TSTP Solution File: LAT294+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT294+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 : Sun Jul 17 06:43:31 EDT 2022
% Result : Theorem 0.76s 0.98s
% Output : Refutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 24
% Syntax : Number of clauses : 29 ( 24 unt; 2 nHn; 29 RR)
% Number of literals : 87 ( 6 equ; 57 neg)
% Maximal clause size : 19 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
~ v1_xboole_0('SKOLEMAAAV1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_filter_2) ).
cnf(2,negated_conjecture,
~ v1_xboole_0('SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_filter_2) ).
cnf(3,negated_conjecture,
m1_subset_1('SKOLEMAAAV2',k1_zfmisc_1('SKOLEMAAAV1')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_filter_2) ).
cnf(4,negated_conjecture,
v1_funct_1('SKOLEMAAAV3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_filter_2) ).
cnf(5,negated_conjecture,
v1_funct_2('SKOLEMAAAV3',k2_zfmisc_1('SKOLEMAAAV1','SKOLEMAAAV1'),'SKOLEMAAAV1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_filter_2) ).
cnf(6,negated_conjecture,
m2_relset_1('SKOLEMAAAV3',k2_zfmisc_1('SKOLEMAAAV1','SKOLEMAAAV1'),'SKOLEMAAAV1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_filter_2) ).
cnf(7,negated_conjecture,
v1_funct_1('SKOLEMAAAV4'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_filter_2) ).
cnf(8,negated_conjecture,
v1_funct_2('SKOLEMAAAV4',k2_zfmisc_1('SKOLEMAAAV1','SKOLEMAAAV1'),'SKOLEMAAAV1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_filter_2) ).
cnf(9,negated_conjecture,
m2_relset_1('SKOLEMAAAV4',k2_zfmisc_1('SKOLEMAAAV1','SKOLEMAAAV1'),'SKOLEMAAAV1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_filter_2) ).
cnf(10,negated_conjecture,
v1_funct_1('SKOLEMAAAV5'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_filter_2) ).
cnf(11,negated_conjecture,
v1_funct_2('SKOLEMAAAV5',k2_zfmisc_1('SKOLEMAAAV2','SKOLEMAAAV2'),'SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_filter_2) ).
cnf(12,negated_conjecture,
m2_relset_1('SKOLEMAAAV5',k2_zfmisc_1('SKOLEMAAAV2','SKOLEMAAAV2'),'SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_filter_2) ).
cnf(13,negated_conjecture,
v1_funct_1('SKOLEMAAAV6'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_filter_2) ).
cnf(14,negated_conjecture,
v1_funct_2('SKOLEMAAAV6',k2_zfmisc_1('SKOLEMAAAV2','SKOLEMAAAV2'),'SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_filter_2) ).
cnf(15,negated_conjecture,
m2_relset_1('SKOLEMAAAV6',k2_zfmisc_1('SKOLEMAAAV2','SKOLEMAAAV2'),'SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_filter_2) ).
cnf(16,negated_conjecture,
'SKOLEMAAAV5' = k1_realset1('SKOLEMAAAV3','SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_filter_2) ).
cnf(17,negated_conjecture,
'SKOLEMAAAV6' = k1_realset1('SKOLEMAAAV4','SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_filter_2) ).
cnf(18,negated_conjecture,
r6_binop_1('SKOLEMAAAV1','SKOLEMAAAV3','SKOLEMAAAV4'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_filter_2) ).
cnf(19,negated_conjecture,
~ r6_binop_1('SKOLEMAAAV2','SKOLEMAAAV5','SKOLEMAAAV6'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_filter_2) ).
cnf(23,axiom,
( ~ v1_funct_1(X)
| ~ v1_funct_2(X,k2_zfmisc_1(Y,Y),Y)
| ~ m2_relset_1(X,k2_zfmisc_1(Y,Y),Y)
| ~ v1_funct_1(Z)
| ~ v1_funct_2(Z,k2_zfmisc_1(Y,Y),Y)
| ~ m2_relset_1(Z,k2_zfmisc_1(Y,Y),Y)
| ~ r6_binop_1(Y,X,Z)
| r4_binop_1(Y,X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_binop_1) ).
cnf(24,axiom,
( ~ v1_funct_1(X)
| ~ v1_funct_2(X,k2_zfmisc_1(Y,Y),Y)
| ~ m2_relset_1(X,k2_zfmisc_1(Y,Y),Y)
| ~ v1_funct_1(Z)
| ~ v1_funct_2(Z,k2_zfmisc_1(Y,Y),Y)
| ~ m2_relset_1(Z,k2_zfmisc_1(Y,Y),Y)
| ~ r6_binop_1(Y,X,Z)
| r5_binop_1(Y,X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_binop_1) ).
