TSTP Solution File: SEU039+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU039+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 14:18:51 EDT 2022
% Result : Theorem 0.75s 0.91s
% Output : Refutation 0.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of clauses : 18 ( 12 unt; 0 nHn; 13 RR)
% Number of literals : 37 ( 8 equ; 20 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( X != set_intersection2(Y,Z)
| in(U,X)
| ~ in(U,Y)
| ~ in(U,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(11,axiom,
( ~ relation(X)
| ~ function(X)
| Y != relation_rng(X)
| in(Z,Y)
| ~ in(U,relation_dom(X))
| Z != apply(X,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_funct_1) ).
cnf(15,axiom,
( ~ relation(X)
| relation(relation_dom_restriction(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_relat_1) ).
cnf(23,axiom,
( ~ relation(X)
| ~ function(X)
| function(relation_dom_restriction(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_funct_1) ).
cnf(58,axiom,
( ~ relation(X)
| ~ function(X)
| ~ relation(Y)
| ~ function(Y)
| X != relation_dom_restriction(Y,Z)
| relation_dom(X) = set_intersection2(relation_dom(Y),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t68_funct_1) ).
cnf(63,axiom,
( ~ relation(X)
| ~ function(X)
| ~ in(Y,Z)
| apply(relation_dom_restriction(X,Z),Y) = apply(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t72_funct_1) ).
cnf(64,negated_conjecture,
relation('SKOLEMAAAV19'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t73_funct_1) ).
cnf(65,negated_conjecture,
function('SKOLEMAAAV19'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t73_funct_1) ).
cnf(66,negated_conjecture,
in('SKOLEMAAAV18',relation_dom('SKOLEMAAAV19')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t73_funct_1) ).
cnf(67,negated_conjecture,
in('SKOLEMAAAV18','SKOLEMAAAV17'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t73_funct_1) ).
cnf(68,negated_conjecture,
~ in(apply('SKOLEMAAAV19','SKOLEMAAAV18'),relation_rng(relation_dom_restriction('SKOLEMAAAV19','SKOLEMAAAV17'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t73_funct_1) ).
cnf(96,plain,
relation(relation_dom_restriction('SKOLEMAAAV19',X)),
inference('HYPERRESOLVE',[status(thm)],[15,64]) ).
cnf(129,plain,
function(relation_dom_restriction('SKOLEMAAAV19',X)),
inference('HYPERRESOLVE',[status(thm)],[23,64,65]) ).
cnf(139,plain,
in('SKOLEMAAAV18',set_intersection2('SKOLEMAAAV17',relation_dom('SKOLEMAAAV19'))),
inference('HYPERRESOLVE',[status(thm)],[5,67,66,theory(equality)]) ).
cnf(140,plain,
apply(relation_dom_restriction('SKOLEMAAAV19','SKOLEMAAAV17'),'SKOLEMAAAV18') = apply('SKOLEMAAAV19','SKOLEMAAAV18'),
inference('HYPERRESOLVE',[status(thm)],[63,64,65,67]) ).
cnf(550,plain,
relation_dom(relation_dom_restriction('SKOLEMAAAV19',X)) = set_intersection2(relation_dom('SKOLEMAAAV19'),X),
inference('HYPERRESOLVE',[status(thm)],[58,129,96,64,65,theory(equality)]) ).
cnf(553,plain,
in('SKOLEMAAAV18',relation_dom(relation_dom_restriction('SKOLEMAAAV19','SKOLEMAAAV17'))),
inference('REWRITE',[status(thm)],[139,550,theory(equality)]) ).
cnf(964,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[11,553,96,129,68,theory(equality)]),140,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU039+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n005.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
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 20 13:18:23 EDT 2022
% 0.13/0.33 % 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 2022-06-20T13:18:23
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-20T13:18:23
% 0.20/0.48
% 0.20/0.49 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.20/0.49 WARNING:
% 0.20/0.49 |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.75/0.91 ; Declaring set_intersection2 to be commutative.
% 0.75/0.91
% 0.75/0.91 #||
% 0.75/0.91 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.75/0.91 % SZS output start Refutation
% See solution above
% 0.75/0.91 ||#
% 0.75/0.91
% 0.75/0.91 ; Summary of computation:
% 0.75/0.91 ; 3475 formulas have been input or derived (from 184 formulas).
% 0.75/0.91 ; 964 (28%) were retained. Of these,
% 0.75/0.91 ; 62 ( 6%) were simplified or subsumed later,
% 0.75/0.91 ; 902 (94%) are still being kept.
