%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : HEN006-5 : 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 : n010.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 12:45:45 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.43s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 7 RR)
% Number of literals : 16 ( 15 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 15 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quotient_property,axiom,
divide(divide(divide(X1,X2),divide(X3,X2)),divide(divide(X1,X3),X2)) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',quotient_property) ).
cnf(a_divide_b_divide_d_is_zero,hypothesis,
divide(divide(a,b),d) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_divide_b_divide_d_is_zero) ).
cnf(x_divide_zero_is_x,axiom,
divide(X1,zero) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divide_zero_is_x) ).
cnf(zero_is_smallest,axiom,
divide(zero,X1) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',zero_is_smallest) ).
cnf(prove_property_of_divide1,negated_conjecture,
divide(divide(a,d),b) != zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_of_divide1) ).
cnf(quotient_smaller_than_numerator,axiom,
divide(divide(X1,X2),X1) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',quotient_smaller_than_numerator) ).
cnf(c_0_6,axiom,
divide(divide(divide(X1,X2),divide(X3,X2)),divide(divide(X1,X3),X2)) = zero,
quotient_property ).
cnf(c_0_7,hypothesis,
divide(divide(a,b),d) = zero,
a_divide_b_divide_d_is_zero ).
cnf(c_0_8,axiom,
divide(X1,zero) = X1,
x_divide_zero_is_x ).
cnf(c_0_9,hypothesis,
divide(divide(a,d),divide(b,d)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).
cnf(c_0_10,axiom,
divide(zero,X1) = zero,
zero_is_smallest ).
cnf(c_0_11,negated_conjecture,
divide(divide(a,d),b) != zero,
inference(fof_simplification,[status(thm)],[prove_property_of_divide1]) ).
cnf(c_0_12,hypothesis,
divide(divide(divide(a,d),X1),divide(divide(b,d),X1)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_9]),c_0_10]),c_0_8]) ).
cnf(c_0_13,axiom,
divide(divide(X1,X2),X1) = zero,
quotient_smaller_than_numerator ).
cnf(c_0_14,negated_conjecture,
divide(divide(a,d),b) != zero,
c_0_11 ).
cnf(c_0_15,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_8]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HEN006-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/5.36 % Computer : n010.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.36 % CPULimit : 300
% 0.10/5.36 % WCLimit : 300
% 0.10/5.36 % DateTime : Sun Sep 20 20:46:30 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/5.41 Running first-order theorem proving
% 0.14/5.41 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
% 0.14/5.43 % Version: 3.5.1
% 0.14/5.43 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/5.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.43 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/5.43 % Starting new_bool_3 with 300s (1) cores
% 0.14/5.43 % Starting new_bool_1 with 300s (1) cores
% 0.14/5.43 % Starting sh5l with 300s (1) cores
% 0.14/5.43 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 3490025 completed with status 0
% 0.14/5.43 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.14/5.43 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/5.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.43 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/5.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/5.43 % No SInE strategy applied
% 0.14/5.43 % Search class: FHUPM-FFSF22-MFFFFFNN
% 0.14/5.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/5.43 % Starting SubtermCWHack with 136s (1) cores
% 0.14/5.43 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.14/5.43 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.14/5.43 % Starting U----_210g_05_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.14/5.43 % Starting new_bool_3 with 136s (1) cores
% 0.14/5.43 % U----_210g_05_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 3490034 completed with status 0
% 0.14/5.43 % Result found by U----_210g_05_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 0.14/5.43 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/5.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.43 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/5.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/5.43 % No SInE strategy applied
% 0.14/5.43 % Search class: FHUPM-FFSF22-MFFFFFNN
% 0.14/5.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/5.43 % Starting SubtermCWHack with 136s (1) cores
% 0.14/5.43 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.14/5.43 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.14/5.43 % Starting U----_210g_05_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.14/5.43 % Preprocessing time : 0.001 s
% 0.14/5.43 % Presaturation interreduction done
% 0.14/5.43
% 0.14/5.43 % Proof found!
