TSTP Solution File: GRP641+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP641+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 11:39:56 EDT 2022
% Result : Theorem 7.06s 7.23s
% Output : Refutation 7.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 18
% Syntax : Number of clauses : 30 ( 19 unt; 8 nHn; 30 RR)
% Number of literals : 72 ( 5 equ; 38 neg)
% Maximal clause size : 11 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
~ v3_struct_0('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_latsubgr) ).
cnf(2,negated_conjecture,
v3_group_1('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_latsubgr) ).
cnf(3,negated_conjecture,
v4_group_1('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_latsubgr) ).
cnf(4,negated_conjecture,
l1_group_1('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_latsubgr) ).
cnf(5,negated_conjecture,
v1_group_1('SKOLEMAAAV2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_latsubgr) ).
cnf(6,negated_conjecture,
m1_group_2('SKOLEMAAAV2','SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_latsubgr) ).
cnf(7,negated_conjecture,
~ r2_hidden(k2_group_1('SKOLEMAAAV1'),k1_funct_1(k1_latsubgr('SKOLEMAAAV1'),'SKOLEMAAAV2')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_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,
( v3_struct_0(X)
| ~ l1_group_1(X)
| m1_subset_1(k2_group_1(X),u1_struct_0(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_group_1) ).
cnf(23,axiom,
( ~ l1_group_1(X)
| l1_struct_0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
cnf(24,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(26,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(38,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(63,axiom,
( ~ m1_subset_1(X,Y)
| v1_xboole_0(Y)
| r2_hidden(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
cnf(67,axiom,
( v3_struct_0(X)
| ~ v3_group_1(X)
| ~ v4_group_1(X)
| ~ l1_group_1(X)
| ~ m1_group_2(Y,X)
| k2_group_1(Y) = k2_group_1(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_group_2) ).
cnf(110,plain,
~ v3_struct_0('SKOLEMAAAV2'),
inference('UR-RESOLVE',[status(thm)],[24,1,2,4,6]) ).
cnf(112,plain,
l1_group_1('SKOLEMAAAV2'),
inference('UR-RESOLVE',[status(thm)],[26,1,2,4,6]) ).
cnf(117,plain,
v1_funct_1(k1_latsubgr('SKOLEMAAAV1')),
inference('UR-RESOLVE',[status(thm)],[19,1,2,3,4]) ).
cnf(126,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(127,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(128,plain,
k2_group_1('SKOLEMAAAV2') = k2_group_1('SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[67,1,2,3,4,6]) ).
cnf(135,plain,
l1_struct_0('SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[23,112]) ).
cnf(138,plain,
m1_subset_1(k2_group_1('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2')),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[22,112,110]),128,theory(equality)]) ).
cnf(143,plain,
~ v1_xboole_0(u1_struct_0('SKOLEMAAAV2')),
inference('UR-RESOLVE',[status(thm)],[38,135,110]) ).
cnf(815,plain,
r2_hidden(k2_group_1('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2')),
inference('UR-RESOLVE',[status(thm)],[63,138,143]) ).
cnf(26111,plain,
k1_funct_1(k1_latsubgr('SKOLEMAAAV1'),'SKOLEMAAAV2') = u1_struct_0('SKOLEMAAAV2'),
inference('UR-RESOLVE',[status(thm)],[13,127,1,2,3,4,117,126,5,6,theory(equality)]) ).
cnf(26112,plain,
$false,
inference('REWRITE',[status(thm)],[7,815,26111,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP641+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 13:28:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T13:28:52
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-13T13:28:52
% 0.20/0.51 WARNING:
% 0.20/0.51 |v1_relat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 7.06/7.23
% 7.06/7.23
% 7.06/7.23 #||
% 7.06/7.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.06/7.23 % SZS output start Refutation
% See solution above
% 7.06/7.26 ||#
% 7.06/7.26
% 7.06/7.26 ; Summary of computation:
% 7.06/7.26 ; 26881 formulas have been input or derived (from 288 formulas).
% 7.06/7.26 ; 26112 (97%) were retained. Of these,
% 7.06/7.26 ; 6 ( 0%) were simplified or subsumed later,
% 7.06/7.26 ; 26106 (100%) are still being kept.
