TSTP Solution File: NUN059+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUN059+1 : TPTP v8.1.0. Bugfixed v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 16:38:14 EDT 2022
% Result : Theorem 4.02s 4.25s
% Output : Refutation 4.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 13
% Syntax : Number of clauses : 20 ( 15 unt; 0 nHn; 7 RR)
% Number of literals : 35 ( 0 equ; 17 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 36 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( id(X,'SKOLEMAAAR1')
| ~ r1(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_1) ).
cnf(9,axiom,
id(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_5) ).
cnf(11,axiom,
( ~ id(X,Y)
| ~ r1(X)
| r1(Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_8) ).
cnf(13,axiom,
( ~ id(X,Y)
| ~ id(Z,U)
| ~ id(V,W)
| ~ r3(X,Z,V)
| r3(Y,U,W) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_10) ).
cnf(14,axiom,
( ~ id(X,Y)
| ~ id(Z,U)
| ~ id(V,W)
| ~ r4(X,Z,V)
| r4(Y,U,W) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_11) ).
cnf(26,axiom,
id('SKOLEMAAAR13'(X),X),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_4a) ).
cnf(27,axiom,
r1('SKOLEMAAAR14'(X)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_4a) ).
cnf(28,axiom,
r3(X,'SKOLEMAAAR14'(X),'SKOLEMAAAR13'(X)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_4a) ).
cnf(29,axiom,
r1('SKOLEMAAAR16'(X)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_5a) ).
cnf(30,axiom,
r4(X,'SKOLEMAAAR16'(X),'SKOLEMAAAR15'(X)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_5a) ).
cnf(31,axiom,
id('SKOLEMAAAR15'(X),'SKOLEMAAAR17'(X)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_5a) ).
cnf(32,axiom,
r1('SKOLEMAAAR17'(X)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_5a) ).
cnf(38,negated_conjecture,
( ~ id(X,Y)
| ~ r4(Z,Z,Y)
| ~ r4(U,U,V)
| ~ r4(W,W,X1)
| ~ r3(X1,V,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fermattothepoweroftwoid) ).
cnf(40,plain,
id('SKOLEMAAAR16'(X),'SKOLEMAAAR1'),
inference('HYPERRESOLVE',[status(thm)],[1,29]) ).
cnf(41,plain,
id('SKOLEMAAAR14'(X),'SKOLEMAAAR1'),
inference('HYPERRESOLVE',[status(thm)],[1,27]) ).
cnf(49,plain,
r1('SKOLEMAAAR15'(X)),
inference('HYPERRESOLVE',[status(thm)],[11,31,32]) ).
cnf(2716,plain,
id('SKOLEMAAAR15'(X),'SKOLEMAAAR1'),
inference('HYPERRESOLVE',[status(thm)],[1,49]) ).
cnf(4071,plain,
r3(X,'SKOLEMAAAR1',X),
inference('HYPERRESOLVE',[status(thm)],[13,41,9,26,28]) ).
cnf(5003,plain,
~ r4(X,X,'SKOLEMAAAR1'),
inference('UR-RESOLVE',[status(thm)],[38,4071,9]) ).
cnf(6463,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[14,2716,40,2716,30]),5003]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : NUN059+1 : TPTP v8.1.0. Bugfixed v7.4.0.
% 0.00/0.10 % Command : run-snark %s %d
% 0.09/0.29 % Computer : n029.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Thu Jun 2 07:55:46 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.13/0.38 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.39 *
% 0.13/0.39 *
% 0.13/0.39 #<PACKAGE "SNARK-USER">
% 0.13/0.39 *
% 0.13/0.39 SNARK-TPTP-OPTIONS
% 0.13/0.39 *
% 0.13/0.39 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.13/0.39 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.13/0.39 (USE-FACTORING :POS)
% 0.13/0.39 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.13/0.39 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.13/0.39 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.13/0.39 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.13/0.39 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.13/0.39 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.13/0.39 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.13/0.39 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.13/0.39 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.13/0.39 (DECLARE-TPTP-SYMBOLS2))
% 0.13/0.39 *
% 0.13/0.39 "."
% 0.13/0.39 *
% 0.13/0.40 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T07:55:46
% 0.13/0.40 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-02T07:55:46
% 0.13/0.41
% 0.13/0.41 ; Recognized commutativity assertion (OR (NOT (|id| ?X ?Y)) (|id| ?Y ?X)).
% 0.13/0.41 ; Recognized relation function assertion (|r4| ?X ?Y (SKOLEMAAAR12 ?X ?Y)).
% 4.02/4.25 ; Declaring id to be commutative.
% 4.02/4.25
% 4.02/4.25 #||
% 4.02/4.25 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.02/4.25 % SZS output start Refutation
% See solution above
% 4.02/4.26 ||#
% 4.02/4.26
% 4.02/4.26 ; Summary of computation:
% 4.02/4.26 ; 20623 formulas have been input or derived (from 67 formulas).
% 4.02/4.26 ; 6463 (31%) were retained. Of these,
% 4.02/4.26 ; 137 ( 2%) were simplified or subsumed later,
% 4.02/4.26 ; 6326 (98%) are still being kept.
