TSTP Solution File: GRP642+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP642+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 11:39:57 EDT 2022
% Result : Theorem 8.17s 8.35s
% Output : Refutation 8.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 16
% Syntax : Number of clauses : 25 ( 17 unt; 5 nHn; 25 RR)
% Number of literals : 58 ( 4 equ; 31 neg)
% Maximal clause size : 11 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
~ v3_struct_0('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_latsubgr) ).
cnf(2,negated_conjecture,
v3_group_1('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_latsubgr) ).
cnf(3,negated_conjecture,
v4_group_1('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_latsubgr) ).
cnf(4,negated_conjecture,
l1_group_1('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_latsubgr) ).
cnf(5,negated_conjecture,
v1_group_1('SKOLEMAAAV2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_latsubgr) ).
cnf(6,negated_conjecture,
m1_group_2('SKOLEMAAAV2','SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_latsubgr) ).
cnf(7,negated_conjecture,
k1_funct_1(k1_latsubgr('SKOLEMAAAV1'),'SKOLEMAAAV2') = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_latsubgr) ).
cnf(13,axiom,
( v3_struct_0(X)
| ~ v3_group_1(X)
| ~ v4_group_1(X)
| ~ l1_group_1(X)
| ~ v1_funct_1(Y)
| ~ v1_funct_2(Y,k1_group_3(X),k1_zfmisc_1(u1_struct_0(X)))
| ~ m2_relset_1(Y,k1_group_3(X),k1_zfmisc_1(u1_struct_0(X)))
| Y != k1_latsubgr(X)
| ~ v1_group_1(Z)
| ~ m1_group_2(Z,X)
| k1_funct_1(Y,Z) = u1_struct_0(Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_latsubgr) ).
cnf(19,axiom,
( v3_struct_0(X)
| ~ v3_group_1(X)
| ~ v4_group_1(X)
| ~ l1_group_1(X)
| v1_funct_1(k1_latsubgr(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_latsubgr) ).
cnf(20,axiom,
( v3_struct_0(X)
| ~ v3_group_1(X)
| ~ v4_group_1(X)
| ~ l1_group_1(X)
| v1_funct_2(k1_latsubgr(X),k1_group_3(X),k1_zfmisc_1(u1_struct_0(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_latsubgr) ).
cnf(21,axiom,
( v3_struct_0(X)
| ~ v3_group_1(X)
| ~ v4_group_1(X)
| ~ l1_group_1(X)
| m2_relset_1(k1_latsubgr(X),k1_group_3(X),k1_zfmisc_1(u1_struct_0(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_latsubgr) ).
cnf(22,axiom,
( ~ l1_group_1(X)
| l1_struct_0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
cnf(23,axiom,
( v3_struct_0(X)
| ~ v3_group_1(X)
| ~ l1_group_1(X)
| ~ m1_group_2(Y,X)
| ~ v3_struct_0(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_group_2) ).
cnf(25,axiom,
( v3_struct_0(X)
| ~ v3_group_1(X)
| ~ l1_group_1(X)
| ~ m1_group_2(Y,X)
| l1_group_1(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_group_2) ).
cnf(37,axiom,
( v3_struct_0(X)
| ~ l1_struct_0(X)
| ~ v1_xboole_0(u1_struct_0(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
cnf(39,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
cnf(106,plain,
~ v3_struct_0('SKOLEMAAAV2'),
inference('UR-RESOLVE',[status(thm)],[23,1,2,4,6]) ).
cnf(108,plain,
l1_group_1('SKOLEMAAAV2'),
inference('UR-RESOLVE',[status(thm)],[25,1,2,4,6]) ).
cnf(113,plain,
v1_funct_1(k1_latsubgr('SKOLEMAAAV1')),
inference('UR-RESOLVE',[status(thm)],[19,1,2,3,4]) ).
cnf(122,plain,
v1_funct_2(k1_latsubgr('SKOLEMAAAV1'),k1_group_3('SKOLEMAAAV1'),k1_zfmisc_1(u1_struct_0('SKOLEMAAAV1'))),
inference('UR-RESOLVE',[status(thm)],[20,1,2,3,4]) ).
cnf(123,plain,
m2_relset_1(k1_latsubgr('SKOLEMAAAV1'),k1_group_3('SKOLEMAAAV1'),k1_zfmisc_1(u1_struct_0('SKOLEMAAAV1'))),
inference('UR-RESOLVE',[status(thm)],[21,1,2,3,4]) ).
cnf(130,plain,
l1_struct_0('SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[22,108]) ).
cnf(137,plain,
~ v1_xboole_0(u1_struct_0('SKOLEMAAAV2')),
inference('UR-RESOLVE',[status(thm)],[37,130,106]) ).
cnf(26090,plain,
k1_xboole_0 = u1_struct_0('SKOLEMAAAV2'),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[13,123,1,2,3,4,113,122,5,6,theory(equality)]),7,theory(equality)]) ).
cnf(26094,plain,
$false,
inference('REWRITE',[status(thm)],[137,39,26090,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GRP642+1 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.15 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jun 13 16:25:33 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.22/0.50 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.51 *
% 0.22/0.51 *
% 0.22/0.51 #<PACKAGE "SNARK-USER">
% 0.22/0.51 *
% 0.22/0.51 SNARK-TPTP-OPTIONS
% 0.22/0.51 *
% 0.22/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51 (USE-FACTORING :POS)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.51 *
% 0.22/0.51 "."
