TSTP Solution File: HEN009-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN009-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 : 600s
% DateTime : Sat Jul 16 13:02:31 EDT 2022
% Result : Unsatisfiable 0.36s 0.57s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of clauses : 32 ( 27 unt; 0 nHn; 15 RR)
% Number of literals : 38 ( 12 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 33 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quotient_less_equal1,axiom,
( ~ less_equal(X,Y)
| divide(X,Y) = zero ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_less_equal1) ).
cnf(quotient_less_equal2,axiom,
( divide(X,Y) != zero
| less_equal(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_less_equal2) ).
cnf(quotient_smaller_than_numerator,axiom,
less_equal(divide(X,Y),X),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_smaller_than_numerator) ).
cnf(quotient_property,axiom,
less_equal(divide(divide(X,Y),divide(Z,Y)),divide(divide(X,Z),Y)),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_property) ).
cnf(zero_is_smallest,axiom,
less_equal(zero,X),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',zero_is_smallest) ).
cnf(less_equal_and_equal,axiom,
( ~ less_equal(X,Y)
| ~ less_equal(Y,X)
| X = Y ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',less_equal_and_equal) ).
cnf(identity_is_largest,axiom,
less_equal(X,identity),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',identity_is_largest) ).
cnf(x_divide_x_is_zero,axiom,
divide(X,X) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
cnf(property_of_divide1,axiom,
( ~ less_equal(divide(X,Y),Z)
| less_equal(divide(X,Z),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide1) ).
cnf(property_of_divide3,axiom,
( ~ less_equal(X,Y)
| less_equal(divide(X,Z),divide(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide3) ).
cnf(id_divide_a_is_b,hypothesis,
divide(identity,a) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',id_divide_a_is_b) ).
cnf(id_divide_b_is_c,hypothesis,
divide(identity,b) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',id_divide_b_is_c) ).
cnf(id_divide_c_is_d,hypothesis,
divide(identity,c) = d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',id_divide_c_is_d) ).
cnf(prove_b_equals_d,negated_conjecture,
b != d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_equals_d) ).
cnf(19,plain,
less_equal(X,X),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal2,x_divide_x_is_zero]) ).
cnf(23,plain,
less_equal(divide(X,Y),divide(identity,Y)),
inference('HYPERRESOLVE',[status(thm)],[property_of_divide3,identity_is_largest]) ).
cnf(30,plain,
less_equal(divide(b,divide(X,a)),divide(divide(identity,X),a)),
inference('PARAMODULATE',[status(thm)],[quotient_property,id_divide_a_is_b,theory(equality)]) ).
cnf(44,plain,
less_equal(divide(X,divide(X,Y)),Y),
inference('HYPERRESOLVE',[status(thm)],[property_of_divide1,19]) ).
cnf(45,plain,
less_equal(divide(X,a),b),
inference('PARAMODULATE',[status(thm)],[23,id_divide_a_is_b,theory(equality)]) ).
cnf(46,plain,
less_equal(divide(X,b),c),
inference('PARAMODULATE',[status(thm)],[23,id_divide_b_is_c,theory(equality)]) ).
cnf(51,plain,
less_equal(divide(X,b),a),
inference('HYPERRESOLVE',[status(thm)],[property_of_divide1,45]) ).
cnf(54,plain,
less_equal(divide(X,c),b),
inference('HYPERRESOLVE',[status(thm)],[property_of_divide1,46]) ).
cnf(60,plain,
less_equal(c,a),
inference('PARAMODULATE',[status(thm)],[51,id_divide_b_is_c,theory(equality)]) ).
cnf(63,plain,
divide(c,a) = zero,
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal1,60]) ).
cnf(65,plain,
less_equal(d,b),
inference('PARAMODULATE',[status(thm)],[54,id_divide_c_is_d,theory(equality)]) ).
cnf(68,plain,
~ less_equal(b,d),
inference('UR-RESOLVE',[status(thm)],[less_equal_and_equal,65,prove_b_equals_d]) ).
cnf(77,plain,
divide(X,divide(X,zero)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,44,zero_is_smallest]) ).
cnf(117,plain,
less_equal(X,divide(X,zero)),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal2,77]) ).
cnf(121,plain,
X = divide(X,zero),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,117,quotient_smaller_than_numerator]) ).
cnf(213,plain,
less_equal(b,divide(d,a)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[30,id_divide_c_is_d,theory(equality)]),121,63,theory(equality)]) ).
cnf(220,plain,
b = divide(d,a),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,213,45]) ).
cnf(224,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[quotient_smaller_than_numerator,220,theory(equality)]),68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HEN009-6 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 1 14:13:32 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.47 #<PACKAGE "SNARK-USER">
% 0.18/0.47 *
% 0.18/0.47 SNARK-TPTP-OPTIONS
% 0.18/0.47 *
% 0.18/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47 (USE-FACTORING :POS)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T14:13:32
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-01T14:13:32
% 0.36/0.57
% 0.36/0.57
% 0.36/0.57 #||
% 0.36/0.57 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.57 % SZS output start Refutation
% See solution above
% 0.36/0.57 ||#
% 0.36/0.57
% 0.36/0.57 ; Summary of computation:
% 0.36/0.57 ; 1172 formulas have been input or derived (from 81 formulas).
