TSTP Solution File: LAT291+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT291+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 06:43:28 EDT 2022
% Result : Theorem 0.73s 0.90s
% Output : Refutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 14
% Syntax : Number of clauses : 23 ( 16 unt; 6 nHn; 22 RR)
% Number of literals : 51 ( 13 equ; 23 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-4 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
~ v3_struct_0('SKOLEMAAAW1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_lopclset) ).
cnf(2,negated_conjecture,
v10_lattices('SKOLEMAAAW1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_lopclset) ).
cnf(3,negated_conjecture,
v17_lattices('SKOLEMAAAW1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_lopclset) ).
cnf(4,negated_conjecture,
~ v3_realset2('SKOLEMAAAW1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_lopclset) ).
cnf(5,negated_conjecture,
l3_lattices('SKOLEMAAAW1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_lopclset) ).
cnf(6,negated_conjecture,
k8_funct_2(u1_struct_0('SKOLEMAAAW1'),k1_zfmisc_1(k7_lopclset('SKOLEMAAAW1')),k9_lopclset('SKOLEMAAAW1'),k6_lattices('SKOLEMAAAW1')) != k7_lopclset('SKOLEMAAAW1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_lopclset) ).
cnf(56,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ v17_lattices(X)
| v3_realset2(X)
| ~ l3_lattices(X)
| k7_lopclset(X) = a_1_1_lopclset(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_lopclset) ).
cnf(57,axiom,
( v3_struct_0(X)
| ~ l1_lattices(X)
| m1_subset_1(k5_lattices(X),u1_struct_0(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_lattices) ).
cnf(68,axiom,
( ~ l3_lattices(X)
| l1_lattices(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
cnf(154,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ v17_lattices(X)
| v3_realset2(X)
| ~ l3_lattices(X)
| k9_lopclset(X) = k8_lopclset(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k9_lopclset) ).
cnf(159,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ v17_lattices(X)
| v3_realset2(X)
| ~ l3_lattices(X)
| ~ m1_subset_1(Y,u1_struct_0(X))
| k4_xboole_0(k7_lopclset(X),k8_funct_2(u1_struct_0(X),k1_zfmisc_1(k7_lopclset(X)),k9_lopclset(X),Y)) = k8_funct_2(u1_struct_0(X),k1_zfmisc_1(k7_lopclset(X)),k9_lopclset(X),k7_lattices(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_lopclset) ).
cnf(163,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ v17_lattices(X)
| v3_realset2(X)
| ~ l3_lattices(X)
| k8_funct_2(u1_struct_0(X),k1_zfmisc_1(k7_lopclset(X)),k9_lopclset(X),k5_lattices(X)) = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_lopclset) ).
cnf(164,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ v17_lattices(X)
| ~ l3_lattices(X)
| k7_lattices(X,k5_lattices(X)) = k6_lattices(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_lattice4) ).
cnf(165,axiom,
k4_xboole_0(X,k1_xboole_0) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_boole) ).
cnf(179,plain,
l1_lattices('SKOLEMAAAW1'),
inference('HYPERRESOLVE',[status(thm)],[68,5]) ).
cnf(348,plain,
k7_lopclset('SKOLEMAAAW1') = a_1_1_lopclset('SKOLEMAAAW1'),
inference('UR-RESOLVE',[status(thm)],[56,1,2,3,4,5]) ).
cnf(349,plain,
k8_funct_2(u1_struct_0('SKOLEMAAAW1'),k1_zfmisc_1(a_1_1_lopclset('SKOLEMAAAW1')),k9_lopclset('SKOLEMAAAW1'),k6_lattices('SKOLEMAAAW1')) != a_1_1_lopclset('SKOLEMAAAW1'),
inference('REWRITE',[status(thm)],[6,348,theory(equality)]) ).
cnf(354,plain,
k9_lopclset('SKOLEMAAAW1') = k8_lopclset('SKOLEMAAAW1'),
inference('UR-RESOLVE',[status(thm)],[154,1,2,3,4,5]) ).
cnf(355,plain,
k8_funct_2(u1_struct_0('SKOLEMAAAW1'),k1_zfmisc_1(a_1_1_lopclset('SKOLEMAAAW1')),k8_lopclset('SKOLEMAAAW1'),k6_lattices('SKOLEMAAAW1')) != a_1_1_lopclset('SKOLEMAAAW1'),
inference('REWRITE',[status(thm)],[349,354,theory(equality)]) ).
cnf(357,plain,
k7_lattices('SKOLEMAAAW1',k5_lattices('SKOLEMAAAW1')) = k6_lattices('SKOLEMAAAW1'),
inference('UR-RESOLVE',[status(thm)],[164,1,2,3,5]) ).
cnf(392,plain,
k8_funct_2(u1_struct_0('SKOLEMAAAW1'),k1_zfmisc_1(a_1_1_lopclset('SKOLEMAAAW1')),k8_lopclset('SKOLEMAAAW1'),k5_lattices('SKOLEMAAAW1')) = k1_xboole_0,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[163,1,2,3,4,5]),354,348,theory(equality)]) ).
cnf(414,plain,
m1_subset_1(k5_lattices('SKOLEMAAAW1'),u1_struct_0('SKOLEMAAAW1')),
inference('UR-RESOLVE',[status(thm)],[57,179,1]) ).
cnf(2221,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[159,414,1,2,3,4,5]),355,357,165,392,354,348,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT291+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 30 11:49:29 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T11:49:29
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-30T11:49:29
% 0.20/0.52
% 0.20/0.52 WARNING:
% 0.20/0.52 |v1_xcmplx_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.52 WARNING:
% 0.20/0.52 |v1_xreal_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.52 WARNING:
% 0.20/0.52 |v1_rat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.52 WARNING:
% 0.20/0.52 |v1_int_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.52 WARNING:
% 0.20/0.52 |v4_ordinal2| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.52 WARNING:
% 0.20/0.52 |v1_relat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.52 WARNING:
% 0.20/0.52 |v12_lattices| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.73/0.90 ; Recognized right identity assertion (= (|k4_xboole_0| ?X |k1_xboole_0|) ?X).
