TSTP Solution File: GRP645+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP645+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 11:39:59 EDT 2022
% Result : Theorem 6.64s 6.89s
% Output : Refutation 6.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 18
% Syntax : Number of clauses : 35 ( 26 unt; 9 nHn; 35 RR)
% Number of literals : 89 ( 17 equ; 50 neg)
% Maximal clause size : 11 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
~ v3_struct_0('SKOLEMAAAS1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_latsubgr) ).
cnf(2,negated_conjecture,
v3_group_1('SKOLEMAAAS1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_latsubgr) ).
cnf(3,negated_conjecture,
v4_group_1('SKOLEMAAAS1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_latsubgr) ).
cnf(4,negated_conjecture,
l1_group_1('SKOLEMAAAS1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_latsubgr) ).
cnf(5,negated_conjecture,
v1_group_1('SKOLEMAAAS2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_latsubgr) ).
cnf(6,negated_conjecture,
m1_group_2('SKOLEMAAAS2','SKOLEMAAAS1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_latsubgr) ).
cnf(7,negated_conjecture,
v1_group_1('SKOLEMAAAS3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_latsubgr) ).
cnf(8,negated_conjecture,
m1_group_2('SKOLEMAAAS3','SKOLEMAAAS1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_latsubgr) ).
cnf(9,negated_conjecture,
k1_funct_1(k1_latsubgr('SKOLEMAAAS1'),k9_group_2('SKOLEMAAAS1','SKOLEMAAAS2','SKOLEMAAAS3')) != k3_xboole_0(k1_funct_1(k1_latsubgr('SKOLEMAAAS1'),'SKOLEMAAAS2'),k1_funct_1(k1_latsubgr('SKOLEMAAAS1'),'SKOLEMAAAS3')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_latsubgr) ).
cnf(15,axiom,
( v3_struct_0(X)
| ~ v3_group_1(X)
| ~ v4_group_1(X)
| ~ l1_group_1(X)
| ~ m1_group_2(Y,X)
| ~ m1_group_2(Z,X)
| k9_group_2(X,Y,Z) = k9_group_2(X,Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k9_group_2) ).
cnf(16,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/sandbox2/benchmark/theBenchmark.p',d1_latsubgr) ).
cnf(22,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/sandbox2/benchmark/theBenchmark.p',dt_k1_latsubgr) ).
cnf(23,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/sandbox2/benchmark/theBenchmark.p',dt_k1_latsubgr) ).
cnf(24,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/sandbox2/benchmark/theBenchmark.p',dt_k1_latsubgr) ).
cnf(25,axiom,
( v3_struct_0(X)
| ~ v3_group_1(X)
| ~ v4_group_1(X)
| ~ l1_group_1(X)
| ~ m1_group_2(Y,X)
| ~ m1_group_2(Z,X)
| v1_group_1(k8_group_2(X,Y,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_group_2) ).
cnf(26,axiom,
( v3_struct_0(X)
| ~ v3_group_1(X)
| ~ v4_group_1(X)
| ~ l1_group_1(X)
| ~ m1_group_2(Y,X)
| ~ m1_group_2(Z,X)
| m1_group_2(k8_group_2(X,Y,Z),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_group_2) ).
cnf(66,axiom,
( v3_struct_0(X)
| ~ v3_group_1(X)
| ~ v4_group_1(X)
| ~ l1_group_1(X)
| ~ m1_group_2(Y,X)
| ~ m1_group_2(Z,X)
| k9_group_2(X,Y,Z) = k8_group_2(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k9_group_2) ).
cnf(71,axiom,
( v3_struct_0(X)
| ~ v3_group_1(X)
| ~ v4_group_1(X)
| ~ l1_group_1(X)
| ~ v1_group_1(Y)
| ~ m1_group_2(Y,X)
| ~ v1_group_1(Z)
| ~ m1_group_2(Z,X)
| u1_struct_0(k9_group_2(X,Y,Z)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X),Y),k1_funct_1(k1_latsubgr(X),Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_latsubgr) ).
cnf(127,plain,
v1_funct_1(k1_latsubgr('SKOLEMAAAS1')),
inference('UR-RESOLVE',[status(thm)],[22,1,2,3,4]) ).
cnf(136,plain,
v1_funct_2(k1_latsubgr('SKOLEMAAAS1'),k1_group_3('SKOLEMAAAS1'),k1_zfmisc_1(u1_struct_0('SKOLEMAAAS1'))),
inference('UR-RESOLVE',[status(thm)],[23,1,2,3,4]) ).
cnf(137,plain,
m2_relset_1(k1_latsubgr('SKOLEMAAAS1'),k1_group_3('SKOLEMAAAS1'),k1_zfmisc_1(u1_struct_0('SKOLEMAAAS1'))),
inference('UR-RESOLVE',[status(thm)],[24,1,2,3,4]) ).
cnf(141,plain,
v1_group_1(k8_group_2('SKOLEMAAAS1','SKOLEMAAAS2','SKOLEMAAAS3')),
inference('UR-RESOLVE',[status(thm)],[25,1,2,3,4,6,8]) ).
