TSTP Solution File: SEU304+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU304+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 : Tue Jul 19 14:21:07 EDT 2022
% Result : Theorem 0.57s 0.77s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 14
% Syntax : Number of clauses : 24 ( 17 unt; 5 nHn; 24 RR)
% Number of literals : 50 ( 8 equ; 24 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( empty_carrier(X)
| ~ meet_commutative(X)
| ~ meet_semilatt_str(X)
| ~ element(Y,the_carrier(X))
| ~ element(Z,the_carrier(X))
| meet_commut(X,Y,Z) = meet_commut(X,Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k4_lattices) ).
cnf(9,axiom,
( empty_carrier(X)
| ~ join_semilatt_str(X)
| ~ element(Y,the_carrier(X))
| ~ element(Z,the_carrier(X))
| below(X,Y,Z)
| join(X,Y,Z) != Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_lattices) ).
cnf(10,axiom,
( empty_carrier(X)
| ~ latt_str(X)
| ~ meet_absorbing(X)
| ~ element(Y,the_carrier(X))
| ~ element(Z,the_carrier(X))
| join(X,meet(X,Y,Z),Z) = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_lattices) ).
cnf(16,axiom,
( empty_carrier(X)
| ~ meet_semilatt_str(X)
| ~ element(Y,the_carrier(X))
| ~ element(Z,the_carrier(X))
| element(meet(X,Y,Z),the_carrier(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_lattices) ).
cnf(20,axiom,
( ~ latt_str(X)
| meet_semilatt_str(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
cnf(21,axiom,
( ~ latt_str(X)
| join_semilatt_str(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
cnf(46,axiom,
( empty_carrier(X)
| ~ meet_commutative(X)
| ~ meet_semilatt_str(X)
| ~ element(Y,the_carrier(X))
| ~ element(Z,the_carrier(X))
| meet_commut(X,Y,Z) = meet(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_lattices) ).
cnf(51,negated_conjecture,
~ empty_carrier('SKOLEMAAAV12'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_lattices) ).
cnf(52,negated_conjecture,
meet_commutative('SKOLEMAAAV12'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_lattices) ).
cnf(53,negated_conjecture,
meet_absorbing('SKOLEMAAAV12'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_lattices) ).
cnf(54,negated_conjecture,
latt_str('SKOLEMAAAV12'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_lattices) ).
cnf(55,negated_conjecture,
element('SKOLEMAAAV13',the_carrier('SKOLEMAAAV12')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_lattices) ).
cnf(56,negated_conjecture,
element('SKOLEMAAAV14',the_carrier('SKOLEMAAAV12')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_lattices) ).
cnf(57,negated_conjecture,
~ below('SKOLEMAAAV12',meet_commut('SKOLEMAAAV12','SKOLEMAAAV13','SKOLEMAAAV14'),'SKOLEMAAAV13'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_lattices) ).
cnf(68,plain,
meet_semilatt_str('SKOLEMAAAV12'),
inference('HYPERRESOLVE',[status(thm)],[20,54]) ).
cnf(70,plain,
join_semilatt_str('SKOLEMAAAV12'),
inference('HYPERRESOLVE',[status(thm)],[21,54]) ).
cnf(97,plain,
join('SKOLEMAAAV12',meet('SKOLEMAAAV12','SKOLEMAAAV14','SKOLEMAAAV13'),'SKOLEMAAAV13') = 'SKOLEMAAAV13',
inference('UR-RESOLVE',[status(thm)],[10,51,54,53,56,55]) ).
cnf(116,plain,
element(meet('SKOLEMAAAV12','SKOLEMAAAV14','SKOLEMAAAV13'),the_carrier('SKOLEMAAAV12')),
inference('UR-RESOLVE',[status(thm)],[16,68,51,56,55]) ).
cnf(119,plain,
meet_commut('SKOLEMAAAV12','SKOLEMAAAV13','SKOLEMAAAV14') = meet('SKOLEMAAAV12','SKOLEMAAAV13','SKOLEMAAAV14'),
inference('UR-RESOLVE',[status(thm)],[46,68,51,52,55,56]) ).
cnf(120,plain,
~ below('SKOLEMAAAV12',meet('SKOLEMAAAV12','SKOLEMAAAV13','SKOLEMAAAV14'),'SKOLEMAAAV13'),
inference('REWRITE',[status(thm)],[57,119,theory(equality)]) ).
cnf(121,plain,
meet_commut('SKOLEMAAAV12','SKOLEMAAAV14','SKOLEMAAAV13') = meet('SKOLEMAAAV12','SKOLEMAAAV14','SKOLEMAAAV13'),
inference('UR-RESOLVE',[status(thm)],[46,68,51,52,56,55]) ).
cnf(123,plain,
meet('SKOLEMAAAV12','SKOLEMAAAV13','SKOLEMAAAV14') = meet('SKOLEMAAAV12','SKOLEMAAAV14','SKOLEMAAAV13'),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[5,68,51,52,55,56]),121,119,theory(equality)]) ).
cnf(1067,plain,
below('SKOLEMAAAV12',meet('SKOLEMAAAV12','SKOLEMAAAV14','SKOLEMAAAV13'),'SKOLEMAAAV13'),
inference('UR-RESOLVE',[status(thm)],[9,97,51,70,116,55]) ).
cnf(1069,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[120,123,theory(equality)]),1067]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU304+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n028.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 : Sun Jun 19 18:30:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-19T18:30:45
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-19T18:30:45
% 0.57/0.77
% 0.57/0.77
% 0.57/0.77 #||
% 0.57/0.77 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.57/0.77 % SZS output start Refutation
% See solution above
% 0.57/0.78 ||#
% 0.57/0.78
% 0.57/0.78 ; Summary of computation:
% 0.57/0.78 ; 2533 formulas have been input or derived (from 135 formulas).
