%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU154+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 14:19:35 EDT 2022
% Result : Theorem 0.82s 1.01s
% Output : Refutation 0.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 20 ( 13 unt; 2 nHn; 16 RR)
% Number of literals : 32 ( 10 equ; 16 neg)
% Maximal clause size : 3 ( 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; 0-3 aty)
% Number of variables : 25 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ in(X,Y)
| ~ in(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
cnf(4,axiom,
( X != singleton(Y)
| ~ in(Z,X)
| Z = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
cnf(5,axiom,
( X != singleton(Y)
| in(Z,X)
| Z != Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
cnf(8,axiom,
( ~ subset(X,Y)
| ~ in(Z,X)
| in(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(14,axiom,
( X = set_intersection2(Y,Z)
| in('SKOLEMAAAV3'(X,Y,Z),X)
| in('SKOLEMAAAV3'(X,Y,Z),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(15,axiom,
( X = set_intersection2(Y,Z)
| in('SKOLEMAAAV3'(X,Y,Z),X)
| in('SKOLEMAAAV3'(X,Y,Z),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(17,axiom,
( disjoint(X,Y)
| set_intersection2(X,Y) != empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_xboole_0) ).
cnf(20,negated_conjecture,
~ in('SKOLEMAAAV4','SKOLEMAAAV5'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l28_zfmisc_1) ).
cnf(21,negated_conjecture,
~ disjoint(singleton('SKOLEMAAAV4'),'SKOLEMAAAV5'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l28_zfmisc_1) ).
cnf(25,axiom,
subset(empty_set,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_xboole_1) ).
cnf(28,plain,
set_intersection2(singleton('SKOLEMAAAV4'),'SKOLEMAAAV5') != empty_set,
inference('UR-RESOLVE',[status(thm)],[17,21]) ).
cnf(32,plain,
in(X,singleton(X)),
inference('HYPERRESOLVE',[status(thm)],[5,theory(equality),theory(equality)]) ).
cnf(62,plain,
~ in(singleton(X),X),
inference('UR-RESOLVE',[status(thm)],[1,32]) ).
cnf(82,plain,
X != singleton(X),
inference('UR-RESOLVE',[status(thm)],[5,62]) ).
cnf(100,plain,
~ in(X,singleton(singleton(X))),
inference('UR-RESOLVE',[status(thm)],[4,82,theory(equality)]) ).
cnf(185,plain,
~ in(X,empty_set),
inference('UR-RESOLVE',[status(thm)],[8,100,25]) ).
cnf(200,plain,
in('SKOLEMAAAV3'(empty_set,'SKOLEMAAAV5',singleton('SKOLEMAAAV4')),'SKOLEMAAAV5'),
inference('UR-RESOLVE',[status(thm)],[14,185,28]) ).
cnf(201,plain,
in('SKOLEMAAAV3'(empty_set,'SKOLEMAAAV5',singleton('SKOLEMAAAV4')),singleton('SKOLEMAAAV4')),
inference('UR-RESOLVE',[status(thm)],[15,185,28]) ).
cnf(632,plain,
'SKOLEMAAAV3'(empty_set,'SKOLEMAAAV5',singleton('SKOLEMAAAV4')) = 'SKOLEMAAAV4',
inference('HYPERRESOLVE',[status(thm)],[4,201,theory(equality)]) ).
cnf(633,plain,
$false,
inference('REWRITE',[status(thm)],[200,20,632,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU154+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 19 11:59:46 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-19T11:59:46
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-19T11:59:46
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.19/0.48 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.19/0.48 ; Declaring set_intersection2 to be commutative.
% 0.82/1.01 ; Declaring disjoint to be commutative.
% 0.82/1.01
% 0.82/1.01 #||
% 0.82/1.01 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.82/1.01 % SZS output start Refutation
% See solution above
% 0.82/1.01 ||#
% 0.82/1.01
% 0.82/1.01 ; Summary of computation:
% 0.82/1.01 ; 10062 formulas have been input or derived (from 170 formulas).
% 0.82/1.01 ; 633 ( 6%) were retained. Of these,
% 0.82/1.01 ; 167 (26%) were simplified or subsumed later,
% 0.82/1.01 ; 466 (74%) are still being kept.
