TSTP Solution File: SEU451+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU451+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 : Tue Jul 19 14:23:02 EDT 2022
% Result : Theorem 0.87s 1.06s
% Output : Refutation 0.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 22 ( 16 unt; 0 nHn; 17 RR)
% Number of literals : 30 ( 13 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-6 aty)
% Number of variables : 28 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
m2_relset_1('SKOLEMAAAV3','SKOLEMAAAV1','SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t65_relset_2) ).
cnf(2,negated_conjecture,
k9_relset_2('SKOLEMAAAV1','SKOLEMAAAV1','SKOLEMAAAV2',k6_partfun1('SKOLEMAAAV1'),'SKOLEMAAAV3') != k9_relset_2('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV2','SKOLEMAAAV3',k6_partfun1('SKOLEMAAAV2')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t65_relset_2) ).
cnf(7,axiom,
m2_relset_1(k6_partfun1(X),X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_partfun1) ).
cnf(11,axiom,
( ~ m2_relset_1(X,Y,Z)
| m1_subset_1(X,k1_zfmisc_1(k2_zfmisc_1(Y,Z))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
cnf(38,axiom,
( ~ m1_relset_1(X,Y,Z)
| ~ m1_relset_1(U,V,W)
| k7_relset_1(Y,Z,V,W,X,U) = k5_relat_1(X,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k7_relset_1) ).
cnf(39,axiom,
( ~ m1_subset_1(X,k1_zfmisc_1(k2_zfmisc_1(Y,Z)))
| ~ m1_subset_1(U,k1_zfmisc_1(k2_zfmisc_1(Z,V)))
| k9_relset_2(Y,Z,V,X,U) = k5_relat_1(X,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k9_relset_2) ).
cnf(40,axiom,
( ~ m2_relset_1(X,Y,Z)
| m1_relset_1(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
cnf(44,axiom,
( ~ m2_relset_1(X,Y,Z)
| k7_relset_1(Y,Y,Y,Z,k6_partfun1(Y),X) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_funct_2) ).
cnf(45,axiom,
( ~ m2_relset_1(X,Y,Z)
| k7_relset_1(Y,Z,Z,Z,X,k6_partfun1(Z)) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_funct_2) ).
cnf(64,plain,
m1_relset_1('SKOLEMAAAV3','SKOLEMAAAV1','SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[40,1]) ).
cnf(65,plain,
m1_relset_1(k6_partfun1(X),X,X),
inference('HYPERRESOLVE',[status(thm)],[40,7]) ).
cnf(148,plain,
m1_subset_1('SKOLEMAAAV3',k1_zfmisc_1(k2_zfmisc_1('SKOLEMAAAV1','SKOLEMAAAV2'))),
inference('HYPERRESOLVE',[status(thm)],[11,1]) ).
cnf(149,plain,
m1_subset_1(k6_partfun1(X),k1_zfmisc_1(k2_zfmisc_1(X,X))),
inference('HYPERRESOLVE',[status(thm)],[11,7]) ).
cnf(151,plain,
k7_relset_1('SKOLEMAAAV1','SKOLEMAAAV1','SKOLEMAAAV1','SKOLEMAAAV2',k6_partfun1('SKOLEMAAAV1'),'SKOLEMAAAV3') = 'SKOLEMAAAV3',
inference('HYPERRESOLVE',[status(thm)],[44,1]) ).
cnf(154,plain,
k7_relset_1('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV2','SKOLEMAAAV2','SKOLEMAAAV3',k6_partfun1('SKOLEMAAAV2')) = 'SKOLEMAAAV3',
inference('HYPERRESOLVE',[status(thm)],[45,1]) ).
cnf(549,plain,
k7_relset_1(X,X,'SKOLEMAAAV1','SKOLEMAAAV2',k6_partfun1(X),'SKOLEMAAAV3') = k5_relat_1(k6_partfun1(X),'SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[38,65,64]) ).
cnf(551,plain,
k5_relat_1(k6_partfun1('SKOLEMAAAV1'),'SKOLEMAAAV3') = 'SKOLEMAAAV3',
inference('REWRITE',[status(thm)],[151,549,theory(equality)]) ).
cnf(554,plain,
k7_relset_1('SKOLEMAAAV1','SKOLEMAAAV2',X,X,'SKOLEMAAAV3',k6_partfun1(X)) = k5_relat_1('SKOLEMAAAV3',k6_partfun1(X)),
inference('HYPERRESOLVE',[status(thm)],[38,65,64]) ).
cnf(556,plain,
k5_relat_1('SKOLEMAAAV3',k6_partfun1('SKOLEMAAAV2')) = 'SKOLEMAAAV3',
inference('REWRITE',[status(thm)],[154,554,theory(equality)]) ).
cnf(3450,plain,
k9_relset_2('SKOLEMAAAV1','SKOLEMAAAV1','SKOLEMAAAV2',k6_partfun1('SKOLEMAAAV1'),'SKOLEMAAAV3') = 'SKOLEMAAAV3',
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[39,149,148]),551,theory(equality)]) ).
cnf(3451,plain,
'SKOLEMAAAV3' != k9_relset_2('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV2','SKOLEMAAAV3',k6_partfun1('SKOLEMAAAV2')),
inference('REWRITE',[status(thm)],[2,3450,theory(equality)]) ).
cnf(3454,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[39,149,148]),3451,556,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU451+1 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n024.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 : Sun Jun 19 15:10:17 EDT 2022
% 0.14/0.35 % 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 *
% 0.20/0.48 ((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/sandbox2/benchmark/theBenchmark.p 2022-06-19T15:10:17
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-19T15:10:17
% 0.20/0.51 WARNING:
% 0.20/0.51 |v1_relat_2| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.51 WARNING:
% 0.20/0.51 |v1_partfun1| is a 3-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.51 WARNING:
% 0.20/0.51 |v3_relat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.51 WARNING:
% 0.20/0.51 |v1_funct_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.51 WARNING:
% 0.20/0.51 |v4_relat_2| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.51 WARNING:
% 0.20/0.51 |v3_relat_2| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.51 WARNING:
% 0.20/0.51 |v8_relat_2| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.87/1.06
% 0.87/1.06
% 0.87/1.06 #||
% 0.87/1.06 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.87/1.06 % SZS output start Refutation
% See solution above
% 0.87/1.06 ||#
% 0.87/1.06
% 0.87/1.06 ; Summary of computation:
% 0.87/1.06 ; 10736 formulas have been input or derived (from 179 formulas).
