TSTP Solution File: SWC181-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWC181-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 21:57:24 EDT 2022
% Result : Unsatisfiable 76.96s 77.10s
% Output : Refutation 76.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of clauses : 24 ( 15 unt; 4 nHn; 16 RR)
% Number of literals : 50 ( 12 equ; 26 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 35 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause18,axiom,
ssList(skaf77(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause18) ).
cnf(clause19,axiom,
ssList(skaf76(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause19) ).
cnf(clause20,axiom,
ssList(skaf75(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause20) ).
cnf(clause63,axiom,
( ~ lt(X,X)
| ~ ssItem(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause63) ).
cnf(clause72,axiom,
( ~ ssList(X)
| duplicatefreeP(X)
| ssItem(Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause72) ).
cnf(clause120,axiom,
( ~ ssItem(X)
| ~ ssList(Y)
| app(cons(X,nil),Y) = cons(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause120) ).
cnf(clause162,axiom,
( ~ ssList(X)
| duplicatefreeP(X)
| app(app(skaf75(X),cons(skaf74(X),skaf76(X))),cons(skaf74(X),skaf77(X))) = X ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause162) ).
cnf(clause181,axiom,
( app(app(X,cons(Y,Z)),cons(U,V)) != W
| ~ ssList(V)
| ~ ssList(Z)
| ~ ssList(X)
| ~ ssItem(U)
| ~ ssItem(Y)
| ~ strictorderedP(W)
| ~ ssList(W)
| lt(Y,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause181) ).
cnf(co1_1,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
cnf(co1_10,negated_conjecture,
strictorderedP(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
cnf(194,plain,
strictorderedP(sk1),
inference('REWRITE',[status(thm)],[co1_10,co1_6,theory(equality)]) ).
cnf(co1_13,negated_conjecture,
~ duplicatefreeP(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
cnf(578,plain,
ssItem(X),
inference('UR-RESOLVE',[status(thm)],[clause72,co1_1,co1_13]) ).
cnf(590,plain,
( app(app(X,cons(Y,Z)),cons(U,V)) != W
| ~ ssList(V)
| ~ ssList(Z)
| ~ ssList(X)
| ~ strictorderedP(W)
| ~ ssList(W)
| lt(Y,U) ),
inference('REWRITE',[status(thm)],[clause181,578]) ).
cnf(596,plain,
~ lt(X,X),
inference('REWRITE',[status(thm)],[clause63,578]) ).
cnf(621,plain,
( ~ ssList(X)
| app(cons(Y,nil),X) = cons(Y,X) ),
inference('REWRITE',[status(thm)],[clause120,578]) ).
cnf(2109,plain,
app(cons(X,nil),skaf76(Y)) = cons(X,skaf76(Y)),
inference('HYPERRESOLVE',[status(thm)],[621,clause19]) ).
cnf(2116,plain,
( ~ ssList(X)
| duplicatefreeP(X)
| app(app(skaf75(X),app(cons(skaf74(X),nil),skaf76(X))),cons(skaf74(X),skaf77(X))) = X ),
inference('REWRITE',[status(thm)],[clause162,2109,theory(equality)]) ).
cnf(2117,plain,
app(cons(X,nil),skaf77(Y)) = cons(X,skaf77(Y)),
inference('HYPERRESOLVE',[status(thm)],[621,clause18]) ).
cnf(2118,plain,
( ~ ssList(X)
| duplicatefreeP(X)
| app(app(skaf75(X),app(cons(skaf74(X),nil),skaf76(X))),app(cons(skaf74(X),nil),skaf77(X))) = X ),
inference('REWRITE',[status(thm)],[2116,2117,theory(equality)]) ).
cnf(76020,plain,
app(app(skaf75(sk1),app(cons(skaf74(sk1),nil),skaf76(sk1))),app(cons(skaf74(sk1),nil),skaf77(sk1))) = sk1,
inference('UR-RESOLVE',[status(thm)],[2118,co1_1,co1_13]) ).
cnf(96534,plain,
app(app(skaf75(X),app(cons(Y,nil),skaf76(Z))),app(cons(Y,nil),skaf77(U))) != sk1,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[590,clause18,clause19,clause20,194,co1_1,596]),2117,2109,theory(equality)]) ).
cnf(96535,plain,
$false,
inference('REWRITE',[status(thm)],[76020,96534]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC181-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jun 12 07:16:42 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.47 #<PACKAGE "SNARK-USER">
% 0.21/0.47 *
% 0.21/0.47 SNARK-TPTP-OPTIONS
% 0.21/0.47 *
% 0.21/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.47 (USE-FACTORING :POS)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.47 *
% 0.21/0.47 "."
% 0.21/0.47 *
% 0.21/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T07:16:42
% 0.21/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-12T07:16:42
% 76.96/77.10
% 76.96/77.10
% 76.96/77.10 #||
% 76.96/77.10 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 76.96/77.10 % SZS output start Refutation
% See solution above
% 76.96/77.10 ||#
% 76.96/77.10
% 76.96/77.10 ; Summary of computation:
% 76.96/77.10 ; 184000 formulas have been input or derived (from 199 formulas).
