TSTP Solution File: SWC380-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWC380-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 21:58:32 EDT 2022
% Result : Unsatisfiable 2.72s 2.93s
% Output : Refutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 18 ( 10 unt; 0 nHn; 18 RR)
% Number of literals : 33 ( 11 equ; 18 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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(clause138,axiom,
( Y != X
| ~ ssList(Z)
| ~ ssItem(Y)
| ~ ssItem(X)
| memberP(cons(Y,Z),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause138) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
cnf(co1_7,negated_conjecture,
neq(sk2,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
cnf(co1_14,negated_conjecture,
( ~ ssItem(X)
| cons(X,nil) != sk1
| ~ memberP(sk2,X)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
cnf(191,plain,
( ~ ssItem(X)
| cons(X,nil) != sk1
| ~ memberP(sk2,X) ),
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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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(4693,plain,
~ memberP(sk2,sk5),
inference('UR-RESOLVE',[status(thm)],[191,193,197]) ).
cnf(5871,plain,
sk2 = cons(sk5,sk6),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause120,193,195]),199,197,theory(equality)]) ).
cnf(10014,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause138,195,193,193,theory(equality)]),4693,5871,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14 % Problem : SWC380-1 : TPTP v8.1.0. Released v2.4.0.
% 0.05/0.15 % Command : run-snark %s %d
% 0.15/0.36 % Computer : n008.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sat Jun 11 22:34:52 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.21/0.51 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.52 *
% 0.21/0.52 *
% 0.21/0.52 #<PACKAGE "SNARK-USER">
% 0.21/0.52 *
% 0.21/0.52 SNARK-TPTP-OPTIONS
% 0.21/0.52 *
% 0.21/0.52 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.52 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.52 (USE-FACTORING :POS)
% 0.21/0.52 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.52 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.52 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.52 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.52 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.52 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.52 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.52 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.52 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.52 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.52 *
% 0.21/0.52 "."
% 0.21/0.52 *
% 0.21/0.52 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-11T22:34:52
% 0.21/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-11T22:34:52
% 2.72/2.93
% 2.72/2.93
% 2.72/2.93 #||
% 2.72/2.93 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.72/2.93 % SZS output start Refutation
% See solution above
% 2.72/2.93 ||#
% 2.72/2.93
% 2.72/2.93 ; Summary of computation:
% 2.72/2.93 ; 15121 formulas have been input or derived (from 143 formulas).
% 2.72/2.93 ; 10014 (66%) were retained. Of these,
% 2.72/2.93 ; 2764 (28%) were simplified or subsumed later,
% 2.72/2.93 ; 7250 (72%) are still being kept.
% 2.72/2.93 ;
% 2.72/2.93 ; Run time in seconds excluding printing time:
% 2.72/2.93 ; 0.039 2% Read assertion file (1 call)
% 2.72/2.93 ; 0.007 0% Assert (203 calls)
% 2.72/2.93 ; 0.575 24% Process new row (13,996 calls)
% 2.72/2.93 ; 1.203 50% Resolution (284 calls)
% 2.72/2.93 ; 0.003 0% Paramodulation (142 calls)
% 2.72/2.93 ; 0.014 1% Condensing (2,490 calls)
% 2.72/2.93 ; 0.045 2% Forward subsumption (2,490 calls)
% 2.72/2.93 ; 0.073 3% Backward subsumption (2,488 calls)
% 2.72/2.93 ; 0.002 0% Clause clause subsumption (1,349 calls)
% 2.72/2.93 ; 0.133 6% Forward simplification (13,996 calls)
% 2.72/2.93 ; 0.217 9% Backward simplification (10,009 calls)
% 2.72/2.93 ; 0.020 1% Ordering (6,152 calls)
% 2.72/2.93 ; 0.001 0% Sortal reasoning (32 calls)
% 2.72/2.93 ; 0.000 0% Purity testing (1 call)
% 2.72/2.93 ; 0.076 3% Other
% 2.72/2.93 ; 2.408 Total
% 2.72/2.93 ; 2.409 Real time
% 2.72/2.93 ;
% 2.72/2.93 ; Term-hash-array has 16,812 terms in all.
