TSTP Solution File: GRP628+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP628+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 11:39:48 EDT 2022
% Result : Theorem 0.93s 1.12s
% Output : Refutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 18
% Syntax : Number of clauses : 30 ( 21 unt; 8 nHn; 30 RR)
% Number of literals : 82 ( 9 equ; 49 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
~ v3_struct_0('SKOLEMAAAV1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_autgroup) ).
cnf(2,negated_conjecture,
v1_group_1('SKOLEMAAAV1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_autgroup) ).
cnf(3,negated_conjecture,
v3_group_1('SKOLEMAAAV1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_autgroup) ).
cnf(4,negated_conjecture,
v4_group_1('SKOLEMAAAV1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_autgroup) ).
cnf(5,negated_conjecture,
l1_group_1('SKOLEMAAAV1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_autgroup) ).
cnf(6,negated_conjecture,
m2_fraenkel('SKOLEMAAAV2',u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV1'),k4_autgroup('SKOLEMAAAV1')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_autgroup) ).
cnf(7,negated_conjecture,
m1_subset_1('SKOLEMAAAV3',u1_struct_0(k5_autgroup('SKOLEMAAAV1'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_autgroup) ).
cnf(8,negated_conjecture,
'SKOLEMAAAV2' = 'SKOLEMAAAV3',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_autgroup) ).
cnf(9,negated_conjecture,
k2_funct_1('SKOLEMAAAV2') != k3_group_1(k5_autgroup('SKOLEMAAAV1'),'SKOLEMAAAV3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_autgroup) ).
cnf(10,plain,
k2_funct_1('SKOLEMAAAV2') != k3_group_1(k5_autgroup('SKOLEMAAAV1'),'SKOLEMAAAV2'),
inference('REWRITE',[status(thm)],[9,8,theory(equality)]) ).
cnf(30,axiom,
( v3_struct_0(X)
| ~ v1_group_1(X)
| ~ v3_group_1(X)
| ~ v4_group_1(X)
| ~ l1_group_1(X)
| ~ v3_struct_0(k3_autgroup(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_autgroup) ).
cnf(32,axiom,
( v3_struct_0(X)
| ~ v1_group_1(X)
| ~ v3_group_1(X)
| ~ v4_group_1(X)
| ~ l1_group_1(X)
| v3_group_1(k3_autgroup(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_autgroup) ).
cnf(33,axiom,
( v3_struct_0(X)
| ~ v1_group_1(X)
| ~ v3_group_1(X)
| ~ v4_group_1(X)
| ~ l1_group_1(X)
| v4_group_1(k3_autgroup(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_autgroup) ).
cnf(34,axiom,
( v3_struct_0(X)
| ~ v1_group_1(X)
| ~ v3_group_1(X)
| ~ v4_group_1(X)
| ~ l1_group_1(X)
| l1_group_1(k3_autgroup(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_autgroup) ).
cnf(38,axiom,
( v3_struct_0(X)
| ~ v1_group_1(X)
| ~ v3_group_1(X)
| ~ v4_group_1(X)
| ~ l1_group_1(X)
| m1_group_2(k5_autgroup(X),k3_autgroup(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_autgroup) ).
cnf(115,axiom,
( v3_struct_0(X)
| ~ v1_group_1(X)
| ~ v3_group_1(X)
| ~ v4_group_1(X)
| ~ l1_group_1(X)
| ~ m2_fraenkel(Y,u1_struct_0(X),u1_struct_0(X),k1_autgroup(X))
| ~ m1_subset_1(Z,u1_struct_0(k3_autgroup(X)))
| Y != Z
| k2_funct_1(Y) = k3_group_1(k3_autgroup(X),Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_autgroup) ).
cnf(116,axiom,
( v3_struct_0(X)
| ~ v1_group_1(X)
| ~ v3_group_1(X)
| ~ v4_group_1(X)
| ~ l1_group_1(X)
| ~ m2_fraenkel(Y,u1_struct_0(X),u1_struct_0(X),k4_autgroup(X))
| m2_fraenkel(Y,u1_struct_0(X),u1_struct_0(X),k1_autgroup(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_autgroup) ).
