TSTP Solution File: SEU131+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU131+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 14:19:21 EDT 2022
% Result : Theorem 7.61s 7.83s
% Output : Refutation 7.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 16
% Syntax : Number of clauses : 28 ( 11 unt; 9 nHn; 18 RR)
% Number of literals : 51 ( 12 equ; 21 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 46 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( X = empty_set
| in('SKOLEMAAAV1'(X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
cnf(11,axiom,
( ~ subset(X,Y)
| ~ in(Z,X)
| in(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(12,axiom,
( subset(X,Y)
| in('SKOLEMAAAV3'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(13,axiom,
( subset(X,Y)
| ~ in('SKOLEMAAAV3'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(19,axiom,
( X != set_difference(Y,Z)
| ~ in(U,X)
| in(U,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
cnf(20,axiom,
( X != set_difference(Y,Z)
| ~ in(U,X)
| ~ in(U,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
cnf(21,axiom,
( X != set_difference(Y,Z)
| in(U,X)
| ~ in(U,Y)
| in(U,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
cnf(27,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
cnf(31,negated_conjecture,
( set_difference('SKOLEMAAAV6','SKOLEMAAAV7') != empty_set
| ~ subset('SKOLEMAAAV6','SKOLEMAAAV7') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l32_xboole_1) ).
cnf(32,negated_conjecture,
( set_difference('SKOLEMAAAV6','SKOLEMAAAV7') = empty_set
| subset('SKOLEMAAAV6','SKOLEMAAAV7') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l32_xboole_1) ).
cnf(36,axiom,
( ~ subset(X,Y)
| set_union2(X,Y) = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_xboole_1) ).
cnf(48,axiom,
( disjoint(X,Y)
| in('SKOLEMAAAV11'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_0) ).
cnf(49,axiom,
( disjoint(X,Y)
| in('SKOLEMAAAV11'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_0) ).
cnf(50,axiom,
( ~ in(X,Y)
| ~ in(X,Z)
| ~ disjoint(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_0) ).
cnf(56,axiom,
( ~ in(X,Y)
| ~ empty(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
cnf(57,axiom,
subset(X,set_union2(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_xboole_1) ).
cnf(61,plain,
~ in(X,empty_set),
inference('UR-RESOLVE',[status(thm)],[56,27]) ).
cnf(68,plain,
( set_difference('SKOLEMAAAV6','SKOLEMAAAV7') = empty_set
| set_union2('SKOLEMAAAV6','SKOLEMAAAV7') = 'SKOLEMAAAV7' ),
inference('HYPERRESOLVE',[status(thm)],[36,32]) ).
cnf(80,plain,
( disjoint(X,Y)
| in('SKOLEMAAAV11'(X,Y),set_union2(X,Z)) ),
inference('HYPERRESOLVE',[status(thm)],[11,57,48]) ).
cnf(114,plain,
( set_difference(X,Y) = empty_set
| in('SKOLEMAAAV1'(set_difference(X,Y)),X) ),
inference('HYPERRESOLVE',[status(thm)],[19,5,theory(equality)]) ).
cnf(118,plain,
disjoint(set_difference(X,Y),Y),
inference('HYPERRESOLVE',[status(thm)],[20,48,49,theory(equality)]) ).
cnf(729,plain,
disjoint(X,set_difference(Y,set_union2(X,Z))),
inference('HYPERRESOLVE',[status(thm)],[50,80,49,118]) ).
cnf(5367,plain,
set_difference(X,set_union2(X,Y)) = empty_set,
inference('HYPERRESOLVE',[status(thm)],[50,114,5,729]) ).
cnf(5424,plain,
set_difference('SKOLEMAAAV6','SKOLEMAAAV7') = empty_set,
inference('PARAMODULATE',[status(thm)],[5367,68,theory(equality)]) ).
cnf(5425,plain,
~ subset('SKOLEMAAAV6','SKOLEMAAAV7'),
inference('REWRITE',[status(thm)],[31,5424,theory(equality)]) ).
