TSTP Solution File: HEN006-2 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : HEN006-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n026.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 3.67s 0.97s
% Output : CNFRefutation 3.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of clauses : 35 ( 18 unt; 0 nHn; 30 RR)
% Number of literals : 73 ( 3 equ; 40 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 71 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quotient_property,axiom,
( less_equal(X7,X8)
| ~ quotient(X1,X2,X3)
| ~ quotient(X2,X4,X5)
| ~ quotient(X1,X4,X6)
| ~ quotient(X6,X5,X7)
| ~ quotient(X3,X4,X8) ),
file('/export/starexec/sandbox/tmp/tmp.D6HJvuA0Kv/E---3.1_23098.p',quotient_property) ).
cnf(closure,axiom,
quotient(X1,X2,divide(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.D6HJvuA0Kv/E---3.1_23098.p',closure) ).
cnf(quotient_less_equal,axiom,
( quotient(X1,X2,zero)
| ~ less_equal(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.D6HJvuA0Kv/E---3.1_23098.p',quotient_less_equal) ).
cnf(xQz,hypothesis,
quotient(x,z,xQz),
file('/export/starexec/sandbox/tmp/tmp.D6HJvuA0Kv/E---3.1_23098.p',xQz) ).
cnf(xQy,hypothesis,
quotient(x,y,xQy),
file('/export/starexec/sandbox/tmp/tmp.D6HJvuA0Kv/E---3.1_23098.p',xQy) ).
cnf(xQyLEz,hypothesis,
less_equal(xQy,z),
file('/export/starexec/sandbox/tmp/tmp.D6HJvuA0Kv/E---3.1_23098.p',xQyLEz) ).
cnf(less_equal_and_equal,axiom,
( X1 = X2
| ~ less_equal(X1,X2)
| ~ less_equal(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.D6HJvuA0Kv/E---3.1_23098.p',less_equal_and_equal) ).
cnf(zero_is_smallest,axiom,
less_equal(zero,X1),
file('/export/starexec/sandbox/tmp/tmp.D6HJvuA0Kv/E---3.1_23098.p',zero_is_smallest) ).
cnf(divisor_existence,axiom,
( less_equal(X3,X1)
| ~ quotient(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.D6HJvuA0Kv/E---3.1_23098.p',divisor_existence) ).
cnf(transitivity_of_less_equal,axiom,
( less_equal(X1,X3)
| ~ less_equal(X1,X2)
| ~ less_equal(X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.D6HJvuA0Kv/E---3.1_23098.p',transitivity_of_less_equal) ).
cnf(less_equal_quotient,axiom,
( less_equal(X1,X2)
| ~ quotient(X1,X2,zero) ),
file('/export/starexec/sandbox/tmp/tmp.D6HJvuA0Kv/E---3.1_23098.p',less_equal_quotient) ).
cnf(prove_xQzLEy,negated_conjecture,
~ less_equal(xQz,y),
file('/export/starexec/sandbox/tmp/tmp.D6HJvuA0Kv/E---3.1_23098.p',prove_xQzLEy) ).
cnf(c_0_12,axiom,
( less_equal(X7,X8)
| ~ quotient(X1,X2,X3)
| ~ quotient(X2,X4,X5)
| ~ quotient(X1,X4,X6)
| ~ quotient(X6,X5,X7)
| ~ quotient(X3,X4,X8) ),
quotient_property ).
cnf(c_0_13,axiom,
quotient(X1,X2,divide(X1,X2)),
closure ).
cnf(c_0_14,plain,
( less_equal(divide(X1,X2),X3)
| ~ quotient(X4,X5,X3)
| ~ quotient(X6,X5,X2)
| ~ quotient(X7,X5,X1)
| ~ quotient(X7,X6,X4) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,axiom,
( quotient(X1,X2,zero)
| ~ less_equal(X1,X2) ),
quotient_less_equal ).
cnf(c_0_16,plain,
( less_equal(divide(X1,X2),zero)
| ~ quotient(X3,X4,X2)
| ~ quotient(X5,X4,X1)
| ~ quotient(X5,X3,X6)
| ~ less_equal(X6,X4) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,plain,
( less_equal(divide(X1,divide(X2,X3)),zero)
| ~ quotient(X4,X3,X1)
| ~ quotient(X4,X2,X5)
| ~ less_equal(X5,X3) ),
inference(spm,[status(thm)],[c_0_16,c_0_13]) ).