% 7.06/7.26 ;
% 7.06/7.26 ; Run time in seconds excluding printing time:
% 7.06/7.26 ; 0.011 0% Read assertion file (1 call)
% 7.06/7.26 ; 0.003 0% Assert (55 calls)
% 7.06/7.26 ; 1.811 27% Process new row (26,748 calls)
% 7.06/7.26 ; 4.188 62% Resolution (574 calls)
% 7.06/7.26 ; 0.009 0% Paramodulation (287 calls)
% 7.06/7.26 ; 0.000 0% Factoring (6 calls)
% 7.06/7.26 ; 0.000 0% Condensing (61 calls)
% 7.06/7.26 ; 0.002 0% Forward subsumption (61 calls)
% 7.06/7.26 ; 0.002 0% Backward subsumption (58 calls)
% 7.06/7.26 ; 0.000 0% Clause clause subsumption (7 calls)
% 7.06/7.26 ; 0.280 4% Forward simplification (26,738 calls)
% 7.06/7.26 ; 0.317 5% Backward simplification (26,112 calls)
% 7.06/7.26 ; 0.000 0% Ordering (100 calls)
% 7.06/7.26 ; 0.000 0% Sortal reasoning (32 calls)
% 7.06/7.26 ; 0.000 0% Purity testing (1 call)
% 7.06/7.26 ; 0.123 2% Other
% 7.06/7.26 ; 6.746 Total
% 7.06/7.26 ; 6.782 Real time
% 7.06/7.26 ;
% 7.06/7.26 ; Term-hash-array has 51,811 terms in all.
% 7.06/7.26 ; Feature-vector-row-index has 58 entries (58 at peak, 58 added, 0 deleted).
% 7.06/7.26 ; Feature-vector-row-index has 311 nodes (311 at peak, 311 added, 0 deleted).
% 7.06/7.26 ; Retrieved 6 possibly forward subsuming rows in 61 calls.
% 7.06/7.26 ; Retrieved 4 possibly backward subsumed rows in 58 calls.
% 7.06/7.26 ; Path-index has 51,813 entries (51,814 at peak, 51,819 added, 6 deleted).
% 7.06/7.26 ; Path-index has 4,204 nodes (4,206 at peak, 4,211 added, 7 deleted).
% 7.06/7.26 ; Trie-index has 51,813 entries (51,814 at peak, 51,819 added, 6 deleted).
% 7.06/7.26 ; Trie-index has 113,858 nodes (113,862 at peak, 113,875 added, 17 deleted).
% 7.06/7.26 ; Retrieved 1,073 generalization terms in 26,994 calls.
% 7.06/7.26 ; Retrieved 26,066 instance terms in 26,053 calls.
% 7.06/7.26 ; Retrieved 7,482,733 unifiable terms in 356,580 calls.
% 7.06/7.26 ;
% 7.06/7.26 ; The agenda of rows to process has 5 entries:
% 7.06/7.26 ; 1 with value 13 1 with value 17 1 with value 21
% 7.06/7.26 ; 1 with value 15 1 with value 20
% 7.06/7.26 ; The agenda of rows to give has 25824 entries:
% 7.06/7.26 ; 143 with value (4 12) 3774 with value (4 17) 58 with value (4 21)
% 7.06/7.26 ; 202 with value (4 13) 7057 with value (4 18) 2 with value (4 22)
% 7.06/7.26 ; 407 with value (4 14) 9943 with value (4 19) 1 with value (4 29)
% 7.06/7.26 ; 1116 with value (4 15) 181 with value (4 20) 1 with value (4 30)
% 7.06/7.26 ; 2939 with value (4 16)
% 7.06/7.26 Evaluation took:
% 7.06/7.26 6.783 seconds of real time
% 7.06/7.26 6.482012 seconds of user run time
% 7.06/7.26 0.301004 seconds of system run time
% 7.06/7.26 [Run times include 1.177 seconds GC run time.]
% 7.06/7.26 0 calls to %EVAL
% 7.06/7.26 0 page faults and
% 7.06/7.26 391,591,792 bytes consed.
% 7.06/7.26 :PROOF-FOUND
% 7.06/7.26 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T13:28:59
% 7.06/7.26 :PROOF-FOUND
% 7.06/7.26 *
%------------------------------------------------------------------------------