cnf(5429,plain,
in('SKOLEMAAAV3'('SKOLEMAAAV6','SKOLEMAAAV7'),'SKOLEMAAAV6'),
inference('HYPERRESOLVE',[status(thm)],[5425,12]) ).
cnf(5430,plain,
~ in('SKOLEMAAAV3'('SKOLEMAAAV6','SKOLEMAAAV7'),'SKOLEMAAAV7'),
inference('UR-RESOLVE',[status(thm)],[13,5425]) ).
cnf(5499,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[21,5430,61,5429]),5424,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU131+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n012.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 01:06:38 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 *
% 0.20/0.47 #<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/sandbox2/benchmark/theBenchmark.p 2022-06-19T01:06:38
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-06-19T01:06:38
% 0.20/0.49
% 0.20/0.49 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.20/0.49 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.20/0.49 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.20/0.49 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.20/0.49 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.20/0.49 ; Declaring set_union2 to be commutative.
% 0.20/0.49 ; Declaring set_intersection2 to be commutative.
% 7.61/7.83 ; Declaring disjoint to be commutative.
% 7.61/7.83
% 7.61/7.83 #||
% 7.61/7.83 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.61/7.83 % SZS output start Refutation
% See solution above
% 7.61/7.83 ||#
% 7.61/7.83
% 7.61/7.83 ; Summary of computation:
% 7.61/7.83 ; 50628 formulas have been input or derived (from 201 formulas).
% 7.61/7.83 ; 5499 (11%) were retained. Of these,
% 7.61/7.83 ; 829 (15%) were simplified or subsumed later,
% 7.61/7.83 ; 4670 (85%) are still being kept.
% 7.61/7.83 ;
% 7.61/7.83 ; Run time in seconds excluding printing time:
% 7.61/7.83 ; 0.007 0% Read assertion file (1 call)
% 7.61/7.83 ; 0.003 0% Assert (44 calls)
% 7.61/7.83 ; 0.575 8% Process new row (43,891 calls)
% 7.61/7.83 ; 1.302 18% Resolution (400 calls)
% 7.61/7.83 ; 0.040 1% Paramodulation (200 calls)
% 7.61/7.83 ; 0.000 0% Factoring (72 calls)
% 7.61/7.83 ; 0.444 6% Condensing (25,765 calls)
% 7.61/7.83 ; 1.039 14% Forward subsumption (25,765 calls)
% 7.61/7.83 ; 0.453 6% Backward subsumption (4,212 calls)
% 7.61/7.83 ; 0.880 12% Clause clause subsumption (229,295 calls)
% 7.61/7.83 ; 2.117 29% Forward simplification (43,889 calls)
% 7.61/7.83 ; 0.193 3% Backward simplification (5,499 calls)
% 7.61/7.83 ; 0.135 2% Ordering (46,943 calls)
% 7.61/7.83 ; 0.001 0% Sortal reasoning (32 calls)
% 7.61/7.83 ; 0.001 0% Purity testing (1 call)
% 7.61/7.83 ; 0.166 2% Other
% 7.61/7.83 ; 7.356 Total
% 7.61/7.83 ; 7.358 Real time
% 7.61/7.83 ;
% 7.61/7.83 ; Term-hash-array has 9,075 terms in all.
% 7.61/7.83 ; Feature-vector-row-index has 3,514 entries (4,133 at peak, 4,212 added, 698 deleted).
% 7.61/7.83 ; Feature-vector-row-index has 5,264 nodes (7,906 at peak, 8,172 added, 2,908 deleted).
% 7.61/7.83 ; Retrieved 471,394 possibly forward subsuming rows in 25,765 calls.
% 7.61/7.83 ; Retrieved 61,985 possibly backward subsumed rows in 4,212 calls.
% 7.61/7.83 ; Path-index has 7,704 entries (8,636 at peak, 9,141 added, 1,437 deleted).
% 7.61/7.83 ; Path-index has 2,154 nodes (2,406 at peak, 2,583 added, 429 deleted).
