%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT327+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 06:44:05 EDT 2022
% Result : Theorem 0.37s 0.54s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of clauses : 21 ( 14 unt; 6 nHn; 21 RR)
% Number of literals : 53 ( 0 equ; 29 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 12 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
~ v3_struct_0('SKOLEMAAAU1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_filter_2) ).
cnf(2,negated_conjecture,
v10_lattices('SKOLEMAAAU1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_filter_2) ).
cnf(3,negated_conjecture,
l3_lattices('SKOLEMAAAU1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_filter_2) ).
cnf(4,negated_conjecture,
m1_subset_1('SKOLEMAAAU2',u1_struct_0('SKOLEMAAAU1')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_filter_2) ).
cnf(5,negated_conjecture,
m1_subset_1('SKOLEMAAAU3',u1_struct_0('SKOLEMAAAU1')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_filter_2) ).
cnf(6,negated_conjecture,
r3_lattices('SKOLEMAAAU1','SKOLEMAAAU2','SKOLEMAAAU3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_filter_2) ).
cnf(7,negated_conjecture,
( ~ r2_hidden('SKOLEMAAAU2',k22_filter_2('SKOLEMAAAU1','SKOLEMAAAU2','SKOLEMAAAU3'))
| ~ r2_hidden('SKOLEMAAAU3',k22_filter_2('SKOLEMAAAU1','SKOLEMAAAU2','SKOLEMAAAU3')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_filter_2) ).
cnf(40,axiom,
( v3_struct_0(X)
| ~ v6_lattices(X)
| ~ v8_lattices(X)
| ~ v9_lattices(X)
| ~ l3_lattices(X)
| ~ m1_subset_1(Y,u1_struct_0(X))
| ~ m1_subset_1(Z,u1_struct_0(X))
| r3_lattices(X,Y,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r3_lattices) ).
cnf(41,plain,
( v3_struct_0(X)
| ~ v6_lattices(X)
| ~ v8_lattices(X)
| ~ v9_lattices(X)
| ~ l3_lattices(X)
| ~ m1_subset_1(Y,u1_struct_0(X))
| r3_lattices(X,Y,Y) ),
inference('CONDENSE',[status(thm)],[40]) ).
cnf(52,axiom,
( ~ l3_lattices(X)
| v3_struct_0(X)
| ~ v10_lattices(X)
| v6_lattices(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).
cnf(54,axiom,
( ~ l3_lattices(X)
| v3_struct_0(X)
| ~ v10_lattices(X)
| v8_lattices(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).
cnf(55,axiom,
( ~ l3_lattices(X)
| v3_struct_0(X)
| ~ v10_lattices(X)
| v9_lattices(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).
cnf(60,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))
| ~ m1_subset_1(U,u1_struct_0(X))
| ~ r3_lattices(X,Y,Z)
| r2_hidden(U,k22_filter_2(X,Y,Z))
| ~ r3_lattices(X,Y,U)
| ~ r3_lattices(X,U,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_filter_2) ).
cnf(90,plain,
v6_lattices('SKOLEMAAAU1'),
inference('UR-RESOLVE',[status(thm)],[52,3,1,2]) ).
cnf(92,plain,
v8_lattices('SKOLEMAAAU1'),
inference('UR-RESOLVE',[status(thm)],[54,3,1,2]) ).
cnf(93,plain,
v9_lattices('SKOLEMAAAU1'),
inference('UR-RESOLVE',[status(thm)],[55,3,1,2]) ).
cnf(123,plain,
r3_lattices('SKOLEMAAAU1','SKOLEMAAAU2','SKOLEMAAAU2'),
inference('UR-RESOLVE',[status(thm)],[41,93,1,90,92,3,4]) ).
cnf(124,plain,
r3_lattices('SKOLEMAAAU1','SKOLEMAAAU3','SKOLEMAAAU3'),
inference('UR-RESOLVE',[status(thm)],[41,93,1,90,92,3,5]) ).
cnf(152,plain,
r2_hidden('SKOLEMAAAU2',k22_filter_2('SKOLEMAAAU1','SKOLEMAAAU2','SKOLEMAAAU3')),
inference('UR-RESOLVE',[status(thm)],[60,123,1,2,3,4,5,4,6,6]) ).
cnf(153,plain,
~ r2_hidden('SKOLEMAAAU3',k22_filter_2('SKOLEMAAAU1','SKOLEMAAAU2','SKOLEMAAAU3')),
inference('REWRITE',[status(thm)],[7,152]) ).
cnf(154,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[60,153,1,2,3,4,5,5,6,6]),124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT327+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n006.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 29 09:15:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T09:15:23
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-29T09:15:23
% 0.20/0.49 WARNING:
% 0.20/0.49 |v1_funct_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.37/0.54
% 0.37/0.54
% 0.37/0.54 #||
% 0.37/0.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.54 % SZS output start Refutation
% See solution above
% 0.39/0.54 ||#
% 0.39/0.54
% 0.39/0.54 ; Summary of computation:
% 0.39/0.54 ; 240 formulas have been input or derived (from 91 formulas).
