TSTP Solution File: SWV157+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV157+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 : Wed Jul 20 21:31:59 EDT 2022
% Result : Theorem 170.27s 170.47s
% Output : Refutation 170.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 13 ( 9 unt; 1 nHn; 13 RR)
% Number of literals : 20 ( 7 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 15 con; 0-3 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(11,axiom,
( ~ leq(X,Y)
| X = Y
| gt(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt2) ).
cnf(13,axiom,
( leq(X,pred(Y))
| ~ gt(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).
cnf(256,negated_conjecture,
pv84 = sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0007) ).
cnf(261,negated_conjecture,
( ~ leq(n0,X)
| ~ leq(X,pred(pv47))
| a_select3(q,pv10,X) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X)),minus(a_select2(x,pv10),a_select2(mu,X))),tptp_minus_2),times(a_select2(sigma,X),a_select2(sigma,X)))),a_select2(rho,X)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0007) ).
cnf(262,plain,
( ~ leq(n0,X)
| ~ leq(X,pred(pv47))
| a_select3(q,pv10,X) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X)),minus(a_select2(x,pv10),a_select2(mu,X))),tptp_minus_2),times(a_select2(sigma,X),a_select2(sigma,X)))),a_select2(rho,X)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X))),pv84) ),
inference('REWRITE',[status(thm)],[261,256,theory(equality)]) ).
cnf(264,negated_conjecture,
leq(n0,'SKOLEMAAAV28'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0007) ).
cnf(265,negated_conjecture,
leq('SKOLEMAAAV28',pv47),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0007) ).
cnf(266,negated_conjecture,
pv47 != 'SKOLEMAAAV28',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0007) ).
cnf(267,negated_conjecture,
a_select3(q,pv10,'SKOLEMAAAV28') != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,'SKOLEMAAAV28')),minus(a_select2(x,pv10),a_select2(mu,'SKOLEMAAAV28'))),tptp_minus_2),times(a_select2(sigma,'SKOLEMAAAV28'),a_select2(sigma,'SKOLEMAAAV28')))),a_select2(rho,'SKOLEMAAAV28')),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,'SKOLEMAAAV28'))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0007) ).
cnf(268,plain,
a_select3(q,pv10,'SKOLEMAAAV28') != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,'SKOLEMAAAV28')),minus(a_select2(x,pv10),a_select2(mu,'SKOLEMAAAV28'))),tptp_minus_2),times(a_select2(sigma,'SKOLEMAAAV28'),a_select2(sigma,'SKOLEMAAAV28')))),a_select2(rho,'SKOLEMAAAV28')),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,'SKOLEMAAAV28'))),pv84),
inference('REWRITE',[status(thm)],[267,256,theory(equality)]) ).
cnf(606,plain,
gt(pv47,'SKOLEMAAAV28'),
inference('UR-RESOLVE',[status(thm)],[11,265,266]) ).
cnf(1573,plain,
~ leq('SKOLEMAAAV28',pred(pv47)),
inference('UR-RESOLVE',[status(thm)],[262,264,268]) ).
cnf(54856,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[13,606]),1573]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV157+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n003.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 : Wed Jun 15 13:12:26 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.48 *
% 0.22/0.48 *
% 0.22/0.49 #<PACKAGE "SNARK-USER">
% 0.22/0.49 *
% 0.22/0.49 SNARK-TPTP-OPTIONS
% 0.22/0.49 *
% 0.22/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.49 (USE-FACTORING :POS)
% 0.22/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.49 *
% 0.22/0.49 "."
% 0.22/0.49 *
% 0.22/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T13:12:26
% 0.22/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-06-15T13:12:26
% 0.22/0.54 WARNING:
% 0.22/0.54 #:|true| is a proposition that occurs only positively; disabling rows that contain it.
% 170.27/170.47
% 170.27/170.47
% 170.27/170.47 #||
% 170.27/170.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 170.27/170.47 % SZS output start Refutation
% See solution above
% 170.27/170.47 ||#
% 170.27/170.47
% 170.27/170.47 ; Summary of computation:
% 170.27/170.47 ; 122804 formulas have been input or derived (from 433 formulas).
% 170.27/170.47 ; 54856 (45%) were retained. Of these,
% 170.27/170.47 ; 7 ( 0%) were simplified or subsumed later,
% 170.27/170.47 ; 54849 (100%) are still being kept.
