TSTP Solution File: LAT351+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT351+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 : Sun Jul 17 06:44:29 EDT 2022
% Result : Theorem 1.76s 1.97s
% Output : Refutation 1.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 31
% Syntax : Number of clauses : 44 ( 35 unt; 3 nHn; 23 RR)
% Number of literals : 111 ( 7 equ; 67 neg)
% Maximal clause size : 20 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-1 aty)
% Number of variables : 34 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
v2_orders_2('SKOLEMAAAU2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_waybel22) ).
cnf(2,negated_conjecture,
v3_orders_2('SKOLEMAAAU2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_waybel22) ).
cnf(3,negated_conjecture,
v4_orders_2('SKOLEMAAAU2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_waybel22) ).
cnf(4,negated_conjecture,
v1_lattice3('SKOLEMAAAU2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_waybel22) ).
cnf(5,negated_conjecture,
v2_lattice3('SKOLEMAAAU2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_waybel22) ).
cnf(6,negated_conjecture,
v3_lattice3('SKOLEMAAAU2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_waybel22) ).
cnf(7,negated_conjecture,
v3_waybel_3('SKOLEMAAAU2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_waybel22) ).
cnf(8,negated_conjecture,
l1_orders_2('SKOLEMAAAU2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_waybel22) ).
cnf(9,negated_conjecture,
r1_waybel22('SKOLEMAAAU2','SKOLEMAAAU3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_waybel22) ).
cnf(10,negated_conjecture,
k1_card_1('SKOLEMAAAU3') = k1_card_1('SKOLEMAAAU1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_waybel22) ).
cnf(11,negated_conjecture,
~ r5_waybel_1('SKOLEMAAAU2',k2_yellow_1(k9_waybel_0(k3_yellow_1('SKOLEMAAAU1')))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_waybel22) ).
cnf(65,axiom,
( v3_struct_0(X)
| ~ v2_orders_2(X)
| ~ v3_orders_2(X)
| ~ l1_orders_2(X)
| k9_waybel_0(X) = a_1_1_waybel_0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d24_waybel_0) ).
cnf(66,axiom,
k1_waybel22(X) = a_1_0_waybel22(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_waybel22) ).
cnf(73,axiom,
l1_orders_2(k2_yellow_1(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_yellow_1) ).
cnf(75,axiom,
l1_orders_2(k3_yellow_1(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_yellow_1) ).
cnf(112,axiom,
~ v3_struct_0(k3_yellow_1(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc14_waybel_8) ).
cnf(113,axiom,
v2_orders_2(k3_yellow_1(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc14_waybel_8) ).
cnf(114,axiom,
v3_orders_2(k3_yellow_1(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc14_waybel_8) ).
cnf(115,axiom,
v4_orders_2(k3_yellow_1(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc14_waybel_8) ).
cnf(117,axiom,
v2_lattice3(k3_yellow_1(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc14_waybel_8) ).
cnf(120,axiom,
v2_yellow_0(k3_yellow_1(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc14_waybel_8) ).
cnf(139,axiom,
( v3_struct_0(X)
| ~ v2_orders_2(X)
| ~ v3_orders_2(X)
| ~ v4_orders_2(X)
| ~ v2_yellow_0(X)
| ~ v2_lattice3(X)
| ~ l1_orders_2(X)
| v1_lattice3(k2_yellow_1(k9_waybel_0(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_waybel22) ).
cnf(142,axiom,
( v3_struct_0(X)
| ~ v2_orders_2(X)
| ~ v3_orders_2(X)
| ~ v4_orders_2(X)
| ~ v2_yellow_0(X)
| ~ v2_lattice3(X)
| ~ l1_orders_2(X)
| v3_waybel_3(k2_yellow_1(k9_waybel_0(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_waybel22) ).
