%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : HEN002-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/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 12:45:42 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.54s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 10 ( 7 unt; 0 nHn; 7 RR)
% Number of literals : 13 ( 0 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 9 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quotient_less_equal,axiom,
( ~ less_equal(X1,X2)
| quotient(X1,X2,zero) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',quotient_less_equal) ).
cnf(prove_zero_divide_anything_is_zero,negated_conjecture,
~ quotient(zero,x,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_zero_divide_anything_is_zero) ).
cnf(zero_is_smallest,axiom,
less_equal(zero,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',zero_is_smallest) ).
cnf(c_0_3,plain,
( ~ less_equal(X1,X2)
| quotient(X1,X2,zero) ),
inference(fof_simplification,[status(thm)],[quotient_less_equal]) ).
cnf(c_0_4,negated_conjecture,
~ quotient(zero,x,zero),
inference(fof_simplification,[status(thm)],[prove_zero_divide_anything_is_zero]) ).
cnf(c_0_5,plain,
( ~ less_equal(X1,X2)
| quotient(X1,X2,zero) ),
c_0_3 ).
cnf(c_0_6,axiom,
less_equal(zero,X1),
zero_is_smallest ).
cnf(c_0_7,negated_conjecture,
~ quotient(zero,x,zero),
c_0_4 ).
cnf(c_0_8,plain,
quotient(zero,X1,zero),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : HEN002-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.45 % Computer : n015.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Sun Sep 20 20:48:21 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.52 Running first-order theorem proving
% 0.22/0.52 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
% 0.22/0.54 % Version: 3.5.1
% 0.22/0.54 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.54 % Starting new_bool_3 with 300s (1) cores
% 0.22/0.54 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.54 % Starting sh5l with 300s (1) cores
% 0.22/0.54 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3907917 completed with status 0
% 0.22/0.54 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.22/0.54 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.54 % No SInE strategy applied
% 0.22/0.54 % Search class: FHUSM-FFSF22-SFFFFFNN
% 0.22/0.54 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.54 % Starting SubtermCWHack with 136s (1) cores
% 0.22/0.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.22/0.54 % Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S2S with 136s (1) cores
% 0.22/0.54 % Starting new_bool_3 with 136s (1) cores
% 0.22/0.54 % Starting new_bool_1 with 136s (1) cores
% 0.22/0.54 % SubtermCWHack with pid 3907922 completed with status 0
% 0.22/0.54 % Result found by SubtermCWHack
% 0.22/0.54 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.54 % No SInE strategy applied
% 0.22/0.54 % Search class: FHUSM-FFSF22-SFFFFFNN
% 0.22/0.54 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.54 % Starting SubtermCWHack with 136s (1) cores
% 0.22/0.54 % Preprocessing time : 0.002 s
% 0.22/0.54
% 0.22/0.54 % Proof found!
% 0.22/0.54 % SZS status Unsatisfiable
% 0.22/0.54 % SZS output start CNFRefutation
% See solution above
% 0.22/0.54 % Parsed axioms : 11
% 0.22/0.54 % Removed by relevancy pruning/SinE : 0
% 0.22/0.54 % Initial clauses : 11
% 0.22/0.54 % Removed in clause preprocessing : 0
% 0.22/0.54 % Initial clauses in saturation : 11
% 0.22/0.54 % Processed clauses : 7
% 0.22/0.54 % ...of these trivial : 0
% 0.22/0.54 % ...subsumed : 0
% 0.22/0.54 % ...remaining for further processing : 7
% 0.22/0.54 % Other redundant clauses eliminated : 0
% 0.22/0.54 % Clauses deleted for lack of memory : 0
% 0.22/0.54 % Backward-subsumed : 0
% 0.22/0.54 % Backward-rewritten : 1
% 0.22/0.54 % Generated clauses : 2
% 0.22/0.54 % ...of the previous two non-redundant : 1
% 0.22/0.54 % ...aggressively subsumed : 0
% 0.22/0.54 % Contextual simplify-reflections : 0
% 0.22/0.54 % Paramodulations : 2
% 0.22/0.54 % Factorizations : 0
% 0.22/0.54 % NegExts : 0
% 0.22/0.54 % Equation resolutions : 0
% 0.22/0.54 % Disequality decompositions : 0
% 0.22/0.54 % Total rewrite steps : 2
% 0.22/0.54 % ...of those cached : 0
% 0.22/0.54 % Propositional unsat checks : 0
% 0.22/0.54 % Propositional check models : 0
% 0.22/0.54 % Propositional check unsatisfiable : 0
% 0.22/0.54 % Propositional clauses : 0
% 0.22/0.54 % Propositional clauses after purity: 0
% 0.22/0.54 % Propositional unsat core size : 0
% 0.22/0.54 % Propositional preprocessing time : 0.000
% 0.22/0.54 % Propositional encoding time : 0.000
% 0.22/0.54 % Propositional solver time : 0.000
% 0.22/0.54 % Success case prop preproc time : 0.000
% 0.22/0.54 % Success case prop encoding time : 0.000
% 0.22/0.54 % Success case prop solver time : 0.000
% 0.22/0.54 % Current number of processed clauses : 6
% 0.22/0.54 % Positive orientable unit clauses : 5
% 0.22/0.54 % Positive unorientable unit clauses: 0
% 0.22/0.54 % Negative unit clauses : 0
% 0.22/0.54 % Non-unit-clauses : 1
% 0.22/0.54 % Current number of unprocessed clauses: 5
% 0.22/0.54 % ...number of literals in the above : 16
% 0.22/0.54 % Current number of archived formulas : 0
% 0.22/0.54 % Current number of archived clauses : 1
% 0.22/0.54 % Clause-clause subsumption calls (NU) : 0
% 0.22/0.54 % Rec. Clause-clause subsumption calls : 0
% 0.22/0.54 % Non-unit clause-clause subsumptions : 0
% 0.22/0.54 % Unit Clause-clause subsumption calls : 0
% 0.22/0.54 % Rewrite failures with RHS unbound : 0
% 0.22/0.54 % BW rewrite match attempts : 3
% 0.22/0.54 % BW rewrite match successes : 1
% 0.22/0.54 % Condensation attempts : 0
% 0.22/0.54 % Condensation successes : 0
% 0.22/0.54 % Termbank termtop insertions : 272
% 0.22/0.54 % Search garbage collected termcells : 30
% 0.22/0.54
% 0.22/0.54 % -------------------------------------------------
% 0.22/0.54 % User time : 0.002 s
% 0.22/0.54 % System time : 0.005 s
% 0.22/0.54 % Total time : 0.007 s
% 0.22/0.54 % Maximum resident set size: 3640 pages
% 0.22/0.54
% 0.22/0.54 % -------------------------------------------------
% 0.22/0.54 % User time : 0.003 s
% 0.22/0.54 % System time : 0.015 s
% 0.22/0.54 % Total time : 0.017 s
% 0.22/0.54 % Maximum resident set size: 4864 pages
% 0.22/0.54 % E exiting
%------------------------------------------------------------------------------