% 0.22/0.51 *
% 0.22/0.51 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T16:25:33
% 0.22/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-13T16:25:33
% 0.37/0.54 WARNING:
% 0.37/0.54 |v1_relat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 8.17/8.35
% 8.17/8.35
% 8.17/8.35 #||
% 8.17/8.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.17/8.35 % SZS output start Refutation
% See solution above
% 8.17/8.35 ||#
% 8.17/8.35
% 8.17/8.35 ; Summary of computation:
% 8.17/8.35 ; 27740 formulas have been input or derived (from 276 formulas).
% 8.17/8.35 ; 26094 (94%) were retained. Of these,
% 8.17/8.35 ; 912 ( 3%) were simplified or subsumed later,
% 8.17/8.35 ; 25182 (97%) are still being kept.
% 8.17/8.35 ;
% 8.17/8.35 ; Run time in seconds excluding printing time:
% 8.17/8.35 ; 0.011 0% Read assertion file (1 call)
% 8.17/8.35 ; 0.004 0% Assert (53 calls)
% 8.17/8.35 ; 1.925 25% Process new row (26,713 calls)
% 8.17/8.35 ; 5.126 65% Resolution (550 calls)
% 8.17/8.35 ; 0.012 0% Paramodulation (275 calls)
% 8.17/8.35 ; 0.000 0% Factoring (5 calls)
% 8.17/8.35 ; 0.002 0% Condensing (57 calls)
% 8.17/8.35 ; 0.002 0% Forward subsumption (57 calls)
% 8.17/8.35 ; 0.001 0% Backward subsumption (54 calls)
% 8.17/8.35 ; 0.000 0% Clause clause subsumption (7 calls)
% 8.17/8.35 ; 0.186 2% Forward simplification (26,703 calls)
% 8.17/8.35 ; 0.417 5% Backward simplification (26,094 calls)
% 8.17/8.35 ; 0.000 0% Ordering (71 calls)
% 8.17/8.35 ; 0.000 0% Sortal reasoning (32 calls)
% 8.17/8.35 ; 0.000 0% Purity testing (1 call)
% 8.17/8.35 ; 0.144 2% Other
% 8.17/8.35 ; 7.830 Total
% 8.17/8.35 ; 7.833 Real time
% 8.17/8.35 ;
% 8.17/8.35 ; Term-hash-array has 51,787 terms in all.
% 8.17/8.35 ; Feature-vector-row-index has 54 entries (54 at peak, 54 added, 0 deleted).
% 8.17/8.35 ; Feature-vector-row-index has 285 nodes (285 at peak, 285 added, 0 deleted).
% 8.17/8.35 ; Retrieved 6 possibly forward subsuming rows in 57 calls.
% 8.17/8.35 ; Retrieved 3 possibly backward subsumed rows in 54 calls.
% 8.17/8.35 ; Path-index has 49,986 entries (51,785 at peak, 51,795 added, 1,809 deleted).
% 8.17/8.35 ; Path-index has 4,117 nodes (4,165 at peak, 4,185 added, 68 deleted).
% 8.17/8.35 ; Trie-index has 49,986 entries (51,785 at peak, 51,795 added, 1,809 deleted).
% 8.17/8.35 ; Trie-index has 110,936 nodes (113,788 at peak, 113,821 added, 2,885 deleted).
% 8.17/8.35 ; Retrieved 1,041 generalization terms in 26,915 calls.
% 8.17/8.35 ; Retrieved 26,052 instance terms in 26,039 calls.
% 8.17/8.35 ; Retrieved 7,482,332 unifiable terms in 356,353 calls.
% 8.17/8.35 ;
% 8.17/8.35 ; The agenda of backward simplifiable rows to process has 903 entries:
% 8.17/8.35 ; 903 with value 0
% 8.17/8.35 ; The agenda of rows to process has 5 entries:
% 8.17/8.35 ; 1 with value 13 1 with value 17 1 with value 21
% 8.17/8.35 ; 1 with value 15 1 with value 20
% 8.17/8.35 ; The agenda of rows to give has 24913 entries:
% 8.17/8.35 ; 1 with value (4 8) 1080 with value (4 15) 181 with value (4 20)
% 8.17/8.35 ; 3 with value (4 11) 2770 with value (4 16) 58 with value (4 21)
% 8.17/8.35 ; 132 with value (4 12) 3484 with value (4 17) 2 with value (4 22)
% 8.17/8.35 ; 165 with value (4 13) 6935 with value (4 18) 1 with value (4 29)
% 8.17/8.35 ; 394 with value (4 14) 9706 with value (4 19) 1 with value (4 30)
% 8.17/8.35 Evaluation took:
% 8.17/8.35 7.835 seconds of real time
% 8.17/8.35 7.522681 seconds of user run time
% 8.17/8.35 0.310882 seconds of system run time
% 8.17/8.35 [Run times include 1.213 seconds GC run time.]
% 8.17/8.35 0 calls to %EVAL
% 8.17/8.35 0 page faults and
% 8.17/8.35 396,379,592 bytes consed.
% 8.17/8.35 :PROOF-FOUND
% 8.17/8.35 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T16:25:41
% 8.17/8.35 :PROOF-FOUND
% 8.17/8.35 *
%------------------------------------------------------------------------------