TSTP Solution File: LAT337+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT337+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 06:44:15 EDT 2022
% Result : Theorem 37.26s 37.48s
% Output : Refutation 37.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 21
% Syntax : Number of clauses : 37 ( 21 unt; 11 nHn; 37 RR)
% Number of literals : 122 ( 0 equ; 77 neg)
% Maximal clause size : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 28 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
~ v3_struct_0('SKOLEMAAAV1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t87_filter_2) ).
cnf(2,negated_conjecture,
v10_lattices('SKOLEMAAAV1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t87_filter_2) ).
cnf(3,negated_conjecture,
l3_lattices('SKOLEMAAAV1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t87_filter_2) ).
cnf(4,negated_conjecture,
m1_subset_1('SKOLEMAAAV2',u1_struct_0('SKOLEMAAAV1')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t87_filter_2) ).
cnf(5,negated_conjecture,
m1_subset_1('SKOLEMAAAV3',u1_struct_0('SKOLEMAAAV1')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t87_filter_2) ).
cnf(6,negated_conjecture,
v17_lattices('SKOLEMAAAV1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t87_filter_2) ).
cnf(7,negated_conjecture,
r3_lattices('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t87_filter_2) ).
cnf(8,negated_conjecture,
( v3_struct_0(k23_filter_2('SKOLEMAAAV1',k22_filter_2('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3')))
| ~ v10_lattices(k23_filter_2('SKOLEMAAAV1',k22_filter_2('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3')))
| ~ v17_lattices(k23_filter_2('SKOLEMAAAV1',k22_filter_2('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3')))
| ~ l3_lattices(k23_filter_2('SKOLEMAAAV1',k22_filter_2('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3'))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t87_filter_2) ).
cnf(22,axiom,
( ~ l3_lattices(X)
| v3_struct_0(X)
| ~ v17_lattices(X)
| v11_lattices(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_lattices) ).
cnf(25,axiom,
( ~ l3_lattices(X)
| v3_struct_0(X)
| ~ v17_lattices(X)
| v15_lattices(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_lattices) ).
cnf(26,axiom,
( ~ l3_lattices(X)
| v3_struct_0(X)
| ~ v17_lattices(X)
| v16_lattices(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_lattices) ).
cnf(27,axiom,
( ~ l3_lattices(X)
| v3_struct_0(X)
| ~ v11_lattices(X)
| ~ v15_lattices(X)
| ~ v16_lattices(X)
| v17_lattices(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc6_lattices) ).
cnf(28,axiom,
( ~ l3_lattices(X)
| v3_struct_0(X)
| ~ v10_lattices(X)
| ~ v11_lattices(X)
| v12_lattices(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc7_lattices) ).
cnf(31,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ l3_lattices(X)
| ~ m1_subset_1(Y,u1_struct_0(X))
| ~ m1_subset_1(Z,u1_struct_0(X))
| ~ v1_xboole_0(k22_filter_2(X,Y,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k22_filter_2) ).
cnf(32,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ l3_lattices(X)
| ~ m1_subset_1(Y,u1_struct_0(X))
| ~ m1_subset_1(Z,u1_struct_0(X))
| m2_lattice4(k22_filter_2(X,Y,Z),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k22_filter_2) ).
cnf(187,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ l3_lattices(X)
| v1_xboole_0(Y)
| ~ m2_lattice4(Y,X)
| ~ v11_lattices(X)
| v11_lattices(k23_filter_2(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t78_filter_2) ).
cnf(189,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ l3_lattices(X)
| ~ m1_subset_1(Y,u1_struct_0(X))
| ~ m1_subset_1(Z,u1_struct_0(X))
| ~ v15_lattices(X)
| ~ v16_lattices(X)
| ~ v12_lattices(X)
| ~ r3_lattices(X,Y,Z)
| ~ v3_struct_0(k23_filter_2(X,k22_filter_2(X,Y,Z))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t86_filter_2) ).
cnf(190,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ l3_lattices(X)
| ~ m1_subset_1(Y,u1_struct_0(X))
| ~ m1_subset_1(Z,u1_struct_0(X))
| ~ v15_lattices(X)
| ~ v16_lattices(X)
| ~ v12_lattices(X)
| ~ r3_lattices(X,Y,Z)
| v10_lattices(k23_filter_2(X,k22_filter_2(X,Y,Z))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t86_filter_2) ).
cnf(191,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ l3_lattices(X)
| ~ m1_subset_1(Y,u1_struct_0(X))
| ~ m1_subset_1(Z,u1_struct_0(X))
| ~ v15_lattices(X)
| ~ v16_lattices(X)
| ~ v12_lattices(X)
| ~ r3_lattices(X,Y,Z)
| v15_lattices(k23_filter_2(X,k22_filter_2(X,Y,Z))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t86_filter_2) ).
