TSTP Solution File: SEU417+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU417+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 14:22:31 EDT 2022
% Result : Theorem 0.91s 1.11s
% Output : Refutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 12
% Syntax : Number of clauses : 27 ( 19 unt; 0 nHn; 26 RR)
% Number of literals : 45 ( 10 equ; 21 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 27 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
m1_subset_1('SKOLEMAAAV2',k1_zfmisc_1(k1_zfmisc_1('SKOLEMAAAV1'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_relset_2) ).
cnf(2,negated_conjecture,
m1_subset_1('SKOLEMAAAV3',k1_zfmisc_1(k1_zfmisc_1('SKOLEMAAAV1'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_relset_2) ).
cnf(3,negated_conjecture,
~ r1_tarski(k5_subset_1('SKOLEMAAAV1',k8_setfam_1('SKOLEMAAAV1','SKOLEMAAAV2'),k8_setfam_1('SKOLEMAAAV1','SKOLEMAAAV3')),k8_setfam_1('SKOLEMAAAV1',k1_relset_2('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_relset_2) ).
cnf(10,axiom,
( ~ m1_subset_1(X,k1_zfmisc_1(Y))
| ~ m1_subset_1(Z,k1_zfmisc_1(Y))
| m1_subset_1(k4_subset_1(Y,X,Z),k1_zfmisc_1(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_subset_1) ).
cnf(11,axiom,
( ~ m1_subset_1(X,k1_zfmisc_1(Y))
| ~ m1_subset_1(Z,k1_zfmisc_1(Y))
| m1_subset_1(k5_subset_1(Y,X,Z),k1_zfmisc_1(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_subset_1) ).
cnf(12,axiom,
( ~ m1_subset_1(X,k1_zfmisc_1(k1_zfmisc_1(Y)))
| m1_subset_1(k8_setfam_1(Y,X),k1_zfmisc_1(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_setfam_1) ).
cnf(36,axiom,
( ~ m1_subset_1(X,k1_zfmisc_1(k1_zfmisc_1(Y)))
| ~ m1_subset_1(Z,k1_zfmisc_1(k1_zfmisc_1(Y)))
| k1_relset_2(Y,X,Z) = k3_xboole_0(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_relset_2) ).
cnf(37,axiom,
( ~ m1_subset_1(X,k1_zfmisc_1(Y))
| ~ m1_subset_1(Z,k1_zfmisc_1(Y))
| k4_subset_1(Y,X,Z) = k2_xboole_0(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_subset_1) ).
cnf(38,axiom,
( ~ m1_subset_1(X,k1_zfmisc_1(Y))
| ~ m1_subset_1(Z,k1_zfmisc_1(Y))
| k5_subset_1(Y,X,Z) = k3_xboole_0(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).
cnf(42,axiom,
r1_tarski(k3_xboole_0(X,Y),k2_xboole_0(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t29_xboole_1) ).
cnf(48,axiom,
( ~ m1_subset_1(X,k1_zfmisc_1(k1_zfmisc_1(Y)))
| ~ m1_subset_1(Z,k1_zfmisc_1(k1_zfmisc_1(Y)))
| ~ r1_tarski(X,Z)
| r1_tarski(k8_setfam_1(Y,Z),k8_setfam_1(Y,X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t59_setfam_1) ).
cnf(53,axiom,
( ~ m1_subset_1(X,k1_zfmisc_1(k1_zfmisc_1(Y)))
| ~ m1_subset_1(Z,k1_zfmisc_1(k1_zfmisc_1(Y)))
| ~ m1_subset_1(U,k1_zfmisc_1(k1_zfmisc_1(Y)))
| X != k4_subset_1(k1_zfmisc_1(Y),Z,U)
| k8_setfam_1(Y,X) = k5_subset_1(Y,k8_setfam_1(Y,Z),k8_setfam_1(Y,U)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_mssubfam) ).
cnf(93,plain,
m1_subset_1(k8_setfam_1('SKOLEMAAAV1','SKOLEMAAAV2'),k1_zfmisc_1('SKOLEMAAAV1')),
inference('HYPERRESOLVE',[status(thm)],[12,1]) ).
cnf(94,plain,
m1_subset_1(k8_setfam_1('SKOLEMAAAV1','SKOLEMAAAV3'),k1_zfmisc_1('SKOLEMAAAV1')),
inference('HYPERRESOLVE',[status(thm)],[12,2]) ).
cnf(106,plain,
m1_subset_1(k4_subset_1(k1_zfmisc_1('SKOLEMAAAV1'),'SKOLEMAAAV2','SKOLEMAAAV3'),k1_zfmisc_1(k1_zfmisc_1('SKOLEMAAAV1'))),
inference('HYPERRESOLVE',[status(thm)],[10,1,2]) ).
