TSTP Solution File: SWC014-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWC014-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 21:56:23 EDT 2022
% Result : Unsatisfiable 3.76s 3.94s
% Output : Refutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of clauses : 28 ( 15 unt; 2 nHn; 28 RR)
% Number of literals : 62 ( 27 equ; 38 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(clause96,axiom,
( ~ ssItem(X)
| ~ ssList(Y)
| tl(cons(X,Y)) = Y ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause96) ).
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_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_14,negated_conjecture,
( ~ ssList(X)
| sk2 != X
| ~ ssList(Y)
| tl(sk2) != Y
| app(sk1,Y) != X
| ~ neq(nil,sk2)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
cnf(191,plain,
( ~ ssList(X)
| sk2 != X
| ~ ssList(Y)
| tl(sk2) != Y
| app(sk1,Y) != X
| ~ neq(nil,sk2) ),
inference('REWRITE',[status(thm)],[co1_14,co1_7,co1_5,theory(equality)]) ).
cnf(co1_15,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
cnf(193,plain,
ssItem(sk5),
inference('REWRITE',[status(thm)],[co1_15,co1_7,co1_5,theory(equality)]) ).
cnf(co1_16,negated_conjecture,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
cnf(195,plain,
ssList(sk6),
inference('REWRITE',[status(thm)],[co1_16,co1_7,co1_5,theory(equality)]) ).
cnf(co1_17,negated_conjecture,
( cons(sk5,nil) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
cnf(197,plain,
cons(sk5,nil) = sk1,
inference('REWRITE',[status(thm)],[co1_17,co1_7,co1_5,co1_6,theory(equality)]) ).
cnf(co1_18,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk4
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
cnf(199,plain,
app(sk1,sk6) = sk2,
inference('REWRITE',[status(thm)],[co1_18,co1_7,co1_5,197,theory(equality)]) ).
cnf(3350,plain,
( neq(nil,sk2)
| nil = sk2 ),
inference('HYPERRESOLVE',[status(thm)],[clause100,co1_2,clause8]) ).
cnf(4640,plain,
nil != sk2,
inference('UR-RESOLVE',[status(thm)],[clause115,co1_7,clause8,co1_2]) ).
cnf(4643,plain,
neq(nil,sk2),
inference('REWRITE',[status(thm)],[3350,4640]) ).
cnf(4644,plain,
( ~ ssList(X)
| sk2 != X
| ~ ssList(Y)
| tl(sk2) != Y
| app(sk1,Y) != X ),
inference('REWRITE',[status(thm)],[191,4643]) ).
cnf(4694,plain,
tl(cons(sk5,sk6)) = sk6,
inference('HYPERRESOLVE',[status(thm)],[clause96,193,195]) ).
cnf(5871,plain,
sk2 = cons(sk5,sk6),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause120,193,195]),199,197,theory(equality)]) ).
cnf(5875,plain,
tl(sk2) = sk6,
inference('REWRITE',[status(thm)],[4694,5871,theory(equality)]) ).
cnf(5876,plain,
( ~ ssList(X)
| sk2 != X
| ~ ssList(Y)
| sk6 != Y
| app(sk1,Y) != X ),
inference('REWRITE',[status(thm)],[4644,5875,theory(equality)]) ).
cnf(10577,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[5876,co1_2,195,199,theory(equality),theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWC014-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jun 12 12:48:05 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49 *
% 0.20/0.49 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T12:48:05
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-12T12:48:05
% 3.76/3.94
% 3.76/3.94
% 3.76/3.94 #||
% 3.76/3.94 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.76/3.94 % SZS output start Refutation
% See solution above
% 3.76/3.95 ||#
% 3.76/3.95
% 3.76/3.95 ; Summary of computation:
% 3.76/3.95 ; 15169 formulas have been input or derived (from 158 formulas).
% 3.76/3.95 ; 10577 (70%) were retained. Of these,
% 3.76/3.95 ; 2766 (26%) were simplified or subsumed later,
% 3.76/3.95 ; 7811 (74%) are still being kept.
