TSTP Solution File: HEN010-6 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : HEN010-6 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n027.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 21:33:48 EDT 2024
% Result : Unsatisfiable 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of clauses : 32 ( 21 unt; 0 nHn; 15 RR)
% Number of literals : 46 ( 19 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 50 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quotient_less_equal2,axiom,
( less_equal(X1,X2)
| divide(X1,X2) != zero ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_less_equal2) ).
cnf(less_equal_and_equal,axiom,
( X1 = X2
| ~ less_equal(X1,X2)
| ~ less_equal(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',less_equal_and_equal) ).
cnf(property_of_divide1,axiom,
( less_equal(divide(X1,X3),X2)
| ~ less_equal(divide(X1,X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide1) ).
cnf(x_divide_x_is_zero,axiom,
divide(X1,X1) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
cnf(zero_is_smallest,axiom,
less_equal(zero,X1),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',zero_is_smallest) ).
cnf(quotient_property,axiom,
less_equal(divide(divide(X1,X2),divide(X3,X2)),divide(divide(X1,X3),X2)),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_property) ).
cnf(quotient_smaller_than_numerator,axiom,
less_equal(divide(X1,X2),X1),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_smaller_than_numerator) ).
cnf(prove_property_of_inversion,negated_conjecture,
divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_of_inversion) ).
cnf(one_inversion_equals_three,axiom,
divide(identity,divide(identity,divide(identity,X1))) = divide(identity,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_inversion_equals_three) ).
cnf(c_0_9,plain,
( less_equal(X1,X2)
| divide(X1,X2) != zero ),
inference(fof_simplification,[status(thm)],[quotient_less_equal2]) ).
cnf(c_0_10,plain,
( X1 = X2
| ~ less_equal(X1,X2)
| ~ less_equal(X2,X1) ),
inference(fof_simplification,[status(thm)],[less_equal_and_equal]) ).
cnf(c_0_11,plain,
( less_equal(divide(X1,X3),X2)
| ~ less_equal(divide(X1,X2),X3) ),
inference(fof_simplification,[status(thm)],[property_of_divide1]) ).
cnf(c_0_12,plain,
( less_equal(X1,X2)
| divide(X1,X2) != zero ),
c_0_9 ).
cnf(c_0_13,axiom,
divide(X1,X1) = zero,
x_divide_x_is_zero ).
cnf(c_0_14,plain,
( X1 = X2
| ~ less_equal(X1,X2)
| ~ less_equal(X2,X1) ),
c_0_10 ).
cnf(c_0_15,axiom,
less_equal(zero,X1),
zero_is_smallest ).
cnf(c_0_16,plain,
( less_equal(divide(X1,X3),X2)
| ~ less_equal(divide(X1,X2),X3) ),
c_0_11 ).
cnf(c_0_17,plain,
less_equal(X1,X1),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,plain,
( X1 = zero
| ~ less_equal(X1,zero) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,plain,
less_equal(divide(X1,divide(X1,X2)),X2),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,plain,
divide(X1,divide(X1,zero)) = zero,
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,axiom,
less_equal(divide(divide(X1,X2),divide(X3,X2)),divide(divide(X1,X3),X2)),
quotient_property ).
cnf(c_0_22,plain,
less_equal(X1,divide(X1,zero)),
inference(spm,[status(thm)],[c_0_12,c_0_20]) ).
cnf(c_0_23,axiom,
less_equal(divide(X1,X2),X1),
quotient_smaller_than_numerator ).
cnf(c_0_24,plain,
( divide(divide(X1,X2),divide(X3,X2)) = divide(divide(X1,X3),X2)
| ~ less_equal(divide(divide(X1,X3),X2),divide(divide(X1,X2),divide(X3,X2))) ),
inference(spm,[status(thm)],[c_0_14,c_0_21]) ).
cnf(c_0_25,plain,
divide(X1,zero) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_22]),c_0_23])]) ).
cnf(c_0_26,negated_conjecture,
divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
inference(fof_simplification,[status(thm)],[prove_property_of_inversion]) ).
cnf(c_0_27,plain,
divide(divide(X1,X2),X2) = divide(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_13]),c_0_25]),c_0_25]),c_0_23])]) ).
cnf(c_0_28,axiom,
divide(identity,divide(identity,divide(identity,X1))) = divide(identity,X1),
one_inversion_equals_three ).
cnf(c_0_29,negated_conjecture,
divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
c_0_26 ).
cnf(c_0_30,plain,
divide(divide(identity,X1),divide(identity,divide(identity,X1))) = divide(identity,X1),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HEN010-6 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun May 19 22:54:08 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 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 --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50 # Version: 3.1.0
% 0.19/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.50 # Starting sh5l with 300s (1) cores
% 0.19/0.50 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 28022 completed with status 0
% 0.19/0.50 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.50 # No SInE strategy applied
% 0.19/0.50 # Search class: FHUSM-FFSF22-MFFFFFNN
% 0.19/0.50 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.50 # Starting H----_042_B03_F1_AE_Q4_SP_S2S with 811s (1) cores
% 0.19/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.19/0.50 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 0.19/0.50 # Starting new_bool_3 with 136s (1) cores
% 0.19/0.50 # Starting new_bool_1 with 136s (1) cores
% 0.19/0.50 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 28030 completed with status 0
% 0.19/0.50 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 0.19/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.50 # No SInE strategy applied
% 0.19/0.50 # Search class: FHUSM-FFSF22-MFFFFFNN
% 0.19/0.50 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.50 # Starting H----_042_B03_F1_AE_Q4_SP_S2S with 811s (1) cores
% 0.19/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.19/0.50 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 0.19/0.50 # Preprocessing time : 0.001 s
% 0.19/0.50 # Presaturation interreduction done
% 0.19/0.50
% 0.19/0.50 # Proof found!