cnf(149,plain,
m1_group_2(k8_group_2('SKOLEMAAAS1','SKOLEMAAAS2','SKOLEMAAAS3'),'SKOLEMAAAS1'),
inference('UR-RESOLVE',[status(thm)],[26,1,2,3,4,6,8]) ).
cnf(156,plain,
k9_group_2('SKOLEMAAAS1','SKOLEMAAAS2','SKOLEMAAAS3') = k9_group_2('SKOLEMAAAS1','SKOLEMAAAS3','SKOLEMAAAS2'),
inference('UR-RESOLVE',[status(thm)],[15,1,2,3,4,6,8]) ).
cnf(158,plain,
k9_group_2('SKOLEMAAAS1','SKOLEMAAAS2','SKOLEMAAAS3') = k8_group_2('SKOLEMAAAS1','SKOLEMAAAS2','SKOLEMAAAS3'),
inference('UR-RESOLVE',[status(thm)],[66,1,2,3,4,6,8]) ).
cnf(159,plain,
k1_funct_1(k1_latsubgr('SKOLEMAAAS1'),k8_group_2('SKOLEMAAAS1','SKOLEMAAAS2','SKOLEMAAAS3')) != k3_xboole_0(k1_funct_1(k1_latsubgr('SKOLEMAAAS1'),'SKOLEMAAAS2'),k1_funct_1(k1_latsubgr('SKOLEMAAAS1'),'SKOLEMAAAS3')),
inference('REWRITE',[status(thm)],[9,158,theory(equality)]) ).
cnf(160,plain,
k8_group_2('SKOLEMAAAS1','SKOLEMAAAS2','SKOLEMAAAS3') = k9_group_2('SKOLEMAAAS1','SKOLEMAAAS3','SKOLEMAAAS2'),
inference('REWRITE',[status(thm)],[156,158,theory(equality)]) ).
cnf(166,plain,
u1_struct_0(k8_group_2('SKOLEMAAAS1','SKOLEMAAAS2','SKOLEMAAAS3')) = k3_xboole_0(k1_funct_1(k1_latsubgr('SKOLEMAAAS1'),'SKOLEMAAAS2'),k1_funct_1(k1_latsubgr('SKOLEMAAAS1'),'SKOLEMAAAS3')),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[71,1,2,3,4,7,8,5,6]),160,theory(equality)]) ).
cnf(28315,plain,
k1_funct_1(k1_latsubgr('SKOLEMAAAS1'),'SKOLEMAAAS3') = u1_struct_0('SKOLEMAAAS3'),
inference('UR-RESOLVE',[status(thm)],[16,137,1,2,3,4,127,136,7,8,theory(equality)]) ).
cnf(28316,plain,
k1_funct_1(k1_latsubgr('SKOLEMAAAS1'),k8_group_2('SKOLEMAAAS1','SKOLEMAAAS2','SKOLEMAAAS3')) != k3_xboole_0(k1_funct_1(k1_latsubgr('SKOLEMAAAS1'),'SKOLEMAAAS2'),u1_struct_0('SKOLEMAAAS3')),
inference('REWRITE',[status(thm)],[159,28315,theory(equality)]) ).
cnf(28320,plain,
u1_struct_0(k8_group_2('SKOLEMAAAS1','SKOLEMAAAS2','SKOLEMAAAS3')) = k3_xboole_0(k1_funct_1(k1_latsubgr('SKOLEMAAAS1'),'SKOLEMAAAS2'),u1_struct_0('SKOLEMAAAS3')),
inference('REWRITE',[status(thm)],[166,28315,theory(equality)]) ).
cnf(28334,plain,
k1_funct_1(k1_latsubgr('SKOLEMAAAS1'),'SKOLEMAAAS2') = u1_struct_0('SKOLEMAAAS2'),
inference('UR-RESOLVE',[status(thm)],[16,137,1,2,3,4,127,136,5,6,theory(equality)]) ).
cnf(28344,plain,
k1_funct_1(k1_latsubgr('SKOLEMAAAS1'),k8_group_2('SKOLEMAAAS1','SKOLEMAAAS2','SKOLEMAAAS3')) != k3_xboole_0(u1_struct_0('SKOLEMAAAS2'),u1_struct_0('SKOLEMAAAS3')),
inference('REWRITE',[status(thm)],[28316,28334,theory(equality)]) ).
cnf(28347,plain,
u1_struct_0(k8_group_2('SKOLEMAAAS1','SKOLEMAAAS2','SKOLEMAAAS3')) = k3_xboole_0(u1_struct_0('SKOLEMAAAS2'),u1_struct_0('SKOLEMAAAS3')),
inference('REWRITE',[status(thm)],[28320,28334,theory(equality)]) ).
cnf(28355,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[16,137,1,2,3,4,127,136,141,149,theory(equality)]),28344,28347,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP645+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n028.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 22:41:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T22:41:53
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-13T22:41:53
% 0.20/0.50
% 0.20/0.51 ; Recognized commutativity assertion (= (|k3_xboole_0| ?X ?Y) (|k3_xboole_0| ?Y ?X)).
% 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.
% 6.64/6.89 ; Declaring k3_xboole_0 to be commutative.
