TSTP Solution File: GRP639+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP639+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 : Sat Jul 16 11:39:55 EDT 2022
% Result : Theorem 4.10s 4.27s
% Output : Refutation 4.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 17
% Syntax : Number of clauses : 27 ( 19 unt; 3 nHn; 25 RR)
% Number of literals : 53 ( 3 equ; 28 neg)
% Maximal clause size : 9 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-4 aty)
% Number of variables : 26 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
~ v3_struct_0('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_latsubgr) ).
cnf(2,negated_conjecture,
v3_group_1('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_latsubgr) ).
cnf(3,negated_conjecture,
v4_group_1('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_latsubgr) ).
cnf(4,negated_conjecture,
l1_group_1('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_latsubgr) ).
cnf(9,negated_conjecture,
v1_funct_1('SKOLEMAAAV3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_latsubgr) ).
cnf(10,negated_conjecture,
v1_funct_2('SKOLEMAAAV3',u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_latsubgr) ).
cnf(11,negated_conjecture,
m2_relset_1('SKOLEMAAAV3',u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_latsubgr) ).
cnf(12,negated_conjecture,
m1_subset_1('SKOLEMAAAV4',k1_zfmisc_1(u1_struct_0('SKOLEMAAAV1'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_latsubgr) ).
cnf(13,negated_conjecture,
~ r1_tarski(k2_funct_2(u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2'),'SKOLEMAAAV3','SKOLEMAAAV4'),k2_funct_2(u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2'),'SKOLEMAAAV3',u1_struct_0(k5_group_4('SKOLEMAAAV1','SKOLEMAAAV4')))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_latsubgr) ).
cnf(17,axiom,
( ~ m1_subset_1(X,k1_zfmisc_1(k2_zfmisc_1(Y,Z)))
| v1_relat_1(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
cnf(20,axiom,
( v3_struct_0(X)
| ~ v3_group_1(X)
| ~ v4_group_1(X)
| ~ l1_group_1(X)
| ~ m1_subset_1(Y,k1_zfmisc_1(u1_struct_0(X)))
| ~ v1_group_1(Z)
| ~ m1_group_2(Z,X)
| Z != k5_group_4(X,Y)
| r1_tarski(Y,u1_struct_0(Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_group_4) ).
cnf(29,axiom,
( v3_struct_0(X)
| ~ v3_group_1(X)
| ~ v4_group_1(X)
| ~ l1_group_1(X)
| ~ m1_subset_1(Y,k1_zfmisc_1(u1_struct_0(X)))
| v1_group_1(k5_group_4(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_group_4) ).
cnf(30,axiom,
( v3_struct_0(X)
| ~ v3_group_1(X)
| ~ v4_group_1(X)
| ~ l1_group_1(X)
| ~ m1_subset_1(Y,k1_zfmisc_1(u1_struct_0(X)))
| m1_group_2(k5_group_4(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_group_4) ).
cnf(35,axiom,
( ~ m2_relset_1(X,Y,Z)
| m1_subset_1(X,k1_zfmisc_1(k2_zfmisc_1(Y,Z))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
cnf(68,axiom,
( ~ v1_funct_1(X)
| ~ v1_funct_2(X,Y,Z)
| ~ m1_relset_1(X,Y,Z)
| k2_funct_2(Y,Z,X,U) = k9_relat_1(X,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_funct_2) ).
cnf(69,axiom,
( ~ m2_relset_1(X,Y,Z)
| m1_relset_1(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
cnf(72,axiom,
( ~ v1_relat_1(X)
| ~ r1_tarski(Y,Z)
| r1_tarski(k9_relat_1(X,Y),k9_relat_1(X,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t156_relat_1) ).
cnf(97,plain,
m1_relset_1('SKOLEMAAAV3',u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2')),
inference('HYPERRESOLVE',[status(thm)],[69,11]) ).
cnf(123,plain,
m1_subset_1('SKOLEMAAAV3',k1_zfmisc_1(k2_zfmisc_1(u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2')))),
inference('HYPERRESOLVE',[status(thm)],[35,11]) ).
cnf(148,plain,
v1_group_1(k5_group_4('SKOLEMAAAV1','SKOLEMAAAV4')),
inference('UR-RESOLVE',[status(thm)],[29,1,2,3,4,12]) ).
cnf(155,plain,
m1_group_2(k5_group_4('SKOLEMAAAV1','SKOLEMAAAV4'),'SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[30,1,2,3,4,12]) ).
cnf(532,plain,
r1_tarski('SKOLEMAAAV4',u1_struct_0(k5_group_4('SKOLEMAAAV1','SKOLEMAAAV4'))),
inference('UR-RESOLVE',[status(thm)],[20,155,1,2,3,4,12,148,theory(equality)]) ).
cnf(577,plain,
k2_funct_2(u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2'),'SKOLEMAAAV3',X) = k9_relat_1('SKOLEMAAAV3',X),
inference('HYPERRESOLVE',[status(thm)],[68,97,9,10]) ).
cnf(578,plain,
~ r1_tarski(k9_relat_1('SKOLEMAAAV3','SKOLEMAAAV4'),k9_relat_1('SKOLEMAAAV3',u1_struct_0(k5_group_4('SKOLEMAAAV1','SKOLEMAAAV4')))),
inference('REWRITE',[status(thm)],[13,577,theory(equality)]) ).
