TSTP Solution File: GRP640+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP640+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 92.34s 92.57s
% Output : Refutation 92.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 20
% Syntax : Number of clauses : 30 ( 22 unt; 6 nHn; 28 RR)
% Number of literals : 73 ( 8 equ; 40 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-4 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
~ v3_struct_0('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_latsubgr) ).
cnf(2,negated_conjecture,
v3_group_1('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_latsubgr) ).
cnf(3,negated_conjecture,
v4_group_1('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_latsubgr) ).
cnf(4,negated_conjecture,
l1_group_1('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_latsubgr) ).
cnf(9,negated_conjecture,
m1_group_2('SKOLEMAAAV3','SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_latsubgr) ).
cnf(10,negated_conjecture,
m1_group_2('SKOLEMAAAV4','SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_latsubgr) ).
cnf(11,negated_conjecture,
v1_funct_1('SKOLEMAAAV5'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_latsubgr) ).
cnf(12,negated_conjecture,
v1_funct_2('SKOLEMAAAV5',u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_latsubgr) ).
cnf(13,negated_conjecture,
m2_relset_1('SKOLEMAAAV5',u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_latsubgr) ).
cnf(14,negated_conjecture,
m1_subset_1('SKOLEMAAAV6',k1_zfmisc_1(u1_struct_0('SKOLEMAAAV1'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_latsubgr) ).
cnf(15,negated_conjecture,
'SKOLEMAAAV6' = k2_xboole_0(u1_struct_0('SKOLEMAAAV3'),u1_struct_0('SKOLEMAAAV4')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_latsubgr) ).
cnf(16,negated_conjecture,
k2_funct_2(u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2'),'SKOLEMAAAV5',u1_struct_0(k8_group_4('SKOLEMAAAV1','SKOLEMAAAV3','SKOLEMAAAV4'))) != k2_funct_2(u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2'),'SKOLEMAAAV5',u1_struct_0(k5_group_4('SKOLEMAAAV1','SKOLEMAAAV6'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_latsubgr) ).
cnf(67,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(68,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(70,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)
| ~ r1_group_2(X,Y,Z)
| Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_group_2) ).
cnf(73,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(74,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(75,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_4(X,Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_group_4) ).
cnf(76,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_4(X,Y,Z),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_group_4) ).
cnf(85,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_subset_1(U,k1_zfmisc_1(u1_struct_0(X)))
| U != k2_xboole_0(u1_struct_0(Y),u1_struct_0(Z))
| r1_group_2(X,k8_group_4(X,Y,Z),k5_group_4(X,U)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_latsubgr) ).
cnf(105,plain,
m1_relset_1('SKOLEMAAAV5',u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2')),
inference('HYPERRESOLVE',[status(thm)],[68,13]) ).
cnf(158,plain,
v1_group_1(k5_group_4('SKOLEMAAAV1','SKOLEMAAAV6')),
inference('UR-RESOLVE',[status(thm)],[73,1,2,3,4,14]) ).
cnf(165,plain,
m1_group_2(k5_group_4('SKOLEMAAAV1','SKOLEMAAAV6'),'SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[74,1,2,3,4,14]) ).
cnf(172,plain,
v1_group_1(k8_group_4('SKOLEMAAAV1','SKOLEMAAAV3','SKOLEMAAAV4')),
inference('UR-RESOLVE',[status(thm)],[75,1,2,3,4,9,10]) ).
cnf(176,plain,
m1_group_2(k8_group_4('SKOLEMAAAV1','SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[76,1,2,3,4,9,10]) ).
cnf(181,plain,
r1_group_2('SKOLEMAAAV1',k8_group_4('SKOLEMAAAV1','SKOLEMAAAV3','SKOLEMAAAV4'),k5_group_4('SKOLEMAAAV1','SKOLEMAAAV6')),
inference('UR-RESOLVE',[status(thm)],[85,1,2,3,4,9,10,14,15]) ).
cnf(1928,plain,
k2_funct_2(u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2'),'SKOLEMAAAV5',X) = k9_relat_1('SKOLEMAAAV5',X),
inference('HYPERRESOLVE',[status(thm)],[67,105,11,12]) ).
cnf(1930,plain,
k9_relat_1('SKOLEMAAAV5',u1_struct_0(k8_group_4('SKOLEMAAAV1','SKOLEMAAAV3','SKOLEMAAAV4'))) != k9_relat_1('SKOLEMAAAV5',u1_struct_0(k5_group_4('SKOLEMAAAV1','SKOLEMAAAV6'))),
inference('REWRITE',[status(thm)],[16,1928,theory(equality)]) ).
cnf(87216,plain,
k8_group_4('SKOLEMAAAV1','SKOLEMAAAV3','SKOLEMAAAV4') = k5_group_4('SKOLEMAAAV1','SKOLEMAAAV6'),
inference('UR-RESOLVE',[status(thm)],[70,181,1,2,3,4,172,176,158,165]) ).
cnf(87217,plain,
$false,
inference('REWRITE',[status(thm)],[1930,87216,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP640+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 13 22:33:18 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50 (USE-FACTORING :POS)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50 *
% 0.21/0.50 "."
% 0.21/0.50 *
% 0.21/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T22:33:18
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-13T22:33:18
% 0.21/0.52
% 0.21/0.52 ; Recognized right identity assertion (= (|k2_xboole_0| ?X |k1_xboole_0|) ?X).
