TSTP Solution File: HEN010-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN010-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 13:02:33 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 20 ( 16 unt; 0 nHn; 5 RR)
% Number of literals : 25 ( 10 equ; 6 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
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(x_divide_x_is_zero,axiom,
divide(X,X) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
cnf(property_of_divide1,axiom,
( ~ less_equal(divide(X,Y),Z)
| less_equal(divide(X,Z),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide1) ).
cnf(property_of_divide2,axiom,
( ~ less_equal(X,Y)
| less_equal(divide(Z,Y),divide(Z,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide2) ).
cnf(one_inversion_equals_three,axiom,
divide(identity,divide(identity,divide(identity,X))) = divide(identity,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_inversion_equals_three) ).
cnf(prove_property_of_inversion,negated_conjecture,
divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_of_inversion) ).
cnf(19,plain,
less_equal(X,X),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal2,x_divide_x_is_zero]) ).
cnf(22,plain,
less_equal(divide(X,Y),divide(X,divide(Y,Z))),
inference('HYPERRESOLVE',[status(thm)],[property_of_divide2,quotient_smaller_than_numerator]) ).
cnf(41,plain,
less_equal(divide(X,divide(X,Y)),Y),
inference('HYPERRESOLVE',[status(thm)],[property_of_divide1,19]) ).
cnf(63,plain,
divide(X,divide(X,zero)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,41,zero_is_smallest]) ).
cnf(75,plain,
divide(divide(X,Y),Y) = divide(divide(X,Y),zero),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,22,quotient_property]),x_divide_x_is_zero,theory(equality)]) ).
cnf(84,plain,
less_equal(X,divide(X,zero)),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal2,63]) ).
cnf(87,plain,
X = divide(X,zero),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,84,quotient_smaller_than_numerator]) ).
cnf(90,plain,
divide(divide(X,Y),Y) = divide(X,Y),
inference('REWRITE',[status(thm)],[75,87,theory(equality)]) ).
cnf(104,plain,
divide(divide(identity,X),divide(identity,divide(identity,X))) = divide(identity,X),
inference('PARAMODULATE',[status(thm)],[90,one_inversion_equals_three,theory(equality)]) ).
cnf(105,plain,
$false,
inference('REWRITE',[status(thm)],[prove_property_of_inversion,104,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN010-6 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n027.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 14:37:37 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 2022-07-01T14:37:37
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-07-01T14:37:37
% 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 ; 613 formulas have been input or derived (from 39 formulas).
% 0.19/0.53 ; 105 (17%) were retained. Of these,
% 0.19/0.53 ; 37 (35%) were simplified or subsumed later,
% 0.19/0.53 ; 68 (65%) are still being kept.
% 0.19/0.53 ;
% 0.19/0.53 ; Run time in seconds excluding printing time:
% 0.19/0.53 ; 0.003 4% Read assertion file (1 call)
% 0.19/0.53 ; 0.001 1% Assert (16 calls)
% 0.19/0.53 ; 0.012 18% Process new row (531 calls)
% 0.19/0.53 ; 0.007 10% Resolution (76 calls)
% 0.19/0.53 ; 0.006 9% Paramodulation (38 calls)
% 0.19/0.53 ; 0.001 1% Condensing (16 calls)
% 0.19/0.53 ; 0.000 0% Forward subsumption (16 calls)
% 0.19/0.53 ; 0.001 1% Backward subsumption (15 calls)
% 0.19/0.53 ; 0.000 0% Clause clause subsumption (14 calls)
% 0.19/0.53 ; 0.005 7% Forward simplification (501 calls)
% 0.19/0.53 ; 0.004 6% Backward simplification (105 calls)
% 0.19/0.53 ; 0.001 1% Ordering (306 calls)
% 0.19/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.53 ; 0.000 0% Purity testing (1 call)
% 0.19/0.53 ; 0.027 40% Other
% 0.19/0.53 ; 0.068 Total
% 0.19/0.53 ; 0.071 Real time
% 0.19/0.53 ;
% 0.19/0.53 ; Term-hash-array has 221 terms in all.
% 0.19/0.53 ; Feature-vector-row-index has 11 entries (11 at peak, 15 added, 4 deleted).
% 0.19/0.53 ; Feature-vector-row-index has 34 nodes (47 at peak, 56 added, 22 deleted).
% 0.19/0.53 ; Retrieved 9 possibly forward subsuming rows in 16 calls.
% 0.19/0.53 ; Retrieved 6 possibly backward subsumed rows in 15 calls.
% 0.19/0.53 ; Path-index has 149 entries (173 at peak, 229 added, 80 deleted).
% 0.19/0.53 ; Path-index has 222 nodes (261 at peak, 274 added, 52 deleted).
% 0.19/0.53 ; Trie-index has 149 entries (173 at peak, 229 added, 80 deleted).
% 0.19/0.53 ; Trie-index has 425 nodes (516 at peak, 655 added, 230 deleted).
% 0.19/0.53 ; Retrieved 1,760 generalization terms in 1,219 calls.
% 0.19/0.53 ; Retrieved 271 instance terms in 91 calls.
% 0.19/0.53 ; Retrieved 2,500 unifiable terms in 416 calls.
% 0.19/0.53 ;
% 0.19/0.53 ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.19/0.53 ; 1 with value 0
% 0.19/0.53 ; The agenda of rows to process has 3 entries:
% 0.19/0.53 ; 3 with value 22
% 0.19/0.53 ; The agenda of rows to give has 41 entries:
% 0.19/0.53 ; 1 with value (4 14) 6 with value (4 17) 8 with value (4 20)
% 0.19/0.53 ; 2 with value (4 15) 11 with value (4 18) 3 with value (4 22)
% 0.19/0.53 ; 5 with value (4 16) 4 with value (4 19) 1 with value (4 27)
% 0.19/0.53 Evaluation took:
% 0.19/0.53 0.072 seconds of real time
% 0.19/0.53 0.056374 seconds of user run time
% 0.19/0.53 0.015021 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 4,159,832 bytes consed.
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T14:37:38
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 *
%------------------------------------------------------------------------------