cnf(150,axiom,
( ~ v2_orders_2(X)
| ~ v3_orders_2(X)
| ~ v4_orders_2(X)
| ~ v2_lattice3(X)
| ~ v2_yellow_0(X)
| ~ l1_orders_2(X)
| v2_orders_2(k2_yellow_1(k9_waybel_0(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_waybel16) ).
cnf(151,axiom,
( ~ v2_orders_2(X)
| ~ v3_orders_2(X)
| ~ v4_orders_2(X)
| ~ v2_lattice3(X)
| ~ v2_yellow_0(X)
| ~ l1_orders_2(X)
| v3_orders_2(k2_yellow_1(k9_waybel_0(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_waybel16) ).
cnf(152,axiom,
( ~ v2_orders_2(X)
| ~ v3_orders_2(X)
| ~ v4_orders_2(X)
| ~ v2_lattice3(X)
| ~ v2_yellow_0(X)
| ~ l1_orders_2(X)
| v4_orders_2(k2_yellow_1(k9_waybel_0(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_waybel16) ).
cnf(153,axiom,
( ~ v2_orders_2(X)
| ~ v3_orders_2(X)
| ~ v4_orders_2(X)
| ~ v2_lattice3(X)
| ~ v2_yellow_0(X)
| ~ l1_orders_2(X)
| v2_lattice3(k2_yellow_1(k9_waybel_0(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_waybel16) ).
cnf(154,axiom,
( ~ v2_orders_2(X)
| ~ v3_orders_2(X)
| ~ v4_orders_2(X)
| ~ v2_lattice3(X)
| ~ v2_yellow_0(X)
| ~ l1_orders_2(X)
| v3_lattice3(k2_yellow_1(k9_waybel_0(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_waybel16) ).
cnf(289,axiom,
k1_card_1(k1_waybel22(X)) = k1_card_1(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_waybel22) ).
cnf(290,plain,
k1_card_1(a_1_0_waybel22(X)) = k1_card_1(X),
inference('REWRITE',[status(thm)],[289,66,theory(equality)]) ).
cnf(291,axiom,
r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X))),k1_waybel22(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_waybel22) ).
cnf(292,plain,
r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X))),a_1_0_waybel22(X)),
inference('REWRITE',[status(thm)],[291,66,theory(equality)]) ).
cnf(293,axiom,
( ~ v2_orders_2(X)
| ~ v3_orders_2(X)
| ~ v4_orders_2(X)
| ~ v1_lattice3(X)
| ~ v2_lattice3(X)
| ~ v3_lattice3(X)
| ~ v3_waybel_3(X)
| ~ l1_orders_2(X)
| ~ v2_orders_2(Y)
| ~ v3_orders_2(Y)
| ~ v4_orders_2(Y)
| ~ v1_lattice3(Y)
| ~ v2_lattice3(Y)
| ~ v3_lattice3(Y)
| ~ v3_waybel_3(Y)
| ~ l1_orders_2(Y)
| ~ r1_waybel22(X,Z)
| ~ r1_waybel22(Y,U)
| k1_card_1(Z) != k1_card_1(U)
| r5_waybel_1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_waybel22) ).
cnf(573,plain,
k9_waybel_0(k3_yellow_1(X)) = a_1_1_waybel_0(k3_yellow_1(X)),
inference('UR-RESOLVE',[status(thm)],[65,112,113,114,75]) ).
cnf(574,plain,
r1_waybel22(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(X))),a_1_0_waybel22(X)),
inference('REWRITE',[status(thm)],[292,573,theory(equality)]) ).
cnf(575,plain,
~ r5_waybel_1('SKOLEMAAAU2',k2_yellow_1(a_1_1_waybel_0(k3_yellow_1('SKOLEMAAAU1')))),
inference('REWRITE',[status(thm)],[11,573,theory(equality)]) ).
cnf(814,plain,
v2_orders_2(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(X)))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[150,113,114,115,117,120,75]),573,theory(equality)]) ).
cnf(818,plain,
v3_orders_2(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(X)))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[151,113,114,115,117,120,75]),573,theory(equality)]) ).
