TSTP Solution File: SEU350+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU350+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 14:21:32 EDT 2022
% Result : Theorem 37.99s 38.21s
% Output : Refutation 37.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of clauses : 20 ( 10 unt; 7 nHn; 20 RR)
% Number of literals : 47 ( 4 equ; 24 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(11,axiom,
( empty_carrier(X)
| ~ lattice(X)
| ~ latt_str(X)
| ~ element(Y,the_carrier(X))
| cast_to_el_of_LattPOSet(X,Y) = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_lattice3) ).
cnf(12,axiom,
( empty_carrier(X)
| ~ lattice(X)
| ~ latt_str(X)
| ~ element(Y,the_carrier(poset_of_lattice(X)))
| cast_to_el_of_lattice(X,Y) = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_lattice3) ).
cnf(26,axiom,
( empty_carrier(X)
| ~ lattice(X)
| ~ latt_str(X)
| ~ element(Y,the_carrier(poset_of_lattice(X)))
| element(cast_to_el_of_lattice(X,Y),the_carrier(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_lattice3) ).
cnf(81,axiom,
( empty_carrier(X)
| ~ lattice(X)
| ~ latt_str(X)
| ~ element(Y,the_carrier(X))
| ~ latt_element_smaller(X,Y,Z)
| relstr_set_smaller(poset_of_lattice(X),Z,cast_to_el_of_LattPOSet(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_lattice3) ).
cnf(82,axiom,
( empty_carrier(X)
| ~ lattice(X)
| ~ latt_str(X)
| ~ element(Y,the_carrier(X))
| latt_element_smaller(X,Y,Z)
| ~ relstr_set_smaller(poset_of_lattice(X),Z,cast_to_el_of_LattPOSet(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_lattice3) ).
cnf(83,negated_conjecture,
~ empty_carrier('SKOLEMAAAV18'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_lattice3) ).
cnf(84,negated_conjecture,
lattice('SKOLEMAAAV18'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_lattice3) ).
cnf(85,negated_conjecture,
latt_str('SKOLEMAAAV18'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_lattice3) ).
cnf(86,negated_conjecture,
element('SKOLEMAAAV19',the_carrier(poset_of_lattice('SKOLEMAAAV18'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_lattice3) ).
cnf(87,negated_conjecture,
( ~ relstr_set_smaller(poset_of_lattice('SKOLEMAAAV18'),'SKOLEMAAAV17','SKOLEMAAAV19')
| ~ latt_element_smaller('SKOLEMAAAV18',cast_to_el_of_lattice('SKOLEMAAAV18','SKOLEMAAAV19'),'SKOLEMAAAV17') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_lattice3) ).
cnf(88,negated_conjecture,
( relstr_set_smaller(poset_of_lattice('SKOLEMAAAV18'),'SKOLEMAAAV17','SKOLEMAAAV19')
| latt_element_smaller('SKOLEMAAAV18',cast_to_el_of_lattice('SKOLEMAAAV18','SKOLEMAAAV19'),'SKOLEMAAAV17') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_lattice3) ).
cnf(168,plain,
cast_to_el_of_lattice('SKOLEMAAAV18','SKOLEMAAAV19') = 'SKOLEMAAAV19',
inference('UR-RESOLVE',[status(thm)],[12,83,84,85,86]) ).
cnf(169,plain,
( ~ relstr_set_smaller(poset_of_lattice('SKOLEMAAAV18'),'SKOLEMAAAV17','SKOLEMAAAV19')
| ~ latt_element_smaller('SKOLEMAAAV18','SKOLEMAAAV19','SKOLEMAAAV17') ),
inference('REWRITE',[status(thm)],[87,168,theory(equality)]) ).
cnf(170,plain,
( relstr_set_smaller(poset_of_lattice('SKOLEMAAAV18'),'SKOLEMAAAV17','SKOLEMAAAV19')
| latt_element_smaller('SKOLEMAAAV18','SKOLEMAAAV19','SKOLEMAAAV17') ),
inference('REWRITE',[status(thm)],[88,168,theory(equality)]) ).
cnf(173,plain,
element('SKOLEMAAAV19',the_carrier('SKOLEMAAAV18')),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[26,83,84,85,86]),168,theory(equality)]) ).
cnf(247,plain,
cast_to_el_of_LattPOSet('SKOLEMAAAV18','SKOLEMAAAV19') = 'SKOLEMAAAV19',
inference('UR-RESOLVE',[status(thm)],[11,173,83,84,85]) ).
cnf(546,plain,
( latt_element_smaller('SKOLEMAAAV18','SKOLEMAAAV19',X)
| ~ relstr_set_smaller(poset_of_lattice('SKOLEMAAAV18'),X,'SKOLEMAAAV19') ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[82,247,theory(equality)]),173,85,84,83]) ).
cnf(105560,plain,
latt_element_smaller('SKOLEMAAAV18','SKOLEMAAAV19','SKOLEMAAAV17'),
inference('HYPERRESOLVE',[status(thm)],[546,170]) ).
cnf(105561,plain,
~ relstr_set_smaller(poset_of_lattice('SKOLEMAAAV18'),'SKOLEMAAAV17','SKOLEMAAAV19'),
inference('REWRITE',[status(thm)],[169,105560]) ).
cnf(105562,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[81,105560,83,84,85,173]),105561,247,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SEU350+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.15 % Command : run-snark %s %d
% 0.15/0.37 % Computer : n011.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Sun Jun 19 11:51:23 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.22/0.50 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.51 *
% 0.22/0.51 *
% 0.22/0.52 #<PACKAGE "SNARK-USER">
% 0.22/0.52 *
% 0.22/0.52 SNARK-TPTP-OPTIONS
% 0.22/0.52 *
% 0.22/0.52 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.52 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.52 (USE-FACTORING :POS)
% 0.22/0.52 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.52 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.52 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.52 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.52 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.52 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.52 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.52 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.52 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.52 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.52 *
% 0.22/0.52 "."