% 0.21/0.52 ; Recognized commutativity assertion (= (|k2_xboole_0| ?X ?Y) (|k2_xboole_0| ?Y ?X)).
% 0.21/0.53 WARNING:
% 0.21/0.53 |v1_relat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 92.34/92.57 ; Declaring k2_xboole_0 to be commutative.
% 92.34/92.57
% 92.34/92.57 #||
% 92.34/92.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 92.34/92.57 % SZS output start Refutation
% See solution above
% 92.42/92.61 ||#
% 92.42/92.61
% 92.42/92.61 ; Summary of computation:
% 92.42/92.61 ; 89020 formulas have been input or derived (from 493 formulas).
% 92.42/92.61 ; 87217 (98%) were retained. Of these,
% 92.42/92.61 ; 76 ( 0%) were simplified or subsumed later,
% 92.42/92.61 ; 87141 (100%) are still being kept.
% 92.42/92.61 ;
% 92.42/92.61 ; Run time in seconds excluding printing time:
% 92.42/92.61 ; 0.015 0% Read assertion file (1 call)
% 92.42/92.61 ; 0.004 0% Assert (63 calls)
% 92.42/92.61 ; 6.823 7% Process new row (88,716 calls)
% 92.42/92.61 ; 82.422 90% Resolution (984 calls)
% 92.42/92.61 ; 0.047 0% Paramodulation (492 calls)
% 92.42/92.61 ; 0.000 0% Factoring (5 calls)
% 92.42/92.61 ; 0.001 0% Condensing (70 calls)
% 92.42/92.61 ; 0.003 0% Forward subsumption (70 calls)
% 92.42/92.61 ; 0.001 0% Backward subsumption (66 calls)
% 92.42/92.61 ; 0.000 0% Clause clause subsumption (12 calls)
% 92.42/92.61 ; 1.076 1% Forward simplification (88,677 calls)
% 92.42/92.61 ; 1.328 1% Backward simplification (87,216 calls)
% 92.42/92.61 ; 0.000 0% Ordering (145 calls)
% 92.42/92.61 ; 0.000 0% Sortal reasoning (32 calls)
% 92.42/92.61 ; 0.000 0% Purity testing (1 call)
% 92.42/92.61 ; 0.343 0% Other
% 92.42/92.61 ; 92.063 Total
% 92.42/92.61 ; 92.117 Real time
% 92.42/92.62 ;
% 92.42/92.62 ; Term-hash-array has 173,568 terms in all.
% 92.42/92.62 ; Feature-vector-row-index has 60 entries (62 at peak, 66 added, 6 deleted).
% 92.42/92.62 ; Feature-vector-row-index has 233 nodes (264 at peak, 285 added, 52 deleted).
% 92.42/92.62 ; Retrieved 26 possibly forward subsuming rows in 70 calls.
% 92.42/92.62 ; Retrieved 9 possibly backward subsumed rows in 66 calls.
% 92.42/92.62 ; Path-index has 173,463 entries (173,559 at peak, 173,590 added, 127 deleted).
% 92.42/92.62 ; Path-index has 7,827 nodes (7,917 at peak, 8,053 added, 226 deleted).
% 92.42/92.62 ; Trie-index has 173,463 entries (173,559 at peak, 173,590 added, 127 deleted).
% 92.42/92.62 ; Trie-index has 325,022 nodes (325,425 at peak, 325,786 added, 764 deleted).
% 92.42/92.62 ; Retrieved 24,503 generalization terms in 111,408 calls.
% 92.42/92.62 ; Retrieved 87,173 instance terms in 87,149 calls.
% 92.42/92.62 ; Retrieved 146,654,232 unifiable terms in 1,844,876 calls.
% 92.42/92.62 ;
% 92.42/92.62 ; The agenda of backward simplifiable rows to process has 52 entries:
% 92.42/92.62 ; 52 with value 0
% 92.42/92.62 ; The agenda of rows to process has 3 entries:
% 92.42/92.62 ; 1 with value 13 1 with value 15 1 with value 16
% 92.42/92.62 ; The agenda of rows to give has 86663 entries:
% 92.42/92.62 ; 429 with value (4 12) 31534 with value (4 18) 8 with value (4 25)
% 92.42/92.62 ; 796 with value (4 13) 24507 with value (4 19) 6 with value (4 29)
% 92.42/92.62 ; 1376 with value (4 14) 234 with value (4 20) 4 with value (4 31)
% 92.42/92.62 ; 4131 with value (4 15) 61 with value (4 21) 1 with value (4 42)
% 92.42/92.62 ; 9502 with value (4 16) 4 with value (4 22) 2 with value (4 44)
% 92.42/92.62 ; 14064 with value (4 17) 4 with value (4 23)
% 92.42/92.62 Evaluation took:
% 92.42/92.62 92.122 seconds of real time
% 92.42/92.62 90.89115 seconds of user run time
% 92.42/92.62 1.218803 seconds of system run time
% 92.42/92.62 [Run times include 8.755 seconds GC run time.]
% 92.42/92.62 0 calls to %EVAL
% 92.42/92.62 0 page faults and
% 92.42/92.62 2,509,986,416 bytes consed.
% 92.42/92.62 :PROOF-FOUND
% 92.42/92.62 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T22:34:50
% 92.42/92.62 :PROOF-FOUND
% 92.42/92.62 *
%------------------------------------------------------------------------------