TSTP Solution File: SEU305+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU305+1 : TPTP v8.1.0. Released v3.3.0.
% 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 14:21:07 EDT 2022
% Result : Theorem 0.42s 0.58s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of clauses : 17 ( 14 unt; 3 nHn; 17 RR)
% Number of literals : 32 ( 9 equ; 14 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( empty_carrier(X)
| ~ join_commutative(X)
| ~ join_semilatt_str(X)
| ~ element(Y,the_carrier(X))
| ~ element(Z,the_carrier(X))
| join_commut(X,Y,Z) = join_commut(X,Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_lattices) ).
cnf(7,axiom,
( empty_carrier(X)
| ~ join_semilatt_str(X)
| ~ element(Y,the_carrier(X))
| ~ element(Z,the_carrier(X))
| ~ below(X,Y,Z)
| join(X,Y,Z) = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_lattices) ).
cnf(32,axiom,
( empty_carrier(X)
| ~ join_commutative(X)
| ~ join_semilatt_str(X)
| ~ element(Y,the_carrier(X))
| ~ element(Z,the_carrier(X))
| join_commut(X,Y,Z) = join(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k3_lattices) ).
cnf(37,negated_conjecture,
~ empty_carrier('SKOLEMAABE8'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_lattices) ).
cnf(38,negated_conjecture,
join_commutative('SKOLEMAABE8'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_lattices) ).
cnf(39,negated_conjecture,
join_semilatt_str('SKOLEMAABE8'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_lattices) ).
cnf(40,negated_conjecture,
element('SKOLEMAABE9',the_carrier('SKOLEMAABE8')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_lattices) ).
cnf(41,negated_conjecture,
element('SKOLEMAABE10',the_carrier('SKOLEMAABE8')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_lattices) ).
cnf(42,negated_conjecture,
below('SKOLEMAABE8','SKOLEMAABE9','SKOLEMAABE10'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_lattices) ).
cnf(43,negated_conjecture,
below('SKOLEMAABE8','SKOLEMAABE10','SKOLEMAABE9'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_lattices) ).
cnf(44,negated_conjecture,
'SKOLEMAABE9' != 'SKOLEMAABE10',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_lattices) ).
cnf(93,plain,
join('SKOLEMAABE8','SKOLEMAABE9','SKOLEMAABE10') = 'SKOLEMAABE10',
inference('UR-RESOLVE',[status(thm)],[7,37,39,40,41,42]) ).
cnf(94,plain,
join('SKOLEMAABE8','SKOLEMAABE10','SKOLEMAABE9') = 'SKOLEMAABE9',
inference('UR-RESOLVE',[status(thm)],[7,37,39,41,40,43]) ).
cnf(95,plain,
join_commut('SKOLEMAABE8','SKOLEMAABE9','SKOLEMAABE10') = join_commut('SKOLEMAABE8','SKOLEMAABE10','SKOLEMAABE9'),
inference('UR-RESOLVE',[status(thm)],[5,37,38,39,40,41]) ).
cnf(99,plain,
join_commut('SKOLEMAABE8','SKOLEMAABE9','SKOLEMAABE10') = 'SKOLEMAABE10',
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[32,37,38,39,40,41]),93,theory(equality)]) ).
cnf(100,plain,
'SKOLEMAABE10' = join_commut('SKOLEMAABE8','SKOLEMAABE10','SKOLEMAABE9'),
inference('REWRITE',[status(thm)],[95,99,theory(equality)]) ).
cnf(101,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[32,37,38,39,41,40]),44,94,100,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEU305+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 19:09:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51 *
% 0.20/0.51 *
% 0.20/0.52 #<PACKAGE "SNARK-USER">
% 0.20/0.52 *
% 0.20/0.52 SNARK-TPTP-OPTIONS
% 0.20/0.52 *
% 0.20/0.52 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.52 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.52 (USE-FACTORING :POS)
% 0.20/0.52 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.52 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.52 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.52 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.52 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.52 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.52 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.52 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.52 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.52 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.52 *
% 0.20/0.52 "."
% 0.20/0.52 *
% 0.20/0.52 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T19:09:25
% 0.20/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-18T19:09:25
% 0.42/0.58
% 0.42/0.58
% 0.42/0.58 #||
% 0.42/0.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.58 % SZS output start Refutation
% See solution above
% 0.42/0.59 ||#
% 0.42/0.59
% 0.42/0.59 ; Summary of computation:
% 0.42/0.59 ; 176 formulas have been input or derived (from 50 formulas).
