TSTP Solution File: COL100-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL100-1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 : Fri Jul 15 00:41:51 EDT 2022
% Result : Unsatisfiable 0.19s 0.56s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of clauses : 18 ( 11 unt; 0 nHn; 17 RR)
% Number of literals : 31 ( 0 equ; 15 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-4 aty)
% Number of variables : 19 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(r_into_trancl,axiom,
( ~ member(pair(X,Y),Z)
| member(pair(X,Y),trancl(Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r_into_trancl) ).
cnf(trans_trancl,axiom,
trans(trancl(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_trancl) ).
cnf(transD,axiom,
( ~ trans(X)
| ~ member(pair(Y,Z),X)
| ~ member(pair(Z,U),X)
| member(pair(Y,U),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transD) ).
cnf(diamond_strip_lemmaD1,axiom,
( ~ diamond(X)
| ~ member(pair(Y,Z),trancl(X))
| ~ member(pair(Y,U),X)
| member(pair(U,diamond_strip_lemmaD_sk1(Y,Z,U,X)),trancl(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD1) ).
cnf(diamond_strip_lemmaD2,axiom,
( ~ diamond(X)
| ~ member(pair(Y,Z),trancl(X))
| ~ member(pair(Y,U),X)
| member(pair(Z,diamond_strip_lemmaD_sk1(Y,Z,U,X)),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD2) ).
cnf(diamond_trancl_2h1,hypothesis,
diamond(r),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2h1) ).
cnf(diamond_trancl_2h3,hypothesis,
member(pair(ya,z),r),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2h3) ).
cnf(diamond_trancl_2h4,hypothesis,
( ~ member(pair(y,X),trancl(r))
| member(pair(ya,sk1(X)),trancl(r)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2h4) ).
cnf(diamond_trancl_2h5,hypothesis,
( ~ member(pair(y,X),trancl(r))
| member(pair(X,sk1(X)),trancl(r)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2h5) ).
cnf(diamond_trancl_2c1,negated_conjecture,
member(pair(y,yp),trancl(r)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2c1) ).
cnf(diamond_trancl_2c2,negated_conjecture,
( ~ member(pair(z,X),trancl(r))
| ~ member(pair(yp,X),trancl(r)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2c2) ).
cnf(29,plain,
member(pair(ya,sk1(yp)),trancl(r)),
inference('HYPERRESOLVE',[status(thm)],[diamond_trancl_2h4,diamond_trancl_2c1]) ).
cnf(30,plain,
member(pair(yp,sk1(yp)),trancl(r)),
inference('HYPERRESOLVE',[status(thm)],[diamond_trancl_2h5,diamond_trancl_2c1]) ).
cnf(50,plain,
member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),r),
inference('HYPERRESOLVE',[status(thm)],[diamond_strip_lemmaD2,29,diamond_trancl_2h1,diamond_trancl_2h3]) ).
cnf(51,plain,
member(pair(z,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)),
inference('HYPERRESOLVE',[status(thm)],[diamond_strip_lemmaD1,29,diamond_trancl_2h1,diamond_trancl_2h3]) ).
cnf(189,plain,
member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)),
inference('HYPERRESOLVE',[status(thm)],[r_into_trancl,50]) ).
cnf(194,plain,
~ member(pair(yp,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)),
inference('UR-RESOLVE',[status(thm)],[diamond_trancl_2c2,51]) ).
cnf(255,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[transD,194,trans_trancl,30]),189]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL100-1 : TPTP v8.1.0. Released v2.7.0.
% 0.12/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue May 31 06:33:06 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-05-31T06:33:06
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-05-31T06:33:06
% 0.19/0.56
% 0.19/0.56
% 0.19/0.56 #||
% 0.19/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.56 % SZS output start Refutation
% See solution above
% 0.19/0.56 ||#
% 0.19/0.56
% 0.19/0.56 ; Summary of computation:
% 0.19/0.56 ; 609 formulas have been input or derived (from 143 formulas).
