TSTP Solution File: HEN010-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN010-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 0.52s
% 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(20,plain,
less_equal(X,X),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal2,x_divide_x_is_zero]) ).
cnf(24,plain,
less_equal(divide(X,Y),divide(X,divide(Y,Z))),
inference('HYPERRESOLVE',[status(thm)],[property_of_divide2,quotient_smaller_than_numerator]) ).
cnf(46,plain,
less_equal(divide(X,divide(X,Y)),Y),
inference('HYPERRESOLVE',[status(thm)],[property_of_divide1,20]) ).
cnf(79,plain,
divide(X,divide(X,zero)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,46,zero_is_smallest]) ).
cnf(109,plain,
divide(divide(X,Y),Y) = divide(divide(X,Y),zero),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,24,quotient_property]),x_divide_x_is_zero,theory(equality)]) ).
cnf(127,plain,
less_equal(X,divide(X,zero)),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal2,79]) ).
cnf(129,plain,
X = divide(X,zero),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,127,quotient_smaller_than_numerator]) ).
cnf(132,plain,
divide(divide(X,Y),Y) = divide(X,Y),
inference('REWRITE',[status(thm)],[109,129,theory(equality)]) ).
cnf(176,plain,
divide(divide(identity,X),divide(identity,divide(identity,X))) = divide(identity,X),
inference('PARAMODULATE',[status(thm)],[132,one_inversion_equals_three,theory(equality)]) ).
cnf(177,plain,
$false,
inference('REWRITE',[status(thm)],[prove_property_of_inversion,176,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : HEN010-4 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.11/0.33 % Computer : n025.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Fri Jul 1 14:40:39 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 *
% 0.19/0.44 *
% 0.19/0.45 #<PACKAGE "SNARK-USER">
% 0.19/0.45 *
% 0.19/0.45 SNARK-TPTP-OPTIONS
% 0.19/0.45 *
% 0.19/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.45 (USE-FACTORING :POS)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.45 *
% 0.19/0.45 "."
% 0.19/0.45 *
% 0.19/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T14:40:39
% 0.19/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-07-01T14:40:39
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 #||
% 0.19/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52 % SZS output start Refutation
% See solution above
% 0.19/0.52 ||#
% 0.19/0.52
% 0.19/0.52 ; Summary of computation:
% 0.19/0.52 ; 1145 formulas have been input or derived (from 42 formulas).
% 0.19/0.52 ; 177 (15%) were retained. Of these,
% 0.19/0.52 ; 42 (24%) were simplified or subsumed later,
% 0.19/0.52 ; 135 (76%) are still being kept.
% 0.19/0.52 ;
% 0.19/0.52 ; Run time in seconds excluding printing time:
% 0.19/0.52 ; 0.003 4% Read assertion file (1 call)
% 0.19/0.52 ; 0.000 0% Assert (17 calls)
% 0.19/0.52 ; 0.015 21% Process new row (996 calls)
% 0.19/0.52 ; 0.012 17% Resolution (82 calls)
% 0.19/0.52 ; 0.006 8% Paramodulation (41 calls)
% 0.19/0.52 ; 0.000 0% Condensing (17 calls)
% 0.19/0.52 ; 0.000 0% Forward subsumption (17 calls)
% 0.19/0.52 ; 0.001 1% Backward subsumption (16 calls)
% 0.19/0.52 ; 0.001 1% Clause clause subsumption (14 calls)
% 0.19/0.52 ; 0.009 13% Forward simplification (926 calls)
% 0.19/0.52 ; 0.004 6% Backward simplification (177 calls)
% 0.19/0.52 ; 0.000 0% Ordering (336 calls)
% 0.19/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.52 ; 0.000 0% Purity testing (1 call)
% 0.19/0.52 ; 0.020 28% Other
% 0.19/0.52 ; 0.071 Total
% 0.19/0.52 ; 0.072 Real time
% 0.19/0.52 ;
% 0.19/0.52 ; Term-hash-array has 368 terms in all.
% 0.19/0.52 ; Feature-vector-row-index has 12 entries (12 at peak, 16 added, 4 deleted).
% 0.19/0.52 ; Feature-vector-row-index has 35 nodes (48 at peak, 57 added, 22 deleted).
% 0.19/0.52 ; Retrieved 9 possibly forward subsuming rows in 17 calls.
% 0.19/0.52 ; Retrieved 6 possibly backward subsumed rows in 16 calls.
% 0.19/0.52 ; Path-index has 294 entries (299 at peak, 374 added, 80 deleted).
% 0.19/0.52 ; Path-index has 254 nodes (281 at peak, 294 added, 40 deleted).
% 0.19/0.52 ; Trie-index has 294 entries (299 at peak, 374 added, 80 deleted).
% 0.19/0.52 ; Trie-index has 735 nodes (763 at peak, 938 added, 203 deleted).
% 0.19/0.52 ; Retrieved 3,537 generalization terms in 2,112 calls.
% 0.19/0.52 ; Retrieved 451 instance terms in 162 calls.
% 0.19/0.52 ; Retrieved 7,698 unifiable terms in 793 calls.
% 0.19/0.52 ;
% 0.19/0.52 ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.19/0.52 ; 1 with value 0
% 0.19/0.52 ; The agenda of rows to process has 3 entries:
% 0.19/0.52 ; 3 with value 22
% 0.19/0.52 ; The agenda of rows to give has 105 entries:
% 0.19/0.52 ; 1 with value (4 14) 13 with value (4 19) 3 with value (4 23)
% 0.19/0.52 ; 3 with value (4 15) 21 with value (4 20) 1 with value (4 24)
% 0.19/0.52 ; 11 with value (4 16) 12 with value (4 21) 3 with value (4 25)
% 0.19/0.52 ; 12 with value (4 17) 6 with value (4 22) 2 with value (4 27)
% 0.19/0.52 ; 17 with value (4 18)
% 0.19/0.52 Evaluation took:
% 0.19/0.52 0.074 seconds of real time
% 0.19/0.52 0.063755 seconds of user run time
% 0.19/0.52 0.009863 seconds of system run time
% 0.19/0.52 0 calls to %EVAL
% 0.19/0.52 0 page faults and
% 0.19/0.52 5,421,448 bytes consed.
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T14:40:39
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 *
%------------------------------------------------------------------------------