%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : HEN010-5 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:45:40 PM UTC 2026
% Result : Unsatisfiable 0.65s 0.62s
% Output : CNFRefutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of clauses : 42 ( 26 unt; 0 nHn; 18 RR)
% Number of literals : 64 ( 63 equ; 26 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 77 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(divide_and_equal,axiom,
( divide(X2,X1) != zero
| divide(X1,X2) != zero
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',divide_and_equal) ).
cnf(property_of_divide1,axiom,
( divide(divide(X1,X2),X3) != zero
| divide(divide(X1,X3),X2) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_divide1) ).
cnf(zero_is_smallest,axiom,
divide(zero,X1) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',zero_is_smallest) ).
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(property_of_divide3,axiom,
( divide(X1,X2) != zero
| divide(divide(X1,X3),divide(X2,X3)) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_divide3) ).
cnf(transitivity_of_divide_to_zero,axiom,
( divide(X2,X3) != zero
| divide(X1,X2) != zero
| divide(X1,X3) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_divide_to_zero) ).
cnf(identity_is_largest,axiom,
divide(X1,identity) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',identity_is_largest) ).
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(prove_this,negated_conjecture,
divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(c_0_9,plain,
( divide(X2,X1) != zero
| divide(X1,X2) != zero
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[divide_and_equal]) ).
cnf(c_0_10,plain,
( divide(divide(X1,X2),X3) != zero
| divide(divide(X1,X3),X2) = zero ),
inference(fof_simplification,[status(thm)],[property_of_divide1]) ).
cnf(c_0_11,plain,
( divide(X2,X1) != zero
| divide(X1,X2) != zero
| X1 = X2 ),
c_0_9 ).
cnf(c_0_12,axiom,
divide(zero,X1) = zero,
zero_is_smallest ).
cnf(c_0_13,plain,
( divide(divide(X1,X2),X3) != zero
| divide(divide(X1,X3),X2) = zero ),
c_0_10 ).
cnf(c_0_14,axiom,
divide(divide(X1,X2),X1) = zero,
quotient_smaller_than_numerator ).
cnf(c_0_15,plain,
( divide(X1,zero) != zero
| X1 = zero ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
divide(divide(X1,X1),X2) = zero,
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,plain,
divide(X1,X1) = zero,
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,plain,
( divide(X1,X2) != zero
| divide(divide(X1,X3),divide(X2,X3)) = zero ),
inference(fof_simplification,[status(thm)],[property_of_divide3]) ).
cnf(c_0_19,plain,
divide(divide(X1,divide(X1,X2)),X2) = zero,
inference(spm,[status(thm)],[c_0_13,c_0_17]) ).
cnf(c_0_20,plain,
( divide(X2,X3) != zero
| divide(X1,X2) != zero
| divide(X1,X3) = zero ),
inference(fof_simplification,[status(thm)],[transitivity_of_divide_to_zero]) ).
cnf(c_0_21,plain,
( divide(X1,X2) != zero
| divide(divide(X1,X3),divide(X2,X3)) = zero ),
c_0_18 ).
cnf(c_0_22,axiom,
divide(X1,identity) = zero,
identity_is_largest ).
cnf(c_0_23,plain,
divide(X1,divide(X1,zero)) = zero,
inference(spm,[status(thm)],[c_0_15,c_0_19]) ).
cnf(c_0_24,plain,
( divide(X2,X3) != zero
| divide(X1,X2) != zero
| divide(X1,X3) = zero ),
c_0_20 ).
cnf(c_0_25,plain,
divide(divide(X1,X2),divide(identity,X2)) = zero,
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,axiom,
divide(divide(divide(X1,X2),divide(X3,X2)),divide(divide(X1,X3),X2)) = zero,
quotient_property ).
cnf(c_0_27,plain,
divide(X1,zero) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_23]),c_0_14])]) ).
cnf(c_0_28,plain,
( divide(X1,divide(X2,X3)) != zero
| divide(X1,X2) = zero ),
inference(spm,[status(thm)],[c_0_24,c_0_14]) ).
