TSTP Solution File: SEU171+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU171+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 14:19:48 EDT 2022
% Result : Theorem 0.77s 0.93s
% Output : Refutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of clauses : 14 ( 10 unt; 2 nHn; 14 RR)
% Number of literals : 21 ( 5 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(15,axiom,
( empty(X)
| ~ element(Y,X)
| in(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_subset_1) ).
cnf(53,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(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(138,negated_conjecture,
'SKOLEMAAAV26' != empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t50_subset_1) ).
cnf(139,negated_conjecture,
element('SKOLEMAAAV27',powerset('SKOLEMAAAV26')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t50_subset_1) ).
cnf(140,negated_conjecture,
element('SKOLEMAAAV28','SKOLEMAAAV26'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t50_subset_1) ).
cnf(141,negated_conjecture,
~ in('SKOLEMAAAV28','SKOLEMAAAV27'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t50_subset_1) ).
cnf(142,negated_conjecture,
~ in('SKOLEMAAAV28',subset_complement('SKOLEMAAAV26','SKOLEMAAAV27')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t50_subset_1) ).
cnf(148,axiom,
( ~ empty(X)
| X = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
cnf(175,plain,
~ empty('SKOLEMAAAV26'),
inference('UR-RESOLVE',[status(thm)],[148,138]) ).
cnf(234,plain,
in('SKOLEMAAAV28','SKOLEMAAAV26'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[15,140]),175]) ).
cnf(523,plain,
subset_complement('SKOLEMAAAV26','SKOLEMAAAV27') = set_difference('SKOLEMAAAV26','SKOLEMAAAV27'),
inference('HYPERRESOLVE',[status(thm)],[57,139]) ).
cnf(524,plain,
~ in('SKOLEMAAAV28',set_difference('SKOLEMAAAV26','SKOLEMAAAV27')),
inference('REWRITE',[status(thm)],[142,523,theory(equality)]) ).
cnf(1140,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[53,524,141,theory(equality)]),234]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU171+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jun 19 01:57:08 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T01:57:08
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-19T01:57:08
% 0.21/0.52
% 0.21/0.52 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.21/0.52 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.21/0.52 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.21/0.52 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.21/0.52 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.21/0.52 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.21/0.52 ; Declaring unordered_pair to be commutative.
% 0.21/0.52 ; Declaring set_union2 to be commutative.
% 0.21/0.52 ; Declaring set_intersection2 to be commutative.
% 0.21/0.52 WARNING:
% 0.21/0.52 |are_equipotent| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.77/0.93 ; Declaring disjoint to be commutative.
% 0.77/0.93
% 0.77/0.93 #||
% 0.77/0.93 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.93 % SZS output start Refutation
% See solution above
% 0.77/0.93 ||#
% 0.77/0.93
% 0.77/0.93 ; Summary of computation:
% 0.77/0.93 ; 4218 formulas have been input or derived (from 131 formulas).
% 0.77/0.93 ; 1140 (27%) were retained. Of these,
% 0.77/0.93 ; 48 ( 4%) were simplified or subsumed later,
% 0.77/0.93 ; 1092 (96%) are still being kept.
% 0.77/0.93 ;
% 0.77/0.93 ; Run time in seconds excluding printing time:
% 0.77/0.93 ; 0.021 5% Read assertion file (1 call)
% 0.77/0.93 ; 0.007 2% Assert (111 calls)
% 0.77/0.93 ; 0.079 18% Process new row (3,837 calls)
% 0.77/0.93 ; 0.082 18% Resolution (260 calls)
% 0.77/0.93 ; 0.003 1% Paramodulation (130 calls)
% 0.77/0.93 ; 0.000 0% Factoring (9 calls)
% 0.77/0.93 ; 0.036 8% Condensing (1,925 calls)
% 0.77/0.93 ; 0.045 10% Forward subsumption (1,925 calls)
% 0.77/0.93 ; 0.022 5% Backward subsumption (805 calls)
% 0.77/0.93 ; 0.017 4% Clause clause subsumption (3,493 calls)
% 0.77/0.93 ; 0.076 17% Forward simplification (3,834 calls)
% 0.77/0.93 ; 0.006 1% Backward simplification (1,137 calls)
% 0.77/0.93 ; 0.006 1% Ordering (3,361 calls)
% 0.77/0.93 ; 0.000 0% Sortal reasoning (32 calls)
% 0.77/0.93 ; 0.000 0% Purity testing (1 call)
% 0.77/0.93 ; 0.047 11% Other
% 0.77/0.93 ; 0.447 Total
% 0.77/0.93 ; 0.449 Real time
% 0.77/0.93 ;
% 0.77/0.93 ; Term-hash-array has 2,009 terms in all.
