%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU172+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 14:19:49 EDT 2022
% Result : Theorem 0.47s 0.66s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR)
% Number of literals : 10 ( 3 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(52,axiom,
( X != set_difference(Y,Z)
| ~ in(U,X)
| ~ in(U,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
cnf(57,axiom,
( ~ element(X,powerset(Y))
| subset_complement(Y,X) = set_difference(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_subset_1) ).
cnf(139,negated_conjecture,
element('SKOLEMAAAV28',powerset('SKOLEMAAAV26')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_subset_1) ).
cnf(140,negated_conjecture,
in('SKOLEMAAAV27',subset_complement('SKOLEMAAAV26','SKOLEMAAAV28')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_subset_1) ).
cnf(141,negated_conjecture,
in('SKOLEMAAAV27','SKOLEMAAAV28'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_subset_1) ).
cnf(479,plain,
subset_complement('SKOLEMAAAV26','SKOLEMAAAV28') != set_difference(X,'SKOLEMAAAV28'),
inference('UR-RESOLVE',[status(thm)],[52,140,141]) ).
cnf(516,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[57,139]),479]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEU172+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 19 06:30:33 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 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 2022-06-19T06:30:34
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-19T06:30:34
% 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)).
% 0.19/0.50 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.19/0.50 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.19/0.50 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.19/0.50 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.19/0.50 ; Declaring unordered_pair to be commutative.
% 0.19/0.50 ; Declaring set_union2 to be commutative.
% 0.19/0.50 ; Declaring set_intersection2 to be commutative.
% 0.19/0.50 WARNING:
% 0.19/0.50 |are_equipotent| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66 ; Declaring disjoint to be commutative.
% 0.47/0.66
% 0.47/0.66 #||
% 0.47/0.66 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.66 % SZS output start Refutation
% See solution above
% 0.47/0.66 ||#
% 0.47/0.66
% 0.47/0.66 ; Summary of computation:
% 0.47/0.66 ; 2234 formulas have been input or derived (from 104 formulas).
% 0.47/0.66 ; 516 (23%) were retained. Of these,
% 0.47/0.66 ; 22 ( 4%) were simplified or subsumed later,
% 0.47/0.66 ; 494 (96%) are still being kept.
% 0.47/0.66 ;
% 0.47/0.66 ; Run time in seconds excluding printing time:
% 0.47/0.66 ; 0.021 11% Read assertion file (1 call)
% 0.47/0.66 ; 0.005 3% Assert (112 calls)
% 0.47/0.66 ; 0.030 15% Process new row (2,090 calls)
% 0.47/0.66 ; 0.031 16% Resolution (206 calls)
% 0.47/0.66 ; 0.002 1% Paramodulation (103 calls)
% 0.47/0.66 ; 0.000 0% Factoring (7 calls)
% 0.47/0.66 ; 0.012 6% Condensing (602 calls)
% 0.47/0.66 ; 0.014 7% Forward subsumption (602 calls)
% 0.47/0.66 ; 0.002 1% Backward subsumption (298 calls)
% 0.47/0.66 ; 0.007 4% Clause clause subsumption (630 calls)
% 0.47/0.66 ; 0.032 16% Forward simplification (2,087 calls)
% 0.47/0.66 ; 0.002 1% Backward simplification (513 calls)
% 0.47/0.66 ; 0.000 0% Ordering (657 calls)
% 0.47/0.66 ; 0.001 1% Sortal reasoning (32 calls)
% 0.47/0.66 ; 0.001 1% Purity testing (1 call)
% 0.47/0.66 ; 0.038 19% Other
% 0.47/0.66 ; 0.198 Total
% 0.47/0.66 ; 0.200 Real time
% 0.47/0.66 ;
% 0.47/0.66 ; Term-hash-array has 801 terms in all.
% 0.47/0.66 ; Feature-vector-row-index has 288 entries (288 at peak, 298 added, 10 deleted).
% 0.47/0.66 ; Feature-vector-row-index has 720 nodes (720 at peak, 740 added, 20 deleted).
% 0.47/0.66 ; Retrieved 950 possibly forward subsuming rows in 602 calls.
% 0.47/0.66 ; Retrieved 74 possibly backward subsumed rows in 298 calls.
% 0.47/0.66 ; Path-index has 788 entries (788 at peak, 811 added, 23 deleted).
% 0.47/0.66 ; Path-index has 1,642 nodes (1,642 at peak, 1,656 added, 14 deleted).
% 0.47/0.66 ; Trie-index has 788 entries (788 at peak, 811 added, 23 deleted).
% 0.47/0.66 ; Trie-index has 2,020 nodes (2,020 at peak, 2,062 added, 42 deleted).
% 0.47/0.66 ; Retrieved 6,277 generalization terms in 8,297 calls.
% 0.47/0.66 ; Retrieved 293 instance terms in 215 calls.
% 0.47/0.66 ; Retrieved 35,216 unifiable terms in 1,129 calls.
% 0.47/0.66 ;
% 0.47/0.66 ; The agenda of rows to process has 5 entries:
% 0.47/0.66 ; 3 with value 10 2 with value 16
% 0.47/0.66 ; The agenda of input rows to give has 53 entries:
% 0.47/0.66 ; 2 with value 15 5 with value 20 3 with value 26
% 0.47/0.66 ; 5 with value 16 2 with value 22 3 with value 31
% 0.47/0.66 ; 7 with value 17 10 with value 23 1 with value 32
% 0.47/0.66 ; 5 with value 18 1 with value 24 1 with value 33
% 0.47/0.66 ; 5 with value 19 2 with value 25 1 with value 34
% 0.47/0.66 ; The agenda of rows to give has 340 entries:
% 0.47/0.66 ; 1 with value (4 4) 24 with value (4 11) 14 with value (4 18)
% 0.47/0.66 ; 11 with value (4 5) 28 with value (4 12) 21 with value (4 19)
% 0.47/0.66 ; 5 with value (4 6) 28 with value (4 13) 13 with value (4 20)
% 0.47/0.66 ; 25 with value (4 7) 20 with value (4 14) 6 with value (4 21)
% 0.47/0.66 ; 23 with value (4 8) 23 with value (4 15) 1 with value (4 22)
% 0.47/0.66 ; 25 with value (4 9) 24 with value (4 16) 3 with value (4 23)
% 0.47/0.66 ; 28 with value (4 10) 17 with value (4 17)
% 0.47/0.66 Evaluation took:
% 0.47/0.66 0.2 seconds of real time
% 0.47/0.66 0.175889 seconds of user run time
% 0.47/0.66 0.024044 seconds of system run time
% 0.47/0.66 0 calls to %EVAL
% 0.47/0.66 0 page faults and
% 0.47/0.66 11,915,296 bytes consed.
% 0.47/0.66 :PROOF-FOUND
% 0.47/0.66 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T06:30:34
% 0.47/0.66 :PROOF-FOUND
% 0.47/0.66 *
%------------------------------------------------------------------------------