TSTP Solution File: LAT310+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT310+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 06:43:47 EDT 2022
% Result : Theorem 0.80s 0.98s
% Output : Refutation 0.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 19
% Syntax : Number of clauses : 32 ( 23 unt; 5 nHn; 31 RR)
% Number of literals : 69 ( 2 equ; 36 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
~ v3_struct_0('SKOLEMAAAU1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_filter_2) ).
cnf(2,negated_conjecture,
v10_lattices('SKOLEMAAAU1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_filter_2) ).
cnf(3,negated_conjecture,
l3_lattices('SKOLEMAAAU1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_filter_2) ).
cnf(4,negated_conjecture,
~ v1_xboole_0('SKOLEMAAAU2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_filter_2) ).
cnf(5,negated_conjecture,
m1_subset_1('SKOLEMAAAU2',k1_zfmisc_1(u1_struct_0('SKOLEMAAAU1'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_filter_2) ).
cnf(6,negated_conjecture,
~ v1_xboole_0('SKOLEMAAAU3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_filter_2) ).
cnf(7,negated_conjecture,
m1_subset_1('SKOLEMAAAU3',k1_zfmisc_1(u1_struct_0('SKOLEMAAAU1'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_filter_2) ).
cnf(8,negated_conjecture,
~ v1_xboole_0('SKOLEMAAAU4'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_filter_2) ).
cnf(9,negated_conjecture,
m1_subset_1('SKOLEMAAAU4',k1_zfmisc_1(u1_struct_0('SKOLEMAAAU1'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_filter_2) ).
cnf(10,negated_conjecture,
( r1_tarski('SKOLEMAAAU3','SKOLEMAAAU4')
| ~ r1_tarski(k19_filter_2('SKOLEMAAAU1',k19_filter_2('SKOLEMAAAU1','SKOLEMAAAU2')),k19_filter_2('SKOLEMAAAU1','SKOLEMAAAU2')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_filter_2) ).
cnf(11,negated_conjecture,
( ~ r1_tarski(k19_filter_2('SKOLEMAAAU1','SKOLEMAAAU3'),k19_filter_2('SKOLEMAAAU1','SKOLEMAAAU4'))
| ~ r1_tarski(k19_filter_2('SKOLEMAAAU1',k19_filter_2('SKOLEMAAAU1','SKOLEMAAAU2')),k19_filter_2('SKOLEMAAAU1','SKOLEMAAAU2')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_filter_2) ).
cnf(20,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ l3_lattices(X)
| v1_xboole_0(Y)
| ~ m1_subset_1(Y,k1_zfmisc_1(u1_struct_0(X)))
| ~ m2_filter_2(Z,X)
| Z != k19_filter_2(X,Y)
| r1_tarski(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_filter_2) ).
cnf(21,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ l3_lattices(X)
| v1_xboole_0(Y)
| ~ m1_subset_1(Y,k1_zfmisc_1(u1_struct_0(X)))
| ~ m2_filter_2(Z,X)
| Z != k19_filter_2(X,Y)
| ~ m2_filter_2(U,X)
| ~ r1_tarski(Y,U)
| r1_tarski(Z,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_filter_2) ).
cnf(25,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ l3_lattices(X)
| v1_xboole_0(Y)
| ~ m1_subset_1(Y,k1_zfmisc_1(u1_struct_0(X)))
| m2_filter_2(k19_filter_2(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k19_filter_2) ).
cnf(30,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ l3_lattices(X)
| ~ m2_filter_2(Y,X)
| ~ v1_xboole_0(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
cnf(31,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ l3_lattices(X)
| ~ m2_filter_2(Y,X)
| m2_lattice4(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
cnf(32,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ l3_lattices(X)
| ~ m2_lattice4(Y,X)
| m1_subset_1(Y,k1_zfmisc_1(u1_struct_0(X))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_lattice4) ).
cnf(55,axiom,
r1_tarski(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
cnf(57,axiom,
( ~ r1_tarski(X,Y)
| ~ r1_tarski(Y,Z)
| r1_tarski(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
cnf(120,plain,
m2_filter_2(k19_filter_2('SKOLEMAAAU1','SKOLEMAAAU4'),'SKOLEMAAAU1'),
inference('UR-RESOLVE',[status(thm)],[25,1,2,3,8,9]) ).
cnf(121,plain,
m2_filter_2(k19_filter_2('SKOLEMAAAU1','SKOLEMAAAU3'),'SKOLEMAAAU1'),
inference('UR-RESOLVE',[status(thm)],[25,1,2,3,6,7]) ).