cnf(822,plain,
v4_orders_2(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(X)))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[152,113,114,115,117,120,75]),573,theory(equality)]) ).
cnf(826,plain,
v2_lattice3(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(X)))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[153,113,114,115,117,120,75]),573,theory(equality)]) ).
cnf(830,plain,
v3_lattice3(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(X)))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[154,113,114,115,117,120,75]),573,theory(equality)]) ).
cnf(934,plain,
v1_lattice3(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(X)))),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[139,112,113,114,115,120,117,75]),573,theory(equality)]) ).
cnf(938,plain,
v3_waybel_3(k2_yellow_1(a_1_1_waybel_0(k3_yellow_1(X)))),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[142,112,113,114,115,120,117,75]),573,theory(equality)]) ).
cnf(9858,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[293,938,1,2,3,4,5,6,7,8,814,818,822,934,826,830,73,9,574,575]),290,10,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : LAT351+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n027.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 : Thu Jun 30 15:19:36 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-30T15:19:36
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-30T15:19:36
% 0.19/0.52 WARNING:
% 0.19/0.52 |v2_waybel_3| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.52 WARNING:
% 0.19/0.52 |v2_funct_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.52 WARNING:
% 0.19/0.52 |v1_waybel_8| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.52 WARNING:
% 0.19/0.52 |v9_waybel_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.52 WARNING:
% 0.19/0.52 |v16_waybel_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.52 WARNING:
% 0.19/0.52 |v1_card_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.52 WARNING:
% 0.19/0.52 |v2_waybel_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.52 WARNING:
% 0.19/0.52 |v10_waybel_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.52 WARNING:
% 0.19/0.52 |v11_waybel_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.52 WARNING:
% 0.19/0.52 |v1_funct_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.52 WARNING:
% 0.19/0.52 |v1_relat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.76/1.97
% 1.76/1.97
% 1.76/1.97 #||
% 1.76/1.97 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.76/1.97 % SZS output start Refutation
% See solution above
% 1.81/1.99 ||#
% 1.81/1.99
% 1.81/1.99 ; Summary of computation:
% 1.81/1.99 ; 12213 formulas have been input or derived (from 699 formulas).
% 1.81/1.99 ; 9858 (81%) were retained. Of these,
% 1.81/1.99 ; 340 ( 3%) were simplified or subsumed later,
% 1.81/1.99 ; 9518 (97%) are still being kept.
% 1.81/1.99 ;
% 1.81/1.99 ; Run time in seconds excluding printing time:
% 1.81/1.99 ; 0.036 2% Read assertion file (1 call)
% 1.81/1.99 ; 0.010 1% Assert (121 calls)
% 1.81/1.99 ; 0.502 33% Process new row (11,961 calls)
% 1.81/1.99 ; 0.691 46% Resolution (1,396 calls)
% 1.81/1.99 ; 0.009 1% Paramodulation (698 calls)
% 1.81/1.99 ; 0.000 0% Factoring (6 calls)
% 1.81/1.99 ; 0.006 0% Condensing (546 calls)
% 1.81/1.99 ; 0.020 1% Forward subsumption (546 calls)
% 1.81/1.99 ; 0.029 2% Backward subsumption (512 calls)
% 1.81/1.99 ; 0.003 0% Clause clause subsumption (612 calls)
% 1.81/1.99 ; 0.079 5% Forward simplification (11,923 calls)
% 1.81/1.99 ; 0.056 4% Backward simplification (9,854 calls)
% 1.81/1.99 ; 0.001 0% Ordering (1,192 calls)
% 1.81/1.99 ; 0.000 0% Sortal reasoning (32 calls)
% 1.81/1.99 ; 0.002 0% Purity testing (1 call)
% 1.81/1.99 ; 0.064 4% Other
% 1.81/1.99 ; 1.508 Total
% 1.81/1.99 ; 1.528 Real time
% 1.81/1.99 ;
% 1.81/1.99 ; Term-hash-array has 18,384 terms in all.
