TSTP Solution File: NUM841+2 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM841+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 14:14:34 EDT 2022
% Result : Theorem 1.08s 1.25s
% Output : Refutation 1.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 11 ( 9 unt; 0 nHn; 8 RR)
% Number of literals : 13 ( 6 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 9 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(214, 352, 0)') ).
cnf(4,axiom,
greater(vd347,vd348),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(211), 349, 0)') ).
cnf(5,axiom,
greater(vd344,vd345),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(211), 346, 0)') ).
cnf(17,axiom,
( ~ greater(X,Y)
| X = vplus(Y,'SKOLEMAAAV1'(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
cnf(18,axiom,
( greater(X,Y)
| X != vplus(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
cnf(78,plain,
vd347 = vplus(vd348,'SKOLEMAAAV1'(vd347,vd348)),
inference('HYPERRESOLVE',[status(thm)],[17,4]) ).
cnf(79,plain,
vplus(vd348,vplus('SKOLEMAAAV1'(vd347,vd348),X)) = vplus(vd347,X),
inference('EMBED',[status(thm)],[78]) ).
cnf(80,plain,
vd344 = vplus(vd345,'SKOLEMAAAV1'(vd344,vd345)),
inference('HYPERRESOLVE',[status(thm)],[17,5]) ).
cnf(81,plain,
vplus(vd345,vplus('SKOLEMAAAV1'(vd344,vd345),X)) = vplus(vd344,X),
inference('EMBED',[status(thm)],[80]) ).
cnf(245,plain,
greater(vplus(vd347,vplus(X,Y)),vplus(Y,vd348)),
inference('HYPERRESOLVE',[status(thm)],[18,79]) ).
cnf(861,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[245,81,theory(equality)]),1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM841+2 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.11/0.32 % Computer : n024.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Thu Jul 7 11:04:59 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.43 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 *
% 0.18/0.44 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45 (USE-FACTORING :POS)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45 *
% 0.18/0.45 "."
% 0.18/0.45 *
% 0.18/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T11:04:59
% 0.18/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-07T11:04:59
% 0.18/0.46
% 0.18/0.46 ; Recognized commutativity assertion (= (|vplus| ?X ?Y) (|vplus| ?Y ?X)).
% 0.18/0.46 ; Recognized associativity assertion (= (|vplus| (|vplus| ?X ?Y) ?Z) (|vplus| ?X (|vplus| ?Y ?Z))).
% 0.18/0.46 ; Declaring vplus to be commutative.
% 1.08/1.25 ; Declaring vplus to be associative-commutative.
% 1.08/1.25
% 1.08/1.25 #||
% 1.08/1.25 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.08/1.25 % SZS output start Refutation
% See solution above
% 1.08/1.25 ||#
% 1.08/1.25
% 1.08/1.25 ; Summary of computation:
% 1.08/1.25 ; 5876 formulas have been input or derived (from 226 formulas).
% 1.08/1.25 ; 861 (15%) were retained. Of these,
% 1.08/1.25 ; 7 ( 1%) were simplified or subsumed later,
% 1.08/1.25 ; 854 (99%) are still being kept.