cnf(122,axiom,
( v3_struct_0(X)
| ~ v3_group_1(X)
| ~ l1_group_1(X)
| ~ m1_group_2(Y,X)
| ~ m1_subset_1(Z,u1_struct_0(Y))
| m1_subset_1(Z,u1_struct_0(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_group_2) ).
cnf(123,axiom,
( v3_struct_0(X)
| ~ v3_group_1(X)
| ~ v4_group_1(X)
| ~ l1_group_1(X)
| ~ m1_subset_1(Y,u1_struct_0(X))
| ~ m1_group_2(Z,X)
| ~ m1_subset_1(U,u1_struct_0(Z))
| U != Y
| k3_group_1(Z,U) = k3_group_1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t57_group_2) ).
cnf(128,plain,
m1_subset_1('SKOLEMAAAV2',u1_struct_0(k5_autgroup('SKOLEMAAAV1'))),
inference('REWRITE',[status(thm)],[7,8,theory(equality)]) ).
cnf(221,plain,
~ v3_struct_0(k3_autgroup('SKOLEMAAAV1')),
inference('UR-RESOLVE',[status(thm)],[30,1,2,3,4,5]) ).
cnf(225,plain,
v3_group_1(k3_autgroup('SKOLEMAAAV1')),
inference('UR-RESOLVE',[status(thm)],[32,1,2,3,4,5]) ).
cnf(227,plain,
v4_group_1(k3_autgroup('SKOLEMAAAV1')),
inference('UR-RESOLVE',[status(thm)],[33,1,2,3,4,5]) ).
cnf(229,plain,
l1_group_1(k3_autgroup('SKOLEMAAAV1')),
inference('UR-RESOLVE',[status(thm)],[34,1,2,3,4,5]) ).
cnf(240,plain,
m1_group_2(k5_autgroup('SKOLEMAAAV1'),k3_autgroup('SKOLEMAAAV1')),
inference('UR-RESOLVE',[status(thm)],[38,1,2,3,4,5]) ).
cnf(259,plain,
m2_fraenkel('SKOLEMAAAV2',u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV1'),k1_autgroup('SKOLEMAAAV1')),
inference('UR-RESOLVE',[status(thm)],[116,1,2,3,4,5,6]) ).
cnf(850,plain,
m1_subset_1('SKOLEMAAAV2',u1_struct_0(k3_autgroup('SKOLEMAAAV1'))),
inference('UR-RESOLVE',[status(thm)],[122,240,221,225,229,128]) ).
cnf(2000,plain,
k3_group_1(k5_autgroup('SKOLEMAAAV1'),'SKOLEMAAAV2') = k3_group_1(k3_autgroup('SKOLEMAAAV1'),'SKOLEMAAAV2'),
inference('UR-RESOLVE',[status(thm)],[123,850,221,225,227,229,240,128,theory(equality)]) ).
cnf(2001,plain,
k2_funct_1('SKOLEMAAAV2') != k3_group_1(k3_autgroup('SKOLEMAAAV1'),'SKOLEMAAAV2'),
inference('REWRITE',[status(thm)],[10,2000,theory(equality)]) ).
cnf(2005,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[115,2001,1,2,3,4,5,850,theory(equality)]),259]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP628+1 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n023.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 14:33:36 EDT 2022
% 0.12/0.34 % 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 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T14:33:36
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-13T14:33:36
% 0.20/0.50 WARNING:
% 0.20/0.50 |v2_group_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50 WARNING:
% 0.20/0.50 |v2_funct_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50 WARNING:
% 0.20/0.50 |v1_group_3| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.93/1.12
% 0.93/1.12
% 0.93/1.12 #||
% 0.93/1.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.93/1.12 % SZS output start Refutation
% See solution above
% 0.93/1.13 ||#
% 0.93/1.13
% 0.93/1.13 ; Summary of computation:
% 0.93/1.13 ; 2827 formulas have been input or derived (from 432 formulas).
% 0.93/1.13 ; 2005 (71%) were retained. Of these,
% 0.93/1.13 ; 18 ( 1%) were simplified or subsumed later,
% 0.93/1.13 ; 1987 (99%) are still being kept.