cnf(127,plain,
m1_subset_1(k5_subset_1(k1_zfmisc_1('SKOLEMAAAV1'),'SKOLEMAAAV2','SKOLEMAAAV3'),k1_zfmisc_1(k1_zfmisc_1('SKOLEMAAAV1'))),
inference('HYPERRESOLVE',[status(thm)],[11,1,2]) ).
cnf(148,plain,
k4_subset_1(k1_zfmisc_1('SKOLEMAAAV1'),'SKOLEMAAAV2','SKOLEMAAAV3') = k2_xboole_0('SKOLEMAAAV2','SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[37,1,2]) ).
cnf(149,plain,
m1_subset_1(k2_xboole_0('SKOLEMAAAV2','SKOLEMAAAV3'),k1_zfmisc_1(k1_zfmisc_1('SKOLEMAAAV1'))),
inference('REWRITE',[status(thm)],[106,148,theory(equality)]) ).
cnf(173,plain,
k5_subset_1(k1_zfmisc_1('SKOLEMAAAV1'),'SKOLEMAAAV2','SKOLEMAAAV3') = k3_xboole_0('SKOLEMAAAV2','SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[38,1,2]) ).
cnf(174,plain,
m1_subset_1(k3_xboole_0('SKOLEMAAAV2','SKOLEMAAAV3'),k1_zfmisc_1(k1_zfmisc_1('SKOLEMAAAV1'))),
inference('REWRITE',[status(thm)],[127,173,theory(equality)]) ).
cnf(200,plain,
k1_relset_2('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3') = k3_xboole_0('SKOLEMAAAV2','SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[36,1,2]) ).
cnf(201,plain,
~ r1_tarski(k5_subset_1('SKOLEMAAAV1',k8_setfam_1('SKOLEMAAAV1','SKOLEMAAAV2'),k8_setfam_1('SKOLEMAAAV1','SKOLEMAAAV3')),k8_setfam_1('SKOLEMAAAV1',k3_xboole_0('SKOLEMAAAV2','SKOLEMAAAV3'))),
inference('REWRITE',[status(thm)],[3,200,theory(equality)]) ).
cnf(449,plain,
k5_subset_1('SKOLEMAAAV1',k8_setfam_1('SKOLEMAAAV1','SKOLEMAAAV2'),k8_setfam_1('SKOLEMAAAV1','SKOLEMAAAV3')) = k3_xboole_0(k8_setfam_1('SKOLEMAAAV1','SKOLEMAAAV3'),k8_setfam_1('SKOLEMAAAV1','SKOLEMAAAV2')),
inference('HYPERRESOLVE',[status(thm)],[38,94,93]) ).
cnf(450,plain,
~ r1_tarski(k3_xboole_0(k8_setfam_1('SKOLEMAAAV1','SKOLEMAAAV3'),k8_setfam_1('SKOLEMAAAV1','SKOLEMAAAV2')),k8_setfam_1('SKOLEMAAAV1',k3_xboole_0('SKOLEMAAAV2','SKOLEMAAAV3'))),
inference('REWRITE',[status(thm)],[201,449,theory(equality)]) ).
cnf(977,plain,
r1_tarski(k8_setfam_1('SKOLEMAAAV1',k2_xboole_0('SKOLEMAAAV2','SKOLEMAAAV3')),k8_setfam_1('SKOLEMAAAV1',k3_xboole_0('SKOLEMAAAV2','SKOLEMAAAV3'))),
inference('HYPERRESOLVE',[status(thm)],[48,174,149,42]) ).
cnf(2304,plain,
k8_setfam_1('SKOLEMAAAV1',k2_xboole_0('SKOLEMAAAV2','SKOLEMAAAV3')) = k3_xboole_0(k8_setfam_1('SKOLEMAAAV1','SKOLEMAAAV3'),k8_setfam_1('SKOLEMAAAV1','SKOLEMAAAV2')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[53,148,149,1,2]),449,theory(equality)]) ).
cnf(2310,plain,
$false,
inference('REWRITE',[status(thm)],[977,450,2304,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU417+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 21:37:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T21:37:14
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-19T21:37:14
% 0.18/0.48
% 0.18/0.48 ; Recognized commutativity assertion (= (|k2_xboole_0| ?X ?Y) (|k2_xboole_0| ?Y ?X)).
% 0.18/0.48 ; Recognized commutativity assertion (= (|k3_xboole_0| ?X ?Y) (|k3_xboole_0| ?Y ?X)).
% 0.18/0.48 ; Recognized right identity assertion (= (|k2_xboole_0| ?X |k1_xboole_0|) ?X).
% 0.18/0.48 ; Declaring k2_xboole_0 to be commutative.
% 0.18/0.48 WARNING:
% 0.18/0.48 |v3_relat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.91/1.11 ; Declaring k3_xboole_0 to be commutative.
% 0.91/1.11
% 0.91/1.11 #||
% 0.91/1.11 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.91/1.11 % SZS output start Refutation
% See solution above
% 0.91/1.11 ||#
% 0.91/1.11
% 0.91/1.11 ; Summary of computation:
% 0.91/1.11 ; 7381 formulas have been input or derived (from 211 formulas).
