TSTP Solution File: LAT319+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT319+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 06:43:57 EDT 2022
% Result : Theorem 1.26s 1.45s
% Output : Refutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of clauses : 42 ( 15 unt; 21 nHn; 42 RR)
% Number of literals : 125 ( 0 equ; 64 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
~ v3_struct_0('SKOLEMAAAW1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_filter_2) ).
cnf(2,negated_conjecture,
v10_lattices('SKOLEMAAAW1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_filter_2) ).
cnf(3,negated_conjecture,
l3_lattices('SKOLEMAAAW1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_filter_2) ).
cnf(4,negated_conjecture,
( v3_struct_0('SKOLEMAAAW1')
| ~ v10_lattices('SKOLEMAAAW1')
| ~ v17_lattices('SKOLEMAAAW1')
| ~ l3_lattices('SKOLEMAAAW1')
| v3_struct_0(k1_lattice2('SKOLEMAAAW1'))
| ~ v10_lattices(k1_lattice2('SKOLEMAAAW1'))
| ~ v17_lattices(k1_lattice2('SKOLEMAAAW1'))
| ~ l3_lattices(k1_lattice2('SKOLEMAAAW1')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_filter_2) ).
cnf(5,plain,
( ~ v17_lattices('SKOLEMAAAW1')
| v3_struct_0(k1_lattice2('SKOLEMAAAW1'))
| ~ v10_lattices(k1_lattice2('SKOLEMAAAW1'))
| ~ v17_lattices(k1_lattice2('SKOLEMAAAW1'))
| ~ l3_lattices(k1_lattice2('SKOLEMAAAW1')) ),
inference('REWRITE',[status(thm)],[4,3,2,1]) ).
cnf(8,negated_conjecture,
( v17_lattices('SKOLEMAAAW1')
| v17_lattices(k1_lattice2('SKOLEMAAAW1')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_filter_2) ).
cnf(23,axiom,
( ~ l3_lattices(X)
| v3_struct_0(X)
| ~ v17_lattices(X)
| v11_lattices(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_lattices) ).
cnf(26,axiom,
( ~ l3_lattices(X)
| v3_struct_0(X)
| ~ v17_lattices(X)
| v15_lattices(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_lattices) ).
cnf(27,axiom,
( ~ l3_lattices(X)
| v3_struct_0(X)
| ~ v17_lattices(X)
| v16_lattices(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_lattices) ).
cnf(28,axiom,
( ~ l3_lattices(X)
| v3_struct_0(X)
| ~ v11_lattices(X)
| ~ v15_lattices(X)
| ~ v16_lattices(X)
| v17_lattices(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_lattices) ).
cnf(33,axiom,
( ~ l3_lattices(X)
| l3_lattices(k1_lattice2(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
cnf(52,axiom,
( v3_struct_0(X)
| ~ l3_lattices(X)
| ~ v3_struct_0(k1_lattice2(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
cnf(64,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ l3_lattices(X)
| v10_lattices(k1_lattice2(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
cnf(161,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ l3_lattices(X)
| ~ v15_lattices(X)
| ~ v16_lattices(X)
| v15_lattices(k1_lattice2(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_filter_2) ).
cnf(162,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ l3_lattices(X)
| ~ v15_lattices(X)
| ~ v16_lattices(X)
| v16_lattices(k1_lattice2(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_filter_2) ).
cnf(163,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ l3_lattices(X)
| v15_lattices(X)
| v3_struct_0(k1_lattice2(X))
| ~ v10_lattices(k1_lattice2(X))
| ~ v15_lattices(k1_lattice2(X))
| ~ v16_lattices(k1_lattice2(X))
| ~ l3_lattices(k1_lattice2(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_filter_2) ).
cnf(164,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ l3_lattices(X)
| v16_lattices(X)
| v3_struct_0(k1_lattice2(X))
| ~ v10_lattices(k1_lattice2(X))
| ~ v15_lattices(k1_lattice2(X))
| ~ v16_lattices(k1_lattice2(X))
| ~ l3_lattices(k1_lattice2(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_filter_2) ).
cnf(166,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ l3_lattices(X)
| ~ v11_lattices(X)
| v11_lattices(k1_lattice2(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_lattice2) ).
cnf(167,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ l3_lattices(X)
| v11_lattices(X)
| v3_struct_0(k1_lattice2(X))
| ~ v10_lattices(k1_lattice2(X))
| ~ v11_lattices(k1_lattice2(X))
| ~ l3_lattices(k1_lattice2(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_lattice2) ).
cnf(216,plain,
l3_lattices(k1_lattice2('SKOLEMAAAW1')),
inference('HYPERRESOLVE',[status(thm)],[33,3]) ).
