%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : HWV020-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 12:48:47 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.34s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 28 ( 16 unt; 6 nHn; 24 RR)
% Number of literals : 55 ( 14 equ; 23 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_47,axiom,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_47) ).
cnf(axiom_9,axiom,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X1) = n0 ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_9) ).
cnf(quest_5,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_5) ).
cnf(axiom_8,axiom,
( fwork_DOTfifo_DOTrtl_DOTint__level_(X1) != n0
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_8) ).
cnf(quest_2,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
cnf(axiom_51,axiom,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_51) ).
cnf(quest_4,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
cnf(quest_3,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
cnf(axiom_75,axiom,
p_LES_EQU_(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_75) ).
cnf(c_0_9,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1) ),
inference(fof_simplification,[status(thm)],[axiom_47]) ).
cnf(c_0_10,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X1) = n0 ),
inference(fof_simplification,[status(thm)],[axiom_9]) ).
cnf(c_0_11,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
inference(fof_simplification,[status(thm)],[quest_5]) ).
cnf(c_0_12,plain,
( fwork_DOTfifo_DOTrtl_DOTint__level_(X1) != n0
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1)) ),
inference(fof_simplification,[status(thm)],[axiom_8]) ).
cnf(c_0_13,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(fof_simplification,[status(thm)],[quest_2]) ).
cnf(c_0_14,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1) ),
c_0_9 ).
cnf(c_0_15,axiom,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1) ),
axiom_51 ).
cnf(c_0_16,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X1) = n0 ),
c_0_10 ).
cnf(c_0_17,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
quest_4 ).
cnf(c_0_18,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
c_0_11 ).
cnf(c_0_19,plain,
( fwork_DOTfifo_DOTrtl_DOTint__level_(X1) != n0
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1)) ),
c_0_12 ).
cnf(c_0_20,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(fof_simplification,[status(thm)],[quest_3]) ).
cnf(c_0_21,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
c_0_13 ).
cnf(c_0_22,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1) ),
inference(csr,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_23,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n0,
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_24,axiom,
p_LES_EQU_(X1,X1),
axiom_75 ).
cnf(c_0_25,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) != n0,
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_26,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
c_0_20 ).
cnf(c_0_27,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_23]),c_0_24])]),c_0_25]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : HWV020-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sun Sep 20 20:48:08 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 0.07/0.34 % Version: 3.5.1
% 0.07/0.34 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.07/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.34 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.07/0.34 % Starting new_bool_3 with 300s (1) cores
% 0.07/0.34 % Starting new_bool_1 with 300s (1) cores
% 0.07/0.34 % Starting sh5l with 300s (1) cores
% 0.07/0.34 % new_bool_3 with pid 836852 completed with status 0
% 0.07/0.34 % Result found by new_bool_3
% 0.07/0.34 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.07/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.34 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.07/0.34 % Starting new_bool_3 with 300s (1) cores
% 0.07/0.34 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.07/0.34 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.07/0.34 % Search class: FGUSS-FFMS21-SFFFFFNN
% 0.07/0.34 % partial match(1): FGHSS-FFMS21-SFFFFFNN
% 0.07/0.34 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.07/0.34 % Starting SubtermCWHack with 31s (1) cores
% 0.07/0.34 % SubtermCWHack with pid 836855 completed with status 0
% 0.07/0.34 % Result found by SubtermCWHack
% 0.07/0.34 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.07/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.34 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.07/0.34 % Starting new_bool_3 with 300s (1) cores
% 0.07/0.34 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.07/0.34 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.07/0.34 % Search class: FGUSS-FFMS21-SFFFFFNN
% 0.07/0.34 % partial match(1): FGHSS-FFMS21-SFFFFFNN
% 0.07/0.34 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.07/0.34 % Starting SubtermCWHack with 31s (1) cores
% 0.07/0.34 % Preprocessing time : 0.001 s
% 0.07/0.34
% 0.07/0.34 % Proof found!