cnf(122,plain,
m2_filter_2(k19_filter_2('SKOLEMAAAU1','SKOLEMAAAU2'),'SKOLEMAAAU1'),
inference('UR-RESOLVE',[status(thm)],[25,1,2,3,4,5]) ).
cnf(188,plain,
r1_tarski('SKOLEMAAAU4',k19_filter_2('SKOLEMAAAU1','SKOLEMAAAU4')),
inference('UR-RESOLVE',[status(thm)],[20,120,1,2,3,8,9,theory(equality)]) ).
cnf(193,plain,
~ v1_xboole_0(k19_filter_2('SKOLEMAAAU1','SKOLEMAAAU2')),
inference('UR-RESOLVE',[status(thm)],[30,122,1,2,3]) ).
cnf(195,plain,
m2_lattice4(k19_filter_2('SKOLEMAAAU1','SKOLEMAAAU2'),'SKOLEMAAAU1'),
inference('UR-RESOLVE',[status(thm)],[31,122,1,2,3]) ).
cnf(298,plain,
m1_subset_1(k19_filter_2('SKOLEMAAAU1','SKOLEMAAAU2'),k1_zfmisc_1(u1_struct_0('SKOLEMAAAU1'))),
inference('UR-RESOLVE',[status(thm)],[32,195,1,2,3]) ).
cnf(836,plain,
m2_filter_2(k19_filter_2('SKOLEMAAAU1',k19_filter_2('SKOLEMAAAU1','SKOLEMAAAU2')),'SKOLEMAAAU1'),
inference('UR-RESOLVE',[status(thm)],[25,298,1,2,3,193]) ).
cnf(1554,plain,
r1_tarski(k19_filter_2('SKOLEMAAAU1',k19_filter_2('SKOLEMAAAU1','SKOLEMAAAU2')),k19_filter_2('SKOLEMAAAU1','SKOLEMAAAU2')),
inference('UR-RESOLVE',[status(thm)],[21,836,1,2,3,193,298,122,55,theory(equality)]) ).
cnf(1555,plain,
r1_tarski('SKOLEMAAAU3','SKOLEMAAAU4'),
inference('REWRITE',[status(thm)],[10,1554]) ).
cnf(1556,plain,
~ r1_tarski(k19_filter_2('SKOLEMAAAU1','SKOLEMAAAU3'),k19_filter_2('SKOLEMAAAU1','SKOLEMAAAU4')),
inference('REWRITE',[status(thm)],[11,1554]) ).
cnf(1561,plain,
r1_tarski('SKOLEMAAAU3',k19_filter_2('SKOLEMAAAU1','SKOLEMAAAU4')),
inference('HYPERRESOLVE',[status(thm)],[57,1555,188]) ).
cnf(1568,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[21,1556,1,2,3,6,7,121,120,theory(equality)]),1561]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LAT310+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.11 % Command : run-snark %s %d
% 0.11/0.32 % Computer : n004.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Wed Jun 29 02:37:23 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.45 *
% 0.17/0.45 *
% 0.17/0.45 #<PACKAGE "SNARK-USER">
% 0.17/0.45 *
% 0.17/0.45 SNARK-TPTP-OPTIONS
% 0.17/0.45 *
% 0.17/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.45 (USE-FACTORING :POS)
% 0.17/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.45 *
% 0.17/0.45 "."
% 0.17/0.45 *
% 0.17/0.45 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-29T02:37:23
% 0.17/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-29T02:37:23
% 0.17/0.48 WARNING:
% 0.17/0.48 |v1_funct_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.80/0.98
% 0.80/0.98
% 0.80/0.98 #||
% 0.80/0.98 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.80/0.98 % SZS output start Refutation
% See solution above
% 0.80/0.99 ||#
% 0.80/0.99
% 0.80/0.99 ; Summary of computation:
% 0.80/0.99 ; 4178 formulas have been input or derived (from 566 formulas).
% 0.80/0.99 ; 1568 (38%) were retained. Of these,
% 0.80/0.99 ; 16 ( 1%) were simplified or subsumed later,
% 0.80/0.99 ; 1552 (99%) are still being kept.