cnf(192,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ l3_lattices(X)
| ~ m1_subset_1(Y,u1_struct_0(X))
| ~ m1_subset_1(Z,u1_struct_0(X))
| ~ v15_lattices(X)
| ~ v16_lattices(X)
| ~ v12_lattices(X)
| ~ r3_lattices(X,Y,Z)
| v16_lattices(k23_filter_2(X,k22_filter_2(X,Y,Z))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t86_filter_2) ).
cnf(193,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ l3_lattices(X)
| ~ m1_subset_1(Y,u1_struct_0(X))
| ~ m1_subset_1(Z,u1_struct_0(X))
| ~ v15_lattices(X)
| ~ v16_lattices(X)
| ~ v12_lattices(X)
| ~ r3_lattices(X,Y,Z)
| l3_lattices(k23_filter_2(X,k22_filter_2(X,Y,Z))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t86_filter_2) ).
cnf(250,plain,
v11_lattices('SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[22,3,1,6]) ).
cnf(253,plain,
v15_lattices('SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[25,3,1,6]) ).
cnf(254,plain,
v16_lattices('SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[26,3,1,6]) ).
cnf(366,plain,
~ v1_xboole_0(k22_filter_2('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3')),
inference('UR-RESOLVE',[status(thm)],[31,1,2,3,4,5]) ).
cnf(380,plain,
m2_lattice4(k22_filter_2('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3'),'SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[32,1,2,3,4,5]) ).
cnf(462,plain,
v12_lattices('SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[28,250,3,1,2]) ).
cnf(488,plain,
l3_lattices(k23_filter_2('SKOLEMAAAV1',k22_filter_2('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3'))),
inference('UR-RESOLVE',[status(thm)],[193,462,1,2,3,4,5,253,254,7]) ).
cnf(489,plain,
( v3_struct_0(k23_filter_2('SKOLEMAAAV1',k22_filter_2('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3')))
| ~ v10_lattices(k23_filter_2('SKOLEMAAAV1',k22_filter_2('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3')))
| ~ v17_lattices(k23_filter_2('SKOLEMAAAV1',k22_filter_2('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3'))) ),
inference('REWRITE',[status(thm)],[8,488]) ).
cnf(490,plain,
v16_lattices(k23_filter_2('SKOLEMAAAV1',k22_filter_2('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3'))),
inference('UR-RESOLVE',[status(thm)],[192,462,1,2,3,4,5,253,254,7]) ).
cnf(491,plain,
v15_lattices(k23_filter_2('SKOLEMAAAV1',k22_filter_2('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3'))),
inference('UR-RESOLVE',[status(thm)],[191,462,1,2,3,4,5,253,254,7]) ).
cnf(492,plain,
v10_lattices(k23_filter_2('SKOLEMAAAV1',k22_filter_2('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3'))),
inference('UR-RESOLVE',[status(thm)],[190,462,1,2,3,4,5,253,254,7]) ).
cnf(493,plain,
( v3_struct_0(k23_filter_2('SKOLEMAAAV1',k22_filter_2('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3')))
| ~ v17_lattices(k23_filter_2('SKOLEMAAAV1',k22_filter_2('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3'))) ),
inference('REWRITE',[status(thm)],[489,492]) ).
cnf(494,plain,
~ v3_struct_0(k23_filter_2('SKOLEMAAAV1',k22_filter_2('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3'))),
inference('UR-RESOLVE',[status(thm)],[189,462,1,2,3,4,5,253,254,7]) ).
cnf(495,plain,
~ v17_lattices(k23_filter_2('SKOLEMAAAV1',k22_filter_2('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3'))),
inference('REWRITE',[status(thm)],[493,494]) ).
cnf(2222,plain,
v11_lattices(k23_filter_2('SKOLEMAAAV1',k22_filter_2('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3'))),
inference('UR-RESOLVE',[status(thm)],[187,380,1,2,3,366,250]) ).
cnf(89077,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[27,491,488,2222,490,495]),494]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LAT337+1 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 29 02:15:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-29T02:15:12
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-29T02:15:12
% 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_binop_1| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.52 WARNING:
% 0.19/0.52 |v1_partfun1| is a 3-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.52 WARNING:
% 0.19/0.52 |v2_binop_1| is a 2-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.
% 37.26/37.48
% 37.26/37.48
% 37.26/37.48 #||
% 37.26/37.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 37.26/37.48 % SZS output start Refutation
% See solution above
% 37.26/37.48 ||#
% 37.26/37.48
% 37.26/37.48 ; Summary of computation:
% 37.26/37.48 ; 92787 formulas have been input or derived (from 1409 formulas).
