TSTP Solution File: HEN005-5 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : HEN005-5 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 21:33:54 EDT 2024
% Result : Unsatisfiable 0.25s 0.56s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 21 ( 17 unt; 0 nHn; 14 RR)
% Number of literals : 28 ( 27 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 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 : 21 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(divide_and_equal,axiom,
( X1 = X2
| divide(X1,X2) != zero
| divide(X2,X1) != zero ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',divide_and_equal) ).
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_is_zero,hypothesis,
divide(a,b) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_divide_b_is_zero) ).
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(b_divide_c_is_zero,hypothesis,
divide(b,c) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_divide_c_is_zero) ).
cnf(prove_transitivity_of_divide_to_zero,negated_conjecture,
divide(a,c) != zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_transitivity_of_divide_to_zero) ).
cnf(c_0_7,plain,
( X1 = X2
| divide(X1,X2) != zero
| divide(X2,X1) != zero ),
inference(fof_simplification,[status(thm)],[divide_and_equal]) ).
cnf(c_0_8,axiom,
divide(divide(divide(X1,X2),divide(X3,X2)),divide(divide(X1,X3),X2)) = zero,
quotient_property ).
cnf(c_0_9,hypothesis,
divide(a,b) = zero,
a_divide_b_is_zero ).
cnf(c_0_10,axiom,
divide(zero,X1) = zero,
zero_is_smallest ).
cnf(c_0_11,plain,
( X1 = X2
| divide(X1,X2) != zero
| divide(X2,X1) != zero ),
c_0_7 ).
cnf(c_0_12,axiom,
divide(divide(X1,X2),X1) = zero,
quotient_smaller_than_numerator ).
cnf(c_0_13,hypothesis,
divide(divide(divide(a,X1),divide(b,X1)),zero) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).
cnf(c_0_14,hypothesis,
divide(b,c) = zero,
b_divide_c_is_zero ).
cnf(c_0_15,plain,
( divide(X1,X2) = X1
| divide(X1,divide(X1,X2)) != zero ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,hypothesis,
divide(divide(divide(a,c),zero),zero) = zero,
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
divide(a,c) != zero,
inference(fof_simplification,[status(thm)],[prove_transitivity_of_divide_to_zero]) ).
cnf(c_0_18,hypothesis,
divide(divide(a,c),zero) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_16])]) ).
cnf(c_0_19,negated_conjecture,
divide(a,c) != zero,
c_0_17 ).
cnf(c_0_20,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_18]),c_0_18])]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : HEN005-5 : TPTP v8.2.0. Released v1.0.0.
% 0.08/0.16 % Command : run_E %s %d THM
% 0.17/0.38 % Computer : n011.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Sun May 19 22:49:53 EDT 2024
% 0.17/0.38 % CPUTime :
% 0.25/0.54 Running first-order model finding
% 0.25/0.54 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.25/0.56 # Version: 3.1.0
% 0.25/0.56 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.25/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.56 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.25/0.56 # Starting new_bool_3 with 300s (1) cores
% 0.25/0.56 # Starting new_bool_1 with 300s (1) cores
% 0.25/0.56 # Starting sh5l with 300s (1) cores
% 0.25/0.56 # new_bool_1 with pid 17421 completed with status 0
% 0.25/0.56 # Result found by new_bool_1
% 0.25/0.56 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.25/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.56 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.25/0.56 # Starting new_bool_3 with 300s (1) cores
% 0.25/0.56 # Starting new_bool_1 with 300s (1) cores
% 0.25/0.56 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.25/0.56 # Search class: FHUPS-FFSF22-MFFFFFNN
% 0.25/0.56 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.25/0.56 # Starting H----_102_C18_F1_PI_AE_Q4_CS_SP_PS_S5PRR_S2S with 178s (1) cores
% 0.25/0.56 # H----_102_C18_F1_PI_AE_Q4_CS_SP_PS_S5PRR_S2S with pid 17427 completed with status 0
% 0.25/0.56 # Result found by H----_102_C18_F1_PI_AE_Q4_CS_SP_PS_S5PRR_S2S
% 0.25/0.56 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.25/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.56 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.25/0.56 # Starting new_bool_3 with 300s (1) cores
% 0.25/0.56 # Starting new_bool_1 with 300s (1) cores
% 0.25/0.56 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.25/0.56 # Search class: FHUPS-FFSF22-MFFFFFNN
% 0.25/0.56 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.25/0.56 # Starting H----_102_C18_F1_PI_AE_Q4_CS_SP_PS_S5PRR_S2S with 178s (1) cores
% 0.25/0.56 # Preprocessing time : 0.001 s
% 0.25/0.56 # Presaturation interreduction done
% 0.25/0.56
% 0.25/0.56 # Proof found!
