TSTP Solution File: SEU048+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU048+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 14:18:53 EDT 2022
% Result : Theorem 0.67s 0.85s
% Output : Refutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 13
% Syntax : Number of clauses : 25 ( 16 unt; 3 nHn; 21 RR)
% Number of literals : 58 ( 12 equ; 32 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 21 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( ~ relation(X)
| ~ function(X)
| ~ one_to_one(X)
| ~ in(Y,relation_dom(X))
| ~ in(Z,relation_dom(X))
| apply(X,Y) != apply(X,Z)
| Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_funct_1) ).
cnf(6,axiom,
( ~ relation(X)
| ~ function(X)
| one_to_one(X)
| in('SKOLEMAAAV1'(X),relation_dom(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_funct_1) ).
cnf(7,axiom,
( ~ relation(X)
| ~ function(X)
| one_to_one(X)
| in('SKOLEMAAAV2'(X),relation_dom(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_funct_1) ).
cnf(8,axiom,
( ~ relation(X)
| ~ function(X)
| one_to_one(X)
| apply(X,'SKOLEMAAAV1'(X)) = apply(X,'SKOLEMAAAV2'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_funct_1) ).
cnf(9,axiom,
( ~ relation(X)
| ~ function(X)
| one_to_one(X)
| 'SKOLEMAAAV1'(X) != 'SKOLEMAAAV2'(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_funct_1) ).
cnf(10,axiom,
( ~ relation(X)
| relation(relation_rng_restriction(Y,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).
cnf(15,axiom,
( ~ relation(X)
| ~ function(X)
| function(relation_rng_restriction(Y,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_funct_1) ).
cnf(47,axiom,
( ~ relation(X)
| ~ function(X)
| ~ relation(Y)
| ~ function(Y)
| X != relation_rng_restriction(Z,Y)
| ~ in(U,relation_dom(X))
| in(U,relation_dom(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t85_funct_1) ).
cnf(50,axiom,
( ~ relation(X)
| ~ function(X)
| ~ relation(Y)
| ~ function(Y)
| X != relation_rng_restriction(Z,Y)
| ~ in(U,relation_dom(X))
| apply(X,U) = apply(Y,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t85_funct_1) ).
cnf(58,negated_conjecture,
relation('SKOLEMAAAV17'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t99_funct_1) ).
cnf(59,negated_conjecture,
function('SKOLEMAAAV17'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t99_funct_1) ).
cnf(60,negated_conjecture,
one_to_one('SKOLEMAAAV17'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t99_funct_1) ).
cnf(61,negated_conjecture,
~ one_to_one(relation_rng_restriction('SKOLEMAAAV16','SKOLEMAAAV17')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t99_funct_1) ).
cnf(79,plain,
relation(relation_rng_restriction(X,'SKOLEMAAAV17')),
inference('HYPERRESOLVE',[status(thm)],[10,58]) ).
cnf(99,plain,
function(relation_rng_restriction(X,'SKOLEMAAAV17')),
inference('HYPERRESOLVE',[status(thm)],[15,58,59]) ).
cnf(177,plain,
'SKOLEMAAAV1'(relation_rng_restriction('SKOLEMAAAV16','SKOLEMAAAV17')) != 'SKOLEMAAAV2'(relation_rng_restriction('SKOLEMAAAV16','SKOLEMAAAV17')),
inference('UR-RESOLVE',[status(thm)],[9,99,79,61]) ).
cnf(178,plain,
in('SKOLEMAAAV2'(relation_rng_restriction('SKOLEMAAAV16','SKOLEMAAAV17')),relation_dom(relation_rng_restriction('SKOLEMAAAV16','SKOLEMAAAV17'))),
inference('UR-RESOLVE',[status(thm)],[7,99,79,61]) ).
cnf(179,plain,
in('SKOLEMAAAV1'(relation_rng_restriction('SKOLEMAAAV16','SKOLEMAAAV17')),relation_dom(relation_rng_restriction('SKOLEMAAAV16','SKOLEMAAAV17'))),
inference('UR-RESOLVE',[status(thm)],[6,99,79,61]) ).