cnf(c_0_29,plain,
divide(divide(X1,divide(identity,X2)),X2) = zero,
inference(spm,[status(thm)],[c_0_13,c_0_25]) ).
cnf(c_0_30,plain,
( divide(divide(identity,X1),divide(X2,X1)) != zero
| divide(identity,X1) = divide(X2,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_25]) ).
cnf(c_0_31,plain,
divide(divide(X1,divide(X1,X2)),divide(X2,divide(X1,X2))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_17]),c_0_27]) ).
cnf(c_0_32,plain,
divide(divide(X1,divide(identity,divide(X2,X3))),X2) = zero,
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
inference(fof_simplification,[status(thm)],[prove_this]) ).
cnf(c_0_34,plain,
( divide(X2,divide(X1,divide(X1,X2))) != zero
| divide(X1,divide(X1,X2)) = X2 ),
inference(spm,[status(thm)],[c_0_11,c_0_19]) ).
cnf(c_0_35,plain,
divide(identity,divide(identity,X1)) = divide(X1,divide(identity,X1)),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,plain,
divide(divide(X1,X2),divide(identity,divide(X2,X3))) = zero,
inference(spm,[status(thm)],[c_0_13,c_0_32]) ).
cnf(c_0_37,negated_conjecture,
divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
c_0_33 ).
cnf(c_0_38,plain,
divide(identity,divide(X1,divide(identity,X1))) = divide(identity,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).
cnf(c_0_39,negated_conjecture,
divide(identity,divide(identity,divide(identity,a))) != divide(identity,a),
inference(rw,[status(thm)],[c_0_37,c_0_35]) ).
cnf(c_0_40,plain,
divide(identity,divide(identity,divide(identity,X1))) = divide(identity,X1),
inference(spm,[status(thm)],[c_0_38,c_0_35]) ).
cnf(c_0_41,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN010-5 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 20:51:08 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.42 Running first-order theorem proving
% 0.03/0.42 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
% 0.65/0.62 % Version: 3.5.1
% 0.65/0.62 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.65/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.65/0.62 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.65/0.62 % Starting new_bool_3 with 300s (1) cores
% 0.65/0.62 % Starting new_bool_1 with 300s (1) cores
% 0.65/0.62 % Starting sh5l with 300s (1) cores
% 0.65/0.62 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 782538 completed with status 0
% 0.65/0.62 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.65/0.62 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.65/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.65/0.62 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.65/0.62 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.65/0.62 % No SInE strategy applied
% 0.65/0.62 % Search class: FHUPM-FFSF22-MFFFFFNN
% 0.65/0.62 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.65/0.62 % Starting SubtermCWHack with 136s (1) cores
% 0.65/0.62 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.65/0.62 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.65/0.62 % Starting U----_210g_05_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.65/0.62 % Starting new_bool_3 with 136s (1) cores
% 0.65/0.62 % new_bool_3 with pid 782549 completed with status 0
% 0.65/0.62 % Result found by new_bool_3
% 0.65/0.62 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.65/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.65/0.62 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.65/0.62 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.65/0.62 % No SInE strategy applied
% 0.65/0.62 % Search class: FHUPM-FFSF22-MFFFFFNN
% 0.65/0.62 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.65/0.62 % Starting SubtermCWHack with 136s (1) cores
% 0.65/0.62 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.65/0.62 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.65/0.62 % Starting U----_210g_05_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.65/0.62 % Starting new_bool_3 with 136s (1) cores
% 0.65/0.62 % Preprocessing time : 0.002 s
% 0.65/0.62 % Presaturation interreduction done
% 0.65/0.62
% 0.65/0.62 % Proof found!
