%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU172+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 8 RR)
% Number of literals : 11 ( 3 equ; 4 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 : 6 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(18,axiom,
( ~ element(X,powerset(Y))
| subset_complement(Y,X) = set_difference(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_subset_1) ).
cnf(19,negated_conjecture,
element('SKOLEMAAAV8',powerset('SKOLEMAAAV6')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_subset_1) ).
cnf(20,negated_conjecture,
in('SKOLEMAAAV7',subset_complement('SKOLEMAAAV6','SKOLEMAAAV8')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_subset_1) ).
cnf(21,negated_conjecture,
in('SKOLEMAAAV7','SKOLEMAAAV8'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_subset_1) ).
cnf(23,axiom,
( X != set_difference(Y,Z)
| ~ in(U,X)
| ~ in(U,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
cnf(44,plain,
subset_complement('SKOLEMAAAV6','SKOLEMAAAV8') = set_difference('SKOLEMAAAV6','SKOLEMAAAV8'),
inference('HYPERRESOLVE',[status(thm)],[18,19]) ).
cnf(45,plain,
in('SKOLEMAAAV7',set_difference('SKOLEMAAAV6','SKOLEMAAAV8')),
inference('REWRITE',[status(thm)],[20,44,theory(equality)]) ).
cnf(57,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[23,45,21,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SEU172+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n019.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 : Mon Jun 20 01:31:24 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 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T01:31:24
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-20T01:31:24
% 0.21/0.50
% 0.21/0.52 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.21/0.52
% 0.21/0.52 #||
% 0.21/0.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.52 % SZS output start Refutation
% See solution above
% 0.21/0.52 ||#
% 0.21/0.52
% 0.21/0.52 ; Summary of computation:
% 0.21/0.52 ; 102 formulas have been input or derived (from 25 formulas).
% 0.21/0.52 ; 57 (56%) were retained. Of these,
% 0.21/0.52 ; 9 (16%) were simplified or subsumed later,
% 0.21/0.52 ; 48 (84%) are still being kept.
% 0.21/0.52 ;
% 0.21/0.52 ; Run time in seconds:
% 0.21/0.52 ; 0.003 8% Read assertion file (1 call)
% 0.21/0.53 ; 0.002 5% Assert (22 calls)
% 0.21/0.53 ; 0.003 8% Process new row (75 calls)
% 0.21/0.53 ; 0.002 5% Resolution (48 calls)
% 0.21/0.53 ; 0.001 3% Paramodulation (24 calls)
% 0.21/0.53 ; 0.000 0% Factoring (1 call)
% 0.21/0.53 ; 0.000 0% Condensing (19 calls)
% 0.21/0.53 ; 0.001 3% Forward subsumption (19 calls)
% 0.21/0.53 ; 0.001 3% Backward subsumption (19 calls)
% 0.21/0.53 ; 0.000 0% Clause clause subsumption (6 calls)
% 0.21/0.53 ; 0.001 3% Forward simplification (74 calls)
% 0.21/0.53 ; 0.001 3% Backward simplification (57 calls)
% 0.21/0.53 ; 0.000 0% Ordering (34 calls)
% 0.21/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.53 ; 0.000 0% Purity testing (1 call)
% 0.21/0.53 ; 0.023 61% Other
% 0.21/0.53 ; 0.038 Total
% 0.21/0.53 ; 0.039 Real time
% 0.21/0.53 ;
% 0.21/0.53 ; Term-hash-array has 85 terms in all.
% 0.21/0.53 ; Feature-vector-row-index has 19 entries (19 at peak, 19 added, 0 deleted).
% 0.21/0.53 ; Feature-vector-row-index has 64 nodes (64 at peak, 64 added, 0 deleted).
% 0.21/0.53 ; Retrieved 3 possibly forward subsuming rows in 19 calls.
% 0.21/0.53 ; Retrieved 3 possibly backward subsumed rows in 19 calls.
% 0.21/0.53 ; Path-index has 82 entries (82 at peak, 91 added, 9 deleted).
% 0.21/0.53 ; Path-index has 195 nodes (195 at peak, 208 added, 13 deleted).
% 0.21/0.53 ; Trie-index has 82 entries (82 at peak, 91 added, 9 deleted).
% 0.21/0.53 ; Trie-index has 186 nodes (186 at peak, 215 added, 29 deleted).
% 0.21/0.53 ; Retrieved 16 generalization terms in 96 calls.
% 0.21/0.53 ; Retrieved 47 instance terms in 37 calls.
% 0.21/0.53 ; Retrieved 588 unifiable terms in 173 calls.
% 0.21/0.53 ;
% 0.21/0.53 ; The agenda of rows to process has 15 entries:
% 0.21/0.53 ; 5 with value 5 1 with value 10 3 with value 13
% 0.21/0.53 ; 2 with value 8 3 with value 11 1 with value 14
% 0.21/0.53 ; The agenda of input rows to give has 5 entries:
% 0.21/0.53 ; 1 with value 16 2 with value 23 1 with value 31
% 0.21/0.53 ; 1 with value 19
% 0.21/0.53 ; The agenda of rows to give has 22 entries:
% 0.21/0.53 ; 1 with value (4 4) 4 with value (4 8) 2 with value (4 13)
% 0.21/0.53 ; 4 with value (4 5) 2 with value (4 9) 1 with value (4 14)
% 0.21/0.53 ; 1 with value (4 6) 1 with value (4 10) 2 with value (4 16)
% 0.21/0.53 ; 3 with value (4 7) 1 with value (4 11)
% 0.21/0.53 Evaluation took:
% 0.21/0.53 0.039 seconds of real time
% 0.21/0.53 0.031649 seconds of user run time
% 0.21/0.53 0.007877 seconds of system run time
% 0.21/0.53 0 calls to %EVAL
% 0.21/0.53 0 page faults and
% 0.21/0.53 2,177,976 bytes consed.
% 0.21/0.53 :PROOF-FOUND
% 0.21/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T01:31:24
% 0.21/0.53 :PROOF-FOUND
% 0.21/0.53 *
%------------------------------------------------------------------------------