 0.11/15.68 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.11/15.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/15.68 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.11/15.68 % Starting new_bool_3 with 300s (1) cores
% 0.11/15.68 % Starting new_bool_1 with 300s (1) cores
% 0.11/15.68 % Starting sh5l with 300s (1) cores
% 0.11/15.68 % new_bool_1 with pid 2863414 completed with status 0
% 0.11/15.68 % Result found by new_bool_1
% 0.11/15.68 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.11/15.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/15.68 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.11/15.68 % Starting new_bool_3 with 300s (1) cores
% 0.11/15.68 % Starting new_bool_1 with 300s (1) cores
% 0.11/15.68 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.11/15.68 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/15.68 % Search class: FGHSF-FFMM21-MFFFFFNN
% 0.11/15.68 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.11/15.68 % Starting SubtermCWHack with 31s (1) cores
% 0.11/15.68 % SubtermCWHack with pid 2863417 completed with status 0
% 0.11/15.68 % Result found by SubtermCWHack
% 0.11/15.68 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.11/15.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/15.68 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.11/15.68 % Starting new_bool_3 with 300s (1) cores
% 0.11/15.68 % Starting new_bool_1 with 300s (1) cores
% 0.11/15.68 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.11/15.68 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/15.68 % Search class: FGHSF-FFMM21-MFFFFFNN
% 0.11/15.68 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.11/15.68 % Starting SubtermCWHack with 31s (1) cores
% 0.11/15.68 % Preprocessing time : 0.001 s
% 0.11/15.68
% 0.11/15.68 % Proof found!
% 0.11/15.68 % SZS status Unsatisfiable
% 0.11/15.68 % SZS output start CNFRefutation
% See solution above
% 0.11/15.68 % Parsed axioms : 197
% 0.11/15.68 % Removed by relevancy pruning/SinE : 129
% 0.11/15.68 % Initial clauses : 68
% 0.11/15.68 % Removed in clause preprocessing : 0
% 0.11/15.68 % Initial clauses in saturation : 68
% 0.11/15.68 % Processed clauses : 72
% 0.11/15.68 % ...of these trivial : 3
% 0.11/15.68 % ...subsumed : 9
% 0.11/15.68 % ...remaining for further processing : 60
% 0.11/15.68 % Other redundant clauses eliminated : 11
% 0.11/15.68 % Clauses deleted for lack of memory : 0
% 0.11/15.68 % Backward-subsumed : 5
% 0.11/15.68 % Backward-rewritten : 8
% 0.11/15.68 % Generated clauses : 56
% 0.11/15.68 % ...of the previous two non-redundant : 41
% 0.11/15.68 % ...aggressively subsumed : 0
% 0.11/15.68 % Contextual simplify-reflections : 1
% 0.11/15.68 % Paramodulations : 45
% 0.11/15.68 % Factorizations : 0
% 0.11/15.68 % NegExts : 0
% 0.11/15.68 % Equation resolutions : 12
% 0.11/15.68 % Disequality decompositions : 0
% 0.11/15.68 % Total rewrite steps : 57
% 0.11/15.68 % ...of those cached : 50
% 0.11/15.68 % Propositional unsat checks : 0
% 0.11/15.68 % Propositional check models : 0
% 0.11/15.68 % Propositional check unsatisfiable : 0
% 0.11/15.68 % Propositional clauses : 0
% 0.11/15.68 % Propositional clauses after purity: 0
% 0.11/15.68 % Propositional unsat core size : 0
% 0.11/15.68 % Propositional preprocessing time : 0.000
% 0.11/15.68 % Propositional encoding time : 0.000
% 0.11/15.68 % Propositional solver time : 0.000
% 0.11/15.68 % Success case prop preproc time : 0.000
% 0.11/15.68 % Success case prop encoding time : 0.000
% 0.11/15.68 % Success case prop solver time : 0.000
% 0.11/15.68 % Current number of processed clauses : 39
% 0.11/15.68 % Positive orientable unit clauses : 8
% 0.11/15.68 % Positive unorientable unit clauses: 0
% 0.11/15.68 % Negative unit clauses : 0
% 0.11/15.68 % Non-unit-clauses : 31
% 0.11/15.68 % Current number of unprocessed clauses: 36
% 0.11/15.68 % ...number of literals in the above : 204
% 0.11/15.68 % Current number of archived formulas : 0
% 0.11/15.68 % Current number of archived clauses : 13
% 0.11/15.68 % Clause-clause subsumption calls (NU) : 290
% 0.11/15.68 % Rec. Clause-clause subsumption calls : 115
% 0.11/15.68 % Non-unit clause-clause subsumptions : 15
% 0.11/15.68 % Unit Clause-clause subsumption calls : 14
% 0.11/15.68 % Rewrite failures with RHS unbound : 0
% 0.11/15.68 % BW rewrite match attempts : 3
% 0.11/15.68 % BW rewrite match successes : 3
% 0.11/15.68 % Condensation attempts : 0
% 0.11/15.68 % Condensation successes : 0
% 0.11/15.68 % Termbank termtop insertions : 5093
% 0.11/15.68 % Search garbage collected termcells : 868
% 0.11/15.68
% 0.11/15.68 % -------------------------------------------------
% 0.11/15.68 % User time : 0.005 s
% 0.11/15.68 % System time : 0.003 s
% 0.11/15.68 % Total time : 0.008 s
% 0.11/15.68 % Maximum resident set size: 3812 pages
% 0.11/15.68
% 0.11/15.68 % -------------------------------------------------
% 0.11/15.68 % User time : 0.013 s
% 0.11/15.68 % System time : 0.004 s
% 0.11/15.68 % Total time : 0.017 s
% 0.11/15.68 % Maximum resident set size: 5120 pages
% 0.11/15.68 % E exiting
%------------------------------------------------------------------------------