TSTP Solution File: NUM024-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM024-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 14:06:11 EDT 2022
% Result : Unsatisfiable 0.45s 0.61s
% Output : Refutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 9 unt; 0 nHn; 9 RR)
% Number of literals : 16 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(adding_zero,axiom,
equalish(add(X,n0),X),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM001-0.ax',adding_zero) ).
cnf(less_lemma,axiom,
( ~ less(X,Y)
| equalish(add(successor(predecessor_of_1st_minus_2nd(Y,X)),X),Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM001-1.ax',less_lemma) ).
cnf(transitivity,axiom,
( ~ equalish(X,Y)
| ~ equalish(Y,Z)
| equalish(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
cnf(plus_substitution,axiom,
( ~ equalish(add(X,Y),add(Z,Y))
| equalish(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_substitution) ).
cnf(commutativity_of_plus,axiom,
equalish(add(X,Y),add(Y,X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_plus) ).
cnf(impossible_a_is_less_than_itself,hypothesis,
less(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impossible_a_is_less_than_itself) ).
cnf(prove_a_contradiction,negated_conjecture,
~ equalish(successor(X),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_contradiction) ).
cnf(21,plain,
equalish(X,add(n0,X)),
inference('HYPERRESOLVE',[status(thm)],[transitivity,adding_zero,commutativity_of_plus]) ).
cnf(45,plain,
~ equalish(add(successor(X),Y),add(n0,Y)),
inference('UR-RESOLVE',[status(thm)],[plus_substitution,prove_a_contradiction]) ).
cnf(46,plain,
equalish(add(successor(predecessor_of_1st_minus_2nd(a,a)),a),a),
inference('HYPERRESOLVE',[status(thm)],[less_lemma,impossible_a_is_less_than_itself]) ).
cnf(180,plain,
~ equalish(add(successor(X),Y),Y),
inference('UR-RESOLVE',[status(thm)],[transitivity,45,21]) ).
cnf(181,plain,
$false,
inference('REWRITE',[status(thm)],[46,180]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : NUM024-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.08/0.15 % Command : run-snark %s %d
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Wed Jul 6 08:14:37 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.50 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.51 *
% 0.22/0.51 *
% 0.22/0.51 #<PACKAGE "SNARK-USER">
% 0.22/0.51 *
% 0.22/0.51 SNARK-TPTP-OPTIONS
% 0.22/0.51 *
% 0.22/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51 (USE-FACTORING :POS)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.51 *
% 0.22/0.51 "."
% 0.22/0.51 *
% 0.22/0.51 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-06T08:14:38
% 0.22/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-06T08:14:38
% 0.22/0.53
% 0.22/0.53 ; Recognized commutativity assertion (OR (NOT (|equalish| ?X ?Y)) (|equalish| ?Y ?X)).
% 0.45/0.61 ; Declaring equalish to be commutative.
% 0.45/0.61
% 0.45/0.61 #||
% 0.45/0.61 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/0.61 % SZS output start Refutation
% See solution above
% 0.45/0.61 ||#
% 0.45/0.61
% 0.45/0.61 ; Summary of computation:
% 0.45/0.61 ; 1354 formulas have been input or derived (from 38 formulas).
% 0.45/0.61 ; 181 (13%) were retained. Of these,
% 0.45/0.61 ; 12 ( 7%) were simplified or subsumed later,
% 0.45/0.61 ; 169 (93%) are still being kept.
% 0.45/0.61 ;
% 0.45/0.61 ; Run time in seconds excluding printing time:
% 0.45/0.61 ; 0.003 3% Read assertion file (1 call)
% 0.45/0.61 ; 0.001 1% Assert (16 calls)
% 0.45/0.61 ; 0.017 18% Process new row (988 calls)
% 0.45/0.61 ; 0.027 28% Resolution (74 calls)
% 0.45/0.61 ; 0.000 0% Paramodulation (37 calls)
% 0.45/0.61 ; 0.000 0% Condensing (7 calls)
% 0.45/0.61 ; 0.000 0% Forward subsumption (7 calls)
% 0.45/0.61 ; 0.000 0% Backward subsumption (7 calls)
% 0.45/0.61 ; 0.010 11% Forward simplification (988 calls)
% 0.45/0.61 ; 0.005 5% Backward simplification (181 calls)
% 0.45/0.61 ; 0.000 0% Sortal reasoning (32 calls)
% 0.45/0.61 ; 0.000 0% Purity testing (1 call)
% 0.45/0.61 ; 0.032 34% Other
% 0.45/0.61 ; 0.095 Total
% 0.45/0.61 ; 0.097 Real time
% 0.45/0.61 ;
% 0.45/0.61 ; Term-hash-array has 334 terms in all.
% 0.45/0.61 ; Feature-vector-row-index has 7 entries (7 at peak, 7 added, 0 deleted).
% 0.45/0.61 ; Feature-vector-row-index has 23 nodes (23 at peak, 23 added, 0 deleted).
% 0.45/0.61 ; Retrieved 0 possibly forward subsuming rows in 7 calls.
% 0.45/0.61 ; Retrieved 0 possibly backward subsumed rows in 7 calls.
% 0.45/0.61 ; Path-index has 317 entries (321 at peak, 336 added, 19 deleted).
% 0.45/0.61 ; Path-index has 550 nodes (561 at peak, 565 added, 15 deleted).
% 0.45/0.61 ; Trie-index has 317 entries (321 at peak, 336 added, 19 deleted).
% 0.45/0.61 ; Trie-index has 1,104 nodes (1,115 at peak, 1,143 added, 39 deleted).
% 0.45/0.61 ; Retrieved 1,850 generalization terms in 988 calls.
% 0.45/0.61 ; Retrieved 245 instance terms in 173 calls.
% 0.45/0.61 ; Retrieved 9,286 unifiable terms in 1,124 calls.
% 0.45/0.61 ;
% 0.45/0.61 ; The agenda of rows to process has 37 entries:
% 0.45/0.61 ; 4 with value 11 8 with value 15 2 with value 18
% 0.45/0.61 ; 14 with value 13 8 with value 16 1 with value 19
% 0.45/0.61 ; The agenda of rows to give has 134 entries:
% 0.45/0.61 ; 1 with value (4 9) 30 with value (4 15) 2 with value (4 19)
% 0.45/0.61 ; 1 with value (4 11) 18 with value (4 16) 2 with value (4 20)
% 0.45/0.61 ; 8 with value (4 12) 18 with value (4 17) 2 with value (4 21)
% 0.45/0.61 ; 16 with value (4 13) 8 with value (4 18) 2 with value (4 22)
% 0.45/0.61 ; 26 with value (4 14)
% 0.45/0.61 Evaluation took:
% 0.45/0.61 0.097 seconds of real time
% 0.45/0.61 0.083935 seconds of user run time
% 0.45/0.61 0.013048 seconds of system run time
% 0.45/0.61 0 calls to %EVAL
% 0.45/0.61 0 page faults and
% 0.45/0.61 4,782,072 bytes consed.
% 0.45/0.61 :PROOF-FOUND
% 0.45/0.61 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-06T08:14:38
% 0.45/0.61 :PROOF-FOUND
% 0.45/0.61 *
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