TSTP Solution File: HEN004-5 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN004-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 11 unt; 0 nHn; 6 RR)
% Number of literals : 14 ( 13 equ; 6 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 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(x_divide_x_is_zero,axiom,
divide(X,X) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
cnf(prove_x_divide_zero_is_x,negated_conjecture,
divide(a,zero) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_x_divide_zero_is_x) ).
cnf(8,plain,
divide(a,divide(a,zero)) != zero,
inference('UR-RESOLVE',[status(thm)],[divide_and_equal,quotient_smaller_than_numerator,prove_x_divide_zero_is_x]) ).
cnf(12,plain,
divide(divide(divide(X,Y),zero),divide(divide(X,zero),Y)) = zero,
inference('PARAMODULATE',[status(thm)],[quotient_property,zero_is_smallest,theory(equality)]) ).
cnf(22,plain,
divide(divide(a,divide(a,zero)),zero) != zero,
inference('UR-RESOLVE',[status(thm)],[divide_and_equal,8,zero_is_smallest]) ).
cnf(23,plain,
divide(divide(divide(a,divide(a,zero)),zero),zero) != zero,
inference('UR-RESOLVE',[status(thm)],[divide_and_equal,22,zero_is_smallest]) ).
cnf(29,plain,
divide(divide(divide(X,divide(X,zero)),zero),zero) = zero,
inference('PARAMODULATE',[status(thm)],[12,x_divide_x_is_zero,theory(equality)]) ).
cnf(30,plain,
$false,
inference('REWRITE',[status(thm)],[23,29,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : HEN004-5 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 1 14:02:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-01T14:02:58
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-01T14:02:58
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 #||
% 0.19/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/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 ; 193 formulas have been input or derived (from 16 formulas).
% 0.19/0.52 ; 30 (16%) were retained. Of these,
% 0.19/0.52 ; 2 ( 7%) were simplified or subsumed later,
% 0.19/0.52 ; 28 (93%) are still being kept.
% 0.19/0.52 ;
% 0.19/0.52 ; Run time in seconds excluding printing time:
% 0.19/0.52 ; 0.002 5% Read assertion file (1 call)
% 0.19/0.52 ; 0.001 2% Assert (7 calls)
% 0.19/0.52 ; 0.006 15% Process new row (136 calls)
% 0.19/0.52 ; 0.001 2% Resolution (30 calls)
% 0.19/0.52 ; 0.003 7% Paramodulation (15 calls)
% 0.19/0.52 ; 0.000 0% Condensing (14 calls)
% 0.19/0.52 ; 0.000 0% Forward subsumption (14 calls)
% 0.19/0.52 ; 0.000 0% Backward subsumption (6 calls)
% 0.19/0.52 ; 0.000 0% Clause clause subsumption (10 calls)
% 0.19/0.52 ; 0.002 5% Forward simplification (124 calls)
% 0.19/0.52 ; 0.001 2% Backward simplification (30 calls)
% 0.19/0.52 ; 0.001 2% Ordering (189 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 ; 0.024 59% Other
% 0.19/0.52 ; 0.041 Total
% 0.19/0.52 ; 0.043 Real time
% 0.19/0.52 ;
% 0.19/0.52 ; Term-hash-array has 106 terms in all.
% 0.19/0.52 ; Feature-vector-row-index has 6 entries (6 at peak, 6 added, 0 deleted).
% 0.19/0.52 ; Feature-vector-row-index has 37 nodes (37 at peak, 37 added, 0 deleted).
% 0.19/0.52 ; Retrieved 13 possibly forward subsuming rows in 14 calls.
% 0.19/0.52 ; Retrieved 0 possibly backward subsumed rows in 6 calls.
% 0.19/0.52 ; Path-index has 105 entries (107 at peak, 109 added, 4 deleted).
% 0.19/0.52 ; Path-index has 254 nodes (258 at peak, 260 added, 6 deleted).
% 0.19/0.52 ; Trie-index has 105 entries (107 at peak, 109 added, 4 deleted).
% 0.19/0.52 ; Trie-index has 447 nodes (460 at peak, 467 added, 20 deleted).
% 0.19/0.52 ; Retrieved 354 generalization terms in 366 calls.
% 0.19/0.52 ; Retrieved 35 instance terms in 23 calls.
% 0.19/0.52 ; Retrieved 788 unifiable terms in 175 calls.
% 0.19/0.52 ;
% 0.19/0.52 ; The agenda of rows to process has 15 entries:
% 0.19/0.52 ; 2 with value 19 1 with value 25 2 with value 33
% 0.19/0.52 ; 3 with value 20 1 with value 27 1 with value 37
% 0.19/0.52 ; 2 with value 23 3 with value 29
% 0.19/0.52 ; The agenda of rows to give has 13 entries:
% 0.19/0.52 ; 2 with value (4 18) 1 with value (4 24) 1 with value (4 30)
% 0.19/0.52 ; 1 with value (4 19) 1 with value (4 27) 1 with value (4 34)
% 0.19/0.52 ; 2 with value (4 21) 1 with value (4 28) 1 with value (4 36)
% 0.19/0.52 ; 2 with value (4 23)
% 0.19/0.52 Evaluation took:
% 0.19/0.52 0.043 seconds of real time
% 0.19/0.52 0.034969 seconds of user run time
% 0.19/0.52 0.008059 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 2,558,792 bytes consed.
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-01T14:02:58
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 *
%------------------------------------------------------------------------------