% 0.19/0.50 # SZS status Unsatisfiable
% 0.19/0.50 # SZS output start CNFRefutation
% See solution above
% 0.19/0.50 # Parsed axioms : 16
% 0.19/0.50 # Removed by relevancy pruning/SinE : 0
% 0.19/0.50 # Initial clauses : 16
% 0.19/0.50 # Removed in clause preprocessing : 0
% 0.19/0.50 # Initial clauses in saturation : 16
% 0.19/0.50 # Processed clauses : 112
% 0.19/0.50 # ...of these trivial : 5
% 0.19/0.50 # ...subsumed : 38
% 0.19/0.50 # ...remaining for further processing : 69
% 0.19/0.50 # Other redundant clauses eliminated : 1
% 0.19/0.50 # Clauses deleted for lack of memory : 0
% 0.19/0.50 # Backward-subsumed : 2
% 0.19/0.50 # Backward-rewritten : 10
% 0.19/0.50 # Generated clauses : 760
% 0.19/0.50 # ...of the previous two non-redundant : 266
% 0.19/0.50 # ...aggressively subsumed : 0
% 0.19/0.50 # Contextual simplify-reflections : 0
% 0.19/0.50 # Paramodulations : 759
% 0.19/0.50 # Factorizations : 0
% 0.19/0.50 # NegExts : 0
% 0.19/0.50 # Equation resolutions : 1
% 0.19/0.50 # Disequality decompositions : 0
% 0.19/0.50 # Total rewrite steps : 1033
% 0.19/0.50 # ...of those cached : 836
% 0.19/0.50 # Propositional unsat checks : 0
% 0.19/0.50 # Propositional check models : 0
% 0.19/0.50 # Propositional check unsatisfiable : 0
% 0.19/0.50 # Propositional clauses : 0
% 0.19/0.50 # Propositional clauses after purity: 0
% 0.19/0.50 # Propositional unsat core size : 0
% 0.19/0.50 # Propositional preprocessing time : 0.000
% 0.19/0.50 # Propositional encoding time : 0.000
% 0.19/0.50 # Propositional solver time : 0.000
% 0.19/0.50 # Success case prop preproc time : 0.000
% 0.19/0.50 # Success case prop encoding time : 0.000
% 0.19/0.50 # Success case prop solver time : 0.000
% 0.19/0.50 # Current number of processed clauses : 41
% 0.19/0.50 # Positive orientable unit clauses : 24
% 0.19/0.50 # Positive unorientable unit clauses: 0
% 0.19/0.50 # Negative unit clauses : 0
% 0.19/0.50 # Non-unit-clauses : 17
% 0.19/0.50 # Current number of unprocessed clauses: 178
% 0.19/0.50 # ...number of literals in the above : 218
% 0.19/0.50 # Current number of archived formulas : 0
% 0.19/0.50 # Current number of archived clauses : 28
% 0.19/0.50 # Clause-clause subsumption calls (NU) : 79
% 0.19/0.50 # Rec. Clause-clause subsumption calls : 79
% 0.19/0.50 # Non-unit clause-clause subsumptions : 40
% 0.19/0.50 # Unit Clause-clause subsumption calls : 19
% 0.19/0.50 # Rewrite failures with RHS unbound : 0
% 0.19/0.50 # BW rewrite match attempts : 56
% 0.19/0.50 # BW rewrite match successes : 8
% 0.19/0.50 # Condensation attempts : 0
% 0.19/0.50 # Condensation successes : 0
% 0.19/0.50 # Termbank termtop insertions : 7120
% 0.19/0.50 # Search garbage collected termcells : 15
% 0.19/0.50
% 0.19/0.50 # -------------------------------------------------
% 0.19/0.50 # User time : 0.012 s
% 0.19/0.50 # System time : 0.001 s
% 0.19/0.50 # Total time : 0.013 s
% 0.19/0.50 # Maximum resident set size: 1660 pages
% 0.19/0.50
% 0.19/0.50 # -------------------------------------------------
% 0.19/0.50 # User time : 0.040 s
% 0.19/0.50 # System time : 0.011 s
% 0.19/0.50 # Total time : 0.051 s
% 0.19/0.50 # Maximum resident set size: 1704 pages
% 0.19/0.50 % E---3.1 exiting
% 0.19/0.50 % E exiting
%------------------------------------------------------------------------------