% 0.07/0.34 % SZS status Unsatisfiable
% 0.07/0.34 % SZS output start CNFRefutation
% See solution above
% 0.07/0.34 % Parsed axioms : 138
% 0.07/0.34 % Removed by relevancy pruning/SinE : 110
% 0.07/0.34 % Initial clauses : 28
% 0.07/0.34 % Removed in clause preprocessing : 0
% 0.07/0.34 % Initial clauses in saturation : 28
% 0.07/0.34 % Processed clauses : 99
% 0.07/0.34 % ...of these trivial : 1
% 0.07/0.34 % ...subsumed : 40
% 0.07/0.34 % ...remaining for further processing : 58
% 0.07/0.34 % Other redundant clauses eliminated : 0
% 0.07/0.34 % Clauses deleted for lack of memory : 0
% 0.07/0.34 % Backward-subsumed : 5
% 0.07/0.34 % Backward-rewritten : 5
% 0.07/0.34 % Generated clauses : 216
% 0.07/0.34 % ...of the previous two non-redundant : 162
% 0.07/0.34 % ...aggressively subsumed : 0
% 0.07/0.34 % Contextual simplify-reflections : 2
% 0.07/0.34 % Paramodulations : 199
% 0.07/0.34 % Factorizations : 16
% 0.07/0.34 % NegExts : 0
% 0.07/0.34 % Equation resolutions : 1
% 0.07/0.34 % Disequality decompositions : 0
% 0.07/0.34 % Total rewrite steps : 65
% 0.07/0.34 % ...of those cached : 43
% 0.07/0.34 % Propositional unsat checks : 0
% 0.07/0.34 % Propositional check models : 0
% 0.07/0.34 % Propositional check unsatisfiable : 0
% 0.07/0.34 % Propositional clauses : 0
% 0.07/0.34 % Propositional clauses after purity: 0
% 0.07/0.34 % Propositional unsat core size : 0
% 0.07/0.34 % Propositional preprocessing time : 0.000
% 0.07/0.35 % Propositional encoding time : 0.000
% 0.07/0.35 % Propositional solver time : 0.000
% 0.07/0.35 % Success case prop preproc time : 0.000
% 0.07/0.35 % Success case prop encoding time : 0.000
% 0.07/0.35 % Success case prop solver time : 0.000
% 0.07/0.35 % Current number of processed clauses : 48
% 0.07/0.35 % Positive orientable unit clauses : 8
% 0.07/0.35 % Positive unorientable unit clauses: 0
% 0.07/0.35 % Negative unit clauses : 8
% 0.07/0.35 % Non-unit-clauses : 32
% 0.07/0.35 % Current number of unprocessed clauses: 90
% 0.07/0.35 % ...number of literals in the above : 305
% 0.07/0.35 % Current number of archived formulas : 0
% 0.07/0.35 % Current number of archived clauses : 10
% 0.07/0.35 % Clause-clause subsumption calls (NU) : 164
% 0.07/0.35 % Rec. Clause-clause subsumption calls : 136
% 0.07/0.35 % Non-unit clause-clause subsumptions : 35
% 0.07/0.35 % Unit Clause-clause subsumption calls : 12
% 0.07/0.35 % Rewrite failures with RHS unbound : 0
% 0.07/0.35 % BW rewrite match attempts : 5
% 0.07/0.35 % BW rewrite match successes : 5
% 0.07/0.35 % Condensation attempts : 0
% 0.07/0.35 % Condensation successes : 0
% 0.07/0.35 % Termbank termtop insertions : 4243
% 0.07/0.35 % Search garbage collected termcells : 525
% 0.07/0.35
% 0.07/0.35 % -------------------------------------------------
% 0.07/0.35 % User time : 0.005 s
% 0.07/0.35 % System time : 0.001 s
% 0.07/0.35 % Total time : 0.006 s
% 0.07/0.35 % Maximum resident set size: 3744 pages
% 0.07/0.35
% 0.07/0.35 % -------------------------------------------------
% 0.07/0.35 % User time : 0.009 s
% 0.07/0.35 % System time : 0.001 s
% 0.07/0.35 % Total time : 0.010 s
% 0.07/0.35 % Maximum resident set size: 4864 pages
% 0.07/0.35 % E exiting
%------------------------------------------------------------------------------