%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU145+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 14:19:28 EDT 2022
% Result : Theorem 11.20s 11.46s
% Output : Refutation 11.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 15
% Syntax : Number of clauses : 25 ( 14 unt; 3 nHn; 18 RR)
% Number of literals : 41 ( 5 equ; 20 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 35 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( X != Y
| subset(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
cnf(30,axiom,
( X != set_difference(Y,Z)
| ~ in(U,X)
| ~ in(U,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
cnf(31,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(46,axiom,
( ~ subset(singleton(X),Y)
| in(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_zfmisc_1) ).
cnf(47,axiom,
( subset(singleton(X),Y)
| ~ in(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_zfmisc_1) ).
cnf(50,negated_conjecture,
subset('SKOLEMAAAV8','SKOLEMAAAV9'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_zfmisc_1) ).
cnf(51,negated_conjecture,
~ in('SKOLEMAAAV10','SKOLEMAAAV8'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_zfmisc_1) ).
cnf(52,negated_conjecture,
~ subset('SKOLEMAAAV8',set_difference('SKOLEMAAAV9',singleton('SKOLEMAAAV10'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_zfmisc_1) ).
cnf(55,axiom,
subset(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
cnf(60,axiom,
( ~ subset(X,Y)
| ~ subset(Y,Z)
| subset(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
cnf(67,axiom,
( ~ subset(X,Y)
| subset(set_difference(X,Z),set_difference(Y,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_xboole_1) ).
cnf(71,axiom,
( disjoint(X,Y)
| in('SKOLEMAAAV14'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_0) ).
cnf(72,axiom,
( disjoint(X,Y)
| in('SKOLEMAAAV14'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_0) ).
cnf(84,axiom,
( ~ subset(X,Y)
| ~ disjoint(Y,Z)
| disjoint(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_xboole_1) ).
cnf(89,axiom,
( ~ disjoint(X,Y)
| set_difference(X,Y) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t83_xboole_1) ).
cnf(116,plain,
in(X,singleton(X)),
inference('HYPERRESOLVE',[status(thm)],[46,55]) ).
cnf(183,plain,
subset(set_difference('SKOLEMAAAV8',X),set_difference('SKOLEMAAAV9',X)),
inference('HYPERRESOLVE',[status(thm)],[67,50]) ).
cnf(205,plain,
disjoint(set_difference(X,Y),Y),
inference('HYPERRESOLVE',[status(thm)],[30,71,72,theory(equality)]) ).
cnf(506,plain,
in('SKOLEMAAAV10',set_difference(singleton('SKOLEMAAAV10'),'SKOLEMAAAV8')),
inference('UR-RESOLVE',[status(thm)],[31,116,51,theory(equality)]) ).
cnf(1418,plain,
~ subset('SKOLEMAAAV8',set_difference('SKOLEMAAAV8',singleton('SKOLEMAAAV10'))),
inference('UR-RESOLVE',[status(thm)],[60,183,52]) ).
cnf(2765,plain,
subset(singleton('SKOLEMAAAV10'),set_difference(singleton('SKOLEMAAAV10'),'SKOLEMAAAV8')),
inference('HYPERRESOLVE',[status(thm)],[47,506]) ).
cnf(4943,plain,
'SKOLEMAAAV8' != set_difference('SKOLEMAAAV8',singleton('SKOLEMAAAV10')),
inference('UR-RESOLVE',[status(thm)],[3,1418]) ).
cnf(18799,plain,
~ disjoint('SKOLEMAAAV8',singleton('SKOLEMAAAV10')),
inference('UR-RESOLVE',[status(thm)],[89,4943]) ).
cnf(18897,plain,
~ subset(singleton('SKOLEMAAAV10'),set_difference(X,'SKOLEMAAAV8')),
inference('UR-RESOLVE',[status(thm)],[84,18799,205]) ).
cnf(18898,plain,
$false,
inference('REWRITE',[status(thm)],[2765,18897]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU145+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n018.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 19:09:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 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 2022-06-19T19:09:04
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-19T19:09:04
% 0.19/0.49
% 0.19/0.49 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.19/0.49 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.19/0.49 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.19/0.49 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?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 ; Declaring unordered_pair to be commutative.
% 0.19/0.49 ; Declaring set_union2 to be commutative.
% 0.19/0.49 ; Declaring set_intersection2 to be commutative.
% 11.20/11.46 ; Declaring disjoint to be commutative.
% 11.20/11.46
% 11.20/11.46 #||
% 11.20/11.46 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.20/11.46 % SZS output start Refutation
% See solution above
% 11.20/11.46 ||#
% 11.20/11.46
% 11.20/11.46 ; Summary of computation:
% 11.20/11.46 ; 145913 formulas have been input or derived (from 434 formulas).
% 11.20/11.46 ; 18898 (13%) were retained. Of these,
% 11.20/11.46 ; 811 ( 4%) were simplified or subsumed later,
% 11.20/11.46 ; 18087 (96%) are still being kept.
