TSTP Solution File: SEU430+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU430+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 14:22:43 EDT 2022
% Result : Theorem 14.25s 14.41s
% Output : Refutation 14.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of clauses : 24 ( 8 unt; 6 nHn; 21 RR)
% Number of literals : 46 ( 23 equ; 22 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 22 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
m1_subset_1('SKOLEMAAAV2',k1_zfmisc_1(k1_zfmisc_1('SKOLEMAAAV1'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_relset_2) ).
cnf(2,negated_conjecture,
( k5_setfam_1('SKOLEMAAAV1','SKOLEMAAAV2') != k1_xboole_0
| r2_hidden('SKOLEMAAAV3','SKOLEMAAAV2') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_relset_2) ).
cnf(3,negated_conjecture,
( k5_setfam_1('SKOLEMAAAV1','SKOLEMAAAV2') != k1_xboole_0
| 'SKOLEMAAAV3' != k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_relset_2) ).
cnf(4,negated_conjecture,
( k5_setfam_1('SKOLEMAAAV1','SKOLEMAAAV2') = k1_xboole_0
| ~ r2_hidden(X,'SKOLEMAAAV2')
| X = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_relset_2) ).
cnf(6,axiom,
( X != k1_xboole_0
| ~ r2_hidden(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).
cnf(7,axiom,
( X = k1_xboole_0
| r2_hidden('SKOLEMAAAV4'(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).
cnf(8,axiom,
( X != k3_tarski(Y)
| ~ r2_hidden(Z,X)
| r2_hidden(Z,'SKOLEMAAAV5'(Z,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tarski) ).
cnf(9,axiom,
( X != k3_tarski(Y)
| ~ r2_hidden(Z,X)
| r2_hidden('SKOLEMAAAV5'(Z,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tarski) ).
cnf(10,axiom,
( X != k3_tarski(Y)
| r2_hidden(Z,X)
| ~ r2_hidden(Z,U)
| ~ r2_hidden(U,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tarski) ).
cnf(16,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc12_relat_1) ).
cnf(24,axiom,
( ~ m1_subset_1(X,k1_zfmisc_1(k1_zfmisc_1(Y)))
| k5_setfam_1(Y,X) = k3_tarski(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_setfam_1) ).
cnf(33,axiom,
( ~ r2_hidden(X,Y)
| ~ v1_xboole_0(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
cnf(38,plain,
~ r2_hidden(X,k1_xboole_0),
inference('UR-RESOLVE',[status(thm)],[33,16]) ).
cnf(64,plain,
k5_setfam_1('SKOLEMAAAV1','SKOLEMAAAV2') = k3_tarski('SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[24,1]) ).
cnf(65,plain,
( k3_tarski('SKOLEMAAAV2') != k1_xboole_0
| r2_hidden('SKOLEMAAAV3','SKOLEMAAAV2') ),
inference('REWRITE',[status(thm)],[2,64,theory(equality)]) ).
cnf(66,plain,
( k3_tarski('SKOLEMAAAV2') != k1_xboole_0
| 'SKOLEMAAAV3' != k1_xboole_0 ),
inference('REWRITE',[status(thm)],[3,64,theory(equality)]) ).
cnf(67,plain,
( k3_tarski('SKOLEMAAAV2') = k1_xboole_0
| ~ r2_hidden(X,'SKOLEMAAAV2')
| X = k1_xboole_0 ),
inference('REWRITE',[status(thm)],[4,64,theory(equality)]) ).
cnf(76,plain,
( k3_tarski(X) = k1_xboole_0
| r2_hidden('SKOLEMAAAV4'(k3_tarski(X)),'SKOLEMAAAV5'('SKOLEMAAAV4'(k3_tarski(X)),X)) ),
inference('HYPERRESOLVE',[status(thm)],[8,7,theory(equality)]) ).
cnf(77,plain,
( k3_tarski(X) = k1_xboole_0
| r2_hidden('SKOLEMAAAV5'('SKOLEMAAAV4'(k3_tarski(X)),X),X) ),
inference('HYPERRESOLVE',[status(thm)],[9,7,theory(equality)]) ).