% 6.64/6.89
% 6.64/6.89 #||
% 6.64/6.89 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.64/6.89 % SZS output start Refutation
% See solution above
% 6.64/6.90 ||#
% 6.64/6.90
% 6.64/6.90 ; Summary of computation:
% 6.64/6.90 ; 29717 formulas have been input or derived (from 331 formulas).
% 6.64/6.90 ; 28355 (95%) were retained. Of these,
% 6.64/6.90 ; 143 ( 1%) were simplified or subsumed later,
% 6.64/6.90 ; 28212 (99%) are still being kept.
% 6.64/6.90 ;
% 6.64/6.90 ; Run time in seconds excluding printing time:
% 6.64/6.90 ; 0.008 0% Read assertion file (1 call)
% 6.64/6.90 ; 0.002 0% Assert (62 calls)
% 6.64/6.90 ; 1.933 30% Process new row (29,567 calls)
% 6.64/6.90 ; 3.626 57% Resolution (660 calls)
% 6.64/6.90 ; 0.011 0% Paramodulation (330 calls)
% 6.64/6.90 ; 0.000 0% Factoring (5 calls)
% 6.64/6.90 ; 0.002 0% Condensing (64 calls)
% 6.64/6.90 ; 0.001 0% Forward subsumption (64 calls)
% 6.64/6.90 ; 0.000 0% Backward subsumption (61 calls)
% 6.64/6.90 ; 0.000 0% Clause clause subsumption (7 calls)
% 6.64/6.90 ; 0.360 6% Forward simplification (29,557 calls)
% 6.64/6.90 ; 0.310 5% Backward simplification (28,355 calls)
% 6.64/6.90 ; 0.001 0% Ordering (201 calls)
% 6.64/6.90 ; 0.000 0% Sortal reasoning (32 calls)
% 6.64/6.90 ; 0.000 0% Purity testing (1 call)
% 6.64/6.90 ; 0.152 2% Other
% 6.64/6.90 ; 6.406 Total
% 6.64/6.90 ; 6.412 Real time
% 6.64/6.90 ;
% 6.64/6.90 ; Term-hash-array has 56,105 terms in all.
% 6.64/6.90 ; Feature-vector-row-index has 61 entries (61 at peak, 61 added, 0 deleted).
% 6.64/6.90 ; Feature-vector-row-index has 320 nodes (320 at peak, 320 added, 0 deleted).
% 6.64/6.90 ; Retrieved 8 possibly forward subsuming rows in 64 calls.
% 6.64/6.90 ; Retrieved 3 possibly backward subsumed rows in 61 calls.
% 6.64/6.90 ; Path-index has 55,942 entries (55,943 at peak, 56,137 added, 195 deleted).
% 6.64/6.90 ; Path-index has 5,321 nodes (5,350 at peak, 5,778 added, 457 deleted).
% 6.64/6.90 ; Trie-index has 55,942 entries (55,943 at peak, 56,137 added, 195 deleted).
% 6.64/6.90 ; Trie-index has 121,715 nodes (121,872 at peak, 123,112 added, 1,397 deleted).
% 6.64/6.90 ; Retrieved 2,439 generalization terms in 46,507 calls.
% 6.64/6.90 ; Retrieved 28,312 instance terms in 28,293 calls.
% 6.64/6.90 ; Retrieved 11,683,586 unifiable terms in 435,429 calls.
% 6.64/6.90 ;
% 6.64/6.90 ; The agenda of rows to process has 9 entries:
% 6.64/6.90 ; 3 with value 18 1 with value 20 5 with value 21
% 6.64/6.90 ; The agenda of input rows to give has 1 entry:
% 6.64/6.90 ; 1 with value 16
% 6.64/6.90 ; The agenda of rows to give has 27887 entries:
% 6.64/6.90 ; 168 with value (4 12) 10421 with value (4 19) 22 with value (4 26)
% 6.64/6.90 ; 313 with value (4 13) 209 with value (4 20) 5 with value (4 29)
% 6.64/6.90 ; 451 with value (4 14) 58 with value (4 21) 1 with value (4 30)
% 6.64/6.90 ; 1192 with value (4 15) 16 with value (4 22) 6 with value (4 33)
% 6.64/6.90 ; 3326 with value (4 16) 2 with value (4 23) 1 with value (4 40)
% 6.64/6.90 ; 4381 with value (4 17) 12 with value (4 25) 1 with value (4 46)
% 6.64/6.90 ; 7302 with value (4 18)
% 6.64/6.90 Evaluation took:
% 6.64/6.90 6.414 seconds of real time
% 6.64/6.90 6.085361 seconds of user run time
% 6.64/6.90 0.324977 seconds of system run time
% 6.64/6.90 [Run times include 1.112 seconds GC run time.]
% 6.64/6.90 0 calls to %EVAL
% 6.64/6.90 0 page faults and
% 6.64/6.90 473,196,504 bytes consed.
% 6.64/6.90 :PROOF-FOUND
% 6.64/6.90 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T22:42:00
% 6.64/6.90 :PROOF-FOUND
% 6.64/6.90 *
%------------------------------------------------------------------------------