TSTP Solution File: HEN007-5 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN007-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 13:02:27 EDT 2022
% Result : Unsatisfiable 0.39s 0.58s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 11 unt; 0 nHn; 7 RR)
% Number of literals : 17 ( 16 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quotient_smaller_than_numerator,axiom,
divide(divide(X,Y),X) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',quotient_smaller_than_numerator) ).
cnf(quotient_property,axiom,
divide(divide(divide(X,Y),divide(Z,Y)),divide(divide(X,Z),Y)) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',quotient_property) ).
cnf(zero_is_smallest,axiom,
divide(zero,X) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',zero_is_smallest) ).
cnf(divide_and_equal,axiom,
( divide(X,Y) != zero
| divide(Y,X) != zero
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',divide_and_equal) ).
cnf(transitivity_of_divide_to_zero,axiom,
( divide(X,Y) != zero
| divide(Y,Z) != zero
| divide(X,Z) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_divide_to_zero) ).
cnf(a_divide_b_is_zero,hypothesis,
divide(a,b) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_divide_b_is_zero) ).
cnf(prove_property_of_divide2,negated_conjecture,
divide(divide(c,b),divide(c,a)) != zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_of_divide2) ).
cnf(9,plain,
divide(divide(divide(c,b),divide(c,a)),zero) != zero,
inference('UR-RESOLVE',[status(thm)],[divide_and_equal,zero_is_smallest,prove_property_of_divide2]) ).
cnf(15,plain,
divide(divide(divide(X,b),zero),divide(divide(X,a),b)) = zero,
inference('PARAMODULATE',[status(thm)],[quotient_property,a_divide_b_is_zero,theory(equality)]) ).
cnf(86,plain,
divide(divide(divide(divide(c,b),divide(c,a)),zero),zero) != zero,
inference('UR-RESOLVE',[status(thm)],[divide_and_equal,9,zero_is_smallest]) ).
cnf(125,plain,
divide(divide(divide(X,b),zero),divide(X,a)) = zero,
inference('HYPERRESOLVE',[status(thm)],[transitivity_of_divide_to_zero,15,quotient_smaller_than_numerator]) ).
cnf(155,plain,
divide(divide(divide(divide(X,b),divide(X,a)),zero),zero) = zero,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[quotient_property,125,theory(equality)]),zero_is_smallest,theory(equality)]) ).
cnf(156,plain,
$false,
inference('REWRITE',[status(thm)],[86,155,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : HEN007-5 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n007.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 14:24:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.20/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 *
% 0.20/0.45 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-01T14:24:09
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-01T14:24:09
% 0.39/0.58
% 0.39/0.58
% 0.39/0.58 #||
% 0.39/0.58 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.58 % SZS output start Refutation
% See solution above
% 0.39/0.58 ||#
% 0.39/0.58
% 0.39/0.58 ; Summary of computation:
% 0.39/0.58 ; 1209 formulas have been input or derived (from 54 formulas).
% 0.39/0.58 ; 156 (13%) were retained. Of these,
% 0.39/0.58 ; 6 ( 4%) were simplified or subsumed later,
% 0.39/0.58 ; 150 (96%) are still being kept.
% 0.39/0.58 ;
% 0.39/0.58 ; Run time in seconds excluding printing time:
% 0.39/0.58 ; 0.002 2% Read assertion file (1 call)
% 0.39/0.58 ; 0.000 0% Assert (8 calls)
% 0.39/0.58 ; 0.015 13% Process new row (929 calls)
% 0.39/0.58 ; 0.026 22% Resolution (106 calls)
% 0.39/0.58 ; 0.013 11% Paramodulation (53 calls)
% 0.39/0.58 ; 0.002 2% Condensing (49 calls)
% 0.39/0.58 ; 0.001 1% Forward subsumption (49 calls)
% 0.39/0.58 ; 0.000 0% Backward subsumption (33 calls)
% 0.39/0.58 ; 0.001 1% Clause clause subsumption (86 calls)
% 0.39/0.58 ; 0.018 15% Forward simplification (696 calls)
% 0.39/0.58 ; 0.006 5% Backward simplification (156 calls)
% 0.39/0.58 ; 0.002 2% Ordering (629 calls)
% 0.39/0.58 ; 0.000 0% Sortal reasoning (32 calls)
% 0.39/0.58 ; 0.000 0% Purity testing (1 call)
% 0.39/0.58 ; 0.032 27% Other
% 0.39/0.58 ; 0.118 Total
% 0.39/0.58 ; 0.119 Real time
% 0.39/0.58 ;
% 0.39/0.58 ; Term-hash-array has 430 terms in all.
% 0.39/0.58 ; Feature-vector-row-index has 33 entries (33 at peak, 33 added, 0 deleted).
% 0.39/0.58 ; Feature-vector-row-index has 261 nodes (261 at peak, 261 added, 0 deleted).
% 0.39/0.58 ; Retrieved 108 possibly forward subsuming rows in 49 calls.
% 0.39/0.58 ; Retrieved 7 possibly backward subsumed rows in 33 calls.
% 0.39/0.58 ; Path-index has 423 entries (425 at peak, 435 added, 12 deleted).
% 0.39/0.58 ; Path-index has 387 nodes (387 at peak, 389 added, 2 deleted).
% 0.39/0.58 ; Trie-index has 423 entries (425 at peak, 435 added, 12 deleted).
% 0.39/0.58 ; Trie-index has 1,555 nodes (1,566 at peak, 1,592 added, 37 deleted).
% 0.39/0.58 ; Retrieved 2,371 generalization terms in 2,599 calls.
% 0.39/0.58 ; Retrieved 437 instance terms in 122 calls.
% 0.39/0.58 ; Retrieved 13,526 unifiable terms in 1,102 calls.
% 0.39/0.58 ;
% 0.39/0.58 ; The agenda of rows to process has 7 entries:
% 0.39/0.58 ; 1 with value 26 4 with value 30 1 with value 34
% 0.39/0.58 ; 1 with value 28
% 0.39/0.58 ; The agenda of rows to give has 101 entries:
% 0.39/0.58 ; 1 with value (4 17) 16 with value (4 23) 2 with value (4 29)
% 0.39/0.58 ; 15 with value (4 18) 4 with value (4 24) 1 with value (4 30)
% 0.39/0.58 ; 16 with value (4 19) 5 with value (4 25) 2 with value (4 33)
% 0.39/0.58 ; 9 with value (4 20) 2 with value (4 26) 1 with value (4 34)
% 0.39/0.58 ; 10 with value (4 21) 4 with value (4 27) 1 with value (4 36)
% 0.39/0.58 ; 9 with value (4 22) 3 with value (4 28)
% 0.39/0.58 Evaluation took:
% 0.39/0.58 0.12 seconds of real time
% 0.39/0.58 0.106219 seconds of user run time
% 0.39/0.58 0.013832 seconds of system run time
% 0.39/0.58 0 calls to %EVAL
% 0.39/0.58 0 page faults and
% 0.39/0.58 5,994,272 bytes consed.
% 0.39/0.58 :PROOF-FOUND
% 0.39/0.58 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-01T14:24:09
% 0.39/0.58 :PROOF-FOUND
% 0.39/0.58 *
%------------------------------------------------------------------------------