% 0.14/5.43 % SZS status Unsatisfiable
% 0.14/5.43 % SZS output start CNFRefutation
% See solution above
% 0.14/5.43 % Parsed axioms : 8
% 0.14/5.43 % Removed by relevancy pruning/SinE : 0
% 0.14/5.43 % Initial clauses : 8
% 0.14/5.43 % Removed in clause preprocessing : 0
% 0.14/5.43 % Initial clauses in saturation : 8
% 0.14/5.43 % Processed clauses : 37
% 0.14/5.43 % ...of these trivial : 0
% 0.14/5.43 % ...subsumed : 2
% 0.14/5.43 % ...remaining for further processing : 35
% 0.14/5.43 % Other redundant clauses eliminated : 0
% 0.14/5.43 % Clauses deleted for lack of memory : 0
% 0.14/5.43 % Backward-subsumed : 0
% 0.14/5.43 % Backward-rewritten : 1
% 0.14/5.43 % Generated clauses : 285
% 0.14/5.43 % ...of the previous two non-redundant : 68
% 0.14/5.43 % ...aggressively subsumed : 0
% 0.14/5.43 % Contextual simplify-reflections : 0
% 0.14/5.43 % Paramodulations : 285
% 0.14/5.43 % Factorizations : 0
% 0.14/5.43 % NegExts : 0
% 0.14/5.43 % Equation resolutions : 0
% 0.14/5.43 % Disequality decompositions : 0
% 0.14/5.43 % Total rewrite steps : 403
% 0.14/5.43 % ...of those cached : 239
% 0.14/5.43 % Propositional unsat checks : 0
% 0.14/5.43 % Propositional check models : 0
% 0.14/5.43 % Propositional check unsatisfiable : 0
% 0.14/5.43 % Propositional clauses : 0
% 0.14/5.43 % Propositional clauses after purity: 0
% 0.14/5.43 % Propositional unsat core size : 0
% 0.14/5.43 % Propositional preprocessing time : 0.000
% 0.14/5.43 % Propositional encoding time : 0.000
% 0.14/5.43 % Propositional solver time : 0.000
% 0.14/5.43 % Success case prop preproc time : 0.000
% 0.14/5.43 % Success case prop encoding time : 0.000
% 0.14/5.43 % Success case prop solver time : 0.000
% 0.14/5.43 % Current number of processed clauses : 26
% 0.14/5.43 % Positive orientable unit clauses : 18
% 0.14/5.43 % Positive unorientable unit clauses: 0
% 0.14/5.43 % Negative unit clauses : 1
% 0.14/5.43 % Non-unit-clauses : 7
% 0.14/5.43 % Current number of unprocessed clauses: 42
% 0.14/5.43 % ...number of literals in the above : 51
% 0.14/5.43 % Current number of archived formulas : 0
% 0.14/5.43 % Current number of archived clauses : 9
% 0.14/5.43 % Clause-clause subsumption calls (NU) : 13
% 0.14/5.43 % Rec. Clause-clause subsumption calls : 13
% 0.14/5.43 % Non-unit clause-clause subsumptions : 2
% 0.14/5.43 % Unit Clause-clause subsumption calls : 0
% 0.14/5.43 % Rewrite failures with RHS unbound : 0
% 0.14/5.43 % BW rewrite match attempts : 28
% 0.14/5.43 % BW rewrite match successes : 1
% 0.14/5.43 % Condensation attempts : 0
% 0.14/5.43 % Condensation successes : 0
% 0.14/5.43 % Termbank termtop insertions : 3031
% 0.14/5.43 % Search garbage collected termcells : 8
% 0.14/5.43
% 0.14/5.43 % -------------------------------------------------
% 0.14/5.43 % User time : 0.004 s
% 0.14/5.43 % System time : 0.005 s
% 0.14/5.43 % Total time : 0.009 s
% 0.14/5.43 % Maximum resident set size: 3636 pages
% 0.14/5.43
% 0.14/5.43 % -------------------------------------------------
% 0.14/5.43 % User time : 0.027 s
% 0.14/5.43 % System time : 0.016 s
% 0.14/5.43 % Total time : 0.044 s
% 0.14/5.43 % Maximum resident set size: 4608 pages
% 0.14/5.43 % E exiting
%------------------------------------------------------------------------------