% 0.22/0.52 *
% 0.22/0.52 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T11:51:24
% 0.22/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-19T11:51:24
% 0.38/0.55 WARNING:
% 0.38/0.55 |relation| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 37.99/38.21
% 37.99/38.21
% 37.99/38.21 #||
% 37.99/38.21 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 37.99/38.21 % SZS output start Refutation
% See solution above
% 37.99/38.21 ||#
% 37.99/38.21
% 37.99/38.21 ; Summary of computation:
% 37.99/38.21 ; 107141 formulas have been input or derived (from 730 formulas).
% 37.99/38.21 ; 105562 (99%) were retained. Of these,
% 37.99/38.21 ; 30 ( 0%) were simplified or subsumed later,
% 37.99/38.21 ; 105532 (100%) are still being kept.
% 37.99/38.21 ;
% 37.99/38.21 ; Run time in seconds excluding printing time:
% 37.99/38.21 ; 0.014 0% Read assertion file (1 call)
% 37.99/38.21 ; 0.003 0% Assert (65 calls)
% 37.99/38.21 ; 12.398 33% Process new row (106,789 calls)
% 37.99/38.21 ; 15.587 41% Resolution (1,458 calls)
% 37.99/38.21 ; 0.081 0% Paramodulation (729 calls)
% 37.99/38.21 ; 0.001 0% Factoring (19 calls)
% 37.99/38.21 ; 0.001 0% Condensing (134 calls)
% 37.99/38.21 ; 0.001 0% Forward subsumption (134 calls)
% 37.99/38.21 ; 0.003 0% Backward subsumption (119 calls)
% 37.99/38.21 ; 0.000 0% Clause clause subsumption (25 calls)
% 37.99/38.21 ; 1.528 4% Forward simplification (106,751 calls)
% 37.99/38.21 ; 7.636 20% Backward simplification (105,562 calls)
% 37.99/38.21 ; 0.000 0% Ordering (151 calls)
% 37.99/38.21 ; 0.000 0% Sortal reasoning (32 calls)
% 37.99/38.21 ; 0.001 0% Purity testing (1 call)
% 37.99/38.21 ; 0.432 1% Other
% 37.99/38.21 ; 37.686 Total
% 37.99/38.21 ; 37.692 Real time
% 37.99/38.22 ;
% 37.99/38.22 ; Term-hash-array has 210,642 terms in all.
% 37.99/38.22 ; Feature-vector-row-index has 108 entries (110 at peak, 119 added, 11 deleted).
% 37.99/38.22 ; Feature-vector-row-index has 406 nodes (427 at peak, 486 added, 80 deleted).
% 37.99/38.22 ; Retrieved 75 possibly forward subsuming rows in 134 calls.
% 37.99/38.22 ; Retrieved 28 possibly backward subsumed rows in 119 calls.
% 37.99/38.22 ; Path-index has 210,615 entries (210,615 at peak, 210,662 added, 47 deleted).
% 37.99/38.22 ; Path-index has 8,546 nodes (8,546 at peak, 8,595 added, 49 deleted).
% 37.99/38.22 ; Trie-index has 210,615 entries (210,615 at peak, 210,662 added, 47 deleted).
% 37.99/38.22 ; Trie-index has 446,908 nodes (446,908 at peak, 447,017 added, 109 deleted).
% 37.99/38.22 ; Retrieved 2,587 generalization terms in 109,395 calls.
% 37.99/38.22 ; Retrieved 105,475 instance terms in 105,442 calls.
% 37.99/38.22 ; Retrieved 22,093,351 unifiable terms in 116,512 calls.
% 37.99/38.22 ;
% 37.99/38.22 ; The agenda of rows to process has 1 entry:
% 37.99/38.22 ; 1 with value 17
% 37.99/38.22 ; The agenda of rows to give has 104812 entries:
% 37.99/38.22 ; 308 with value (4 15) 19722 with value (4 22) 46 with value (4 29)
% 37.99/38.22 ; 695 with value (4 16) 27587 with value (4 23) 38 with value (4 30)
% 37.99/38.22 ; 1409 with value (4 17) 19383 with value (4 24) 155 with value (4 31)
% 37.99/38.22 ; 2611 with value (4 18) 6620 with value (4 25) 35 with value (4 32)
% 37.99/38.22 ; 4869 with value (4 19) 966 with value (4 26) 43 with value (4 33)
% 37.99/38.22 ; 7495 with value (4 20) 78 with value (4 27) 58 with value (4 34)
% 37.99/38.22 ; 12595 with value (4 21) 83 with value (4 28) 16 with value (4 36)
% 37.99/38.22 Evaluation took:
% 37.99/38.22 37.698 seconds of real time
% 37.99/38.22 36.350704 seconds of user run time
% 37.99/38.22 1.34375 seconds of system run time
% 37.99/38.22 [Run times include 7.171 seconds GC run time.]
% 37.99/38.22 0 calls to %EVAL
% 37.99/38.22 0 page faults and
% 37.99/38.22 1,251,249,912 bytes consed.
% 37.99/38.22 :PROOF-FOUND
% 37.99/38.22 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T11:52:01
% 37.99/38.22 :PROOF-FOUND
% 37.99/38.22 *
%------------------------------------------------------------------------------