% 0.57/0.78 ; 1069 (42%) were retained. Of these,
% 0.57/0.78 ; 124 (12%) were simplified or subsumed later,
% 0.57/0.78 ; 945 (88%) are still being kept.
% 0.57/0.78 ;
% 0.57/0.78 ; Run time in seconds excluding printing time:
% 0.57/0.78 ; 0.011 4% Read assertion file (1 call)
% 0.57/0.78 ; 0.002 1% Assert (50 calls)
% 0.57/0.78 ; 0.094 30% Process new row (2,450 calls)
% 0.57/0.78 ; 0.107 35% Resolution (268 calls)
% 0.57/0.78 ; 0.001 0% Paramodulation (134 calls)
% 0.57/0.78 ; 0.000 0% Factoring (3 calls)
% 0.57/0.78 ; 0.002 1% Condensing (67 calls)
% 0.57/0.78 ; 0.002 1% Forward subsumption (67 calls)
% 0.57/0.78 ; 0.001 0% Backward subsumption (66 calls)
% 0.57/0.78 ; 0.000 0% Clause clause subsumption (3 calls)
% 0.57/0.78 ; 0.038 12% Forward simplification (2,450 calls)
% 0.57/0.78 ; 0.012 4% Backward simplification (1,069 calls)
% 0.57/0.78 ; 0.003 1% Ordering (692 calls)
% 0.57/0.78 ; 0.000 0% Sortal reasoning (32 calls)
% 0.57/0.78 ; 0.000 0% Purity testing (1 call)
% 0.57/0.78 ; 0.037 12% Other
% 0.57/0.78 ; 0.310 Total
% 0.57/0.78 ; 0.313 Real time
% 0.57/0.78 ;
% 0.57/0.78 ; Term-hash-array has 1,889 terms in all.
% 0.57/0.78 ; Feature-vector-row-index has 64 entries (64 at peak, 66 added, 2 deleted).
% 0.57/0.78 ; Feature-vector-row-index has 344 nodes (344 at peak, 355 added, 11 deleted).
% 0.57/0.78 ; Retrieved 2 possibly forward subsuming rows in 67 calls.
% 0.57/0.78 ; Retrieved 1 possibly backward subsumed row in 66 calls.
% 0.57/0.78 ; Path-index has 1,776 entries (1,776 at peak, 1,900 added, 124 deleted).
% 0.57/0.78 ; Path-index has 1,337 nodes (1,337 at peak, 1,521 added, 184 deleted).
% 0.57/0.78 ; Trie-index has 1,776 entries (1,776 at peak, 1,900 added, 124 deleted).
% 0.57/0.78 ; Trie-index has 10,912 nodes (10,912 at peak, 11,646 added, 734 deleted).
% 0.57/0.78 ; Retrieved 2,809 generalization terms in 7,043 calls.
% 0.57/0.78 ; Retrieved 1,017 instance terms in 1,002 calls.
% 0.57/0.78 ; Retrieved 104,700 unifiable terms in 16,015 calls.
% 0.57/0.78 ;
% 0.57/0.78 ; The agenda of rows to process has 8 entries:
% 0.57/0.78 ; 2 with value 12 2 with value 14 2 with value 15
% 0.57/0.78 ; 2 with value 13
% 0.57/0.78 ; The agenda of rows to give has 811 entries:
% 0.57/0.78 ; 21 with value (4 13) 2 with value (4 20) 92 with value (4 27)
% 0.57/0.78 ; 9 with value (4 14) 58 with value (4 21) 132 with value (4 28)
% 0.57/0.78 ; 18 with value (4 15) 4 with value (4 22) 2 with value (4 30)
% 0.57/0.78 ; 60 with value (4 16) 2 with value (4 23) 2 with value (4 32)
% 0.57/0.78 ; 4 with value (4 17) 16 with value (4 25) 34 with value (4 33)
% 0.57/0.78 ; 187 with value (4 19) 40 with value (4 26) 128 with value (4 34)
% 0.57/0.78 Evaluation took:
% 0.57/0.78 0.314 seconds of real time
% 0.57/0.78 0.29167 seconds of user run time
% 0.57/0.78 0.021807 seconds of system run time
% 0.57/0.78 [Run times include 0.013 seconds GC run time.]
% 0.57/0.78 0 calls to %EVAL
% 0.57/0.78 0 page faults and
% 0.57/0.78 24,576,008 bytes consed.
% 0.57/0.78 :PROOF-FOUND
% 0.57/0.78 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T18:30:46
% 0.57/0.78 :PROOF-FOUND
% 0.57/0.78 *
%------------------------------------------------------------------------------