% 0.25/0.56 # SZS status Unsatisfiable
% 0.25/0.56 # SZS output start CNFRefutation
% See solution above
% 0.25/0.56 # Parsed axioms : 8
% 0.25/0.56 # Removed by relevancy pruning/SinE : 1
% 0.25/0.56 # Initial clauses : 7
% 0.25/0.56 # Removed in clause preprocessing : 0
% 0.25/0.56 # Initial clauses in saturation : 7
% 0.25/0.56 # Processed clauses : 30
% 0.25/0.56 # ...of these trivial : 0
% 0.25/0.56 # ...subsumed : 4
% 0.25/0.56 # ...remaining for further processing : 26
% 0.25/0.56 # Other redundant clauses eliminated : 0
% 0.25/0.56 # Clauses deleted for lack of memory : 0
% 0.25/0.56 # Backward-subsumed : 0
% 0.25/0.56 # Backward-rewritten : 4
% 0.25/0.56 # Generated clauses : 123
% 0.25/0.56 # ...of the previous two non-redundant : 69
% 0.25/0.56 # ...aggressively subsumed : 0
% 0.25/0.56 # Contextual simplify-reflections : 0
% 0.25/0.56 # Paramodulations : 123
% 0.25/0.56 # Factorizations : 0
% 0.25/0.56 # NegExts : 0
% 0.25/0.56 # Equation resolutions : 0
% 0.25/0.56 # Disequality decompositions : 0
% 0.25/0.56 # Total rewrite steps : 125
% 0.25/0.56 # ...of those cached : 70
% 0.25/0.56 # Propositional unsat checks : 0
% 0.25/0.56 # Propositional check models : 0
% 0.25/0.56 # Propositional check unsatisfiable : 0
% 0.25/0.56 # Propositional clauses : 0
% 0.25/0.56 # Propositional clauses after purity: 0
% 0.25/0.56 # Propositional unsat core size : 0
% 0.25/0.56 # Propositional preprocessing time : 0.000
% 0.25/0.56 # Propositional encoding time : 0.000
% 0.25/0.56 # Propositional solver time : 0.000
% 0.25/0.56 # Success case prop preproc time : 0.000
% 0.25/0.56 # Success case prop encoding time : 0.000
% 0.25/0.56 # Success case prop solver time : 0.000
% 0.25/0.56 # Current number of processed clauses : 15
% 0.25/0.56 # Positive orientable unit clauses : 9
% 0.25/0.56 # Positive unorientable unit clauses: 0
% 0.25/0.56 # Negative unit clauses : 1
% 0.25/0.56 # Non-unit-clauses : 5
% 0.25/0.56 # Current number of unprocessed clauses: 43
% 0.25/0.56 # ...number of literals in the above : 49
% 0.25/0.56 # Current number of archived formulas : 0
% 0.25/0.56 # Current number of archived clauses : 11
% 0.25/0.56 # Clause-clause subsumption calls (NU) : 5
% 0.25/0.56 # Rec. Clause-clause subsumption calls : 5
% 0.25/0.56 # Non-unit clause-clause subsumptions : 4
% 0.25/0.56 # Unit Clause-clause subsumption calls : 0
% 0.25/0.56 # Rewrite failures with RHS unbound : 0
% 0.25/0.56 # BW rewrite match attempts : 21
% 0.25/0.56 # BW rewrite match successes : 4
% 0.25/0.56 # Condensation attempts : 0
% 0.25/0.56 # Condensation successes : 0
% 0.25/0.56 # Termbank termtop insertions : 1387
% 0.25/0.56 # Search garbage collected termcells : 11
% 0.25/0.56
% 0.25/0.56 # -------------------------------------------------
% 0.25/0.56 # User time : 0.004 s
% 0.25/0.56 # System time : 0.002 s
% 0.25/0.56 # Total time : 0.005 s
% 0.25/0.56 # Maximum resident set size: 1632 pages
% 0.25/0.56
% 0.25/0.56 # -------------------------------------------------
% 0.25/0.56 # User time : 0.004 s
% 0.25/0.56 # System time : 0.006 s
% 0.25/0.56 # Total time : 0.010 s
% 0.25/0.56 # Maximum resident set size: 1696 pages
% 0.25/0.56 % E---3.1 exiting
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