TSTP Solution File: SWC416-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWC416-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 : Tue Jul 19 21:58:44 EDT 2022
% Result : Unsatisfiable 67.75s 67.94s
% Output : Refutation 67.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 14
% Syntax : Number of clauses : 27 ( 15 unt; 2 nHn; 27 RR)
% Number of literals : 69 ( 29 equ; 46 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(clause86,axiom,
( ~ ssItem(X)
| ~ ssList(Y)
| ssList(cons(X,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(clause97,axiom,
( ~ ssItem(X)
| ~ ssList(Y)
| hd(cons(X,Y)) = X ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause97) ).
cnf(clause100,axiom,
( ~ ssList(X)
| ~ ssList(Y)
| neq(Y,X)
| Y = X ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).
cnf(clause115,axiom,
( Y != X
| ~ neq(X,Y)
| ~ ssList(Y)
| ~ ssList(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause115) ).
cnf(clause120,axiom,
( ~ ssItem(X)
| ~ ssList(Y)
| app(cons(X,nil),Y) = cons(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause120) ).
cnf(co1_1,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
cnf(co1_2,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
cnf(co1_7,negated_conjecture,
neq(sk2,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
cnf(co1_12,negated_conjecture,
( ~ ssList(X)
| sk2 != X
| ~ ssList(Y)
| app(Y,sk1) != X
| ~ ssItem(Z)
| cons(Z,nil) != Y
| hd(sk2) != Z
| ~ neq(nil,sk2)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
cnf(191,plain,
( ~ ssList(X)
| sk2 != X
| ~ ssList(Y)
| app(Y,sk1) != X
| ~ ssItem(Z)
| cons(Z,nil) != Y
| hd(sk2) != Z
| ~ neq(nil,sk2) ),
inference('REWRITE',[status(thm)],[co1_12,co1_7,co1_5,theory(equality)]) ).
cnf(co1_13,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
cnf(193,plain,
ssItem(sk5),
inference('REWRITE',[status(thm)],[co1_13,co1_7,co1_5,theory(equality)]) ).
cnf(co1_14,negated_conjecture,
( app(cons(sk5,nil),sk3) = sk4
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
cnf(195,plain,
app(cons(sk5,nil),sk1) = sk2,
inference('REWRITE',[status(thm)],[co1_14,co1_7,co1_5,co1_6,theory(equality)]) ).
cnf(1560,plain,
ssList(cons(sk5,nil)),
inference('HYPERRESOLVE',[status(thm)],[clause86,193,clause8]) ).
cnf(3219,plain,
( neq(nil,sk2)
| nil = sk2 ),
inference('HYPERRESOLVE',[status(thm)],[clause100,co1_2,clause8]) ).
cnf(4453,plain,
nil != sk2,
inference('UR-RESOLVE',[status(thm)],[clause115,co1_7,clause8,co1_2]) ).
cnf(4456,plain,
neq(nil,sk2),
inference('REWRITE',[status(thm)],[3219,4453]) ).
cnf(4457,plain,
( ~ ssList(X)
| sk2 != X
| ~ ssList(Y)
| app(Y,sk1) != X
| ~ ssItem(Z)
| cons(Z,nil) != Y
| hd(sk2) != Z ),
inference('REWRITE',[status(thm)],[191,4456]) ).
cnf(5047,plain,
hd(cons(sk5,sk1)) = sk5,
inference('HYPERRESOLVE',[status(thm)],[clause97,193,co1_1]) ).
cnf(5650,plain,
sk2 = cons(sk5,sk1),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause120,193,co1_1]),195,theory(equality)]) ).
cnf(5656,plain,
hd(sk2) = sk5,
inference('REWRITE',[status(thm)],[5047,5650,theory(equality)]) ).
cnf(5657,plain,
( ~ ssList(X)
| sk2 != X
| ~ ssList(Y)
| app(Y,sk1) != X
| ~ ssItem(Z)
| cons(Z,nil) != Y
| sk5 != Z ),
inference('REWRITE',[status(thm)],[4457,5656,theory(equality)]) ).
cnf(55554,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[5657,co1_2,195,193,theory(equality),theory(equality),theory(equality)]),1560]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWC416-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 12 02:29:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.43 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 *
% 0.19/0.44 *
% 0.19/0.45 #<PACKAGE "SNARK-USER">
% 0.19/0.45 *
% 0.19/0.45 SNARK-TPTP-OPTIONS
% 0.19/0.45 *
% 0.19/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.45 (USE-FACTORING :POS)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.45 *
% 0.19/0.45 "."
% 0.19/0.45 *
% 0.19/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T02:29:53
% 0.19/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-12T02:29:53
% 67.75/67.94
% 67.75/67.94
% 67.75/67.94 #||
% 67.75/67.94 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 67.75/67.94 % SZS output start Refutation
% See solution above
% 67.75/67.95 ||#
% 67.75/67.95
% 67.75/67.95 ; Summary of computation:
% 67.75/67.95 ; 111260 formulas have been input or derived (from 178 formulas).
