TSTP Solution File: SEU042+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU042+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 14:18:52 EDT 2022
% Result : Theorem 32.54s 32.75s
% Output : Refutation 32.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 14
% Syntax : Number of clauses : 27 ( 17 unt; 3 nHn; 22 RR)
% Number of literals : 61 ( 15 equ; 33 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 25 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( X != set_intersection2(Y,Z)
| ~ in(U,X)
| in(U,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(10,axiom,
( ~ relation(X)
| ~ function(X)
| ~ one_to_one(X)
| ~ in(Y,relation_dom(X))
| ~ in(Z,relation_dom(X))
| apply(X,Y) != apply(X,Z)
| Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_funct_1) ).
cnf(11,axiom,
( ~ relation(X)
| ~ function(X)
| one_to_one(X)
| in('SKOLEMAAAU2'(X),relation_dom(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_funct_1) ).
cnf(12,axiom,
( ~ relation(X)
| ~ function(X)
| one_to_one(X)
| in('SKOLEMAAAU3'(X),relation_dom(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_funct_1) ).
cnf(13,axiom,
( ~ relation(X)
| ~ function(X)
| one_to_one(X)
| apply(X,'SKOLEMAAAU2'(X)) = apply(X,'SKOLEMAAAU3'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_funct_1) ).
cnf(14,axiom,
( ~ relation(X)
| ~ function(X)
| one_to_one(X)
| 'SKOLEMAAAU2'(X) != 'SKOLEMAAAU3'(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_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(56,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(57,axiom,
( ~ relation(X)
| ~ function(X)
| ~ relation(Y)
| ~ function(Y)
| X != relation_dom_restriction(Y,Z)
| ~ in(U,relation_dom(X))
| apply(X,U) = apply(Y,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t68_funct_1) ).
cnf(62,negated_conjecture,
relation('SKOLEMAAAU17'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t84_funct_1) ).
cnf(63,negated_conjecture,
function('SKOLEMAAAU17'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t84_funct_1) ).
cnf(64,negated_conjecture,
one_to_one('SKOLEMAAAU17'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t84_funct_1) ).
cnf(65,negated_conjecture,
~ one_to_one(relation_dom_restriction('SKOLEMAAAU17','SKOLEMAAAU16')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t84_funct_1) ).
cnf(84,plain,
relation(relation_dom_restriction('SKOLEMAAAU17',X)),
inference('HYPERRESOLVE',[status(thm)],[15,62]) ).
cnf(116,plain,
function(relation_dom_restriction('SKOLEMAAAU17',X)),
inference('HYPERRESOLVE',[status(thm)],[23,62,63]) ).
cnf(416,plain,
relation_dom(relation_dom_restriction('SKOLEMAAAU17',X)) = set_intersection2(relation_dom('SKOLEMAAAU17'),X),
inference('HYPERRESOLVE',[status(thm)],[56,116,84,62,63,theory(equality)]) ).
cnf(417,plain,
'SKOLEMAAAU2'(relation_dom_restriction('SKOLEMAAAU17','SKOLEMAAAU16')) != 'SKOLEMAAAU3'(relation_dom_restriction('SKOLEMAAAU17','SKOLEMAAAU16')),
inference('UR-RESOLVE',[status(thm)],[14,116,84,65]) ).
cnf(418,plain,
in('SKOLEMAAAU3'(relation_dom_restriction('SKOLEMAAAU17','SKOLEMAAAU16')),relation_dom(relation_dom_restriction('SKOLEMAAAU17','SKOLEMAAAU16'))),
inference('UR-RESOLVE',[status(thm)],[12,116,84,65]) ).
cnf(419,plain,
in('SKOLEMAAAU2'(relation_dom_restriction('SKOLEMAAAU17','SKOLEMAAAU16')),relation_dom(relation_dom_restriction('SKOLEMAAAU17','SKOLEMAAAU16'))),
inference('UR-RESOLVE',[status(thm)],[11,116,84,65]) ).
