TSTP Solution File: SEU103+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU103+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 14:19:08 EDT 2022
% Result : Theorem 0.48s 0.66s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 20 ( 16 unt; 4 nHn; 19 RR)
% Number of literals : 36 ( 6 equ; 15 neg)
% Maximal clause size : 5 ( 1 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; 0-3 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(8,axiom,
symmetric_difference(X,Y) = set_union2(set_difference(X,Y),set_difference(Y,X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_xboole_0) ).
cnf(9,axiom,
( empty(X)
| ~ preboolean(X)
| ~ element(Y,X)
| ~ element(Z,X)
| element(prebool_union2(X,Y,Z),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_finsub_1) ).
cnf(10,axiom,
( empty(X)
| ~ preboolean(X)
| ~ element(Y,X)
| ~ element(Z,X)
| element(prebool_difference(X,Y,Z),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_finsub_1) ).
cnf(43,axiom,
( empty(X)
| ~ preboolean(X)
| ~ element(Y,X)
| ~ element(Z,X)
| prebool_union2(X,Y,Z) = set_union2(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_finsub_1) ).
cnf(44,axiom,
( empty(X)
| ~ preboolean(X)
| ~ element(Y,X)
| ~ element(Z,X)
| prebool_difference(X,Y,Z) = set_difference(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k2_finsub_1) ).
cnf(46,negated_conjecture,
~ empty('SKOLEMAAAV13'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_finsub_1) ).
cnf(47,negated_conjecture,
preboolean('SKOLEMAAAV13'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_finsub_1) ).
cnf(48,negated_conjecture,
element('SKOLEMAAAV11','SKOLEMAAAV13'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_finsub_1) ).
cnf(49,negated_conjecture,
element('SKOLEMAAAV12','SKOLEMAAAV13'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_finsub_1) ).
cnf(50,negated_conjecture,
~ element(symmetric_difference('SKOLEMAAAV11','SKOLEMAAAV12'),'SKOLEMAAAV13'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_finsub_1) ).
cnf(51,plain,
~ element(set_union2(set_difference('SKOLEMAAAV11','SKOLEMAAAV12'),set_difference('SKOLEMAAAV12','SKOLEMAAAV11')),'SKOLEMAAAV13'),
inference('REWRITE',[status(thm)],[50,8,theory(equality)]) ).
cnf(170,plain,
element(prebool_difference('SKOLEMAAAV13','SKOLEMAAAV11','SKOLEMAAAV12'),'SKOLEMAAAV13'),
inference('UR-RESOLVE',[status(thm)],[10,46,47,48,49]) ).
cnf(171,plain,
element(prebool_difference('SKOLEMAAAV13','SKOLEMAAAV12','SKOLEMAAAV11'),'SKOLEMAAAV13'),
inference('UR-RESOLVE',[status(thm)],[10,46,47,49,48]) ).
cnf(190,plain,
prebool_difference('SKOLEMAAAV13','SKOLEMAAAV11','SKOLEMAAAV12') = set_difference('SKOLEMAAAV11','SKOLEMAAAV12'),
inference('UR-RESOLVE',[status(thm)],[44,46,47,48,49]) ).
cnf(191,plain,
element(set_difference('SKOLEMAAAV11','SKOLEMAAAV12'),'SKOLEMAAAV13'),
inference('REWRITE',[status(thm)],[170,190,theory(equality)]) ).
cnf(192,plain,
prebool_difference('SKOLEMAAAV13','SKOLEMAAAV12','SKOLEMAAAV11') = set_difference('SKOLEMAAAV12','SKOLEMAAAV11'),
inference('UR-RESOLVE',[status(thm)],[44,46,47,49,48]) ).
cnf(193,plain,
element(set_difference('SKOLEMAAAV12','SKOLEMAAAV11'),'SKOLEMAAAV13'),
inference('REWRITE',[status(thm)],[171,192,theory(equality)]) ).
cnf(886,plain,
element(prebool_union2('SKOLEMAAAV13',set_difference('SKOLEMAAAV12','SKOLEMAAAV11'),set_difference('SKOLEMAAAV11','SKOLEMAAAV12')),'SKOLEMAAAV13'),
inference('UR-RESOLVE',[status(thm)],[9,193,46,47,191]) ).
cnf(928,plain,
prebool_union2('SKOLEMAAAV13',set_difference('SKOLEMAAAV12','SKOLEMAAAV11'),set_difference('SKOLEMAAAV11','SKOLEMAAAV12')) = set_union2(set_difference('SKOLEMAAAV11','SKOLEMAAAV12'),set_difference('SKOLEMAAAV12','SKOLEMAAAV11')),
inference('UR-RESOLVE',[status(thm)],[43,193,46,47,191]) ).
cnf(929,plain,
$false,
inference('REWRITE',[status(thm)],[886,51,928,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU103+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 08:37:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T08:37:15
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-19T08:37:15
% 0.19/0.49
% 0.19/0.49 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.19/0.49 ; Recognized commutativity assertion (= (|symmetric_difference| ?X ?Y) (|symmetric_difference| ?Y ?X)).
% 0.19/0.49 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.19/0.49 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.19/0.49 ; Recognized right identity assertion (= (|symmetric_difference| ?X |empty_set|) ?X).
% 0.19/0.49 ; Declaring set_union2 to be commutative.
