%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU170+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 14:19:47 EDT 2022
% Result : Theorem 0.92s 1.13s
% Output : Refutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of clauses : 26 ( 11 unt; 7 nHn; 20 RR)
% Number of literals : 49 ( 4 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 : 31 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ subset(X,Y)
| ~ in(Z,X)
| in(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(3,axiom,
( subset(X,Y)
| in('SKOLEMAAAV1'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(4,axiom,
( subset(X,Y)
| ~ in('SKOLEMAAAV1'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(6,axiom,
( X != set_difference(Y,Z)
| ~ in(U,X)
| ~ in(U,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
cnf(7,axiom,
( X != set_difference(Y,Z)
| in(U,X)
| ~ in(U,Y)
| in(U,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
cnf(11,axiom,
( ~ element(X,powerset(Y))
| subset_complement(Y,X) = set_difference(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_subset_1) ).
cnf(17,axiom,
( ~ element(X,powerset(Y))
| ~ in(Z,X)
| in(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_subset_1) ).
cnf(26,axiom,
( disjoint(X,Y)
| in('SKOLEMAAAV8'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_xboole_0) ).
cnf(27,axiom,
( disjoint(X,Y)
| in('SKOLEMAAAV8'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_xboole_0) ).
cnf(28,axiom,
( ~ in(X,Y)
| ~ in(X,Z)
| ~ disjoint(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_xboole_0) ).
cnf(29,negated_conjecture,
element('SKOLEMAAAV10',powerset('SKOLEMAAAV9')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_subset_1) ).
cnf(30,negated_conjecture,
element('SKOLEMAAAV11',powerset('SKOLEMAAAV9')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_subset_1) ).
cnf(31,negated_conjecture,
( ~ disjoint('SKOLEMAAAV10','SKOLEMAAAV11')
| ~ subset('SKOLEMAAAV10',subset_complement('SKOLEMAAAV9','SKOLEMAAAV11')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_subset_1) ).
cnf(32,negated_conjecture,
( disjoint('SKOLEMAAAV10','SKOLEMAAAV11')
| subset('SKOLEMAAAV10',subset_complement('SKOLEMAAAV9','SKOLEMAAAV11')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_subset_1) ).
cnf(46,plain,
( disjoint('SKOLEMAAAV10','SKOLEMAAAV11')
| disjoint('SKOLEMAAAV10',X)
| in('SKOLEMAAAV8'('SKOLEMAAAV10',X),subset_complement('SKOLEMAAAV9','SKOLEMAAAV11')) ),
inference('HYPERRESOLVE',[status(thm)],[2,32,26]) ).
cnf(67,plain,
disjoint(set_difference(X,Y),Y),
inference('HYPERRESOLVE',[status(thm)],[6,26,27,theory(equality)]) ).
cnf(70,plain,
subset_complement('SKOLEMAAAV9','SKOLEMAAAV11') = set_difference('SKOLEMAAAV9','SKOLEMAAAV11'),
inference('HYPERRESOLVE',[status(thm)],[11,30]) ).
cnf(71,plain,
( ~ disjoint('SKOLEMAAAV10','SKOLEMAAAV11')
| ~ subset('SKOLEMAAAV10',set_difference('SKOLEMAAAV9','SKOLEMAAAV11')) ),
inference('REWRITE',[status(thm)],[31,70,theory(equality)]) ).
cnf(73,plain,
( disjoint('SKOLEMAAAV10','SKOLEMAAAV11')
| disjoint('SKOLEMAAAV10',X)
| in('SKOLEMAAAV8'('SKOLEMAAAV10',X),set_difference('SKOLEMAAAV9','SKOLEMAAAV11')) ),
inference('REWRITE',[status(thm)],[46,70,theory(equality)]) ).
cnf(543,plain,
disjoint('SKOLEMAAAV10','SKOLEMAAAV11'),
inference('HYPERRESOLVE',[status(thm)],[28,73,27,67]) ).
cnf(544,plain,
~ subset('SKOLEMAAAV10',set_difference('SKOLEMAAAV9','SKOLEMAAAV11')),
inference('REWRITE',[status(thm)],[71,543]) ).
cnf(545,plain,
in('SKOLEMAAAV1'('SKOLEMAAAV10',set_difference('SKOLEMAAAV9','SKOLEMAAAV11')),'SKOLEMAAAV10'),
inference('HYPERRESOLVE',[status(thm)],[544,3]) ).
cnf(546,plain,
~ in('SKOLEMAAAV1'('SKOLEMAAAV10',set_difference('SKOLEMAAAV9','SKOLEMAAAV11')),set_difference('SKOLEMAAAV9','SKOLEMAAAV11')),
inference('UR-RESOLVE',[status(thm)],[4,544]) ).
cnf(585,plain,
in('SKOLEMAAAV1'('SKOLEMAAAV10',set_difference('SKOLEMAAAV9','SKOLEMAAAV11')),'SKOLEMAAAV9'),
inference('HYPERRESOLVE',[status(thm)],[17,545,29]) ).
cnf(587,plain,
~ in('SKOLEMAAAV1'('SKOLEMAAAV10',set_difference('SKOLEMAAAV9','SKOLEMAAAV11')),'SKOLEMAAAV11'),
inference('UR-RESOLVE',[status(thm)],[28,545,543]) ).
cnf(770,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,585,70]),587,546,70,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU170+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n006.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 05:23:55 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 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T05:23:55
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-19T05:23:55
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.19/0.48 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.92/1.13 ; Declaring disjoint to be commutative.
