%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN007-3 : 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 13:02:26 EDT 2022
% Result : Unsatisfiable 0.41s 0.60s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of clauses : 43 ( 40 unt; 0 nHn; 9 RR)
% Number of literals : 47 ( 18 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 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 : 60 ( 13 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(a_LE_b,hypothesis,
less_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_LE_b) ).
cnf(prove_c_divide_b_LE_c_divide_a,negated_conjecture,
~ less_equal(divide(c,b),divide(c,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_divide_b_LE_c_divide_a) ).
cnf(10,plain,
divide(a,b) = zero,
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal1,a_LE_b]) ).
cnf(12,plain,
divide(zero,X) = zero,
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal1,zero_is_smallest]) ).
cnf(13,plain,
divide(divide(X,Y),X) = zero,
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal1,quotient_smaller_than_numerator]) ).
cnf(14,plain,
divide(divide(c,b),divide(c,a)) != zero,
inference('UR-RESOLVE',[status(thm)],[quotient_less_equal2,prove_c_divide_b_LE_c_divide_a]) ).
cnf(16,plain,
less_equal(divide(divide(X,b),zero),divide(divide(X,a),b)),
inference('PARAMODULATE',[status(thm)],[quotient_property,10,theory(equality)]) ).
cnf(19,plain,
less_equal(divide(divide(X,Y),zero),divide(divide(X,zero),Y)),
inference('PARAMODULATE',[status(thm)],[quotient_property,12,theory(equality)]) ).
cnf(20,plain,
less_equal(divide(divide(X,X),divide(Y,X)),zero),
inference('PARAMODULATE',[status(thm)],[quotient_property,13,theory(equality)]) ).
cnf(21,plain,
less_equal(divide(divide(X,Y),zero),divide(divide(X,divide(Y,Z)),Y)),
inference('PARAMODULATE',[status(thm)],[quotient_property,13,theory(equality)]) ).
cnf(22,plain,
less_equal(divide(divide(divide(X,Y),Z),divide(X,Z)),zero),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[quotient_property,13,theory(equality)]),12,theory(equality)]) ).
cnf(23,plain,
~ less_equal(divide(divide(c,b),divide(c,a)),zero),
inference('UR-RESOLVE',[status(thm)],[less_equal_and_equal,14,zero_is_smallest]) ).
cnf(27,plain,
less_equal(divide(divide(X,X),zero),zero),
inference('PARAMODULATE',[status(thm)],[20,12,theory(equality)]) ).
cnf(29,plain,
divide(divide(X,X),zero) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,27,zero_is_smallest]) ).
cnf(31,plain,
less_equal(divide(X,X),zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal2,29]) ).
cnf(34,plain,
divide(X,X) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,31,zero_is_smallest]) ).
cnf(36,plain,
less_equal(divide(divide(X,Y),zero),divide(divide(X,Y),Y)),
inference('PARAMODULATE',[status(thm)],[quotient_property,34,theory(equality)]) ).
cnf(47,plain,
divide(divide(divide(X,b),zero),divide(divide(X,a),b)) = zero,
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal1,16]) ).
cnf(51,plain,
less_equal(divide(divide(X,divide(X,zero)),zero),zero),
inference('PARAMODULATE',[status(thm)],[19,34,theory(equality)]) ).
cnf(53,plain,
divide(divide(divide(X,Y),Z),divide(X,Z)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,22,zero_is_smallest]) ).
cnf(66,plain,
less_equal(divide(divide(divide(X,Y),divide(X,zero)),zero),zero),
inference('PARAMODULATE',[status(thm)],[19,53,theory(equality)]) ).
cnf(105,plain,
divide(divide(divide(X,Y),divide(X,zero)),zero) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,66,zero_is_smallest]) ).
cnf(140,plain,
less_equal(divide(divide(divide(divide(X,b),zero),divide(X,a)),zero),zero),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[21,47,theory(equality)]),12,theory(equality)]) ).
cnf(156,plain,
divide(divide(X,divide(X,zero)),zero) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,51,zero_is_smallest]) ).
cnf(161,plain,
less_equal(divide(divide(X,Y),divide(X,zero)),zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal2,105]) ).
cnf(168,plain,
divide(divide(X,Y),divide(X,zero)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,161,zero_is_smallest]) ).
cnf(169,plain,
less_equal(divide(X,Y),divide(X,zero)),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal2,168]) ).
cnf(178,plain,
divide(divide(X,Y),zero) = divide(divide(X,Y),Y),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,36,169]) ).
cnf(186,plain,
less_equal(divide(divide(divide(divide(X,b),b),divide(X,a)),zero),zero),
inference('REWRITE',[status(thm)],[140,178,theory(equality)]) ).
cnf(196,plain,
less_equal(divide(X,divide(X,zero)),zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal2,156]) ).
cnf(201,plain,
divide(X,divide(X,zero)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,196,zero_is_smallest]) ).
cnf(202,plain,
less_equal(X,divide(X,zero)),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal2,201]) ).
cnf(211,plain,
X = divide(X,zero),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,202,quotient_smaller_than_numerator]) ).
cnf(215,plain,
less_equal(divide(divide(divide(X,b),b),divide(X,a)),zero),
inference('REWRITE',[status(thm)],[186,211,theory(equality)]) ).