% 76.96/77.10 ; 96535 (52%) were retained. Of these,
% 76.96/77.10 ; 484 ( 1%) were simplified or subsumed later,
% 76.96/77.10 ; 96051 (99%) are still being kept.
% 76.96/77.10 ;
% 76.96/77.10 ; Run time in seconds excluding printing time:
% 76.96/77.10 ; 0.037 0% Read assertion file (1 call)
% 76.96/77.10 ; 0.007 0% Assert (199 calls)
% 76.96/77.10 ; 11.530 15% Process new row (155,372 calls)
% 76.96/77.10 ; 50.627 66% Resolution (396 calls)
% 76.96/77.10 ; 0.023 0% Paramodulation (198 calls)
% 76.96/77.10 ; 0.000 0% Factoring (1 call)
% 76.96/77.10 ; 0.025 0% Condensing (2,538 calls)
% 76.96/77.10 ; 0.073 0% Forward subsumption (2,538 calls)
% 76.96/77.10 ; 0.136 0% Backward subsumption (2,534 calls)
% 76.96/77.10 ; 0.000 0% Clause clause subsumption (149 calls)
% 76.96/77.10 ; 3.789 5% Forward simplification (155,340 calls)
% 76.96/77.10 ; 9.352 12% Backward simplification (96,530 calls)
% 76.96/77.10 ; 0.517 1% Ordering (104,808 calls)
% 76.96/77.10 ; 0.000 0% Sortal reasoning (32 calls)
% 76.96/77.10 ; 0.000 0% Purity testing (1 call)
% 76.96/77.10 ; 0.521 1% Other
% 76.96/77.10 ; 76.637 Total
% 76.96/77.10 ; 76.631 Real time
% 76.96/77.11 ;
% 76.96/77.11 ; Term-hash-array has 205,408 terms in all.
% 76.96/77.11 ; Feature-vector-row-index has 2,448 entries (2,448 at peak, 2,534 added, 86 deleted).
% 76.96/77.11 ; Feature-vector-row-index has 6,723 nodes (6,723 at peak, 7,247 added, 524 deleted).
% 76.96/77.11 ; Retrieved 5,624 possibly forward subsuming rows in 2,538 calls.
% 76.96/77.11 ; Retrieved 5,061 possibly backward subsumed rows in 2,534 calls.
% 76.96/77.11 ; Path-index has 204,877 entries (204,887 at peak, 205,558 added, 681 deleted).
% 76.96/77.11 ; Path-index has 18,727 nodes (18,747 at peak, 19,487 added, 760 deleted).
% 76.96/77.11 ; Trie-index has 204,877 entries (204,887 at peak, 205,558 added, 681 deleted).
% 76.96/77.11 ; Trie-index has 740,272 nodes (740,323 at peak, 742,318 added, 2,046 deleted).
% 76.96/77.11 ; Retrieved 220,222 generalization terms in 991,050 calls.
% 76.96/77.11 ; Retrieved 140,836 instance terms in 139,193 calls.
% 76.96/77.11 ; Retrieved 107,896,378 unifiable terms in 3,109,100 calls.
% 76.96/77.11 ;
% 76.96/77.11 ; The agenda of rows to process has 24569 entries:
% 76.96/77.11 ; 3005 with value 20 4536 with value 22 432 with value 23
% 76.96/77.11 ; 16596 with value 21
% 76.96/77.11 ; The agenda of input rows to give has 4 entries:
% 76.96/77.11 ; 1 with value 34 3 with value 38
% 76.96/77.11 ; The agenda of rows to give has 95877 entries:
% 76.96/77.11 ; 1 with value (4 4) 457 with value (4 15) 8620 with value (4 25)
% 76.96/77.11 ; 32 with value (4 5) 1406 with value (4 16) 4698 with value (4 26)
% 76.96/77.11 ; 80 with value (4 7) 1913 with value (4 17) 342 with value (4 27)
% 76.96/77.11 ; 94 with value (4 8) 3259 with value (4 18) 222 with value (4 28)
% 76.96/77.11 ; 169 with value (4 9) 1528 with value (4 19) 36 with value (4 29)
% 76.96/77.11 ; 520 with value (4 10) 8334 with value (4 20) 22 with value (4 30)
% 76.96/77.11 ; 341 with value (4 11) 2188 with value (4 21) 21 with value (4 33)
% 76.96/77.11 ; 108 with value (4 12) 16014 with value (4 22) 132 with value (4 39)
% 76.96/77.11 ; 120 with value (4 13) 12204 with value (4 23) 36 with value (4 46)
% 76.96/77.11 ; 198 with value (4 14) 32782 with value (4 24)
% 76.96/77.11 Evaluation took:
% 76.96/77.11 76.636 seconds of real time
% 76.96/77.11 74.88046 seconds of user run time
% 76.96/77.11 1.763966 seconds of system run time
% 76.96/77.11 [Run times include 10.533 seconds GC run time.]
% 76.96/77.11 0 calls to %EVAL
% 76.96/77.11 0 page faults and
% 76.96/77.11 4,734,902,096 bytes consed.
% 76.96/77.11 :PROOF-FOUND
% 76.96/77.11 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T07:17:59
% 76.96/77.11 :PROOF-FOUND
% 76.96/77.11 *
%------------------------------------------------------------------------------