%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM850+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 14:14:40 EDT 2022
% Result : Theorem 1.13s 1.35s
% Output : Refutation 1.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 4 unt; 0 nHn; 6 RR)
% Number of literals : 8 ( 2 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 5 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
vd470 != vplus(vd471,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(conseq_conjunct1(conseq(302)))') ).
cnf(2,axiom,
greater(vd470,vd471),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(antec(302), 472, 0)') ).
cnf(34,axiom,
( ~ greater(X,Y)
| less(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
cnf(39,axiom,
( ~ less(X,Y)
| Y = vplus(X,'SKOLEMAAAU1'(Y,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).
cnf(62,plain,
less(vd471,vd470),
inference('HYPERRESOLVE',[status(thm)],[34,2]) ).
cnf(341,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[39,1]),62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM850+1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n006.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 : Tue Jul 5 13:09:37 EDT 2022
% 0.13/0.34 % 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 2022-07-05T13:09:37
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-07-05T13:09:37
% 0.19/0.49
% 0.19/0.49 ; Recognized associativity assertion (= (|vmul| (|vmul| ?X ?Y) ?Z) (|vmul| ?X (|vmul| ?Y ?Z))).
% 0.19/0.49 ; Recognized commutativity assertion (= (|vmul| ?X ?Y) (|vmul| ?Y ?X)).
% 0.19/0.49 ; Recognized left identity assertion (= (|vmul| |v1| ?X) ?X).
% 0.19/0.49 ; Recognized right identity assertion (= (|vmul| ?X |v1|) ?X).
% 0.19/0.49 ; Recognized commutativity assertion (= (|vplus| ?X ?Y) (|vplus| ?Y ?X)).
% 0.19/0.49 ; Recognized associativity assertion (= (|vplus| (|vplus| ?X ?Y) ?Z) (|vplus| ?X (|vplus| ?Y ?Z))).
% 0.19/0.49 ; Declaring vplus to be commutative.
% 0.19/0.49 ; Declaring vplus to be associative-commutative.
% 0.19/0.49 ; Declaring vmul to be commutative.
% 1.13/1.35 ; Declaring vmul to be associative-commutative.
% 1.13/1.35
% 1.13/1.35 #||
% 1.13/1.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.13/1.35 % SZS output start Refutation
% See solution above
% 1.13/1.35 ||#
% 1.13/1.35
% 1.13/1.35 ; Summary of computation:
% 1.13/1.35 ; 2056 formulas have been input or derived (from 47 formulas).
% 1.13/1.35 ; 341 (17%) were retained. Of these,
% 1.13/1.35 ; 3 ( 1%) were simplified or subsumed later,
% 1.13/1.35 ; 338 (99%) are still being kept.
% 1.13/1.35 ;
% 1.13/1.35 ; Run time in seconds:
% 1.13/1.35 ; 0.010 1% Read assertion file (1 call)
% 1.13/1.35 ; 0.003 0% Assert (52 calls)
% 1.13/1.35 ; 0.025 3% Process new row (1,963 calls)
% 1.13/1.35 ; 0.555 63% Resolution (92 calls)
% 1.13/1.35 ; 0.012 1% Paramodulation (46 calls)
% 1.13/1.35 ; 0.000 0% Factoring (2 calls)
% 1.13/1.35 ; 0.001 0% Embedding (21 calls)
% 1.13/1.35 ; 0.070 8% Condensing (606 calls)
% 1.13/1.35 ; 0.012 1% Forward subsumption (606 calls)
% 1.13/1.35 ; 0.000 0% Backward subsumption (212 calls)
% 1.13/1.35 ; 0.027 3% Clause clause subsumption (1,063 calls)
% 1.13/1.35 ; 0.124 14% Forward simplification (1,947 calls)
% 1.13/1.35 ; 0.003 0% Backward simplification (325 calls)
% 1.13/1.35 ; 0.001 0% Ordering (264 calls)
% 1.13/1.35 ; 0.004 0% Ordering ac (113 calls)
% 1.13/1.35 ; 0.000 0% Sortal reasoning (32 calls)
% 1.13/1.35 ; 0.000 0% Purity testing (1 call)
% 1.13/1.35 ; 0.029 3% Other
% 1.13/1.35 ; 0.876 Total
% 1.13/1.35 ; 0.877 Real time
% 1.13/1.35 ;
% 1.13/1.35 ; Term-hash-array has 641 terms in all.
