TSTP Solution File: NUN076+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUN076+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 16:38:18 EDT 2022
% Result : Theorem 5.11s 5.30s
% Output : Refutation 5.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 14
% Syntax : Number of clauses : 22 ( 16 unt; 0 nHn; 8 RR)
% Number of literals : 37 ( 0 equ; 16 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 34 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( id(X,'SKOLEMAAAW1')
| ~ r1(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_1) ).
cnf(2,axiom,
( r1(X)
| ~ id(X,'SKOLEMAAAW1') ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_1) ).
cnf(4,axiom,
( r2(X,Y)
| ~ id(Y,'SKOLEMAAAW2'(X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_2) ).
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(26,axiom,
id('SKOLEMAAAW13'(X),X),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_4a) ).
cnf(27,axiom,
r1('SKOLEMAAAW14'(X)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_4a) ).
cnf(28,axiom,
r3(X,'SKOLEMAAAW14'(X),'SKOLEMAAAW13'(X)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_4a) ).
cnf(29,axiom,
r1('SKOLEMAAAW16'(X)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_5a) ).
cnf(30,axiom,
r4(X,'SKOLEMAAAW16'(X),'SKOLEMAAAW15'(X)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_5a) ).
cnf(31,axiom,
id('SKOLEMAAAW15'(X),'SKOLEMAAAW17'(X)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_5a) ).
cnf(32,axiom,
r1('SKOLEMAAAW17'(X)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_5a) ).
cnf(38,negated_conjecture,
( ~ id(X,Y)
| ~ r4(Z,U,X)
| ~ r2(V,Z)
| ~ r1(W)
| ~ r2(W,V)
| ~ id(X1,Y)
| ~ r3(U,Y1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thereexistsanevennumberid) ).
cnf(40,plain,
id('SKOLEMAAAW16'(X),'SKOLEMAAAW1'),
inference('HYPERRESOLVE',[status(thm)],[1,29]) ).
cnf(41,plain,
id('SKOLEMAAAW14'(X),'SKOLEMAAAW1'),
inference('HYPERRESOLVE',[status(thm)],[1,27]) ).
cnf(42,plain,
r1('SKOLEMAAAW1'),
inference('HYPERRESOLVE',[status(thm)],[2,9]) ).
cnf(47,plain,
r2(X,'SKOLEMAAAW2'(X)),
inference('HYPERRESOLVE',[status(thm)],[4,9]) ).
cnf(49,plain,
r1('SKOLEMAAAW15'(X)),
inference('HYPERRESOLVE',[status(thm)],[11,31,32]) ).
cnf(4306,plain,
id('SKOLEMAAAW15'(X),'SKOLEMAAAW1'),
inference('HYPERRESOLVE',[status(thm)],[1,49]) ).
cnf(6097,plain,
r3(X,'SKOLEMAAAW1',X),
inference('HYPERRESOLVE',[status(thm)],[13,41,9,26,28]) ).
cnf(10582,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[38,6097,30,47,42,47,40]),4306]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUN076+1 : TPTP v8.1.0. Released v7.3.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n022.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Thu Jun 2 08:54:06 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.49 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.50 *
% 0.22/0.50 *
% 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/sandbox/benchmark/theBenchmark.p 2022-06-02T08:54:07
% 0.22/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-02T08:54:07
% 0.35/0.53
% 0.35/0.53 ; Recognized commutativity assertion (OR (NOT (|id| ?X ?Y)) (|id| ?Y ?X)).
% 0.35/0.53 ; Recognized relation function assertion (|r4| ?X ?Y (SKOLEMAAAW12 ?X ?Y)).
% 5.11/5.30 ; Declaring id to be commutative.
% 5.11/5.30
% 5.11/5.30 #||
% 5.11/5.30 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.11/5.30 % SZS output start Refutation
% See solution above
% 5.11/5.30 ||#
% 5.11/5.30
% 5.11/5.30 ; Summary of computation:
% 5.11/5.30 ; 35119 formulas have been input or derived (from 57 formulas).
% 5.11/5.30 ; 10582 (30%) were retained. Of these,
% 5.11/5.30 ; 218 ( 2%) were simplified or subsumed later,
% 5.11/5.30 ; 10364 (98%) are still being kept.
% 5.11/5.30 ;
% 5.11/5.30 ; Run time in seconds excluding printing time:
% 5.11/5.30 ; 0.007 0% Read assertion file (1 call)
% 5.11/5.30 ; 0.002 0% Assert (19 calls)
% 5.11/5.30 ; 0.728 15% Process new row (23,580 calls)
% 5.11/5.30 ; 3.228 67% Resolution (112 calls)
% 5.11/5.30 ; 0.001 0% Paramodulation (56 calls)
% 5.11/5.30 ; 0.000 0% Factoring (4 calls)
% 5.11/5.30 ; 0.069 1% Condensing (4,492 calls)
% 5.11/5.30 ; 0.238 5% Forward subsumption (4,492 calls)
% 5.11/5.30 ; 0.084 2% Backward subsumption (3,334 calls)
% 5.11/5.30 ; 0.057 1% Clause clause subsumption (25,927 calls)
% 5.11/5.30 ; 0.210 4% Forward simplification (23,580 calls)
% 5.11/5.30 ; 0.074 2% Backward simplification (10,582 calls)
% 5.11/5.30 ; 0.007 0% Ordering (8,699 calls)
% 5.11/5.30 ; 0.000 0% Sortal reasoning (32 calls)
% 5.11/5.30 ; 0.000 0% Purity testing (1 call)
% 5.11/5.30 ; 0.086 2% Other
% 5.11/5.30 ; 4.791 Total
% 5.11/5.30 ; 4.794 Real time
% 5.11/5.30 ;
% 5.11/5.30 ; Term-hash-array has 14,953 terms in all.