% 4.02/4.26 ;
% 4.02/4.26 ; Run time in seconds excluding printing time:
% 4.02/4.26 ; 0.006 0% Read assertion file (1 call)
% 4.02/4.26 ; 0.001 0% Assert (19 calls)
% 4.02/4.26 ; 0.420 11% Process new row (16,525 calls)
% 4.02/4.26 ; 2.543 66% Resolution (132 calls)
% 4.02/4.26 ; 0.000 0% Paramodulation (66 calls)
% 4.02/4.26 ; 0.000 0% Factoring (4 calls)
% 4.02/4.26 ; 0.041 1% Condensing (5,492 calls)
% 4.02/4.26 ; 0.356 9% Forward subsumption (5,492 calls)
% 4.02/4.26 ; 0.121 3% Backward subsumption (4,044 calls)
% 4.02/4.26 ; 0.082 2% Clause clause subsumption (35,205 calls)
% 4.02/4.26 ; 0.154 4% Forward simplification (16,525 calls)
% 4.02/4.26 ; 0.039 1% Backward simplification (6,463 calls)
% 4.02/4.26 ; 0.017 0% Ordering (9,689 calls)
% 4.02/4.26 ; 0.000 0% Sortal reasoning (32 calls)
% 4.02/4.26 ; 0.000 0% Purity testing (1 call)
% 4.02/4.26 ; 0.078 2% Other
% 4.02/4.26 ; 3.858 Total
% 4.02/4.26 ; 3.861 Real time
% 4.02/4.26 ;
% 4.02/4.26 ; Term-hash-array has 7,541 terms in all.
% 4.02/4.26 ; Feature-vector-row-index has 3,944 entries (3,944 at peak, 4,044 added, 100 deleted).
% 4.02/4.26 ; Feature-vector-row-index has 14,756 nodes (14,756 at peak, 15,270 added, 514 deleted).
% 4.02/4.26 ; Retrieved 42,212 possibly forward subsuming rows in 5,492 calls.
% 4.02/4.26 ; Retrieved 4,146 possibly backward subsumed rows in 4,044 calls.
% 4.02/4.26 ; Path-index has 7,419 entries (7,419 at peak, 7,542 added, 123 deleted).
% 4.02/4.26 ; Path-index has 6,757 nodes (6,757 at peak, 6,847 added, 90 deleted).
% 4.02/4.26 ; Trie-index has 7,419 entries (7,419 at peak, 7,542 added, 123 deleted).
% 4.02/4.26 ; Trie-index has 25,777 nodes (25,777 at peak, 26,124 added, 347 deleted).
% 4.02/4.26 ; Retrieved 21,250 generalization terms in 25,595 calls.
% 4.02/4.26 ; Retrieved 3,134 instance terms in 2,418 calls.
% 4.02/4.26 ; Retrieved 3,272,600 unifiable terms in 110,828 calls.
% 4.02/4.26 ;
% 4.02/4.26 ; The agenda of rows to process has 3691 entries:
% 4.02/4.26 ; 18 with value 8 69 with value 20 51 with value 31
% 4.02/4.26 ; 36 with value 9 33 with value 21 74 with value 32
% 4.02/4.26 ; 161 with value 10 71 with value 22 33 with value 33
% 4.02/4.26 ; 314 with value 11 75 with value 23 25 with value 35
% 4.02/4.26 ; 522 with value 12 28 with value 24 14 with value 36
% 4.02/4.26 ; 257 with value 13 26 with value 25 20 with value 37
% 4.02/4.26 ; 399 with value 14 167 with value 26 6 with value 38
% 4.02/4.26 ; 193 with value 15 94 with value 27 6 with value 39
% 4.02/4.26 ; 383 with value 16 49 with value 28 1 with value 41
% 4.02/4.26 ; 223 with value 17 22 with value 29 6 with value 43
% 4.02/4.26 ; 99 with value 18 112 with value 30 3 with value 47
% 4.02/4.26 ; 101 with value 19
% 4.02/4.26 ; The agenda of rows to give has 6260 entries:
% 4.02/4.26 ; 1 with value (4 8) 152 with value (4 23) 81 with value (4 37)
% 4.02/4.26 ; 63 with value (4 9) 156 with value (4 24) 48 with value (4 38)
% 4.02/4.26 ; 83 with value (4 10) 179 with value (4 25) 36 with value (4 39)
% 4.02/4.26 ; 181 with value (4 11) 215 with value (4 26) 60 with value (4 40)
% 4.02/4.26 ; 288 with value (4 12) 254 with value (4 27) 26 with value (4 41)
% 4.02/4.26 ; 296 with value (4 13) 156 with value (4 28) 38 with value (4 42)
% 4.02/4.26 ; 307 with value (4 14) 184 with value (4 29) 24 with value (4 43)
% 4.02/4.26 ; 305 with value (4 15) 247 with value (4 30) 3 with value (4 45)
% 4.02/4.26 ; 402 with value (4 16) 271 with value (4 31) 21 with value (4 46)
% 4.02/4.26 ; 221 with value (4 17) 215 with value (4 32) 9 with value (4 47)
% 4.02/4.26 ; 375 with value (4 18) 118 with value (4 33) 24 with value (4 48)
% 4.02/4.26 ; 188 with value (4 19) 133 with value (4 34) 3 with value (4 50)
% 4.02/4.26 ; 251 with value (4 20) 135 with value (4 35) 3 with value (4 51)
% 4.02/4.26 ; 168 with value (4 21) 185 with value (4 36) 12 with value (4 53)
% 4.02/4.26 ; 143 with value (4 22)
% 4.02/4.26 Evaluation took:
% 4.02/4.26 3.863 seconds of real time
% 4.02/4.26 3.653795 seconds of user run time
% 4.02/4.26 0.208145 seconds of system run time
% 4.02/4.26 [Run times include 0.354 seconds GC run time.]
% 4.02/4.26 0 calls to %EVAL
% 4.02/4.26 0 page faults and
% 4.02/4.26 319,464,320 bytes consed.
% 4.02/4.26 :PROOF-FOUND
% 4.02/4.26 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T07:55:50
% 4.02/4.26 :PROOF-FOUND
% 4.02/4.26 *
%------------------------------------------------------------------------------