TSTP Solution File: SWC383-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWC383-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 21:58:33 EDT 2022
% Result : Unsatisfiable 56.88s 57.06s
% Output : Refutation 56.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 18
% Syntax : Number of clauses : 32 ( 19 unt; 6 nHn; 28 RR)
% Number of literals : 58 ( 22 equ; 25 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 29 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(clause52,axiom,
ssList(skaf43(X,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause52) ).
cnf(clause53,axiom,
ssList(skaf42(X,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause53) ).
cnf(clause115,axiom,
( Y != X
| ~ neq(X,Y)
| ~ ssList(Y)
| ~ ssList(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause115) ).
cnf(clause116,axiom,
( cons(X,nil) != Y
| ~ ssItem(X)
| ~ ssList(Y)
| singletonP(Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause116) ).
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(clause149,axiom,
( ~ ssList(X)
| ~ ssList(Y)
| ~ ssList(Z)
| app(app(Z,Y),X) = app(Z,app(Y,X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause149) ).
cnf(clause169,axiom,
( ~ memberP(X,Y)
| ~ ssItem(Y)
| ~ ssList(X)
| app(skaf42(X,Y),cons(Y,skaf43(Y,X))) = X ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause169) ).
cnf(clause173,axiom,
( app(app(X,Y),Z) != U
| ~ ssList(Z)
| ~ ssList(X)
| ~ ssList(Y)
| ~ ssList(U)
| segmentP(U,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause173) ).
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_8,negated_conjecture,
( ssItem(sk5)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
cnf(191,plain,
( ssItem(sk5)
| nil = sk2 ),
inference('REWRITE',[status(thm)],[co1_8,co1_5,theory(equality)]) ).
cnf(co1_10,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
cnf(195,plain,
( cons(sk5,nil) = sk1
| nil = sk2 ),
inference('REWRITE',[status(thm)],[co1_10,co1_5,co1_6,theory(equality)]) ).
cnf(co1_11,negated_conjecture,
( memberP(sk4,sk5)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
cnf(197,plain,
( memberP(sk2,sk5)
| nil = sk2 ),
inference('REWRITE',[status(thm)],[co1_11,co1_5,theory(equality)]) ).
cnf(co1_16,negated_conjecture,
( ~ singletonP(sk1)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
cnf(4476,plain,
nil != sk2,
inference('UR-RESOLVE',[status(thm)],[clause115,co1_7,clause8,co1_2]) ).
cnf(4477,plain,
ssItem(sk5),
inference('REWRITE',[status(thm)],[191,4476]) ).
cnf(4478,plain,
cons(sk5,nil) = sk1,
inference('REWRITE',[status(thm)],[195,4476]) ).
cnf(4486,plain,
memberP(sk2,sk5),
inference('REWRITE',[status(thm)],[197,4476]) ).
cnf(5757,plain,
singletonP(sk1),
inference('HYPERRESOLVE',[status(thm)],[clause116,4478,4477,co1_1]) ).
cnf(5758,plain,
~ segmentP(sk2,sk1),
inference('REWRITE',[status(thm)],[co1_16,5757]) ).
cnf(6410,plain,
app(sk1,skaf43(X,Y)) = cons(sk5,skaf43(X,Y)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause120,4477,clause52]),4478,theory(equality)]) ).
cnf(27191,plain,
app(app(skaf42(X,Y),sk1),skaf43(Z,U)) = app(skaf42(X,Y),app(sk1,skaf43(Z,U))),
inference('HYPERRESOLVE',[status(thm)],[clause149,clause52,co1_1,clause53]) ).
cnf(52948,plain,
app(app(skaf42(sk2,sk5),sk1),skaf43(sk5,sk2)) = sk2,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause169,4486,4477,co1_2]),27191,6410,theory(equality)]) ).
cnf(56524,plain,
app(app(skaf42(X,Y),sk1),skaf43(Z,U)) != sk2,
inference('UR-RESOLVE',[status(thm)],[clause173,clause52,clause53,co1_1,co1_2,5758]) ).
cnf(56525,plain,
$false,
inference('REWRITE',[status(thm)],[52948,56524]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC383-1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n018.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 12:51:41 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T12:51:41
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-12T12:51:41
% 56.88/57.06
% 56.88/57.06
% 56.88/57.06 #||
% 56.88/57.06 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 56.88/57.06 % SZS output start Refutation
% See solution above
% 56.88/57.07 ||#
% 56.88/57.07
% 56.88/57.07 ; Summary of computation:
% 56.88/57.07 ; 112583 formulas have been input or derived (from 184 formulas).
% 56.88/57.07 ; 56525 (50%) were retained. Of these,
% 56.88/57.07 ; 2841 ( 5%) were simplified or subsumed later,
% 56.88/57.07 ; 53684 (95%) are still being kept.