% 11.20/11.46 ;
% 11.20/11.46 ; Run time in seconds excluding printing time:
% 11.20/11.46 ; 0.011 0% Read assertion file (1 call)
% 11.20/11.46 ; 0.004 0% Assert (66 calls)
% 11.20/11.46 ; 1.476 13% Process new row (138,253 calls)
% 11.20/11.46 ; 3.313 30% Resolution (866 calls)
% 11.20/11.46 ; 0.041 0% Paramodulation (433 calls)
% 11.20/11.46 ; 0.000 0% Factoring (28 calls)
% 11.20/11.46 ; 0.149 1% Condensing (11,749 calls)
% 11.20/11.46 ; 0.462 4% Forward subsumption (11,749 calls)
% 11.20/11.46 ; 0.030 0% Backward subsumption (1,325 calls)
% 11.20/11.46 ; 0.135 1% Clause clause subsumption (24,783 calls)
% 11.20/11.46 ; 4.343 40% Forward simplification (137,872 calls)
% 11.20/11.46 ; 0.396 4% Backward simplification (18,895 calls)
% 11.20/11.46 ; 0.202 2% Ordering (54,265 calls)
% 11.20/11.46 ; 0.000 0% Sortal reasoning (32 calls)
% 11.20/11.46 ; 0.000 0% Purity testing (1 call)
% 11.20/11.46 ; 0.426 4% Other
% 11.20/11.46 ; 10.988 Total
% 11.20/11.46 ; 10.989 Real time
% 11.20/11.46 ;
% 11.20/11.46 ; Term-hash-array has 29,744 terms in all.
% 11.20/11.46 ; Feature-vector-row-index has 1,284 entries (1,284 at peak, 1,325 added, 41 deleted).
% 11.20/11.46 ; Feature-vector-row-index has 5,140 nodes (5,149 at peak, 5,263 added, 123 deleted).
% 11.20/11.46 ; Retrieved 63,415 possibly forward subsuming rows in 11,749 calls.
% 11.20/11.46 ; Retrieved 1,819 possibly backward subsumed rows in 1,325 calls.
% 11.20/11.46 ; Path-index has 28,421 entries (28,423 at peak, 30,073 added, 1,652 deleted).
% 11.20/11.46 ; Path-index has 12,521 nodes (12,523 at peak, 12,661 added, 140 deleted).
% 11.20/11.46 ; Trie-index has 28,421 entries (28,423 at peak, 30,073 added, 1,652 deleted).
% 11.20/11.46 ; Trie-index has 89,805 nodes (89,812 at peak, 95,699 added, 5,894 deleted).
% 11.20/11.46 ; Retrieved 863,250 generalization terms in 706,394 calls.
% 11.20/11.46 ; Retrieved 32,518 instance terms in 17,570 calls.
% 11.20/11.46 ; Retrieved 6,315,791 unifiable terms in 50,611 calls.
% 11.20/11.46 ;
% 11.20/11.46 ; The agenda of rows to process has 24 entries:
% 11.20/11.46 ; 8 with value 14 4 with value 17 1 with value 20
% 11.20/11.46 ; 4 with value 15 1 with value 18 1 with value 21
% 11.20/11.46 ; 5 with value 16
% 11.20/11.46 ; The agenda of rows to give has 17657 entries:
% 11.20/11.46 ; 7 with value (4 12) 323 with value (4 28) 13 with value (4 43)
% 11.20/11.46 ; 256 with value (4 13) 220 with value (4 29) 27 with value (4 44)
% 11.20/11.46 ; 376 with value (4 14) 154 with value (4 30) 12 with value (4 45)
% 11.20/11.46 ; 613 with value (4 15) 136 with value (4 31) 12 with value (4 46)
% 11.20/11.46 ; 793 with value (4 16) 95 with value (4 32) 15 with value (4 47)
% 11.20/11.46 ; 1048 with value (4 17) 70 with value (4 33) 7 with value (4 48)
% 11.20/11.46 ; 1433 with value (4 18) 66 with value (4 34) 9 with value (4 49)
% 11.20/11.46 ; 1692 with value (4 19) 56 with value (4 35) 4 with value (4 50)
% 11.20/11.46 ; 1808 with value (4 20) 40 with value (4 36) 4 with value (4 51)
% 11.20/11.46 ; 1824 with value (4 21) 34 with value (4 37) 2 with value (4 52)
% 11.20/11.46 ; 1749 with value (4 22) 30 with value (4 38) 6 with value (4 54)
% 11.20/11.46 ; 1507 with value (4 23) 39 with value (4 39) 6 with value (4 55)
% 11.20/11.46 ; 1085 with value (4 24) 25 with value (4 40) 6 with value (4 56)
% 11.20/11.46 ; 813 with value (4 25) 14 with value (4 41) 8 with value (4 57)
% 11.20/11.46 ; 694 with value (4 26) 18 with value (4 42) 2 with value (4 58)
% 11.20/11.46 ; 506 with value (4 27)
% 11.20/11.46 Evaluation took:
% 11.20/11.46 10.991 seconds of real time
% 11.20/11.46 10.225708 seconds of user run time
% 11.20/11.46 0.765712 seconds of system run time
% 11.20/11.46 [Run times include 1.519 seconds GC run time.]
% 11.20/11.46 0 calls to %EVAL
% 11.20/11.46 0 page faults and
% 11.20/11.46 755,430,664 bytes consed.
% 11.20/11.46 :PROOF-FOUND
% 11.20/11.46 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T19:09:15
% 11.30/11.49 :PROOF-FOUND
% 11.30/11.49 *
%------------------------------------------------------------------------------