% 1.81/1.99 ; Feature-vector-row-index has 428 entries (433 at peak, 512 added, 84 deleted).
% 1.81/1.99 ; Feature-vector-row-index has 2,286 nodes (2,338 at peak, 2,898 added, 612 deleted).
% 1.81/1.99 ; Retrieved 835 possibly forward subsuming rows in 546 calls.
% 1.81/1.99 ; Retrieved 352 possibly backward subsumed rows in 512 calls.
% 1.81/1.99 ; Path-index has 18,092 entries (18,092 at peak, 18,548 added, 456 deleted).
% 1.81/1.99 ; Path-index has 7,076 nodes (7,076 at peak, 7,808 added, 732 deleted).
% 1.81/1.99 ; Trie-index has 18,092 entries (18,092 at peak, 18,548 added, 456 deleted).
% 1.81/1.99 ; Trie-index has 31,925 nodes (31,925 at peak, 34,160 added, 2,235 deleted).
% 1.81/1.99 ; Retrieved 4,638 generalization terms in 16,684 calls.
% 1.81/1.99 ; Retrieved 9,368 instance terms in 9,341 calls.
% 1.81/1.99 ; Retrieved 1,574,437 unifiable terms in 180,885 calls.
% 1.81/1.99 ;
% 1.81/1.99 ; The agenda of rows to process has 16 entries:
% 1.81/1.99 ; 6 with value 12 1 with value 15 8 with value 17
% 1.81/1.99 ; 1 with value 13
% 1.81/1.99 ; The agenda of rows to give has 8826 entries:
% 1.81/1.99 ; 1 with value (4 6) 19 with value (4 23) 2 with value (4 39)
% 1.81/1.99 ; 1 with value (4 8) 23 with value (4 24) 2 with value (4 40)
% 1.81/1.99 ; 216 with value (4 10) 12 with value (4 25) 6 with value (4 44)
% 1.81/1.99 ; 638 with value (4 11) 7 with value (4 26) 16 with value (4 45)
% 1.81/1.99 ; 1566 with value (4 12) 25 with value (4 27) 8 with value (4 46)
% 1.81/1.99 ; 1000 with value (4 13) 41 with value (4 28) 6 with value (4 47)
% 1.81/1.99 ; 2255 with value (4 14) 25 with value (4 29) 10 with value (4 48)
% 1.81/1.99 ; 1648 with value (4 15) 23 with value (4 30) 4 with value (4 49)
% 1.81/1.99 ; 793 with value (4 16) 24 with value (4 31) 3 with value (4 51)
% 1.81/1.99 ; 289 with value (4 17) 2 with value (4 32) 4 with value (4 53)
% 1.81/1.99 ; 66 with value (4 18) 1 with value (4 34) 2 with value (4 55)
% 1.81/1.99 ; 25 with value (4 19) 7 with value (4 35) 2 with value (4 56)
% 1.81/1.99 ; 21 with value (4 20) 9 with value (4 36) 2 with value (4 68)
% 1.81/1.99 ; 10 with value (4 21) 3 with value (4 38) 2 with value (4 70)
% 1.81/1.99 ; 7 with value (4 22)
% 1.81/1.99 Evaluation took:
% 1.81/1.99 1.53 seconds of real time
% 1.81/1.99 1.422519 seconds of user run time
% 1.81/1.99 0.100951 seconds of system run time
% 1.81/1.99 [Run times include 0.211 seconds GC run time.]
% 1.81/1.99 0 calls to %EVAL
% 1.81/1.99 0 page faults and
% 1.81/1.99 129,217,728 bytes consed.
% 1.81/1.99 :PROOF-FOUND
% 1.81/1.99 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T15:19:38
% 1.81/1.99 :PROOF-FOUND
% 1.81/1.99 *
%------------------------------------------------------------------------------