cnf(25,axiom,
( ~ v1_funct_1(X)
| ~ v1_funct_2(X,k2_zfmisc_1(Y,Y),Y)
| ~ m2_relset_1(X,k2_zfmisc_1(Y,Y),Y)
| ~ v1_funct_1(Z)
| ~ v1_funct_2(Z,k2_zfmisc_1(Y,Y),Y)
| ~ m2_relset_1(Z,k2_zfmisc_1(Y,Y),Y)
| r6_binop_1(Y,X,Z)
| ~ r4_binop_1(Y,X,Z)
| ~ r5_binop_1(Y,X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_binop_1) ).
cnf(56,axiom,
( v1_xboole_0(X)
| v1_xboole_0(Y)
| ~ m1_subset_1(Y,k1_zfmisc_1(X))
| ~ v1_funct_1(Z)
| ~ v1_funct_2(Z,k2_zfmisc_1(X,X),X)
| ~ m2_relset_1(Z,k2_zfmisc_1(X,X),X)
| ~ v1_funct_1(U)
| ~ v1_funct_2(U,k2_zfmisc_1(X,X),X)
| ~ m2_relset_1(U,k2_zfmisc_1(X,X),X)
| ~ v1_funct_1(V)
| ~ v1_funct_2(V,k2_zfmisc_1(Y,Y),Y)
| ~ m2_relset_1(V,k2_zfmisc_1(Y,Y),Y)
| ~ v1_funct_1(W)
| ~ v1_funct_2(W,k2_zfmisc_1(Y,Y),Y)
| ~ m2_relset_1(W,k2_zfmisc_1(Y,Y),Y)
| V != k1_realset1(Z,Y)
| W != k1_realset1(U,Y)
| ~ r4_binop_1(X,Z,U)
| r4_binop_1(Y,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_filter_2) ).
cnf(57,axiom,
( v1_xboole_0(X)
| v1_xboole_0(Y)
| ~ m1_subset_1(Y,k1_zfmisc_1(X))
| ~ v1_funct_1(Z)
| ~ v1_funct_2(Z,k2_zfmisc_1(X,X),X)
| ~ m2_relset_1(Z,k2_zfmisc_1(X,X),X)
| ~ v1_funct_1(U)
| ~ v1_funct_2(U,k2_zfmisc_1(X,X),X)
| ~ m2_relset_1(U,k2_zfmisc_1(X,X),X)
| ~ v1_funct_1(V)
| ~ v1_funct_2(V,k2_zfmisc_1(Y,Y),Y)
| ~ m2_relset_1(V,k2_zfmisc_1(Y,Y),Y)
| ~ v1_funct_1(W)
| ~ v1_funct_2(W,k2_zfmisc_1(Y,Y),Y)
| ~ m2_relset_1(W,k2_zfmisc_1(Y,Y),Y)
| V != k1_realset1(Z,Y)
| W != k1_realset1(U,Y)
| ~ r5_binop_1(X,Z,U)
| r5_binop_1(Y,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_filter_2) ).
cnf(138,plain,
r4_binop_1('SKOLEMAAAV1','SKOLEMAAAV3','SKOLEMAAAV4'),
inference('HYPERRESOLVE',[status(thm)],[23,4,5,6,7,8,9,18]) ).
cnf(139,plain,
r5_binop_1('SKOLEMAAAV1','SKOLEMAAAV3','SKOLEMAAAV4'),
inference('HYPERRESOLVE',[status(thm)],[24,4,5,6,7,8,9,18]) ).
cnf(192,plain,
r4_binop_1('SKOLEMAAAV2','SKOLEMAAAV5','SKOLEMAAAV6'),
inference('UR-RESOLVE',[status(thm)],[56,138,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17]) ).
cnf(193,plain,
r5_binop_1('SKOLEMAAAV2','SKOLEMAAAV5','SKOLEMAAAV6'),
inference('UR-RESOLVE',[status(thm)],[57,139,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17]) ).
cnf(466,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[25,192,10,11,12,13,14,15,19]),193]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : LAT294+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 29 07:44:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-29T07:44:31
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-29T07:44:31
% 0.19/0.48 WARNING:
% 0.19/0.48 |v2_funct_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.76/0.98
% 0.76/0.98
% 0.76/0.98 #||
% 0.76/0.98 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.76/0.98 % SZS output start Refutation
% See solution above
% 0.76/0.98 ||#
% 0.76/0.98
% 0.76/0.98 ; Summary of computation:
% 0.76/0.98 ; 621 formulas have been input or derived (from 105 formulas).