% 0.19/0.56 ; 255 (42%) were retained. Of these,
% 0.19/0.56 ; 255 (100%) are still being kept.
% 0.19/0.56 ;
% 0.19/0.56 ; Run time in seconds excluding printing time:
% 0.19/0.56 ; 0.003 3% Read assertion file (1 call)
% 0.19/0.56 ; 0.000 0% Assert (18 calls)
% 0.19/0.56 ; 0.023 23% Process new row (424 calls)
% 0.19/0.56 ; 0.034 33% Resolution (284 calls)
% 0.19/0.56 ; 0.002 2% Paramodulation (142 calls)
% 0.19/0.56 ; 0.000 0% Condensing (10 calls)
% 0.19/0.56 ; 0.000 0% Forward subsumption (10 calls)
% 0.19/0.56 ; 0.001 1% Backward subsumption (10 calls)
% 0.19/0.56 ; 0.000 0% Clause clause subsumption (7 calls)
% 0.19/0.56 ; 0.009 9% Forward simplification (424 calls)
% 0.19/0.56 ; 0.003 3% Backward simplification (255 calls)
% 0.19/0.56 ; 0.000 0% Ordering (3 calls)
% 0.19/0.56 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.56 ; 0.000 0% Purity testing (1 call)
% 0.19/0.56 ; 0.027 26% Other
% 0.19/0.56 ; 0.102 Total
% 0.19/0.56 ; 0.104 Real time
% 0.19/0.56 ;
% 0.19/0.56 ; Term-hash-array has 504 terms in all.
% 0.19/0.56 ; Feature-vector-row-index has 10 entries (10 at peak, 10 added, 0 deleted).
% 0.19/0.56 ; Feature-vector-row-index has 65 nodes (65 at peak, 65 added, 0 deleted).
% 0.19/0.56 ; Retrieved 4 possibly forward subsuming rows in 10 calls.
% 0.19/0.56 ; Retrieved 3 possibly backward subsumed rows in 10 calls.
% 0.19/0.56 ; Path-index has 511 entries (511 at peak, 511 added, 0 deleted).
% 0.19/0.56 ; Path-index has 457 nodes (457 at peak, 457 added, 0 deleted).
% 0.19/0.56 ; Trie-index has 511 entries (511 at peak, 511 added, 0 deleted).
% 0.19/0.56 ; Trie-index has 1,751 nodes (1,751 at peak, 1,751 added, 0 deleted).
% 0.19/0.56 ; Retrieved 167 generalization terms in 421 calls.
% 0.19/0.56 ; Retrieved 244 instance terms in 244 calls.
% 0.19/0.56 ; Retrieved 12,446 unifiable terms in 4,173 calls.
% 0.19/0.56 ;
% 0.19/0.56 ; The agenda of rows to process has 1 entry:
% 0.19/0.56 ; 1 with value 22
% 0.19/0.56 ; The agenda of rows to give has 112 entries:
% 0.19/0.56 ; 8 with value (4 18) 5 with value (4 23) 5 with value (4 28)
% 0.19/0.56 ; 39 with value (4 19) 3 with value (4 24) 1 with value (4 29)
% 0.19/0.56 ; 16 with value (4 20) 1 with value (4 25) 4 with value (4 31)
% 0.19/0.56 ; 12 with value (4 21) 2 with value (4 26) 2 with value (4 32)
% 0.19/0.56 ; 13 with value (4 22) 1 with value (4 27)
% 0.19/0.56 Evaluation took:
% 0.19/0.56 0.105 seconds of real time
% 0.19/0.56 0.094284 seconds of user run time
% 0.19/0.56 0.010175 seconds of system run time
% 0.19/0.56 0 calls to %EVAL
% 0.19/0.56 0 page faults and
% 0.19/0.56 6,502,328 bytes consed.
% 0.19/0.56 :PROOF-FOUND
% 0.19/0.56 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T06:33:06
% 0.19/0.56 :PROOF-FOUND
% 0.19/0.56 *
%------------------------------------------------------------------------------