% 0.39/0.54 ; 154 (64%) were retained. Of these,
% 0.39/0.54 ; 7 ( 5%) were simplified or subsumed later,
% 0.39/0.54 ; 147 (95%) are still being kept.
% 0.39/0.54 ;
% 0.39/0.54 ; Run time in seconds excluding printing time:
% 0.39/0.54 ; 0.009 13% Read assertion file (1 call)
% 0.39/0.54 ; 0.002 3% Assert (43 calls)
% 0.39/0.54 ; 0.008 11% Process new row (218 calls)
% 0.39/0.54 ; 0.015 21% Resolution (180 calls)
% 0.39/0.54 ; 0.000 0% Paramodulation (90 calls)
% 0.39/0.54 ; 0.000 0% Factoring (1 call)
% 0.39/0.54 ; 0.000 0% Condensing (48 calls)
% 0.39/0.54 ; 0.001 1% Forward subsumption (48 calls)
% 0.39/0.54 ; 0.000 0% Backward subsumption (48 calls)
% 0.39/0.54 ; 0.001 1% Clause clause subsumption (6 calls)
% 0.39/0.54 ; 0.005 7% Forward simplification (216 calls)
% 0.39/0.54 ; 0.003 4% Backward simplification (153 calls)
% 0.39/0.54 ; 0.000 0% Ordering (24 calls)
% 0.39/0.54 ; 0.001 1% Sortal reasoning (32 calls)
% 0.39/0.54 ; 0.000 0% Purity testing (1 call)
% 0.39/0.54 ; 0.025 36% Other
% 0.39/0.54 ; 0.070 Total
% 0.39/0.54 ; 0.075 Real time
% 0.39/0.54 ;
% 0.39/0.54 ; Term-hash-array has 221 terms in all.
% 0.39/0.54 ; Feature-vector-row-index has 45 entries (48 at peak, 48 added, 3 deleted).
% 0.39/0.54 ; Feature-vector-row-index has 157 nodes (184 at peak, 184 added, 27 deleted).
% 0.39/0.54 ; Retrieved 13 possibly forward subsuming rows in 48 calls.
% 0.39/0.54 ; Retrieved 17 possibly backward subsumed rows in 48 calls.
% 0.39/0.54 ; Path-index has 229 entries (229 at peak, 235 added, 6 deleted).
% 0.39/0.54 ; Path-index has 392 nodes (392 at peak, 396 added, 4 deleted).
% 0.39/0.54 ; Trie-index has 229 entries (229 at peak, 235 added, 6 deleted).
% 0.39/0.54 ; Trie-index has 470 nodes (470 at peak, 485 added, 15 deleted).
% 0.39/0.54 ; Retrieved 112 generalization terms in 316 calls.
% 0.39/0.54 ; Retrieved 115 instance terms in 104 calls.
% 0.39/0.54 ; Retrieved 8,260 unifiable terms in 2,751 calls.
% 0.39/0.54 ;
% 0.39/0.54 ; The agenda of rows to give has 60 entries:
% 0.39/0.54 ; 3 with value (4 7) 4 with value (4 10) 6 with value (4 13)
% 0.39/0.54 ; 12 with value (4 8) 10 with value (4 11) 3 with value (4 14)
% 0.39/0.54 ; 11 with value (4 9) 9 with value (4 12) 2 with value (4 15)
% 0.39/0.54 Evaluation took:
% 0.39/0.54 0.075 seconds of real time
% 0.39/0.54 0.06423 seconds of user run time
% 0.39/0.54 0.009323 seconds of system run time
% 0.39/0.54 0 calls to %EVAL
% 0.39/0.54 0 page faults and
% 0.39/0.54 4,909,704 bytes consed.
% 0.39/0.54 :PROOF-FOUND
% 0.39/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T09:15:23
% 0.39/0.54 :PROOF-FOUND
% 0.39/0.54 *
%------------------------------------------------------------------------------