% 3.76/3.95 ;
% 3.76/3.95 ; Run time in seconds excluding printing time:
% 3.76/3.95 ; 0.038 1% Read assertion file (1 call)
% 3.76/3.95 ; 0.006 0% Assert (203 calls)
% 3.76/3.95 ; 0.642 19% Process new row (15,148 calls)
% 3.76/3.95 ; 2.210 64% Resolution (314 calls)
% 3.76/3.95 ; 0.002 0% Paramodulation (157 calls)
% 3.76/3.95 ; 0.018 1% Condensing (2,522 calls)
% 3.76/3.95 ; 0.035 1% Forward subsumption (2,522 calls)
% 3.76/3.95 ; 0.059 2% Backward subsumption (2,492 calls)
% 3.76/3.95 ; 0.003 0% Clause clause subsumption (1,380 calls)
% 3.76/3.95 ; 0.183 5% Forward simplification (15,148 calls)
% 3.76/3.95 ; 0.154 4% Backward simplification (10,572 calls)
% 3.76/3.95 ; 0.018 1% Ordering (6,157 calls)
% 3.76/3.95 ; 0.000 0% Sortal reasoning (32 calls)
% 3.76/3.95 ; 0.001 0% Purity testing (1 call)
% 3.76/3.95 ; 0.081 2% Other
% 3.76/3.95 ; 3.450 Total
% 3.76/3.95 ; 3.458 Real time
% 3.76/3.95 ;
% 3.76/3.95 ; Term-hash-array has 17,376 terms in all.
% 3.76/3.95 ; Feature-vector-row-index has 2,441 entries (2,441 at peak, 2,492 added, 51 deleted).
% 3.76/3.95 ; Feature-vector-row-index has 2,644 nodes (2,644 at peak, 3,010 added, 366 deleted).
% 3.76/3.95 ; Retrieved 9,393 possibly forward subsuming rows in 2,522 calls.
% 3.76/3.95 ; Retrieved 9,280 possibly backward subsumed rows in 2,492 calls.
% 3.76/3.95 ; Path-index has 13,486 entries (13,486 at peak, 17,479 added, 3,993 deleted).
% 3.76/3.95 ; Path-index has 5,919 nodes (5,919 at peak, 6,494 added, 575 deleted).
% 3.76/3.95 ; Trie-index has 13,486 entries (13,486 at peak, 17,479 added, 3,993 deleted).
% 3.76/3.95 ; Trie-index has 38,096 nodes (38,096 at peak, 49,661 added, 11,565 deleted).
% 3.76/3.95 ; Retrieved 6,001 generalization terms in 43,727 calls.
% 3.76/3.95 ; Retrieved 8,166 instance terms in 8,079 calls.
% 3.76/3.95 ; Retrieved 8,023,309 unifiable terms in 212,705 calls.
% 3.76/3.95 ;
% 3.76/3.95 ; The agenda of rows to process has 7 entries:
% 3.76/3.95 ; 2 with value 4 1 with value 7 1 with value 19
% 3.76/3.95 ; 2 with value 5 1 with value 8
% 3.76/3.95 ; The agenda of input rows to give has 36 entries:
% 3.76/3.95 ; 5 with value 22 3 with value 26 1 with value 33
% 3.76/3.95 ; 2 with value 23 1 with value 27 1 with value 35
% 3.76/3.95 ; 2 with value 24 1 with value 29 2 with value 40
% 3.76/3.95 ; 8 with value 25 7 with value 32 3 with value 44
% 3.76/3.95 ; The agenda of rows to give has 7618 entries:
% 3.76/3.95 ; 8 with value (4 4) 836 with value (4 13) 153 with value (4 20)
% 3.76/3.95 ; 57 with value (4 5) 536 with value (4 14) 462 with value (4 21)
% 3.76/3.95 ; 108 with value (4 7) 1603 with value (4 15) 126 with value (4 22)
% 3.76/3.95 ; 195 with value (4 8) 249 with value (4 16) 18 with value (4 23)
% 3.76/3.95 ; 277 with value (4 9) 1017 with value (4 17) 147 with value (4 24)
% 3.76/3.95 ; 585 with value (4 10) 412 with value (4 18) 42 with value (4 25)
% 3.76/3.95 ; 407 with value (4 11) 138 with value (4 19) 6 with value (4 28)
% 3.76/3.95 ; 236 with value (4 12)
% 3.76/3.95 Evaluation took:
% 3.76/3.95 3.459 seconds of real time
% 3.76/3.95 3.321477 seconds of user run time
% 3.76/3.95 0.137777 seconds of system run time
% 3.76/3.95 [Run times include 0.335 seconds GC run time.]
% 3.76/3.95 0 calls to %EVAL
% 3.76/3.95 0 page faults and
% 3.76/3.95 315,187,440 bytes consed.
% 3.76/3.95 :PROOF-FOUND
% 3.76/3.95 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T12:48:08
% 3.76/3.95 :PROOF-FOUND
% 3.76/3.95 *
%------------------------------------------------------------------------------