%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM022-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 14:06:10 EDT 2022
% Result : Unsatisfiable 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 9 unt; 1 nHn; 14 RR)
% Number of literals : 22 ( 0 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 3 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(smaller_number,axiom,
( ~ equalish(add(successor(X),Y),Z)
| less(Y,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM001-1.ax',smaller_number) ).
cnf(less_lemma,axiom,
( ~ less(X,Y)
| equalish(add(successor(predecessor_of_1st_minus_2nd(Y,X)),X),Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM001-1.ax',less_lemma) ).
cnf(divides_only_less_or_equal,axiom,
( ~ divides(X,Y)
| less(X,Y)
| equalish(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM001-2.ax',divides_only_less_or_equal) ).
cnf(transitivity,axiom,
( ~ equalish(X,Y)
| ~ equalish(Z,X)
| equalish(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
cnf(a_less_than_b,hypothesis,
less(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_less_than_b) ).
cnf(b_divides_d,hypothesis,
divides(b,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_divides_d) ).
cnf(prove_a_less_than_d,negated_conjecture,
~ less(a,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_less_than_d) ).
cnf(12,plain,
~ less(b,d),
inference('UR-RESOLVE',[status(thm)],[transitivity_of_less,a_less_than_b,prove_a_less_than_d]) ).
cnf(13,plain,
equalish(b,d),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[divides_only_less_or_equal,b_divides_d]),12]) ).
cnf(14,plain,
~ equalish(add(successor(X),a),d),
inference('UR-RESOLVE',[status(thm)],[smaller_number,prove_a_less_than_d]) ).
cnf(15,plain,
equalish(add(successor(predecessor_of_1st_minus_2nd(b,a)),a),b),
inference('HYPERRESOLVE',[status(thm)],[less_lemma,a_less_than_b]) ).
cnf(17,plain,
~ equalish(add(successor(X),a),b),
inference('UR-RESOLVE',[status(thm)],[transitivity,14,13]) ).
cnf(18,plain,
$false,
inference('REWRITE',[status(thm)],[15,17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM022-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.11 % Command : run-snark %s %d
% 0.12/0.32 % Computer : n012.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Wed Jul 6 00:09:45 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.18/0.43 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 *
% 0.18/0.44 *
% 0.18/0.44 #<PACKAGE "SNARK-USER">
% 0.18/0.44 *
% 0.18/0.44 SNARK-TPTP-OPTIONS
% 0.18/0.44 *
% 0.18/0.44 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.44 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.44 (USE-FACTORING :POS)
% 0.18/0.44 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.44 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.44 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.44 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.44 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.44 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.44 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.44 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.44 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.44 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.44 *
% 0.18/0.44 "."
% 0.18/0.44 *
% 0.18/0.44 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T00:09:45
% 0.18/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-06T00:09:45
% 0.18/0.47
% 0.18/0.47
% 0.18/0.47 #||
% 0.18/0.47 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47 % SZS output start Refutation
% See solution above
% 0.18/0.47 ||#
% 0.18/0.47
% 0.18/0.47 ; Summary of computation:
% 0.18/0.48 ; 25 formulas have been input or derived (from 15 formulas).
% 0.18/0.48 ; 18 (72%) were retained. Of these,
% 0.18/0.48 ; 1 ( 6%) were simplified or subsumed later,
% 0.18/0.48 ; 17 (94%) are still being kept.
% 0.18/0.48 ;
% 0.18/0.48 ; Run time in seconds excluding printing time:
% 0.18/0.48 ; 0.003 11% Read assertion file (1 call)
% 0.18/0.48 ; 0.000 0% Assert (10 calls)
% 0.18/0.48 ; 0.002 7% Process new row (22 calls)
% 0.18/0.48 ; 0.001 4% Resolution (28 calls)
% 0.18/0.48 ; 0.000 0% Paramodulation (14 calls)
% 0.18/0.48 ; 0.000 0% Condensing (7 calls)
% 0.18/0.48 ; 0.000 0% Forward subsumption (7 calls)
% 0.18/0.48 ; 0.000 0% Backward subsumption (7 calls)
% 0.18/0.48 ; 0.001 4% Forward simplification (22 calls)
% 0.18/0.48 ; 0.000 0% Backward simplification (18 calls)
% 0.18/0.48 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.48 ; 0.000 0% Purity testing (1 call)
% 0.18/0.48 ; 0.021 75% Other
% 0.18/0.48 ; 0.028 Total
% 0.18/0.48 ; 0.031 Real time
% 0.18/0.48 ;
% 0.18/0.48 ; Term-hash-array has 30 terms in all.
% 0.18/0.48 ; Feature-vector-row-index has 7 entries (7 at peak, 7 added, 0 deleted).
% 0.18/0.48 ; Feature-vector-row-index has 22 nodes (22 at peak, 22 added, 0 deleted).
% 0.18/0.48 ; Retrieved 0 possibly forward subsuming rows in 7 calls.
% 0.18/0.48 ; Retrieved 0 possibly backward subsumed rows in 7 calls.
% 0.18/0.48 ; Path-index has 29 entries (33 at peak, 33 added, 4 deleted).
% 0.18/0.48 ; Path-index has 68 nodes (76 at peak, 76 added, 8 deleted).
% 0.18/0.48 ; Trie-index has 29 entries (33 at peak, 33 added, 4 deleted).
% 0.18/0.48 ; Trie-index has 57 nodes (68 at peak, 68 added, 11 deleted).
% 0.18/0.48 ; Retrieved 5 generalization terms in 13 calls.
% 0.18/0.48 ; Retrieved 11 instance terms in 10 calls.
% 0.18/0.48 ; Retrieved 202 unifiable terms in 92 calls.
% 0.18/0.48 ;
% 0.18/0.48 ; The agenda of rows to give has 2 entries:
% 0.18/0.48 ; 2 with value (4 11)
% 0.18/0.48 Evaluation took:
% 0.18/0.48 0.032 seconds of real time
% 0.18/0.48 0.024149 seconds of user run time
% 0.18/0.48 0.007041 seconds of system run time
% 0.18/0.48 0 calls to %EVAL
% 0.18/0.48 0 page faults and
% 0.18/0.48 2,136,704 bytes consed.
% 0.18/0.48 :PROOF-FOUND
% 0.18/0.48 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T00:09:45
% 0.18/0.48 :PROOF-FOUND
% 0.18/0.48 *
%------------------------------------------------------------------------------