% 0.75/0.91 ;
% 0.75/0.91 ; Run time in seconds excluding printing time:
% 0.75/0.91 ; 0.009 2% Read assertion file (1 call)
% 0.75/0.91 ; 0.003 1% Assert (44 calls)
% 0.75/0.91 ; 0.071 16% Process new row (2,998 calls)
% 0.75/0.91 ; 0.192 43% Resolution (366 calls)
% 0.75/0.91 ; 0.001 0% Paramodulation (183 calls)
% 0.75/0.91 ; 0.000 0% Factoring (5 calls)
% 0.75/0.91 ; 0.013 3% Condensing (739 calls)
% 0.75/0.91 ; 0.028 6% Forward subsumption (739 calls)
% 0.75/0.91 ; 0.008 2% Backward subsumption (301 calls)
% 0.75/0.91 ; 0.017 4% Clause clause subsumption (1,902 calls)
% 0.75/0.91 ; 0.054 12% Forward simplification (2,895 calls)
% 0.75/0.91 ; 0.008 2% Backward simplification (964 calls)
% 0.75/0.91 ; 0.006 1% Ordering (1,980 calls)
% 0.75/0.91 ; 0.000 0% Sortal reasoning (32 calls)
% 0.75/0.91 ; 0.000 0% Purity testing (1 call)
% 0.75/0.91 ; 0.037 8% Other
% 0.75/0.91 ; 0.447 Total
% 0.75/0.91 ; 0.448 Real time
% 0.75/0.91 ;
% 0.75/0.91 ; Term-hash-array has 2,100 terms in all.
% 0.75/0.91 ; Feature-vector-row-index has 268 entries (268 at peak, 301 added, 33 deleted).
% 0.75/0.91 ; Feature-vector-row-index has 1,346 nodes (1,346 at peak, 1,495 added, 149 deleted).
% 0.75/0.91 ; Retrieved 3,157 possibly forward subsuming rows in 739 calls.
% 0.75/0.91 ; Retrieved 333 possibly backward subsumed rows in 301 calls.
% 0.75/0.91 ; Path-index has 2,015 entries (2,015 at peak, 2,147 added, 132 deleted).
% 0.75/0.91 ; Path-index has 2,104 nodes (2,104 at peak, 2,233 added, 129 deleted).
% 0.75/0.91 ; Trie-index has 2,015 entries (2,015 at peak, 2,147 added, 132 deleted).
% 0.75/0.91 ; Trie-index has 5,993 nodes (5,993 at peak, 6,355 added, 362 deleted).
% 0.75/0.91 ; Retrieved 4,164 generalization terms in 10,551 calls.
% 0.75/0.91 ; Retrieved 864 instance terms in 662 calls.
% 0.75/0.91 ; Retrieved 327,026 unifiable terms in 20,858 calls.
% 0.75/0.91 ;
% 0.75/0.91 ; The agenda of rows to process has 45 entries:
% 0.75/0.91 ; 7 with value 15 1 with value 21 2 with value 25
% 0.75/0.91 ; 5 with value 16 4 with value 22 1 with value 27
% 0.75/0.91 ; 5 with value 17 6 with value 23 1 with value 28
% 0.75/0.91 ; 9 with value 19 4 with value 24
% 0.75/0.91 ; The agenda of rows to give has 729 entries:
% 0.75/0.91 ; 21 with value (4 10) 14 with value (4 23) 3 with value (4 36)
% 0.75/0.91 ; 132 with value (4 11) 13 with value (4 24) 1 with value (4 37)
% 0.75/0.91 ; 30 with value (4 12) 4 with value (4 25) 6 with value (4 39)
% 0.75/0.91 ; 163 with value (4 13) 4 with value (4 26) 22 with value (4 40)
% 0.75/0.91 ; 27 with value (4 14) 5 with value (4 27) 4 with value (4 41)
% 0.75/0.91 ; 23 with value (4 15) 3 with value (4 28) 1 with value (4 43)
% 0.75/0.91 ; 32 with value (4 16) 6 with value (4 29) 12 with value (4 47)
% 0.75/0.91 ; 10 with value (4 17) 5 with value (4 30) 12 with value (4 48)
% 0.75/0.91 ; 12 with value (4 18) 6 with value (4 31) 6 with value (4 52)
% 0.75/0.91 ; 26 with value (4 19) 11 with value (4 32) 6 with value (4 53)
% 0.75/0.91 ; 15 with value (4 20) 18 with value (4 33) 6 with value (4 55)
% 0.75/0.91 ; 13 with value (4 21) 32 with value (4 34) 6 with value (4 56)
% 0.75/0.91 ; 10 with value (4 22) 9 with value (4 35)
% 0.75/0.91 Evaluation took:
% 0.75/0.91 0.449 seconds of real time
% 0.75/0.91 0.41773 seconds of user run time
% 0.75/0.91 0.031761 seconds of system run time
% 0.75/0.91 [Run times include 0.018 seconds GC run time.]
% 0.75/0.91 0 calls to %EVAL
% 0.75/0.91 0 page faults and
% 0.75/0.91 29,269,160 bytes consed.
% 0.75/0.91 :PROOF-FOUND
% 0.75/0.91 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T13:18:24
% 0.75/0.91 :PROOF-FOUND
% 0.75/0.91 *
%------------------------------------------------------------------------------