% 0.42/0.59 ; 101 (57%) were retained. Of these,
% 0.42/0.59 ; 6 ( 6%) were simplified or subsumed later,
% 0.42/0.59 ; 95 (94%) are still being kept.
% 0.42/0.59 ;
% 0.42/0.59 ; Run time in seconds excluding printing time:
% 0.42/0.59 ; 0.016 24% Read assertion file (1 call)
% 0.42/0.59 ; 0.002 3% Assert (42 calls)
% 0.42/0.59 ; 0.006 9% Process new row (151 calls)
% 0.42/0.59 ; 0.004 6% Resolution (98 calls)
% 0.42/0.59 ; 0.000 0% Paramodulation (49 calls)
% 0.42/0.59 ; 0.002 3% Condensing (37 calls)
% 0.42/0.59 ; 0.001 2% Forward subsumption (37 calls)
% 0.42/0.59 ; 0.000 0% Backward subsumption (37 calls)
% 0.42/0.59 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.42/0.59 ; 0.000 0% Forward simplification (151 calls)
% 0.42/0.59 ; 0.002 3% Backward simplification (101 calls)
% 0.42/0.59 ; 0.001 2% Ordering (26 calls)
% 0.42/0.59 ; 0.000 0% Sortal reasoning (32 calls)
% 0.42/0.59 ; 0.001 2% Purity testing (1 call)
% 0.42/0.59 ; 0.031 47% Other
% 0.42/0.59 ; 0.066 Total
% 0.42/0.59 ; 0.069 Real time
% 0.42/0.59 ;
% 0.42/0.59 ; Term-hash-array has 170 terms in all.
% 0.42/0.59 ; Feature-vector-row-index has 37 entries (37 at peak, 37 added, 0 deleted).
% 0.42/0.59 ; Feature-vector-row-index has 155 nodes (155 at peak, 155 added, 0 deleted).
% 0.42/0.59 ; Retrieved 3 possibly forward subsuming rows in 37 calls.
% 0.42/0.59 ; Retrieved 2 possibly backward subsumed rows in 37 calls.
% 0.42/0.59 ; Path-index has 171 entries (173 at peak, 177 added, 6 deleted).
% 0.42/0.59 ; Path-index has 446 nodes (446 at peak, 446 added, 0 deleted).
% 0.42/0.59 ; Trie-index has 171 entries (173 at peak, 177 added, 6 deleted).
% 0.42/0.59 ; Trie-index has 519 nodes (526 at peak, 538 added, 19 deleted).
% 0.42/0.59 ; Retrieved 83 generalization terms in 181 calls.
% 0.42/0.59 ; Retrieved 67 instance terms in 63 calls.
% 0.42/0.59 ; Retrieved 3,639 unifiable terms in 686 calls.
% 0.42/0.59 ;
% 0.42/0.59 ; The agenda of rows to process has 15 entries:
% 0.42/0.59 ; 1 with value 12 4 with value 18 1 with value 22
% 0.42/0.59 ; 4 with value 15 4 with value 21 1 with value 25
% 0.42/0.59 ; The agenda of input rows to give has 3 entries:
% 0.42/0.59 ; 1 with value 37 1 with value 44 1 with value 47
% 0.42/0.59 ; The agenda of rows to give has 42 entries:
% 0.42/0.59 ; 2 with value (4 4) 6 with value (4 10) 2 with value (4 16)
% 0.42/0.59 ; 4 with value (4 6) 4 with value (4 12) 2 with value (4 18)
% 0.42/0.59 ; 1 with value (4 7) 1 with value (4 13) 1 with value (4 19)
% 0.42/0.59 ; 7 with value (4 9) 12 with value (4 14)
% 0.42/0.59 Evaluation took:
% 0.42/0.59 0.069 seconds of real time
% 0.42/0.59 0.06014 seconds of user run time
% 0.42/0.59 0.008842 seconds of system run time
% 0.42/0.59 0 calls to %EVAL
% 0.42/0.59 0 page faults and
% 0.42/0.59 3,791,728 bytes consed.
% 0.42/0.59 :PROOF-FOUND
% 0.42/0.59 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T19:09:26
% 0.42/0.59 :PROOF-FOUND
% 0.42/0.59 *
%------------------------------------------------------------------------------