cnf(423,plain,
apply(relation_dom_restriction('SKOLEMAAAU17','SKOLEMAAAU16'),'SKOLEMAAAU2'(relation_dom_restriction('SKOLEMAAAU17','SKOLEMAAAU16'))) = apply(relation_dom_restriction('SKOLEMAAAU17','SKOLEMAAAU16'),'SKOLEMAAAU3'(relation_dom_restriction('SKOLEMAAAU17','SKOLEMAAAU16'))),
inference('UR-RESOLVE',[status(thm)],[13,116,84,65]) ).
cnf(26148,plain,
in('SKOLEMAAAU3'(relation_dom_restriction('SKOLEMAAAU17','SKOLEMAAAU16')),relation_dom('SKOLEMAAAU17')),
inference('HYPERRESOLVE',[status(thm)],[5,418,416]) ).
cnf(26153,plain,
apply(relation_dom_restriction('SKOLEMAAAU17','SKOLEMAAAU16'),'SKOLEMAAAU2'(relation_dom_restriction('SKOLEMAAAU17','SKOLEMAAAU16'))) = apply('SKOLEMAAAU17','SKOLEMAAAU3'(relation_dom_restriction('SKOLEMAAAU17','SKOLEMAAAU16'))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[57,418,84,116,62,63,theory(equality)]),423,theory(equality)]) ).
cnf(26319,plain,
in('SKOLEMAAAU2'(relation_dom_restriction('SKOLEMAAAU17','SKOLEMAAAU16')),relation_dom('SKOLEMAAAU17')),
inference('HYPERRESOLVE',[status(thm)],[5,419,416]) ).
cnf(26323,plain,
apply(relation_dom_restriction('SKOLEMAAAU17','SKOLEMAAAU16'),'SKOLEMAAAU2'(relation_dom_restriction('SKOLEMAAAU17','SKOLEMAAAU16'))) = apply('SKOLEMAAAU17','SKOLEMAAAU2'(relation_dom_restriction('SKOLEMAAAU17','SKOLEMAAAU16'))),
inference('HYPERRESOLVE',[status(thm)],[57,419,84,116,62,63,theory(equality)]) ).
cnf(26325,plain,
apply('SKOLEMAAAU17','SKOLEMAAAU2'(relation_dom_restriction('SKOLEMAAAU17','SKOLEMAAAU16'))) = apply('SKOLEMAAAU17','SKOLEMAAAU3'(relation_dom_restriction('SKOLEMAAAU17','SKOLEMAAAU16'))),
inference('REWRITE',[status(thm)],[26153,26323,theory(equality)]) ).
cnf(26336,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[10,26319,62,63,64,26148,417]),26325,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU042+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 20 03:57:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T03:57:30
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-06-20T03:57:30
% 0.20/0.49
% 0.20/0.49 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 32.54/32.75 ; Declaring set_intersection2 to be commutative.
% 32.54/32.75
% 32.54/32.75 #||
% 32.54/32.75 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 32.54/32.75 % SZS output start Refutation
% See solution above
% 32.54/32.75 ||#
% 32.54/32.75
% 32.54/32.75 ; Summary of computation:
% 32.54/32.75 ; 131489 formulas have been input or derived (from 549 formulas).
% 32.54/32.75 ; 26336 (20%) were retained. Of these,
% 32.54/32.75 ; 870 ( 3%) were simplified or subsumed later,
% 32.54/32.75 ; 25466 (97%) are still being kept.
% 32.54/32.75 ;
% 32.54/32.75 ; Run time in seconds excluding printing time:
% 32.54/32.75 ; 0.008 0% Read assertion file (1 call)
% 32.54/32.75 ; 0.003 0% Assert (41 calls)
% 32.54/32.75 ; 2.477 8% Process new row (130,071 calls)
% 32.54/32.75 ; 19.228 60% Resolution (1,096 calls)
% 32.54/32.75 ; 0.041 0% Paramodulation (548 calls)
% 32.54/32.75 ; 0.000 0% Factoring (12 calls)
% 32.54/32.75 ; 0.016 0% Condensing (860 calls)
% 32.54/32.75 ; 0.023 0% Forward subsumption (860 calls)
% 32.54/32.75 ; 0.007 0% Backward subsumption (281 calls)
% 32.54/32.75 ; 0.006 0% Clause clause subsumption (1,824 calls)
% 32.54/32.75 ; 2.071 6% Forward simplification (129,981 calls)
% 32.54/32.75 ; 7.976 25% Backward simplification (26,336 calls)
% 32.54/32.75 ; 0.008 0% Ordering (5,737 calls)
% 32.54/32.75 ; 0.000 0% Sortal reasoning (32 calls)
% 32.54/32.75 ; 0.000 0% Purity testing (1 call)
% 32.54/32.75 ; 0.403 1% Other
% 32.54/32.75 ; 32.267 Total
% 32.54/32.75 ; 32.273 Real time
% 32.54/32.75 ;
% 32.54/32.75 ; Term-hash-array has 52,662 terms in all.