% 0.19/0.49 WARNING:
% 0.19/0.49 |cap_closed| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49 WARNING:
% 0.19/0.49 |relation| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49 WARNING:
% 0.19/0.49 |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49 WARNING:
% 0.19/0.49 |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49 WARNING:
% 0.19/0.49 |epsilon_transitive| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49 WARNING:
% 0.19/0.49 |epsilon_connected| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49 WARNING:
% 0.19/0.49 |ordinal| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49 WARNING:
% 0.19/0.49 |natural| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 ; Declaring symmetric_difference to be commutative.
% 0.48/0.66
% 0.48/0.66 #||
% 0.48/0.66 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.66 % SZS output start Refutation
% See solution above
% 0.48/0.68 ||#
% 0.48/0.68
% 0.48/0.68 ; Summary of computation:
% 0.48/0.68 ; 2447 formulas have been input or derived (from 128 formulas).
% 0.48/0.68 ; 929 (38%) were retained. Of these,
% 0.48/0.68 ; 101 (11%) were simplified or subsumed later,
% 0.48/0.68 ; 828 (89%) are still being kept.
% 0.48/0.68 ;
% 0.48/0.68 ; Run time in seconds excluding printing time:
% 0.48/0.68 ; 0.009 5% Read assertion file (1 call)
% 0.48/0.68 ; 0.003 2% Assert (46 calls)
% 0.48/0.68 ; 0.057 29% Process new row (2,297 calls)
% 0.48/0.68 ; 0.046 23% Resolution (254 calls)
% 0.48/0.68 ; 0.001 1% Paramodulation (127 calls)
% 0.48/0.68 ; 0.000 0% Factoring (5 calls)
% 0.48/0.68 ; 0.000 0% Condensing (187 calls)
% 0.48/0.68 ; 0.004 2% Forward subsumption (187 calls)
% 0.48/0.68 ; 0.002 1% Backward subsumption (110 calls)
% 0.48/0.68 ; 0.001 1% Clause clause subsumption (105 calls)
% 0.48/0.68 ; 0.020 10% Forward simplification (2,286 calls)
% 0.48/0.68 ; 0.014 7% Backward simplification (926 calls)
% 0.48/0.68 ; 0.002 1% Ordering (339 calls)
% 0.48/0.68 ; 0.001 1% Sortal reasoning (32 calls)
% 0.48/0.68 ; 0.001 1% Purity testing (1 call)
% 0.48/0.68 ; 0.035 18% Other
% 0.48/0.68 ; 0.196 Total
% 0.48/0.68 ; 0.210 Real time
% 0.48/0.68 ;
% 0.48/0.68 ; Term-hash-array has 1,816 terms in all.
% 0.48/0.68 ; Feature-vector-row-index has 110 entries (110 at peak, 110 added, 0 deleted).
% 0.48/0.68 ; Feature-vector-row-index has 433 nodes (433 at peak, 433 added, 0 deleted).
% 0.48/0.68 ; Retrieved 127 possibly forward subsuming rows in 187 calls.
% 0.48/0.68 ; Retrieved 25 possibly backward subsumed rows in 110 calls.
% 0.48/0.68 ; Path-index has 1,726 entries (1,727 at peak, 1,824 added, 98 deleted).
% 0.48/0.68 ; Path-index has 1,499 nodes (1,516 at peak, 1,633 added, 134 deleted).
% 0.48/0.68 ; Trie-index has 1,726 entries (1,727 at peak, 1,824 added, 98 deleted).
% 0.48/0.68 ; Trie-index has 5,276 nodes (5,282 at peak, 5,665 added, 389 deleted).
% 0.48/0.68 ; Retrieved 2,863 generalization terms in 5,272 calls.
% 0.48/0.68 ; Retrieved 917 instance terms in 815 calls.
% 0.48/0.68 ; Retrieved 39,482 unifiable terms in 5,265 calls.
% 0.48/0.68 ;
% 0.48/0.68 ; The agenda of rows to process has 46 entries:
% 0.48/0.68 ; 9 with value 21 1 with value 23 8 with value 25
% 0.48/0.68 ; 12 with value 22 16 with value 24
% 0.48/0.68 ; The agenda of rows to give has 706 entries:
% 0.48/0.68 ; 22 with value (4 8) 67 with value (4 14) 9 with value (4 20)
% 0.48/0.68 ; 92 with value (4 9) 21 with value (4 15) 67 with value (4 21)
% 0.48/0.68 ; 61 with value (4 10) 23 with value (4 16) 1 with value (4 22)
% 0.48/0.68 ; 94 with value (4 11) 36 with value (4 17) 13 with value (4 23)
% 0.48/0.68 ; 83 with value (4 12) 40 with value (4 18) 6 with value (4 24)
% 0.48/0.68 ; 52 with value (4 13) 19 with value (4 19)
% 0.48/0.68 Evaluation took:
% 0.48/0.68 0.211 seconds of real time
% 0.48/0.68 0.191838 seconds of user run time
% 0.48/0.68 0.019135 seconds of system run time
% 0.48/0.68 [Run times include 0.012 seconds GC run time.]
% 0.48/0.68 0 calls to %EVAL
% 0.48/0.68 0 page faults and
% 0.48/0.68 14,142,624 bytes consed.
% 0.48/0.68 :PROOF-FOUND
% 0.48/0.68 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T08:37:15
% 0.48/0.68 :PROOF-FOUND
% 0.48/0.68 *
%------------------------------------------------------------------------------