% 0.76/0.98 ; 466 (75%) were retained. Of these,
% 0.76/0.98 ; 9 ( 2%) were simplified or subsumed later,
% 0.76/0.98 ; 457 (98%) are still being kept.
% 0.76/0.98 ;
% 0.76/0.98 ; Run time in seconds excluding printing time:
% 0.76/0.98 ; 0.010 2% Read assertion file (1 call)
% 0.76/0.98 ; 0.003 1% Assert (42 calls)
% 0.76/0.98 ; 0.026 5% Process new row (578 calls)
% 0.76/0.98 ; 0.454 86% Resolution (208 calls)
% 0.76/0.98 ; 0.000 0% Paramodulation (104 calls)
% 0.76/0.98 ; 0.000 0% Factoring (1 call)
% 0.76/0.98 ; 0.004 1% Condensing (42 calls)
% 0.76/0.98 ; 0.002 0% Forward subsumption (42 calls)
% 0.76/0.98 ; 0.000 0% Backward subsumption (40 calls)
% 0.76/0.98 ; 0.000 0% Clause clause subsumption (12 calls)
% 0.76/0.98 ; 0.003 1% Forward simplification (574 calls)
% 0.76/0.98 ; 0.002 0% Backward simplification (466 calls)
% 0.76/0.98 ; 0.000 0% Ordering (60 calls)
% 0.76/0.98 ; 0.000 0% Sortal reasoning (32 calls)
% 0.76/0.98 ; 0.000 0% Purity testing (1 call)
% 0.76/0.98 ; 0.021 4% Other
% 0.76/0.98 ; 0.525 Total
% 0.76/0.98 ; 0.526 Real time
% 0.76/0.98 ;
% 0.76/0.98 ; Term-hash-array has 867 terms in all.
% 0.76/0.98 ; Feature-vector-row-index has 40 entries (40 at peak, 40 added, 0 deleted).
% 0.76/0.98 ; Feature-vector-row-index has 156 nodes (156 at peak, 156 added, 0 deleted).
% 0.76/0.98 ; Retrieved 7 possibly forward subsuming rows in 42 calls.
% 0.76/0.98 ; Retrieved 6 possibly backward subsumed rows in 40 calls.
% 0.76/0.98 ; Path-index has 870 entries (870 at peak, 879 added, 9 deleted).
% 0.76/0.98 ; Path-index has 716 nodes (716 at peak, 725 added, 9 deleted).
% 0.76/0.98 ; Trie-index has 870 entries (870 at peak, 879 added, 9 deleted).
% 0.76/0.98 ; Trie-index has 1,649 nodes (1,649 at peak, 1,665 added, 16 deleted).
% 0.76/0.98 ; Retrieved 160 generalization terms in 831 calls.
% 0.76/0.98 ; Retrieved 441 instance terms in 425 calls.
% 0.76/0.98 ; Retrieved 274,134 unifiable terms in 127,848 calls.
% 0.76/0.98 ;
% 0.76/0.98 ; The agenda of rows to give has 358 entries:
% 0.76/0.98 ; 1 with value (4 7) 95 with value (4 11) 1 with value (4 15)
% 0.76/0.98 ; 16 with value (4 8) 76 with value (4 12) 6 with value (4 18)
% 0.76/0.98 ; 18 with value (4 9) 97 with value (4 13) 8 with value (4 104)
% 0.76/0.98 ; 31 with value (4 10) 9 with value (4 14)
% 0.76/0.98 Evaluation took:
% 0.76/0.98 0.527 seconds of real time
% 0.76/0.98 0.512159 seconds of user run time
% 0.76/0.98 0.014906 seconds of system run time
% 0.76/0.98 [Run times include 0.013 seconds GC run time.]
% 0.76/0.98 0 calls to %EVAL
% 0.76/0.98 0 page faults and
% 0.76/0.98 61,463,448 bytes consed.
% 0.76/0.98 :PROOF-FOUND
% 0.76/0.98 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-29T07:44:31
% 0.76/0.98 :PROOF-FOUND
% 0.76/0.98 *
%------------------------------------------------------------------------------