%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL098-1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 17 ( 10 unt; 0 nHn; 16 RR)
% Number of literals : 28 ( 0 equ; 13 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 17 ( 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_lemmaD_2h1,hypothesis,
( ~ member(pair(X,Y),r)
| ~ member(pair(X,Z),r)
| member(pair(Y,sk1(X,Y,Z)),r) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h1) ).
cnf(diamond_strip_lemmaD_2h2,hypothesis,
( ~ member(pair(X,Y),r)
| ~ member(pair(X,Z),r)
| member(pair(Z,sk1(X,Y,Z)),r) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h2) ).
cnf(diamond_strip_lemmaD_2h4,hypothesis,
member(pair(y,z),r),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h4) ).
cnf(diamond_strip_lemmaD_2h5,hypothesis,
( ~ member(pair(x,X),r)
| member(pair(X,sk2(X)),trancl(r)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h5) ).
cnf(diamond_strip_lemmaD_2h6,hypothesis,
( ~ member(pair(x,X),r)
| member(pair(y,sk2(X)),r) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h6) ).
cnf(diamond_strip_lemmaD_2c1,negated_conjecture,
member(pair(x,sk3),r),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2c1) ).
cnf(diamond_strip_lemmaD_2c2,negated_conjecture,
( ~ member(pair(sk3,X),trancl(r))
| ~ member(pair(z,X),r) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2c2) ).
cnf(27,plain,
member(pair(y,sk2(sk3)),r),
inference('HYPERRESOLVE',[status(thm)],[diamond_strip_lemmaD_2h6,diamond_strip_lemmaD_2c1]) ).
cnf(28,plain,
member(pair(sk3,sk2(sk3)),trancl(r)),
inference('HYPERRESOLVE',[status(thm)],[diamond_strip_lemmaD_2h5,diamond_strip_lemmaD_2c1]) ).
cnf(39,plain,
member(pair(z,sk1(y,sk2(sk3),z)),r),
inference('HYPERRESOLVE',[status(thm)],[diamond_strip_lemmaD_2h2,27,diamond_strip_lemmaD_2h4]) ).
cnf(41,plain,
member(pair(sk2(sk3),sk1(y,sk2(sk3),z)),r),
inference('HYPERRESOLVE',[status(thm)],[diamond_strip_lemmaD_2h1,27,diamond_strip_lemmaD_2h4]) ).
cnf(94,plain,
~ member(pair(sk3,sk1(y,sk2(sk3),z)),trancl(r)),
inference('UR-RESOLVE',[status(thm)],[diamond_strip_lemmaD_2c2,39]) ).
cnf(126,plain,
member(pair(sk2(sk3),sk1(y,sk2(sk3),z)),trancl(r)),
inference('HYPERRESOLVE',[status(thm)],[r_into_trancl,41]) ).
cnf(159,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[transD,94,trans_trancl,28]),126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL098-1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n017.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 : Tue May 31 09:22:26 EDT 2022
% 0.12/0.33 % 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 2022-05-31T09:22:26
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-05-31T09:22:26
% 0.19/0.53
% 0.19/0.53
% 0.19/0.53 #||
% 0.19/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.53 % SZS output start Refutation
% See solution above
% 0.19/0.53 ||#
% 0.19/0.53
% 0.19/0.53 ; Summary of computation:
% 0.19/0.53 ; 426 formulas have been input or derived (from 88 formulas).
% 0.19/0.53 ; 159 (37%) were retained. Of these,
% 0.19/0.53 ; 159 (100%) are still being kept.
% 0.19/0.53 ;
% 0.19/0.53 ; Run time in seconds excluding printing time:
% 0.19/0.53 ; 0.004 6% Read assertion file (1 call)
% 0.19/0.53 ; 0.000 0% Assert (17 calls)
% 0.19/0.53 ; 0.017 25% Process new row (279 calls)
% 0.19/0.53 ; 0.016 24% Resolution (174 calls)
% 0.19/0.53 ; 0.001 1% Paramodulation (87 calls)
% 0.19/0.53 ; 0.000 0% Condensing (10 calls)
% 0.19/0.53 ; 0.000 0% Forward subsumption (10 calls)
% 0.19/0.53 ; 0.000 0% Backward subsumption (10 calls)
% 0.19/0.53 ; 0.001 1% Clause clause subsumption (5 calls)
% 0.19/0.53 ; 0.004 6% Forward simplification (279 calls)
% 0.19/0.53 ; 0.001 1% Backward simplification (159 calls)
% 0.19/0.53 ; 0.000 0% Ordering (3 calls)
% 0.19/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.53 ; 0.000 0% Purity testing (1 call)
% 0.19/0.53 ; 0.023 34% Other
% 0.19/0.53 ; 0.067 Total
% 0.19/0.53 ; 0.071 Real time
% 0.19/0.53 ;
% 0.19/0.53 ; Term-hash-array has 356 terms in all.
% 0.19/0.53 ; Feature-vector-row-index has 10 entries (10 at peak, 10 added, 0 deleted).
% 0.19/0.53 ; Feature-vector-row-index has 56 nodes (56 at peak, 56 added, 0 deleted).
% 0.19/0.53 ; Retrieved 3 possibly forward subsuming rows in 10 calls.
% 0.19/0.53 ; Retrieved 2 possibly backward subsumed rows in 10 calls.
% 0.19/0.53 ; Path-index has 363 entries (363 at peak, 363 added, 0 deleted).
% 0.19/0.53 ; Path-index has 383 nodes (383 at peak, 383 added, 0 deleted).
% 0.19/0.53 ; Trie-index has 363 entries (363 at peak, 363 added, 0 deleted).
% 0.19/0.53 ; Trie-index has 1,240 nodes (1,240 at peak, 1,240 added, 0 deleted).
% 0.19/0.53 ; Retrieved 118 generalization terms in 277 calls.
% 0.19/0.53 ; Retrieved 148 instance terms in 148 calls.
% 0.19/0.53 ; Retrieved 3,645 unifiable terms in 1,604 calls.
% 0.19/0.53 ;
% 0.19/0.53 ; The agenda of rows to process has 1 entry:
% 0.19/0.53 ; 1 with value 21
% 0.19/0.53 ; The agenda of rows to give has 71 entries:
% 0.19/0.53 ; 8 with value (4 17) 2 with value (4 23) 6 with value (4 29)
% 0.19/0.53 ; 7 with value (4 18) 4 with value (4 26) 4 with value (4 30)
% 0.19/0.53 ; 14 with value (4 19) 4 with value (4 27) 4 with value (4 31)
% 0.19/0.53 ; 3 with value (4 20) 6 with value (4 28) 1 with value (4 32)
% 0.19/0.53 ; 8 with value (4 22)
% 0.19/0.53 Evaluation took:
% 0.19/0.53 0.071 seconds of real time
% 0.19/0.53 0.054879 seconds of user run time
% 0.19/0.53 0.015854 seconds of system run time
% 0.19/0.53 0 calls to %EVAL
% 0.19/0.53 0 page faults and
% 0.19/0.53 4,487,176 bytes consed.
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T09:22:26
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 *
%------------------------------------------------------------------------------