% 0.91/1.11 ; 2310 (31%) were retained. Of these,
% 0.91/1.11 ; 654 (28%) were simplified or subsumed later,
% 0.91/1.11 ; 1656 (72%) are still being kept.
% 0.91/1.11 ;
% 0.91/1.11 ; Run time in seconds excluding printing time:
% 0.91/1.11 ; 0.011 2% Read assertion file (1 call)
% 0.91/1.11 ; 0.002 0% Assert (50 calls)
% 0.91/1.11 ; 0.147 22% Process new row (7,056 calls)
% 0.91/1.11 ; 0.213 33% Resolution (420 calls)
% 0.91/1.11 ; 0.006 1% Paramodulation (210 calls)
% 0.91/1.11 ; 0.000 0% Factoring (8 calls)
% 0.91/1.11 ; 0.005 1% Condensing (476 calls)
% 0.91/1.11 ; 0.026 4% Forward subsumption (476 calls)
% 0.91/1.11 ; 0.008 1% Backward subsumption (390 calls)
% 0.91/1.11 ; 0.002 0% Clause clause subsumption (898 calls)
% 0.91/1.11 ; 0.116 18% Forward simplification (6,994 calls)
% 0.91/1.11 ; 0.057 9% Backward simplification (2,307 calls)
% 0.91/1.11 ; 0.006 1% Ordering (1,696 calls)
% 0.91/1.11 ; 0.000 0% Sortal reasoning (32 calls)
% 0.91/1.11 ; 0.000 0% Purity testing (1 call)
% 0.91/1.11 ; 0.055 8% Other
% 0.91/1.11 ; 0.654 Total
% 0.91/1.11 ; 0.657 Real time
% 0.91/1.11 ;
% 0.91/1.11 ; Term-hash-array has 3,759 terms in all.
% 0.91/1.11 ; Feature-vector-row-index has 390 entries (390 at peak, 390 added, 0 deleted).
% 0.91/1.11 ; Feature-vector-row-index has 1,492 nodes (1,492 at peak, 1,492 added, 0 deleted).
% 0.91/1.11 ; Retrieved 797 possibly forward subsuming rows in 476 calls.
% 0.91/1.11 ; Retrieved 165 possibly backward subsumed rows in 390 calls.
% 0.91/1.11 ; Path-index has 3,108 entries (3,114 at peak, 3,776 added, 668 deleted).
% 0.91/1.11 ; Path-index has 2,946 nodes (2,996 at peak, 3,725 added, 779 deleted).
% 0.91/1.11 ; Trie-index has 3,108 entries (3,114 at peak, 3,776 added, 668 deleted).
% 0.91/1.11 ; Trie-index has 15,132 nodes (15,154 at peak, 19,736 added, 4,604 deleted).
% 0.91/1.11 ; Retrieved 20,647 generalization terms in 24,256 calls.
% 0.91/1.11 ; Retrieved 2,374 instance terms in 1,916 calls.
% 0.91/1.11 ; Retrieved 206,321 unifiable terms in 15,391 calls.
% 0.91/1.11 ;
% 0.91/1.11 ; The agenda of rows to process has 1 entry:
% 0.91/1.11 ; 1 with value 48
% 0.91/1.11 ; The agenda of rows to give has 1457 entries:
% 0.91/1.11 ; 57 with value (4 13) 85 with value (4 22) 16 with value (4 31)
% 0.91/1.11 ; 62 with value (4 14) 99 with value (4 23) 22 with value (4 32)
% 0.91/1.11 ; 94 with value (4 15) 50 with value (4 24) 12 with value (4 33)
% 0.91/1.11 ; 94 with value (4 16) 81 with value (4 25) 8 with value (4 34)
% 0.91/1.11 ; 133 with value (4 17) 54 with value (4 26) 8 with value (4 35)
% 0.91/1.11 ; 114 with value (4 18) 49 with value (4 27) 4 with value (4 36)
% 0.91/1.11 ; 165 with value (4 19) 25 with value (4 28) 4 with value (4 38)
% 0.91/1.11 ; 79 with value (4 20) 32 with value (4 29) 2 with value (4 39)
% 0.91/1.11 ; 88 with value (4 21) 20 with value (4 30)
% 0.91/1.11 Evaluation took:
% 0.91/1.11 0.658 seconds of real time
% 0.91/1.11 0.609629 seconds of user run time
% 0.91/1.11 0.048066 seconds of system run time
% 0.91/1.11 [Run times include 0.036 seconds GC run time.]
% 0.91/1.11 0 calls to %EVAL
% 0.91/1.11 0 page faults and
% 0.91/1.11 54,751,856 bytes consed.
% 0.91/1.11 :PROOF-FOUND
% 0.91/1.11 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T21:37:15
% 0.91/1.11 :PROOF-FOUND
% 0.91/1.11 *
%------------------------------------------------------------------------------