cnf(248,plain,
divide(X,Y) = divide(divide(X,Y),Y),
inference('REWRITE',[status(thm)],[178,211,theory(equality)]) ).
cnf(255,plain,
less_equal(divide(divide(X,b),divide(X,a)),zero),
inference('REWRITE',[status(thm)],[215,248,theory(equality)]) ).
cnf(256,plain,
$false,
inference('REWRITE',[status(thm)],[23,255]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN007-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 1 14:48:22 EDT 2022
% 0.12/0.34 % 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 2022-07-01T14:48:23
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-01T14:48:23
% 0.41/0.60
% 0.41/0.60
% 0.41/0.60 #||
% 0.41/0.60 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.60 % SZS output start Refutation
% See solution above
% 0.41/0.60 ||#
% 0.41/0.60
% 0.41/0.60 ; Summary of computation:
% 0.41/0.60 ; 1788 formulas have been input or derived (from 80 formulas).
% 0.41/0.60 ; 256 (14%) were retained. Of these,
% 0.41/0.60 ; 186 (73%) were simplified or subsumed later,
% 0.41/0.60 ; 70 (27%) are still being kept.
% 0.41/0.60 ;
% 0.41/0.60 ; Run time in seconds excluding printing time:
% 0.41/0.60 ; 0.002 2% Read assertion file (1 call)
% 0.41/0.60 ; 0.000 0% Assert (9 calls)
% 0.41/0.60 ; 0.025 19% Process new row (1,477 calls)
% 0.41/0.60 ; 0.008 6% Resolution (158 calls)
% 0.41/0.60 ; 0.017 13% Paramodulation (79 calls)
% 0.41/0.60 ; 0.000 0% Condensing (4 calls)
% 0.41/0.60 ; 0.000 0% Forward subsumption (4 calls)
% 0.41/0.60 ; 0.001 1% Backward subsumption (4 calls)
% 0.41/0.60 ; 0.036 27% Forward simplification (1,370 calls)
% 0.41/0.60 ; 0.009 7% Backward simplification (256 calls)
% 0.41/0.60 ; 0.003 2% Ordering (1,493 calls)
% 0.41/0.60 ; 0.000 0% Sortal reasoning (32 calls)
% 0.41/0.60 ; 0.000 0% Purity testing (1 call)
% 0.41/0.60 ; 0.030 23% Other
% 0.41/0.60 ; 0.131 Total
% 0.41/0.60 ; 0.134 Real time
% 0.41/0.60 ;
% 0.41/0.60 ; Term-hash-array has 550 terms in all.
% 0.41/0.60 ; Feature-vector-row-index has 4 entries (4 at peak, 4 added, 0 deleted).
% 0.41/0.60 ; Feature-vector-row-index has 19 nodes (19 at peak, 19 added, 0 deleted).
% 0.41/0.60 ; Retrieved 0 possibly forward subsuming rows in 4 calls.
% 0.41/0.60 ; Retrieved 0 possibly backward subsumed rows in 4 calls.
% 0.41/0.60 ; Path-index has 182 entries (325 at peak, 602 added, 420 deleted).
% 0.41/0.60 ; Path-index has 383 nodes (518 at peak, 703 added, 320 deleted).
% 0.41/0.60 ; Trie-index has 182 entries (325 at peak, 602 added, 420 deleted).
% 0.41/0.60 ; Trie-index has 725 nodes (1,521 at peak, 2,772 added, 2,047 deleted).
% 0.41/0.60 ; Retrieved 7,280 generalization terms in 5,227 calls.
% 0.41/0.60 ; Retrieved 855 instance terms in 253 calls.
% 0.41/0.60 ; Retrieved 3,681 unifiable terms in 1,025 calls.
% 0.41/0.60 ;
% 0.41/0.60 ; The agenda of backward simplifiable rows to process has 2 entries:
% 0.41/0.60 ; 2 with value 0
% 0.41/0.60 ; The agenda of rows to process has 18 entries:
% 0.41/0.60 ; 8 with value 19 2 with value 22 8 with value 24
% 0.41/0.60 ; The agenda of rows to give has 41 entries:
% 0.41/0.60 ; 1 with value (4 16) 5 with value (4 23) 2 with value (4 28)
% 0.41/0.60 ; 2 with value (4 19) 3 with value (4 24) 1 with value (4 29)
% 0.41/0.60 ; 2 with value (4 20) 3 with value (4 25) 2 with value (4 30)
% 0.41/0.60 ; 5 with value (4 21) 6 with value (4 26) 1 with value (4 33)
% 0.41/0.60 ; 7 with value (4 22) 1 with value (4 27)
% 0.41/0.60 Evaluation took:
% 0.41/0.60 0.135 seconds of real time
% 0.41/0.60 0.113768 seconds of user run time
% 0.41/0.60 0.020368 seconds of system run time
% 0.41/0.60 0 calls to %EVAL
% 0.41/0.60 0 page faults and
% 0.41/0.60 9,864,456 bytes consed.
% 0.41/0.60 :PROOF-FOUND
% 0.41/0.60 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T14:48:23
% 0.41/0.60 :PROOF-FOUND
% 0.41/0.60 *
%------------------------------------------------------------------------------