cnf(182,plain,
apply(relation_rng_restriction('SKOLEMAAAV16','SKOLEMAAAV17'),'SKOLEMAAAV1'(relation_rng_restriction('SKOLEMAAAV16','SKOLEMAAAV17'))) = apply(relation_rng_restriction('SKOLEMAAAV16','SKOLEMAAAV17'),'SKOLEMAAAV2'(relation_rng_restriction('SKOLEMAAAV16','SKOLEMAAAV17'))),
inference('UR-RESOLVE',[status(thm)],[8,99,79,61]) ).
cnf(643,plain,
in('SKOLEMAAAV2'(relation_rng_restriction('SKOLEMAAAV16','SKOLEMAAAV17')),relation_dom('SKOLEMAAAV17')),
inference('HYPERRESOLVE',[status(thm)],[47,178,79,99,58,59,theory(equality)]) ).
cnf(654,plain,
apply(relation_rng_restriction('SKOLEMAAAV16','SKOLEMAAAV17'),'SKOLEMAAAV1'(relation_rng_restriction('SKOLEMAAAV16','SKOLEMAAAV17'))) = apply('SKOLEMAAAV17','SKOLEMAAAV2'(relation_rng_restriction('SKOLEMAAAV16','SKOLEMAAAV17'))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[50,178,79,99,58,59,theory(equality)]),182,theory(equality)]) ).
cnf(719,plain,
in('SKOLEMAAAV1'(relation_rng_restriction('SKOLEMAAAV16','SKOLEMAAAV17')),relation_dom('SKOLEMAAAV17')),
inference('HYPERRESOLVE',[status(thm)],[47,179,79,99,58,59,theory(equality)]) ).
cnf(723,plain,
apply(relation_rng_restriction('SKOLEMAAAV16','SKOLEMAAAV17'),'SKOLEMAAAV1'(relation_rng_restriction('SKOLEMAAAV16','SKOLEMAAAV17'))) = apply('SKOLEMAAAV17','SKOLEMAAAV1'(relation_rng_restriction('SKOLEMAAAV16','SKOLEMAAAV17'))),
inference('HYPERRESOLVE',[status(thm)],[50,179,79,99,58,59,theory(equality)]) ).
cnf(725,plain,
apply('SKOLEMAAAV17','SKOLEMAAAV1'(relation_rng_restriction('SKOLEMAAAV16','SKOLEMAAAV17'))) = apply('SKOLEMAAAV17','SKOLEMAAAV2'(relation_rng_restriction('SKOLEMAAAV16','SKOLEMAAAV17'))),
inference('REWRITE',[status(thm)],[654,723,theory(equality)]) ).
cnf(731,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[5,719,58,59,60,643,177]),725,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU048+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 19 08:01:25 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T08:01:25
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-19T08:01:25
% 0.19/0.48 WARNING:
% 0.19/0.48 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.67/0.85
% 0.67/0.85
% 0.67/0.85 #||
% 0.67/0.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.67/0.85 % SZS output start Refutation
% See solution above
% 0.70/0.85 ||#
% 0.70/0.85
% 0.70/0.85 ; Summary of computation:
% 0.70/0.85 ; 1600 formulas have been input or derived (from 240 formulas).
% 0.70/0.85 ; 731 (46%) were retained. Of these,
% 0.70/0.85 ; 65 ( 9%) were simplified or subsumed later,
% 0.70/0.85 ; 666 (91%) are still being kept.
% 0.70/0.85 ;
% 0.70/0.85 ; Run time in seconds excluding printing time:
% 0.70/0.85 ; 0.007 2% Read assertion file (1 call)
% 0.70/0.85 ; 0.001 0% Assert (35 calls)
% 0.70/0.85 ; 0.066 17% Process new row (1,345 calls)
% 0.70/0.85 ; 0.207 53% Resolution (478 calls)
% 0.70/0.85 ; 0.003 1% Paramodulation (239 calls)
% 0.70/0.85 ; 0.000 0% Factoring (8 calls)
% 0.70/0.85 ; 0.006 2% Condensing (353 calls)
% 0.70/0.85 ; 0.026 7% Forward subsumption (353 calls)
% 0.70/0.85 ; 0.014 4% Backward subsumption (303 calls)
% 0.70/0.85 ; 0.000 0% Clause clause subsumption (396 calls)
% 0.70/0.85 ; 0.021 5% Forward simplification (1,198 calls)
% 0.70/0.85 ; 0.006 2% Backward simplification (731 calls)
% 0.70/0.85 ; 0.008 2% Ordering (1,103 calls)
% 0.70/0.85 ; 0.000 0% Sortal reasoning (32 calls)
% 0.70/0.85 ; 0.001 0% Purity testing (1 call)
% 0.70/0.85 ; 0.024 6% Other
% 0.70/0.85 ; 0.390 Total
% 0.70/0.85 ; 0.394 Real time
% 0.70/0.85 ;
% 0.70/0.85 ; Term-hash-array has 1,635 terms in all.