cnf(c_0_18,hypothesis,
quotient(x,z,xQz),
xQz ).
cnf(c_0_19,hypothesis,
( less_equal(divide(xQz,divide(X1,z)),zero)
| ~ quotient(x,X1,X2)
| ~ less_equal(X2,z) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,hypothesis,
quotient(x,y,xQy),
xQy ).
cnf(c_0_21,hypothesis,
less_equal(xQy,z),
xQyLEz ).
cnf(c_0_22,axiom,
( X1 = X2
| ~ less_equal(X1,X2)
| ~ less_equal(X2,X1) ),
less_equal_and_equal ).
cnf(c_0_23,hypothesis,
less_equal(divide(xQz,divide(y,z)),zero),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_24,axiom,
less_equal(zero,X1),
zero_is_smallest ).
cnf(c_0_25,axiom,
( less_equal(X3,X1)
| ~ quotient(X1,X2,X3) ),
divisor_existence ).
cnf(c_0_26,hypothesis,
divide(xQz,divide(y,z)) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).
cnf(c_0_27,axiom,
( less_equal(X1,X3)
| ~ less_equal(X1,X2)
| ~ less_equal(X2,X3) ),
transitivity_of_less_equal ).
cnf(c_0_28,plain,
less_equal(divide(X1,X2),X1),
inference(spm,[status(thm)],[c_0_25,c_0_13]) ).
cnf(c_0_29,axiom,
( less_equal(X1,X2)
| ~ quotient(X1,X2,zero) ),
less_equal_quotient ).
cnf(c_0_30,hypothesis,
quotient(xQz,divide(y,z),zero),
inference(spm,[status(thm)],[c_0_13,c_0_26]) ).
cnf(c_0_31,plain,
( less_equal(X1,X2)
| ~ less_equal(X1,divide(X2,X3)) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,hypothesis,
less_equal(xQz,divide(y,z)),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_33,negated_conjecture,
~ less_equal(xQz,y),
prove_xQzLEy ).
cnf(c_0_34,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HEN006-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 2400
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Oct 2 11:35:29 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order model finding
% 0.19/0.46 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.D6HJvuA0Kv/E---3.1_23098.p
% 3.67/0.97 # Version: 3.1pre001
% 3.67/0.97 # Preprocessing class: FSMSSMSSSSSNFFN.
% 3.67/0.97 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.67/0.97 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.67/0.97 # Starting new_bool_3 with 300s (1) cores
% 3.67/0.97 # Starting new_bool_1 with 300s (1) cores
% 3.67/0.97 # Starting sh5l with 300s (1) cores
% 3.67/0.97 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 23189 completed with status 0
% 3.67/0.97 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 3.67/0.97 # Preprocessing class: FSMSSMSSSSSNFFN.
% 3.67/0.97 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.67/0.97 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.67/0.97 # No SInE strategy applied
% 3.67/0.97 # Search class: FHUSM-FFSS22-SFFFFFNN
% 3.67/0.97 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 3.67/0.97 # Starting G-E--_208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 3.67/0.97 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 3.67/0.97 # Starting new_bool_3 with 136s (1) cores
% 3.67/0.97 # Starting new_bool_1 with 136s (1) cores
% 3.67/0.97 # Starting sh5l with 136s (1) cores
% 3.67/0.97 # G-E--_208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 23193 completed with status 0
% 3.67/0.97 # Result found by G-E--_208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 3.67/0.97 # Preprocessing class: FSMSSMSSSSSNFFN.
% 3.67/0.97 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.67/0.97 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.67/0.97 # No SInE strategy applied
% 3.67/0.97 # Search class: FHUSM-FFSS22-SFFFFFNN
% 3.67/0.97 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 3.67/0.97 # Starting G-E--_208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 3.67/0.97 # Preprocessing time : 0.001 s
% 3.67/0.97 # Presaturation interreduction done
% 3.67/0.97
% 3.67/0.97 # Proof found!