% 0.87/1.06 ; 3454 (32%) were retained. Of these,
% 0.87/1.06 ; 786 (23%) were simplified or subsumed later,
% 0.87/1.06 ; 2668 (77%) are still being kept.
% 0.87/1.06 ;
% 0.87/1.06 ; Run time in seconds excluding printing time:
% 0.87/1.06 ; 0.010 2% Read assertion file (1 call)
% 0.87/1.06 ; 0.001 0% Assert (48 calls)
% 0.87/1.06 ; 0.215 37% Process new row (10,463 calls)
% 0.87/1.06 ; 0.151 26% Resolution (356 calls)
% 0.87/1.06 ; 0.002 0% Paramodulation (178 calls)
% 0.87/1.06 ; 0.000 0% Factoring (4 calls)
% 0.87/1.06 ; 0.001 0% Condensing (56 calls)
% 0.87/1.06 ; 0.001 0% Forward subsumption (56 calls)
% 0.87/1.06 ; 0.000 0% Backward subsumption (54 calls)
% 0.87/1.06 ; 0.000 0% Clause clause subsumption (37 calls)
% 0.87/1.06 ; 0.049 9% Forward simplification (7,628 calls)
% 0.87/1.06 ; 0.080 14% Backward simplification (3,454 calls)
% 0.87/1.06 ; 0.001 0% Ordering (229 calls)
% 0.87/1.06 ; 0.000 0% Sortal reasoning (32 calls)
% 0.87/1.06 ; 0.001 0% Purity testing (1 call)
% 0.87/1.06 ; 0.063 11% Other
% 0.87/1.06 ; 0.575 Total
% 0.87/1.06 ; 0.577 Real time
% 0.87/1.06 ;
% 0.87/1.06 ; Term-hash-array has 6,708 terms in all.
% 0.87/1.06 ; Feature-vector-row-index has 54 entries (54 at peak, 54 added, 0 deleted).
% 0.87/1.06 ; Feature-vector-row-index has 242 nodes (242 at peak, 242 added, 0 deleted).
% 0.87/1.06 ; Retrieved 14 possibly forward subsuming rows in 56 calls.
% 0.87/1.06 ; Retrieved 23 possibly backward subsumed rows in 54 calls.
% 0.87/1.06 ; Path-index has 5,286 entries (5,286 at peak, 6,728 added, 1,442 deleted).
% 0.87/1.06 ; Path-index has 1,774 nodes (1,774 at peak, 1,971 added, 197 deleted).
% 0.87/1.06 ; Trie-index has 5,286 entries (5,286 at peak, 6,728 added, 1,442 deleted).
% 0.87/1.06 ; Trie-index has 12,508 nodes (12,508 at peak, 15,617 added, 3,109 deleted).
% 0.87/1.06 ; Retrieved 4,929 generalization terms in 15,351 calls.
% 0.87/1.06 ; Retrieved 3,441 instance terms in 3,399 calls.
% 0.87/1.06 ; Retrieved 277,028 unifiable terms in 7,610 calls.
% 0.87/1.06 ;
% 0.87/1.06 ; The agenda of rows to process has 27 entries:
% 0.87/1.06 ; 9 with value 17 8 with value 21 4 with value 27
% 0.87/1.06 ; 1 with value 19 2 with value 25 2 with value 30
% 0.87/1.06 ; 1 with value 20
% 0.87/1.06 ; The agenda of input rows to give has 1 entry:
% 0.87/1.06 ; 1 with value 12
% 0.87/1.06 ; The agenda of rows to give has 2521 entries:
% 0.87/1.06 ; 1 with value (4 10) 433 with value (4 18) 2 with value (4 26)
% 0.87/1.06 ; 59 with value (4 11) 315 with value (4 19) 2 with value (4 27)
% 0.87/1.06 ; 61 with value (4 12) 93 with value (4 20) 4 with value (4 28)
% 0.87/1.06 ; 188 with value (4 13) 8 with value (4 21) 2 with value (4 29)
% 0.87/1.06 ; 216 with value (4 14) 8 with value (4 22) 4 with value (4 32)
% 0.87/1.06 ; 375 with value (4 15) 7 with value (4 23) 2 with value (4 36)
% 0.87/1.06 ; 307 with value (4 16) 9 with value (4 24) 1 with value (4 39)
% 0.87/1.06 ; 422 with value (4 17) 2 with value (4 25)
% 0.87/1.06 Evaluation took:
% 0.87/1.06 0.578 seconds of real time
% 0.87/1.06 0.530374 seconds of user run time
% 0.87/1.06 0.047236 seconds of system run time
% 0.87/1.06 [Run times include 0.039 seconds GC run time.]
% 0.87/1.06 0 calls to %EVAL
% 0.87/1.06 0 page faults and
% 0.87/1.06 43,608,376 bytes consed.
% 0.87/1.06 :PROOF-FOUND
% 0.87/1.06 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T15:10:18
% 0.87/1.06 :PROOF-FOUND
% 0.87/1.06 *
%------------------------------------------------------------------------------