cnf(6073,plain,
( k3_tarski('SKOLEMAAAV2') = k1_xboole_0
| 'SKOLEMAAAV5'('SKOLEMAAAV4'(k3_tarski('SKOLEMAAAV2')),'SKOLEMAAAV2') = k1_xboole_0 ),
inference('HYPERRESOLVE',[status(thm)],[67,77]) ).
cnf(31766,plain,
k3_tarski('SKOLEMAAAV2') = k1_xboole_0,
inference('HYPERRESOLVE',[status(thm)],[6,76,6073]) ).
cnf(31768,plain,
r2_hidden('SKOLEMAAAV3','SKOLEMAAAV2'),
inference('REWRITE',[status(thm)],[65,31766,theory(equality)]) ).
cnf(31769,plain,
'SKOLEMAAAV3' != k1_xboole_0,
inference('REWRITE',[status(thm)],[66,31766,theory(equality)]) ).
cnf(32011,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10,31768,7,theory(equality)]),38,31766,31769,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU430+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n023.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 20 13:13:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T13:13:03
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-20T13:13:03
% 0.19/0.49 WARNING:
% 0.19/0.49 |v1_relat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49 WARNING:
% 0.19/0.49 |v3_relat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 14.25/14.41
% 14.25/14.41
% 14.25/14.41 #||
% 14.25/14.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.25/14.41 % SZS output start Refutation
% See solution above
% 14.25/14.41 ||#
% 14.25/14.41
% 14.25/14.41 ; Summary of computation:
% 14.25/14.41 ; 62184 formulas have been input or derived (from 1532 formulas).
% 14.25/14.41 ; 32011 (51%) were retained. Of these,
% 14.25/14.41 ; 2092 ( 7%) were simplified or subsumed later,
% 14.25/14.41 ; 29919 (93%) are still being kept.
% 14.25/14.41 ;
% 14.25/14.41 ; Run time in seconds excluding printing time:
% 14.25/14.41 ; 0.005 0% Read assertion file (1 call)
% 14.25/14.41 ; 0.001 0% Assert (29 calls)
% 14.25/14.41 ; 2.773 20% Process new row (56,034 calls)
% 14.25/14.41 ; 5.519 40% Resolution (3,062 calls)
% 14.25/14.41 ; 0.684 5% Paramodulation (1,531 calls)
% 14.25/14.41 ; 0.000 0% Factoring (97 calls)
% 14.25/14.41 ; 0.028 0% Condensing (7,919 calls)
% 14.25/14.41 ; 2.263 16% Forward subsumption (7,919 calls)
% 14.25/14.41 ; 0.251 2% Backward subsumption (4,381 calls)
% 14.25/14.41 ; 0.130 1% Clause clause subsumption (28,763 calls)
% 14.25/14.41 ; 1.475 11% Forward simplification (55,996 calls)
% 14.25/14.41 ; 0.484 3% Backward simplification (32,011 calls)
% 14.25/14.41 ; 0.066 0% Ordering (38,984 calls)
% 14.25/14.41 ; 0.001 0% Sortal reasoning (32 calls)
% 14.25/14.41 ; 0.000 0% Purity testing (1 call)
% 14.25/14.41 ; 0.260 2% Other
% 14.25/14.41 ; 13.940 Total
% 14.25/14.41 ; 13.941 Real time
% 14.25/14.42 ;
% 14.25/14.42 ; Term-hash-array has 46,188 terms in all.
% 14.25/14.42 ; Feature-vector-row-index has 3,070 entries (4,073 at peak, 4,381 added, 1,311 deleted).
% 14.25/14.42 ; Feature-vector-row-index has 29,885 nodes (40,608 at peak, 43,691 added, 13,806 deleted).
% 14.25/14.42 ; Retrieved 44,883 possibly forward subsuming rows in 7,919 calls.
% 14.25/14.42 ; Retrieved 1,510 possibly backward subsumed rows in 4,381 calls.
% 14.25/14.42 ; Path-index has 43,031 entries (45,684 at peak, 46,724 added, 3,693 deleted).
% 14.25/14.42 ; Path-index has 61,068 nodes (64,156 at peak, 64,914 added, 3,846 deleted).
% 14.25/14.42 ; Trie-index has 43,031 entries (45,684 at peak, 46,724 added, 3,693 deleted).
