%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWC039-1 : 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 : n008.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 02:42:43 PM UTC 2026
% Result : Unsatisfiable 0.13s 5.63s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of clauses : 39 ( 22 unt; 6 nHn; 39 RR)
% Number of literals : 71 ( 37 equ; 30 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_8,negated_conjecture,
nil != sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
cnf(co1_6,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
cnf(co1_5,negated_conjecture,
nil = sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
cnf(co1_7,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
cnf(clause119,axiom,
( ~ ssList(X1)
| ~ ssList(X2)
| app(X1,X2) != nil
| nil = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause119) ).
cnf(co1_20,negated_conjecture,
( nil = sk3
| app(app(sk6,sk3),sk7) = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_20) ).
cnf(co1_18,negated_conjecture,
( nil = sk3
| ssList(sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
cnf(clause85,axiom,
( ~ ssList(X2)
| ~ ssList(X1)
| ssList(app(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(co1_17,negated_conjecture,
( nil = sk3
| ssList(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
cnf(co1_3,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
cnf(clause118,axiom,
( ~ ssList(X1)
| ~ ssList(X2)
| app(X1,X2) != nil
| nil = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause118) ).
cnf(clause8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(c_0_12,negated_conjecture,
nil != sk1,
inference(fof_simplification,[status(thm)],[co1_8]) ).
cnf(c_0_13,negated_conjecture,
sk2 = sk4,
co1_6 ).
cnf(c_0_14,negated_conjecture,
nil = sk2,
co1_5 ).
cnf(c_0_15,negated_conjecture,
nil != sk1,
c_0_12 ).
cnf(c_0_16,negated_conjecture,
sk1 = sk3,
co1_7 ).
cnf(c_0_17,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| app(X1,X2) != nil
| nil = X2 ),
inference(fof_simplification,[status(thm)],[clause119]) ).
cnf(c_0_18,negated_conjecture,
( nil = sk3
| app(app(sk6,sk3),sk7) = sk4 ),
co1_20 ).
cnf(c_0_19,negated_conjecture,
sk4 = nil,
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,negated_conjecture,
sk3 != nil,
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
( nil = sk3
| ssList(sk7) ),
co1_18 ).
cnf(c_0_22,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| app(X1,X2) != nil
| nil = X2 ),
c_0_17 ).
cnf(c_0_23,negated_conjecture,
app(app(sk6,sk3),sk7) = nil,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
cnf(c_0_24,negated_conjecture,
ssList(sk7),
inference(sr,[status(thm)],[c_0_21,c_0_20]) ).
cnf(c_0_25,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| ssList(app(X2,X1)) ),
inference(fof_simplification,[status(thm)],[clause85]) ).
cnf(c_0_26,negated_conjecture,
( nil = sk3
| ssList(sk6) ),
co1_17 ).
cnf(c_0_27,negated_conjecture,
( ~ ssList(app(sk6,sk3))
| sk7 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).
cnf(c_0_28,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| ssList(app(X2,X1)) ),
c_0_25 ).
cnf(c_0_29,negated_conjecture,
ssList(sk6),
inference(sr,[status(thm)],[c_0_26,c_0_20]) ).
cnf(c_0_30,negated_conjecture,
ssList(sk3),
co1_3 ).
cnf(c_0_31,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| app(X1,X2) != nil
| nil = X1 ),
inference(fof_simplification,[status(thm)],[clause118]) ).
cnf(c_0_32,negated_conjecture,
sk7 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30])]) ).
cnf(c_0_33,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| app(X1,X2) != nil
| nil = X1 ),
c_0_31 ).
cnf(c_0_34,negated_conjecture,
app(app(sk6,sk3),nil) = nil,
inference(rw,[status(thm)],[c_0_23,c_0_32]) ).
cnf(c_0_35,axiom,
ssList(nil),
clause8 ).
cnf(c_0_36,negated_conjecture,
( ~ ssList(app(sk6,sk3))
| app(sk6,sk3) = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).
cnf(c_0_37,negated_conjecture,
app(sk6,sk3) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_28]),c_0_29]),c_0_30])]) ).
cnf(c_0_38,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_37]),c_0_30]),c_0_29])]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC039-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/5.55 % Computer : n008.cluster.edu
% 0.09/5.55 % Model : x86_64 x86_64
% 0.09/5.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.55 % Memory : 8046.5625MB
% 0.09/5.55 % OS : Linux 6.8.0-71-generic
% 0.09/5.55 % CPULimit : 300
% 0.09/5.55 % WCLimit : 300
% 0.09/5.55 % DateTime : Mon Sep 21 07:51:33 UTC 2026
% 0.09/5.56 % CPUTime :
% 0.09/5.56 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/5.60 Running first-order theorem proving
% 0.13/5.60 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
% 0.13/5.63 % Version: 3.5.1
% 0.13/5.63 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/5.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/5.63 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/5.63 % Starting new_bool_3 with 300s (1) cores
% 0.13/5.63 % Starting new_bool_1 with 300s (1) cores
% 0.13/5.63 % Starting sh5l with 300s (1) cores
% 0.13/5.63 % new_bool_1 with pid 519802 completed with status 0
% 0.13/5.63 % Result found by new_bool_1
% 0.13/5.63 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/5.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/5.63 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/5.63 % Starting new_bool_3 with 300s (1) cores
% 0.13/5.63 % Starting new_bool_1 with 300s (1) cores
% 0.13/5.63 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/5.63 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/5.63 % Search class: FGHSF-FFMM22-SFFFFFNN
% 0.13/5.63 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/5.63 % Starting SubtermCWHack with 31s (1) cores
% 0.13/5.63 % SubtermCWHack with pid 519805 completed with status 0
% 0.13/5.63 % Result found by SubtermCWHack
% 0.13/5.63 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/5.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/5.63 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/5.63 % Starting new_bool_3 with 300s (1) cores
% 0.13/5.63 % Starting new_bool_1 with 300s (1) cores
% 0.13/5.63 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/5.63 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/5.63 % Search class: FGHSF-FFMM22-SFFFFFNN
% 0.13/5.63 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/5.63 % Starting SubtermCWHack with 31s (1) cores
% 0.13/5.63 % Preprocessing time : 0.002 s
% 0.13/5.63
% 0.13/5.63 % Proof found!