% 0.82/1.01 ;
% 0.82/1.01 ; Run time in seconds excluding printing time:
% 0.82/1.01 ; 0.003 1% Read assertion file (1 call)
% 0.82/1.01 ; 0.001 0% Assert (18 calls)
% 0.82/1.01 ; 0.053 10% Process new row (7,562 calls)
% 0.82/1.01 ; 0.165 30% Resolution (338 calls)
% 0.82/1.01 ; 0.006 1% Paramodulation (169 calls)
% 0.82/1.01 ; 0.000 0% Factoring (14 calls)
% 0.82/1.01 ; 0.025 5% Condensing (2,178 calls)
% 0.82/1.01 ; 0.053 10% Forward subsumption (2,178 calls)
% 0.82/1.01 ; 0.002 0% Backward subsumption (139 calls)
% 0.82/1.01 ; 0.020 4% Clause clause subsumption (4,265 calls)
% 0.82/1.01 ; 0.124 23% Forward simplification (7,255 calls)
% 0.82/1.01 ; 0.010 2% Backward simplification (633 calls)
% 0.82/1.01 ; 0.016 3% Ordering (5,798 calls)
% 0.82/1.01 ; 0.000 0% Sortal reasoning (32 calls)
% 0.82/1.01 ; 0.000 0% Purity testing (1 call)
% 0.82/1.01 ; 0.064 12% Other
% 0.82/1.01 ; 0.542 Total
% 0.82/1.01 ; 0.544 Real time
% 0.82/1.01 ;
% 0.82/1.01 ; Term-hash-array has 1,006 terms in all.
% 0.82/1.01 ; Feature-vector-row-index has 132 entries (134 at peak, 139 added, 7 deleted).
% 0.82/1.01 ; Feature-vector-row-index has 392 nodes (392 at peak, 411 added, 19 deleted).
% 0.82/1.01 ; Retrieved 13,997 possibly forward subsuming rows in 2,178 calls.
% 0.82/1.01 ; Retrieved 151 possibly backward subsumed rows in 139 calls.
% 0.82/1.01 ; Path-index has 808 entries (836 at peak, 1,020 added, 212 deleted).
% 0.82/1.01 ; Path-index has 1,268 nodes (1,290 at peak, 1,379 added, 111 deleted).
% 0.82/1.01 ; Trie-index has 808 entries (836 at peak, 1,020 added, 212 deleted).
% 0.82/1.01 ; Trie-index has 2,672 nodes (2,760 at peak, 3,362 added, 690 deleted).
% 0.82/1.01 ; Retrieved 19,526 generalization terms in 30,944 calls.
% 0.82/1.01 ; Retrieved 690 instance terms in 493 calls.
% 0.82/1.01 ; Retrieved 98,665 unifiable terms in 5,660 calls.
% 0.82/1.01 ;
% 0.82/1.01 ; The agenda of backward simplifiable rows to process has 17 entries:
% 0.82/1.01 ; 17 with value 0
% 0.82/1.01 ; The agenda of rows to process has 198 entries:
% 0.82/1.01 ; 4 with value 17 2 with value 29 1 with value 40
% 0.82/1.01 ; 3 with value 18 10 with value 30 1 with value 41
% 0.82/1.01 ; 4 with value 20 1 with value 31 6 with value 42
% 0.82/1.02 ; 1 with value 21 12 with value 32 1 with value 43
% 0.82/1.02 ; 7 with value 22 10 with value 33 4 with value 44
% 0.82/1.02 ; 10 with value 23 1 with value 34 15 with value 45
% 0.82/1.02 ; 8 with value 24 9 with value 35 4 with value 46
% 0.82/1.02 ; 12 with value 25 6 with value 36 1 with value 47
% 0.82/1.02 ; 18 with value 26 4 with value 37 4 with value 49
% 0.82/1.02 ; 20 with value 27 5 with value 38 1 with value 51
% 0.82/1.02 ; 6 with value 28 6 with value 39 1 with value 54
% 0.82/1.02 ; The agenda of rows to give has 330 entries:
% 0.82/1.02 ; 32 with value (4 17) 10 with value (4 25) 6 with value (4 33)
% 0.82/1.02 ; 38 with value (4 18) 10 with value (4 26) 3 with value (4 34)
% 0.82/1.02 ; 43 with value (4 19) 8 with value (4 27) 3 with value (4 35)
% 0.82/1.02 ; 35 with value (4 20) 3 with value (4 28) 5 with value (4 37)
% 0.82/1.02 ; 38 with value (4 21) 5 with value (4 29) 1 with value (4 38)
% 0.82/1.02 ; 17 with value (4 22) 5 with value (4 30) 1 with value (4 40)
% 0.82/1.02 ; 31 with value (4 23) 10 with value (4 31) 4 with value (4 45)
% 0.82/1.02 ; 18 with value (4 24) 3 with value (4 32) 1 with value (4 59)
% 0.82/1.02 Evaluation took:
% 0.82/1.02 0.545 seconds of real time
% 0.82/1.02 0.492007 seconds of user run time
% 0.82/1.02 0.052683 seconds of system run time
% 0.82/1.02 [Run times include 0.015 seconds GC run time.]
% 0.82/1.02 0 calls to %EVAL
% 0.82/1.02 0 page faults and
% 0.82/1.02 41,566,496 bytes consed.
% 0.82/1.02 :PROOF-FOUND
% 0.82/1.02 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T11:59:47
% 0.82/1.02 :PROOF-FOUND
% 0.82/1.02 *
%------------------------------------------------------------------------------