% 170.27/170.47 ;
% 170.27/170.47 ; Run time in seconds excluding printing time:
% 170.27/170.47 ; 0.025 0% Read assertion file (1 call)
% 170.27/170.47 ; 0.012 0% Assert (100 calls)
% 170.27/170.47 ; 5.820 3% Process new row (121,674 calls)
% 170.27/170.47 ; 147.317 87% Resolution (864 calls)
% 170.27/170.47 ; 0.083 0% Paramodulation (432 calls)
% 170.27/170.47 ; 0.000 0% Factoring (1 call)
% 170.27/170.47 ; 0.452 0% Condensing (32,840 calls)
% 170.27/170.47 ; 6.155 4% Forward subsumption (32,840 calls)
% 170.27/170.47 ; 1.991 1% Backward subsumption (17,708 calls)
% 170.27/170.47 ; 0.223 0% Clause clause subsumption (35,537 calls)
% 170.27/170.47 ; 3.444 2% Forward simplification (121,673 calls)
% 170.27/170.47 ; 3.891 2% Backward simplification (54,850 calls)
% 170.27/170.47 ; 0.156 0% Ordering (141,839 calls)
% 170.27/170.47 ; 0.001 0% Sortal reasoning (32 calls)
% 170.27/170.47 ; 0.002 0% Purity testing (1 call)
% 170.27/170.47 ; 0.417 0% Other
% 170.27/170.47 ; 169.989 Total
% 170.27/170.47 ; 169.984 Real time
% 170.27/170.47 ;
% 170.27/170.48 ; Term-hash-array has 83,287 terms in all.
% 170.27/170.48 ; Feature-vector-row-index has 17,708 entries (17,708 at peak, 17,708 added, 0 deleted).
% 170.27/170.48 ; Feature-vector-row-index has 81,463 nodes (81,463 at peak, 81,463 added, 0 deleted).
% 170.27/170.48 ; Retrieved 49,867 possibly forward subsuming rows in 32,840 calls.
% 170.27/170.48 ; Retrieved 10,364 possibly backward subsumed rows in 17,708 calls.
% 170.27/170.48 ; Path-index has 83,306 entries (83,306 at peak, 83,310 added, 4 deleted).
% 170.27/170.48 ; Path-index has 4,388 nodes (4,388 at peak, 4,392 added, 4 deleted).
% 170.27/170.48 ; Trie-index has 83,306 entries (83,306 at peak, 83,310 added, 4 deleted).
% 170.27/170.48 ; Trie-index has 169,847 nodes (169,847 at peak, 169,855 added, 8 deleted).
% 170.27/170.48 ; Retrieved 223,765 generalization terms in 365,879 calls.
% 170.27/170.48 ; Retrieved 74,757 instance terms in 37,141 calls.
% 170.27/170.48 ; Retrieved 189,925,883 unifiable terms in 360,044 calls.
% 170.27/170.48 ;
% 170.27/170.48 ; The agenda of rows to process has 7 entries:
% 170.27/170.48 ; 3 with value 8 4 with value 14
% 170.27/170.48 ; The agenda of rows to give has 54416 entries:
% 170.27/170.48 ; 117 with value (4 6) 6 with value (4 17) 2204 with value (4 29)
% 170.27/170.48 ; 51 with value (4 7) 306 with value (4 18) 161 with value (4 31)
% 170.27/170.48 ; 79 with value (4 8) 36216 with value (4 19) 2596 with value (4 32)
% 170.27/170.48 ; 34 with value (4 9) 11 with value (4 20) 464 with value (4 33)
% 170.27/170.48 ; 1 with value (4 10) 49 with value (4 21) 1 with value (4 69)
% 170.27/170.48 ; 13 with value (4 11) 41 with value (4 22) 1 with value (4 72)
% 170.27/170.48 ; 76 with value (4 13) 961 with value (4 23) 320 with value (4 78)
% 170.27/170.48 ; 23 with value (4 14) 5333 with value (4 24) 5120 with value (4 79)
% 170.27/170.48 ; 176 with value (4 15) 8 with value (4 25) 1 with value (4 105)
% 170.27/170.48 ; 2 with value (4 16) 44 with value (4 28) 1 with value (4 108)
% 170.27/170.48 Evaluation took:
% 170.27/170.48 169.993 seconds of real time
% 170.27/170.48 168.37189 seconds of user run time
% 170.27/170.48 1.629165 seconds of system run time
% 170.27/170.48 [Run times include 6.41 seconds GC run time.]
% 170.27/170.48 0 calls to %EVAL
% 170.27/170.48 0 page faults and
% 170.27/170.48 3,563,281,960 bytes consed.
% 170.27/170.48 :PROOF-FOUND
% 170.27/170.48 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T13:15:16
% 170.27/170.48 :PROOF-FOUND
% 170.27/170.48 *
%------------------------------------------------------------------------------