% 0.36/0.57 ; 224 (19%) were retained. Of these,
% 0.36/0.57 ; 51 (23%) were simplified or subsumed later,
% 0.36/0.57 ; 173 (77%) are still being kept.
% 0.36/0.57 ;
% 0.36/0.57 ; Run time in seconds excluding printing time:
% 0.36/0.57 ; 0.003 3% Read assertion file (1 call)
% 0.36/0.57 ; 0.000 0% Assert (17 calls)
% 0.36/0.57 ; 0.021 21% Process new row (913 calls)
% 0.36/0.57 ; 0.013 13% Resolution (160 calls)
% 0.36/0.57 ; 0.009 9% Paramodulation (80 calls)
% 0.36/0.57 ; 0.001 1% Condensing (23 calls)
% 0.36/0.57 ; 0.000 0% Forward subsumption (23 calls)
% 0.36/0.57 ; 0.000 0% Backward subsumption (23 calls)
% 0.36/0.57 ; 0.020 20% Forward simplification (851 calls)
% 0.36/0.57 ; 0.007 7% Backward simplification (224 calls)
% 0.36/0.57 ; 0.000 0% Ordering (575 calls)
% 0.36/0.57 ; 0.000 0% Sortal reasoning (32 calls)
% 0.36/0.57 ; 0.000 0% Purity testing (1 call)
% 0.36/0.57 ; 0.028 27% Other
% 0.36/0.57 ; 0.102 Total
% 0.36/0.57 ; 0.105 Real time
% 0.36/0.57 ;
% 0.36/0.57 ; Term-hash-array has 435 terms in all.
% 0.36/0.57 ; Feature-vector-row-index has 23 entries (23 at peak, 23 added, 0 deleted).
% 0.36/0.57 ; Feature-vector-row-index has 86 nodes (86 at peak, 86 added, 0 deleted).
% 0.36/0.57 ; Retrieved 0 possibly forward subsuming rows in 23 calls.
% 0.36/0.57 ; Retrieved 0 possibly backward subsumed rows in 23 calls.
% 0.36/0.57 ; Path-index has 358 entries (359 at peak, 455 added, 97 deleted).
% 0.36/0.57 ; Path-index has 311 nodes (311 at peak, 352 added, 41 deleted).
% 0.36/0.57 ; Trie-index has 358 entries (359 at peak, 455 added, 97 deleted).
% 0.36/0.57 ; Trie-index has 965 nodes (973 at peak, 1,216 added, 251 deleted).
% 0.36/0.57 ; Retrieved 3,285 generalization terms in 2,223 calls.
% 0.36/0.57 ; Retrieved 295 instance terms in 200 calls.
% 0.36/0.57 ; Retrieved 3,508 unifiable terms in 908 calls.
% 0.36/0.57 ;
% 0.36/0.57 ; The agenda of rows to process has 20 entries:
% 0.36/0.57 ; 1 with value 8 2 with value 13 1 with value 16
% 0.36/0.57 ; 6 with value 11 4 with value 14 3 with value 18
% 0.36/0.57 ; 2 with value 12 1 with value 15
% 0.36/0.57 ; The agenda of rows to give has 102 entries:
% 0.36/0.57 ; 1 with value (4 12) 10 with value (4 17) 15 with value (4 20)
% 0.36/0.57 ; 16 with value (4 15) 23 with value (4 18) 3 with value (4 21)
% 0.36/0.57 ; 14 with value (4 16) 14 with value (4 19) 6 with value (4 22)
% 0.36/0.57 Evaluation took:
% 0.36/0.57 0.105 seconds of real time
% 0.36/0.57 0.087035 seconds of user run time
% 0.36/0.57 0.017943 seconds of system run time
% 0.36/0.57 0 calls to %EVAL
% 0.36/0.57 0 page faults and
% 0.36/0.57 5,974,184 bytes consed.
% 0.36/0.57 :PROOF-FOUND
% 0.36/0.57 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T14:13:32
% 0.36/0.57 :PROOF-FOUND
% 0.36/0.57 *
%------------------------------------------------------------------------------