% 67.75/67.95 ; 55554 (50%) were retained. Of these,
% 67.75/67.95 ; 2669 ( 5%) were simplified or subsumed later,
% 67.75/67.95 ; 52885 (95%) are still being kept.
% 67.75/67.95 ;
% 67.75/67.95 ; Run time in seconds excluding printing time:
% 67.75/67.95 ; 0.037 0% Read assertion file (1 call)
% 67.75/67.95 ; 0.006 0% Assert (199 calls)
% 67.75/67.95 ; 5.850 9% Process new row (106,727 calls)
% 67.75/67.95 ; 53.397 79% Resolution (354 calls)
% 67.75/67.95 ; 0.047 0% Paramodulation (177 calls)
% 67.75/67.95 ; 0.028 0% Condensing (3,308 calls)
% 67.75/67.95 ; 0.077 0% Forward subsumption (3,308 calls)
% 67.75/67.95 ; 0.161 0% Backward subsumption (3,276 calls)
% 67.75/67.95 ; 0.003 0% Clause clause subsumption (1,329 calls)
% 67.75/67.95 ; 2.770 4% Forward simplification (106,727 calls)
% 67.75/67.95 ; 4.013 6% Backward simplification (55,551 calls)
% 67.75/67.95 ; 0.683 1% Ordering (112,823 calls)
% 67.75/67.95 ; 0.000 0% Sortal reasoning (32 calls)
% 67.75/67.95 ; 0.001 0% Purity testing (1 call)
% 67.75/67.95 ; 0.414 1% Other
% 67.75/67.95 ; 67.487 Total
% 67.75/67.95 ; 67.497 Real time
% 67.75/67.95 ;
% 67.75/67.95 ; Term-hash-array has 147,172 terms in all.
% 67.75/67.95 ; Feature-vector-row-index has 3,227 entries (3,227 at peak, 3,276 added, 49 deleted).
% 67.75/67.95 ; Feature-vector-row-index has 4,529 nodes (4,529 at peak, 4,894 added, 365 deleted).
% 67.75/67.95 ; Retrieved 12,055 possibly forward subsuming rows in 3,308 calls.
% 67.75/67.95 ; Retrieved 11,423 possibly backward subsumed rows in 3,276 calls.
% 67.75/67.95 ; Path-index has 143,411 entries (143,411 at peak, 147,272 added, 3,861 deleted).
% 67.75/67.95 ; Path-index has 8,725 nodes (8,725 at peak, 9,278 added, 553 deleted).
% 67.75/67.95 ; Trie-index has 143,411 entries (143,411 at peak, 147,272 added, 3,861 deleted).
% 67.75/67.95 ; Trie-index has 698,206 nodes (698,206 at peak, 709,556 added, 11,350 deleted).
% 67.75/67.95 ; Retrieved 98,270 generalization terms in 551,470 calls.
% 67.75/67.95 ; Retrieved 95,860 instance terms in 94,556 calls.
% 67.75/67.95 ; Retrieved 178,036,206 unifiable terms in 3,932,865 calls.
% 67.75/67.95 ;
% 67.75/67.95 ; The agenda of rows to process has 1 entry:
% 67.75/67.95 ; 1 with value 34
% 67.75/67.95 ; The agenda of input rows to give has 14 entries:
% 67.75/67.95 ; 7 with value 32 1 with value 35 3 with value 44
% 67.75/67.95 ; 1 with value 33 2 with value 40
% 67.75/67.95 ; The agenda of rows to give has 52694 entries:
% 67.75/67.95 ; 44 with value (4 5) 1696 with value (4 15) 9498 with value (4 24)
% 67.75/67.95 ; 110 with value (4 7) 660 with value (4 16) 7121 with value (4 25)
% 67.75/67.95 ; 189 with value (4 8) 2432 with value (4 17) 2502 with value (4 26)
% 67.75/67.95 ; 231 with value (4 9) 2374 with value (4 18) 3906 with value (4 27)
% 67.75/67.95 ; 528 with value (4 10) 247 with value (4 19) 222 with value (4 28)
% 67.75/67.95 ; 391 with value (4 11) 3690 with value (4 20) 576 with value (4 29)
% 67.75/67.95 ; 249 with value (4 12) 552 with value (4 21) 21 with value (4 33)
% 67.75/67.95 ; 763 with value (4 13) 12426 with value (4 22) 6 with value (4 39)
% 67.75/67.95 ; 667 with value (4 14) 1593 with value (4 23)
% 67.75/67.95 Evaluation took:
% 67.75/67.95 67.5 seconds of real time
% 67.75/67.95 66.13459 seconds of user run time
% 67.75/67.95 1.358034 seconds of system run time
% 67.75/67.95 [Run times include 9.458 seconds GC run time.]
% 67.75/67.95 0 calls to %EVAL
% 67.75/67.95 0 page faults and
% 67.75/67.95 5,059,279,024 bytes consed.
% 67.75/67.95 :PROOF-FOUND
% 67.75/67.95 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T02:31:00
% 67.75/67.95 :PROOF-FOUND
% 67.75/67.95 *
%------------------------------------------------------------------------------