% 7.61/7.83 ; Trie-index has 7,704 entries (8,636 at peak, 9,141 added, 1,437 deleted).
% 7.61/7.83 ; Trie-index has 21,319 nodes (24,087 at peak, 25,936 added, 4,617 deleted).
% 7.61/7.83 ; Retrieved 294,767 generalization terms in 220,621 calls.
% 7.61/7.83 ; Retrieved 17,260 instance terms in 1,287 calls.
% 7.61/7.83 ; Retrieved 1,810,984 unifiable terms in 15,737 calls.
% 7.61/7.83 ;
% 7.61/7.83 ; The agenda of rows to process has 137 entries:
% 7.61/7.83 ; 5 with value 9 4 with value 15 16 with value 19
% 7.61/7.83 ; 5 with value 10 15 with value 16 7 with value 20
% 7.61/7.83 ; 17 with value 11 10 with value 17 14 with value 23
% 7.61/7.83 ; 27 with value 14 3 with value 18 14 with value 24
% 7.61/7.83 ; The agenda of rows to give has 4480 entries:
% 7.61/7.83 ; 1 with value (4 6) 189 with value (4 28) 15 with value (4 49)
% 7.61/7.83 ; 2 with value (4 8) 288 with value (4 29) 10 with value (4 50)
% 7.61/7.83 ; 9 with value (4 9) 242 with value (4 30) 16 with value (4 51)
% 7.61/7.83 ; 6 with value (4 10) 265 with value (4 31) 25 with value (4 52)
% 7.61/7.83 ; 11 with value (4 11) 195 with value (4 32) 11 with value (4 53)
% 7.61/7.83 ; 9 with value (4 12) 170 with value (4 33) 6 with value (4 54)
% 7.61/7.83 ; 4 with value (4 13) 179 with value (4 34) 2 with value (4 55)
% 7.61/7.83 ; 9 with value (4 14) 117 with value (4 35) 1 with value (4 56)
% 7.61/7.83 ; 2 with value (4 15) 106 with value (4 36) 2 with value (4 57)
% 7.61/7.83 ; 5 with value (4 16) 86 with value (4 37) 1 with value (4 58)
% 7.61/7.83 ; 30 with value (4 17) 50 with value (4 38) 4 with value (4 59)
% 7.61/7.83 ; 48 with value (4 18) 52 with value (4 39) 4 with value (4 60)
% 7.61/7.83 ; 105 with value (4 19) 61 with value (4 40) 7 with value (4 61)
% 7.61/7.83 ; 121 with value (4 20) 55 with value (4 41) 14 with value (4 62)
% 7.61/7.83 ; 132 with value (4 21) 66 with value (4 42) 1 with value (4 64)
% 7.61/7.83 ; 238 with value (4 22) 39 with value (4 43) 2 with value (4 65)
% 7.61/7.83 ; 155 with value (4 23) 22 with value (4 44) 3 with value (4 67)
% 7.61/7.83 ; 291 with value (4 24) 23 with value (4 45) 6 with value (4 68)
% 7.61/7.83 ; 231 with value (4 25) 13 with value (4 46) 1 with value (4 69)
% 7.61/7.83 ; 309 with value (4 26) 29 with value (4 47) 3 with value (4 70)
% 7.61/7.83 ; 332 with value (4 27) 47 with value (4 48) 2 with value (4 71)
% 7.61/7.83 Evaluation took:
% 7.61/7.83 7.36 seconds of real time
% 7.61/7.83 6.754843 seconds of user run time
% 7.61/7.83 0.605214 seconds of system run time
% 7.61/7.83 [Run times include 0.566 seconds GC run time.]
% 7.61/7.83 0 calls to %EVAL
% 7.61/7.83 0 page faults and
% 7.61/7.83 702,731,984 bytes consed.
% 7.61/7.83 :PROOF-FOUND
% 7.61/7.83 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T01:06:45
% 7.61/7.83 :PROOF-FOUND
% 7.61/7.83 *
%------------------------------------------------------------------------------