TSTP Solution File: SWC126-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWC126-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n009.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 21:57:03 EDT 2022
% Result : Unsatisfiable 58.58s 58.80s
% Output : Refutation 58.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 18
% Syntax : Number of clauses : 30 ( 19 unt; 1 nHn; 26 RR)
% Number of literals : 54 ( 15 equ; 29 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 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(clause98,axiom,
( cons(X,Y) != nil
| ~ ssItem(X)
| ~ ssList(Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause98) ).
cnf(clause100,axiom,
( ~ ssList(X)
| ~ ssList(Y)
| neq(Y,X)
| Y = X ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).
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_13,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
cnf(191,plain,
ssItem(sk5),
inference('REWRITE',[status(thm)],[co1_13,co1_7,co1_5,theory(equality)]) ).
cnf(co1_14,negated_conjecture,
( cons(sk5,nil) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
cnf(193,plain,
cons(sk5,nil) = sk1,
inference('REWRITE',[status(thm)],[co1_14,co1_7,co1_5,co1_6,theory(equality)]) ).
cnf(co1_15,negated_conjecture,
( memberP(sk4,sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
cnf(195,plain,
memberP(sk2,sk5),
inference('REWRITE',[status(thm)],[co1_15,co1_7,co1_5,theory(equality)]) ).
cnf(co1_16,negated_conjecture,
( ~ neq(sk1,nil)
| ~ segmentP(sk2,sk1)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
cnf(197,plain,
( ~ neq(sk1,nil)
| ~ segmentP(sk2,sk1) ),
inference('REWRITE',[status(thm)],[co1_16,co1_7,co1_5,theory(equality)]) ).
cnf(2156,plain,
nil != sk1,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[clause98,191,clause8]),193,theory(equality)]) ).
cnf(3222,plain,
neq(sk1,nil),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause100,clause8,co1_1]),2156]) ).
cnf(3223,plain,
~ segmentP(sk2,sk1),
inference('REWRITE',[status(thm)],[197,3222]) ).
cnf(6238,plain,
app(sk1,skaf43(X,Y)) = cons(sk5,skaf43(X,Y)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause120,191,clause52]),193,theory(equality)]) ).
cnf(27019,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(52776,plain,
app(app(skaf42(sk2,sk5),sk1),skaf43(sk5,sk2)) = sk2,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause169,195,191,co1_2]),27019,6238,theory(equality)]) ).
cnf(56352,plain,
app(app(skaf42(X,Y),sk1),skaf43(Z,U)) != sk2,
inference('UR-RESOLVE',[status(thm)],[clause173,clause52,clause53,co1_1,co1_2,3223]) ).
cnf(56353,plain,
$false,
inference('REWRITE',[status(thm)],[52776,56352]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC126-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n009.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 : Sat Jun 11 23:23:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 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 2022-06-11T23:23:08
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-06-11T23:23:08
% 58.58/58.80
% 58.58/58.80
% 58.58/58.80 #||
% 58.58/58.80 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 58.58/58.80 % SZS output start Refutation
% See solution above
% 58.58/58.80 ||#
% 58.58/58.80
% 58.58/58.80 ; Summary of computation:
% 58.58/58.80 ; 112297 formulas have been input or derived (from 177 formulas).
% 58.58/58.80 ; 56353 (50%) were retained. Of these,
% 58.58/58.80 ; 2670 ( 5%) were simplified or subsumed later,
% 58.58/58.80 ; 53683 (95%) are still being kept.
% 58.58/58.80 ;
% 58.58/58.80 ; Run time in seconds excluding printing time:
% 58.58/58.80 ; 0.036 0% Read assertion file (1 call)
% 58.58/58.80 ; 0.005 0% Assert (201 calls)
% 58.58/58.80 ; 5.698 10% Process new row (107,733 calls)
% 58.58/58.80 ; 45.516 78% Resolution (352 calls)
% 58.58/58.80 ; 0.043 0% Paramodulation (176 calls)
% 58.58/58.80 ; 0.020 0% Condensing (3,211 calls)
% 58.58/58.80 ; 0.104 0% Forward subsumption (3,211 calls)
% 58.58/58.80 ; 0.188 0% Backward subsumption (3,179 calls)
% 58.58/58.80 ; 0.004 0% Clause clause subsumption (1,324 calls)
% 58.58/58.80 ; 2.183 4% Forward simplification (107,733 calls)
% 58.58/58.80 ; 3.499 6% Backward simplification (56,349 calls)
% 58.58/58.80 ; 0.659 1% Ordering (113,374 calls)
% 58.58/58.80 ; 0.001 0% Sortal reasoning (32 calls)
% 58.58/58.80 ; 0.001 0% Purity testing (1 call)
% 58.58/58.80 ; 0.378 1% Other
% 58.58/58.80 ; 58.335 Total
% 58.58/58.80 ; 58.340 Real time
% 58.58/58.81 ;
% 58.58/58.81 ; Term-hash-array has 146,764 terms in all.
