%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN005-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 13:02:22 EDT 2022
% Result : Unsatisfiable 0.47s 0.65s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of clauses : 17 ( 13 unt; 0 nHn; 13 RR)
% Number of literals : 26 ( 2 equ; 11 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 19 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quotient_less_equal,axiom,
( ~ less_equal(X,Y)
| quotient(X,Y,zero) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',quotient_less_equal) ).
cnf(less_equal_quotient,axiom,
( ~ quotient(X,Y,zero)
| less_equal(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',less_equal_quotient) ).
cnf(quotient_property,axiom,
( ~ quotient(X,Y,Z)
| ~ quotient(Y,U,V)
| ~ quotient(X,U,W)
| ~ quotient(W,V,X1)
| ~ quotient(Z,U,Y1)
| less_equal(X1,Y1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',quotient_property) ).
cnf(zero_is_smallest,axiom,
less_equal(zero,X),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.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/HEN001-0.ax',less_equal_and_equal) ).
cnf(closure,axiom,
quotient(X,Y,divide(X,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',closure) ).
cnf(zero_divide_anything_is_zero,axiom,
quotient(zero,X,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).
cnf(x_divde_zero_is_x,axiom,
quotient(X,zero,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divde_zero_is_x) ).
cnf(xLEy,hypothesis,
less_equal(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xLEy) ).
cnf(yLEz,hypothesis,
less_equal(y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',yLEz) ).
cnf(prove_transitivity_of_less_equal,negated_conjecture,
~ less_equal(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity_of_less_equal) ).
cnf(17,plain,
quotient(y,z,zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal,yLEz]) ).
cnf(18,plain,
quotient(x,y,zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal,xLEy]) ).
cnf(20,plain,
~ quotient(x,z,zero),
inference('UR-RESOLVE',[status(thm)],[less_equal_quotient,prove_transitivity_of_less_equal]) ).
cnf(36,plain,
less_equal(divide(x,z),zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,18,17,closure,x_divde_zero_is_x,zero_divide_anything_is_zero]) ).
cnf(40,plain,
divide(x,z) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,36,zero_is_smallest]) ).
cnf(47,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[closure,40,theory(equality)]),20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : HEN005-2 : TPTP v8.1.0. Released v1.0.0.
% 0.02/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n003.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 : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 1 13:21:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T13:21:53
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-01T13:21:53
% 0.19/0.47
% 0.19/0.47 ; Recognized relation function assertion (|quotient| ?X ?Y (|divide| ?X ?Y)).
% 0.19/0.47 ; Recognized relation functionality assertion (OR (NOT (|quotient| ?X ?Y ?Z)) (NOT (|quotient| ?X ?Y ?U)) (= ?Z ?U)).
% 0.47/0.65 ; Recognized possible right identity assertion (|quotient| ?X |zero| ?X).
% 0.47/0.65
% 0.47/0.65 #||
% 0.47/0.65 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.65 % SZS output start Refutation
% See solution above
% 0.47/0.65 ||#
% 0.47/0.65
% 0.47/0.65 ; Summary of computation:
% 0.47/0.65 ; 5679 formulas have been input or derived (from 33 formulas).
% 0.47/0.65 ; 47 ( 1%) were retained. Of these,
% 0.47/0.65 ; 1 ( 2%) were simplified or subsumed later,
% 0.47/0.65 ; 46 (98%) are still being kept.
% 0.47/0.65 ;
% 0.47/0.65 ; Run time in seconds excluding printing time:
% 0.47/0.65 ; 0.003 2% Read assertion file (1 call)
% 0.47/0.65 ; 0.001 1% Assert (16 calls)
% 0.47/0.65 ; 0.014 8% Process new row (2,242 calls)
% 0.47/0.65 ; 0.113 61% Resolution (64 calls)
% 0.47/0.65 ; 0.000 0% Paramodulation (32 calls)
% 0.47/0.65 ; 0.001 1% Condensing (6 calls)
% 0.47/0.65 ; 0.000 0% Forward subsumption (6 calls)
% 0.47/0.65 ; 0.000 0% Backward subsumption (6 calls)
% 0.47/0.65 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.47/0.65 ; 0.020 11% Forward simplification (2,241 calls)
% 0.47/0.65 ; 0.000 0% Backward simplification (47 calls)
% 0.47/0.65 ; 0.000 0% Ordering (53 calls)
% 0.47/0.65 ; 0.000 0% Sortal reasoning (32 calls)
% 0.47/0.65 ; 0.000 0% Purity testing (1 call)
% 0.47/0.65 ; 0.033 18% Other
% 0.47/0.65 ; 0.185 Total
% 0.47/0.65 ; 0.191 Real time
% 0.47/0.65 ;
% 0.47/0.65 ; Term-hash-array has 90 terms in all.
% 0.47/0.65 ; Feature-vector-row-index has 6 entries (6 at peak, 6 added, 0 deleted).
% 0.47/0.65 ; Feature-vector-row-index has 12 nodes (12 at peak, 12 added, 0 deleted).
% 0.47/0.65 ; Retrieved 1 possibly forward subsuming row in 6 calls.
% 0.47/0.65 ; Retrieved 1 possibly backward subsumed row in 6 calls.
% 0.47/0.65 ; Path-index has 94 entries (94 at peak, 95 added, 1 deleted).
% 0.47/0.65 ; Path-index has 168 nodes (168 at peak, 169 added, 1 deleted).
% 0.47/0.65 ; Trie-index has 94 entries (94 at peak, 95 added, 1 deleted).
% 0.47/0.65 ; Trie-index has 215 nodes (215 at peak, 218 added, 3 deleted).
% 0.47/0.65 ; Retrieved 6,096 generalization terms in 4,993 calls.
% 0.47/0.65 ; Retrieved 64 instance terms in 40 calls.
% 0.47/0.65 ; Retrieved 39,308 unifiable terms in 13,494 calls.
% 0.47/0.65 ;
% 0.47/0.65 ; The agenda of rows to give has 14 entries:
% 0.47/0.65 ; 5 with value (4 13) 1 with value (4 16) 3 with value (4 18)
% 0.47/0.65 ; 4 with value (4 14) 1 with value (4 17)
% 0.47/0.65 Evaluation took:
% 0.47/0.65 0.191 seconds of real time
% 0.47/0.65 0.170023 seconds of user run time
% 0.47/0.65 0.017775 seconds of system run time
% 0.47/0.65 0 calls to %EVAL
% 0.47/0.65 0 page faults and
% 0.47/0.65 10,155,440 bytes consed.
% 0.47/0.65 :PROOF-FOUND
% 0.47/0.65 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T13:21:53
% 0.47/0.65 :PROOF-FOUND
% 0.47/0.65 *
%------------------------------------------------------------------------------