TSTP Solution File: ALG227+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG227+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 : Thu Jul 14 18:00:18 EDT 2022
% Result : Theorem 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 10 ( 8 unt; 2 nHn; 10 RR)
% Number of literals : 18 ( 6 equ; 9 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
~ v1_xboole_0('SKOLEMAAAW1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_closure3) ).
cnf(2,negated_conjecture,
m1_pboole('SKOLEMAAAW2','SKOLEMAAAW1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_closure3) ).
cnf(3,negated_conjecture,
m1_subset_1('SKOLEMAAAW3','SKOLEMAAAW1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_closure3) ).
cnf(4,negated_conjecture,
~ r2_hidden('SKOLEMAAAW3',k1_closure3('SKOLEMAAAW1','SKOLEMAAAW2')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_closure3) ).
cnf(5,negated_conjecture,
k1_funct_1('SKOLEMAAAW2','SKOLEMAAAW3') != k1_xboole_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_closure3) ).
cnf(7,axiom,
( v1_xboole_0(X)
| ~ m1_pboole(Y,X)
| Z != k1_closure3(X,Y)
| Z = a_2_0_closure3(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_closure3) ).
cnf(15,axiom,
( v1_xboole_0(X)
| ~ m1_pboole(Y,X)
| r2_hidden(Z,a_2_0_closure3(X,Y))
| ~ m1_subset_1(U,X)
| Z != U
| k1_funct_1(Y,U) = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_2_0_closure3) ).
cnf(42,plain,
k1_closure3('SKOLEMAAAW1','SKOLEMAAAW2') = a_2_0_closure3('SKOLEMAAAW1','SKOLEMAAAW2'),
inference('UR-RESOLVE',[status(thm)],[7,1,2,theory(equality)]) ).
cnf(43,plain,
~ r2_hidden('SKOLEMAAAW3',a_2_0_closure3('SKOLEMAAAW1','SKOLEMAAAW2')),
inference('REWRITE',[status(thm)],[4,42,theory(equality)]) ).
cnf(56,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[15,1,2,43,3,5,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG227+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n026.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 : Wed Jun 8 09:23:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T09:23:17
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-08T09:23:17
% 0.18/0.48 WARNING:
% 0.18/0.48 |v1_fraenkel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.48 WARNING:
% 0.18/0.48 |v1_finset_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.48 WARNING:
% 0.18/0.48 |v2_funct_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.48 WARNING:
% 0.18/0.48 |v1_funct_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.48 WARNING:
% 0.18/0.48 |v1_relat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.51
% 0.18/0.51
% 0.18/0.51 #||
% 0.18/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.51 % SZS output start Refutation
% See solution above
% 0.18/0.51 ||#
% 0.18/0.51
% 0.18/0.51 ; Summary of computation:
% 0.18/0.51 ; 114 formulas have been input or derived (from 29 formulas).
% 0.18/0.51 ; 56 (49%) were retained. Of these,
% 0.18/0.51 ; 4 ( 7%) were simplified or subsumed later,
% 0.18/0.51 ; 52 (93%) are still being kept.
% 0.18/0.51 ;
% 0.18/0.51 ; Run time in seconds excluding printing time:
% 0.18/0.51 ; 0.006 14% Read assertion file (1 call)
% 0.18/0.51 ; 0.002 5% Assert (29 calls)
% 0.18/0.51 ; 0.007 16% Process new row (100 calls)
% 0.18/0.51 ; 0.002 5% Resolution (56 calls)
% 0.18/0.51 ; 0.000 0% Paramodulation (28 calls)
% 0.18/0.51 ; 0.000 0% Factoring (1 call)
% 0.18/0.51 ; 0.001 2% Condensing (31 calls)
% 0.18/0.51 ; 0.000 0% Forward subsumption (31 calls)
% 0.18/0.51 ; 0.000 0% Backward subsumption (28 calls)
% 0.18/0.51 ; 0.001 2% Clause clause subsumption (26 calls)
% 0.18/0.51 ; 0.002 5% Forward simplification (78 calls)
% 0.18/0.51 ; 0.000 0% Backward simplification (56 calls)
% 0.18/0.51 ; 0.001 2% Ordering (81 calls)
% 0.18/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.51 ; 0.000 0% Purity testing (1 call)
% 0.18/0.51 ; 0.022 50% Other
% 0.18/0.51 ; 0.044 Total
% 0.18/0.51 ; 0.048 Real time
% 0.18/0.51 ;
% 0.18/0.51 ; Term-hash-array has 104 terms in all.
% 0.18/0.51 ; Feature-vector-row-index has 28 entries (28 at peak, 28 added, 0 deleted).
% 0.18/0.51 ; Feature-vector-row-index has 114 nodes (114 at peak, 114 added, 0 deleted).
% 0.18/0.51 ; Retrieved 18 possibly forward subsuming rows in 31 calls.
% 0.18/0.51 ; Retrieved 8 possibly backward subsumed rows in 28 calls.
% 0.18/0.51 ; Path-index has 109 entries (109 at peak, 113 added, 4 deleted).
% 0.18/0.51 ; Path-index has 332 nodes (332 at peak, 337 added, 5 deleted).
% 0.18/0.51 ; Trie-index has 109 entries (109 at peak, 113 added, 4 deleted).
% 0.18/0.51 ; Trie-index has 350 nodes (350 at peak, 356 added, 6 deleted).
% 0.18/0.51 ; Retrieved 18 generalization terms in 146 calls.
% 0.18/0.51 ; Retrieved 27 instance terms in 27 calls.
% 0.18/0.51 ; Retrieved 1,291 unifiable terms in 308 calls.
% 0.18/0.51 ;
% 0.18/0.51 ; The agenda of rows to process has 10 entries:
% 0.18/0.51 ; 1 with value 4 1 with value 18 1 with value 22
% 0.18/0.51 ; 3 with value 5 1 with value 21 1 with value 24
% 0.18/0.51 ; 2 with value 8
% 0.18/0.51 ; The agenda of rows to give has 27 entries:
% 0.18/0.51 ; 5 with value (4 5) 3 with value (4 13) 2 with value (4 36)
% 0.18/0.51 ; 4 with value (4 7) 1 with value (4 16) 2 with value (4 42)
% 0.18/0.51 ; 2 with value (4 10) 2 with value (4 19) 2 with value (4 47)
% 0.18/0.51 ; 2 with value (4 12) 2 with value (4 32)
% 0.18/0.51 Evaluation took:
% 0.18/0.51 0.049 seconds of real time
% 0.18/0.51 0.041684 seconds of user run time
% 0.18/0.51 0.00535 seconds of system run time
% 0.18/0.51 0 calls to %EVAL
% 0.18/0.51 0 page faults and
% 0.18/0.51 2,652,800 bytes consed.
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T09:23:17
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 *
%------------------------------------------------------------------------------