TSTP Solution File: HEN004-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN004-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 13:02:21 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 21 ( 18 unt; 0 nHn; 9 RR)
% Number of literals : 25 ( 10 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 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(zero_divide_anything_is_zero,axiom,
divide(zero,X) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).
cnf(prove_x_divide_zero_is_x,negated_conjecture,
divide(a,zero) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_x_divide_zero_is_x) ).
cnf(11,plain,
divide(divide(X,Y),X) = zero,
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal1,quotient_smaller_than_numerator]) ).
cnf(12,plain,
~ less_equal(a,divide(a,zero)),
inference('UR-RESOLVE',[status(thm)],[less_equal_and_equal,quotient_smaller_than_numerator,prove_x_divide_zero_is_x]) ).
cnf(13,plain,
less_equal(divide(divide(X,Y),zero),divide(divide(X,zero),Y)),
inference('PARAMODULATE',[status(thm)],[quotient_property,zero_divide_anything_is_zero,theory(equality)]) ).
cnf(16,plain,
divide(a,divide(a,zero)) != zero,
inference('UR-RESOLVE',[status(thm)],[quotient_less_equal2,12]) ).
cnf(17,plain,
less_equal(divide(divide(X,X),divide(Y,X)),zero),
inference('PARAMODULATE',[status(thm)],[quotient_property,11,theory(equality)]) ).
cnf(20,plain,
~ less_equal(divide(a,divide(a,zero)),zero),
inference('UR-RESOLVE',[status(thm)],[less_equal_and_equal,16,zero_is_smallest]) ).
cnf(22,plain,
divide(divide(a,divide(a,zero)),zero) != zero,
inference('UR-RESOLVE',[status(thm)],[quotient_less_equal2,20]) ).
cnf(23,plain,
less_equal(divide(divide(X,X),zero),zero),
inference('PARAMODULATE',[status(thm)],[17,zero_divide_anything_is_zero,theory(equality)]) ).
cnf(25,plain,
divide(divide(X,X),zero) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,23,zero_is_smallest]) ).
cnf(30,plain,
less_equal(divide(X,X),zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal2,25]) ).
cnf(33,plain,
divide(X,X) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,30,zero_is_smallest]) ).
cnf(39,plain,
less_equal(divide(divide(X,divide(X,zero)),zero),zero),
inference('PARAMODULATE',[status(thm)],[13,33,theory(equality)]) ).
cnf(42,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[less_equal_and_equal,22,zero_is_smallest]),39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HEN004-6 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jul 1 13:57:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 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 2022-07-01T13:57:59
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-01T13:57:59
% 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 ; 254 formulas have been input or derived (from 28 formulas).
% 0.20/0.51 ; 42 (17%) were retained. Of these,
% 0.20/0.51 ; 10 (24%) were simplified or subsumed later,
% 0.20/0.51 ; 32 (76%) 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 5% Read assertion file (1 call)
% 0.20/0.51 ; 0.000 0% Assert (10 calls)
% 0.20/0.51 ; 0.003 7% Process new row (189 calls)
% 0.20/0.51 ; 0.004 10% Resolution (54 calls)
% 0.20/0.51 ; 0.003 7% Paramodulation (27 calls)
% 0.20/0.51 ; 0.001 2% 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 ; 0.001 2% Forward simplification (176 calls)
% 0.20/0.51 ; 0.003 7% Backward simplification (42 calls)
% 0.20/0.51 ; 0.000 0% Ordering (148 calls)
% 0.20/0.51 ; 0.001 2% Sortal reasoning (32 calls)
% 0.20/0.51 ; 0.000 0% Purity testing (1 call)
% 0.20/0.51 ; 0.024 57% Other
% 0.20/0.51 ; 0.042 Total
% 0.20/0.51 ; 0.045 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 92 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 76 entries (77 at peak, 95 added, 19 deleted).
% 0.20/0.51 ; Path-index has 177 nodes (177 at peak, 180 added, 3 deleted).
% 0.20/0.51 ; Trie-index has 76 entries (77 at peak, 95 added, 19 deleted).
% 0.20/0.51 ; Trie-index has 242 nodes (245 at peak, 273 added, 31 deleted).
% 0.20/0.51 ; Retrieved 353 generalization terms in 412 calls.
% 0.20/0.51 ; Retrieved 111 instance terms in 38 calls.
% 0.20/0.51 ; Retrieved 736 unifiable terms in 292 calls.
% 0.20/0.51 ;
% 0.20/0.51 ; The agenda of rows to give has 11 entries:
% 0.20/0.51 ; 1 with value (4 17) 2 with value (4 19) 1 with value (4 21)
% 0.20/0.51 ; 1 with value (4 18) 4 with value (4 20) 2 with value (4 24)
% 0.20/0.51 Evaluation took:
% 0.20/0.51 0.045 seconds of real time
% 0.20/0.51 0.035203 seconds of user run time
% 0.20/0.51 0.009092 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 3,099,304 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T13:57:59
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 *
%------------------------------------------------------------------------------