% 3.67/0.97 # SZS status Unsatisfiable
% 3.67/0.97 # SZS output start CNFRefutation
% See solution above
% 3.67/0.97 # Parsed axioms : 18
% 3.67/0.97 # Removed by relevancy pruning/SinE : 0
% 3.67/0.97 # Initial clauses : 18
% 3.67/0.97 # Removed in clause preprocessing : 0
% 3.67/0.97 # Initial clauses in saturation : 18
% 3.67/0.97 # Processed clauses : 8950
% 3.67/0.97 # ...of these trivial : 21
% 3.67/0.97 # ...subsumed : 7661
% 3.67/0.97 # ...remaining for further processing : 1268
% 3.67/0.97 # Other redundant clauses eliminated : 0
% 3.67/0.97 # Clauses deleted for lack of memory : 0
% 3.67/0.97 # Backward-subsumed : 443
% 3.67/0.97 # Backward-rewritten : 5
% 3.67/0.97 # Generated clauses : 48868
% 3.67/0.97 # ...of the previous two non-redundant : 36570
% 3.67/0.97 # ...aggressively subsumed : 0
% 3.67/0.97 # Contextual simplify-reflections : 19
% 3.67/0.97 # Paramodulations : 48868
% 3.67/0.97 # Factorizations : 0
% 3.67/0.97 # NegExts : 0
% 3.67/0.97 # Equation resolutions : 0
% 3.67/0.97 # Total rewrite steps : 30771
% 3.67/0.97 # Propositional unsat checks : 0
% 3.67/0.97 # Propositional check models : 0
% 3.67/0.97 # Propositional check unsatisfiable : 0
% 3.67/0.97 # Propositional clauses : 0
% 3.67/0.97 # Propositional clauses after purity: 0
% 3.67/0.97 # Propositional unsat core size : 0
% 3.67/0.97 # Propositional preprocessing time : 0.000
% 3.67/0.97 # Propositional encoding time : 0.000
% 3.67/0.97 # Propositional solver time : 0.000
% 3.67/0.97 # Success case prop preproc time : 0.000
% 3.67/0.97 # Success case prop encoding time : 0.000
% 3.67/0.97 # Success case prop solver time : 0.000
% 3.67/0.97 # Current number of processed clauses : 802
% 3.67/0.97 # Positive orientable unit clauses : 68
% 3.67/0.97 # Positive unorientable unit clauses: 0
% 3.67/0.97 # Negative unit clauses : 35
% 3.67/0.97 # Non-unit-clauses : 699
% 3.67/0.97 # Current number of unprocessed clauses: 27301
% 3.67/0.97 # ...number of literals in the above : 96215
% 3.67/0.97 # Current number of archived formulas : 0
% 3.67/0.97 # Current number of archived clauses : 466
% 3.67/0.97 # Clause-clause subsumption calls (NU) : 258440
% 3.67/0.97 # Rec. Clause-clause subsumption calls : 168538
% 3.67/0.97 # Non-unit clause-clause subsumptions : 6517
% 3.67/0.97 # Unit Clause-clause subsumption calls : 12293
% 3.67/0.97 # Rewrite failures with RHS unbound : 0
% 3.67/0.97 # BW rewrite match attempts : 215
% 3.67/0.97 # BW rewrite match successes : 4
% 3.67/0.97 # Condensation attempts : 0
% 3.67/0.97 # Condensation successes : 0
% 3.67/0.97 # Termbank termtop insertions : 495636
% 3.67/0.97
% 3.67/0.97 # -------------------------------------------------
% 3.67/0.97 # User time : 0.447 s
% 3.67/0.97 # System time : 0.010 s
% 3.67/0.97 # Total time : 0.457 s
% 3.67/0.97 # Maximum resident set size: 1652 pages
% 3.67/0.97
% 3.67/0.97 # -------------------------------------------------
% 3.67/0.97 # User time : 2.339 s
% 3.67/0.97 # System time : 0.026 s
% 3.67/0.97 # Total time : 2.365 s
% 3.67/0.97 # Maximum resident set size: 1684 pages
% 3.67/0.97 % E---3.1 exiting
%------------------------------------------------------------------------------