% 1.13/1.35 ; Feature-vector-row-index has 210 entries (210 at peak, 212 added, 2 deleted).
% 1.13/1.35 ; Feature-vector-row-index has 571 nodes (571 at peak, 577 added, 6 deleted).
% 1.13/1.35 ; Retrieved 2,891 possibly forward subsuming rows in 606 calls.
% 1.13/1.35 ; Retrieved 157 possibly backward subsumed rows in 212 calls.
% 1.13/1.35 ; Path-index has 639 entries (639 at peak, 644 added, 5 deleted).
% 1.13/1.35 ; Path-index has 357 nodes (357 at peak, 361 added, 4 deleted).
% 1.13/1.35 ; Trie-index has 639 entries (639 at peak, 644 added, 5 deleted).
% 1.13/1.35 ; Trie-index has 210 nodes (210 at peak, 217 added, 7 deleted).
% 1.13/1.35 ; Retrieved 67,705 generalization terms in 12,354 calls.
% 1.13/1.35 ; Retrieved 424 instance terms in 119 calls.
% 1.13/1.35 ; Retrieved 25,130 unifiable terms in 984 calls.
% 1.13/1.35 ;
% 1.13/1.35 ; The agenda of rows to process has 4 entries:
% 1.13/1.35 ; 1 with value 5 2 with value 8 1 with value 19
% 1.13/1.35 ; The agenda of input rows to give has 8 entries:
% 1.13/1.35 ; 2 with value 14 3 with value 17 1 with value 24
% 1.13/1.35 ; 2 with value 16
% 1.13/1.35 ; The agenda of rows to give has 283 entries:
% 1.13/1.35 ; 9 with value (4 5) 6 with value (4 16) 2 with value (4 26)
% 1.13/1.35 ; 6 with value (4 7) 20 with value (4 17) 7 with value (4 27)
% 1.13/1.35 ; 3 with value (4 8) 14 with value (4 18) 11 with value (4 28)
% 1.13/1.35 ; 3 with value (4 9) 20 with value (4 19) 10 with value (4 29)
% 1.13/1.35 ; 10 with value (4 10) 6 with value (4 20) 8 with value (4 30)
% 1.13/1.35 ; 11 with value (4 11) 6 with value (4 21) 2 with value (4 31)
% 1.13/1.35 ; 12 with value (4 12) 6 with value (4 22) 15 with value (4 32)
% 1.13/1.35 ; 15 with value (4 13) 16 with value (4 23) 7 with value (4 34)
% 1.13/1.35 ; 6 with value (4 14) 13 with value (4 24) 7 with value (4 36)
% 1.13/1.35 ; 11 with value (4 15) 19 with value (4 25) 2 with value (4 42)
% 1.13/1.35 Evaluation took:
% 1.13/1.35 0.877 seconds of real time
% 1.13/1.35 0.859111 seconds of user run time
% 1.13/1.35 0.017328 seconds of system run time
% 1.13/1.35 [Run times include 0.024 seconds GC run time.]
% 1.13/1.35 0 calls to %EVAL
% 1.13/1.35 0 page faults and
% 1.13/1.35 91,199,840 bytes consed.
% 1.13/1.35 :PROOF-FOUND
% 1.13/1.35 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T13:09:38
% 1.13/1.35 :PROOF-FOUND
% 1.13/1.35 *
%------------------------------------------------------------------------------