% 32.54/32.75 ; Feature-vector-row-index has 259 entries (259 at peak, 281 added, 22 deleted).
% 32.54/32.75 ; Feature-vector-row-index has 1,377 nodes (1,387 at peak, 1,543 added, 166 deleted).
% 32.54/32.75 ; Retrieved 3,001 possibly forward subsuming rows in 860 calls.
% 32.54/32.75 ; Retrieved 215 possibly backward subsumed rows in 281 calls.
% 32.54/32.75 ; Path-index has 50,939 entries (50,939 at peak, 52,713 added, 1,774 deleted).
% 32.54/32.75 ; Path-index has 3,194 nodes (3,194 at peak, 3,324 added, 130 deleted).
% 32.54/32.75 ; Trie-index has 50,939 entries (50,939 at peak, 52,713 added, 1,774 deleted).
% 32.54/32.75 ; Trie-index has 91,816 nodes (91,816 at peak, 95,097 added, 3,281 deleted).
% 32.54/32.75 ; Retrieved 228,002 generalization terms in 292,166 calls.
% 32.54/32.75 ; Retrieved 2,219,098 instance terms in 26,054 calls.
% 32.54/32.75 ; Retrieved 34,805,920 unifiable terms in 597,944 calls.
% 32.54/32.75 ;
% 32.54/32.75 ; The agenda of rows to process has 13 entries:
% 32.54/32.75 ; 1 with value 21 1 with value 23 1 with value 29
% 32.54/32.75 ; 8 with value 22 1 with value 24 1 with value 32
% 32.54/32.75 ; The agenda of rows to give has 24942 entries:
% 32.54/32.75 ; 2 with value (4 13) 7 with value (4 26) 6 with value (4 39)
% 32.54/32.75 ; 80 with value (4 14) 6 with value (4 27) 4 with value (4 40)
% 32.54/32.75 ; 624 with value (4 15) 1 with value (4 28) 4 with value (4 41)
% 32.54/32.75 ; 82 with value (4 16) 10 with value (4 29) 7 with value (4 42)
% 32.54/32.75 ; 2090 with value (4 17) 4 with value (4 30) 8 with value (4 43)
% 32.54/32.75 ; 64 with value (4 18) 6 with value (4 31) 5 with value (4 44)
% 32.54/32.75 ; 5766 with value (4 19) 7 with value (4 32) 5 with value (4 45)
% 32.54/32.75 ; 55 with value (4 20) 7 with value (4 33) 7 with value (4 50)
% 32.54/32.75 ; 9922 with value (4 21) 8 with value (4 34) 6 with value (4 52)
% 32.54/32.75 ; 9 with value (4 22) 8 with value (4 35) 6 with value (4 53)
% 32.54/32.75 ; 6072 with value (4 23) 4 with value (4 36) 3 with value (4 55)
% 32.54/32.75 ; 15 with value (4 24) 9 with value (4 37) 6 with value (4 68)
% 32.54/32.75 ; 3 with value (4 25) 8 with value (4 38) 6 with value (4 69)
% 32.54/32.75 Evaluation took:
% 32.54/32.75 32.275 seconds of real time
% 32.54/32.75 31.45709 seconds of user run time
% 32.54/32.75 0.81399 seconds of system run time
% 32.54/32.75 [Run times include 1.88 seconds GC run time.]
% 32.54/32.75 0 calls to %EVAL
% 32.54/32.75 0 page faults and
% 32.54/32.75 1,226,779,776 bytes consed.
% 32.54/32.75 :PROOF-FOUND
% 32.54/32.75 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T03:58:02
% 32.54/32.75 :PROOF-FOUND
% 32.54/32.75 *
%------------------------------------------------------------------------------