TSTP Solution File: NUM841+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM841+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 9.15s 9.33s
% Output : Refutation 9.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 9 unt; 0 nHn; 10 RR)
% Number of literals : 18 ( 0 equ; 7 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 : 12 ( 0 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(9,axiom,
( ~ less(X,Y)
| less(vplus(X,Z),vplus(Z,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 0)') ).
cnf(16,axiom,
( ~ less(X,Y)
| ~ less(Z,X)
| less(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(168, 0), 0)') ).
cnf(25,axiom,
( ~ less(X,Y)
| greater(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
cnf(26,axiom,
( ~ greater(X,Y)
| less(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
cnf(52,plain,
less(vd348,vd347),
inference('HYPERRESOLVE',[status(thm)],[26,4]) ).
cnf(53,plain,
less(vd345,vd344),
inference('HYPERRESOLVE',[status(thm)],[26,5]) ).
cnf(68,plain,
~ less(vplus(vd345,vd348),vplus(vd344,vd347)),
inference('UR-RESOLVE',[status(thm)],[25,1]) ).
cnf(227,plain,
less(vplus(X,vd348),vplus(vd347,X)),
inference('HYPERRESOLVE',[status(thm)],[9,52]) ).
cnf(233,plain,
less(vplus(X,vd345),vplus(vd344,X)),
inference('HYPERRESOLVE',[status(thm)],[9,53]) ).
cnf(1143,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[16,227,68]),233]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM841+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n021.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 : Thu Jul 7 22:49:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 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 2022-07-07T22:49:35
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-07T22:49:35
% 0.19/0.49
% 0.19/0.49 ; Recognized commutativity assertion (= (|vplus| ?X ?Y) (|vplus| ?Y ?X)).
% 0.19/0.50 ; Recognized associativity assertion (= (|vplus| (|vplus| ?X ?Y) ?Z) (|vplus| ?X (|vplus| ?Y ?Z))).
% 0.19/0.50 ; Declaring vplus to be commutative.
% 9.15/9.33 ; Declaring vplus to be associative-commutative.
% 9.15/9.33
% 9.15/9.33 #||
% 9.15/9.33 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.15/9.33 % SZS output start Refutation
% See solution above
% 9.15/9.33 ||#
% 9.15/9.33
% 9.15/9.33 ; Summary of computation:
% 9.15/9.33 ; 7967 formulas have been input or derived (from 207 formulas).
% 9.15/9.33 ; 1143 (14%) were retained. Of these,
% 9.15/9.33 ; 31 ( 3%) were simplified or subsumed later,
% 9.15/9.33 ; 1112 (97%) are still being kept.
% 9.15/9.33 ;
% 9.15/9.33 ; Run time in seconds excluding printing time:
% 9.15/9.33 ; 0.008 0% Read assertion file (1 call)
% 9.15/9.33 ; 0.002 0% Assert (45 calls)
% 9.15/9.33 ; 0.081 1% Process new row (7,515 calls)
% 9.15/9.33 ; 8.184 92% Resolution (412 calls)
% 9.15/9.33 ; 0.029 0% Paramodulation (206 calls)
% 9.15/9.33 ; 0.000 0% Factoring (5 calls)
% 9.15/9.33 ; 0.002 0% Embedding (66 calls)
% 9.15/9.33 ; 0.092 1% Condensing (1,180 calls)
% 9.15/9.33 ; 0.025 0% Forward subsumption (1,180 calls)
% 9.15/9.33 ; 0.003 0% Backward subsumption (476 calls)
% 9.15/9.33 ; 0.040 0% Clause clause subsumption (1,755 calls)
% 9.15/9.33 ; 0.322 4% Forward simplification (7,453 calls)
% 9.15/9.33 ; 0.005 0% Backward simplification (1,085 calls)
% 9.15/9.33 ; 0.005 0% Ordering (1,875 calls)
% 9.15/9.33 ; 0.002 0% Ordering ac (448 calls)
% 9.15/9.33 ; 0.000 0% Sortal reasoning (32 calls)
% 9.15/9.33 ; 0.000 0% Purity testing (1 call)
% 9.15/9.33 ; 0.051 1% Other
% 9.15/9.33 ; 8.851 Total
% 9.15/9.33 ; 8.853 Real time
% 9.15/9.33 ;
% 9.15/9.33 ; Term-hash-array has 1,621 terms in all.