% 0.77/0.93 ; Feature-vector-row-index has 793 entries (793 at peak, 805 added, 12 deleted).
% 0.77/0.93 ; Feature-vector-row-index has 1,916 nodes (1,916 at peak, 1,946 added, 30 deleted).
% 0.77/0.93 ; Retrieved 6,562 possibly forward subsuming rows in 1,925 calls.
% 0.77/0.93 ; Retrieved 541 possibly backward subsumed rows in 805 calls.
% 0.77/0.93 ; Path-index has 1,963 entries (1,963 at peak, 2,021 added, 58 deleted).
% 0.77/0.93 ; Path-index has 3,583 nodes (3,583 at peak, 3,642 added, 59 deleted).
% 0.77/0.93 ; Trie-index has 1,963 entries (1,963 at peak, 2,021 added, 58 deleted).
% 0.77/0.93 ; Trie-index has 5,146 nodes (5,146 at peak, 5,323 added, 177 deleted).
% 0.77/0.93 ; Retrieved 10,526 generalization terms in 16,967 calls.
% 0.77/0.93 ; Retrieved 444 instance terms in 332 calls.
% 0.77/0.93 ; Retrieved 115,613 unifiable terms in 2,044 calls.
% 0.77/0.93 ;
% 0.77/0.93 ; The agenda of rows to process has 139 entries:
% 0.77/0.93 ; 1 with value 8 6 with value 18 1 with value 27
% 0.77/0.93 ; 4 with value 10 9 with value 19 3 with value 28
% 0.77/0.93 ; 4 with value 11 5 with value 20 7 with value 30
% 0.77/0.93 ; 6 with value 12 8 with value 21 7 with value 31
% 0.77/0.93 ; 6 with value 13 4 with value 22 2 with value 32
% 0.77/0.93 ; 6 with value 14 5 with value 23 2 with value 33
% 0.77/0.93 ; 7 with value 15 13 with value 24 1 with value 35
% 0.77/0.93 ; 4 with value 16 4 with value 25 1 with value 36
% 0.77/0.93 ; 14 with value 17 7 with value 26 2 with value 40
% 0.77/0.93 ; The agenda of input rows to give has 28 entries:
% 0.77/0.93 ; 5 with value 20 1 with value 25 1 with value 32
% 0.77/0.93 ; 2 with value 22 3 with value 26 1 with value 33
% 0.77/0.93 ; 10 with value 23 3 with value 31 1 with value 34
% 0.77/0.93 ; 1 with value 24
% 0.77/0.93 ; The agenda of rows to give has 937 entries:
% 0.77/0.93 ; 1 with value (4 4) 36 with value (4 17) 31 with value (4 30)
% 0.77/0.93 ; 9 with value (4 5) 47 with value (4 18) 16 with value (4 31)
% 0.77/0.93 ; 5 with value (4 6) 44 with value (4 19) 5 with value (4 32)
% 0.77/0.93 ; 31 with value (4 7) 48 with value (4 20) 12 with value (4 33)
% 0.77/0.93 ; 34 with value (4 8) 40 with value (4 21) 4 with value (4 34)
% 0.77/0.93 ; 35 with value (4 9) 41 with value (4 22) 7 with value (4 35)
% 0.77/0.93 ; 37 with value (4 10) 30 with value (4 23) 5 with value (4 36)
% 0.77/0.93 ; 40 with value (4 11) 14 with value (4 24) 13 with value (4 37)
% 0.77/0.93 ; 39 with value (4 12) 42 with value (4 25) 6 with value (4 38)
% 0.77/0.93 ; 47 with value (4 13) 21 with value (4 26) 12 with value (4 40)
% 0.77/0.93 ; 28 with value (4 14) 11 with value (4 27) 2 with value (4 41)
% 0.77/0.93 ; 41 with value (4 15) 37 with value (4 28) 4 with value (4 49)
% 0.77/0.93 ; 38 with value (4 16) 22 with value (4 29) 2 with value (4 50)
% 0.77/0.93 Evaluation took:
% 0.77/0.93 0.449 seconds of real time
% 0.77/0.93 0.408237 seconds of user run time
% 0.77/0.93 0.041168 seconds of system run time
% 0.77/0.93 [Run times include 0.019 seconds GC run time.]
% 0.77/0.93 0 calls to %EVAL
% 0.77/0.93 0 page faults and
% 0.77/0.93 31,696,984 bytes consed.
% 0.77/0.93 :PROOF-FOUND
% 0.77/0.93 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T01:57:09
% 0.77/0.93 :PROOF-FOUND
% 0.77/0.93 *
%------------------------------------------------------------------------------