% 0.92/1.13
% 0.92/1.13 #||
% 0.92/1.13 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.92/1.13 % SZS output start Refutation
% See solution above
% 0.92/1.13 ||#
% 0.92/1.13
% 0.92/1.13 ; Summary of computation:
% 0.92/1.13 ; 10754 formulas have been input or derived (from 212 formulas).
% 0.92/1.13 ; 770 ( 7%) were retained. Of these,
% 0.92/1.13 ; 96 (12%) were simplified or subsumed later,
% 0.92/1.13 ; 674 (88%) are still being kept.
% 0.92/1.13 ;
% 0.92/1.13 ; Run time in seconds excluding printing time:
% 0.92/1.13 ; 0.005 1% Read assertion file (1 call)
% 0.92/1.13 ; 0.002 0% Assert (27 calls)
% 0.92/1.13 ; 0.069 10% Process new row (8,787 calls)
% 0.92/1.13 ; 0.197 30% Resolution (422 calls)
% 0.92/1.13 ; 0.014 2% Paramodulation (211 calls)
% 0.92/1.13 ; 0.000 0% Factoring (34 calls)
% 0.92/1.13 ; 0.022 3% Condensing (3,080 calls)
% 0.92/1.13 ; 0.104 16% Forward subsumption (3,080 calls)
% 0.92/1.13 ; 0.014 2% Backward subsumption (382 calls)
% 0.92/1.13 ; 0.027 4% Clause clause subsumption (6,513 calls)
% 0.92/1.13 ; 0.126 19% Forward simplification (8,177 calls)
% 0.92/1.13 ; 0.009 1% Backward simplification (770 calls)
% 0.92/1.13 ; 0.019 3% Ordering (7,267 calls)
% 0.92/1.13 ; 0.000 0% Sortal reasoning (32 calls)
% 0.92/1.13 ; 0.000 0% Purity testing (1 call)
% 0.92/1.13 ; 0.057 9% Other
% 0.92/1.13 ; 0.665 Total
% 0.92/1.13 ; 0.667 Real time
% 0.92/1.13 ;
% 0.92/1.13 ; Term-hash-array has 1,438 terms in all.
% 0.92/1.13 ; Feature-vector-row-index has 315 entries (315 at peak, 382 added, 67 deleted).
% 0.92/1.13 ; Feature-vector-row-index has 1,415 nodes (1,444 at peak, 1,948 added, 533 deleted).
% 0.92/1.13 ; Retrieved 14,727 possibly forward subsuming rows in 3,080 calls.
% 0.92/1.13 ; Retrieved 341 possibly backward subsumed rows in 382 calls.
% 0.92/1.13 ; Path-index has 1,358 entries (1,358 at peak, 1,465 added, 107 deleted).
% 0.92/1.13 ; Path-index has 1,652 nodes (1,652 at peak, 1,756 added, 104 deleted).
% 0.92/1.13 ; Trie-index has 1,358 entries (1,358 at peak, 1,465 added, 107 deleted).
% 0.92/1.13 ; Trie-index has 3,999 nodes (3,999 at peak, 4,370 added, 371 deleted).
% 0.92/1.13 ; Retrieved 29,068 generalization terms in 27,736 calls.
% 0.92/1.13 ; Retrieved 623 instance terms in 387 calls.
% 0.92/1.13 ; Retrieved 245,952 unifiable terms in 7,219 calls.
% 0.92/1.13 ;
% 0.92/1.13 ; The agenda of rows to process has 17 entries:
% 0.92/1.13 ; 3 with value 25 3 with value 28 1 with value 32
% 0.92/1.13 ; 2 with value 26 4 with value 30 1 with value 36
% 0.92/1.13 ; 3 with value 27
% 0.92/1.13 ; The agenda of rows to give has 479 entries:
% 0.92/1.13 ; 19 with value (4 12) 23 with value (4 23) 5 with value (4 34)
% 0.92/1.13 ; 20 with value (4 13) 29 with value (4 24) 4 with value (4 35)
% 0.92/1.13 ; 17 with value (4 14) 23 with value (4 25) 3 with value (4 36)
% 0.92/1.13 ; 11 with value (4 15) 18 with value (4 26) 5 with value (4 37)
% 0.92/1.13 ; 19 with value (4 16) 19 with value (4 27) 6 with value (4 38)
% 0.92/1.13 ; 6 with value (4 17) 10 with value (4 28) 2 with value (4 39)
% 0.92/1.13 ; 30 with value (4 18) 14 with value (4 29) 2 with value (4 42)
% 0.92/1.13 ; 31 with value (4 19) 11 with value (4 30) 2 with value (4 43)
% 0.92/1.13 ; 43 with value (4 20) 12 with value (4 31) 1 with value (4 45)
% 0.92/1.13 ; 32 with value (4 21) 9 with value (4 32) 2 with value (4 46)
% 0.92/1.13 ; 44 with value (4 22) 6 with value (4 33) 1 with value (4 47)
% 0.92/1.13 Evaluation took:
% 0.92/1.13 0.667 seconds of real time
% 0.92/1.13 0.596355 seconds of user run time
% 0.92/1.13 0.070913 seconds of system run time
% 0.92/1.13 [Run times include 0.018 seconds GC run time.]
% 0.92/1.13 0 calls to %EVAL
% 0.92/1.13 0 page faults and
% 0.92/1.13 47,435,168 bytes consed.
% 0.92/1.13 :PROOF-FOUND
% 0.92/1.13 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T05:23:56
% 0.92/1.13 :PROOF-FOUND
% 0.92/1.13 *
%------------------------------------------------------------------------------