% 0.65/0.62 % SZS status Unsatisfiable
% 0.65/0.62 % SZS output start CNFRefutation
% See solution above
% 0.65/0.62 % Parsed axioms : 9
% 0.65/0.62 % Removed by relevancy pruning/SinE : 0
% 0.65/0.62 % Initial clauses : 9
% 0.65/0.62 % Removed in clause preprocessing : 0
% 0.65/0.62 % Initial clauses in saturation : 9
% 0.65/0.62 % Processed clauses : 256
% 0.65/0.62 % ...of these trivial : 22
% 0.65/0.62 % ...subsumed : 139
% 0.65/0.62 % ...remaining for further processing : 95
% 0.65/0.62 % Other redundant clauses eliminated : 306
% 0.65/0.62 % Clauses deleted for lack of memory : 0
% 0.65/0.62 % Backward-subsumed : 3
% 0.65/0.62 % Backward-rewritten : 22
% 0.65/0.62 % Generated clauses : 4454
% 0.65/0.62 % ...of the previous two non-redundant : 1655
% 0.65/0.62 % ...aggressively subsumed : 0
% 0.65/0.62 % Contextual simplify-reflections : 0
% 0.65/0.62 % Paramodulations : 4148
% 0.65/0.62 % Factorizations : 0
% 0.65/0.62 % NegExts : 0
% 0.65/0.62 % Equation resolutions : 306
% 0.65/0.62 % Disequality decompositions : 0
% 0.65/0.62 % Total rewrite steps : 7202
% 0.65/0.62 % ...of those cached : 6182
% 0.65/0.62 % Propositional unsat checks : 0
% 0.65/0.62 % Propositional check models : 0
% 0.65/0.62 % Propositional check unsatisfiable : 0
% 0.65/0.62 % Propositional clauses : 0
% 0.65/0.62 % Propositional clauses after purity: 0
% 0.65/0.62 % Propositional unsat core size : 0
% 0.65/0.62 % Propositional preprocessing time : 0.000
% 0.65/0.62 % Propositional encoding time : 0.000
% 0.65/0.62 % Propositional solver time : 0.000
% 0.65/0.62 % Success case prop preproc time : 0.000
% 0.65/0.62 % Success case prop encoding time : 0.000
% 0.65/0.62 % Success case prop solver time : 0.000
% 0.65/0.62 % Current number of processed clauses : 58
% 0.65/0.62 % Positive orientable unit clauses : 26
% 0.65/0.62 % Positive unorientable unit clauses: 1
% 0.65/0.62 % Negative unit clauses : 0
% 0.65/0.62 % Non-unit-clauses : 31
% 0.65/0.62 % Current number of unprocessed clauses: 1385
% 0.65/0.62 % ...number of literals in the above : 1700
% 0.65/0.62 % Current number of archived formulas : 0
% 0.65/0.62 % Current number of archived clauses : 34
% 0.65/0.62 % Clause-clause subsumption calls (NU) : 632
% 0.65/0.62 % Rec. Clause-clause subsumption calls : 632
% 0.65/0.62 % Non-unit clause-clause subsumptions : 142
% 0.65/0.62 % Unit Clause-clause subsumption calls : 33
% 0.65/0.62 % Rewrite failures with RHS unbound : 0
% 0.65/0.62 % BW rewrite match attempts : 191
% 0.65/0.62 % BW rewrite match successes : 23
% 0.65/0.62 % Condensation attempts : 0
% 0.65/0.62 % Condensation successes : 0
% 0.65/0.62 % Termbank termtop insertions : 51440
% 0.65/0.62 % Search garbage collected termcells : 16
% 0.65/0.62
% 0.65/0.62 % -------------------------------------------------
% 0.65/0.62 % User time : 0.073 s
% 0.65/0.62 % System time : 0.007 s
% 0.65/0.62 % Total time : 0.080 s
% 0.65/0.62 % Maximum resident set size: 3328 pages
% 0.65/0.62
% 0.65/0.62 % -------------------------------------------------
% 0.65/0.62 % User time : 0.527 s
% 0.65/0.62 % System time : 0.043 s
% 0.65/0.62 % Total time : 0.570 s
% 0.65/0.62 % Maximum resident set size: 4608 pages
% 0.65/0.62 % E exiting
%------------------------------------------------------------------------------