% 9.15/9.33 ; Feature-vector-row-index has 474 entries (474 at peak, 476 added, 2 deleted).
% 9.15/9.33 ; Feature-vector-row-index has 1,862 nodes (1,862 at peak, 1,875 added, 13 deleted).
% 9.15/9.33 ; Retrieved 3,159 possibly forward subsuming rows in 1,180 calls.
% 9.15/9.33 ; Retrieved 112 possibly backward subsumed rows in 476 calls.
% 9.15/9.33 ; Path-index has 1,585 entries (1,585 at peak, 1,629 added, 44 deleted).
% 9.15/9.33 ; Path-index has 1,434 nodes (1,434 at peak, 1,452 added, 18 deleted).
% 9.15/9.33 ; Trie-index has 1,585 entries (1,585 at peak, 1,629 added, 44 deleted).
% 9.15/9.33 ; Trie-index has 1,232 nodes (1,232 at peak, 1,256 added, 24 deleted).
% 9.15/9.33 ; Retrieved 463,282 generalization terms in 45,649 calls.
% 9.15/9.33 ; Retrieved 902 instance terms in 608 calls.
% 9.15/9.33 ; Retrieved 146,500 unifiable terms in 4,803 calls.
% 9.15/9.33 ;
% 9.15/9.33 ; The agenda of rows to process has 90 entries:
% 9.15/9.33 ; 21 with value 12 5 with value 17 1 with value 22
% 9.15/9.33 ; 5 with value 13 2 with value 19 6 with value 24
% 9.15/9.33 ; 17 with value 14 6 with value 20 2 with value 27
% 9.15/9.33 ; 2 with value 15 5 with value 21 2 with value 40
% 9.15/9.33 ; 16 with value 16
% 9.15/9.33 ; The agenda of rows to give has 909 entries:
% 9.15/9.33 ; 2 with value (4 10) 21 with value (4 22) 6 with value (4 37)
% 9.15/9.33 ; 65 with value (4 11) 17 with value (4 23) 6 with value (4 38)
% 9.15/9.33 ; 70 with value (4 12) 8 with value (4 24) 5 with value (4 39)
% 9.15/9.33 ; 89 with value (4 13) 29 with value (4 25) 8 with value (4 40)
% 9.15/9.33 ; 90 with value (4 14) 18 with value (4 26) 6 with value (4 42)
% 9.15/9.33 ; 71 with value (4 15) 7 with value (4 27) 6 with value (4 43)
% 9.15/9.33 ; 96 with value (4 16) 4 with value (4 28) 1 with value (4 44)
% 9.15/9.33 ; 42 with value (4 17) 22 with value (4 29) 1 with value (4 45)
% 9.15/9.33 ; 40 with value (4 18) 15 with value (4 30) 1 with value (4 48)
% 9.15/9.33 ; 38 with value (4 19) 6 with value (4 31) 2 with value (4 51)
% 9.15/9.33 ; 43 with value (4 20) 6 with value (4 34) 2 with value (4 61)
% 9.15/9.33 ; 58 with value (4 21) 6 with value (4 36) 2 with value (4 67)
% 9.15/9.33 Evaluation took:
% 9.15/9.33 8.853 seconds of real time
% 9.15/9.33 8.760133 seconds of user run time
% 9.15/9.33 0.092918 seconds of system run time
% 9.15/9.33 [Run times include 0.207 seconds GC run time.]
% 9.15/9.33 0 calls to %EVAL
% 9.15/9.33 0 page faults and
% 9.15/9.33 866,741,696 bytes consed.
% 9.15/9.33 :PROOF-FOUND
% 9.15/9.33 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T22:49:44
% 9.15/9.33 :PROOF-FOUND
% 9.15/9.33 *
%------------------------------------------------------------------------------