% 14.25/14.42 ; Trie-index has 216,398 nodes (227,601 at peak, 231,137 added, 14,739 deleted).
% 14.25/14.42 ; Retrieved 68,855 generalization terms in 253,425 calls.
% 14.25/14.42 ; Retrieved 30,607 instance terms in 27,629 calls.
% 14.25/14.42 ; Retrieved 2,548,148 unifiable terms in 103,915 calls.
% 14.25/14.42 ;
% 14.25/14.42 ; The agenda of rows to process has 56 entries:
% 14.25/14.42 ; 5 with value 12 5 with value 16 7 with value 20
% 14.25/14.42 ; 1 with value 13 5 with value 17 10 with value 21
% 14.25/14.42 ; 2 with value 14 8 with value 18 9 with value 22
% 14.25/14.42 ; 3 with value 15 1 with value 19
% 14.25/14.42 ; The agenda of input rows to give has 1 entry:
% 14.25/14.42 ; 1 with value 4
% 14.25/14.42 ; The agenda of rows to give has 28469 entries:
% 14.25/14.42 ; 1 with value (4 4) 1615 with value (4 27) 149 with value (4 49)
% 14.25/14.42 ; 3 with value (4 5) 1715 with value (4 28) 78 with value (4 50)
% 14.25/14.42 ; 2 with value (4 7) 1701 with value (4 29) 61 with value (4 51)
% 14.25/14.42 ; 3 with value (4 8) 1571 with value (4 30) 65 with value (4 52)
% 14.25/14.42 ; 4 with value (4 9) 1463 with value (4 31) 43 with value (4 53)
% 14.25/14.42 ; 4 with value (4 10) 1628 with value (4 32) 24 with value (4 54)
% 14.25/14.42 ; 4 with value (4 11) 1359 with value (4 33) 29 with value (4 55)
% 14.25/14.42 ; 1 with value (4 12) 1252 with value (4 34) 8 with value (4 56)
% 14.25/14.42 ; 2 with value (4 13) 1040 with value (4 35) 9 with value (4 57)
% 14.25/14.42 ; 3 with value (4 14) 1055 with value (4 36) 7 with value (4 58)
% 14.25/14.42 ; 4 with value (4 15) 1062 with value (4 37) 2 with value (4 59)
% 14.25/14.42 ; 6 with value (4 16) 1033 with value (4 38) 1 with value (4 60)
% 14.25/14.42 ; 5 with value (4 17) 665 with value (4 39) 3 with value (4 61)
% 14.25/14.42 ; 11 with value (4 18) 744 with value (4 40) 1 with value (4 62)
% 14.25/14.42 ; 8 with value (4 19) 694 with value (4 41) 1 with value (4 63)
% 14.25/14.42 ; 572 with value (4 20) 723 with value (4 42) 2 with value (4 65)
% 14.25/14.42 ; 628 with value (4 21) 297 with value (4 43) 3 with value (4 66)
% 14.25/14.42 ; 789 with value (4 22) 288 with value (4 44) 2 with value (4 67)
% 14.25/14.42 ; 1115 with value (4 23) 215 with value (4 45) 1 with value (4 70)
% 14.25/14.42 ; 1252 with value (4 24) 191 with value (4 46) 1 with value (4 71)
% 14.25/14.42 ; 1317 with value (4 25) 214 with value (4 47) 1 with value (4 73)
% 14.25/14.42 ; 1527 with value (4 26) 191 with value (4 48) 1 with value (4 74)
% 14.25/14.42 Evaluation took:
% 14.25/14.42 13.946 seconds of real time
% 14.25/14.42 13.062939 seconds of user run time
% 14.25/14.42 0.88405 seconds of system run time
% 14.25/14.42 [Run times include 4.136 seconds GC run time.]
% 14.25/14.42 0 calls to %EVAL
% 14.25/14.42 0 page faults and
% 14.25/14.42 978,594,072 bytes consed.
% 14.25/14.42 :PROOF-FOUND
% 14.25/14.42 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T13:13:17
% 14.25/14.42 :PROOF-FOUND
% 14.25/14.42 *
%------------------------------------------------------------------------------