%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU125+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 14:19:17 EDT 2022
% Result : Theorem 0.60s 0.78s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 8 unt; 2 nHn; 11 RR)
% Number of literals : 19 ( 1 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
( X != set_union2(Y,Z)
| ~ in(U,X)
| in(U,Y)
| in(U,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
cnf(11,axiom,
( ~ subset(X,Y)
| ~ in(Z,X)
| in(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(12,axiom,
( subset(X,Y)
| in('SKOLEMAAAV3'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(13,axiom,
( subset(X,Y)
| ~ in('SKOLEMAAAV3'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(41,negated_conjecture,
subset('SKOLEMAAAV9','SKOLEMAAAV10'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_xboole_1) ).
cnf(42,negated_conjecture,
subset('SKOLEMAAAV11','SKOLEMAAAV10'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_xboole_1) ).
cnf(43,negated_conjecture,
~ subset(set_union2('SKOLEMAAAV9','SKOLEMAAAV11'),'SKOLEMAAAV10'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_xboole_1) ).
cnf(49,plain,
in('SKOLEMAAAV3'(set_union2('SKOLEMAAAV9','SKOLEMAAAV11'),'SKOLEMAAAV10'),set_union2('SKOLEMAAAV9','SKOLEMAAAV11')),
inference('HYPERRESOLVE',[status(thm)],[43,12]) ).
cnf(50,plain,
~ in('SKOLEMAAAV3'(set_union2('SKOLEMAAAV9','SKOLEMAAAV11'),'SKOLEMAAAV10'),'SKOLEMAAAV10'),
inference('UR-RESOLVE',[status(thm)],[13,43]) ).
cnf(208,plain,
~ in('SKOLEMAAAV3'(set_union2('SKOLEMAAAV9','SKOLEMAAAV11'),'SKOLEMAAAV10'),'SKOLEMAAAV9'),
inference('UR-RESOLVE',[status(thm)],[11,50,41]) ).
cnf(209,plain,
~ in('SKOLEMAAAV3'(set_union2('SKOLEMAAAV9','SKOLEMAAAV11'),'SKOLEMAAAV10'),'SKOLEMAAAV11'),
inference('UR-RESOLVE',[status(thm)],[11,50,42]) ).
cnf(464,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[6,209,208,theory(equality)]),49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SEU125+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n014.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 00:28:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T00:28:34
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-19T00:28:34
% 0.20/0.49
% 0.20/0.49 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.20/0.49 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.20/0.49 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.20/0.49 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.20/0.49 ; Declaring set_union2 to be commutative.
% 0.20/0.49 ; Declaring set_intersection2 to be commutative.
% 0.60/0.78 ; Declaring disjoint to be commutative.
% 0.60/0.78
% 0.60/0.78 #||
% 0.60/0.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.78 % SZS output start Refutation
% See solution above
% 0.60/0.78 ||#
% 0.60/0.78
% 0.60/0.78 ; Summary of computation:
% 0.60/0.78 ; 2566 formulas have been input or derived (from 94 formulas).
% 0.60/0.78 ; 464 (18%) were retained. Of these,
% 0.60/0.78 ; 8 ( 2%) were simplified or subsumed later,
% 0.60/0.78 ; 456 (98%) are still being kept.