% 2.72/2.93 ; Feature-vector-row-index has 2,439 entries (2,439 at peak, 2,488 added, 49 deleted).
% 2.72/2.93 ; Feature-vector-row-index has 2,640 nodes (2,640 at peak, 2,986 added, 346 deleted).
% 2.72/2.93 ; Retrieved 9,318 possibly forward subsuming rows in 2,490 calls.
% 2.72/2.93 ; Retrieved 9,280 possibly backward subsumed rows in 2,488 calls.
% 2.72/2.93 ; Path-index has 12,923 entries (12,923 at peak, 16,910 added, 3,987 deleted).
% 2.72/2.93 ; Path-index has 5,773 nodes (5,773 at peak, 6,348 added, 575 deleted).
% 2.72/2.93 ; Trie-index has 12,923 entries (12,923 at peak, 16,910 added, 3,987 deleted).
% 2.77/2.94 ; Trie-index has 35,832 nodes (35,832 at peak, 47,388 added, 11,556 deleted).
% 2.77/2.94 ; Retrieved 4,354 generalization terms in 38,183 calls.
% 2.77/2.94 ; Retrieved 7,607 instance terms in 7,520 calls.
% 2.77/2.94 ; Retrieved 4,220,054 unifiable terms in 95,866 calls.
% 2.77/2.94 ;
% 2.77/2.94 ; The agenda of rows to process has 1115 entries:
% 2.77/2.94 ; 23 with value 8 156 with value 11 180 with value 13
% 2.77/2.94 ; 126 with value 10 630 with value 12
% 2.77/2.94 ; The agenda of input rows to give has 51 entries:
% 2.77/2.94 ; 6 with value 20 8 with value 25 1 with value 33
% 2.77/2.94 ; 9 with value 21 3 with value 26 1 with value 35
% 2.77/2.94 ; 5 with value 22 1 with value 27 2 with value 40
% 2.77/2.94 ; 2 with value 23 1 with value 29 3 with value 44
% 2.77/2.94 ; 2 with value 24 7 with value 32
% 2.77/2.94 ; The agenda of rows to give has 7057 entries:
% 2.77/2.94 ; 8 with value (4 4) 824 with value (4 13) 153 with value (4 20)
% 2.77/2.94 ; 54 with value (4 5) 491 with value (4 14) 462 with value (4 21)
% 2.77/2.94 ; 108 with value (4 7) 1288 with value (4 15) 126 with value (4 22)
% 2.77/2.94 ; 191 with value (4 8) 159 with value (4 16) 18 with value (4 23)
% 2.77/2.94 ; 277 with value (4 9) 1017 with value (4 17) 147 with value (4 24)
% 2.77/2.94 ; 564 with value (4 10) 412 with value (4 18) 42 with value (4 25)
% 2.77/2.94 ; 380 with value (4 11) 138 with value (4 19) 6 with value (4 28)
% 2.77/2.94 ; 192 with value (4 12)
% 2.77/2.94 Evaluation took:
% 2.77/2.94 2.418 seconds of real time
% 2.77/2.94 2.277761 seconds of user run time
% 2.77/2.94 0.140047 seconds of system run time
% 2.77/2.94 [Run times include 0.27 seconds GC run time.]
% 2.77/2.94 0 calls to %EVAL
% 2.77/2.94 0 page faults and
% 2.77/2.94 201,357,888 bytes consed.
% 2.77/2.94 :PROOF-FOUND
% 2.77/2.94 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-11T22:34:55
% 2.77/2.94 :PROOF-FOUND
% 2.77/2.94 *
%------------------------------------------------------------------------------