%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN008-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 13:02:29 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 12 ( 9 unt; 0 nHn; 8 RR)
% Number of literals : 16 ( 6 equ; 6 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 : 12 ( 2 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_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(zero_divide_anything_is_zero,axiom,
divide(zero,X) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).
cnf(a_LE_b,hypothesis,
less_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_LE_b) ).
cnf(prove_a_divide_c_LE_b_divide_c,negated_conjecture,
~ less_equal(divide(a,c),divide(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_divide_c_LE_b_divide_c) ).
cnf(13,plain,
divide(a,b) = zero,
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal1,a_LE_b]) ).
cnf(16,plain,
divide(divide(a,c),divide(b,c)) != zero,
inference('UR-RESOLVE',[status(thm)],[quotient_less_equal2,prove_a_divide_c_LE_b_divide_c]) ).
cnf(23,plain,
less_equal(divide(divide(a,X),divide(b,X)),zero),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[quotient_property,13,theory(equality)]),zero_divide_anything_is_zero,theory(equality)]) ).
cnf(26,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[less_equal_and_equal,16,zero_is_smallest]),23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN008-6 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n021.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 14:46:29 EDT 2022
% 0.20/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T14:46:29
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-01T14:46:29
% 0.20/0.51
% 0.20/0.51
% 0.20/0.51 #||
% 0.20/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51 % SZS output start Refutation
% See solution above
% 0.20/0.51 ||#
% 0.20/0.51
% 0.20/0.51 ; Summary of computation:
% 0.20/0.51 ; 102 formulas have been input or derived (from 17 formulas).
% 0.20/0.51 ; 26 (25%) were retained. Of these,
% 0.20/0.51 ; 26 (100%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; Run time in seconds excluding printing time:
% 0.20/0.51 ; 0.002 6% Read assertion file (1 call)
% 0.20/0.51 ; 0.000 0% Assert (12 calls)
% 0.20/0.51 ; 0.001 3% Process new row (94 calls)
% 0.20/0.51 ; 0.001 3% Resolution (32 calls)
% 0.20/0.51 ; 0.002 6% Paramodulation (16 calls)
% 0.20/0.51 ; 0.001 3% Condensing (3 calls)
% 0.20/0.51 ; 0.000 0% Forward subsumption (3 calls)
% 0.20/0.51 ; 0.000 0% Backward subsumption (3 calls)
% 0.20/0.51 ; 0.003 9% Forward simplification (94 calls)
% 0.20/0.51 ; 0.000 0% Backward simplification (26 calls)
% 0.20/0.51 ; 0.000 0% Ordering (63 calls)
% 0.20/0.51 ; 0.002 6% Sortal reasoning (32 calls)
% 0.20/0.51 ; 0.000 0% Purity testing (1 call)
% 0.20/0.51 ; 0.021 64% Other
% 0.20/0.51 ; 0.033 Total
% 0.20/0.51 ; 0.034 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 61 terms in all.
% 0.20/0.51 ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.20/0.51 ; Feature-vector-row-index has 11 nodes (11 at peak, 11 added, 0 deleted).
% 0.20/0.51 ; Retrieved 0 possibly forward subsuming rows in 3 calls.
% 0.20/0.51 ; Retrieved 0 possibly backward subsumed rows in 3 calls.
% 0.20/0.51 ; Path-index has 66 entries (66 at peak, 66 added, 0 deleted).
% 0.20/0.51 ; Path-index has 164 nodes (164 at peak, 164 added, 0 deleted).
% 0.20/0.51 ; Trie-index has 66 entries (66 at peak, 66 added, 0 deleted).
% 0.20/0.51 ; Trie-index has 187 nodes (187 at peak, 187 added, 0 deleted).
% 0.20/0.51 ; Retrieved 203 generalization terms in 176 calls.
% 0.20/0.51 ; Retrieved 40 instance terms in 22 calls.
% 0.20/0.51 ; Retrieved 374 unifiable terms in 138 calls.
% 0.20/0.51 ;
% 0.20/0.51 ; The agenda of rows to give has 9 entries:
% 0.20/0.51 ; 1 with value (4 13) 1 with value (4 16) 1 with value (4 19)
% 0.20/0.51 ; 1 with value (4 14) 1 with value (4 17) 1 with value (4 20)
% 0.20/0.51 ; 2 with value (4 15) 1 with value (4 18)
% 0.20/0.51 Evaluation took:
% 0.20/0.51 0.034 seconds of real time
% 0.20/0.51 0.025405 seconds of user run time
% 0.20/0.51 0.009176 seconds of system run time
% 0.20/0.51 0 calls to %EVAL
% 0.20/0.51 0 page faults and
% 0.20/0.51 2,190,328 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T14:46:29
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 *
%------------------------------------------------------------------------------