% 0.60/0.78 ;
% 0.60/0.78 ; Run time in seconds excluding printing time:
% 0.60/0.78 ; 0.006 2% Read assertion file (1 call)
% 0.60/0.78 ; 0.002 1% Assert (32 calls)
% 0.60/0.78 ; 0.041 13% Process new row (2,157 calls)
% 0.60/0.78 ; 0.064 21% Resolution (186 calls)
% 0.60/0.78 ; 0.003 1% Paramodulation (93 calls)
% 0.60/0.78 ; 0.000 0% Factoring (24 calls)
% 0.60/0.78 ; 0.028 9% Condensing (1,429 calls)
% 0.60/0.78 ; 0.040 13% Forward subsumption (1,429 calls)
% 0.60/0.78 ; 0.016 5% Backward subsumption (370 calls)
% 0.60/0.78 ; 0.025 8% Clause clause subsumption (3,553 calls)
% 0.60/0.78 ; 0.039 13% Forward simplification (2,156 calls)
% 0.60/0.78 ; 0.003 1% Backward simplification (464 calls)
% 0.60/0.78 ; 0.002 1% Ordering (3,348 calls)
% 0.60/0.78 ; 0.000 0% Sortal reasoning (32 calls)
% 0.60/0.78 ; 0.000 0% Purity testing (1 call)
% 0.60/0.78 ; 0.038 12% Other
% 0.60/0.78 ; 0.307 Total
% 0.60/0.78 ; 0.308 Real time
% 0.60/0.78 ;
% 0.60/0.78 ; Term-hash-array has 735 terms in all.
% 0.60/0.78 ; Feature-vector-row-index has 365 entries (365 at peak, 370 added, 5 deleted).
% 0.60/0.78 ; Feature-vector-row-index has 1,218 nodes (1,218 at peak, 1,229 added, 11 deleted).
% 0.60/0.78 ; Retrieved 6,734 possibly forward subsuming rows in 1,429 calls.
% 0.60/0.78 ; Retrieved 532 possibly backward subsumed rows in 370 calls.
% 0.60/0.78 ; Path-index has 727 entries (727 at peak, 745 added, 18 deleted).
% 0.60/0.78 ; Path-index has 417 nodes (417 at peak, 431 added, 14 deleted).
% 0.60/0.78 ; Trie-index has 727 entries (727 at peak, 745 added, 18 deleted).
% 0.60/0.78 ; Trie-index has 1,372 nodes (1,372 at peak, 1,420 added, 48 deleted).
% 0.60/0.78 ; Retrieved 3,910 generalization terms in 7,699 calls.
% 0.60/0.78 ; Retrieved 101 instance terms in 93 calls.
% 0.60/0.78 ; Retrieved 42,124 unifiable terms in 2,187 calls.
% 0.60/0.78 ;
% 0.60/0.78 ; The agenda of rows to process has 33 entries:
% 0.60/0.78 ; 6 with value 15 9 with value 17 18 with value 19
% 0.60/0.78 ; The agenda of rows to give has 363 entries:
% 0.60/0.78 ; 5 with value (4 12) 4 with value (4 23) 2 with value (4 33)
% 0.60/0.78 ; 21 with value (4 13) 18 with value (4 24) 3 with value (4 34)
% 0.60/0.78 ; 16 with value (4 14) 3 with value (4 25) 6 with value (4 35)
% 0.60/0.78 ; 39 with value (4 15) 6 with value (4 26) 3 with value (4 38)
% 0.60/0.78 ; 12 with value (4 16) 8 with value (4 27) 9 with value (4 39)
% 0.60/0.78 ; 6 with value (4 17) 2 with value (4 28) 12 with value (4 40)
% 0.60/0.78 ; 25 with value (4 18) 7 with value (4 29) 3 with value (4 43)
% 0.60/0.78 ; 31 with value (4 19) 8 with value (4 30) 4 with value (4 44)
% 0.60/0.78 ; 56 with value (4 20) 12 with value (4 31) 1 with value (4 54)
% 0.60/0.79 ; 12 with value (4 21) 27 with value (4 32) 2 with value (4 55)
% 0.60/0.79 Evaluation took:
% 0.60/0.79 0.31 seconds of real time
% 0.60/0.79 0.276412 seconds of user run time
% 0.60/0.79 0.032931 seconds of system run time
% 0.60/0.79 [Run times include 0.007 seconds GC run time.]
% 0.60/0.79 0 calls to %EVAL
% 0.60/0.79 0 page faults and
% 0.60/0.79 22,079,216 bytes consed.
% 0.60/0.79 :PROOF-FOUND
% 0.60/0.79 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T00:28:34
% 0.60/0.79 :PROOF-FOUND
% 0.60/0.79 *
%------------------------------------------------------------------------------