% 0.70/0.86 ; Feature-vector-row-index has 282 entries (283 at peak, 303 added, 21 deleted).
% 0.70/0.86 ; Feature-vector-row-index has 2,678 nodes (2,692 at peak, 2,906 added, 228 deleted).
% 0.70/0.86 ; Retrieved 404 possibly forward subsuming rows in 353 calls.
% 0.70/0.86 ; Retrieved 46 possibly backward subsumed rows in 303 calls.
% 0.70/0.86 ; Path-index has 1,559 entries (1,559 at peak, 1,718 added, 159 deleted).
% 0.70/0.86 ; Path-index has 1,840 nodes (1,845 at peak, 1,924 added, 84 deleted).
% 0.70/0.86 ; Trie-index has 1,559 entries (1,559 at peak, 1,718 added, 159 deleted).
% 0.70/0.86 ; Trie-index has 5,402 nodes (5,402 at peak, 5,822 added, 420 deleted).
% 0.70/0.86 ; Retrieved 857 generalization terms in 6,207 calls.
% 0.70/0.86 ; Retrieved 440 instance terms in 427 calls.
% 0.70/0.86 ; Retrieved 236,737 unifiable terms in 47,783 calls.
% 0.70/0.86 ;
% 0.70/0.86 ; The agenda of rows to process has 1 entry:
% 0.70/0.86 ; 1 with value 26
% 0.70/0.86 ; The agenda of rows to give has 441 entries:
% 0.70/0.86 ; 41 with value (4 14) 3 with value (4 30) 9 with value (4 51)
% 0.70/0.86 ; 51 with value (4 15) 3 with value (4 31) 9 with value (4 52)
% 0.70/0.86 ; 26 with value (4 16) 3 with value (4 32) 9 with value (4 61)
% 0.70/0.86 ; 20 with value (4 17) 3 with value (4 33) 9 with value (4 63)
% 0.70/0.86 ; 25 with value (4 18) 6 with value (4 34) 9 with value (4 64)
% 0.70/0.86 ; 30 with value (4 19) 3 with value (4 35) 9 with value (4 66)
% 0.70/0.86 ; 22 with value (4 20) 9 with value (4 36) 9 with value (4 67)
% 0.70/0.86 ; 1 with value (4 21) 3 with value (4 37) 9 with value (4 69)
% 0.70/0.86 ; 4 with value (4 22) 3 with value (4 40) 9 with value (4 76)
% 0.70/0.86 ; 5 with value (4 23) 3 with value (4 42) 9 with value (4 77)
% 0.70/0.86 ; 4 with value (4 24) 3 with value (4 43) 9 with value (4 78)
% 0.70/0.86 ; 4 with value (4 26) 3 with value (4 45) 9 with value (4 79)
% 0.70/0.86 ; 2 with value (4 27) 9 with value (4 49) 9 with value (4 88)
% 0.70/0.86 ; 5 with value (4 28) 12 with value (4 50) 9 with value (4 90)
% 0.70/0.86 ; 9 with value (4 29)
% 0.70/0.86 Evaluation took:
% 0.70/0.86 0.395 seconds of real time
% 0.70/0.86 0.381574 seconds of user run time
% 0.70/0.86 0.012823 seconds of system run time
% 0.70/0.86 [Run times include 0.015 seconds GC run time.]
% 0.70/0.86 0 calls to %EVAL
% 0.70/0.86 0 page faults and
% 0.70/0.86 32,201,344 bytes consed.
% 0.70/0.86 :PROOF-FOUND
% 0.70/0.86 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T08:01:25
% 0.70/0.86 :PROOF-FOUND
% 0.70/0.86 *
%------------------------------------------------------------------------------