% 0.73/0.90
% 0.73/0.90 #||
% 0.73/0.90 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.73/0.90 % SZS output start Refutation
% See solution above
% 0.73/0.90 ||#
% 0.73/0.90
% 0.73/0.90 ; Summary of computation:
% 0.73/0.90 ; 4415 formulas have been input or derived (from 319 formulas).
% 0.73/0.90 ; 2221 (50%) were retained. Of these,
% 0.73/0.90 ; 74 ( 3%) were simplified or subsumed later,
% 0.73/0.90 ; 2147 (97%) are still being kept.
% 0.73/0.90 ;
% 0.73/0.90 ; Run time in seconds excluding printing time:
% 0.73/0.90 ; 0.024 6% Read assertion file (1 call)
% 0.73/0.90 ; 0.005 1% Assert (101 calls)
% 0.73/0.90 ; 0.140 34% Process new row (4,297 calls)
% 0.73/0.90 ; 0.130 31% Resolution (636 calls)
% 0.73/0.90 ; 0.007 2% Paramodulation (318 calls)
% 0.73/0.90 ; 0.000 0% Factoring (17 calls)
% 0.73/0.90 ; 0.005 1% Condensing (614 calls)
% 0.73/0.90 ; 0.007 2% Forward subsumption (614 calls)
% 0.73/0.90 ; 0.010 2% Backward subsumption (362 calls)
% 0.73/0.90 ; 0.002 0% Clause clause subsumption (666 calls)
% 0.73/0.90 ; 0.023 6% Forward simplification (4,273 calls)
% 0.73/0.90 ; 0.012 3% Backward simplification (2,221 calls)
% 0.73/0.90 ; 0.003 1% Ordering (569 calls)
% 0.73/0.90 ; 0.000 0% Sortal reasoning (32 calls)
% 0.73/0.90 ; 0.002 0% Purity testing (1 call)
% 0.73/0.90 ; 0.046 11% Other
% 0.73/0.90 ; 0.416 Total
% 0.73/0.90 ; 0.418 Real time
% 0.73/0.90 ;
% 0.73/0.90 ; Term-hash-array has 4,012 terms in all.
% 0.73/0.90 ; Feature-vector-row-index has 350 entries (362 at peak, 362 added, 12 deleted).
% 0.73/0.90 ; Feature-vector-row-index has 1,065 nodes (1,159 at peak, 1,159 added, 94 deleted).
% 0.73/0.90 ; Retrieved 731 possibly forward subsuming rows in 614 calls.
% 0.73/0.90 ; Retrieved 152 possibly backward subsumed rows in 362 calls.
% 0.73/0.90 ; Path-index has 3,933 entries (3,933 at peak, 4,025 added, 92 deleted).
% 0.73/0.90 ; Path-index has 3,192 nodes (3,194 at peak, 3,382 added, 190 deleted).
% 0.73/0.90 ; Trie-index has 3,933 entries (3,933 at peak, 4,025 added, 92 deleted).
% 0.73/0.90 ; Trie-index has 8,668 nodes (8,675 at peak, 9,159 added, 491 deleted).
% 0.73/0.90 ; Retrieved 2,360 generalization terms in 5,889 calls.
% 0.73/0.90 ; Retrieved 1,882 instance terms in 1,858 calls.
% 0.73/0.90 ; Retrieved 124,272 unifiable terms in 24,621 calls.
% 0.73/0.90 ;
% 0.73/0.90 ; The agenda of rows to process has 1 entry:
% 0.73/0.90 ; 1 with value 40
% 0.73/0.90 ; The agenda of rows to give has 1836 entries:
% 0.73/0.90 ; 57 with value (4 9) 23 with value (4 17) 20 with value (4 26)
% 0.73/0.90 ; 100 with value (4 10) 22 with value (4 18) 2 with value (4 27)
% 0.73/0.90 ; 209 with value (4 11) 6 with value (4 19) 16 with value (4 28)
% 0.73/0.90 ; 295 with value (4 12) 3 with value (4 20) 10 with value (4 31)
% 0.73/0.90 ; 375 with value (4 13) 4 with value (4 21) 2 with value (4 32)
% 0.73/0.90 ; 369 with value (4 14) 2 with value (4 22) 2 with value (4 34)
% 0.73/0.90 ; 177 with value (4 15) 4 with value (4 24) 4 with value (4 37)
% 0.73/0.90 ; 129 with value (4 16) 5 with value (4 25)
% 0.73/0.90 Evaluation took:
% 0.73/0.90 0.418 seconds of real time
% 0.73/0.90 0.372807 seconds of user run time
% 0.73/0.90 0.045281 seconds of system run time
% 0.73/0.90 [Run times include 0.032 seconds GC run time.]
% 0.73/0.90 0 calls to %EVAL
% 0.73/0.90 0 page faults and
% 0.73/0.90 30,327,736 bytes consed.
% 0.73/0.90 :PROOF-FOUND
% 0.73/0.90 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T11:49:30
% 0.73/0.90 :PROOF-FOUND
% 0.73/0.90 *
%------------------------------------------------------------------------------