%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU112+1 : TPTP v8.1.0. Released v3.2.0.
% 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 14:19:10 EDT 2022
% Result : Theorem 0.78s 0.93s
% Output : Refutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 4 unt; 0 nHn; 4 RR)
% Number of literals : 9 ( 0 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(45,axiom,
( ~ subset(X,Y)
| subset(finite_subsets(X),finite_subsets(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_finsub_1) ).
cnf(46,negated_conjecture,
~ subset(set_union2(finite_subsets('SKOLEMAAAV11'),finite_subsets('SKOLEMAAAV12')),finite_subsets(set_union2('SKOLEMAAAV11','SKOLEMAAAV12'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_finsub_1) ).
cnf(54,axiom,
subset(X,set_union2(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_xboole_1) ).
cnf(56,axiom,
( ~ subset(X,Y)
| ~ subset(Z,Y)
| subset(set_union2(X,Z),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_xboole_1) ).
cnf(118,plain,
subset(finite_subsets(X),finite_subsets(set_union2(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[45,54]) ).
cnf(2850,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[56,118,118,46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU112+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 20 11:25:09 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T11:25:09
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-20T11:25:09
% 0.20/0.48
% 0.20/0.48 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.20/0.48 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.20/0.49 WARNING:
% 0.20/0.49 |cap_closed| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49 WARNING:
% 0.20/0.49 |relation| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49 WARNING:
% 0.20/0.49 |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49 WARNING:
% 0.20/0.49 |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49 WARNING:
% 0.20/0.49 |epsilon_transitive| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49 WARNING:
% 0.20/0.49 |epsilon_connected| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49 WARNING:
% 0.20/0.49 |ordinal| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49 WARNING:
% 0.20/0.49 |natural| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.78/0.93 ; Declaring set_union2 to be commutative.
% 0.78/0.93
% 0.78/0.93 #||
% 0.78/0.93 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.78/0.93 % SZS output start Refutation
% See solution above
% 0.78/0.94 ||#
% 0.78/0.94
% 0.78/0.94 ; Summary of computation:
% 0.78/0.94 ; 8856 formulas have been input or derived (from 275 formulas).
% 0.78/0.94 ; 2850 (32%) were retained. Of these,
% 0.78/0.94 ; 53 ( 2%) were simplified or subsumed later,
% 0.78/0.94 ; 2797 (98%) are still being kept.
% 0.78/0.94 ;
% 0.78/0.94 ; Run time in seconds:
% 0.78/0.94 ; 0.007 1% Read assertion file (1 call)
% 0.78/0.94 ; 0.002 0% Assert (40 calls)
% 0.78/0.94 ; 0.136 29% Process new row (8,494 calls)
% 0.78/0.94 ; 0.146 31% Resolution (548 calls)
% 0.78/0.94 ; 0.009 2% Paramodulation (274 calls)
% 0.78/0.94 ; 0.000 0% Factoring (9 calls)
% 0.78/0.94 ; 0.002 0% Condensing (314 calls)
% 0.78/0.94 ; 0.008 2% Forward subsumption (314 calls)
% 0.78/0.94 ; 0.001 0% Backward subsumption (170 calls)
% 0.78/0.94 ; 0.002 0% Clause clause subsumption (203 calls)
% 0.78/0.94 ; 0.069 15% Forward simplification (8,473 calls)
% 0.78/0.94 ; 0.029 6% Backward simplification (2,850 calls)
% 0.78/0.94 ; 0.000 0% Ordering (432 calls)
% 0.78/0.94 ; 0.001 0% Sortal reasoning (32 calls)
% 0.78/0.94 ; 0.001 0% Purity testing (1 call)
% 0.78/0.94 ; 0.057 12% Other
% 0.78/0.94 ; 0.470 Total
% 0.78/0.94 ; 0.471 Real time
% 0.78/0.94 ;
% 0.78/0.94 ; Term-hash-array has 4,954 terms in all.
% 0.78/0.94 ; Feature-vector-row-index has 168 entries (168 at peak, 170 added, 2 deleted).
% 0.78/0.94 ; Feature-vector-row-index has 652 nodes (652 at peak, 667 added, 15 deleted).
% 0.78/0.94 ; Retrieved 292 possibly forward subsuming rows in 314 calls.
% 0.78/0.94 ; Retrieved 18 possibly backward subsumed rows in 170 calls.
% 0.78/0.94 ; Path-index has 4,865 entries (4,865 at peak, 4,961 added, 96 deleted).
% 0.78/0.94 ; Path-index has 3,239 nodes (3,239 at peak, 3,255 added, 16 deleted).
% 0.78/0.94 ; Trie-index has 4,865 entries (4,865 at peak, 4,961 added, 96 deleted).
% 0.78/0.94 ; Trie-index has 10,379 nodes (10,379 at peak, 10,509 added, 130 deleted).
% 0.78/0.94 ; Retrieved 10,195 generalization terms in 13,166 calls.
% 0.78/0.94 ; Retrieved 3,003 instance terms in 2,679 calls.
% 0.78/0.94 ; Retrieved 156,626 unifiable terms in 7,223 calls.
% 0.78/0.94 ;
% 0.78/0.94 ; The agenda of rows to process has 31 entries:
% 0.78/0.94 ; 3 with value 9 10 with value 15 1 with value 22
% 0.78/0.94 ; 4 with value 12 1 with value 16 6 with value 28
% 0.78/0.94 ; 5 with value 14 1 with value 18
% 0.78/0.94 ; The agenda of rows to give has 2531 entries:
% 0.78/0.94 ; 145 with value (4 11) 695 with value (4 15) 107 with value (4 18)
% 0.78/0.94 ; 246 with value (4 12) 546 with value (4 16) 1 with value (4 19)
% 0.78/0.94 ; 266 with value (4 13) 215 with value (4 17) 3 with value (4 22)
% 0.78/0.94 ; 307 with value (4 14)
% 0.78/0.94 Evaluation took:
% 0.78/0.94 0.472 seconds of real time
% 0.78/0.94 0.421145 seconds of user run time
% 0.78/0.94 0.050012 seconds of system run time
% 0.78/0.94 [Run times include 0.031 seconds GC run time.]
% 0.78/0.94 0 calls to %EVAL
% 0.78/0.94 0 page faults and
% 0.78/0.94 31,971,456 bytes consed.
% 0.78/0.94 :PROOF-FOUND
% 0.78/0.94 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T11:25:10
% 0.78/0.94 :PROOF-FOUND
% 0.78/0.94 *
%------------------------------------------------------------------------------