% 1.08/1.25 ;
% 1.08/1.25 ; Run time in seconds excluding printing time:
% 1.08/1.25 ; 0.005 1% Read assertion file (1 call)
% 1.08/1.25 ; 0.001 0% Assert (26 calls)
% 1.08/1.25 ; 0.060 7% Process new row (5,364 calls)
% 1.08/1.25 ; 0.395 49% Resolution (450 calls)
% 1.08/1.25 ; 0.032 4% Paramodulation (225 calls)
% 1.08/1.25 ; 0.000 0% Factoring (7 calls)
% 1.08/1.25 ; 0.000 0% Embedding (27 calls)
% 1.08/1.25 ; 0.074 9% Condensing (833 calls)
% 1.08/1.25 ; 0.023 3% Forward subsumption (833 calls)
% 1.08/1.25 ; 0.002 0% Backward subsumption (295 calls)
% 1.08/1.25 ; 0.028 3% Clause clause subsumption (1,083 calls)
% 1.08/1.25 ; 0.126 16% Forward simplification (5,333 calls)
% 1.08/1.25 ; 0.009 1% Backward simplification (834 calls)
% 1.08/1.25 ; 0.002 0% Ordering (1,418 calls)
% 1.08/1.25 ; 0.000 0% Ordering ac (108 calls)
% 1.08/1.25 ; 0.000 0% Sortal reasoning (32 calls)
% 1.08/1.25 ; 0.000 0% Purity testing (1 call)
% 1.08/1.25 ; 0.046 6% Other
% 1.08/1.25 ; 0.803 Total
% 1.08/1.25 ; 0.805 Real time
% 1.08/1.25 ;
% 1.08/1.25 ; Term-hash-array has 1,202 terms in all.
% 1.08/1.25 ; Feature-vector-row-index has 295 entries (295 at peak, 295 added, 0 deleted).
% 1.08/1.25 ; Feature-vector-row-index has 1,396 nodes (1,396 at peak, 1,396 added, 0 deleted).
% 1.08/1.25 ; Retrieved 1,609 possibly forward subsuming rows in 833 calls.
% 1.08/1.25 ; Retrieved 81 possibly backward subsumed rows in 295 calls.
% 1.08/1.25 ; Path-index has 1,199 entries (1,199 at peak, 1,208 added, 9 deleted).
% 1.08/1.25 ; Path-index has 707 nodes (707 at peak, 711 added, 4 deleted).
% 1.08/1.25 ; Trie-index has 1,199 entries (1,199 at peak, 1,208 added, 9 deleted).
% 1.08/1.25 ; Trie-index has 930 nodes (930 at peak, 935 added, 5 deleted).
% 1.08/1.25 ; Retrieved 196,717 generalization terms in 25,198 calls.
% 1.08/1.25 ; Retrieved 905 instance terms in 538 calls.
% 1.08/1.25 ; Retrieved 51,387 unifiable terms in 3,606 calls.
% 1.08/1.25 ;
% 1.08/1.25 ; The agenda of rows to process has 138 entries:
% 1.08/1.25 ; 1 with value 13 15 with value 18 13 with value 23
% 1.08/1.25 ; 19 with value 14 19 with value 19 4 with value 24
% 1.08/1.25 ; 3 with value 15 4 with value 20 5 with value 25
% 1.08/1.25 ; 10 with value 16 16 with value 21 7 with value 26
% 1.08/1.25 ; 10 with value 17 10 with value 22 2 with value 28
% 1.08/1.25 ; The agenda of rows to give has 630 entries:
% 1.08/1.25 ; 1 with value (4 12) 51 with value (4 17) 8 with value (4 22)
% 1.08/1.25 ; 54 with value (4 13) 52 with value (4 18) 4 with value (4 23)
% 1.08/1.25 ; 56 with value (4 14) 25 with value (4 19) 7 with value (4 24)
% 1.08/1.25 ; 94 with value (4 15) 83 with value (4 20) 40 with value (4 25)
% 1.08/1.25 ; 116 with value (4 16) 39 with value (4 21)
% 1.08/1.25 Evaluation took:
% 1.08/1.25 0.806 seconds of real time
% 1.08/1.25 0.761619 seconds of user run time
% 1.08/1.25 0.043726 seconds of system run time
% 1.08/1.25 [Run times include 0.027 seconds GC run time.]
% 1.08/1.25 0 calls to %EVAL
% 1.08/1.25 0 page faults and
% 1.08/1.25 71,833,184 bytes consed.
% 1.08/1.25 :PROOF-FOUND
% 1.08/1.25 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T11:05:00
% 1.08/1.25 :PROOF-FOUND
% 1.08/1.25 *
%------------------------------------------------------------------------------