TSTP Solution File: HEN005-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN005-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 13:02:23 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of clauses : 16 ( 13 unt; 0 nHn; 11 RR)
% Number of literals : 20 ( 8 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 13 ( 2 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_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(x_divide_zero_is_x,axiom,
divide(X,zero) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_zero_is_x) ).
cnf(a_LE_b,hypothesis,
less_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_LE_b) ).
cnf(b_LE_c,hypothesis,
less_equal(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_LE_c) ).
cnf(prove_a_LE_c,negated_conjecture,
~ less_equal(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_LE_c) ).
cnf(16,plain,
divide(b,c) = zero,
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal1,b_LE_c]) ).
cnf(17,plain,
divide(a,b) = zero,
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal1,a_LE_b]) ).
cnf(19,plain,
divide(a,c) != zero,
inference('UR-RESOLVE',[status(thm)],[quotient_less_equal2,prove_a_LE_c]) ).
cnf(25,plain,
less_equal(divide(X,c),divide(divide(X,b),c)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[quotient_property,16,theory(equality)]),x_divide_zero_is_x,theory(equality)]) ).
cnf(29,plain,
~ less_equal(divide(a,c),zero),
inference('UR-RESOLVE',[status(thm)],[less_equal_and_equal,19,zero_is_smallest]) ).
cnf(34,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[25,17,theory(equality)]),29,zero_divide_anything_is_zero,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN005-4 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n026.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 13:43:04 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T13:43:04
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-01T13:43:04
% 0.19/0.48
% 0.19/0.51 ; Recognized right identity assertion (= (|divide| ?X |zero|) ?X).
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 193 formulas have been input or derived (from 25 formulas).
% 0.19/0.51 ; 34 (18%) were retained. Of these,
% 0.19/0.51 ; 2 ( 6%) were simplified or subsumed later,
% 0.19/0.51 ; 32 (94%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.002 5% Read assertion file (1 call)
% 0.19/0.51 ; 0.001 3% Assert (14 calls)
% 0.19/0.51 ; 0.004 11% Process new row (158 calls)
% 0.19/0.51 ; 0.003 8% Resolution (48 calls)
% 0.19/0.51 ; 0.002 5% Paramodulation (24 calls)
% 0.19/0.51 ; 0.000 0% Condensing (4 calls)
% 0.19/0.51 ; 0.000 0% Forward subsumption (4 calls)
% 0.19/0.51 ; 0.000 0% Backward subsumption (4 calls)
% 0.19/0.51 ; 0.003 8% Forward simplification (156 calls)
% 0.19/0.51 ; 0.000 0% Backward simplification (34 calls)
% 0.19/0.51 ; 0.001 3% Ordering (116 calls)
% 0.19/0.51 ; 0.001 3% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.020 54% Other
% 0.19/0.51 ; 0.037 Total
% 0.19/0.51 ; 0.038 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 70 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 4 entries (4 at peak, 4 added, 0 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 13 nodes (13 at peak, 13 added, 0 deleted).
% 0.19/0.51 ; Retrieved 0 possibly forward subsuming rows in 4 calls.
% 0.19/0.51 ; Retrieved 0 possibly backward subsumed rows in 4 calls.
% 0.19/0.51 ; Path-index has 73 entries (74 at peak, 75 added, 2 deleted).
% 0.19/0.51 ; Path-index has 165 nodes (166 at peak, 166 added, 1 deleted).
% 0.19/0.51 ; Trie-index has 73 entries (74 at peak, 75 added, 2 deleted).
% 0.19/0.51 ; Trie-index has 204 nodes (207 at peak, 209 added, 5 deleted).
% 0.19/0.51 ; Retrieved 380 generalization terms in 313 calls.
% 0.19/0.51 ; Retrieved 61 instance terms in 29 calls.
% 0.19/0.51 ; Retrieved 665 unifiable terms in 222 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to process has 8 entries:
% 0.19/0.51 ; 2 with value 12 1 with value 15 1 with value 18
% 0.19/0.51 ; 3 with value 13 1 with value 16
% 0.19/0.51 ; The agenda of rows to give has 9 entries:
% 0.19/0.51 ; 5 with value (4 14) 1 with value (4 18) 1 with value (4 20)
% 0.19/0.51 ; 2 with value (4 17)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.039 seconds of real time
% 0.19/0.51 0.033241 seconds of user run time
% 0.19/0.51 0.005838 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 2,513,616 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T13:43:04
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------