% 0.80/0.99 ;
% 0.80/0.99 ; Run time in seconds excluding printing time:
% 0.80/0.99 ; 0.009 2% Read assertion file (1 call)
% 0.80/0.99 ; 0.002 0% Assert (44 calls)
% 0.80/0.99 ; 0.080 15% Process new row (3,170 calls)
% 0.80/0.99 ; 0.346 65% Resolution (1,130 calls)
% 0.80/0.99 ; 0.005 1% Paramodulation (565 calls)
% 0.80/0.99 ; 0.000 0% Factoring (11 calls)
% 0.80/0.99 ; 0.001 0% Condensing (136 calls)
% 0.80/0.99 ; 0.004 1% Forward subsumption (136 calls)
% 0.80/0.99 ; 0.003 1% Backward subsumption (124 calls)
% 0.80/0.99 ; 0.001 0% Clause clause subsumption (79 calls)
% 0.80/0.99 ; 0.026 5% Forward simplification (3,113 calls)
% 0.80/0.99 ; 0.011 2% Backward simplification (1,568 calls)
% 0.80/0.99 ; 0.000 0% Ordering (456 calls)
% 0.80/0.99 ; 0.001 0% Sortal reasoning (32 calls)
% 0.80/0.99 ; 0.000 0% Purity testing (1 call)
% 0.80/0.99 ; 0.042 8% Other
% 0.80/0.99 ; 0.531 Total
% 0.80/0.99 ; 0.534 Real time
% 0.80/0.99 ;
% 0.80/0.99 ; Term-hash-array has 2,160 terms in all.
% 0.80/0.99 ; Feature-vector-row-index has 120 entries (122 at peak, 124 added, 4 deleted).
% 0.80/0.99 ; Feature-vector-row-index has 846 nodes (874 at peak, 896 added, 50 deleted).
% 0.80/0.99 ; Retrieved 88 possibly forward subsuming rows in 136 calls.
% 0.80/0.99 ; Retrieved 28 possibly backward subsumed rows in 124 calls.
% 0.80/0.99 ; Path-index has 2,160 entries (2,160 at peak, 2,180 added, 20 deleted).
% 0.80/0.99 ; Path-index has 3,004 nodes (3,004 at peak, 3,019 added, 15 deleted).
% 0.80/0.99 ; Trie-index has 2,160 entries (2,160 at peak, 2,180 added, 20 deleted).
% 0.80/0.99 ; Trie-index has 5,863 nodes (5,863 at peak, 5,913 added, 50 deleted).
% 0.80/0.99 ; Retrieved 3,699 generalization terms in 4,509 calls.
% 0.80/0.99 ; Retrieved 1,475 instance terms in 1,443 calls.
% 0.80/0.99 ; Retrieved 303,762 unifiable terms in 65,922 calls.
% 0.80/0.99 ;
% 0.80/0.99 ; The agenda of rows to process has 16 entries:
% 0.80/0.99 ; 1 with value 9 1 with value 13 3 with value 16
% 0.80/0.99 ; 2 with value 10 1 with value 14 1 with value 19
% 0.80/0.99 ; 3 with value 12 3 with value 15 1 with value 20
% 0.80/0.99 ; The agenda of rows to give has 994 entries:
% 0.80/0.99 ; 1 with value (4 7) 113 with value (4 18) 6 with value (4 25)
% 0.80/0.99 ; 1 with value (4 9) 132 with value (4 19) 2 with value (4 26)
% 0.80/0.99 ; 2 with value (4 10) 86 with value (4 20) 4 with value (4 28)
% 0.80/0.99 ; 1 with value (4 12) 61 with value (4 21) 7 with value (4 29)
% 0.80/0.99 ; 74 with value (4 14) 45 with value (4 22) 3 with value (4 31)
% 0.80/0.99 ; 158 with value (4 15) 41 with value (4 23) 3 with value (4 38)
% 0.80/0.99 ; 142 with value (4 16) 1 with value (4 24) 3 with value (4 40)
% 0.80/0.99 ; 108 with value (4 17)
% 0.80/0.99 Evaluation took:
% 0.80/0.99 0.534 seconds of real time
% 0.80/0.99 0.506269 seconds of user run time
% 0.80/0.99 0.027909 seconds of system run time
% 0.80/0.99 [Run times include 0.025 seconds GC run time.]
% 0.80/0.99 0 calls to %EVAL
% 0.80/0.99 0 page faults and
% 0.80/0.99 44,175,352 bytes consed.
% 0.80/0.99 :PROOF-FOUND
% 0.80/0.99 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-29T02:37:24
% 0.80/0.99 :PROOF-FOUND
% 0.80/0.99 *
%------------------------------------------------------------------------------