% 56.88/57.07 ;
% 56.88/57.07 ; Run time in seconds excluding printing time:
% 56.88/57.07 ; 0.037 0% Read assertion file (1 call)
% 56.88/57.07 ; 0.007 0% Assert (201 calls)
% 56.88/57.07 ; 5.541 10% Process new row (108,012 calls)
% 56.88/57.07 ; 44.019 78% Resolution (366 calls)
% 56.88/57.07 ; 0.036 0% Paramodulation (183 calls)
% 56.88/57.07 ; 0.000 0% Factoring (6 calls)
% 56.88/57.07 ; 0.030 0% Condensing (3,448 calls)
% 56.88/57.07 ; 0.052 0% Forward subsumption (3,448 calls)
% 56.88/57.07 ; 0.261 0% Backward subsumption (3,347 calls)
% 56.88/57.07 ; 0.001 0% Clause clause subsumption (1,500 calls)
% 56.88/57.07 ; 2.053 4% Forward simplification (108,012 calls)
% 56.88/57.07 ; 3.544 6% Backward simplification (56,517 calls)
% 56.88/57.07 ; 0.598 1% Ordering (113,783 calls)
% 56.88/57.07 ; 0.000 0% Sortal reasoning (32 calls)
% 56.88/57.07 ; 0.001 0% Purity testing (1 call)
% 56.88/57.07 ; 0.406 1% Other
% 56.88/57.07 ; 56.586 Total
% 56.88/57.07 ; 56.602 Real time
% 56.88/57.07 ;
% 56.88/57.07 ; Term-hash-array has 146,778 terms in all.
% 56.88/57.07 ; Feature-vector-row-index has 3,131 entries (3,133 at peak, 3,347 added, 216 deleted).
% 56.88/57.07 ; Feature-vector-row-index has 4,079 nodes (4,083 at peak, 4,841 added, 762 deleted).
% 56.88/57.07 ; Retrieved 12,541 possibly forward subsuming rows in 3,448 calls.
% 56.88/57.07 ; Retrieved 11,549 possibly backward subsumed rows in 3,347 calls.
% 56.88/57.07 ; Path-index has 143,005 entries (143,010 at peak, 146,930 added, 3,925 deleted).
% 56.88/57.07 ; Path-index has 7,369 nodes (7,383 at peak, 7,954 added, 585 deleted).
% 56.88/57.07 ; Trie-index has 143,005 entries (143,010 at peak, 146,930 added, 3,925 deleted).
% 56.88/57.07 ; Trie-index has 693,272 nodes (693,292 at peak, 704,728 added, 11,456 deleted).
% 56.88/57.07 ; Retrieved 99,628 generalization terms in 555,361 calls.
% 56.88/57.07 ; Retrieved 96,756 instance terms in 95,451 calls.
% 56.88/57.07 ; Retrieved 147,639,460 unifiable terms in 3,337,220 calls.
% 56.88/57.07 ;
% 56.88/57.07 ; The agenda of rows to process has 29 entries:
% 56.88/57.07 ; 29 with value 16
% 56.88/57.07 ; The agenda of input rows to give has 17 entries:
% 56.88/57.07 ; 1 with value 26 7 with value 32 2 with value 40
% 56.88/57.07 ; 1 with value 27 1 with value 33 3 with value 44
% 56.88/57.07 ; 1 with value 29 1 with value 35
% 56.88/57.07 ; The agenda of rows to give has 53491 entries:
% 56.88/57.07 ; 8 with value (4 4) 834 with value (4 13) 12207 with value (4 22)
% 56.88/57.07 ; 47 with value (4 5) 1094 with value (4 14) 1593 with value (4 23)
% 56.88/57.07 ; 2 with value (4 6) 1884 with value (4 15) 9282 with value (4 24)
% 56.88/57.07 ; 101 with value (4 7) 668 with value (4 16) 7119 with value (4 25)
% 56.88/57.07 ; 196 with value (4 8) 2391 with value (4 17) 2466 with value (4 26)
% 56.88/57.07 ; 229 with value (4 9) 2450 with value (4 18) 3906 with value (4 27)
% 56.88/57.07 ; 653 with value (4 10) 246 with value (4 19) 222 with value (4 28)
% 56.88/57.07 ; 433 with value (4 11) 4050 with value (4 20) 576 with value (4 29)
% 56.88/57.07 ; 282 with value (4 12) 552 with value (4 21)
% 56.88/57.07 Evaluation took:
% 56.88/57.07 56.605 seconds of real time
% 56.88/57.07 55.428032 seconds of user run time
% 56.88/57.07 1.163164 seconds of system run time
% 56.88/57.07 [Run times include 7.326 seconds GC run time.]
% 56.88/57.07 0 calls to %EVAL
% 56.88/57.07 0 page faults and
% 56.88/57.07 4,517,400,344 bytes consed.
% 56.88/57.07 :PROOF-FOUND
% 56.88/57.07 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T12:52:38
% 56.88/57.07 :PROOF-FOUND
% 56.88/57.07 *
%------------------------------------------------------------------------------