cnf(217,plain,
( ~ v17_lattices('SKOLEMAAAW1')
| v3_struct_0(k1_lattice2('SKOLEMAAAW1'))
| ~ v10_lattices(k1_lattice2('SKOLEMAAAW1'))
| ~ v17_lattices(k1_lattice2('SKOLEMAAAW1')) ),
inference('REWRITE',[status(thm)],[5,216]) ).
cnf(236,plain,
~ v3_struct_0(k1_lattice2('SKOLEMAAAW1')),
inference('UR-RESOLVE',[status(thm)],[52,1,3]) ).
cnf(237,plain,
( ~ v17_lattices('SKOLEMAAAW1')
| ~ v10_lattices(k1_lattice2('SKOLEMAAAW1'))
| ~ v17_lattices(k1_lattice2('SKOLEMAAAW1')) ),
inference('REWRITE',[status(thm)],[217,236]) ).
cnf(303,plain,
v10_lattices(k1_lattice2('SKOLEMAAAW1')),
inference('UR-RESOLVE',[status(thm)],[64,1,2,3]) ).
cnf(304,plain,
( ~ v17_lattices('SKOLEMAAAW1')
| ~ v17_lattices(k1_lattice2('SKOLEMAAAW1')) ),
inference('REWRITE',[status(thm)],[237,303]) ).
cnf(474,plain,
( v17_lattices('SKOLEMAAAW1')
| v16_lattices(k1_lattice2('SKOLEMAAAW1')) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[27,216,8]),236]) ).
cnf(475,plain,
( v17_lattices('SKOLEMAAAW1')
| v15_lattices(k1_lattice2('SKOLEMAAAW1')) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[26,216,8]),236]) ).
cnf(478,plain,
( v17_lattices('SKOLEMAAAW1')
| v11_lattices(k1_lattice2('SKOLEMAAAW1')) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[23,216,8]),236]) ).
cnf(1621,plain,
( v16_lattices(k1_lattice2('SKOLEMAAAW1'))
| v16_lattices('SKOLEMAAAW1') ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[27,474,3]),1]) ).
cnf(1622,plain,
( v16_lattices(k1_lattice2('SKOLEMAAAW1'))
| v15_lattices('SKOLEMAAAW1') ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[26,474,3]),1]) ).
cnf(1626,plain,
( v15_lattices(k1_lattice2('SKOLEMAAAW1'))
| v16_lattices('SKOLEMAAAW1') ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[27,475,3]),1]) ).
cnf(1627,plain,
( v15_lattices(k1_lattice2('SKOLEMAAAW1'))
| v15_lattices('SKOLEMAAAW1') ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[26,475,3]),1]) ).
cnf(1645,plain,
( v11_lattices(k1_lattice2('SKOLEMAAAW1'))
| v11_lattices('SKOLEMAAAW1') ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[23,478,3]),1]) ).
cnf(7752,plain,
v15_lattices('SKOLEMAAAW1'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[163,1627,2,3,303,1622,216]),236,1]) ).
cnf(7755,plain,
v15_lattices(k1_lattice2('SKOLEMAAAW1')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[161,7752,2,3,1626]),1]) ).
cnf(7758,plain,
v16_lattices('SKOLEMAAAW1'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[164,7755,2,3,303,1621,216]),236,1]) ).
cnf(7761,plain,
v16_lattices(k1_lattice2('SKOLEMAAAW1')),
inference('UR-RESOLVE',[status(thm)],[162,7758,1,2,3,7752]) ).
cnf(7762,plain,
v11_lattices('SKOLEMAAAW1'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[167,1645,2,3,303,216]),236,1]) ).
cnf(7763,plain,
v11_lattices(k1_lattice2('SKOLEMAAAW1')),
inference('UR-RESOLVE',[status(thm)],[166,7762,1,2,3]) ).
cnf(7764,plain,
v17_lattices('SKOLEMAAAW1'),
inference('UR-RESOLVE',[status(thm)],[28,7762,3,1,7752,7758]) ).
cnf(7765,plain,
~ v17_lattices(k1_lattice2('SKOLEMAAAW1')),
inference('REWRITE',[status(thm)],[304,7764]) ).
cnf(7766,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[28,7763,216,236,7755,7765]),7761]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LAT319+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n021.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 : Thu Jun 30 01:55:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T01:55:12
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-30T01:55:12
% 0.18/0.50 WARNING:
% 0.18/0.50 |v2_funct_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.50 WARNING:
% 0.18/0.50 |v12_lattices| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.50 WARNING:
% 0.18/0.50 |v1_binop_1| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.50 WARNING:
% 0.18/0.50 |v1_partfun1| is a 3-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.50 WARNING:
% 0.18/0.50 |v2_binop_1| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.50 WARNING:
% 0.18/0.50 |v1_relat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.26/1.45
% 1.26/1.45
% 1.26/1.45 #||
% 1.26/1.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.26/1.45 % SZS output start Refutation
% See solution above
% 1.26/1.45 ||#
% 1.26/1.45
% 1.26/1.45 ; Summary of computation:
% 1.26/1.45 ; 9152 formulas have been input or derived (from 599 formulas).