% 58.58/58.81 ; Feature-vector-row-index has 3,130 entries (3,132 at peak, 3,179 added, 49 deleted).
% 58.58/58.81 ; Feature-vector-row-index has 4,073 nodes (4,077 at peak, 4,426 added, 353 deleted).
% 58.58/58.81 ; Retrieved 11,988 possibly forward subsuming rows in 3,211 calls.
% 58.58/58.81 ; Retrieved 11,356 possibly backward subsumed rows in 3,179 calls.
% 58.58/58.81 ; Path-index has 143,003 entries (143,008 at peak, 146,860 added, 3,857 deleted).
% 58.58/58.81 ; Path-index has 7,369 nodes (7,383 at peak, 7,939 added, 570 deleted).
% 58.58/58.81 ; Trie-index has 143,003 entries (143,008 at peak, 146,860 added, 3,857 deleted).
% 58.58/58.81 ; Trie-index has 693,270 nodes (693,290 at peak, 704,629 added, 11,359 deleted).
% 58.58/58.81 ; Retrieved 99,593 generalization terms in 556,410 calls.
% 58.58/58.81 ; Retrieved 96,756 instance terms in 95,451 calls.
% 58.58/58.81 ; Retrieved 147,633,845 unifiable terms in 3,337,047 calls.
% 58.58/58.81 ;
% 58.58/58.81 ; The agenda of rows to process has 29 entries:
% 58.58/58.81 ; 29 with value 16
% 58.58/58.81 ; The agenda of input rows to give has 17 entries:
% 58.58/58.81 ; 1 with value 26 7 with value 32 2 with value 40
% 58.58/58.81 ; 1 with value 27 1 with value 33 3 with value 44
% 58.58/58.81 ; 1 with value 29 1 with value 35
% 58.58/58.81 ; The agenda of rows to give has 53491 entries:
% 58.58/58.81 ; 8 with value (4 4) 834 with value (4 13) 12207 with value (4 22)
% 58.58/58.81 ; 47 with value (4 5) 1094 with value (4 14) 1593 with value (4 23)
% 58.58/58.81 ; 2 with value (4 6) 1884 with value (4 15) 9282 with value (4 24)
% 58.58/58.81 ; 101 with value (4 7) 668 with value (4 16) 7119 with value (4 25)
% 58.58/58.81 ; 196 with value (4 8) 2391 with value (4 17) 2466 with value (4 26)
% 58.58/58.81 ; 229 with value (4 9) 2450 with value (4 18) 3906 with value (4 27)
% 58.58/58.81 ; 653 with value (4 10) 246 with value (4 19) 222 with value (4 28)
% 58.58/58.81 ; 433 with value (4 11) 4050 with value (4 20) 576 with value (4 29)
% 58.58/58.81 ; 282 with value (4 12) 552 with value (4 21)
% 58.58/58.81 Evaluation took:
% 58.58/58.81 58.344 seconds of real time
% 58.58/58.81 57.148018 seconds of user run time
% 58.58/58.81 1.193023 seconds of system run time
% 58.58/58.81 [Run times include 7.173 seconds GC run time.]
% 58.58/58.81 0 calls to %EVAL
% 58.58/58.81 0 page faults and
% 58.58/58.81 4,515,061,064 bytes consed.
% 58.58/58.81 :PROOF-FOUND
% 58.58/58.81 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-11T23:24:06
% 58.58/58.81 :PROOF-FOUND
% 58.58/58.81 *
%------------------------------------------------------------------------------