TSTP Solution File: HEN006-6 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : HEN006-6 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n009.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:50:59 EDT 2023
% Result : Unsatisfiable 0.19s 0.49s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of clauses : 35 ( 29 unt; 0 nHn; 15 RR)
% Number of literals : 43 ( 19 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 44 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quotient_property,axiom,
less_equal(divide(divide(X1,X2),divide(X3,X2)),divide(divide(X1,X3),X2)),
file('/export/starexec/sandbox/tmp/tmp.OPe3igiU6G/E---3.1_29809.p',quotient_property) ).
cnf(zero_divide_anything_is_zero,axiom,
divide(zero,X1) = zero,
file('/export/starexec/sandbox/tmp/tmp.OPe3igiU6G/E---3.1_29809.p',zero_divide_anything_is_zero) ).
cnf(x_divide_x_is_zero,axiom,
divide(X1,X1) = zero,
file('/export/starexec/sandbox/tmp/tmp.OPe3igiU6G/E---3.1_29809.p',x_divide_x_is_zero) ).
cnf(less_equal_and_equal,axiom,
( X1 = X2
| ~ less_equal(X1,X2)
| ~ less_equal(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.OPe3igiU6G/E---3.1_29809.p',less_equal_and_equal) ).
cnf(zero_is_smallest,axiom,
less_equal(zero,X1),
file('/export/starexec/sandbox/tmp/tmp.OPe3igiU6G/E---3.1_29809.p',zero_is_smallest) ).
cnf(quotient_less_equal2,axiom,
( less_equal(X1,X2)
| divide(X1,X2) != zero ),
file('/export/starexec/sandbox/tmp/tmp.OPe3igiU6G/E---3.1_29809.p',quotient_less_equal2) ).
cnf(quotient_less_equal1,axiom,
( divide(X1,X2) = zero
| ~ less_equal(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.OPe3igiU6G/E---3.1_29809.p',quotient_less_equal1) ).
cnf(a_divide_b_LE_d,hypothesis,
less_equal(divide(a,b),d),
file('/export/starexec/sandbox/tmp/tmp.OPe3igiU6G/E---3.1_29809.p',a_divide_b_LE_d) ).
cnf(quotient_smaller_than_numerator,axiom,
less_equal(divide(X1,X2),X1),
file('/export/starexec/sandbox/tmp/tmp.OPe3igiU6G/E---3.1_29809.p',quotient_smaller_than_numerator) ).
cnf(prove_a_divide_d_LE_b,negated_conjecture,
~ less_equal(divide(a,d),b),
file('/export/starexec/sandbox/tmp/tmp.OPe3igiU6G/E---3.1_29809.p',prove_a_divide_d_LE_b) ).
cnf(c_0_10,axiom,
less_equal(divide(divide(X1,X2),divide(X3,X2)),divide(divide(X1,X3),X2)),
quotient_property ).
cnf(c_0_11,axiom,
divide(zero,X1) = zero,
zero_divide_anything_is_zero ).
cnf(c_0_12,plain,
less_equal(divide(divide(X1,X2),zero),divide(divide(X1,zero),X2)),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,axiom,
divide(X1,X1) = zero,
x_divide_x_is_zero ).
cnf(c_0_14,axiom,
( X1 = X2
| ~ less_equal(X1,X2)
| ~ less_equal(X2,X1) ),
less_equal_and_equal ).
cnf(c_0_15,plain,
less_equal(divide(divide(X1,divide(X1,zero)),zero),zero),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,axiom,
less_equal(zero,X1),
zero_is_smallest ).
cnf(c_0_17,axiom,
( less_equal(X1,X2)
| divide(X1,X2) != zero ),
quotient_less_equal2 ).
cnf(c_0_18,plain,
divide(divide(X1,divide(X1,zero)),zero) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
cnf(c_0_19,plain,
less_equal(divide(X1,divide(X1,zero)),zero),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,plain,
divide(X1,divide(X1,zero)) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_19]),c_0_16])]) ).
cnf(c_0_21,axiom,
( divide(X1,X2) = zero
| ~ less_equal(X1,X2) ),
quotient_less_equal1 ).
cnf(c_0_22,hypothesis,
less_equal(divide(a,b),d),
a_divide_b_LE_d ).
cnf(c_0_23,axiom,
less_equal(divide(X1,X2),X1),
quotient_smaller_than_numerator ).
cnf(c_0_24,plain,
less_equal(X1,divide(X1,zero)),
inference(spm,[status(thm)],[c_0_17,c_0_20]) ).
cnf(c_0_25,hypothesis,
divide(divide(a,b),d) = zero,
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,plain,
divide(divide(divide(X1,X2),divide(X3,X2)),divide(divide(X1,X3),X2)) = zero,
inference(spm,[status(thm)],[c_0_21,c_0_10]) ).
cnf(c_0_27,plain,
divide(divide(X1,X2),X1) = zero,
inference(spm,[status(thm)],[c_0_21,c_0_23]) ).
cnf(c_0_28,plain,
divide(X1,zero) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_24]),c_0_23])]) ).
cnf(c_0_29,hypothesis,
less_equal(divide(divide(a,d),divide(b,d)),zero),
inference(spm,[status(thm)],[c_0_10,c_0_25]) ).
cnf(c_0_30,plain,
divide(divide(X1,X2),divide(divide(X1,divide(X2,X3)),X2)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_31,hypothesis,
divide(divide(a,d),divide(b,d)) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_29]),c_0_16])]) ).
cnf(c_0_32,hypothesis,
divide(divide(a,d),b) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_11]),c_0_28]) ).