% 37.26/37.48 ; 89077 (96%) were retained. Of these,
% 37.26/37.48 ; 16 ( 0%) were simplified or subsumed later,
% 37.26/37.48 ; 89061 (100%) are still being kept.
% 37.26/37.48 ;
% 37.26/37.48 ; Run time in seconds excluding printing time:
% 37.26/37.48 ; 0.023 0% Read assertion file (1 call)
% 37.26/37.48 ; 0.007 0% Assert (83 calls)
% 37.26/37.48 ; 7.362 20% Process new row (92,252 calls)
% 37.26/37.48 ; 27.032 73% Resolution (2,816 calls)
% 37.26/37.48 ; 0.052 0% Paramodulation (1,408 calls)
% 37.26/37.48 ; 0.001 0% Factoring (6 calls)
% 37.26/37.48 ; 0.001 0% Condensing (344 calls)
% 37.26/37.48 ; 0.009 0% Forward subsumption (344 calls)
% 37.26/37.48 ; 0.007 0% Backward subsumption (326 calls)
% 37.26/37.48 ; 0.001 0% Clause clause subsumption (39 calls)
% 37.26/37.48 ; 0.813 2% Forward simplification (92,225 calls)
% 37.26/37.48 ; 1.350 4% Backward simplification (89,076 calls)
% 37.26/37.48 ; 0.000 0% Ordering (243 calls)
% 37.26/37.48 ; 0.000 0% Sortal reasoning (32 calls)
% 37.26/37.48 ; 0.002 0% Purity testing (1 call)
% 37.26/37.48 ; 0.346 1% Other
% 37.26/37.48 ; 37.006 Total
% 37.26/37.48 ; 37.011 Real time
% 37.26/37.49 ;
% 37.26/37.49 ; Term-hash-array has 175,404 terms in all.
% 37.26/37.49 ; Feature-vector-row-index has 321 entries (321 at peak, 326 added, 5 deleted).
% 37.26/37.49 ; Feature-vector-row-index has 1,345 nodes (1,345 at peak, 1,442 added, 97 deleted).
% 37.26/37.49 ; Retrieved 233 possibly forward subsuming rows in 344 calls.
% 37.26/37.49 ; Retrieved 149 possibly backward subsumed rows in 326 calls.
% 37.26/37.49 ; Path-index has 175,415 entries (175,415 at peak, 175,433 added, 18 deleted).
% 37.26/37.49 ; Path-index has 10,593 nodes (10,593 at peak, 10,630 added, 37 deleted).
% 37.26/37.49 ; Trie-index has 175,415 entries (175,415 at peak, 175,433 added, 18 deleted).
% 37.26/37.49 ; Trie-index has 293,477 nodes (293,477 at peak, 293,537 added, 60 deleted).
% 37.26/37.49 ; Retrieved 6,362 generalization terms in 98,246 calls.
% 37.26/37.49 ; Retrieved 88,763 instance terms in 88,749 calls.
% 37.26/37.49 ; Retrieved 74,306,486 unifiable terms in 1,805,837 calls.
% 37.26/37.49 ;
% 37.26/37.49 ; The agenda of rows to process has 3 entries:
% 37.26/37.49 ; 3 with value 24
% 37.26/37.49 ; The agenda of rows to give has 87660 entries:
% 37.26/37.49 ; 802 with value (4 13) 5988 with value (4 21) 120 with value (4 29)
% 37.26/37.49 ; 817 with value (4 14) 888 with value (4 22) 6 with value (4 30)
% 37.26/37.49 ; 2167 with value (4 15) 4 with value (4 23) 31 with value (4 32)
% 37.26/37.49 ; 4689 with value (4 16) 24 with value (4 24) 1 with value (4 36)
% 37.26/37.49 ; 11297 with value (4 17) 12 with value (4 25) 1 with value (4 38)
% 37.26/37.49 ; 15279 with value (4 18) 30 with value (4 26) 21 with value (4 42)
% 37.26/37.49 ; 22968 with value (4 19) 12 with value (4 27) 21 with value (4 54)
% 37.26/37.49 ; 22476 with value (4 20) 6 with value (4 28)
% 37.26/37.49 Evaluation took:
% 37.26/37.49 37.016 seconds of real time
% 37.26/37.49 35.902016 seconds of user run time
% 37.26/37.49 1.111675 seconds of system run time
% 37.26/37.49 [Run times include 5.258 seconds GC run time.]
% 37.26/37.49 0 calls to %EVAL
% 37.26/37.49 0 page faults and
% 37.26/37.49 1,769,741,632 bytes consed.
% 37.26/37.49 :PROOF-FOUND
% 37.26/37.49 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-29T02:15:49
% 37.26/37.49 :PROOF-FOUND
% 37.26/37.49 *
%------------------------------------------------------------------------------