% 0.93/1.13 ;
% 0.93/1.13 ; Run time in seconds excluding printing time:
% 0.93/1.13 ; 0.019 3% Read assertion file (1 call)
% 0.93/1.13 ; 0.004 1% Assert (77 calls)
% 0.93/1.13 ; 0.102 15% Process new row (2,722 calls)
% 0.93/1.13 ; 0.448 68% Resolution (862 calls)
% 0.93/1.13 ; 0.002 0% Paramodulation (431 calls)
% 0.93/1.13 ; 0.000 0% Factoring (1 call)
% 0.93/1.13 ; 0.003 0% Condensing (89 calls)
% 0.93/1.13 ; 0.002 0% Forward subsumption (89 calls)
% 0.93/1.13 ; 0.004 1% Backward subsumption (87 calls)
% 0.93/1.13 ; 0.000 0% Clause clause subsumption (7 calls)
% 0.93/1.13 ; 0.023 3% Forward simplification (2,703 calls)
% 0.93/1.13 ; 0.007 1% Backward simplification (2,004 calls)
% 0.93/1.13 ; 0.000 0% Ordering (121 calls)
% 0.93/1.13 ; 0.000 0% Sortal reasoning (32 calls)
% 0.93/1.13 ; 0.001 0% Purity testing (1 call)
% 0.93/1.13 ; 0.045 7% Other
% 0.93/1.13 ; 0.660 Total
% 0.93/1.13 ; 0.663 Real time
% 0.93/1.13 ;
% 0.93/1.13 ; Term-hash-array has 3,661 terms in all.
% 0.93/1.13 ; Feature-vector-row-index has 86 entries (86 at peak, 87 added, 1 deleted).
% 0.93/1.13 ; Feature-vector-row-index has 305 nodes (305 at peak, 316 added, 11 deleted).
% 0.93/1.13 ; Retrieved 27 possibly forward subsuming rows in 89 calls.
% 0.93/1.13 ; Retrieved 16 possibly backward subsumed rows in 87 calls.
% 0.93/1.13 ; Path-index has 3,658 entries (3,658 at peak, 3,685 added, 27 deleted).
% 0.93/1.13 ; Path-index has 4,419 nodes (4,419 at peak, 4,476 added, 57 deleted).
% 0.93/1.13 ; Trie-index has 3,658 entries (3,658 at peak, 3,685 added, 27 deleted).
% 0.93/1.13 ; Trie-index has 10,122 nodes (10,124 at peak, 10,258 added, 136 deleted).
% 0.93/1.13 ; Retrieved 1,191 generalization terms in 3,550 calls.
% 0.93/1.13 ; Retrieved 1,920 instance terms in 1,916 calls.
% 0.93/1.13 ; Retrieved 854,251 unifiable terms in 116,971 calls.
% 0.93/1.13 ;
% 0.93/1.13 ; The agenda of rows to process has 2 entries:
% 0.93/1.13 ; 1 with value 24 1 with value 31
% 0.93/1.13 ; The agenda of rows to give has 1565 entries:
% 0.93/1.13 ; 30 with value (4 10) 150 with value (4 17) 6 with value (4 24)
% 0.93/1.13 ; 107 with value (4 11) 13 with value (4 18) 4 with value (4 25)
% 0.93/1.13 ; 243 with value (4 12) 22 with value (4 19) 17 with value (4 26)
% 0.93/1.13 ; 241 with value (4 13) 36 with value (4 20) 28 with value (4 27)
% 0.93/1.13 ; 80 with value (4 14) 40 with value (4 21) 12 with value (4 29)
% 0.93/1.13 ; 306 with value (4 15) 14 with value (4 22) 1 with value (4 31)
% 0.93/1.13 ; 185 with value (4 16) 22 with value (4 23) 8 with value (4 32)
% 0.93/1.13 Evaluation took:
% 0.93/1.13 0.663 seconds of real time
% 0.93/1.13 0.634606 seconds of user run time
% 0.93/1.13 0.028757 seconds of system run time
% 0.93/1.13 [Run times include 0.033 seconds GC run time.]
% 0.93/1.13 0 calls to %EVAL
% 0.93/1.13 0 page faults and
% 0.93/1.13 57,103,384 bytes consed.
% 0.93/1.13 :PROOF-FOUND
% 0.93/1.13 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T14:33:37
% 0.93/1.13 :PROOF-FOUND
% 0.93/1.13 *
%------------------------------------------------------------------------------