TSTP Solution File: NUM027-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM027-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 : Mon Jul 18 14:06:12 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 15 ( 9 unt; 3 nHn; 12 RR)
% Number of literals : 24 ( 0 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(transitivity_of_less,axiom,
( ~ less(X,Y)
| ~ less(Z,X)
| less(Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM001-1.ax',transitivity_of_less) ).
cnf(equality_preserved_over_times,axiom,
( ~ equalish(X,Y)
| equalish(multiply(X,Z),multiply(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equality_preserved_over_times) ).
cnf(not_less_and_equal,axiom,
( ~ less(X,Y)
| ~ equalish(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_and_equal) ).
cnf(numbers_either_less_or_equal,axiom,
( less(X,Y)
| equalish(X,Y)
| less(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',numbers_either_less_or_equal) ).
cnf(number_not_less_than_itself,axiom,
~ less(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',number_not_less_than_itself) ).
cnf(multiply_lemma,axiom,
( ~ less(X,Y)
| equalish(Z,n0)
| less(multiply(X,Z),multiply(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_lemma) ).
cnf(b_not_less_than_a,hypothesis,
~ less(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_not_less_than_a) ).
cnf(b_times_c_less_than_a_times_c,hypothesis,
less(multiply(b,c),multiply(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_times_c_less_than_a_times_c) ).
cnf(prove_c_is_0,negated_conjecture,
~ equalish(c,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_is_0) ).
cnf(25,plain,
~ equalish(multiply(b,c),multiply(a,c)),
inference('UR-RESOLVE',[status(thm)],[not_less_and_equal,b_times_c_less_than_a_times_c]) ).
cnf(33,plain,
~ less(multiply(a,c),multiply(b,c)),
inference('UR-RESOLVE',[status(thm)],[transitivity_of_less,b_times_c_less_than_a_times_c,number_not_less_than_itself]) ).
cnf(47,plain,
( equalish(b,a)
| less(a,b) ),
inference('HYPERRESOLVE',[status(thm)],[b_not_less_than_a,numbers_either_less_or_equal]) ).
cnf(113,plain,
~ equalish(b,a),
inference('UR-RESOLVE',[status(thm)],[equality_preserved_over_times,25]) ).
cnf(114,plain,
less(a,b),
inference('REWRITE',[status(thm)],[47,113]) ).
cnf(124,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[multiply_lemma,114,prove_c_is_0]),33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM027-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jul 6 13:50:22 EDT 2022
% 0.12/0.34 % 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 2022-07-06T13:50:22
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-06T13:50:22
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (OR (NOT (|equalish| ?X ?Y)) (|equalish| ?Y ?X)).
% 0.19/0.53 ; Declaring equalish to be commutative.
% 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
% 0.19/0.54 ||#
% 0.19/0.54
% 0.19/0.54 ; Summary of computation:
% 0.19/0.54 ; 484 formulas have been input or derived (from 36 formulas).
% 0.19/0.54 ; 124 (26%) were retained. Of these,
% 0.19/0.54 ; 6 ( 5%) were simplified or subsumed later,
% 0.19/0.54 ; 118 (95%) are still being kept.
% 0.19/0.54 ;
% 0.19/0.54 ; Run time in seconds excluding printing time:
% 0.19/0.54 ; 0.004 6% Read assertion file (1 call)
% 0.19/0.54 ; 0.001 1% Assert (21 calls)
% 0.19/0.54 ; 0.014 21% Process new row (344 calls)
% 0.19/0.54 ; 0.009 13% Resolution (70 calls)
% 0.19/0.54 ; 0.000 0% Paramodulation (35 calls)
% 0.19/0.54 ; 0.000 0% Factoring (2 calls)
% 0.19/0.54 ; 0.001 1% Condensing (42 calls)
% 0.19/0.54 ; 0.001 1% Forward subsumption (42 calls)
% 0.19/0.54 ; 0.001 1% Backward subsumption (27 calls)
% 0.19/0.54 ; 0.002 3% Clause clause subsumption (25 calls)
% 0.19/0.54 ; 0.005 7% Forward simplification (344 calls)
% 0.19/0.54 ; 0.003 4% Backward simplification (124 calls)
% 0.19/0.54 ; 0.000 0% Ordering (136 calls)
% 0.19/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.54 ; 0.000 0% Purity testing (1 call)
% 0.19/0.54 ; 0.026 39% Other
% 0.19/0.54 ; 0.067 Total
% 0.19/0.54 ; 0.069 Real time
% 0.19/0.54 ;
% 0.19/0.54 ; Term-hash-array has 227 terms in all.
% 0.19/0.54 ; Feature-vector-row-index has 22 entries (24 at peak, 27 added, 5 deleted).
% 0.19/0.54 ; Feature-vector-row-index has 100 nodes (129 at peak, 141 added, 41 deleted).
% 0.19/0.54 ; Retrieved 39 possibly forward subsuming rows in 42 calls.
% 0.19/0.54 ; Retrieved 0 possibly backward subsumed rows in 27 calls.
% 0.19/0.54 ; Path-index has 230 entries (230 at peak, 244 added, 14 deleted).
% 0.19/0.54 ; Path-index has 498 nodes (498 at peak, 510 added, 12 deleted).
% 0.19/0.54 ; Trie-index has 230 entries (230 at peak, 244 added, 14 deleted).
% 0.19/0.54 ; Trie-index has 747 nodes (747 at peak, 774 added, 27 deleted).
% 0.19/0.54 ; Retrieved 599 generalization terms in 450 calls.
% 0.19/0.54 ; Retrieved 120 instance terms in 96 calls.
% 0.19/0.54 ; Retrieved 3,872 unifiable terms in 572 calls.
% 0.19/0.54 ;
% 0.19/0.54 ; The agenda of rows to process has 9 entries:
% 0.19/0.54 ; 7 with value 14 1 with value 15 1 with value 16
% 0.19/0.54 ; The agenda of rows to give has 83 entries:
% 0.19/0.54 ; 1 with value (4 6) 17 with value (4 13) 2 with value (4 18)
% 0.19/0.54 ; 2 with value (4 9) 10 with value (4 14) 3 with value (4 19)
% 0.19/0.54 ; 10 with value (4 10) 3 with value (4 15) 1 with value (4 20)
% 0.19/0.54 ; 7 with value (4 11) 4 with value (4 16) 2 with value (4 21)
% 0.19/0.54 ; 10 with value (4 12) 7 with value (4 17) 4 with value (4 22)
% 0.19/0.54 Evaluation took:
% 0.19/0.54 0.07 seconds of real time
% 0.19/0.54 0.06472 seconds of user run time
% 0.19/0.54 0.005066 seconds of system run time
% 0.19/0.54 0 calls to %EVAL
% 0.19/0.54 0 page faults and
% 0.19/0.54 3,971,312 bytes consed.
% 0.19/0.54 :PROOF-FOUND
% 0.19/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T13:50:22
% 0.19/0.54 :PROOF-FOUND
% 0.19/0.54 *
%------------------------------------------------------------------------------