% 1.26/1.45 ; 7766 (85%) were retained. Of these,
% 1.26/1.45 ; 56 ( 1%) were simplified or subsumed later,
% 1.26/1.45 ; 7710 (99%) are still being kept.
% 1.26/1.45 ;
% 1.26/1.45 ; Run time in seconds excluding printing time:
% 1.26/1.45 ; 0.020 2% Read assertion file (1 call)
% 1.26/1.45 ; 0.007 1% Assert (77 calls)
% 1.26/1.45 ; 0.352 36% Process new row (8,909 calls)
% 1.26/1.45 ; 0.432 44% Resolution (1,196 calls)
% 1.26/1.45 ; 0.002 0% Paramodulation (598 calls)
% 1.26/1.45 ; 0.000 0% Factoring (20 calls)
% 1.26/1.45 ; 0.002 0% Condensing (162 calls)
% 1.26/1.45 ; 0.002 0% Forward subsumption (162 calls)
% 1.26/1.45 ; 0.002 0% Backward subsumption (127 calls)
% 1.26/1.45 ; 0.000 0% Clause clause subsumption (73 calls)
% 1.26/1.45 ; 0.071 7% Forward simplification (8,856 calls)
% 1.26/1.45 ; 0.040 4% Backward simplification (7,765 calls)
% 1.26/1.45 ; 0.000 0% Ordering (161 calls)
% 1.26/1.45 ; 0.000 0% Sortal reasoning (32 calls)
% 1.26/1.45 ; 0.001 0% Purity testing (1 call)
% 1.26/1.45 ; 0.055 6% Other
% 1.26/1.45 ; 0.986 Total
% 1.26/1.45 ; 0.990 Real time
% 1.26/1.45 ;
% 1.26/1.45 ; Term-hash-array has 14,644 terms in all.
% 1.26/1.45 ; Feature-vector-row-index has 82 entries (114 at peak, 127 added, 45 deleted).
% 1.26/1.45 ; Feature-vector-row-index has 306 nodes (422 at peak, 518 added, 212 deleted).
% 1.26/1.45 ; Retrieved 83 possibly forward subsuming rows in 162 calls.
% 1.26/1.45 ; Retrieved 22 possibly backward subsumed rows in 127 calls.
% 1.26/1.45 ; Path-index has 14,651 entries (14,653 at peak, 14,669 added, 18 deleted).
% 1.26/1.45 ; Path-index has 3,570 nodes (3,572 at peak, 3,588 added, 18 deleted).
% 1.26/1.45 ; Trie-index has 14,651 entries (14,653 at peak, 14,669 added, 18 deleted).
% 1.26/1.45 ; Trie-index has 26,822 nodes (26,824 at peak, 26,851 added, 29 deleted).
% 1.26/1.45 ; Retrieved 1,782 generalization terms in 9,658 calls.
% 1.26/1.45 ; Retrieved 7,650 instance terms in 7,637 calls.
% 1.26/1.45 ; Retrieved 555,484 unifiable terms in 91,827 calls.
% 1.26/1.45 ;
% 1.26/1.45 ; The agenda of rows to process has 3 entries:
% 1.26/1.45 ; 1 with value 13 1 with value 17 1 with value 18
% 1.26/1.45 ; The agenda of rows to give has 7137 entries:
% 1.26/1.45 ; 1 with value (4 10) 347 with value (4 15) 61 with value (4 20)
% 1.26/1.45 ; 17 with value (4 11) 1515 with value (4 16) 38 with value (4 21)
% 1.26/1.45 ; 139 with value (4 12) 1965 with value (4 17) 9 with value (4 25)
% 1.26/1.45 ; 416 with value (4 13) 928 with value (4 18) 9 with value (4 26)
% 1.26/1.45 ; 184 with value (4 14) 1472 with value (4 19) 36 with value (4 27)
% 1.26/1.45 Evaluation took:
% 1.26/1.45 0.99 seconds of real time
% 1.26/1.45 0.913345 seconds of user run time
% 1.26/1.45 0.076775 seconds of system run time
% 1.26/1.45 [Run times include 0.126 seconds GC run time.]
% 1.26/1.45 0 calls to %EVAL
% 1.26/1.45 0 page faults and
% 1.26/1.45 94,583,928 bytes consed.
% 1.26/1.45 :PROOF-FOUND
% 1.26/1.45 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T01:55:13
% 1.26/1.45 :PROOF-FOUND
% 1.26/1.45 *
%------------------------------------------------------------------------------