%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN006-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 13:02:24 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 15 ( 11 unt; 0 nHn; 12 RR)
% Number of literals : 21 ( 5 equ; 10 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 5 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(transitivity_of_less_equal,axiom,
( ~ less_equal(X,Y)
| ~ less_equal(Y,Z)
| less_equal(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_less_equal) ).
cnf(a_divide_b_LE_d,hypothesis,
less_equal(divide(a,b),d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_divide_b_LE_d) ).
cnf(prove_a_divide_d_LE_b,negated_conjecture,
~ less_equal(divide(a,d),b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_divide_d_LE_b) ).
cnf(16,plain,
divide(divide(a,b),d) = zero,
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal1,a_divide_b_LE_d]) ).
cnf(24,plain,
~ less_equal(divide(a,d),divide(b,X)),
inference('UR-RESOLVE',[status(thm)],[transitivity_of_less_equal,quotient_smaller_than_numerator,prove_a_divide_d_LE_b]) ).
cnf(52,plain,
divide(divide(a,d),divide(b,X)) != zero,
inference('UR-RESOLVE',[status(thm)],[quotient_less_equal2,24]) ).
cnf(59,plain,
less_equal(divide(divide(a,d),divide(b,d)),zero),
inference('PARAMODULATE',[status(thm)],[quotient_property,16,theory(equality)]) ).
cnf(92,plain,
~ less_equal(divide(divide(a,d),divide(b,X)),zero),
inference('UR-RESOLVE',[status(thm)],[less_equal_and_equal,52,zero_is_smallest]) ).
cnf(93,plain,
$false,
inference('REWRITE',[status(thm)],[59,92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : HEN006-4 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n017.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 14:10:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T14:10:09
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-07-01T14:10:09
% 0.19/0.53
% 0.19/0.53
% 0.19/0.53 #||
% 0.19/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53 % SZS output start Refutation
% See solution above
% 0.19/0.53 ||#
% 0.19/0.53
% 0.19/0.53 ; Summary of computation:
% 0.19/0.53 ; 554 formulas have been input or derived (from 50 formulas).
% 0.19/0.53 ; 93 (17%) were retained. Of these,
% 0.19/0.53 ; 6 ( 6%) were simplified or subsumed later,
% 0.19/0.53 ; 87 (94%) are still being kept.
% 0.19/0.53 ;
% 0.19/0.53 ; Run time in seconds excluding printing time:
% 0.19/0.53 ; 0.002 4% Read assertion file (1 call)
% 0.19/0.53 ; 0.001 2% Assert (14 calls)
% 0.19/0.53 ; 0.009 16% Process new row (430 calls)
% 0.19/0.53 ; 0.012 21% Resolution (98 calls)
% 0.19/0.53 ; 0.001 2% Paramodulation (49 calls)
% 0.19/0.53 ; 0.000 0% Condensing (5 calls)
% 0.19/0.53 ; 0.000 0% Forward subsumption (5 calls)
% 0.19/0.53 ; 0.000 0% Backward subsumption (5 calls)
% 0.19/0.53 ; 0.008 14% Forward simplification (352 calls)
% 0.19/0.53 ; 0.002 4% Backward simplification (93 calls)
% 0.19/0.53 ; 0.000 0% Ordering (153 calls)
% 0.19/0.53 ; 0.001 2% Sortal reasoning (32 calls)
% 0.19/0.53 ; 0.000 0% Purity testing (1 call)
% 0.19/0.53 ; 0.021 37% Other
% 0.19/0.53 ; 0.057 Total
% 0.19/0.53 ; 0.059 Real time
% 0.19/0.53 ;
% 0.19/0.53 ; Term-hash-array has 168 terms in all.
% 0.19/0.53 ; Feature-vector-row-index has 4 entries (5 at peak, 5 added, 1 deleted).
% 0.19/0.53 ; Feature-vector-row-index has 12 nodes (20 at peak, 20 added, 8 deleted).
% 0.19/0.53 ; Retrieved 0 possibly forward subsuming rows in 5 calls.
% 0.19/0.53 ; Retrieved 0 possibly backward subsumed rows in 5 calls.
% 0.19/0.53 ; Path-index has 166 entries (169 at peak, 174 added, 8 deleted).
% 0.19/0.53 ; Path-index has 245 nodes (247 at peak, 249 added, 4 deleted).
% 0.19/0.53 ; Trie-index has 166 entries (169 at peak, 174 added, 8 deleted).
% 0.19/0.53 ; Trie-index has 494 nodes (499 at peak, 507 added, 13 deleted).
% 0.19/0.53 ; Retrieved 937 generalization terms in 736 calls.
% 0.19/0.53 ; Retrieved 129 instance terms in 87 calls.
% 0.19/0.53 ; Retrieved 2,725 unifiable terms in 695 calls.
% 0.19/0.53 ;
% 0.19/0.53 ; The agenda of rows to give has 40 entries:
% 0.19/0.53 ; 8 with value (4 14) 7 with value (4 17) 4 with value (4 20)
% 0.19/0.53 ; 11 with value (4 15) 3 with value (4 18) 1 with value (4 22)
% 0.19/0.53 ; 3 with value (4 16) 2 with value (4 19) 1 with value (4 24)
% 0.19/0.53 Evaluation took:
% 0.19/0.53 0.06 seconds of real time
% 0.19/0.53 0.047648 seconds of user run time
% 0.19/0.53 0.011801 seconds of system run time
% 0.19/0.53 0 calls to %EVAL
% 0.19/0.53 0 page faults and
% 0.19/0.53 3,300,064 bytes consed.
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T14:10:10
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 *
%------------------------------------------------------------------------------