% 5.11/5.30 ; Feature-vector-row-index has 3,270 entries (3,270 at peak, 3,334 added, 64 deleted).
% 5.11/5.30 ; Feature-vector-row-index has 12,388 nodes (12,388 at peak, 12,740 added, 352 deleted).
% 5.11/5.30 ; Retrieved 32,423 possibly forward subsuming rows in 4,492 calls.
% 5.11/5.30 ; Retrieved 1,668 possibly backward subsumed rows in 3,334 calls.
% 5.11/5.30 ; Path-index has 14,715 entries (14,715 at peak, 14,954 added, 239 deleted).
% 5.11/5.30 ; Path-index has 16,850 nodes (16,850 at peak, 16,986 added, 136 deleted).
% 5.11/5.30 ; Trie-index has 14,715 entries (14,715 at peak, 14,954 added, 239 deleted).
% 5.11/5.30 ; Trie-index has 58,533 nodes (58,533 at peak, 59,829 added, 1,296 deleted).
% 5.11/5.30 ; Retrieved 30,161 generalization terms in 30,272 calls.
% 5.11/5.30 ; Retrieved 8,200 instance terms in 7,247 calls.
% 5.11/5.30 ; Retrieved 4,611,012 unifiable terms in 96,650 calls.
% 5.11/5.30 ;
% 5.11/5.30 ; The agenda of rows to process has 11269 entries:
% 5.11/5.30 ; 63 with value 13 578 with value 21 28 with value 28
% 5.11/5.30 ; 427 with value 14 213 with value 22 15 with value 29
% 5.11/5.30 ; 798 with value 15 325 with value 23 10 with value 30
% 5.11/5.30 ; 1766 with value 16 56 with value 24 4 with value 31
% 5.11/5.30 ; 2535 with value 17 241 with value 25 12 with value 32
% 5.11/5.30 ; 2192 with value 18 38 with value 26 12 with value 33
% 5.11/5.30 ; 990 with value 19 134 with value 27 2 with value 34
% 5.11/5.30 ; 830 with value 20
% 5.11/5.30 ; The agenda of rows to give has 10308 entries:
% 5.11/5.30 ; 1 with value (4 7) 403 with value (4 22) 61 with value (4 37)
% 5.11/5.30 ; 9 with value (4 8) 447 with value (4 23) 44 with value (4 38)
% 5.11/5.30 ; 63 with value (4 9) 435 with value (4 24) 30 with value (4 39)
% 5.11/5.30 ; 69 with value (4 10) 557 with value (4 25) 60 with value (4 40)
% 5.11/5.30 ; 129 with value (4 11) 461 with value (4 26) 26 with value (4 41)
% 5.11/5.30 ; 200 with value (4 12) 387 with value (4 27) 38 with value (4 42)
% 5.11/5.30 ; 302 with value (4 13) 237 with value (4 28) 18 with value (4 43)
% 5.11/5.30 ; 329 with value (4 14) 206 with value (4 29) 3 with value (4 45)
% 5.11/5.30 ; 573 with value (4 15) 207 with value (4 30) 21 with value (4 46)
% 5.11/5.30 ; 811 with value (4 16) 235 with value (4 31) 6 with value (4 47)
% 5.11/5.30 ; 634 with value (4 17) 172 with value (4 32) 24 with value (4 48)
% 5.11/5.30 ; 944 with value (4 18) 97 with value (4 33) 3 with value (4 50)
% 5.11/5.30 ; 578 with value (4 19) 133 with value (4 34) 3 with value (4 51)
% 5.11/5.30 ; 621 with value (4 20) 111 with value (4 35) 12 with value (4 53)
% 5.11/5.30 ; 437 with value (4 21) 171 with value (4 36)
% 5.11/5.30 Evaluation took:
% 5.11/5.30 4.796 seconds of real time
% 5.11/5.30 4.561295 seconds of user run time
% 5.11/5.30 0.234748 seconds of system run time
% 5.11/5.30 [Run times include 0.485 seconds GC run time.]
% 5.11/5.30 0 calls to %EVAL
% 5.11/5.30 0 page faults and
% 5.11/5.30 362,943,760 bytes consed.
% 5.11/5.30 :PROOF-FOUND
% 5.11/5.30 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T08:54:11
% 5.11/5.30 :PROOF-FOUND
% 5.11/5.30 *
%------------------------------------------------------------------------------