% 0.13/5.63 % SZS status Unsatisfiable
% 0.13/5.63 % SZS output start CNFRefutation
% See solution above
% 0.13/5.63 % Parsed axioms : 207
% 0.13/5.63 % Removed by relevancy pruning/SinE : 149
% 0.13/5.63 % Initial clauses : 58
% 0.13/5.63 % Removed in clause preprocessing : 0
% 0.13/5.63 % Initial clauses in saturation : 58
% 0.13/5.63 % Processed clauses : 48
% 0.13/5.63 % ...of these trivial : 7
% 0.13/5.63 % ...subsumed : 4
% 0.13/5.63 % ...remaining for further processing : 37
% 0.13/5.63 % Other redundant clauses eliminated : 3
% 0.13/5.63 % Clauses deleted for lack of memory : 0
% 0.13/5.63 % Backward-subsumed : 0
% 0.13/5.63 % Backward-rewritten : 9
% 0.13/5.63 % Generated clauses : 20
% 0.13/5.63 % ...of the previous two non-redundant : 11
% 0.13/5.63 % ...aggressively subsumed : 0
% 0.13/5.63 % Contextual simplify-reflections : 0
% 0.13/5.63 % Paramodulations : 18
% 0.13/5.63 % Factorizations : 0
% 0.13/5.63 % NegExts : 0
% 0.13/5.63 % Equation resolutions : 3
% 0.13/5.63 % Disequality decompositions : 0
% 0.13/5.63 % Total rewrite steps : 58
% 0.13/5.63 % ...of those cached : 45
% 0.13/5.63 % Propositional unsat checks : 0
% 0.13/5.63 % Propositional check models : 0
% 0.13/5.63 % Propositional check unsatisfiable : 0
% 0.13/5.63 % Propositional clauses : 0
% 0.13/5.63 % Propositional clauses after purity: 0
% 0.13/5.63 % Propositional unsat core size : 0
% 0.13/5.63 % Propositional preprocessing time : 0.000
% 0.13/5.63 % Propositional encoding time : 0.000
% 0.13/5.63 % Propositional solver time : 0.000
% 0.13/5.63 % Success case prop preproc time : 0.000
% 0.13/5.63 % Success case prop encoding time : 0.000
% 0.13/5.63 % Success case prop solver time : 0.000
% 0.13/5.63 % Current number of processed clauses : 26
% 0.13/5.63 % Positive orientable unit clauses : 11
% 0.13/5.63 % Positive unorientable unit clauses: 0
% 0.13/5.63 % Negative unit clauses : 1
% 0.13/5.63 % Non-unit-clauses : 14
% 0.13/5.63 % Current number of unprocessed clauses: 21
% 0.13/5.63 % ...number of literals in the above : 106
% 0.13/5.63 % Current number of archived formulas : 0
% 0.13/5.63 % Current number of archived clauses : 9
% 0.13/5.63 % Clause-clause subsumption calls (NU) : 62
% 0.13/5.63 % Rec. Clause-clause subsumption calls : 31
% 0.13/5.63 % Non-unit clause-clause subsumptions : 2
% 0.13/5.63 % Unit Clause-clause subsumption calls : 3
% 0.13/5.63 % Rewrite failures with RHS unbound : 0
% 0.13/5.63 % BW rewrite match attempts : 5
% 0.13/5.63 % BW rewrite match successes : 5
% 0.13/5.63 % Condensation attempts : 0
% 0.13/5.63 % Condensation successes : 0
% 0.13/5.63 % Termbank termtop insertions : 3946
% 0.13/5.63 % Search garbage collected termcells : 905
% 0.13/5.63
% 0.13/5.63 % -------------------------------------------------
% 0.13/5.63 % User time : 0.005 s
% 0.13/5.63 % System time : 0.004 s
% 0.13/5.63 % Total time : 0.009 s
% 0.13/5.63 % Maximum resident set size: 3816 pages
% 0.13/5.63
% 0.13/5.63 % -------------------------------------------------
% 0.13/5.63 % User time : 0.008 s
% 0.13/5.63 % System time : 0.009 s
% 0.13/5.63 % Total time : 0.018 s
% 0.13/5.63 % Maximum resident set size: 4864 pages
% 0.13/5.63 % E exiting
%------------------------------------------------------------------------------