cnf(21884,plain,
~ v1_relat_1('SKOLEMAAAV3'),
inference('UR-RESOLVE',[status(thm)],[72,532,578]) ).
cnf(21892,plain,
~ m1_subset_1('SKOLEMAAAV3',k1_zfmisc_1(k2_zfmisc_1(X,Y))),
inference('UR-RESOLVE',[status(thm)],[17,21884]) ).
cnf(21893,plain,
$false,
inference('REWRITE',[status(thm)],[123,21892]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP639+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n021.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 : Mon Jun 13 11:44:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-13T11:44:27
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-13T11:44:27
% 4.10/4.27
% 4.10/4.27
% 4.10/4.27 #||
% 4.10/4.27 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.10/4.27 % SZS output start Refutation
% See solution above
% 4.10/4.27 ||#
% 4.10/4.27
% 4.10/4.27 ; Summary of computation:
% 4.10/4.27 ; 22608 formulas have been input or derived (from 290 formulas).
% 4.10/4.27 ; 21893 (97%) were retained. Of these,
% 4.10/4.27 ; 13 ( 0%) were simplified or subsumed later,
% 4.10/4.27 ; 21880 (100%) are still being kept.
% 4.10/4.27 ;
% 4.10/4.27 ; Run time in seconds excluding printing time:
% 4.10/4.27 ; 0.012 0% Read assertion file (1 call)
% 4.10/4.27 ; 0.003 0% Assert (54 calls)
% 4.10/4.27 ; 1.319 35% Process new row (22,468 calls)
% 4.10/4.27 ; 1.949 51% Resolution (578 calls)
% 4.10/4.27 ; 0.001 0% Paramodulation (289 calls)
% 4.10/4.27 ; 0.000 0% Factoring (4 calls)
% 4.10/4.27 ; 0.000 0% Condensing (75 calls)
% 4.10/4.27 ; 0.002 0% Forward subsumption (75 calls)
% 4.10/4.27 ; 0.003 0% Backward subsumption (72 calls)
% 4.10/4.27 ; 0.000 0% Clause clause subsumption (11 calls)
% 4.10/4.27 ; 0.185 5% Forward simplification (22,460 calls)
% 4.10/4.27 ; 0.219 6% Backward simplification (21,893 calls)
% 4.10/4.27 ; 0.000 0% Ordering (186 calls)
% 4.10/4.27 ; 0.000 0% Sortal reasoning (32 calls)
% 4.10/4.27 ; 0.000 0% Purity testing (1 call)
% 4.10/4.27 ; 0.116 3% Other
% 4.10/4.27 ; 3.809 Total
% 4.10/4.27 ; 3.812 Real time
% 4.10/4.28 ;
% 4.10/4.28 ; Term-hash-array has 43,404 terms in all.
% 4.10/4.28 ; Feature-vector-row-index has 68 entries (68 at peak, 72 added, 4 deleted).
% 4.10/4.28 ; Feature-vector-row-index has 376 nodes (376 at peak, 415 added, 39 deleted).
% 4.10/4.28 ; Retrieved 7 possibly forward subsuming rows in 75 calls.
% 4.10/4.28 ; Retrieved 6 possibly backward subsumed rows in 72 calls.
% 4.10/4.28 ; Path-index has 43,401 entries (43,403 at peak, 43,422 added, 21 deleted).
% 4.10/4.28 ; Path-index has 4,714 nodes (4,714 at peak, 4,755 added, 41 deleted).
% 4.10/4.28 ; Trie-index has 43,401 entries (43,403 at peak, 43,422 added, 21 deleted).
% 4.10/4.28 ; Trie-index has 91,403 nodes (91,409 at peak, 91,499 added, 96 deleted).
% 4.10/4.28 ; Retrieved 1,102 generalization terms in 22,787 calls.
% 4.10/4.28 ; Retrieved 21,844 instance terms in 21,820 calls.
% 4.10/4.28 ; Retrieved 3,763,882 unifiable terms in 306,218 calls.
% 4.10/4.28 ;
% 4.10/4.28 ; The agenda of rows to give has 21596 entries:
% 4.10/4.28 ; 36 with value (4 11) 2930 with value (4 17) 1 with value (4 23)
% 4.10/4.28 ; 216 with value (4 12) 6352 with value (4 18) 2 with value (4 24)
% 4.10/4.28 ; 165 with value (4 13) 7095 with value (4 19) 7 with value (4 25)
% 4.10/4.28 ; 469 with value (4 14) 150 with value (4 20) 7 with value (4 26)
% 4.10/4.28 ; 1376 with value (4 15) 50 with value (4 21) 3 with value (4 27)
% 4.10/4.28 ; 2735 with value (4 16) 2 with value (4 22)
% 4.10/4.28 Evaluation took:
% 4.10/4.28 3.814 seconds of real time
% 4.10/4.28 3.604315 seconds of user run time
% 4.10/4.28 0.209768 seconds of system run time
% 4.10/4.28 [Run times include 0.635 seconds GC run time.]
% 4.10/4.28 0 calls to %EVAL
% 4.10/4.28 0 page faults and
% 4.10/4.28 305,082,376 bytes consed.
% 4.10/4.28 :PROOF-FOUND
% 4.10/4.28 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T11:44:31
% 4.10/4.28 :PROOF-FOUND
% 4.10/4.28 *
%------------------------------------------------------------------------------