cnf(c_0_33,negated_conjecture,
~ less_equal(divide(a,d),b),
prove_a_divide_d_LE_b ).
cnf(c_0_34,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_32]),c_0_33]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : HEN006-6 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 2400
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Oct 2 11:14:59 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order model finding
% 0.19/0.47 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.OPe3igiU6G/E---3.1_29809.p
% 0.19/0.49 # Version: 3.1pre001
% 0.19/0.49 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49 # Starting sh5l with 300s (1) cores
% 0.19/0.49 # new_bool_3 with pid 29912 completed with status 0
% 0.19/0.49 # Result found by new_bool_3
% 0.19/0.49 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.49 # Search class: FHUSM-FFSF22-SFFFFFNN
% 0.19/0.49 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49 # Starting G----_Y1346__C12_02_nc_F1_AE_CS_SP_S2S with 181s (1) cores
% 0.19/0.49 # G----_Y1346__C12_02_nc_F1_AE_CS_SP_S2S with pid 29920 completed with status 0
% 0.19/0.49 # Result found by G----_Y1346__C12_02_nc_F1_AE_CS_SP_S2S
% 0.19/0.49 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.49 # Search class: FHUSM-FFSF22-SFFFFFNN
% 0.19/0.49 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49 # Starting G----_Y1346__C12_02_nc_F1_AE_CS_SP_S2S with 181s (1) cores
% 0.19/0.49 # Preprocessing time : 0.001 s
% 0.19/0.49 # Presaturation interreduction done
% 0.19/0.49
% 0.19/0.49 # Proof found!
% 0.19/0.49 # SZS status Unsatisfiable
% 0.19/0.49 # SZS output start CNFRefutation
% See solution above
% 0.19/0.49 # Parsed axioms : 12
% 0.19/0.49 # Removed by relevancy pruning/SinE : 2
% 0.19/0.49 # Initial clauses : 10
% 0.19/0.49 # Removed in clause preprocessing : 0
% 0.19/0.49 # Initial clauses in saturation : 10
% 0.19/0.49 # Processed clauses : 79
% 0.19/0.49 # ...of these trivial : 2
% 0.19/0.49 # ...subsumed : 8
% 0.19/0.49 # ...remaining for further processing : 69
% 0.19/0.49 # Other redundant clauses eliminated : 0
% 0.19/0.49 # Clauses deleted for lack of memory : 0
% 0.19/0.49 # Backward-subsumed : 0
% 0.19/0.49 # Backward-rewritten : 12
% 0.19/0.49 # Generated clauses : 1231
% 0.19/0.49 # ...of the previous two non-redundant : 295
% 0.19/0.49 # ...aggressively subsumed : 0
% 0.19/0.49 # Contextual simplify-reflections : 0
% 0.19/0.49 # Paramodulations : 1230
% 0.19/0.49 # Factorizations : 0
% 0.19/0.49 # NegExts : 0
% 0.19/0.49 # Equation resolutions : 1
% 0.19/0.49 # Total rewrite steps : 2078
% 0.19/0.49 # Propositional unsat checks : 0
% 0.19/0.49 # Propositional check models : 0
% 0.19/0.49 # Propositional check unsatisfiable : 0
% 0.19/0.49 # Propositional clauses : 0
% 0.19/0.49 # Propositional clauses after purity: 0
% 0.19/0.49 # Propositional unsat core size : 0
% 0.19/0.49 # Propositional preprocessing time : 0.000
% 0.19/0.49 # Propositional encoding time : 0.000
% 0.19/0.49 # Propositional solver time : 0.000
% 0.19/0.49 # Success case prop preproc time : 0.000
% 0.19/0.49 # Success case prop encoding time : 0.000
% 0.19/0.49 # Success case prop solver time : 0.000
% 0.19/0.49 # Current number of processed clauses : 47
% 0.19/0.49 # Positive orientable unit clauses : 36
% 0.19/0.49 # Positive unorientable unit clauses: 0
% 0.19/0.49 # Negative unit clauses : 1
% 0.19/0.49 # Non-unit-clauses : 10
% 0.19/0.49 # Current number of unprocessed clauses: 215
% 0.19/0.49 # ...number of literals in the above : 253
% 0.19/0.49 # Current number of archived formulas : 0
% 0.19/0.49 # Current number of archived clauses : 22
% 0.19/0.49 # Clause-clause subsumption calls (NU) : 24
% 0.19/0.49 # Rec. Clause-clause subsumption calls : 24
% 0.19/0.49 # Non-unit clause-clause subsumptions : 8
% 0.19/0.49 # Unit Clause-clause subsumption calls : 2
% 0.19/0.49 # Rewrite failures with RHS unbound : 0
% 0.19/0.49 # BW rewrite match attempts : 77
% 0.19/0.49 # BW rewrite match successes : 9
% 0.19/0.49 # Condensation attempts : 0
% 0.19/0.49 # Condensation successes : 0
% 0.19/0.49 # Termbank termtop insertions : 12394
% 0.19/0.49
% 0.19/0.49 # -------------------------------------------------
% 0.19/0.49 # User time : 0.010 s
% 0.19/0.49 # System time : 0.003 s
% 0.19/0.49 # Total time : 0.014 s
% 0.19/0.49 # Maximum resident set size: 1652 pages
% 0.19/0.49
% 0.19/0.49 # -------------------------------------------------
% 0.19/0.49 # User time : 0.012 s
% 0.19/0.49 # System time : 0.005 s
% 0.19/0.49 # Total time : 0.017 s
% 0.19/0.49 # Maximum resident set size: 1672 pages
% 0.19/0.49 % E---3.1 exiting
%------------------------------------------------------------------------------